| // |
| // Copyright 2015 The ANGLE Project Authors. All rights reserved. |
| // Use of this source code is governed by a BSD-style license that can be |
| // found in the LICENSE file. |
| // |
| // matrix_utils_unittests: |
| // Unit tests for the matrix utils. |
| // |
| |
| #include "matrix_utils.h" |
| |
| #include <gtest/gtest.h> |
| |
| using namespace angle; |
| |
| namespace |
| { |
| |
| struct RotateArgs |
| { |
| float angle; |
| Vector3 axis; |
| }; |
| |
| struct TranslateArgs |
| { |
| float x; |
| float y; |
| float z; |
| }; |
| |
| struct ScaleArgs |
| { |
| float x; |
| float y; |
| float z; |
| }; |
| |
| struct FrustumArgs |
| { |
| float l; |
| float r; |
| float b; |
| float t; |
| float n; |
| float f; |
| }; |
| |
| void CheckMat4ExactlyEq(const Matrix<float> &a, const Matrix<float> &b) |
| { |
| for (unsigned int i = 0; i < 4; i++) |
| { |
| for (unsigned int j = 0; i < 4; i++) |
| { |
| EXPECT_EQ(a.at(i, j), b.at(i, j)); |
| } |
| } |
| } |
| |
| // TODO(lfy): Spec out requirements for matrix precision |
| void CheckMatrixCloseToGolden(float *golden, const Mat4 &m) |
| { |
| const float floatFaultTolarance = 0.000001f; |
| const auto &checkElts = m.elements(); |
| for (size_t i = 0; i < checkElts.size(); i++) |
| { |
| EXPECT_NEAR(golden[i], checkElts[i], floatFaultTolarance); |
| } |
| } |
| |
| void CheckMatrixCloseToGolden(const std::vector<float> &golden, const Mat4 &m) |
| { |
| const float floatFaultTolarance = 0.000001f; |
| const auto &checkElts = m.elements(); |
| for (size_t i = 0; i < golden.size(); i++) |
| { |
| EXPECT_NEAR(golden[i], checkElts[i], floatFaultTolarance); |
| } |
| } |
| } // namespace |
| |
| namespace |
| { |
| |
| const unsigned int minDimensions = 2; |
| const unsigned int maxDimensions = 4; |
| |
| TEST(MatrixUtilsTest, MatrixConstructorTest) |
| { |
| for (unsigned int i = minDimensions; i <= maxDimensions; i++) |
| { |
| for (unsigned int j = minDimensions; j <= maxDimensions; j++) |
| { |
| unsigned int numElements = i * j; |
| Matrix<float> m(std::vector<float>(numElements, 1.0f), i, j); |
| EXPECT_EQ(m.rows(), i); |
| EXPECT_EQ(m.columns(), j); |
| EXPECT_EQ(m.elements(), std::vector<float>(numElements, 1.0f)); |
| } |
| } |
| |
| for (unsigned int i = minDimensions; i <= maxDimensions; i++) |
| { |
| unsigned int numElements = i * i; |
| Matrix<float> m(std::vector<float>(numElements, 1.0f), i); |
| EXPECT_EQ(m.size(), i); |
| EXPECT_EQ(m.columns(), m.columns()); |
| EXPECT_EQ(m.elements(), std::vector<float>(numElements, 1.0f)); |
| } |
| } |
| |
| TEST(MatrixUtilsTest, MatrixCompMultTest) |
| { |
| for (unsigned int i = minDimensions; i <= maxDimensions; i++) |
| { |
| unsigned int numElements = i * i; |
| Matrix<float> m1(std::vector<float>(numElements, 2.0f), i); |
| Matrix<float> actualResult = m1.compMult(m1); |
| std::vector<float> actualResultElements = actualResult.elements(); |
| std::vector<float> expectedResultElements(numElements, 4.0f); |
| EXPECT_EQ(expectedResultElements, actualResultElements); |
| } |
| } |
| |
| TEST(MatrixUtilsTest, MatrixOuterProductTest) |
| { |
| for (unsigned int i = minDimensions; i <= maxDimensions; i++) |
| { |
| for (unsigned int j = minDimensions; j <= maxDimensions; j++) |
| { |
| unsigned int numElements = i * j; |
| Matrix<float> m1(std::vector<float>(numElements, 2.0f), i, 1); |
| Matrix<float> m2(std::vector<float>(numElements, 2.0f), 1, j); |
| Matrix<float> actualResult = m1.outerProduct(m2); |
| EXPECT_EQ(actualResult.rows(), i); |
| EXPECT_EQ(actualResult.columns(), j); |
| std::vector<float> actualResultElements = actualResult.elements(); |
| std::vector<float> expectedResultElements(numElements, 4.0f); |
| EXPECT_EQ(expectedResultElements, actualResultElements); |
| } |
| } |
| } |
| |
| TEST(MatrixUtilsTest, MatrixTransposeTest) |
| { |
| for (unsigned int i = minDimensions; i <= maxDimensions; i++) |
| { |
| for (unsigned int j = minDimensions; j <= maxDimensions; j++) |
| { |
| unsigned int numElements = i * j; |
| Matrix<float> m1(std::vector<float>(numElements, 2.0f), i, j); |
| Matrix<float> expectedResult = |
| Matrix<float>(std::vector<float>(numElements, 2.0f), j, i); |
| Matrix<float> actualResult = m1.transpose(); |
| EXPECT_EQ(expectedResult.elements(), actualResult.elements()); |
| EXPECT_EQ(actualResult.rows(), expectedResult.rows()); |
| EXPECT_EQ(actualResult.columns(), expectedResult.columns()); |
| // transpose(transpose(A)) = A |
| Matrix<float> m2 = actualResult.transpose(); |
| EXPECT_EQ(m1.elements(), m2.elements()); |
| } |
| } |
| } |
| |
| TEST(MatrixUtilsTest, MatrixDeterminantTest) |
| { |
| for (unsigned int i = minDimensions; i <= maxDimensions; i++) |
| { |
| unsigned int numElements = i * i; |
| Matrix<float> m(std::vector<float>(numElements, 2.0f), i); |
| EXPECT_EQ(m.determinant(), 0.0f); |
| } |
| } |
| |
| TEST(MatrixUtilsTest, 2x2MatrixInverseTest) |
| { |
| float inputElements[] = {2.0f, 5.0f, 3.0f, 7.0f}; |
| unsigned int numElements = 4; |
| std::vector<float> input(inputElements, inputElements + numElements); |
| Matrix<float> inputMatrix(input, 2); |
| float identityElements[] = {1.0f, 0.0f, 0.0f, 1.0f}; |
| std::vector<float> identityMatrix(identityElements, identityElements + numElements); |
| // A * inverse(A) = I, where I is identity matrix. |
| Matrix<float> result = inputMatrix * inputMatrix.inverse(); |
| EXPECT_EQ(identityMatrix, result.elements()); |
| } |
| |
| TEST(MatrixUtilsTest, 3x3MatrixInverseTest) |
| { |
| float inputElements[] = {11.0f, 23.0f, 37.0f, 13.0f, 29.0f, 41.0f, 19.0f, 31.0f, 43.0f}; |
| unsigned int numElements = 9; |
| std::vector<float> input(inputElements, inputElements + numElements); |
| Matrix<float> inputMatrix(input, 3); |
| float identityElements[] = {1.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, 0.0f, 1.0f}; |
