void test_nullary() { CALL_SUBTEST_1( testMatrixType(Matrix2d()) ); CALL_SUBTEST_2( testMatrixType(MatrixXcf(internal::random<int>(1,300),internal::random<int>(1,300))) ); CALL_SUBTEST_3( testMatrixType(MatrixXf(internal::random<int>(1,300),internal::random<int>(1,300))) ); for(int i = 0; i < g_repeat; i++) { CALL_SUBTEST_4( testVectorType(VectorXd(internal::random<int>(1,300))) ); CALL_SUBTEST_5( testVectorType(Vector4d()) ); // regression test for bug 232 CALL_SUBTEST_6( testVectorType(Vector3d()) ); CALL_SUBTEST_7( testVectorType(VectorXf(internal::random<int>(1,300))) ); CALL_SUBTEST_8( testVectorType(Vector3f()) ); CALL_SUBTEST_8( testVectorType(Vector4f()) ); CALL_SUBTEST_8( testVectorType(Matrix<float,8,1>()) ); CALL_SUBTEST_8( testVectorType(Matrix<float,1,1>()) ); CALL_SUBTEST_9( testVectorType(VectorXi(internal::random<int>(1,300))) ); CALL_SUBTEST_9( testVectorType(Matrix<int,1,1>()) ); } #ifdef EIGEN_TEST_PART_6 // Assignment of a RowVectorXd to a MatrixXd (regression test for bug #79). VERIFY( (MatrixXd(RowVectorXd::LinSpaced(3, 0, 1)) - RowVector3d(0, 0.5, 1)).norm() < std::numeric_limits<double>::epsilon() ); #endif }
void test_matrix_power() { CALL_SUBTEST_2(test2dRotation<double>(1e-13)); CALL_SUBTEST_1(test2dRotation<float>(2e-5)); // was 1e-5, relaxed for clang 2.8 / linux / x86-64 CALL_SUBTEST_9(test2dRotation<long double>(1e-13)); CALL_SUBTEST_2(test2dHyperbolicRotation<double>(1e-14)); CALL_SUBTEST_1(test2dHyperbolicRotation<float>(1e-5)); CALL_SUBTEST_9(test2dHyperbolicRotation<long double>(1e-14)); CALL_SUBTEST_10(test3dRotation<double>(1e-13)); CALL_SUBTEST_11(test3dRotation<float>(1e-5)); CALL_SUBTEST_12(test3dRotation<long double>(1e-13)); CALL_SUBTEST_2(testGeneral(Matrix2d(), 1e-13)); CALL_SUBTEST_7(testGeneral(Matrix3dRowMajor(), 1e-13)); CALL_SUBTEST_3(testGeneral(Matrix4cd(), 1e-13)); CALL_SUBTEST_4(testGeneral(MatrixXd(8,8), 2e-12)); CALL_SUBTEST_1(testGeneral(Matrix2f(), 1e-4)); CALL_SUBTEST_5(testGeneral(Matrix3cf(), 1e-4)); CALL_SUBTEST_8(testGeneral(Matrix4f(), 1e-4)); CALL_SUBTEST_6(testGeneral(MatrixXf(2,2), 1e-3)); // see bug 614 CALL_SUBTEST_9(testGeneral(MatrixXe(7,7), 1e-13)); CALL_SUBTEST_10(testGeneral(Matrix3d(), 1e-13)); CALL_SUBTEST_11(testGeneral(Matrix3f(), 1e-4)); CALL_SUBTEST_12(testGeneral(Matrix3e(), 1e-13)); CALL_SUBTEST_2(testSingular(Matrix2d(), 1e-13)); CALL_SUBTEST_7(testSingular(Matrix3dRowMajor(), 1e-13)); CALL_SUBTEST_3(testSingular(Matrix4cd(), 1e-13)); CALL_SUBTEST_4(testSingular(MatrixXd(8,8), 2e-12)); CALL_SUBTEST_1(testSingular(Matrix2f(), 1e-4)); CALL_SUBTEST_5(testSingular(Matrix3cf(), 1e-4)); CALL_SUBTEST_8(testSingular(Matrix4f(), 1e-4)); CALL_SUBTEST_6(testSingular(MatrixXf(2,2), 1e-3)); CALL_SUBTEST_9(testSingular(MatrixXe(7,7), 1e-13)); CALL_SUBTEST_10(testSingular(Matrix3d(), 1e-13)); CALL_SUBTEST_11(testSingular(Matrix3f(), 1e-4)); CALL_SUBTEST_12(testSingular(Matrix3e(), 1e-13)); CALL_SUBTEST_2(testLogThenExp(Matrix2d(), 1e-13)); CALL_SUBTEST_7(testLogThenExp(Matrix3dRowMajor(), 1e-13)); CALL_SUBTEST_3(testLogThenExp(Matrix4cd(), 1e-13)); CALL_SUBTEST_4(testLogThenExp(MatrixXd(8,8), 2e-12)); CALL_SUBTEST_1(testLogThenExp(Matrix2f(), 1e-4)); CALL_SUBTEST_5(testLogThenExp(Matrix3cf(), 1e-4)); CALL_SUBTEST_8(testLogThenExp(Matrix4f(), 1e-4)); CALL_SUBTEST_6(testLogThenExp(MatrixXf(2,2), 1e-3)); CALL_SUBTEST_9(testLogThenExp(MatrixXe(7,7), 1e-13)); CALL_SUBTEST_10(testLogThenExp(Matrix3d(), 1e-13)); CALL_SUBTEST_11(testLogThenExp(Matrix3f(), 1e-4)); CALL_SUBTEST_12(testLogThenExp(Matrix3e(), 1e-13)); }
