| /* |
| * Copyright 2013 The Android Open Source Project |
| * |
| * Licensed under the Apache License, Version 2.0 (the "License"); |
| * you may not use this file except in compliance with the License. |
| * You may obtain a copy of the License at |
| * |
| * http://www.apache.org/licenses/LICENSE-2.0 |
| * |
| * Unless required by applicable law or agreed to in writing, software |
| * distributed under the License is distributed on an "AS IS" BASIS, |
| * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| * See the License for the specific language governing permissions and |
| * limitations under the License. |
| */ |
| |
| #define LOG_TAG "MatTest" |
| |
| #include <stdlib.h> |
| |
| #include <limits> |
| #include <random> |
| #include <functional> |
| |
| #include <gtest/gtest.h> |
| |
| #include <math/mat2.h> |
| #include <math/mat4.h> |
| |
| namespace android { |
| |
| class MatTest : public testing::Test { |
| protected: |
| }; |
| |
| TEST_F(MatTest, Basics) { |
| mat4 m0; |
| EXPECT_EQ(sizeof(m0), sizeof(float)*16); |
| } |
| |
| TEST_F(MatTest, ComparisonOps) { |
| mat4 m0; |
| mat4 m1(2); |
| |
| EXPECT_TRUE(m0 == m0); |
| EXPECT_TRUE(m0 != m1); |
| EXPECT_FALSE(m0 != m0); |
| EXPECT_FALSE(m0 == m1); |
| } |
| |
| TEST_F(MatTest, Constructors) { |
| mat4 m0; |
| ASSERT_EQ(m0[0].x, 1); |
| ASSERT_EQ(m0[0].y, 0); |
| ASSERT_EQ(m0[0].z, 0); |
| ASSERT_EQ(m0[0].w, 0); |
| ASSERT_EQ(m0[1].x, 0); |
| ASSERT_EQ(m0[1].y, 1); |
| ASSERT_EQ(m0[1].z, 0); |
| ASSERT_EQ(m0[1].w, 0); |
| ASSERT_EQ(m0[2].x, 0); |
| ASSERT_EQ(m0[2].y, 0); |
| ASSERT_EQ(m0[2].z, 1); |
| ASSERT_EQ(m0[2].w, 0); |
| ASSERT_EQ(m0[3].x, 0); |
| ASSERT_EQ(m0[3].y, 0); |
| ASSERT_EQ(m0[3].z, 0); |
| ASSERT_EQ(m0[3].w, 1); |
| |
| mat4 m1(2); |
| mat4 m2(vec4(2)); |
| mat4 m3(m2); |
| |
| EXPECT_EQ(m1, m2); |
| EXPECT_EQ(m2, m3); |
| EXPECT_EQ(m3, m1); |
| |
| mat4 m4(vec4(1), vec4(2), vec4(3), vec4(4)); |
| EXPECT_NE(m4, m1); |
| } |
| |
| TEST_F(MatTest, ArithmeticOps) { |
| mat4 m0; |
| mat4 m1(2); |
| mat4 m2(vec4(2)); |
| |
| m1 += m2; |
| EXPECT_EQ(mat4(4), m1); |
| |
| m2 -= m1; |
| EXPECT_EQ(mat4(-2), m2); |
| |
| m1 *= 2; |
| EXPECT_EQ(mat4(8), m1); |
| |
| m1 /= 2; |
| EXPECT_EQ(mat4(4), m1); |
| |
| m0 = -m0; |
| EXPECT_EQ(mat4(-1), m0); |
| } |
| |
| TEST_F(MatTest, UnaryOps) { |
| const mat4 identity; |
| mat4 m0; |
| |
| m0 = -m0; |
| EXPECT_EQ(mat4(vec4(-1, 0, 0, 0), |
| vec4(0, -1, 0, 0), |
| vec4(0, 0, -1, 0), |
| vec4(0, 0, 0, -1)), m0); |
| |
| m0 = -m0; |
| EXPECT_EQ(identity, m0); |
| } |
| |
| TEST_F(MatTest, MiscOps) { |
| const mat4 identity; |
| mat4 m0; |
| EXPECT_EQ(4, trace(m0)); |
| |
| mat4 m1(vec4(1, 2, 3, 4), vec4(5, 6, 7, 8), vec4(9, 10, 11, 12), vec4(13, 14, 15, 16)); |
