"""
Compute the determinant of a matrix using NumPy.
"""
import numpy as np
from typing import List, Union
import gradio as gr

from maths.matrices.utils import parse_matrix, format_output

Matrix = Union[List[List[float]], np.ndarray]

def matrix_determinant(matrix: Matrix) -> float:
    m = np.array(matrix)
    if m.shape[0] != m.shape[1]:
        raise ValueError("Matrix must be square to compute determinant.")
    return np.linalg.det(m)

matrix_determinant_interface = gr.Interface(
    fn=lambda m_str: format_output(matrix_determinant(parse_matrix(m_str))),
    inputs=gr.Textbox(label="Matrix (must be square)", placeholder="e.g., [[1,2],[3,4]]"),
    outputs=gr.Textbox(label="Determinant"),
    title="Matrix Determinant",
    description="Calculates the determinant of a square matrix. Input can be JSON (e.g., [[1,2],[3,4]]) or CSV (e.g., 1,2;3,4). Example: Matrix: [[1,2],[3,4]] => Result: -2.0",
    examples=[
        ["[[1,2],[3,4]]"],
        ["1,2;3,4"]
    ]
)