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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2010 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 #define CHECK_MMTR(DEST, TRI, OP) {                   \
     13     ref2 = ref1 = DEST;                               \
     14     DEST.template triangularView<TRI>() OP;           \
     15     ref1 OP;                                          \
     16     ref2.template triangularView<TRI>()               \
     17       = ref1.template triangularView<TRI>();          \
     18     VERIFY_IS_APPROX(DEST,ref2);                      \
     19   }
     20 
     21 template<typename Scalar> void mmtr(int size)
     22 {
     23   typedef Matrix<Scalar,Dynamic,Dynamic,ColMajor> MatrixColMaj;
     24   typedef Matrix<Scalar,Dynamic,Dynamic,RowMajor> MatrixRowMaj;
     25 
     26   DenseIndex othersize = internal::random<DenseIndex>(1,200);
     27 
     28   MatrixColMaj matc = MatrixColMaj::Zero(size, size);
     29   MatrixRowMaj matr = MatrixRowMaj::Zero(size, size);
     30   MatrixColMaj ref1(size, size), ref2(size, size);
     31 
     32   MatrixColMaj soc(size,othersize); soc.setRandom();
     33   MatrixColMaj osc(othersize,size); osc.setRandom();
     34   MatrixRowMaj sor(size,othersize); sor.setRandom();
     35   MatrixRowMaj osr(othersize,size); osr.setRandom();
     36   MatrixColMaj sqc(size,size); sqc.setRandom();
     37   MatrixRowMaj sqr(size,size); sqr.setRandom();
     38 
     39   Scalar s = internal::random<Scalar>();
     40 
     41   CHECK_MMTR(matc, Lower, = s*soc*sor.adjoint());
     42   CHECK_MMTR(matc, Upper, = s*(soc*soc.adjoint()));
     43   CHECK_MMTR(matr, Lower, = s*soc*soc.adjoint());
     44   CHECK_MMTR(matr, Upper, = soc*(s*sor.adjoint()));
     45 
     46   CHECK_MMTR(matc, Lower, += s*soc*soc.adjoint());
     47   CHECK_MMTR(matc, Upper, += s*(soc*sor.transpose()));
     48   CHECK_MMTR(matr, Lower, += s*sor*soc.adjoint());
     49   CHECK_MMTR(matr, Upper, += soc*(s*soc.adjoint()));
     50 
     51   CHECK_MMTR(matc, Lower, -= s*soc*soc.adjoint());
     52   CHECK_MMTR(matc, Upper, -= s*(osc.transpose()*osc.conjugate()));
     53   CHECK_MMTR(matr, Lower, -= s*soc*soc.adjoint());
     54   CHECK_MMTR(matr, Upper, -= soc*(s*soc.adjoint()));
     55 
     56   CHECK_MMTR(matc, Lower, -= s*sqr*sqc.template triangularView<Upper>());
     57   CHECK_MMTR(matc, Upper, = s*sqc*sqr.template triangularView<Upper>());
     58   CHECK_MMTR(matc, Lower, += s*sqr*sqc.template triangularView<Lower>());
     59   CHECK_MMTR(matc, Upper, = s*sqc*sqc.template triangularView<Lower>());
     60 
     61   CHECK_MMTR(matc, Lower, = (s*sqr).template triangularView<Upper>()*sqc);
     62   CHECK_MMTR(matc, Upper, -= (s*sqc).template triangularView<Upper>()*sqc);
     63   CHECK_MMTR(matc, Lower, = (s*sqr).template triangularView<Lower>()*sqc);
     64   CHECK_MMTR(matc, Upper, += (s*sqc).template triangularView<Lower>()*sqc);
     65 
     66   // check aliasing
     67   ref2 = ref1 = matc;
     68   ref1 = sqc.adjoint() * matc * sqc;
     69   ref2.template triangularView<Upper>() = ref1.template triangularView<Upper>();
     70   matc.template triangularView<Upper>() = sqc.adjoint() * matc * sqc;
     71   VERIFY_IS_APPROX(matc, ref2);
     72 
     73   ref2 = ref1 = matc;
     74   ref1 = sqc * matc * sqc.adjoint();
     75   ref2.template triangularView<Lower>() = ref1.template triangularView<Lower>();
     76   matc.template triangularView<Lower>() = sqc * matc * sqc.adjoint();
     77   VERIFY_IS_APPROX(matc, ref2);
     78 }
     79 
     80 void test_product_mmtr()
     81 {
     82   for(int i = 0; i < g_repeat ; i++)
     83   {
     84     CALL_SUBTEST_1((mmtr<float>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
     85     CALL_SUBTEST_2((mmtr<double>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
     86     CALL_SUBTEST_3((mmtr<std::complex<float> >(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
     87     CALL_SUBTEST_4((mmtr<std::complex<double> >(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
     88   }
     89 }
     90