mirror of
https://gitlab.com/libeigen/eigen.git
synced 2024-12-15 07:10:37 +08:00
78 lines
3.0 KiB
C++
78 lines
3.0 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
|
|
// for linear algebra.
|
|
//
|
|
// Copyright (C) 2009 Gael Guennebaud <g.gael@free.fr>
|
|
// Copyright (C) 2010 Jitse Niesen <jitse@maths.leeds.ac.uk>
|
|
//
|
|
// 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>
|
|
|
|
template<typename Scalar,int Size> void hessenberg(int size = Size)
|
|
{
|
|
typedef Matrix<Scalar,Size,Size> MatrixType;
|
|
|
|
// Test basic functionality: A = U H U* and H is Hessenberg
|
|
for(int counter = 0; counter < g_repeat; ++counter) {
|
|
MatrixType m = MatrixType::Random(size,size);
|
|
HessenbergDecomposition<MatrixType> hess(m);
|
|
MatrixType Q = hess.matrixQ();
|
|
MatrixType H = hess.matrixH();
|
|
VERIFY_IS_APPROX(m, Q * H * Q.adjoint());
|
|
for(int row = 2; row < size; ++row) {
|
|
for(int col = 0; col < row-1; ++col) {
|
|
VERIFY(H(row,col) == (typename MatrixType::Scalar)0);
|
|
}
|
|
}
|
|
}
|
|
|
|
// Test whether compute() and constructor returns same result
|
|
MatrixType A = MatrixType::Random(size, size);
|
|
HessenbergDecomposition<MatrixType> cs1;
|
|
cs1.compute(A);
|
|
HessenbergDecomposition<MatrixType> cs2(A);
|
|
VERIFY_IS_EQUAL(cs1.matrixH().eval(), cs2.matrixH().eval());
|
|
MatrixType cs1Q = cs1.matrixQ();
|
|
MatrixType cs2Q = cs2.matrixQ();
|
|
VERIFY_IS_EQUAL(cs1Q, cs2Q);
|
|
|
|
// Test assertions for when used uninitialized
|
|
HessenbergDecomposition<MatrixType> hessUninitialized;
|
|
VERIFY_RAISES_ASSERT( hessUninitialized.matrixH() );
|
|
VERIFY_RAISES_ASSERT( hessUninitialized.matrixQ() );
|
|
VERIFY_RAISES_ASSERT( hessUninitialized.householderCoefficients() );
|
|
VERIFY_RAISES_ASSERT( hessUninitialized.packedMatrix() );
|
|
|
|
// TODO: Add tests for packedMatrix() and householderCoefficients()
|
|
}
|
|
|
|
void test_hessenberg()
|
|
{
|
|
CALL_SUBTEST_1(( hessenberg<std::complex<double>,1>() ));
|
|
CALL_SUBTEST_2(( hessenberg<std::complex<double>,2>() ));
|
|
CALL_SUBTEST_3(( hessenberg<std::complex<float>,4>() ));
|
|
CALL_SUBTEST_4(( hessenberg<float,Dynamic>(ei_random<int>(1,320)) ));
|
|
CALL_SUBTEST_5(( hessenberg<std::complex<double>,Dynamic>(ei_random<int>(1,320)) ));
|
|
|
|
// Test problem size constructors
|
|
CALL_SUBTEST_6(HessenbergDecomposition<MatrixXf>(10));
|
|
}
|