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_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_eigensolver_selfadjoint()
{
int s = 0;
for(int i = 0; i < g_repeat; i++) {
// trivial test for 1x1 matrices:
CALL_SUBTEST_1( selfadjointeigensolver(Matrix<float, 1, 1>()));
CALL_SUBTEST_1( selfadjointeigensolver(Matrix<double, 1, 1>()));
// very important to test 3x3 and 2x2 matrices since we provide special paths for them
CALL_SUBTEST_12( selfadjointeigensolver(Matrix2f()) );
CALL_SUBTEST_12( selfadjointeigensolver(Matrix2d()) );
CALL_SUBTEST_13( selfadjointeigensolver(Matrix3f()) );
CALL_SUBTEST_13( selfadjointeigensolver(Matrix3d()) );
CALL_SUBTEST_2( selfadjointeigensolver(Matrix4d()) );
s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/4);
CALL_SUBTEST_3( selfadjointeigensolver(MatrixXf(s,s)) );
CALL_SUBTEST_4( selfadjointeigensolver(MatrixXd(s,s)) );
CALL_SUBTEST_5( selfadjointeigensolver(MatrixXcd(s,s)) );
CALL_SUBTEST_9( selfadjointeigensolver(Matrix<std::complex<double>,Dynamic,Dynamic,RowMajor>(s,s)) );
TEST_SET_BUT_UNUSED_VARIABLE(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>()) );
}
CALL_SUBTEST_13( bug_854<0>() );
CALL_SUBTEST_13( bug_1014<0>() );
CALL_SUBTEST_13( bug_1204<0>() );
CALL_SUBTEST_13( bug_1225<0>() );
// 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)
}