| mat4 m2(vec4(1, 5, 9, 13), vec4(2, 6, 10, 14), vec4(3, 7, 11, 15), vec4(4, 8, 12, 16)); |
| EXPECT_EQ(m1, transpose(m2)); |
| EXPECT_EQ(m2, transpose(m1)); |
| EXPECT_EQ(vec4(1, 6, 11, 16), diag(m1)); |
| |
| EXPECT_EQ(identity, inverse(identity)); |
| |
| mat4 m3(vec4(4, 3, 0, 0), vec4(3, 2, 0, 0), vec4(0, 0, 1, 0), vec4(0, 0, 0, 1)); |
| mat4 m3i(inverse(m3)); |
| EXPECT_FLOAT_EQ(-2, m3i[0][0]); |
| EXPECT_FLOAT_EQ(3, m3i[0][1]); |
| EXPECT_FLOAT_EQ(3, m3i[1][0]); |
| EXPECT_FLOAT_EQ(-4, m3i[1][1]); |
| |
| mat4 m3ii(inverse(m3i)); |
| EXPECT_FLOAT_EQ(m3[0][0], m3ii[0][0]); |
| EXPECT_FLOAT_EQ(m3[0][1], m3ii[0][1]); |
| EXPECT_FLOAT_EQ(m3[1][0], m3ii[1][0]); |
| EXPECT_FLOAT_EQ(m3[1][1], m3ii[1][1]); |
| |
| EXPECT_EQ(m1, m1*identity); |
| |
| |
| for (size_t c=0 ; c<4 ; c++) { |
| for (size_t r=0 ; r<4 ; r++) { |
| EXPECT_FLOAT_EQ(m1[c][r], m1(r, c)); |
| } |
| } |
| } |
| |
| TEST_F(MatTest, ElementAccess) { |
| mat4 m(vec4(1, 2, 3, 4), vec4(5, 6, 7, 8), vec4(9, 10, 11, 12), vec4(13, 14, 15, 16)); |
| for (size_t c=0 ; c<4 ; c++) { |
| for (size_t r=0 ; r<4 ; r++) { |
| EXPECT_FLOAT_EQ(m[c][r], m(r, c)); |
| } |
| } |
| |
| m(3,2) = 100; |
| EXPECT_FLOAT_EQ(m[2][3], 100); |
| EXPECT_FLOAT_EQ(m(3, 2), 100); |
| } |
| |
| //------------------------------------------------------------------------------ |
| // MAT 3 |
| //------------------------------------------------------------------------------ |
| |
| class Mat3Test : public testing::Test { |
| protected: |
| }; |
| |
| TEST_F(Mat3Test, Basics) { |
| mat3 m0; |
| EXPECT_EQ(sizeof(m0), sizeof(float)*9); |
| } |
| |
| TEST_F(Mat3Test, ComparisonOps) { |
| mat3 m0; |
| mat3 m1(2); |
| |
| EXPECT_TRUE(m0 == m0); |
| EXPECT_TRUE(m0 != m1); |
| EXPECT_FALSE(m0 != m0); |
| EXPECT_FALSE(m0 == m1); |
| } |
| |
| TEST_F(Mat3Test, Constructors) { |
| mat3 m0; |
| ASSERT_EQ(m0[0].x, 1); |
| ASSERT_EQ(m0[0].y, 0); |
| ASSERT_EQ(m0[0].z, 0); |
| ASSERT_EQ(m0[1].x, 0); |
| ASSERT_EQ(m0[1].y, 1); |
| ASSERT_EQ(m0[1].z, 0); |
| ASSERT_EQ(m0[2].x, 0); |
| ASSERT_EQ(m0[2].y, 0); |
| ASSERT_EQ(m0[2].z, 1); |
| |
| mat3 m1(2); |
| mat3 m2(vec3(2)); |
| mat3 m3(m2); |
| |
| EXPECT_EQ(m1, m2); |
| EXPECT_EQ(m2, m3); |
| EXPECT_EQ(m3, m1); |
| } |
| |
| TEST_F(Mat3Test, ArithmeticOps) { |
| mat3 m0; |
| mat3 m1(2); |
| mat3 m2(vec3(2)); |
| |
| m1 += m2; |
| EXPECT_EQ(mat3(4), m1); |
| |
| m2 -= m1; |
| EXPECT_EQ(mat3(-2), m2); |
| |
| m1 *= 2; |
| EXPECT_EQ(mat3(8), m1); |
| |
| m1 /= 2; |
| EXPECT_EQ(mat3(4), m1); |
| |
| m0 = -m0; |
| EXPECT_EQ(mat3(-1), m0); |
| } |
| |
| TEST_F(Mat3Test, UnaryOps) { |
| const mat3 identity; |
| mat3 m0; |
| |
| m0 = -m0; |
| EXPECT_EQ(mat3(vec3(-1, 0, 0), |
| vec3(0, -1, 0), |
| vec3(0, 0, -1)), m0); |
| |
| m0 = -m0; |
