1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This file is part of Eigen, a lightweight C++ template library 2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// for linear algebra. 3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr> 5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This Source Code Form is subject to the terms of the Mozilla 7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Public License v. 2.0. If a copy of the MPL was not distributed 8c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 9c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 10c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#include "main.h" 11c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 12c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_TRSM(TRI,XB) { \ 13c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (XB).setRandom(); ref = (XB); \ 14c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (TRI).solveInPlace(XB); \ 15c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \ 16c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (XB).setRandom(); ref = (XB); \ 17c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (XB) = (TRI).solve(XB); \ 18c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \ 19c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 20c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 21c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define VERIFY_TRSM_ONTHERIGHT(TRI,XB) { \ 22c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (XB).setRandom(); ref = (XB); \ 23c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (TRI).transpose().template solveInPlace<OnTheRight>(XB.transpose()); \ 24c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \ 25c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (XB).setRandom(); ref = (XB); \ 26c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath (XB).transpose() = (TRI).transpose().template solve<OnTheRight>(XB.transpose()); \ 27c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \ 28c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 29c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 30c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Scalar,int Size, int Cols> void trsolve(int size=Size,int cols=Cols) 31c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 32c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename NumTraits<Scalar>::Real RealScalar; 33c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 34c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Matrix<Scalar,Size,Size,ColMajor> cmLhs(size,size); 35c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Matrix<Scalar,Size,Size,RowMajor> rmLhs(size,size); 36c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 37c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { colmajor = Size==1 ? RowMajor : ColMajor, 38c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath rowmajor = Cols==1 ? ColMajor : RowMajor }; 39c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Matrix<Scalar,Size,Cols,colmajor> cmRhs(size,cols); 40c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Matrix<Scalar,Size,Cols,rowmajor> rmRhs(size,cols); 41c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Matrix<Scalar,Dynamic,Dynamic,colmajor> ref(size,cols); 42c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 43c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath cmLhs.setRandom(); cmLhs *= static_cast<RealScalar>(0.1); cmLhs.diagonal().array() += static_cast<RealScalar>(1); 44c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath rmLhs.setRandom(); rmLhs *= static_cast<RealScalar>(0.1); rmLhs.diagonal().array() += static_cast<RealScalar>(1); 45c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 46c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), cmRhs); 47c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(cmLhs.adjoint() .template triangularView<Lower>(), cmRhs); 48c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(cmLhs .template triangularView<Upper>(), cmRhs); 49c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(cmLhs .template triangularView<Lower>(), rmRhs); 50c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(cmLhs.conjugate().template triangularView<Upper>(), rmRhs); 51c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(cmLhs.adjoint() .template triangularView<Upper>(), rmRhs); 52c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 53c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs); 54c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(cmLhs .template triangularView<UnitUpper>(), rmRhs); 55c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 56c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(rmLhs .template triangularView<Lower>(), cmRhs); 57c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs); 58c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 59c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 60c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Lower>(), cmRhs); 61c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<Upper>(), cmRhs); 62c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<Lower>(), rmRhs); 63c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Upper>(), rmRhs); 64c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 65c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs); 66c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<UnitUpper>(), rmRhs); 67c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 68c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM_ONTHERIGHT(rmLhs .template triangularView<Lower>(), cmRhs); 69c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM_ONTHERIGHT(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs); 70c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 71c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath int c = internal::random<int>(0,cols-1); 72c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(rmLhs.template triangularView<Lower>(), rmRhs.col(c)); 73c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath VERIFY_TRSM(cmLhs.template triangularView<Lower>(), rmRhs.col(c)); 74c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 75c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 76c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathvoid test_product_trsolve() 77c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 78c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath for(int i = 0; i < g_repeat ; i++) 79c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 80c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // matrices 81c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CALL_SUBTEST_1((trsolve<float,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); 82c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CALL_SUBTEST_2((trsolve<double,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); 83c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 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)))); 84c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 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)))); 85c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 86c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // vectors 87c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CALL_SUBTEST_1((trsolve<float,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); 88c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CALL_SUBTEST_5((trsolve<std::complex<double>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE)))); 89c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CALL_SUBTEST_6((trsolve<float,1,1>())); 90c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CALL_SUBTEST_7((trsolve<float,1,2>())); 91c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CALL_SUBTEST_8((trsolve<std::complex<float>,4,1>())); 92c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 93c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 94