1 // This file is part of Eigen, a lightweight C++ template library 2 // for linear algebra. 3 // 4 // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud (at) inria.fr> 5 // 6 // This Source Code Form is subject to the terms of the Mozilla 7 // Public License v. 2.0. If a copy of the MPL was not distributed 8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 9 10 #include "main.h" 11 12 template<typename Scalar, int Mode, int TriOrder, int OtherOrder, int ResOrder, int OtherCols> 13 void trmm(int rows=internal::random<int>(1,EIGEN_TEST_MAX_SIZE), 14 int cols=internal::random<int>(1,EIGEN_TEST_MAX_SIZE), 15 int otherCols = OtherCols==Dynamic?internal::random<int>(1,EIGEN_TEST_MAX_SIZE):OtherCols) 16 { 17 typedef typename NumTraits<Scalar>::Real RealScalar; 18 19 typedef Matrix<Scalar,Dynamic,Dynamic,TriOrder> TriMatrix; 20 typedef Matrix<Scalar,Dynamic,OtherCols,OtherCols==1?ColMajor:OtherOrder> OnTheRight; 21 typedef Matrix<Scalar,OtherCols,Dynamic,OtherCols==1?RowMajor:OtherOrder> OnTheLeft; 22 23 typedef Matrix<Scalar,Dynamic,OtherCols,OtherCols==1?ColMajor:ResOrder> ResXS; 24 typedef Matrix<Scalar,OtherCols,Dynamic,OtherCols==1?RowMajor:ResOrder> ResSX; 25 26 TriMatrix mat(rows,cols), tri(rows,cols), triTr(cols,rows); 27 28 OnTheRight ge_right(cols,otherCols); 29 OnTheLeft ge_left(otherCols,rows); 30 ResSX ge_sx, ge_sx_save; 31 ResXS ge_xs, ge_xs_save; 32 33 Scalar s1 = internal::random<Scalar>(), 34 s2 = internal::random<Scalar>(); 35 36 mat.setRandom(); 37 tri = mat.template triangularView<Mode>(); 38 triTr = mat.transpose().template triangularView<Mode>(); 39 ge_right.setRandom(); 40 ge_left.setRandom(); 41 42 VERIFY_IS_APPROX( ge_xs = mat.template triangularView<Mode>() * ge_right, tri * ge_right); 43 VERIFY_IS_APPROX( ge_sx = ge_left * mat.template triangularView<Mode>(), ge_left * tri); 44 45 VERIFY_IS_APPROX( ge_xs.noalias() = mat.template triangularView<Mode>() * ge_right, tri * ge_right); 46 VERIFY_IS_APPROX( ge_sx.noalias() = ge_left * mat.template triangularView<Mode>(), ge_left * tri); 47 48 VERIFY_IS_APPROX( ge_xs.noalias() = (s1*mat.adjoint()).template triangularView<Mode>() * (s2*ge_left.transpose()), s1*triTr.conjugate() * (s2*ge_left.transpose())); 49 VERIFY_IS_APPROX( ge_sx.noalias() = ge_right.transpose() * mat.adjoint().template triangularView<Mode>(), ge_right.transpose() * triTr.conjugate()); 50 51 VERIFY_IS_APPROX( ge_xs.noalias() = (s1*mat.adjoint()).template triangularView<Mode>() * (s2*ge_left.adjoint()), s1*triTr.conjugate() * (s2*ge_left.adjoint())); 52 VERIFY_IS_APPROX( ge_sx.noalias() = ge_right.adjoint() * mat.adjoint().template triangularView<Mode>(), ge_right.adjoint() * triTr.conjugate()); 53 54 ge_xs_save = ge_xs; 55 VERIFY_IS_APPROX( (ge_xs_save + s1*triTr.conjugate() * (s2*ge_left.adjoint())).eval(), ge_xs.noalias() += (s1*mat.adjoint()).template