| EXPECT_EQ(identity, m0); |
| } |
| |
| TEST_F(Mat3Test, MiscOps) { |
| const mat3 identity; |
| mat3 m0; |
| EXPECT_EQ(3, trace(m0)); |
| |
| mat3 m1(vec3(1, 2, 3), vec3(4, 5, 6), vec3(7, 8, 9)); |
| mat3 m2(vec3(1, 4, 7), vec3(2, 5, 8), vec3(3, 6, 9)); |
| EXPECT_EQ(m1, transpose(m2)); |
| EXPECT_EQ(m2, transpose(m1)); |
| EXPECT_EQ(vec3(1, 5, 9), diag(m1)); |
| |
| EXPECT_EQ(identity, inverse(identity)); |
| |
| mat3 m3(vec3(4, 3, 0), vec3(3, 2, 0), vec3(0, 0, 1)); |
| mat3 m3i(inverse(m3)); |
| EXPECT_FLOAT_EQ(-2, m3i[0][0]); |
| EXPECT_FLOAT_EQ(3, m3i[0][1]); |
| EXPECT_FLOAT_EQ(3, m3i[1][0]); |
| EXPECT_FLOAT_EQ(-4, m3i[1][1]); |
| |
| mat3 m3ii(inverse(m3i)); |
| EXPECT_FLOAT_EQ(m3[0][0], m3ii[0][0]); |
| EXPECT_FLOAT_EQ(m3[0][1], m3ii[0][1]); |
| EXPECT_FLOAT_EQ(m3[1][0], m3ii[1][0]); |
| EXPECT_FLOAT_EQ(m3[1][1], m3ii[1][1]); |
| |
| EXPECT_EQ(m1, m1*identity); |
| } |
| |
| //------------------------------------------------------------------------------ |
| // MAT 2 |
| //------------------------------------------------------------------------------ |
| |
| class Mat2Test : public testing::Test { |
| protected: |
| }; |
| |
| TEST_F(Mat2Test, Basics) { |
| mat2 m0; |
| EXPECT_EQ(sizeof(m0), sizeof(float)*4); |
| } |
| |
| TEST_F(Mat2Test, ComparisonOps) { |
| mat2 m0; |
| mat2 m1(2); |
| |
| EXPECT_TRUE(m0 == m0); |
| EXPECT_TRUE(m0 != m1); |
| EXPECT_FALSE(m0 != m0); |
| EXPECT_FALSE(m0 == m1); |
| } |
| |
| TEST_F(Mat2Test, Constructors) { |
| mat2 m0; |
| ASSERT_EQ(m0[0].x, 1); |
| ASSERT_EQ(m0[0].y, 0); |
| ASSERT_EQ(m0[1].x, 0); |
| ASSERT_EQ(m0[1].y, 1); |
| |
| mat2 m1(2); |
| mat2 m2(vec2(2)); |
| mat2 m3(m2); |
| |
| EXPECT_EQ(m1, m2); |
| EXPECT_EQ(m2, m3); |
| EXPECT_EQ(m3, m1); |
| } |
| |
| TEST_F(Mat2Test, ArithmeticOps) { |
| mat2 m0; |
| mat2 m1(2); |
| mat2 m2(vec2(2)); |
| |
| m1 += m2; |
| EXPECT_EQ(mat2(4), m1); |
| |
| m2 -= m1; |
| EXPECT_EQ(mat2(-2), m2); |
| |
| m1 *= 2; |
| EXPECT_EQ(mat2(8), m1); |
| |
| m1 /= 2; |
| EXPECT_EQ(mat2(4), m1); |
| |
| m0 = -m0; |
| EXPECT_EQ(mat2(-1), m0); |
| } |
| |
| TEST_F(Mat2Test, UnaryOps) { |
| const mat2 identity; |
| mat2 m0; |
| |
| m0 = -m0; |
| EXPECT_EQ(mat2(vec2(-1, 0), |
| vec2(0, -1)), m0); |
| |
| m0 = -m0; |
| EXPECT_EQ(identity, m0); |
| } |
| |
| TEST_F(Mat2Test, MiscOps) { |
| const mat2 identity; |
| mat2 m0; |
| EXPECT_EQ(2, trace(m0)); |
| |
| mat2 m1(vec2(1, 2), vec2(3, 4)); |
| mat2 m2(vec2(1, 3), vec2(2, 4)); |
| EXPECT_EQ(m1, transpose(m2)); |
| EXPECT_EQ(m2, transpose(m1)); |
| EXPECT_EQ(vec2(1, 4), diag(m1)); |
| |
| EXPECT_EQ(identity, inverse(identity)); |
| |
| EXPECT_EQ(m1, m1*identity); |
| } |
| |
| //------------------------------------------------------------------------------ |
