import pytest

from matrixmania.compute import project_ortho, project_perspective


def test_project_ortho_default():
    """Projektionsfunktion ohne Skalierung"""
    point = (1.0, 2.0, 3.0)
    assert project_ortho(point) == (1.0, 2.0)


def test_project_perspective_default():
    """Test project_perspective with default scale and focal_length=1"""
    # Arrange
    point = (1.0, 2.0, 3.0)
    # Act
    result = project_perspective(point)
    # depth = z + camera_distance = 3 + 4 = 7
    # Expected x = 1 * 1 / 7 * 1 = 1/7
    # Expected y = 2 * 1 / 7 * 1 = 2/7
    expected = (1/7, 2/7)
    # Assert
    assert result == pytest.approx(expected)


def test_project_perspective_scaled():
    """Test project_perspective with scale=100 and focal_length=2"""
    # Arrange
    point = (1.0, 2.0, 3.0)
    scale = 100
    focal_length = 2
    # Act
    result = project_perspective(point, focal_length=focal_length, scale=scale)
    # depth = 3 + 4 = 7
    # Expected x = 1 * 2 / 7 * 100 = 200/7
    # Expected y = 2 * 2 / 7 * 100 = 400/7
    expected = (200/7, 400/7)
    # Assert
    assert result == pytest.approx(expected)

    """Projektionsfunktion mit Skalierung"""
    point = (1.0, 2.0, 3.0)
    assert project_ortho(point, scale=100) == (100.0, 200.0)