sixth commit: test added
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from .compute import matmul, transpose, rot_2D, rot_3D
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from .compute import matmul, transpose, rot_2D, rot_3D, project_ortho, project_perspective
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@@ -142,6 +142,26 @@ def rot_3D(angle: float, axis: str) -> list[list[float]]:
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[0, 0, 1],
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[0, 0, 1],
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]
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]
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def project_ortho(point: tuple[float, float, float], scale: float = 1) -> tuple[float, float]:
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"""Project a 3D point onto a 2D plane using orthogonal projection."""
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x, y, _z = point
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return (x * scale, y * scale)
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def project_perspective(point: tuple[float, float, float],
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focal_length: float = 1.0,
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scale: float = 1.0,
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camera_distance: float = 4.0) -> tuple[float, float]:
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"""Project a 3D point onto a 2D plane using perspective projection."""
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x, y ,z = point
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factor = focal_length / (z+camera_distance)
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x_2d = x * factor * scale
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y_2d = y * factor * scale
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return (x_2d, y_2d)
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if __name__ == "__main__":
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if __name__ == "__main__":
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import math
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import pytest
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from matrixmania import project_perspective
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def approx_equal(a: float, b: float, rel_tol: float = 1e-9) -> bool:
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"""Utility to compare two floats with a relative tolerance."""
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return math.isclose(a, b, rel_tol=rel_tol)
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@pytest.mark.parametrize(
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"point,focal_length,scale,expected",
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[
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# Case 1 – no scaling, unit focal length
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(
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(1.0, 2.0, 3.0),
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1.0, # focal_length
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1.0, # scale
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(
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1.0 / (4.0 + 3.0), # x projected
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2.0 / (4.0 + 3.0), # y projected
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),
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),
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# Case 2 – scale 100, focal length 2
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(
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(1.0, 2.0, 3.0),
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2.0, # focal_length
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100.0, # scale
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(
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2.0 * 100.0 / (4.0 + 3.0), # x projected
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2.0 * 100.0 * 2.0 / (4.0 + 3.0), # y projected
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),
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),
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],
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)
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def test_project_perspective(point, focal_length, scale, expected):
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"""Test that project_perspective returns the correct 2‑D projection."""
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# Call the function under test
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result = project_perspective(point, focal_length=focal_length, scale=scale)
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# Basic sanity checks
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assert isinstance(result, tuple), "Result should be a tuple"
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assert len(result) == 2, "Result should contain two coordinates"
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# Confirm values are close to expected (within tiny tolerance)
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assert approx_equal(result[0], expected[0]), f"X coordinate mismatch: {result[0]} != {expected[0]}"
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assert approx_equal(result[1], expected[1]), f"Y coordinate mismatch: {result[1]} != {expected[1]}"
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@@ -0,0 +1,21 @@
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from matrixmania import project_ortho
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def test_projection_point():
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#Arrange
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point = (1.0, 2.0, 3.0)
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expected_value = (1.0, 2.0)
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#Act
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result = project_ortho(point)
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#Assert
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assert result == expected_value
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def test_projection_scale():
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point = (1.0, 2.0, 3.0)
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scale = 100
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expected_value = (100.0, 200.0)
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result = project_ortho(point, scale)
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assert result == expected_value
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