from typing import Any

import numpy as np
from jaxtyping import Float, Num, jaxtyped
from typeguard import typechecked

from app._typing import NDArray


@jaxtyped(typechecker=typechecked)
def calculate_perpendicular_distance(
    point: Num[NDArray, "2"],
    line: Num[NDArray, "2 2"],
) -> np.floating[Any]:
    """
    Calculate the perpendicular distance between a point and a line.
    """
    line_start, line_end = line
    distance = np.linalg.norm(
        np.cross(line_end - line_start, line_start - point)
    ) / np.linalg.norm(line_end - line_start)

    return distance