"""Unit-Tests für Projektionen in compute.py."""

import math

from matrixmania.compute import project_ortho, project_perspective


def test_project_ortho_default_scale() -> None:
    """Testet die orthogonale Projektion mit Standard-Skalierungsfaktor."""
    # Arrange
    point = (1.0, 2.0, 3.0)

    # Act
    result = project_ortho(point)

    # Assert
    assert result == (1.0, 2.0)


def test_project_ortho_scaled() -> None:
    """Testet die orthogonale Projektion mit einem Skalierungsfaktor von 100."""
    # Arrange
    point = (1.0, 2.0, 3.0)
    scale = 100

    # Act
    result = project_ortho(point, scale=scale)

    # Assert
    assert result == (100.0, 200.0)


def test_project_perspective_scale_and_focal_length_one() -> None:
    """Testet die perspektivische Projektion mit scale=1 und focal_length=1."""
    # Arrange
    point = (1.0, 2.0, 3.0)
    scale = 1
    focal_length = 1

    # Act
    result = project_perspective(point, scale=scale, focal_length=focal_length)

    # Assert
    assert math.isclose(result[0], 13.0 / 3.0, abs_tol=1e-9)
    assert math.isclose(result[1], 14.0 / 3.0, abs_tol=1e-9)


def test_project_perspective_scale_100_focal_length_2() -> None:
    """Testet die perspektivische Projektion mit scale=100 und focal_length=2."""
    # Arrange
    point = (1.0, 2.0, 3.0)
    scale = 100
    focal_length = 2

    # Act
    result = project_perspective(point, scale=scale, focal_length=focal_length)

    # Assert
    assert math.isclose(result[0], 1400.0 / 3.0, abs_tol=1e-9)
    assert math.isclose(result[1], 1600.0 / 3.0, abs_tol=1e-9)