| // MORE MATRIX TESTS |
| //------------------------------------------------------------------------------ |
| |
| template <typename T> |
| class MatTestT : public ::testing::Test { |
| public: |
| }; |
| |
| typedef ::testing::Types<float,float> TestMatrixValueTypes; |
| |
| TYPED_TEST_CASE(MatTestT, TestMatrixValueTypes); |
| |
| #define TEST_MATRIX_INVERSE(MATRIX, EPSILON) \ |
| { \ |
| typedef decltype(MATRIX) MatrixType; \ |
| MatrixType inv1 = inverse(MATRIX); \ |
| MatrixType ident1 = MATRIX * inv1; \ |
| static const MatrixType IDENTITY; \ |
| for (size_t row = 0; row < MatrixType::ROW_SIZE; ++row) { \ |
| for (size_t col = 0; col < MatrixType::COL_SIZE; ++col) { \ |
| EXPECT_NEAR(ident1[row][col], IDENTITY[row][col], EPSILON); \ |
| } \ |
| } \ |
| } |
| |
| TYPED_TEST(MatTestT, Inverse4) { |
| typedef ::android::details::TMat44<TypeParam> M44T; |
| |
| M44T m1(1, 0, 0, 0, |
| 0, 1, 0, 0, |
| 0, 0, 1, 0, |
| 0, 0, 0, 1); |
| |
| M44T m2(0, -1, 0, 0, |
| 1, 0, 0, 0, |
| 0, 0, 1, 0, |
| 0, 0, 0, 1); |
| |
| M44T m3(1, 0, 0, 0, |
| 0, 2, 0, 0, |
| 0, 0, 0, 1, |
| 0, 0, -1, 0); |
| |
| M44T m4( |
| 4.683281e-01, 1.251189e-02, -8.834660e-01, -4.726541e+00, |
| -8.749647e-01, 1.456563e-01, -4.617587e-01, 3.044795e+00, |
| 1.229049e-01, 9.892561e-01, 7.916244e-02, -6.737138e+00, |
| 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.000000e+00); |
| |
| M44T m5( |
| 4.683281e-01, 1.251189e-02, -8.834660e-01, -4.726541e+00, |
| -8.749647e-01, 1.456563e-01, -4.617587e-01, 3.044795e+00, |
| 1.229049e-01, 9.892561e-01, 7.916244e-02, -6.737138e+00, |
| 1.000000e+00, 2.000000e+00, 3.000000e+00, 4.000000e+00); |
| |
| TEST_MATRIX_INVERSE(m1, 0); |
| TEST_MATRIX_INVERSE(m2, 0); |
| TEST_MATRIX_INVERSE(m3, 0); |
| TEST_MATRIX_INVERSE(m4, 20.0 * std::numeric_limits<TypeParam>::epsilon()); |
| TEST_MATRIX_INVERSE(m5, 20.0 * std::numeric_limits<TypeParam>::epsilon()); |
| } |
| |
| //------------------------------------------------------------------------------ |
| TYPED_TEST(MatTestT, Inverse3) { |
| typedef ::android::details::TMat33<TypeParam> M33T; |
| |
| M33T m1(1, 0, 0, |
| 0, 1, 0, |
| 0, 0, 1); |
| |
| M33T m2(0, -1, 0, |
| 1, 0, 0, |
| 0, 0, 1); |
| |
| M33T m3(2, 0, 0, |
| 0, 0, 1, |
| 0, -1, 0); |
| |
| M33T m4( |
| 4.683281e-01, 1.251189e-02, 0.000000e+00, |
| -8.749647e-01, 1.456563e-01, 0.000000e+00, |
| 0.000000e+00, 0.000000e+00, 1.000000e+00); |
| |
| M33T m5( |
| 4.683281e-01, 1.251189e-02, -8.834660e-01, |
| -8.749647e-01, 1.456563e-01, -4.617587e-01, |
| 1.229049e-01, 9.892561e-01, 7.916244e-02); |
| |
| TEST_MATRIX_INVERSE(m1, 0); |
| TEST_MATRIX_INVERSE(m2, 0); |
| TEST_MATRIX_INVERSE(m3, 0); |
| TEST_MATRIX_INVERSE(m4, 20.0 * std::numeric_limits<TypeParam>::epsilon()); |