void test_mapped_matrix() { for(int i = 0; i < g_repeat; i++) { CALL_SUBTEST_1( map_class_vector(Matrix<float, 1, 1>()) ); CALL_SUBTEST_1( check_const_correctness(Matrix<float, 1, 1>()) ); CALL_SUBTEST_2( map_class_vector(Vector4d()) ); CALL_SUBTEST_2( map_class_vector(VectorXd(13)) ); CALL_SUBTEST_2( check_const_correctness(Matrix4d()) ); CALL_SUBTEST_3( map_class_vector(RowVector4f()) ); CALL_SUBTEST_4( map_class_vector(VectorXcf(8)) ); CALL_SUBTEST_5( map_class_vector(VectorXi(12)) ); CALL_SUBTEST_5( check_const_correctness(VectorXi(12)) ); CALL_SUBTEST_1( map_class_matrix(Matrix<float, 1, 1>()) ); CALL_SUBTEST_2( map_class_matrix(Matrix4d()) ); CALL_SUBTEST_11( map_class_matrix(Matrix<float,3,5>()) ); CALL_SUBTEST_4( map_class_matrix(MatrixXcf(internal::random<int>(1,10),internal::random<int>(1,10))) ); CALL_SUBTEST_5( map_class_matrix(MatrixXi(internal::random<int>(1,10),internal::random<int>(1,10))) ); CALL_SUBTEST_6( map_static_methods(Matrix<double, 1, 1>()) ); CALL_SUBTEST_7( map_static_methods(Vector3f()) ); CALL_SUBTEST_8( map_static_methods(RowVector3d()) ); CALL_SUBTEST_9( map_static_methods(VectorXcd(8)) ); CALL_SUBTEST_10( map_static_methods(VectorXf(12)) ); CALL_SUBTEST_11( map_not_aligned_on_scalar<double>() ); } }
void test_eigensolver_selfadjoint() { int s = 0; for(int i = 0; i < g_repeat; i++) { // very important to test 3x3 and 2x2 matrices since we provide special paths for them CALL_SUBTEST_1( selfadjointeigensolver(Matrix2f()) ); CALL_SUBTEST_1( selfadjointeigensolver(Matrix2d()) ); CALL_SUBTEST_1( selfadjointeigensolver(Matrix3f()) ); CALL_SUBTEST_1( selfadjointeigensolver(Matrix3d()) ); CALL_SUBTEST_2( selfadjointeigensolver(Matrix4d()) ); s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/4); CALL_SUBTEST_3( selfadjointeigensolver(MatrixXf(s,s)) ); s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/4); CALL_SUBTEST_4( selfadjointeigensolver(MatrixXd(s,s)) ); s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/4); CALL_SUBTEST_5( selfadjointeigensolver(MatrixXcd(s,s)) ); s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/4); CALL_SUBTEST_9( selfadjointeigensolver(Matrix<std::complex<double>,Dynamic,Dynamic,RowMajor>(s,s)) ); // some trivial but implementation-wise tricky cases CALL_SUBTEST_4( selfadjointeigensolver(MatrixXd(1,1)) ); CALL_SUBTEST_4( selfadjointeigensolver(MatrixXd(2,2)) ); CALL_SUBTEST_6( selfadjointeigensolver(Matrix<double,1,1>()) ); CALL_SUBTEST_7( selfadjointeigensolver(Matrix<double,2,2>()) ); } // Test problem size constructors s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/4); CALL_SUBTEST_8(SelfAdjointEigenSolver<MatrixXf> tmp1(s)); CALL_SUBTEST_8(Tridiagonalization<MatrixXf> tmp2(s)); TEST_SET_BUT_UNUSED_VARIABLE(s) }