| std::vector<float> identityMatrix(identityElements, identityElements + numElements); |
| // A * inverse(A) = I, where I is identity matrix. |
| Matrix<float> result = inputMatrix * inputMatrix.inverse(); |
| std::vector<float> resultElements = result.elements(); |
| const float floatFaultTolarance = 0.000001f; |
| for (size_t i = 0; i < numElements; i++) |
| EXPECT_NEAR(resultElements[i], identityMatrix[i], floatFaultTolarance); |
| } |
| |
| TEST(MatrixUtilsTest, 4x4MatrixInverseTest) |
| { |
| float inputElements[] = {29.0f, 43.0f, 61.0f, 79.0f, 31.0f, 47.0f, 67.0f, 83.0f, |
| 37.0f, 53.0f, 71.0f, 89.0f, 41.0f, 59.0f, 73.0f, 97.0f}; |
| unsigned int numElements = 16; |
| std::vector<float> input(inputElements, inputElements + numElements); |
| Matrix<float> inputMatrix(input, 4); |
| float identityElements[] = { |
| 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, |
| 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, |
| }; |
| std::vector<float> identityMatrix(identityElements, identityElements + numElements); |
| // A * inverse(A) = I, where I is identity matrix. |
| Matrix<float> result = inputMatrix * inputMatrix.inverse(); |
| std::vector<float> resultElements = result.elements(); |
| const float floatFaultTolarance = 0.00001f; |
| for (unsigned int i = 0; i < numElements; i++) |
| EXPECT_NEAR(resultElements[i], identityMatrix[i], floatFaultTolarance); |
| } |
| |
| // Tests constructors for mat4; using raw float*, std::vector<float>, |
| // and Matrix<float>. |
| TEST(MatrixUtilsTest, Mat4Construction) |
| { |
| float elements[] = { |
| 0.0f, 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, |
| 8.0f, 9.0f, 10.0f, 11.0f, 12.0f, 13.0f, 14.0f, 15.0f, |
| }; |
| |
| std::vector<float> elementsVector(16, 0); |
| for (int i = 0; i < 16; i++) |
| { |
| elementsVector[i] = elements[i]; |
| } |
| |
| Matrix<float> a(elements, 4); |
| Mat4 b(elements); |
| Mat4 bVec(elementsVector); |
| |
| CheckMat4ExactlyEq(a, b); |
| CheckMat4ExactlyEq(b, bVec); |
| |
| a.setToIdentity(); |
| b = Mat4(); |
| |
| CheckMat4ExactlyEq(a, b); |
| |
| Mat4 c(0.0f, 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f, 9.0f, 10.0f, 11.0f, 12.0f, 13.0f, |
| 14.0f, 15.0f); |
| Mat4 d(elements); |
| Mat4 e(Matrix<float>(elements, 4)); |
| |
| CheckMat4ExactlyEq(c, d); |
| CheckMat4ExactlyEq(e, d); |
| } |
| |
| // Tests rotation matrices. |
| TEST(MatrixUtilsTest, Mat4Rotate) |
| { |
| // Sanity check. |
| float elementsExpected[] = { |
| 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, |
| 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, |
| }; |
| |
| std::vector<float> elementsExpectedVector(16, 0); |
| for (int i = 0; i < 16; i++) |
| { |
| elementsExpectedVector[i] = elementsExpected[i]; |
| } |
| |
| Mat4 r = Mat4::Rotate(0.f, Vector3(0.f, 0.f, 1.f)); |
| Mat4 golden(elementsExpected); |
| CheckMatrixCloseToGolden(elementsExpected, r); |
| CheckMatrixCloseToGolden(elementsExpectedVector, r); |
| CheckMat4ExactlyEq(r, golden); |
| |
| // Randomly-generated inputs, outputs using GLM. |
| std::vector<RotateArgs> rotationGoldenInputs; |
| std::vector<std::vector<float>> rotationGoldenOutputs; |
| rotationGoldenInputs.push_back( |
| {-123.2026214599609375f, |
| Vector3(1.4951171875000000f, 8.4370708465576172f, 1.8489227294921875f)}); |
| rotationGoldenInputs.push_back( |
| {-185.3049316406250000f, |
| Vector3(8.3313980102539062f, 5.8317651748657227f, -5.5201716423034668f)}); |
| rotationGoldenInputs.push_back( |
| {89.1301574707031250f, |
| Vector3(-8.5962724685668945f, 2.4547367095947266f, -3.2461600303649902f)}); |
| rotationGoldenInputs.push_back( |
| {64.2547302246093750f, |
| Vector3(-1.9640445709228516f, -9.6942234039306641f, 9.1921043395996094f)}); |
| rotationGoldenInputs.push_back( |
| {-298.5585021972656250f, |
| Vector3(-5.3600544929504395f, -6.4333534240722656f, -5.3734750747680664f)}); |
| rotationGoldenInputs.push_back( |
| {288.2606201171875000f, |
| Vector3(-2.3043875694274902f, -9.8447618484497070f, -0.9124794006347656f)}); |
| rotationGoldenInputs.push_back( |
| {142.3956298828125000f, |
| Vector3(-1.0044975280761719f, -2.5834980010986328f, -0.8451175689697266f)}); |
| rotationGoldenInputs.push_back( |
| {-140.0445861816406250f, |
| Vector3(-1.3710060119628906f, -2.5042991638183594f, -9.7572088241577148f)}); |
| rotationGoldenInputs.push_back( |
| {-338.5443420410156250f, |
| Vector3(6.8056621551513672f, 2.7508878707885742f, -5.8343429565429688f)}); |
| rotationGoldenInputs.push_back( |
| {79.0578613281250000f, |
| Vector3(9.0518493652343750f, -5.5615901947021484f, 6.3559799194335938f)}); |
| rotationGoldenInputs.push_back( |
| {4464.6367187500000000f, |
| Vector3(-53.9424285888671875f, -10.3614959716796875f, 54.3564453125000000f)}); |
| rotationGoldenInputs.push_back( |
| {-2820.6347656250000000f, |
| Vector3(62.1694793701171875f, 82.4977569580078125f, -60.0084800720214844f)}); |
| rotationGoldenInputs.push_back( |
| {3371.0527343750000000f, |
| Vector3(-74.5660324096679688f, -31.3026275634765625f, 96.7252349853515625f)}); |
| rotationGoldenInputs.push_back( |
| {5501.7167968750000000f, |
| Vector3(15.0308380126953125f, 23.2323913574218750f, 66.8295593261718750f)}); |
| rotationGoldenInputs.push_back( |
| {392.1757812500000000f, |
| Vector3(36.5722198486328125f, 69.2820892333984375f, 24.1789474487304688f)}); |
| rotationGoldenInputs.push_back( |
| {-2206.7138671875000000f, |
| Vector3(-91.5292282104492188f, 68.2716674804687500f, 42.0627288818359375f)}); |
| rotationGoldenInputs.push_back( |
| {-4648.8623046875000000f, |
| Vector3(50.7790374755859375f, 43.3964080810546875f, -36.3877525329589844f)}); |
| rotationGoldenInputs.push_back( |
| {2794.6015625000000000f, |
| Vector3(76.2934265136718750f, 63.4901885986328125f, 79.5993041992187500f)}); |
