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104 lines
4.8 KiB
C++
104 lines
4.8 KiB
C++
// This file is triangularView of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#include "main.h"
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template<typename MatrixType> void trmv(const MatrixType& m)
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{
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typedef typename MatrixType::Index Index;
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typedef typename MatrixType::Scalar Scalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
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RealScalar largerEps = 10*test_precision<RealScalar>();
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Index rows = m.rows();
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Index cols = m.cols();
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MatrixType m1 = MatrixType::Random(rows, cols),
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m3(rows, cols);
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VectorType v1 = VectorType::Random(rows);
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Scalar s1 = ei_random<Scalar>();
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m1 = MatrixType::Random(rows, cols);
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// check with a column-major matrix
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m3 = m1.template triangularView<Eigen::Lower>();
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VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Lower>() * v1, largerEps));
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m3 = m1.template triangularView<Eigen::Upper>();
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VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Upper>() * v1, largerEps));
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m3 = m1.template triangularView<Eigen::UnitLower>();
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VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitLower>() * v1, largerEps));
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m3 = m1.template triangularView<Eigen::UnitUpper>();
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VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitUpper>() * v1, largerEps));
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// check conjugated and scalar multiple expressions (col-major)
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m3 = m1.template triangularView<Eigen::Lower>();
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VERIFY(((s1*m3).conjugate() * v1).isApprox((s1*m1).conjugate().template triangularView<Eigen::Lower>() * v1, largerEps));
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m3 = m1.template triangularView<Eigen::Upper>();
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VERIFY((m3.conjugate() * v1.conjugate()).isApprox(m1.conjugate().template triangularView<Eigen::Upper>() * v1.conjugate(), largerEps));
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// check with a row-major matrix
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m3 = m1.template triangularView<Eigen::Upper>();
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VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Lower>() * v1, largerEps));
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m3 = m1.template triangularView<Eigen::Lower>();
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VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Upper>() * v1, largerEps));
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m3 = m1.template triangularView<Eigen::UnitUpper>();
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VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitLower>() * v1, largerEps));
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m3 = m1.template triangularView<Eigen::UnitLower>();
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VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitUpper>() * v1, largerEps));
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// check conjugated and scalar multiple expressions (row-major)
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m3 = m1.template triangularView<Eigen::Upper>();
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VERIFY((m3.adjoint() * v1).isApprox(m1.adjoint().template triangularView<Eigen::Lower>() * v1, largerEps));
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m3 = m1.template triangularView<Eigen::Lower>();
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VERIFY((m3.adjoint() * (s1*v1.conjugate())).isApprox(m1.adjoint().template triangularView<Eigen::Upper>() * (s1*v1.conjugate()), largerEps));
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m3 = m1.template triangularView<Eigen::UnitUpper>();
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// check transposed cases:
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m3 = m1.template triangularView<Eigen::Lower>();
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VERIFY((v1.transpose() * m3).isApprox(v1.transpose() * m1.template triangularView<Eigen::Lower>(), largerEps));
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VERIFY((v1.adjoint() * m3).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>(), largerEps));
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VERIFY((v1.adjoint() * m3.adjoint()).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>().adjoint(), largerEps));
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// TODO check with sub-matrices
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}
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void test_product_trmv()
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{
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int s;
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for(int i = 0; i < g_repeat ; i++) {
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CALL_SUBTEST_1( trmv(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( trmv(Matrix<float, 2, 2>()) );
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CALL_SUBTEST_3( trmv(Matrix3d()) );
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s = ei_random<int>(1,200);
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CALL_SUBTEST_4( trmv(MatrixXcf(s)) );
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s = ei_random<int>(1,200);
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CALL_SUBTEST_5( trmv(MatrixXcd(s,s)) );
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s = ei_random<int>(1,320);
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CALL_SUBTEST_6( trmv(Matrix<float,Dynamic,Dynamic,RowMajor>(s, s)) );
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}
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}
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