| // Copyright (c) 2013 The Chromium Authors. All rights reserved. |
| // Use of this source code is governed by a BSD-style license that can be |
| // found in the LICENSE file. |
| |
| #include <cmath> |
| #include <limits> |
| |
| #include "testing/gtest/include/gtest/gtest.h" |
| #include "ui/gfx/geometry/matrix3_f.h" |
| |
| namespace gfx { |
| namespace { |
| |
| TEST(Matrix3fTest, Constructors) { |
| Matrix3F zeros = Matrix3F::Zeros(); |
| Matrix3F ones = Matrix3F::Ones(); |
| Matrix3F identity = Matrix3F::Identity(); |
| |
| Matrix3F product_ones = Matrix3F::FromOuterProduct( |
| Vector3dF(1.0f, 1.0f, 1.0f), Vector3dF(1.0f, 1.0f, 1.0f)); |
| Matrix3F product_zeros = Matrix3F::FromOuterProduct( |
| Vector3dF(1.0f, 1.0f, 1.0f), Vector3dF(0.0f, 0.0f, 0.0f)); |
| EXPECT_EQ(ones, product_ones); |
| EXPECT_EQ(zeros, product_zeros); |
| |
| for (int i = 0; i < 3; ++i) { |
| for (int j = 0; j < 3; ++j) |
| EXPECT_EQ(i == j ? 1.0f : 0.0f, identity.get(i, j)); |
| } |
| } |
| |
| TEST(Matrix3fTest, DataAccess) { |
| Matrix3F matrix = Matrix3F::Ones(); |
| Matrix3F identity = Matrix3F::Identity(); |
| |
| EXPECT_EQ(Vector3dF(0.0f, 1.0f, 0.0f), identity.get_column(1)); |
| EXPECT_EQ(Vector3dF(0.0f, 1.0f, 0.0f), identity.get_row(1)); |
| matrix.set(0.0f, 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f); |
| EXPECT_EQ(Vector3dF(2.0f, 5.0f, 8.0f), matrix.get_column(2)); |
| EXPECT_EQ(Vector3dF(6.0f, 7.0f, 8.0f), matrix.get_row(2)); |
| matrix.set_column(0, Vector3dF(0.1f, 0.2f, 0.3f)); |
| matrix.set_column(0, Vector3dF(0.1f, 0.2f, 0.3f)); |
| EXPECT_EQ(Vector3dF(0.1f, 0.2f, 0.3f), matrix.get_column(0)); |
| EXPECT_EQ(Vector3dF(0.1f, 1.0f, 2.0f), matrix.get_row(0)); |
| |
| EXPECT_EQ(0.1f, matrix.get(0, 0)); |
| EXPECT_EQ(5.0f, matrix.get(1, 2)); |
| } |
| |
| TEST(Matrix3fTest, Determinant) { |
| EXPECT_EQ(1.0f, Matrix3F::Identity().Determinant()); |
| EXPECT_EQ(0.0f, Matrix3F::Zeros().Determinant()); |
| EXPECT_EQ(0.0f, Matrix3F::Ones().Determinant()); |
| |
| // Now for something non-trivial... |
| Matrix3F matrix = Matrix3F::Zeros(); |
| matrix.set(0, 5, 6, 8, 7, 0, 1, 9, 0); |
| EXPECT_EQ(390.0f, matrix.Determinant()); |
| matrix.set(2, 0, 3 * matrix.get(0, 0)); |
| matrix.set(2, 1, 3 * matrix.get(0, 1)); |
| matrix.set(2, 2, 3 * matrix.get(0, 2)); |
| EXPECT_EQ(0, matrix.Determinant()); |
| |
| matrix.set(0.57f, 0.205f, 0.942f, |
| 0.314f, 0.845f, 0.826f, |
| 0.131f, 0.025f, 0.962f); |
| EXPECT_NEAR(0.3149f, matrix.Determinant(), 0.0001f); |
| } |
| |
| TEST(Matrix3fTest, Inverse) { |
| Matrix3F identity = Matrix3F::Identity(); |
| Matrix3F inv_identity = identity.Inverse(); |
| EXPECT_EQ(identity, inv_identity); |
| |
| Matrix3F singular = Matrix3F::Zeros(); |
| singular.set(1.0f, 3.0f, 4.0f, |
| 2.0f, 11.0f, 5.0f, |
| 0.5f, 1.5f, 2.0f); |
| EXPECT_EQ(0, singular.Determinant()); |
| EXPECT_EQ(Matrix3F::Zeros(), singular.Inverse()); |
| |
| Matrix3F regular = Matrix3F::Zeros(); |
| regular.set(0.57f, 0.205f, 0.942f, |
| 0.314f, 0.845f, 0.826f, |
| 0.131f, 0.025f, 0.962f); |
| Matrix3F inv_regular = regular.Inverse(); |
| regular.set(2.51540616f, -0.55138018f, -1.98968043f, |
| -0.61552266f, 1.34920184f, -0.55573636f, |
| -0.32653861f, 0.04002158f, 1.32488726f); |
| EXPECT_TRUE(regular.IsNear(inv_regular, 0.00001f)); |
| } |
| |
| TEST(Matrix3fTest, Transpose) { |
| Matrix3F matrix = Matrix3F::Zeros(); |
| |
| matrix.set(0.0f, 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f); |
| |
| Matrix3F transpose = matrix.Transpose(); |
| EXPECT_EQ(Vector3dF(0.0f, 1.0f, 2.0f), transpose.get_column(0)); |
| EXPECT_EQ(Vector3dF(3.0f, 4.0f, 5.0f), transpose.get_column(1)); |
| EXPECT_EQ(Vector3dF(6.0f, 7.0f, 8.0f), transpose.get_column(2)); |
| |
| EXPECT_TRUE(matrix.IsEqual(transpose.Transpose())); |
| } |
| |
| TEST(Matrix3fTest, Operators) { |
| Matrix3F matrix1 = Matrix3F::Zeros(); |
| matrix1.set(1, 2, 3, 4, 5, 6, 7, 8, 9); |
| EXPECT_EQ(matrix1 + Matrix3F::Zeros(), matrix1); |
| |
| Matrix3F matrix2 = Matrix3F::Zeros(); |
| matrix2.set(-1, -2, -3, -4, -5, -6, -7, -8, -9); |
| EXPECT_EQ(matrix1 + matrix2, Matrix3F::Zeros()); |
| |
| EXPECT_EQ(Matrix3F::Zeros() - matrix1, matrix2); |
| |
| Matrix3F result = Matrix3F::Zeros(); |
| result.set(2, 4, 6, 8, 10, 12, 14, 16, 18); |
| EXPECT_EQ(matrix1 - matrix2, result); |
| result.set(-2, -4, -6, -8, -10, -12, -14, -16, -18); |
| EXPECT_EQ(matrix2 - matrix1, result); |
| } |
| |
| } // namespace |
| } // namespace gfx |