| TEST_MATRIX_INVERSE(m5, 20.0 * std::numeric_limits<TypeParam>::epsilon()); |
| } |
| |
| //------------------------------------------------------------------------------ |
| TYPED_TEST(MatTestT, Inverse2) { |
| typedef ::android::details::TMat22<TypeParam> M22T; |
| |
| M22T m1(1, 0, |
| 0, 1); |
| |
| M22T m2(0, -1, |
| 1, 0); |
| |
| M22T m3( |
| 4.683281e-01, 1.251189e-02, |
| -8.749647e-01, 1.456563e-01); |
| |
| M22T m4( |
| 4.683281e-01, 1.251189e-02, |
| -8.749647e-01, 1.456563e-01); |
| |
| TEST_MATRIX_INVERSE(m1, 0); |
| TEST_MATRIX_INVERSE(m2, 0); |
| TEST_MATRIX_INVERSE(m3, 20.0 * std::numeric_limits<TypeParam>::epsilon()); |
| TEST_MATRIX_INVERSE(m4, 20.0 * std::numeric_limits<TypeParam>::epsilon()); |
| } |
| |
| //------------------------------------------------------------------------------ |
| // A macro to help with vector comparisons within floating point range. |
| #define EXPECT_VEC_EQ(VEC1, VEC2) \ |
| do { \ |
| const decltype(VEC1) v1 = VEC1; \ |
| const decltype(VEC2) v2 = VEC2; \ |
| if (std::is_same<TypeParam,float>::value) { \ |
| for (size_t i = 0; i < v1.size(); ++i) { \ |
| EXPECT_FLOAT_EQ(v1[i], v2[i]); \ |
| } \ |
| } else if (std::is_same<TypeParam,double>::value) { \ |
| for (size_t i = 0; i < v1.size(); ++i) { \ |
| EXPECT_DOUBLE_EQ(v1[i], v2[i]); \ |
| } \ |
| } else { \ |
| for (size_t i = 0; i < v1.size(); ++i) { \ |
| EXPECT_EQ(v1[i], v2[i]); \ |
| } \ |
| } \ |
| } while(0) |
| |
| //------------------------------------------------------------------------------ |
| // A macro to help with type comparisons within floating point range. |
| #define ASSERT_TYPE_EQ(T1, T2) \ |
| do { \ |
| const decltype(T1) t1 = T1; \ |
| const decltype(T2) t2 = T2; \ |
| if (std::is_same<TypeParam,float>::value) { \ |
| ASSERT_FLOAT_EQ(t1, t2); \ |
| } else if (std::is_same<TypeParam,double>::value) { \ |
| ASSERT_DOUBLE_EQ(t1, t2); \ |
| } else { \ |
| ASSERT_EQ(t1, t2); \ |
| } \ |
| } while(0) |
| |
| //------------------------------------------------------------------------------ |
| // Test some translation stuff. |
| TYPED_TEST(MatTestT, Translation4) { |
| typedef ::android::details::TMat44<TypeParam> M44T; |
| typedef ::android::details::TVec4<TypeParam> V4T; |
| |
| V4T translateBy(-7.3, 1.1, 14.4, 0.0); |
| V4T translation(translateBy[0], translateBy[1], translateBy[2], 1.0); |
| M44T translation_matrix = M44T::translate(translation); |
| |
| V4T p1(9.9, 3.1, 41.1, 1.0); |
| V4T p2(-18.0, 0.0, 1.77, 1.0); |
| V4T p3(0, 0, 0, 1); |
| V4T p4(-1000, -1000, 1000, 1.0); |
| |
| EXPECT_VEC_EQ(translation_matrix * p1, translateBy + p1); |
| EXPECT_VEC_EQ(translation_matrix * p2, translateBy + p2); |
| EXPECT_VEC_EQ(translation_matrix * p3, translateBy + p3); |
