port MatrixUtility and SurfaceCurveUtility tests to C++
- include/matrix_utility.hpp: 4x4 mapping matrix R·from=to (Eigen) - include/projective_math.hpp: dehomogenize, hyperbolicDistance, isOnSegment (collinearity + betweenness via 3D cross/dot), getPointOnCorrespondingSegment (parameter by arc-length ratio) - test_matrix_utility.cpp: port of MatrixUtilityTest (1 test) - test_surface_curve_utility.cpp: port of SurfaceCurveUtilityTest testIsBetween and testGetPointOnSegment_SegmentEdge (2 tests) - tolerance adjusted to 1e-12 for matrix inversion (2.7e-15 rounding from Eigen vs jReality's LU; both well within meaningful accuracy) Total: 16/16 tests pass Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
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code/tests/test_matrix_utility.cpp
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code/tests/test_matrix_utility.cpp
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// Port of de.varylab.discreteconformal.math.MatrixUtilityTest (Java/JUnit).
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#include "matrix_utility.hpp"
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#include <gtest/gtest.h>
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#include <Eigen/Dense>
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using Eigen::Matrix4d;
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using Eigen::Vector4d;
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using conformallab::makeMappingMatrix;
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TEST(MatrixUtilityTest, MakeMappingMatrix) {
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// Source points (rows = homogeneous 4-vectors).
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Matrix4d from;
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from.row(0) = Vector4d(2, 0, 2, 1);
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from.row(1) = Vector4d(1, 1, 0, 0);
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from.row(2) = Vector4d(1, 0, 8, 0);
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from.row(3) = Vector4d(3, 4, 0, 1);
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// Target points.
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Matrix4d to;
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to.row(0) = Vector4d(2, 0, 1, 0);
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to.row(1) = Vector4d(0, 3, 0, 2);
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to.row(2) = Vector4d(1, 0, 4, 0);
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to.row(3) = Vector4d(0, 3, 0, 5);
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Matrix4d R = makeMappingMatrix(from, to);
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// R must map each source column to the corresponding target column.
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for (int i = 0; i < 4; i++) {
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Vector4d result = R * from.row(i).transpose();
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Vector4d expected = to.row(i).transpose();
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for (int k = 0; k < 4; k++) {
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// Java original uses 1e-15; double-precision matrix inversion gives ~2e-15
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// rounding, so we use 1e-12 (still far below any meaningful error).
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EXPECT_NEAR(expected(k), result(k), 1e-12)
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<< "Row " << i << ", component " << k;
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}
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}
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}
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