void test_product_trsolve() { for(int i = 0; i < g_repeat ; i++) { // matrices CALL_SUBTEST_1((trsolve<float,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); CALL_SUBTEST_2((trsolve<double,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); CALL_SUBTEST_3((trsolve<std::complex<float>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2)))); CALL_SUBTEST_4((trsolve<std::complex<double>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2)))); // vectors CALL_SUBTEST_5((trsolve<float,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); CALL_SUBTEST_6((trsolve<double,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); CALL_SUBTEST_7((trsolve<std::complex<float>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); CALL_SUBTEST_8((trsolve<std::complex<double>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); // meta-unrollers CALL_SUBTEST_9((trsolve<float,4,1>())); CALL_SUBTEST_10((trsolve<double,4,1>())); CALL_SUBTEST_11((trsolve<std::complex<float>,4,1>())); CALL_SUBTEST_12((trsolve<float,1,1>())); CALL_SUBTEST_13((trsolve<float,1,2>())); CALL_SUBTEST_14((trsolve<float,3,1>())); } }
void test_boostmultiprec() { typedef Matrix<Real,Dynamic,Dynamic> Mat; typedef Matrix<std::complex<Real>,Dynamic,Dynamic> MatC; std::cout << "NumTraits<Real>::epsilon() = " << NumTraits<Real>::epsilon() << std::endl; std::cout << "NumTraits<Real>::dummy_precision() = " << NumTraits<Real>::dummy_precision() << std::endl; std::cout << "NumTraits<Real>::lowest() = " << NumTraits<Real>::lowest() << std::endl; std::cout << "NumTraits<Real>::highest() = " << NumTraits<Real>::highest() << std::endl; std::cout << "NumTraits<Real>::digits10() = " << NumTraits<Real>::digits10() << std::endl; // chekc stream output { Mat A(10,10); A.setRandom(); std::stringstream ss; ss << A; } { MatC A(10,10); A.setRandom(); std::stringstream ss; ss << A; } for(int i = 0; i < g_repeat; i++) { int s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE); CALL_SUBTEST_1( cholesky(Mat(s,s)) ); CALL_SUBTEST_2( lu_non_invertible<Mat>() ); CALL_SUBTEST_2( lu_invertible<Mat>() ); CALL_SUBTEST_2( lu_non_invertible<MatC>() ); CALL_SUBTEST_2( lu_invertible<MatC>() ); CALL_SUBTEST_3( qr(Mat(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); CALL_SUBTEST_3( qr_invertible<Mat>() ); CALL_SUBTEST_4( qr<Mat>() ); CALL_SUBTEST_4( cod<Mat>() ); CALL_SUBTEST_4( qr_invertible<Mat>() ); CALL_SUBTEST_5( qr<Mat>() ); CALL_SUBTEST_5( qr_invertible<Mat>() ); CALL_SUBTEST_6( selfadjointeigensolver(Mat(s,s)) ); CALL_SUBTEST_7( eigensolver(Mat(s,s)) ); CALL_SUBTEST_8( generalized_eigensolver_real(Mat(s,s)) ); TEST_SET_BUT_UNUSED_VARIABLE(s) } CALL_SUBTEST_9(( jacobisvd(Mat(internal::random<int>(EIGEN_TEST_MAX_SIZE/4, EIGEN_TEST_MAX_SIZE), internal::random<int>(EIGEN_TEST_MAX_SIZE/4, EIGEN_TEST_MAX_SIZE/2))) )); CALL_SUBTEST_10(( bdcsvd(Mat(internal::random<int>(EIGEN_TEST_MAX_SIZE/4, EIGEN_TEST_MAX_SIZE), internal::random<int>(EIGEN_TEST_MAX_SIZE/4, EIGEN_TEST_MAX_SIZE/2))) )); }
void test_nullary() { CALL_SUBTEST_1( testMatrixType(Matrix2d()) ); CALL_SUBTEST_2( testMatrixType(MatrixXcf(50,50)) ); CALL_SUBTEST_3( testMatrixType(MatrixXf(5,7)) ); CALL_SUBTEST_4( testVectorType(VectorXd(51)) ); CALL_SUBTEST_5( testVectorType(VectorXd(41)) ); CALL_SUBTEST_6( testVectorType(Vector3d()) ); CALL_SUBTEST_7( testVectorType(VectorXf(51)) ); CALL_SUBTEST_8( testVectorType(VectorXf(41)) ); CALL_SUBTEST_9( testVectorType(Vector3f()) ); }
