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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@gmail.com>
//
// 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"
template<typename MatrixType> void symm(const MatrixType& m)
{
typedef typename MatrixType::Scalar Scalar;
typedef typename NumTraits<Scalar>::Real RealScalar;
typedef Matrix<Scalar, MatrixType::ColsAtCompileTime, Dynamic> Rhs1;
typedef Matrix<Scalar, Dynamic, MatrixType::RowsAtCompileTime> Rhs2;
typedef Matrix<Scalar, MatrixType::ColsAtCompileTime, Dynamic,RowMajor> Rhs3;
int rows = m.rows();
int cols = m.cols();
MatrixType m1 = MatrixType::Random(rows, cols),
m2 = MatrixType::Random(rows, cols);
m1 = (m1+m1.adjoint()).eval();
Rhs1 rhs1 = Rhs1::Random(cols, ei_random<int>(1,320)), rhs12, rhs13;
Rhs2 rhs2 = Rhs2::Random(ei_random<int>(1,320), rows), rhs22, rhs23;
Rhs3 rhs3 = Rhs3::Random(cols, ei_random<int>(1,320)), rhs32, rhs33;
Scalar s1 = ei_random<Scalar>(),
s2 = ei_random<Scalar>();
m2 = m1.template triangularView<LowerTriangular>();
VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<LowerTriangular>() * (s2*rhs1),
rhs13 = (s1*m1) * (s2*rhs1));
m2 = m1.template triangularView<UpperTriangular>();
VERIFY_IS_APPROX(rhs12 = (s1*m2).template selfadjointView<UpperTriangular>() * (s2*rhs1),
rhs13 = (s1*m1) * (s2*rhs1));
m2 = m1.template triangularView<LowerTriangular>();
VERIFY_IS_APPROX(rhs22 = (s1*m2).template selfadjointView<LowerTriangular>() * (s2*rhs2.adjoint()),
rhs23 = (s1*m1) * (s2*rhs2.adjoint()));
m2 = m1.template triangularView<UpperTriangular>();
VERIFY_IS_APPROX(rhs22 = (s1*m2).template selfadjointView<UpperTriangular>() * (s2*rhs2.adjoint()),
rhs23 = (s1*m1) * (s2*rhs2.adjoint()));
m2 = m1.template triangularView<UpperTriangular>();
VERIFY_IS_APPROX(rhs22 = (s1*m2.adjoint()).template selfadjointView<LowerTriangular>() * (s2*rhs2.adjoint()),
rhs23 = (s1*m1.adjoint()) * (s2*rhs2.adjoint()));
// test row major = <...>
m2 = m1.template triangularView<LowerTriangular>();
VERIFY_IS_APPROX(rhs32 = (s1*m2).template selfadjointView<LowerTriangular>() * (s2*rhs3),
rhs33 = (s1*m1) * (s2 * rhs3));
m2 = m1.template triangularView<UpperTriangular>();
VERIFY_IS_APPROX(rhs32 = (s1*m2.adjoint()).template selfadjointView<LowerTriangular>() * (s2*rhs3).conjugate(),
rhs33 = (s1*m1.adjoint()) * (s2*rhs3).conjugate());
// test matrix * selfadjoint
m2 = m1.template triangularView<LowerTriangular>();
VERIFY_IS_APPROX(rhs22 = (rhs2) * (m2).template selfadjointView<LowerTriangular>(),
rhs23 = (rhs2) * (m1));
VERIFY_IS_APPROX(rhs22 = (s2*rhs2) * (s1*m2).template selfadjointView<LowerTriangular>(),
rhs23 = (s2*rhs2) * (s1*m1));
}
void test_product_symm()
{
for(int i = 0; i < g_repeat ; i++)
{
int s;
s = ei_random<int>(10,320);
CALL_SUBTEST( symm(MatrixXf(s, s)) );
s = ei_random<int>(10,320);
CALL_SUBTEST( symm(MatrixXcd(s, s)) );
}
}
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