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import sympy
import gradio as gr
def calculate_limit(expression_str: str, variable_str: str, point_str: str, direction: str = '+-') -> str:
"""
Calculates the limit of an expression as a variable approaches a point.
Args:
expression_str: The mathematical expression as a string (e.g., "sin(x)/x").
variable_str: The variable in the expression (e.g., "x").
point_str: The point the variable is approaching (e.g., "0", "oo" for infinity).
direction: The direction of the limit ('+', '-', or '+-' for both sides).
Returns:
A string representing the limit or an error message.
"""
try:
var = sympy.Symbol(variable_str)
local_dict = {variable_str: var}
expr = sympy.parse_expr(expression_str, local_dict=local_dict, transformations='all')
if point_str.lower() == 'oo':
point = sympy.oo
elif point_str.lower() == '-oo':
point = -sympy.oo
else:
point = sympy.sympify(point_str)
if direction == '+':
limit_val = sympy.limit(expr, var, point, dir='+')
elif direction == '-':
limit_val = sympy.limit(expr, var, point, dir='-')
else:
limit_val = sympy.limit(expr, var, point)
return str(limit_val)
except (sympy.SympifyError, TypeError, SyntaxError) as e:
return f"Error parsing expression or point: {e}. Ensure valid Sympy syntax (e.g. use 'oo' for infinity, ensure variables match)."
except Exception as e:
return f"An unexpected error occurred: {e}"
limit_interface = gr.Interface(
fn=calculate_limit,
inputs=[
gr.Textbox(label="Expression (e.g., sin(x)/x, x**2, exp(-x))", value="sin(x)/x"),
gr.Textbox(label="Variable (e.g., x)", value="x"),
gr.Textbox(label="Point (e.g., 0, 1, oo, -oo, pi)", value="0"),
gr.Radio(choices=["+-", "+", "-"], label="Direction", value="+-")
],
outputs="text",
title="Limit Calculator",
description="Calculate the limit of an expression.\n\n**Description:**\nThis tool calculates the limit of a mathematical expression as a variable approaches a point. Use 'oo' for infinity. Ensure the variable in the expression matches the variable input.\n\n**Examples:**\n- Expression: sin(x)/x, Variable: x, Point: 0, Direction: '+-' → Output: 1\n- Expression: 1/x, Variable: x, Point: 0, Direction: '+' → Output: oo\n- Expression: exp(-x), Variable: x, Point: oo, Direction: '+-' → Output: 0",
examples=[["sin(x)/x", "x", "0", "+-"], ["1/x", "x", "0", "+"], ["exp(-x)", "x", "oo", "+-"]],
)
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