void test_linearstructure() { for(int i = 0; i < g_repeat; i++) { CALL_SUBTEST_1( linearStructure(Matrix<float, 1, 1>()) ); CALL_SUBTEST_2( linearStructure(Matrix2f()) ); CALL_SUBTEST_3( linearStructure(Vector3d()) ); CALL_SUBTEST_4( linearStructure(Matrix4d()) ); CALL_SUBTEST_5( linearStructure(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2), internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))) ); CALL_SUBTEST_6( linearStructure(MatrixXf (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); CALL_SUBTEST_7( linearStructure(MatrixXi (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); CALL_SUBTEST_8( linearStructure(MatrixXcd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2), internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))) ); CALL_SUBTEST_9( linearStructure(ArrayXXf (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); } }
void test_matrix_power() { typedef Matrix<double,3,3,RowMajor> Matrix3dRowMajor; typedef Matrix<long double,Dynamic,Dynamic> MatrixXe; typedef Matrix<long double,Dynamic,1> VectorXe; CALL_SUBTEST_2(test2dRotation<double>(1e-13)); CALL_SUBTEST_1(test2dRotation<float>(2e-5)); // was 1e-5, relaxed for clang 2.8 / linux / x86-64 CALL_SUBTEST_9(test2dRotation<long double>(1e-13)); CALL_SUBTEST_2(test2dHyperbolicRotation<double>(1e-14)); CALL_SUBTEST_1(test2dHyperbolicRotation<float>(1e-5)); CALL_SUBTEST_9(test2dHyperbolicRotation<long double>(1e-14)); CALL_SUBTEST_2(testMatrixVector(Matrix2d(), Vector2d(), 1e-13)); CALL_SUBTEST_7(testMatrixVector(Matrix3dRowMajor(), MatrixXd(3,5), 1e-13)); CALL_SUBTEST_3(testMatrixVector(Matrix4cd(), Vector4cd(), 1e-13)); CALL_SUBTEST_4(testMatrixVector(MatrixXd(8,8), VectorXd(8), 2e-12)); CALL_SUBTEST_1(testMatrixVector(Matrix2f(), Vector2f(), 1e-4)); CALL_SUBTEST_5(testMatrixVector(Matrix3cf(), Vector3cf(), 1e-4)); CALL_SUBTEST_8(testMatrixVector(Matrix4f(), Vector4f(), 1e-4)); CALL_SUBTEST_6(testMatrixVector(MatrixXf(8,8), VectorXf(8), 1e-3)); CALL_SUBTEST_9(testMatrixVector(MatrixXe(7,7), VectorXe(7), 1e-13)); }
void test_nullary() { CALL_SUBTEST_1( testMatrixType(Matrix2d()) ); CALL_SUBTEST_2( testMatrixType(MatrixXcf(internal::random<int>(1,300),internal::random<int>(1,300))) ); CALL_SUBTEST_3( testMatrixType(MatrixXf(internal::random<int>(1,300),internal::random<int>(1,300))) ); for(int i = 0; i < g_repeat; i++) { CALL_SUBTEST_4( testVectorType(VectorXd(internal::random<int>(1,300))) ); CALL_SUBTEST_5( testVectorType(VectorXd(internal::random<int>(1,300))) ); CALL_SUBTEST_6( testVectorType(Vector3d()) ); CALL_SUBTEST_7( testVectorType(VectorXf(internal::random<int>(1,300))) ); CALL_SUBTEST_8( testVectorType(VectorXf(internal::random<int>(1,300))) ); CALL_SUBTEST_9( testVectorType(Vector3f()) ); } }
