import pytest

from matrixmania import project_ortho, project_perspective


def test_project_ortho_without_scale() -> None:
    """Orthogonal projection ignores z when scale is omitted."""
    # Arrange
    point = (1.0, 2.0, 3.0)

    # Act
    result = project_ortho(point)

    # Assert
    assert result == (1.0, 2.0)


def test_project_ortho_with_scale() -> None:
    """Orthogonal projection scales x and y and ignores z."""
    # 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_with_defaults() -> None:
    """Perspective projection uses the default focal length and distance."""
    # Arrange
    point = (1.0, 2.0, 3.0)

    # Act
    result = project_perspective(point)

    # Assert
    assert result == pytest.approx((1 / 7, 2 / 7))


def test_project_perspective_with_scale_and_focal_length() -> None:
    """Perspective projection applies scale and focal length."""
    # Arrange
    point = (1.0, 2.0, 3.0)

    # Act
    result = project_perspective(point, scale=100, focal_length=2)

    # Assert
    assert result == pytest.approx((200 / 7, 400 / 7))


def test_project_perspective_with_custom_camera_distance() -> None:
    """Perspective projection uses the supplied camera distance."""
    # Arrange
    point = (2.0, 4.0, 2.0)
    camera_distance = 6.0

    # Act
    result = project_perspective(point, camera_distance=camera_distance)

    # Assert
    assert result == pytest.approx((0.25, 0.5))