| rotationGoldenInputs.push_back( |
| {2294.6787109375000000f, |
| Vector3(-81.3662338256835938f, 77.6944580078125000f, 10.8423461914062500f)}); |
| rotationGoldenInputs.push_back( |
| {2451.0468750000000000f, |
| Vector3(-80.6299896240234375f, 51.8244628906250000f, 13.6877517700195312f)}); |
| rotationGoldenOutputs.push_back({ |
| -0.5025786161422729f, |
| 0.0775775760412216f, |
| 0.8610438108444214f, |
| 0.0000000000000000f, |
| 0.4305581450462341f, |
| 0.8861245512962341f, |
| 0.1714731603860855f, |
| 0.0000000000000000f, |
| -0.7496895790100098f, |
| 0.4569081664085388f, |
| -0.4787489175796509f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.0388860106468201f, |
| 0.6800884604454041f, |
| -0.7320981621742249f, |
| 0.0000000000000000f, |
| 0.7683026194572449f, |
| -0.4887983798980713f, |
| -0.4132642149925232f, |
| 0.0000000000000000f, |
| -0.6389046907424927f, |
| -0.5464027523994446f, |
| -0.5415209531784058f, |
| -0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.8196773529052734f, |
| -0.5709969997406006f, |
| 0.0457325875759125f, |
| 0.0000000000000000f, |
| 0.1115358471870422f, |
| 0.0807825028896332f, |
| -0.9904716014862061f, |
| 0.0000000000000000f, |
| 0.5618618726730347f, |
| 0.8169679641723633f, |
| 0.1299021989107132f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.4463376104831696f, |
| 0.6722379326820374f, |
| 0.5906597971916199f, |
| 0.0000000000000000f, |
| -0.5541059374809265f, |
| 0.7259115576744080f, |
| -0.4074544310569763f, |
| 0.0000000000000000f, |
| -0.7026730179786682f, |
| -0.1454258561134338f, |
| 0.6964926123619080f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.6295375227928162f, |
| -0.2925493717193604f, |
| 0.7197898030281067f, |
| 0.0000000000000000f, |
| 0.6561784744262695f, |
| 0.6962769031524658f, |
| -0.2909094095230103f, |
| 0.0000000000000000f, |
| -0.4160676598548889f, |
| 0.6554489731788635f, |
| 0.6302970647811890f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.3487194776535034f, |
| 0.2365041077136993f, |
| -0.9068960547447205f, |
| 0.0000000000000000f, |
| 0.0657925531268120f, |
| 0.9590729475021362f, |
| 0.2754095196723938f, |
| 0.0000000000000000f, |
| 0.9349150061607361f, |
| -0.1557076722383499f, |
| 0.3188872337341309f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| -0.5768983364105225f, |
| 0.3758956193923950f, |
| 0.7251832485198975f, |
| 0.0000000000000000f, |
| 0.7318079471588135f, |
| 0.6322251558303833f, |
| 0.2544573545455933f, |
| 0.0000000000000000f, |
| -0.3628296852111816f, |
| 0.6774909496307373f, |
| -0.6398130059242249f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| -0.7344170808792114f, |
| 0.6750319004058838f, |
| 0.0704519301652908f, |
| 0.0000000000000000f, |
| -0.5576634407043457f, |
| -0.6593509316444397f, |
| 0.5042498111724854f, |
| 0.0000000000000000f, |
| 0.3868372440338135f, |
| 0.3310411870479584f, |
| 0.8606789708137512f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.9672066569328308f, |
| -0.2128375321626663f, |
| -0.1386056393384933f, |
| 0.0000000000000000f, |
| 0.2423491925001144f, |
| 0.9366652965545654f, |
| 0.2528339624404907f, |
| 0.0000000000000000f, |
| 0.0760145336389542f, |
| -0.2781336307525635f, |
| 0.9575299024581909f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.6229416728019714f, |
| 0.2379529774188995f, |
| 0.7451993227005005f, |
| 0.0000000000000000f, |
| -0.7701886892318726f, |
| 0.3533243536949158f, |
| 0.5310096740722656f, |
| 0.0000000000000000f, |
| -0.1369417309761047f, |
| -0.9047321081161499f, |
| 0.4033691287040710f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.0691163539886475f, |
| 0.5770183801651001f, |
| -0.8138013482093811f, |
| 0.0000000000000000f, |
| -0.2371776401996613f, |
| -0.7828579545021057f, |
| -0.5752218365669250f, |
| -0.0000000000000000f, |
| -0.9690044522285461f, |
| 0.2327727228403091f, |
| 0.0827475786209106f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.6423799991607666f, |
| -0.2559574246406555f, |
| -0.7223805189132690f, |
| 0.0000000000000000f, |
| 0.6084498763084412f, |
| 0.7434381246566772f, |
| 0.2776480317115784f, |
| 0.0000000000000000f, |
| 0.4659791886806488f, |
| -0.6178879141807556f, |
| 0.6333070397377014f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| -0.0772442221641541f, |
| 0.8218145370483398f, |
| -0.5644945502281189f, |
| 0.0000000000000000f, |
| -0.3352625370025635f, |
| -0.5546256303787231f, |
| -0.7615703344345093f, |
| -0.0000000000000000f, |
| -0.9389528036117554f, |
| 0.1304270327091217f, |
| 0.3183652758598328f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| -0.1511210501194000f, |
| 0.9849811196327209f, |
| -0.0835132896900177f, |
| 0.0000000000000000f, |
| -0.8243820667266846f, |
| -0.0789582207798958f, |
| 0.5604994893074036f, |
| 0.0000000000000000f, |
| 0.5454874038696289f, |
| 0.1535501033067703f, |
| 0.8239331245422363f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.8769769668579102f, |
| 0.2149325907230377f, |
| -0.4297852218151093f, |
| 0.0000000000000000f, |
| -0.0991527736186981f, |
| 0.9560844898223877f, |
| 0.2758098840713501f, |
| 0.0000000000000000f, |
| 0.4701915681362152f, |
| -0.1992645263671875f, |
| 0.8597752451896667f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.8634905815124512f, |
| -0.3842780590057373f, |
| 0.3266716897487640f, |
| 0.0000000000000000f, |
| 0.1189628839492798f, |
| 0.7845909595489502f, |
| 0.6084939241409302f, |
| 0.0000000000000000f, |
| -0.4901345074176788f, |
| -0.4865669906139374f, |
| 0.7232017517089844f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.9201348423957825f, |
| -0.1924955844879150f, |
| -0.3410238325595856f, |
| 0.0000000000000000f, |
| 0.3022402822971344f, |
| 0.9028221964836121f, |
| 0.3058805167675018f, |
| 0.0000000000000000f, |
| 0.2490032464265823f, |
