maths/equations/solve_poly.py

import numpy as np
import gradio as gr

def solve_polynomial(coeffs):
    """
    Find roots of a polynomial with given coefficients.
    coeffs: list or array-like, highest degree first (e.g., [a, b, c, d, ...])
    Returns a numpy array of roots (complex or real).
    """
    if not coeffs or all(c == 0 for c in coeffs):
        raise ValueError("Coefficient list must not be empty or all zeros.")
    return np.roots(coeffs)

def polynomial_solver_interface(coeffs):
    """
    Gradio wrapper for solving higher order polynomials.
    coeffs: comma-separated string of coefficients, highest degree first.
    """
    import numpy as np
    try:
        coeff_list = [float(c) for c in coeffs.split(",") if c.strip() != ""]
        if not coeff_list:
            return "Please enter at least one coefficient."
        roots = solve_polynomial(coeff_list)
        output = f"Polynomial coefficients: {coeff_list}\n\n"
        for i, root in enumerate(roots):
            if np.isreal(root):
                output += f"Root {i+1}: {root.real}\n"
            else:
                output += f"Root {i+1}: {root}\n"
        return output
    except Exception as e:
        return f"Error: {e}"

poly_solver_interface = gr.Interface(
    fn=polynomial_solver_interface,
    inputs=gr.Textbox(label="Coefficients (comma-separated, highest degree first)", placeholder="e.g. 1, 0, -2, -8"),
    outputs="text",
    title="Polynomial Equation Solver",
    description="""
Find roots of any polynomial equation. Enter the coefficients separated by commas, starting with the highest degree.

Example: For x⁴ - 2x² - 8 = 0, enter: 1, 0, -2, 0, -8

Supports real and complex roots for polynomials of any degree.
""",
    examples=[
        ["1, 0, -2, 0, -8"],
        ["2, -3, 0, 1"],
        ["1, -6, 11, -6"]
    ]
)