mirror of
https://gitlab.com/libeigen/eigen.git
synced 2024-12-27 07:29:52 +08:00
2840ac7e94
* renaming, e.g. LU ---> FullPivLU * split tests framework: more robust, e.g. dont generate empty tests if a number is skipped * make all remaining tests use that splitting, as needed. * Fix 4x4 inversion (see stable branch) * Transform::inverse() and geo_transform test : adapt to new inverse() API, it was also trying to instantiate inverse() for 3x4 matrices. * CMakeLists: more robust regexp to parse the version number * misc fixes in unit tests
93 lines
3.5 KiB
C++
93 lines
3.5 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
|
|
// for linear algebra.
|
|
//
|
|
// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
|
|
//
|
|
// Eigen is free software; you can redistribute it and/or
|
|
// modify it under the terms of the GNU Lesser General Public
|
|
// License as published by the Free Software Foundation; either
|
|
// version 3 of the License, or (at your option) any later version.
|
|
//
|
|
// Alternatively, you can redistribute it and/or
|
|
// modify it under the terms of the GNU General Public License as
|
|
// published by the Free Software Foundation; either version 2 of
|
|
// the License, or (at your option) any later version.
|
|
//
|
|
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
|
|
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
|
|
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
|
|
// GNU General Public License for more details.
|
|
//
|
|
// You should have received a copy of the GNU Lesser General Public
|
|
// License and a copy of the GNU General Public License along with
|
|
// Eigen. If not, see <http://www.gnu.org/licenses/>.
|
|
|
|
#include "main.h"
|
|
#include <Eigen/Eigenvalues>
|
|
|
|
#ifdef HAS_GSL
|
|
#include "gsl_helper.h"
|
|
#endif
|
|
|
|
template<typename MatrixType> void eigensolver(const MatrixType& m)
|
|
{
|
|
/* this test covers the following files:
|
|
EigenSolver.h
|
|
*/
|
|
int rows = m.rows();
|
|
int cols = m.cols();
|
|
|
|
typedef typename MatrixType::Scalar Scalar;
|
|
typedef typename NumTraits<Scalar>::Real RealScalar;
|
|
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
|
|
typedef Matrix<RealScalar, MatrixType::RowsAtCompileTime, 1> RealVectorType;
|
|
typedef typename std::complex<typename NumTraits<typename MatrixType::Scalar>::Real> Complex;
|
|
|
|
// RealScalar largerEps = 10*test_precision<RealScalar>();
|
|
|
|
MatrixType a = MatrixType::Random(rows,cols);
|
|
MatrixType a1 = MatrixType::Random(rows,cols);
|
|
MatrixType symmA = a.adjoint() * a + a1.adjoint() * a1;
|
|
|
|
EigenSolver<MatrixType> ei0(symmA);
|
|
VERIFY_IS_APPROX(symmA * ei0.pseudoEigenvectors(), ei0.pseudoEigenvectors() * ei0.pseudoEigenvalueMatrix());
|
|
VERIFY_IS_APPROX((symmA.template cast<Complex>()) * (ei0.pseudoEigenvectors().template cast<Complex>()),
|
|
(ei0.pseudoEigenvectors().template cast<Complex>()) * (ei0.eigenvalues().asDiagonal()));
|
|
|
|
EigenSolver<MatrixType> ei1(a);
|
|
VERIFY_IS_APPROX(a * ei1.pseudoEigenvectors(), ei1.pseudoEigenvectors() * ei1.pseudoEigenvalueMatrix());
|
|
VERIFY_IS_APPROX(a.template cast<Complex>() * ei1.eigenvectors(),
|
|
ei1.eigenvectors() * ei1.eigenvalues().asDiagonal());
|
|
|
|
}
|
|
|
|
template<typename MatrixType> void eigensolver_verify_assert()
|
|
{
|
|
MatrixType tmp;
|
|
|
|
EigenSolver<MatrixType> eig;
|
|
VERIFY_RAISES_ASSERT(eig.eigenvectors())
|
|
VERIFY_RAISES_ASSERT(eig.pseudoEigenvectors())
|
|
VERIFY_RAISES_ASSERT(eig.pseudoEigenvalueMatrix())
|
|
VERIFY_RAISES_ASSERT(eig.eigenvalues())
|
|
}
|
|
|
|
void test_eigensolver_generic()
|
|
{
|
|
for(int i = 0; i < g_repeat; i++) {
|
|
CALL_SUBTEST_1( eigensolver(Matrix4f()) );
|
|
CALL_SUBTEST_2( eigensolver(MatrixXd(17,17)) );
|
|
|
|
// some trivial but implementation-wise tricky cases
|
|
CALL_SUBTEST_2( eigensolver(MatrixXd(1,1)) );
|
|
CALL_SUBTEST_2( eigensolver(MatrixXd(2,2)) );
|
|
CALL_SUBTEST_3( eigensolver(Matrix<double,1,1>()) );
|
|
CALL_SUBTEST_4( eigensolver(Matrix2d()) );
|
|
}
|
|
|
|
CALL_SUBTEST_1( eigensolver_verify_assert<Matrix4f>() );
|
|
CALL_SUBTEST_2( eigensolver_verify_assert<MatrixXd>() );
|
|
CALL_SUBTEST_4( eigensolver_verify_assert<Matrix2d>() );
|
|
CALL_SUBTEST_5( eigensolver_verify_assert<MatrixXf>() );
|
|
}
|