| -0.3845224678516388f, |
| 0.8888981342315674f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.4109522104263306f, |
| -0.3483857214450836f, |
| 0.8424642086029053f, |
| 0.0000000000000000f, |
| 0.8988372087478638f, |
| 0.3092637956142426f, |
| -0.3105604350566864f, |
| 0.0000000000000000f, |
| -0.1523487865924835f, |
| 0.8848635554313660f, |
| 0.4402346611022949f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.1795312762260437f, |
| -0.7746179103851318f, |
| -0.6064119935035706f, |
| 0.0000000000000000f, |
| -0.9110413789749146f, |
| 0.1016657948493958f, |
| -0.3995841145515442f, |
| 0.0000000000000000f, |
| 0.3711764216423035f, |
| 0.6242043375968933f, |
| -0.6874569058418274f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| rotationGoldenOutputs.push_back({ |
| 0.8035809993743896f, |
| -0.4176068902015686f, |
| 0.4241013824939728f, |
| 0.0000000000000000f, |
| -0.1537265181541443f, |
| 0.5427432060241699f, |
| 0.8257105946540833f, |
| 0.0000000000000000f, |
| -0.5750005841255188f, |
| -0.7287209630012512f, |
| 0.3719408810138702f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| EXPECT_EQ(rotationGoldenInputs.size(), rotationGoldenOutputs.size()); |
| |
| for (size_t i = 0; i < rotationGoldenInputs.size(); i++) |
| { |
| const auto &input = rotationGoldenInputs[i]; |
| const auto &output = rotationGoldenOutputs[i]; |
| Mat4 rot = Mat4::Rotate(input.angle, input.axis); |
| CheckMatrixCloseToGolden(output, rot); |
| } |
| } |
| |
| // Tests mat4 translation. |
| TEST(MatrixUtilsTest, Mat4Translate) |
| { |
| float elementsExpected[] = { |
| 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, |
| 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, |
| }; |
| |
| std::vector<float> elementsExpectedVector(16, 0); |
| for (int i = 0; i < 16; i++) |
| { |
| elementsExpectedVector[i] = elementsExpected[i]; |
| } |
| |
| Mat4 r = Mat4::Translate(Vector3(0.f, 0.f, 0.f)); |
| Mat4 golden(elementsExpected); |
| CheckMatrixCloseToGolden(elementsExpected, r); |
| CheckMatrixCloseToGolden(elementsExpectedVector, r); |
| CheckMat4ExactlyEq(r, golden); |
| |
| float elementsExpected1[] = { |
| 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, |
| 0.0f, 0.0f, 1.0f, 0.0f, 1.0f, 1.0f, 1.0f, 1.0f, |
| }; |
| |
| float elementsExpected2[] = { |
| 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, |
| 0.0f, 0.0f, 1.0f, 0.0f, 2.0f, 2.0f, 2.0f, 1.0f, |
| }; |
| |
| Mat4 golden1(elementsExpected1); |
| Mat4 golden2(elementsExpected2); |
| |
| Mat4 t1 = Mat4::Translate(Vector3(1.f, 1.f, 1.f)); |
| Mat4 t2 = Mat4::Translate(Vector3(2.f, 2.f, 2.f)); |
| Mat4 t1t1 = t1.product(t1); |
| |
| CheckMat4ExactlyEq(t1, golden1); |
| CheckMat4ExactlyEq(t2, golden2); |
| CheckMat4ExactlyEq(t1t1, golden2); |
| } |
| |
| // Tests scale for mat4. |
| TEST(MatrixUtilsTest, Mat4Scale) |
| { |
| |
| // Sanity check. |
| float elementsExpected[] = { |
| 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, |
| 0.0f, 0.0f, 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, |
| }; |
| |
| std::vector<float> elementsExpectedVector(16, 0); |
| for (int i = 0; i < 16; i++) |
| { |
| elementsExpectedVector[i] = elementsExpected[i]; |
| } |
| |
| Mat4 r = Mat4::Scale(Vector3(1.f, 1.f, 1.f)); |
| Mat4 golden(elementsExpected); |
| CheckMatrixCloseToGolden(elementsExpected, r); |
| CheckMatrixCloseToGolden(elementsExpectedVector, r); |
| CheckMat4ExactlyEq(r, golden); |
| |
| float elementsExpected2[] = { |
| 2.0f, 0.0f, 0.0f, 0.0f, 0.0f, 2.0f, 0.0f, 0.0f, |
| 0.0f, 0.0f, 2.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, |
| }; |
| |
| float elementsExpected4[] = { |
| 4.0f, 0.0f, 0.0f, 0.0f, 0.0f, 4.0f, 0.0f, 0.0f, |
| 0.0f, 0.0f, 4.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.0f, |
| }; |
| |
| Mat4 golden2(elementsExpected2); |
| Mat4 golden4(elementsExpected4); |
| |
| Mat4 t2 = Mat4::Scale(Vector3(2.f, 2.f, 2.f)); |
| Mat4 t2t2 = t2.product(t2); |
| |
| CheckMat4ExactlyEq(t2, golden2); |
| CheckMat4ExactlyEq(t2t2, golden4); |
| } |
| |
| // Tests frustum matrices. |
| TEST(MatrixUtilsTest, Mat4Frustum) |
| { |
| // Randomly-generated inputs, outputs using GLM. |
| std::vector<FrustumArgs> frustumGoldenInputs; |
| std::vector<std::vector<float>> frustumGoldenOutputs; |
| |
| EXPECT_EQ(frustumGoldenInputs.size(), frustumGoldenOutputs.size()); |
| |
| frustumGoldenInputs.push_back({6.5640869140625000f, 2.6196002960205078f, 7.6299438476562500f, |
| -3.5341463088989258f, 1.5971517562866211f, 3.3254327774047852f}); |
| frustumGoldenInputs.push_back({-9.4570913314819336f, -5.3334407806396484f, 0.8660326004028320f, |
| -4.5830192565917969f, -6.7980914115905762f, |
| 4.4744148254394531f}); |
| frustumGoldenInputs.push_back({1.4876422882080078f, 2.8094434738159180f, -1.6803054809570312f, |
| -0.8823823928833008f, 9.7977848052978516f, |
| -8.6204166412353516f}); |
| frustumGoldenInputs.push_back({-3.3456401824951172f, 9.8235015869140625f, 3.5869121551513672f, |
| 5.2356719970703125f, -4.0609388351440430f, 7.7973194122314453f}); |
| frustumGoldenInputs.push_back({9.5381393432617188f, 7.5244369506835938f, 3.2054557800292969f, |
| -5.9051651954650879f, -8.1114397048950195f, |
| -8.9626598358154297f}); |
| frustumGoldenInputs.push_back({4.5731735229492188f, 1.3278274536132812f, -3.2062773704528809f, |
| -7.9090023040771484f, -6.6076564788818359f, |
| 5.1205596923828125f}); |
| frustumGoldenInputs.push_back({1.2519702911376953f, 1.8767604827880859f, 2.7256736755371094f, |
| -9.6021852493286133f, -3.9267930984497070f, |
| 2.3794260025024414f}); |
| frustumGoldenInputs.push_back({-8.9887380599975586f, 6.2763042449951172f, 5.8243169784545898f, |
| 9.2890701293945312f, 1.3859443664550781f, -6.4422101974487305f}); |
| frustumGoldenInputs.push_back({5.7714862823486328f, 1.3688507080078125f, 6.2611656188964844f, |
