128 lines
6.0 KiB
C++
128 lines
6.0 KiB
C++
// 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@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#include "main.h"
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#define VERIFY_TRSM(TRI,XB) { \
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(XB).setRandom(); ref = (XB); \
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(TRI).solveInPlace(XB); \
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VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
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(XB).setRandom(); ref = (XB); \
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(XB) = (TRI).solve(XB); \
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VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
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}
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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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(XB).setRandom(); ref = (XB); \
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(XB).transpose() = (TRI).transpose().template solve<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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template<typename Scalar,int Size, int Cols> void trsolve(int size=Size,int cols=Cols)
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{
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typedef typename NumTraits<Scalar>::Real RealScalar;
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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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enum { colmajor = Size==1 ? RowMajor : ColMajor,
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rowmajor = Cols==1 ? ColMajor : RowMajor };
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Matrix<Scalar,Size,Cols,colmajor> cmRhs(size,cols);
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Matrix<Scalar,Size,Cols,rowmajor> rmRhs(size,cols);
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Matrix<Scalar,Dynamic,Dynamic,colmajor> ref(size,cols);
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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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VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
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VERIFY_TRSM(cmLhs.adjoint() .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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VERIFY_TRSM(cmLhs.adjoint() .template triangularView<Upper>(), rmRhs);
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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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VERIFY_TRSM(rmLhs .template triangularView<Lower>(), cmRhs);
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VERIFY_TRSM(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
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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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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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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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int c = internal::random<int>(0,cols-1);
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VERIFY_TRSM(rmLhs.template triangularView<Lower>(), rmRhs.col(c));
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VERIFY_TRSM(cmLhs.template triangularView<Lower>(), rmRhs.col(c));
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// destination with a non-default inner-stride
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// see bug 1741
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{
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typedef Matrix<Scalar,Dynamic,Dynamic> MatrixX;
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MatrixX buffer(2*cmRhs.rows(),2*cmRhs.cols());
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Map<Matrix<Scalar,Size,Cols,colmajor>,0,Stride<Dynamic,2> > map1(buffer.data(),cmRhs.rows(),cmRhs.cols(),Stride<Dynamic,2>(2*cmRhs.outerStride(),2));
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Map<Matrix<Scalar,Size,Cols,rowmajor>,0,Stride<Dynamic,2> > map2(buffer.data(),rmRhs.rows(),rmRhs.cols(),Stride<Dynamic,2>(2*rmRhs.outerStride(),2));
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buffer.setZero();
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VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), map1);
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buffer.setZero();
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VERIFY_TRSM(cmLhs .template triangularView<Lower>(), map2);
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}
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if(Size==Dynamic)
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{
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cmLhs.resize(0,0);
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cmRhs.resize(0,cmRhs.cols());
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Matrix<Scalar,Size,Cols,colmajor> res = cmLhs.template triangularView<Lower>().solve(cmRhs);
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VERIFY_IS_EQUAL(res.rows(),0);
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VERIFY_IS_EQUAL(res.cols(),cmRhs.cols());
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res = cmRhs;
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cmLhs.template triangularView<Lower>().solveInPlace(res);
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VERIFY_IS_EQUAL(res.rows(),0);
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VERIFY_IS_EQUAL(res.cols(),cmRhs.cols());
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}
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}
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EIGEN_DECLARE_TEST(product_trsolve)
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{
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for(int i = 0; i < g_repeat ; i++)
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{
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// matrices
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CALL_SUBTEST_1((trsolve<float,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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CALL_SUBTEST_2((trsolve<double,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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CALL_SUBTEST_3((trsolve<std::complex<float>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
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CALL_SUBTEST_4((trsolve<std::complex<double>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
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// vectors
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CALL_SUBTEST_5((trsolve<float,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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CALL_SUBTEST_6((trsolve<double,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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CALL_SUBTEST_7((trsolve<std::complex<float>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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CALL_SUBTEST_8((trsolve<std::complex<double>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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// meta-unrollers
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CALL_SUBTEST_9((trsolve<float,4,1>()));
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CALL_SUBTEST_10((trsolve<double,4,1>()));
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CALL_SUBTEST_11((trsolve<std::complex<float>,4,1>()));
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CALL_SUBTEST_12((trsolve<float,1,1>()));
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CALL_SUBTEST_13((trsolve<float,1,2>()));
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CALL_SUBTEST_14((trsolve<float,3,1>()));
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}
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}
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