matrix3_unittest.cc 4.1 KB

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  1. // Copyright (c) 2013 The Chromium Authors. All rights reserved.
  2. // Use of this source code is governed by a BSD-style license that can be
  3. // found in the LICENSE file.
  4. #include <cmath>
  5. #include <limits>
  6. #include "testing/gtest/include/gtest/gtest.h"
  7. #include "ui/gfx/geometry/matrix3_f.h"
  8. namespace gfx {
  9. namespace {
  10. TEST(Matrix3fTest, Constructors) {
  11. Matrix3F zeros = Matrix3F::Zeros();
  12. Matrix3F ones = Matrix3F::Ones();
  13. Matrix3F identity = Matrix3F::Identity();
  14. Matrix3F product_ones = Matrix3F::FromOuterProduct(
  15. Vector3dF(1.0f, 1.0f, 1.0f), Vector3dF(1.0f, 1.0f, 1.0f));
  16. Matrix3F product_zeros = Matrix3F::FromOuterProduct(
  17. Vector3dF(1.0f, 1.0f, 1.0f), Vector3dF(0.0f, 0.0f, 0.0f));
  18. EXPECT_EQ(ones, product_ones);
  19. EXPECT_EQ(zeros, product_zeros);
  20. for (int i = 0; i < 3; ++i) {
  21. for (int j = 0; j < 3; ++j)
  22. EXPECT_EQ(i == j ? 1.0f : 0.0f, identity.get(i, j));
  23. }
  24. }
  25. TEST(Matrix3fTest, DataAccess) {
  26. Matrix3F matrix = Matrix3F::Ones();
  27. Matrix3F identity = Matrix3F::Identity();
  28. EXPECT_EQ(Vector3dF(0.0f, 1.0f, 0.0f), identity.get_column(1));
  29. EXPECT_EQ(Vector3dF(0.0f, 1.0f, 0.0f), identity.get_row(1));
  30. matrix.set(0.0f, 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f);
  31. EXPECT_EQ(Vector3dF(2.0f, 5.0f, 8.0f), matrix.get_column(2));
  32. EXPECT_EQ(Vector3dF(6.0f, 7.0f, 8.0f), matrix.get_row(2));
  33. matrix.set_column(0, Vector3dF(0.1f, 0.2f, 0.3f));
  34. matrix.set_column(0, Vector3dF(0.1f, 0.2f, 0.3f));
  35. EXPECT_EQ(Vector3dF(0.1f, 0.2f, 0.3f), matrix.get_column(0));
  36. EXPECT_EQ(Vector3dF(0.1f, 1.0f, 2.0f), matrix.get_row(0));
  37. EXPECT_EQ(0.1f, matrix.get(0, 0));
  38. EXPECT_EQ(5.0f, matrix.get(1, 2));
  39. }
  40. TEST(Matrix3fTest, Determinant) {
  41. EXPECT_EQ(1.0f, Matrix3F::Identity().Determinant());
  42. EXPECT_EQ(0.0f, Matrix3F::Zeros().Determinant());
  43. EXPECT_EQ(0.0f, Matrix3F::Ones().Determinant());
  44. // Now for something non-trivial...
  45. Matrix3F matrix = Matrix3F::Zeros();
  46. matrix.set(0, 5, 6, 8, 7, 0, 1, 9, 0);
  47. EXPECT_EQ(390.0f, matrix.Determinant());
  48. matrix.set(2, 0, 3 * matrix.get(0, 0));
  49. matrix.set(2, 1, 3 * matrix.get(0, 1));
  50. matrix.set(2, 2, 3 * matrix.get(0, 2));
  51. EXPECT_EQ(0, matrix.Determinant());
  52. matrix.set(0.57f, 0.205f, 0.942f,
  53. 0.314f, 0.845f, 0.826f,
  54. 0.131f, 0.025f, 0.962f);
  55. EXPECT_NEAR(0.3149f, matrix.Determinant(), 0.0001f);
  56. }
  57. TEST(Matrix3fTest, Inverse) {
  58. Matrix3F identity = Matrix3F::Identity();
  59. Matrix3F inv_identity = identity.Inverse();
  60. EXPECT_EQ(identity, inv_identity);
  61. Matrix3F singular = Matrix3F::Zeros();
  62. singular.set(1.0f, 3.0f, 4.0f,
  63. 2.0f, 11.0f, 5.0f,
  64. 0.5f, 1.5f, 2.0f);
  65. EXPECT_EQ(0, singular.Determinant());
  66. EXPECT_EQ(Matrix3F::Zeros(), singular.Inverse());
  67. Matrix3F regular = Matrix3F::Zeros();
  68. regular.set(0.57f, 0.205f, 0.942f,
  69. 0.314f, 0.845f, 0.826f,
  70. 0.131f, 0.025f, 0.962f);
  71. Matrix3F inv_regular = regular.Inverse();
  72. regular.set(2.51540616f, -0.55138018f, -1.98968043f,
  73. -0.61552266f, 1.34920184f, -0.55573636f,
  74. -0.32653861f, 0.04002158f, 1.32488726f);
  75. EXPECT_TRUE(regular.IsNear(inv_regular, 0.00001f));
  76. }
  77. TEST(Matrix3fTest, Transpose) {
  78. Matrix3F matrix = Matrix3F::Zeros();
  79. matrix.set(0.0f, 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f);
  80. Matrix3F transpose = matrix.Transpose();
  81. EXPECT_EQ(Vector3dF(0.0f, 1.0f, 2.0f), transpose.get_column(0));
  82. EXPECT_EQ(Vector3dF(3.0f, 4.0f, 5.0f), transpose.get_column(1));
  83. EXPECT_EQ(Vector3dF(6.0f, 7.0f, 8.0f), transpose.get_column(2));
  84. EXPECT_TRUE(matrix.IsEqual(transpose.Transpose()));
  85. }
  86. TEST(Matrix3fTest, Operators) {
  87. Matrix3F matrix1 = Matrix3F::Zeros();
  88. matrix1.set(1, 2, 3, 4, 5, 6, 7, 8, 9);
  89. EXPECT_EQ(matrix1 + Matrix3F::Zeros(), matrix1);
  90. Matrix3F matrix2 = Matrix3F::Zeros();
  91. matrix2.set(-1, -2, -3, -4, -5, -6, -7, -8, -9);
  92. EXPECT_EQ(matrix1 + matrix2, Matrix3F::Zeros());
  93. EXPECT_EQ(Matrix3F::Zeros() - matrix1, matrix2);
  94. Matrix3F result = Matrix3F::Zeros();
  95. result.set(2, 4, 6, 8, 10, 12, 14, 16, 18);
  96. EXPECT_EQ(matrix1 - matrix2, result);
  97. result.set(-2, -4, -6, -8, -10, -12, -14, -16, -18);
  98. EXPECT_EQ(matrix2 - matrix1, result);
  99. }
  100. } // namespace
  101. } // namespace gfx