maths/equations/solve_simultaneous.py

import gradio as gr
import numpy as np

def solve_simultaneous_interface(coeffs, constants):
    """
    coeffs: Multiline string, each line is comma-separated coefficients for one equation.
    constants: Comma-separated string of constants (right-hand side values).
    """
    try:
        coeff_lines = [line.strip() for line in coeffs.strip().splitlines() if line.strip()]
        matrix = [list(map(float, line.split(','))) for line in coeff_lines]
        A = np.array(matrix)
        b = np.array([float(x) for x in constants.strip().split(',')])
        if A.shape[0] != A.shape[1]:
            return f"Number of equations and unknowns must match (got {A.shape[0]} equations, {A.shape[1]} unknowns)."
        if b.shape[0] != A.shape[0]:
            return f"Number of constants must match number of equations."
        solution = np.linalg.solve(A, b)
        output = ""
        for idx, val in enumerate(solution):
            output += f"Variable {idx+1}: {val}\n"
        return output
    except Exception as e:
        return f"Error: {e}"

simultaneous_solver_interface = gr.Interface(
    fn=solve_simultaneous_interface,
    inputs=[
        gr.Textbox(lines=4, label="Coefficients (one equation per line, comma-separated)", placeholder="e.g.\n1,2\n3,4"),
        gr.Textbox(label="Constants (comma-separated)", placeholder="e.g. 5, 6")
    ],
    outputs="text",
    title="Simultaneous Linear Equation Solver",
    description="""
Solve systems of simultaneous linear equations. Enter the coefficients for each equation (one per line, comma-separated) and the constants (right-hand side values).\n\nExample: For the system\n\n  x + 2y = 5\n  3x + 4y = 6\n\nEnter coefficients:\n1,2\n3,4\n\nEnter constants:\n5,6
""",
    examples=[
        ["1,2\n3,4", "5,6"],
        ["2,1\n1,3", "8,13"],
        ["1,1,1\n2,3,4\n1,2,3", "6,20,14"]
    ]
)