| -8.5859031677246094f, -3.2825427055358887f, |
| -9.7015857696533203f}); |
| frustumGoldenInputs.push_back({5.4493808746337891f, 7.7383766174316406f, -1.1092796325683594f, |
| -3.6691951751708984f, -8.1641988754272461f, |
| 4.3122081756591797f}); |
| frustumGoldenInputs.push_back({-47.3135452270507812f, 1.1683349609375000f, 36.1483764648437500f, |
| -54.2228546142578125f, 76.4831085205078125f, |
| 51.5773468017578125f}); |
| frustumGoldenInputs.push_back({60.6750030517578125f, -35.2967681884765625f, |
| -32.8269577026367188f, 77.3887939453125000f, |
| 73.3114624023437500f, -54.2619438171386719f}); |
| frustumGoldenInputs.push_back({19.5157546997070312f, 1.3348083496093750f, 34.2350463867187500f, |
| -11.5907974243164062f, -6.4835968017578125f, |
| 30.2026824951171875f}); |
| frustumGoldenInputs.push_back({16.5014953613281250f, -59.4170761108398438f, |
| -22.8201065063476562f, 62.5094299316406250f, |
| -3.9552688598632812f, -76.2280197143554688f}); |
| frustumGoldenInputs.push_back({35.6607666015625000f, -49.5569000244140625f, |
| 97.1632690429687500f, 23.1938247680664062f, 18.6621780395507812f, |
| 55.2039489746093750f}); |
| frustumGoldenInputs.push_back({12.7565383911132812f, -0.8035964965820312f, 94.0040435791015625f, |
| -73.9960327148437500f, -51.3727264404296875f, |
| -21.3958053588867188f}); |
| frustumGoldenInputs.push_back({0.6055984497070312f, -21.7872161865234375f, 22.3246612548828125f, |
| 10.5279464721679688f, -56.8082237243652344f, |
| 24.1726150512695312f}); |
| frustumGoldenInputs.push_back({69.2176513671875000f, -59.0015220642089844f, |
| -38.5509605407714844f, 74.0315246582031250f, |
| 47.9032897949218750f, -89.4692459106445312f}); |
| frustumGoldenInputs.push_back({90.4153137207031250f, 10.0325012207031250f, 16.1712417602539062f, |
| -9.9705123901367188f, 25.6828689575195312f, |
| 51.8659057617187500f}); |
| frustumGoldenInputs.push_back({-89.5869369506835938f, -87.6541290283203125f, |
| -3.0015182495117188f, -46.5026855468750000f, |
| 29.3566131591796875f, -3.5230865478515625f}); |
| frustumGoldenOutputs.push_back({ |
| -0.8098147511482239f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.2861230373382568f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -2.3282337188720703f, |
| -0.3668724894523621f, |
| -2.8482546806335449f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -6.1462464332580566f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| -3.2971229553222656f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 2.4951465129852295f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -3.5867569446563721f, |
| 0.6821345686912537f, |
| 0.2061366289854050f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 5.3967552185058594f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 14.8248996734619141f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 24.5582180023193359f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 3.2509319782257080f, |
| -3.2116978168487549f, |
| 0.0639241635799408f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -9.1714696884155273f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| -0.6167355179786682f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -4.9260525703430176f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.4918970167636871f, |
| 5.3510427474975586f, |
| -0.3150867819786072f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 5.3404870033264160f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 8.0562448501586914f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.7806558609008789f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -8.4732360839843750f, |
| 0.2963255345821381f, |
| -20.0583839416503906f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 170.8137969970703125f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 4.0720810890197754f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 2.8101394176483154f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -1.8182963132858276f, |
| 2.3635828495025635f, |
| 0.1267964988946915f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 5.7698287963867188f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| -12.5699577331542969f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.6370600461959839f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 5.0076503753662109f, |
| 0.5578025579452515f, |
| 0.2453716099262238f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 2.9632694721221924f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 0.1815840899944305f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.8000248670578003f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.1776892393827438f, |
| 4.3620386123657227f, |
| -0.6459077596664429f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -2.2811365127563477f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 1.4911717176437378f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.4421805739402771f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -1.6218323707580566f, |
| 0.1565788835287094f, |
| -2.0227515697479248f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 9.9223108291625977f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| -7.1334328651428223f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 6.3784909248352051f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 5.7613725662231445f, |
| 1.8666533231735229f, |
| 0.3087419867515564f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 5.6435680389404297f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 3.1551213264465332f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -1.6926428079605103f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.9518032073974609f, |
| 0.2000025659799576f, |