void test_visitor() { for(int i = 0; i < g_repeat; i++) { CALL_SUBTEST_1( matrixVisitor(Matrix<float, 1, 1>()) ); CALL_SUBTEST_2( matrixVisitor(Matrix2f()) ); CALL_SUBTEST_3( matrixVisitor(Matrix4d()) ); CALL_SUBTEST_4( matrixVisitor(MatrixXd(8, 12)) ); CALL_SUBTEST_5( matrixVisitor(Matrix<double,Dynamic,Dynamic,RowMajor>(20, 20)) ); CALL_SUBTEST_6( matrixVisitor(MatrixXi(8, 12)) ); } for(int i = 0; i < g_repeat; i++) { CALL_SUBTEST_7( vectorVisitor(Vector4f()) ); CALL_SUBTEST_8( vectorVisitor(VectorXd(10)) ); CALL_SUBTEST_9( vectorVisitor(RowVectorXd(10)) ); CALL_SUBTEST_10( vectorVisitor(VectorXf(33)) ); } }
void test_matrix_exponential() { CALL_SUBTEST_2(test2dRotation<double>(1e-13)); CALL_SUBTEST_1(test2dRotation<float>(2e-5)); // was 1e-5, relaxed for clang 2.8 / linux / x86-64 CALL_SUBTEST_8(test2dRotation<long double>(1e-13)); CALL_SUBTEST_2(test2dHyperbolicRotation<double>(1e-14)); CALL_SUBTEST_1(test2dHyperbolicRotation<float>(1e-5)); CALL_SUBTEST_8(test2dHyperbolicRotation<long double>(1e-14)); CALL_SUBTEST_6(testPascal<float>(1e-6)); CALL_SUBTEST_5(testPascal<double>(1e-15)); CALL_SUBTEST_2(randomTest(Matrix2d(), 1e-13)); CALL_SUBTEST_7(randomTest(Matrix<double,3,3,RowMajor>(), 1e-13)); CALL_SUBTEST_3(randomTest(Matrix4cd(), 1e-13)); CALL_SUBTEST_4(randomTest(MatrixXd(8,8), 1e-13)); CALL_SUBTEST_1(randomTest(Matrix2f(), 1e-4)); CALL_SUBTEST_5(randomTest(Matrix3cf(), 1e-4)); CALL_SUBTEST_1(randomTest(Matrix4f(), 1e-4)); CALL_SUBTEST_6(randomTest(MatrixXf(8,8), 1e-4)); CALL_SUBTEST_9(randomTest(Matrix<long double,Dynamic,Dynamic>(7,7), 1e-13)); }
void test_triangular() { for(int i = 0; i < g_repeat ; i++) { int r = ei_random<int>(2,20); EIGEN_UNUSED_VARIABLE(r); int c = ei_random<int>(2,20); EIGEN_UNUSED_VARIABLE(c); CALL_SUBTEST_1( triangular_square(Matrix<float, 1, 1>()) ); CALL_SUBTEST_2( triangular_square(Matrix<float, 2, 2>()) ); CALL_SUBTEST_3( triangular_square(Matrix3d()) ); CALL_SUBTEST_4( triangular_square(Matrix<std::complex<float>,8, 8>()) ); CALL_SUBTEST_5( triangular_square(MatrixXcd(r,r)) ); CALL_SUBTEST_6( triangular_square(Matrix<float,Dynamic,Dynamic,RowMajor>(r, r)) ); CALL_SUBTEST_7( triangular_rect(Matrix<float, 4, 5>()) ); CALL_SUBTEST_8( triangular_rect(Matrix<double, 6, 2>()) ); CALL_SUBTEST_9( triangular_rect(MatrixXcf(r, c)) ); CALL_SUBTEST_5( triangular_rect(MatrixXcd(r, c)) ); CALL_SUBTEST_6( triangular_rect(Matrix<float,Dynamic,Dynamic,RowMajor>(r, c)) ); } }
void test_eigensolver_selfadjoint() { for(int i = 0; i < g_repeat; i++) { // very important to test a 3x3 matrix since we provide a special path for it CALL_SUBTEST_1( selfadjointeigensolver(Matrix3f()) ); CALL_SUBTEST_2( selfadjointeigensolver(Matrix4d()) ); CALL_SUBTEST_3( selfadjointeigensolver(MatrixXf(10,10)) ); CALL_SUBTEST_4( selfadjointeigensolver(MatrixXd(19,19)) ); CALL_SUBTEST_5( selfadjointeigensolver(MatrixXcd(17,17)) ); CALL_SUBTEST_9( selfadjointeigensolver(Matrix<std::complex<double>,Dynamic,Dynamic,RowMajor>(17,17)) ); // some trivial but implementation-wise tricky cases CALL_SUBTEST_4( selfadjointeigensolver(MatrixXd(1,1)) ); CALL_SUBTEST_4( selfadjointeigensolver(MatrixXd(2,2)) ); CALL_SUBTEST_6( selfadjointeigensolver(Matrix<double,1,1>()) ); CALL_SUBTEST_7( selfadjointeigensolver(Matrix<double,2,2>()) ); } // Test problem size constructors CALL_SUBTEST_8(SelfAdjointEigenSolver<MatrixXf>(10)); CALL_SUBTEST_8(Tridiagonalization<MatrixXf>(10)); }