From 53d203dea8230da4e80f3cc61468a4e24ff6759c Mon Sep 17 00:00:00 2001 From: Brecht Van Lommel Date: Fri, 7 Aug 2020 16:43:42 +0200 Subject: Tests: move remaining gtests into their own module folders And make them part of the blender_test runner. The one exception is blenlib performance tests, which we don't want to run by default. They remain in their own executable. Differential Revision: https://developer.blender.org/D8498 --- .../blender/blenlib/tests/BLI_math_matrix_test.cc | 99 ++++++++++++++++++++++ 1 file changed, 99 insertions(+) create mode 100644 source/blender/blenlib/tests/BLI_math_matrix_test.cc (limited to 'source/blender/blenlib/tests/BLI_math_matrix_test.cc') diff --git a/source/blender/blenlib/tests/BLI_math_matrix_test.cc b/source/blender/blenlib/tests/BLI_math_matrix_test.cc new file mode 100644 index 00000000000..9c47c02ceaf --- /dev/null +++ b/source/blender/blenlib/tests/BLI_math_matrix_test.cc @@ -0,0 +1,99 @@ +/* Apache License, Version 2.0 */ + +#include "testing/testing.h" + +#include "BLI_math_matrix.h" + +TEST(math_matrix, interp_m4_m4m4_regular) +{ + /* Test 4x4 matrix interpolation without singularity, i.e. without axis flip. */ + + /* Transposed matrix, so that the code here is written in the same way as print_m4() outputs. */ + /* This matrix represents T=(0.1, 0.2, 0.3), R=(40, 50, 60) degrees, S=(0.7, 0.8, 0.9) */ + float matrix_a[4][4] = { + {0.224976f, -0.333770f, 0.765074f, 0.100000f}, + {0.389669f, 0.647565f, 0.168130f, 0.200000f}, + {-0.536231f, 0.330541f, 0.443163f, 0.300000f}, + {0.000000f, 0.000000f, 0.000000f, 1.000000f}, + }; + transpose_m4(matrix_a); + + float matrix_i[4][4]; + unit_m4(matrix_i); + + float result[4][4]; + const float epsilon = 1e-6; + interp_m4_m4m4(result, matrix_i, matrix_a, 0.0f); + EXPECT_M4_NEAR(result, matrix_i, epsilon); + + interp_m4_m4m4(result, matrix_i, matrix_a, 1.0f); + EXPECT_M4_NEAR(result, matrix_a, epsilon); + + /* This matrix is based on the current implementation of the code, and isn't guaranteed to be + * correct. It's just consistent with the current implementation. */ + float matrix_halfway[4][4] = { + {0.690643f, -0.253244f, 0.484996f, 0.050000f}, + {0.271924f, 0.852623f, 0.012348f, 0.100000f}, + {-0.414209f, 0.137484f, 0.816778f, 0.150000f}, + {0.000000f, 0.000000f, 0.000000f, 1.000000f}, + }; + + transpose_m4(matrix_halfway); + interp_m4_m4m4(result, matrix_i, matrix_a, 0.5f); + EXPECT_M4_NEAR(result, matrix_halfway, epsilon); +} + +TEST(math_matrix, interp_m3_m3m3_singularity) +{ + /* A singluarity means that there is an axis mirror in the rotation component of the matrix. This + * is reflected in its negative determinant. + * + * The interpolation of 4x4 matrices performs linear interpolation on the translation component, + * and then uses the 3x3 interpolation function to handle rotation and scale. As a result, this + * test for a singularity in the rotation matrix only needs to test the 3x3 case. */ + + /* Transposed matrix, so that the code here is written in the same way as print_m4() outputs. */ + /* This matrix represents R=(4, 5, 6) degrees, S=(-1, 1, 1) */ + float matrix_a[3][3] = { + {-0.990737f, -0.098227f, 0.093759f}, + {-0.104131f, 0.992735f, -0.060286f}, + {0.087156f, 0.069491f, 0.993768f}, + }; + transpose_m3(matrix_a); + EXPECT_NEAR(-1.0f, determinant_m3_array(matrix_a), 1e-6); + + /* This matrix represents R=(0, 0, 0), S=(-1, 0, 0) */ + float matrix_b[3][3] = { + {-1.0f, 0.0f, 0.0f}, + {0.0f, 1.0f, 0.0f}, + {0.0f, 0.0f, 1.0f}, + }; + transpose_m3(matrix_b); + + float result[3][3]; + interp_m3_m3m3(result, matrix_a, matrix_b, 0.0f); + EXPECT_M3_NEAR(result, matrix_a, 1e-5); + + interp_m3_m3m3(result, matrix_a, matrix_b, 1.0f); + EXPECT_M3_NEAR(result, matrix_b, 1e-5); + + interp_m3_m3m3(result, matrix_a, matrix_b, 0.5f); + float expect[3][3] = { + {-0.997681f, -0.049995f, 0.046186f}, + {-0.051473f, 0.998181f, -0.031385f}, + {0.044533f, 0.033689f, 0.998440f}, + }; + transpose_m3(expect); + EXPECT_M3_NEAR(result, expect, 1e-5); + + /* Interpolating between a matrix with and without axis flip can cause it to go through a zero + * point. The determinant det(A) of a matrix represents the change in volume; interpolating + * between matrices with det(A)=-1 and det(B)=1 will have to go through a point where + * det(result)=0, so where the volume becomes zero. */ + float matrix_i[3][3]; + unit_m3(matrix_i); + zero_m3(expect); + interp_m3_m3m3(result, matrix_a, matrix_i, 0.5f); + EXPECT_NEAR(0.0f, determinant_m3_array(result), 1e-5); + EXPECT_M3_NEAR(result, expect, 1e-5); +} -- cgit v1.2.3