| 5.1418004035949707f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 316.7777709960937500f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| -1.5277713537216187f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.3303264379501343f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.2644343674182892f, |
| 0.4043145775794983f, |
| 0.1493220180273056f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -62.3644447326660156f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 0.7132298350334167f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.2829668223857880f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -1.1468359231948853f, |
| -0.4941370785236359f, |
| -0.6465383172035217f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 10.6754913330078125f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 0.1041976660490036f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.0927057415246964f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.5652843713760376f, |
| 0.4651299417018890f, |
| -1.1094539165496826f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 8.3434572219848633f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| -0.4379884898662567f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.5045915246009827f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.1630663424730301f, |
| -1.6271190643310547f, |
| -2.0214161872863770f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -56.3862075805664062f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 7.5770230293273926f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.6115797758102417f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.8814766407012939f, |
| -0.1190952509641647f, |
| 2.4274852275848389f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -73.3338088989257812f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 5.0737905502319336f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 9.6311941146850586f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.9459113478660583f, |
| -2.7848947048187256f, |
| 0.4030041098594666f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 33.9142799377441406f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| -0.7472094297409058f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.8509900569915771f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.0796770751476288f, |
| 0.3151517212390900f, |
| -0.3025783598423004f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -62.3977890014648438f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| -0.6390139460563660f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -1.9648925065994263f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -1.2496180534362793f, |
| -0.2371963709592819f, |
| -2.9617946147918701f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -101.7502517700195312f, |
| 0.0000000000000000f, |
| }); |
| frustumGoldenOutputs.push_back({ |
| 30.3771648406982422f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -1.3496931791305542f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -91.7013320922851562f, |
| 1.1379971504211426f, |
| 0.7856983542442322f, |
| -1.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -6.2911696434020996f, |
| 0.0000000000000000f, |
| }); |
| |
| for (size_t i = 0; i < frustumGoldenInputs.size(); i++) |
| { |
| const auto &input = frustumGoldenInputs[i]; |
| const auto &output = frustumGoldenOutputs[i]; |
| Mat4 r = Mat4::Frustum(input.l, input.r, input.b, input.t, input.n, input.f); |
| CheckMatrixCloseToGolden(output, r); |
| } |
| } |
| |
| // Tests orthographic projection matrices. |
| TEST(MatrixUtilsTest, Mat4Ortho) |
| { |
| // Randomly-generated inputs, outputs using GLM. |
| std::vector<FrustumArgs> orthoGoldenInputs; |
| std::vector<std::vector<float>> orthoGoldenOutputs; |
| |
| orthoGoldenInputs.push_back({-1.2515230178833008f, 5.6523618698120117f, -0.7427234649658203f, |
| -2.9657564163208008f, -5.4732933044433594f, -9.6416902542114258f}); |
| orthoGoldenInputs.push_back({-7.8948307037353516f, -8.4146118164062500f, -4.3893952369689941f, |
| 7.4392738342285156f, -8.1261911392211914f, 3.1107978820800781f}); |
| orthoGoldenInputs.push_back({3.1667709350585938f, 3.9134168624877930f, -7.1993961334228516f, |
| -0.2519502639770508f, 5.4625358581542969f, 8.8320560455322266f}); |
| orthoGoldenInputs.push_back({0.3597183227539062f, 5.7859621047973633f, 4.6786174774169922f, |
| -6.4736566543579102f, -2.7510557174682617f, 2.9977531433105469f}); |
| orthoGoldenInputs.push_back({3.2480134963989258f, 9.3551750183105469f, -7.5922241210937500f, |
| -2.5135083198547363f, -4.5282001495361328f, -5.4564580917358398f}); |
| orthoGoldenInputs.push_back({-6.6918325424194336f, -9.6249752044677734f, -6.9591665267944336f, |
| -2.7099137306213379f, -5.5196690559387207f, -9.0791969299316406f}); |
| orthoGoldenInputs.push_back({5.9386453628540039f, -9.1784019470214844f, -1.4078102111816406f, |
| -1.0552892684936523f, 3.7563705444335938f, -6.6715431213378906f}); |
| orthoGoldenInputs.push_back({-8.6238059997558594f, -0.2995386123657227f, 5.6623821258544922f, |
| 7.6483421325683594f, 5.6686410903930664f, -7.1456899642944336f}); |
| orthoGoldenInputs.push_back({2.3857555389404297f, -2.6020836830139160f, 6.7841358184814453f, |
| 0.9868297576904297f, 5.6463518142700195f, -1.7597074508666992f}); |
| orthoGoldenInputs.push_back({4.6028537750244141f, 0.1757516860961914f, -6.1434607505798340f, |
| 6.8524093627929688f, 8.4380626678466797f, -1.4824752807617188f}); |
| orthoGoldenInputs.push_back({40.3382720947265625f, -34.5338973999023438f, -11.1726379394531250f, |
| 21.4206924438476562f, 17.5087890625000000f, 70.2734069824218750f}); |
| orthoGoldenInputs.push_back({85.2872314453125000f, 22.3899002075195312f, -92.8537139892578125f, |
| 7.6059341430664062f, 32.9500732421875000f, -8.1374511718750000f}); |
| orthoGoldenInputs.push_back({33.8771057128906250f, -27.6973648071289062f, 90.3841094970703125f, |
