7 commit hausaufgabe

src/matrixmania/compute.py

@@ -233,3 +233,16 @@ if __name__ == "__main__":
     print(rot_2D(theta))
     print(rot_2D(1.0))
 
+def project_perspective(point: tuple[float, float, float],
+                        focal_length: float = 1.0,
+                        scale: float = 1.0,
+                        camera_distance: float = 4.0) -> tuple[float, float]:
+    """Projiziert einen 3D-Punkt perspektivisch auf eine 2D-Ebene."""
+    x, y, z = point
+    depth = z + camera_distance
+    if depth == 0:
+        raise ValueError("z + camera_distance darf nicht 0 sein.")
+    x_2d = x * focal_length / depth * scale
+    y_2d = y * focal_length / depth * scale
+    return (x_2d, y_2d)
+

test/test_matrixmania/test_projection.py

@@ -1,6 +1,6 @@
 import pytest
 
-from matrixmania.compute import project_ortho
+from matrixmania.compute import project_ortho, project_perspective
 
 
 def test_project_ortho_default():
@@ -9,7 +9,35 @@ def test_project_ortho_default():
     assert project_ortho(point) == (1.0, 2.0)
 
 
-def test_project_ortho_scaled():
+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)