2009-07-26 19:01:37 +08:00
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// This file is part 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@gmail.com>
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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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2009-07-31 23:35:55 +08:00
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#define VERIFY_TRSM(TRI,XB) { \
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2009-08-15 16:20:01 +08:00
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(XB).setRandom(); ref = (XB); \
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(TRI).solveInPlace(XB); \
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2009-11-20 20:22:46 +08:00
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VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
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2009-07-31 23:35:55 +08:00
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}
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2009-07-26 19:01:37 +08:00
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2009-12-23 17:24:13 +08:00
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#define VERIFY_TRSM_ONTHERIGHT(TRI,XB) { \
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(XB).setRandom(); ref = (XB); \
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(TRI).transpose().template solveInPlace<OnTheRight>(XB.transpose()); \
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VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \
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}
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2009-12-23 18:48:53 +08:00
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template<typename Scalar,int Size, int Cols> void trsolve(int size=Size,int cols=Cols)
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2009-07-26 19:01:37 +08:00
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{
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typedef typename NumTraits<Scalar>::Real RealScalar;
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2009-12-23 18:48:53 +08:00
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Matrix<Scalar,Size,Size,ColMajor> cmLhs(size,size);
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Matrix<Scalar,Size,Size,RowMajor> rmLhs(size,size);
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2009-07-26 19:01:37 +08:00
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2010-03-21 23:28:03 +08:00
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enum { order = Size==1 ? RowMajor : ColMajor };
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Matrix<Scalar,Size,Cols,order> cmRhs(size,cols), ref(size,cols);
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Matrix<Scalar,Size,Cols,order> rmRhs(size,cols);
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2009-07-26 19:01:37 +08:00
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2009-12-17 00:37:21 +08:00
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cmLhs.setRandom(); cmLhs *= static_cast<RealScalar>(0.1); cmLhs.diagonal().array() += static_cast<RealScalar>(1);
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rmLhs.setRandom(); rmLhs *= static_cast<RealScalar>(0.1); rmLhs.diagonal().array() += static_cast<RealScalar>(1);
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2009-07-26 19:01:37 +08:00
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2010-01-08 04:15:32 +08:00
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VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
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VERIFY_TRSM(cmLhs .template triangularView<Upper>(), cmRhs);
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VERIFY_TRSM(cmLhs .template triangularView<Lower>(), rmRhs);
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VERIFY_TRSM(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
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2009-07-26 19:01:37 +08:00
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2010-01-08 04:15:32 +08:00
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VERIFY_TRSM(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
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VERIFY_TRSM(cmLhs .template triangularView<UnitUpper>(), rmRhs);
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2009-07-26 19:01:37 +08:00
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2010-01-08 04:15:32 +08:00
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VERIFY_TRSM(rmLhs .template triangularView<Lower>(), cmRhs);
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VERIFY_TRSM(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
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2009-12-23 17:24:13 +08:00
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2010-01-08 04:15:32 +08:00
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VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
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VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<Upper>(), cmRhs);
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VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<Lower>(), rmRhs);
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VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
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2009-12-23 17:24:13 +08:00
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2010-01-08 04:15:32 +08:00
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VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
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VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<UnitUpper>(), rmRhs);
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2009-12-23 17:24:13 +08:00
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2010-01-08 04:15:32 +08:00
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VERIFY_TRSM_ONTHERIGHT(rmLhs .template triangularView<Lower>(), cmRhs);
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VERIFY_TRSM_ONTHERIGHT(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
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2009-07-26 19:01:37 +08:00
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}
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2009-07-27 17:42:54 +08:00
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2009-12-23 18:48:53 +08:00
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void test_product_trsolve()
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2009-07-26 19:01:37 +08:00
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{
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for(int i = 0; i < g_repeat ; i++)
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{
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2009-12-23 18:48:53 +08:00
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// matrices
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CALL_SUBTEST_1((trsolve<float,Dynamic,Dynamic>(ei_random<int>(1,320),ei_random<int>(1,320))));
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2010-03-07 04:37:14 +08:00
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CALL_SUBTEST_2((trsolve<double,Dynamic,Dynamic>(ei_random<int>(1,320),ei_random<int>(1,320))));
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CALL_SUBTEST_3((trsolve<std::complex<double>,Dynamic,Dynamic>(ei_random<int>(1,320),ei_random<int>(1,320))));
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2009-12-23 18:48:53 +08:00
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// vectors
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2010-03-07 04:37:14 +08:00
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CALL_SUBTEST_4((trsolve<std::complex<double>,Dynamic,1>(ei_random<int>(1,320))));
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CALL_SUBTEST_5((trsolve<float,1,1>()));
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CALL_SUBTEST_6((trsolve<float,1,2>()));
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CALL_SUBTEST_7((trsolve<std::complex<float>,4,1>()));
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2009-07-26 19:01:37 +08:00
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}
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}
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