triangularView<Mode>() * (s2*ge_left.adjoint()) ); 56 ge_sx_save = ge_sx; 57 VERIFY_IS_APPROX( ge_sx_save - (ge_right.adjoint() * (-s1 * triTr).conjugate()).eval(), ge_sx.noalias() -= (ge_right.adjoint() * (-s1 * mat).adjoint().template triangularView<Mode>()).eval()); 58 59 VERIFY_IS_APPROX( ge_xs = (s1*mat).adjoint().template triangularView<Mode>() * ge_left.adjoint(), internal::conj(s1) * triTr.conjugate() * ge_left.adjoint()); 60 61 // TODO check with sub-matrix expressions ? 62 } 63 64 template<typename Scalar, int Mode, int TriOrder> 65 void trmv(int rows=internal::random<int>(1,EIGEN_TEST_MAX_SIZE), int cols=internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) 66 { 67 trmm<Scalar,Mode,TriOrder,ColMajor,ColMajor,1>(rows,cols,1); 68 } 69 70 template<typename Scalar, int Mode, int TriOrder, int OtherOrder, int ResOrder> 71 void trmm(int rows=internal::random<int>(1,EIGEN_TEST_MAX_SIZE), int cols=internal::random<int>(1,EIGEN_TEST_MAX_SIZE), int otherCols = internal::random<int>(1,EIGEN_TEST_MAX_SIZE)) 72 { 73 trmm<Scalar,Mode,TriOrder,OtherOrder,ResOrder,Dynamic>(rows,cols,otherCols); 74 } 75 76 #define CALL_ALL_ORDERS(NB,SCALAR,MODE) \ 77 EIGEN_CAT(CALL_SUBTEST_,NB)((trmm<SCALAR, MODE, ColMajor,ColMajor,ColMajor>())); \ 78 EIGEN_CAT(CALL_SUBTEST_,NB)((trmm<SCALAR, MODE, ColMajor,ColMajor,RowMajor>())); \ 79 EIGEN_CAT(CALL_SUBTEST_,NB)((trmm<SCALAR, MODE, ColMajor,RowMajor,ColMajor>())); \ 80 EIGEN_CAT(CALL_SUBTEST_,NB)((trmm<SCALAR, MODE, ColMajor,RowMajor,RowMajor>())); \ 81 EIGEN_CAT(CALL_SUBTEST_,NB)((trmm<SCALAR, MODE, RowMajor,ColMajor,ColMajor>())); \ 82 EIGEN_CAT(CALL_SUBTEST_,NB)((trmm<SCALAR, MODE, RowMajor,ColMajor,RowMajor>())); \ 83 EIGEN_CAT(CALL_SUBTEST_,NB)((trmm<SCALAR, MODE, RowMajor,RowMajor,ColMajor>())); \ 84 EIGEN_CAT(CALL_SUBTEST_,NB)((trmm<SCALAR, MODE, RowMajor,RowMajor,RowMajor>())); \ 85 \ 86 EIGEN_CAT(CALL_SUBTEST_1,NB)((trmv<SCALAR, MODE, ColMajor>())); \ 87 EIGEN_CAT(CALL_SUBTEST_1,NB)((trmv<SCALAR, MODE, RowMajor>())); 88 89 90 #define CALL_ALL(NB,SCALAR) \ 91 CALL_ALL_ORDERS(EIGEN_CAT(1,NB),SCALAR,Upper) \ 92 CALL_ALL_ORDERS(EIGEN_CAT(2,NB),SCALAR,UnitUpper) \ 93 CALL_ALL_ORDERS(EIGEN_CAT(3,NB),SCALAR,StrictlyUpper) \ 94 CALL_ALL_ORDERS(EIGEN_CAT(1,NB),SCALAR,Lower) \ 95 CALL_ALL_ORDERS(EIGEN_CAT(2,NB),SCALAR,UnitLower) \ 96 CALL_ALL_ORDERS(EIGEN_CAT(3,NB),SCALAR,StrictlyLower) 97 98 99 void test_product_trmm() 100 { 101 for(int i = 0; i < g_repeat ; i++) 102 { 103 CALL_ALL(1,float); // EIGEN_SUFFIXES;11;111;21;121;31;131 104 CALL_ALL(2,double); // EIGEN_SUFFIXES;12;112;22;122;32;132 105 CALL_ALL(3,std::complex<float>); // EIGEN_SUFFIXES;13;113;23;123;33;133 106 CALL_ALL(4,std::complex<double>); // EIGEN_SUFFIXES;14;114;24;124;34;134 107 } 108 } 109