| 85.8473358154296875f, 36.0423278808593750f, |
| -36.5140991210937500f}); |
| orthoGoldenInputs.push_back({-92.4729461669921875f, 7.1592102050781250f, -75.2177963256835938f, |
| 14.4945983886718750f, 10.6297378540039062f, 53.9828796386718750f}); |
| orthoGoldenInputs.push_back({90.2037658691406250f, 54.5332946777343750f, -58.9839515686035156f, |
| 56.7301330566406250f, 63.2403869628906250f, 81.1043853759765625f}); |
| orthoGoldenInputs.push_back({-78.6419067382812500f, 65.5156250000000000f, -78.8265304565429688f, |
| -37.5036048889160156f, 76.9322204589843750f, |
| -0.2213287353515625f}); |
| orthoGoldenInputs.push_back({80.1368560791015625f, 60.2946777343750000f, -27.3523788452148438f, |
| 88.5419616699218750f, -75.3445968627929688f, |
| 83.3852081298828125f}); |
| orthoGoldenInputs.push_back({55.0712585449218750f, -17.4033813476562500f, -98.6088104248046875f, |
| 81.6600952148437500f, 61.1217803955078125f, 73.5973815917968750f}); |
| orthoGoldenInputs.push_back({-48.7522583007812500f, 20.8100433349609375f, -45.6365356445312500f, |
| -13.2819519042968750f, -29.7577133178710938f, |
| 62.1014862060546875f}); |
| orthoGoldenInputs.push_back({-60.3634567260742188f, 71.4023284912109375f, 59.0719757080078125f, |
| 22.6195831298828125f, -32.6802139282226562f, |
| -56.3766899108886719f}); |
| orthoGoldenOutputs.push_back({ |
| 0.2896919548511505f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.8996717929840088f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.4798007607460022f, |
| 0.0000000000000000f, |
| -0.6374438405036926f, |
| -1.6682072877883911f, |
| -3.6260902881622314f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -3.8477735519409180f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.1690807342529297f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.1779836267232895f, |
| 0.0000000000000000f, |
| -31.3775196075439453f, |
| -0.2578378617763519f, |
| 0.4463289380073547f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| 2.6786458492279053f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.2878755927085876f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.5935563445091248f, |
| 0.0000000000000000f, |
| -9.4826574325561523f, |
| 1.0725302696228027f, |
| -4.2423224449157715f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| 0.3685790896415710f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.1793356239795685f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.3478981554508209f, |
| 0.0000000000000000f, |
| -1.1325846910476685f, |
| -0.1609572321176529f, |
| -0.0429127886891365f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| 0.3274843692779541f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.3938003480434418f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 2.1545734405517578f, |
| 0.0000000000000000f, |
| -2.0636737346649170f, |
| 1.9898203611373901f, |
| -10.7563400268554688f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.6818625330924988f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.4706709980964661f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.5618722438812256f, |
| 0.0000000000000000f, |
| -5.5629096031188965f, |
| 2.2754778861999512f, |
| -4.1013488769531250f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.1323009729385376f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 5.6734218597412109f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.1917929202318192f, |
| 0.0000000000000000f, |
| -0.2143114656209946f, |
| 6.9871010780334473f, |
| -0.2795547246932983f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| 0.2402613908052444f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0070695877075195f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.1560752540826797f, |
| 0.0000000000000000f, |
| 1.0719676017761230f, |
| -6.7024130821228027f, |
| -0.1152653917670250f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.4009752273559570f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.3449878096580505f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.2700491547584534f, |
| 0.0000000000000000f, |
| -0.0433711148798466f, |
| 1.3404442071914673f, |
| 0.5247924923896790f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.4517627954483032f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.1538950353860855f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.2016019672155380f, |
| 0.0000000000000000f, |
| 1.0793980360031128f, |
| -0.0545518361032009f, |
| 0.7011300325393677f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.0267121959477663f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0613622479140759f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.0379041880369186f, |
| 0.0000000000000000f, |
| 0.0775237977504730f, |
| -0.3144218325614929f, |
| -1.6636564731597900f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.0317978523671627f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0199084915220737f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0486765764653683f, |
| 0.0000000000000000f, |
| 1.7119507789611816f, |
| 0.8485773205757141f, |
| 0.6038967370986938f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.0324809923768044f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.4408419132232666f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0275647528469563f, |
| 0.0000000000000000f, |
| 0.1003620624542236f, |
| 38.8451042175292969f, |
| -0.0065021286718547f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| 0.0200738403946161f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0222934633493423f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.0461327582597733f, |
| 0.0000000000000000f, |
| 0.8562871813774109f, |
| 0.6768652200698853f, |