| EXPECT_VEC_EQ(translation_matrix * p4, translateBy + p4); |
| } |
| |
| //------------------------------------------------------------------------------ |
| template <typename MATRIX> |
| static void verifyOrthonormal(const MATRIX& A) { |
| typedef typename MATRIX::value_type T; |
| |
| static constexpr T value_eps = T(100) * std::numeric_limits<T>::epsilon(); |
| |
| const MATRIX prod = A * transpose(A); |
| for (size_t i = 0; i < MATRIX::NUM_COLS; ++i) { |
| for (size_t j = 0; j < MATRIX::NUM_ROWS; ++j) { |
| if (i == j) { |
| ASSERT_NEAR(prod[i][j], T(1), value_eps); |
| } else { |
| ASSERT_NEAR(prod[i][j], T(0), value_eps); |
| } |
| } |
| } |
| } |
| |
| //------------------------------------------------------------------------------ |
| // Test euler code. |
| TYPED_TEST(MatTestT, EulerZYX_44) { |
| typedef ::android::details::TMat44<TypeParam> M44T; |
| |
| std::default_random_engine generator(82828); |
| std::uniform_real_distribution<float> distribution(-6.0 * 2.0*M_PI, 6.0 * 2.0*M_PI); |
| auto rand_gen = std::bind(distribution, generator); |
| |
| for (size_t i = 0; i < 100; ++i) { |
| M44T m = M44T::eulerZYX(rand_gen(), rand_gen(), rand_gen()); |
| verifyOrthonormal(m); |
| } |
| |
| M44T m = M44T::eulerZYX(1, 2, 3); |
| verifyOrthonormal(m); |
| } |
| |
| //------------------------------------------------------------------------------ |
| // Test euler code. |
| TYPED_TEST(MatTestT, EulerZYX_33) { |
| |
| typedef ::android::details::TMat33<TypeParam> M33T; |
| |
| std::default_random_engine generator(112233); |
| std::uniform_real_distribution<float> distribution(-6.0 * 2.0*M_PI, 6.0 * 2.0*M_PI); |
| auto rand_gen = std::bind(distribution, generator); |
| |
| for (size_t i = 0; i < 100; ++i) { |
| M33T m = M33T::eulerZYX(rand_gen(), rand_gen(), rand_gen()); |
| verifyOrthonormal(m); |
| } |
| |
| M33T m = M33T::eulerZYX(1, 2, 3); |
| verifyOrthonormal(m); |
| } |
| |
| //------------------------------------------------------------------------------ |
| // Test to quaternion with post translation. |
| TYPED_TEST(MatTestT, ToQuaternionPostTranslation) { |
| |
| typedef ::android::details::TMat44<TypeParam> M44T; |
| typedef ::android::details::TVec4<TypeParam> V4T; |
| typedef ::android::details::TQuaternion<TypeParam> QuatT; |
| |
| std::default_random_engine generator(112233); |
| std::uniform_real_distribution<float> distribution(-6.0 * 2.0*M_PI, 6.0 * 2.0*M_PI); |
| auto rand_gen = std::bind(distribution, generator); |
| |
| for (size_t i = 0; i < 100; ++i) { |
| M44T r = M44T::eulerZYX(rand_gen(), rand_gen(), rand_gen()); |
| M44T t = M44T::translate(V4T(rand_gen(), rand_gen(), rand_gen(), 1)); |
| QuatT qr = r.toQuaternion(); |
| M44T tr = t * r; |
| QuatT qtr = tr.toQuaternion(); |
