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// This file is triangularView of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.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"
template<typename MatrixType> void trmv(const MatrixType& m)
{
typedef typename MatrixType::Index Index;
typedef typename MatrixType::Scalar Scalar;
typedef typename NumTraits<Scalar>::Real RealScalar;
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
RealScalar largerEps = 10*test_precision<RealScalar>();
Index rows = m.rows();
Index cols = m.cols();
MatrixType m1 = MatrixType::Random(rows, cols),
m3(rows, cols);
VectorType v1 = VectorType::Random(rows);
Scalar s1 = internal::random<Scalar>();
m1 = MatrixType::Random(rows, cols);
// check with a column-major matrix
m3 = m1.template triangularView<Eigen::Lower>();
VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Lower>() * v1, largerEps));
m3 = m1.template triangularView<Eigen::Upper>();
VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Upper>() * v1, largerEps));
m3 = m1.template triangularView<Eigen::UnitLower>();
VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitLower>() * v1, largerEps));
m3 = m1.template triangularView<Eigen::UnitUpper>();
VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitUpper>() * v1, largerEps));
// check conjugated and scalar multiple expressions (col-major)
m3 = m1.template triangularView<Eigen::Lower>();
VERIFY(((s1*m3).conjugate() * v1).isApprox((s1*m1).conjugate().template triangularView<Eigen::Lower>() * v1, largerEps));
m3 = m1.template triangularView<Eigen::Upper>();
VERIFY((m3.conjugate() * v1.conjugate()).isApprox(m1.conjugate().template triangularView<Eigen::Upper>() * v1.conjugate(), largerEps));
// check with a row-major matrix
m3 = m1.template triangularView<Eigen::Upper>();
VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Lower>() * v1, largerEps));
m3 = m1.template triangularView<Eigen::Lower>();
VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Upper>() * v1, largerEps));
m3 = m1.template triangularView<Eigen::UnitUpper>();
VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitLower>() * v1, largerEps));
m3 = m1.template triangularView<Eigen::UnitLower>();
VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitUpper>() * v1, largerEps));
// check conjugated and scalar multiple expressions (row-major)
m3 = m1.template triangularView<Eigen::Upper>();
VERIFY((m3.adjoint() * v1).isApprox(m1.adjoint().template triangularView<Eigen::Lower>() * v1, largerEps));
m3 = m1.template triangularView<Eigen::Lower>();
VERIFY((m3.adjoint() * (s1*v1.conjugate())).isApprox(m1.adjoint().template triangularView<Eigen::Upper>() * (s1*v1.conjugate()), largerEps));
m3 = m1.template triangularView<Eigen::UnitUpper>();
// check transposed cases:
m3 = m1.template triangularView<Eigen::Lower>();
VERIFY((v1.transpose() * m3).isApprox(v1.transpose() * m1.template triangularView<Eigen::Lower>(), largerEps));
VERIFY((v1.adjoint() * m3).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>(), largerEps));
VERIFY((v1.adjoint() * m3.adjoint()).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>().adjoint(), largerEps));
// TODO check with sub-matrices
}
void test_product_trmv()
{
int s;
for(int i = 0; i < g_repeat ; i++) {
CALL_SUBTEST_1( trmv(Matrix<float, 1, 1>()) );
CALL_SUBTEST_2( trmv(Matrix<float, 2, 2>()) );
CALL_SUBTEST_3( trmv(Matrix3d()) );
s = internal::random<int>(1,200);
CALL_SUBTEST_4( trmv(MatrixXcf(s,s)) );
s = internal::random<int>(1,200);
CALL_SUBTEST_5( trmv(MatrixXcd(s,s)) );
s = internal::random<int>(1,320);
CALL_SUBTEST_6( trmv(Matrix<float,Dynamic,Dynamic,RowMajor>(s, s)) );
}
}
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