| -1.4903790950775146f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.0560687854886055f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0172839816659689f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.1119570210576057f, |
| 0.0000000000000000f, |
| 4.0576157569885254f, |
| 0.0194774791598320f, |
| -8.0802049636840820f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| 0.0138737112283707f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0483992844820023f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0259223338216543f, |
| 0.0000000000000000f, |
| 0.0910551249980927f, |
| 2.8151476383209229f, |
| 0.9942626357078552f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.1007953882217407f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0172570981085300f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.0126000288873911f, |
| 0.0000000000000000f, |
| 7.0774250030517578f, |
| -0.5279772877693176f, |
| -0.0506559647619724f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| -0.0275958590209484f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0110945366322994f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.1603129208087921f, |
| 0.0000000000000000f, |
| 0.5197387337684631f, |
| 0.0940190702676773f, |
| -10.7986106872558594f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| 0.0287512056529522f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0618150420486927f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.0217724516987801f, |
| 0.0000000000000000f, |
| 0.4016861617565155f, |
| 1.8210244178771973f, |
| -0.3521016240119934f, |
| 1.0000000000000000f, |
| }); |
| orthoGoldenOutputs.push_back({ |
| 0.0151784475892782f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| -0.0548660829663277f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0844007357954979f, |
| 0.0000000000000000f, |
| -0.0837764739990234f, |
| 2.2410478591918945f, |
| -3.7582340240478516f, |
| 1.0000000000000000f, |
| }); |
| |
| EXPECT_EQ(orthoGoldenInputs.size(), orthoGoldenOutputs.size()); |
| |
| for (size_t i = 0; i < orthoGoldenInputs.size(); i++) |
| { |
| const auto &input = orthoGoldenInputs[i]; |
| const auto &output = orthoGoldenOutputs[i]; |
| Mat4 r = Mat4::Ortho(input.l, input.r, input.b, input.t, input.n, input.f); |
| CheckMatrixCloseToGolden(output, r); |
| } |
| } |
| |
| // Tests for inverse transpose of mat4, which is a frequent operation done to |
| // the modelview matrix, for things such as transformation of normals. |
| TEST(MatrixUtilsTest, Mat4InvTr) |
| { |
| |
| std::vector<std::vector<float>> invTrInputs; |
| std::vector<std::vector<float>> invTrOutputs; |
| invTrInputs.push_back({ |
| 0.3247877955436707f, |
| -0.8279561400413513f, |
| 0.4571666717529297f, |
| 0.0000000000000000f, |
| 0.9041201472282410f, |
| 0.1299063563346863f, |
| -0.4070515632629395f, |
| 0.0000000000000000f, |
| 0.2776319682598114f, |
| 0.5455390810966492f, |
| 0.7907638549804688f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| invTrInputs.push_back({ |
| -0.8843839168548584f, |
| 0.3047805428504944f, |
| -0.3535164594650269f, |
| 0.0000000000000000f, |
| 0.4647803902626038f, |
| 0.6447106003761292f, |
| -0.6068999171257019f, |
| 0.0000000000000000f, |
| 0.0429445058107376f, |
| -0.7010400891304016f, |
| -0.7118276357650757f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| invTrInputs.push_back({ |
| -0.4487786889076233f, |
| 0.8632985353469849f, |
| 0.2308966517448425f, |
| 0.0000000000000000f, |
| -0.5765564441680908f, |
| -0.0823006033897400f, |
| -0.8129017353057861f, |
| -0.0000000000000000f, |
| -0.6827739477157593f, |
| -0.4979379475116730f, |
| 0.5346751213073730f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| invTrInputs.push_back({ |
| 0.9865614175796509f, |
| 0.0901400744915009f, |
| -0.1362765878438950f, |
| 0.0000000000000000f, |
| 0.0155128352344036f, |
| 0.7786107659339905f, |
| 0.6273153424263000f, |
| 0.0000000000000000f, |
| 0.1626526862382889f, |
| -0.6209991574287415f, |
| 0.7667490243911743f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| invTrInputs.push_back({ |
| -0.5566663742065430f, |
| 0.8302737474441528f, |
| -0.0277124047279358f, |
| 0.0000000000000000f, |
| -0.0281167924404144f, |
| 0.0145094990730286f, |
| 0.9994993209838867f, |
| 0.0000000000000000f, |
| 0.8302601575851440f, |
| 0.5571669340133667f, |
| 0.0152677297592163f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 0.0000000000000000f, |
| 1.0000000000000000f, |
| }); |
| invTrInputs.push_back({ |
| 0.4160673320293427f, |
| -0.9093281030654907f, |
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| |
| EXPECT_EQ(invTrInputs.size(), invTrInputs.size()); |
| |
| for (size_t i = 0; i < invTrInputs.size(); i++) |
| { |
| Mat4 a(invTrInputs[i]); |
| CheckMatrixCloseToGolden(invTrOutputs[i], a.transpose().inverse()); |
| } |
| } |
| |
| // Tests mat4 matrix/matrix multiplication by multiplying two translation matrices. |
| TEST(MatrixUtilsTest, Mat4Mult) |
| { |
| Mat4 a, b; |
| CheckMatrixCloseToGolden(a.data(), a.product(b)); |
| |
| Mat4 r = Mat4::Translate(Vector3(1.f, 1.f, 1.f)); |
| CheckMatrixCloseToGolden(r.data(), a.product(r)); |
| |
| Mat4 s = Mat4::Translate(Vector3(2.f, 2.f, 2.f)); |
| Mat4 t = r.product(r); |
| CheckMatrixCloseToGolden(s.data(), t); |
| } |
| |
| // Tests exact equality. |
| TEST(MatrixUtilsTest, ExactEquality) |
| { |
| Mat4 a, b; |
| EXPECT_EQ(a, b); |
| Mat4 c; |
| c(0, 0) += 0.000001f; |
| EXPECT_NE(a, c); |
| } |
| |
| // Tests near equality. |
| TEST(MatrixUtilsTest, NearEquality) |
| { |
| Mat4 a, b; |
| |
| float *bData = b.data(); |
| for (int i = 0; i < 16; i++) |
| { |
| bData[i] += 0.09f; |
| } |
| |
| EXPECT_TRUE(a.nearlyEqual(0.1f, b)); |
| |
| for (int i = 0; i < 16; i++) |
| { |
| bData[i] -= 2 * 0.09f; |
| } |
| |
| EXPECT_TRUE(a.nearlyEqual(0.1f, b)); |
| } |
| |
| } // namespace |