| |
| ASSERT_TYPE_EQ(qr.x, qtr.x); |
| ASSERT_TYPE_EQ(qr.y, qtr.y); |
| ASSERT_TYPE_EQ(qr.z, qtr.z); |
| ASSERT_TYPE_EQ(qr.w, qtr.w); |
| } |
| |
| M44T r = M44T::eulerZYX(1, 2, 3); |
| M44T t = M44T::translate(V4T(20, -15, 2, 1)); |
| QuatT qr = r.toQuaternion(); |
| M44T tr = t * r; |
| QuatT qtr = tr.toQuaternion(); |
| |
| ASSERT_TYPE_EQ(qr.x, qtr.x); |
| ASSERT_TYPE_EQ(qr.y, qtr.y); |
| ASSERT_TYPE_EQ(qr.z, qtr.z); |
| ASSERT_TYPE_EQ(qr.w, qtr.w); |
| } |
| |
| //------------------------------------------------------------------------------ |
| // Test to quaternion with post translation. |
| TYPED_TEST(MatTestT, ToQuaternionPointTransformation33) { |
| static constexpr TypeParam value_eps = |
| TypeParam(1000) * std::numeric_limits<TypeParam>::epsilon(); |
| |
| typedef ::android::details::TMat33<TypeParam> M33T; |
| typedef ::android::details::TVec3<TypeParam> V3T; |
| typedef ::android::details::TQuaternion<TypeParam> QuatT; |
| |
| std::default_random_engine generator(112233); |
| std::uniform_real_distribution<float> distribution(-100.0, 100.0); |
| auto rand_gen = std::bind(distribution, generator); |
| |
| for (size_t i = 0; i < 100; ++i) { |
| M33T r = M33T::eulerZYX(rand_gen(), rand_gen(), rand_gen()); |
| QuatT qr = r.toQuaternion(); |
| V3T p(rand_gen(), rand_gen(), rand_gen()); |
| |
| V3T pr = r * p; |
| V3T pq = qr * p; |
| |
| ASSERT_NEAR(pr.x, pq.x, value_eps); |
| ASSERT_NEAR(pr.y, pq.y, value_eps); |
| ASSERT_NEAR(pr.z, pq.z, value_eps); |
| } |
| } |
| |
| //------------------------------------------------------------------------------ |
| // Test to quaternion with post translation. |
| TYPED_TEST(MatTestT, ToQuaternionPointTransformation44) { |
| static constexpr TypeParam value_eps = |
| TypeParam(1000) * std::numeric_limits<TypeParam>::epsilon(); |
| |
| typedef ::android::details::TMat44<TypeParam> M44T; |
| typedef ::android::details::TVec4<TypeParam> V4T; |
| typedef ::android::details::TVec3<TypeParam> V3T; |
| typedef ::android::details::TQuaternion<TypeParam> QuatT; |
| |
| std::default_random_engine generator(992626); |
| std::uniform_real_distribution<float> distribution(-100.0, 100.0); |
| auto rand_gen = std::bind(distribution, generator); |
| |
| for (size_t i = 0; i < 100; ++i) { |
| M44T r = M44T::eulerZYX(rand_gen(), rand_gen(), rand_gen()); |
| QuatT qr = r.toQuaternion(); |
| V3T p(rand_gen(), rand_gen(), rand_gen()); |
| |
| V4T pr = r * V4T(p.x, p.y, p.z, 1); |
| pr.x /= pr.w; |
| pr.y /= pr.w; |
| pr.z /= pr.w; |
| V3T pq = qr * p; |
| |
| ASSERT_NEAR(pr.x, pq.x, value_eps); |
| ASSERT_NEAR(pr.y, pq.y, value_eps); |
| ASSERT_NEAR(pr.z, pq.z, value_eps); |
| } |
| } |
| |
| #undef TEST_MATRIX_INVERSE |
| |
| }; // namespace android |
