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import gradio as gr
import numpy as np
def solve_cubic(a, b, c, d):
"""
Solve cubic equation: a*x^3 + b*x^2 + c*x + d = 0
Returns a tuple of three roots (complex or real).
"""
if a == 0:
# Degenerates to quadratic
from .solve_quadratic import solve_quadratic
result = solve_quadratic(b, c, d, return_format="dict")
roots = result["roots"]
return (roots[0], roots[1], None)
# Use numpy.roots for cubic
roots = np.roots([a, b, c, d])
# Ensure three roots (may be complex)
if len(roots) < 3:
roots = tuple(list(roots) + [None]*(3-len(roots)))
else:
roots = tuple(roots)
return roots
def cubic_solver_wrapper(a, b, c, d):
roots = solve_cubic(a, b, c, d)
output = f"Equation: {a}x³ + {b}x² + {c}x + {d} = 0\n\n"
for i, root in enumerate(roots):
if root is not None:
if np.isreal(root):
output += f"Root {i+1}: {root.real}\n"
else:
output += f"Root {i+1}: {root}\n"
return output
cubic_solver_interface = gr.Interface(
fn=cubic_solver_wrapper,
inputs=[
gr.Number(label="a (coefficient of x³)"),
gr.Number(label="b (coefficient of x²)"),
gr.Number(label="c (coefficient of x)"),
gr.Number(label="d (constant)")
],
outputs="text",
title="Cubic Equation Solver",
description="""
Solve cubic equations of the form ax³ + bx² + cx + d = 0. Enter the coefficients for your cubic equation.
Example: For x³ - 6x² + 11x - 6 = 0, enter a=1, b=-6, c=11, d=-6.
Returns all real and complex roots.
""",
examples=[
[1, -6, 11, -6],
[2, 0, -4, 2],
[1, 0, 0, -8]
]
)
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