DMatTDMatMapExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTDMATMAPEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATTDMATMAPEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <utility>
44 #include <blaze/math/Aliases.h>
50 #include <blaze/math/Exception.h>
56 #include <blaze/math/SIMD.h>
63 #include <blaze/system/Blocking.h>
64 #include <blaze/system/Inline.h>
65 #include <blaze/util/Assert.h>
66 #include <blaze/util/DisableIf.h>
67 #include <blaze/util/EnableIf.h>
70 #include <blaze/util/mpl/If.h>
71 #include <blaze/util/Types.h>
72 
73 
74 namespace blaze {
75 
76 //=================================================================================================
77 //
78 // CLASS DMATTDMATMAPEXPR
79 //
80 //=================================================================================================
81 
82 //*************************************************************************************************
90 template< typename MT1 // Type of the left-hand side dense matrix
91  , typename MT2 // Type of the right-hand side dense matrix
92  , typename OP > // Type of the custom operation
94  : public MatMatMapExpr< DenseMatrix< DMatTDMatMapExpr<MT1,MT2,OP>, false > >
95  , private Computation
96 {
97  private:
98  //**Type definitions****************************************************************************
107  //**********************************************************************************************
108 
109  //**Serial evaluation strategy******************************************************************
111 
117  static constexpr bool useAssign = ( RequiresEvaluation_v<MT1> || RequiresEvaluation_v<MT2> );
118 
120  template< typename MT >
122  static constexpr bool UseAssign_v = useAssign;
124  //**********************************************************************************************
125 
126  //**Parallel evaluation strategy****************************************************************
128 
134  template< typename MT >
135  static constexpr bool UseSMPAssign_v =
138  //**********************************************************************************************
139 
140  public:
141  //**Type definitions****************************************************************************
148 
150  using ReturnType = decltype( std::declval<OP>()( std::declval<RN1>(), std::declval<RN2>() ) );
151 
154 
156  using LeftOperand = If_t< IsExpression_v<MT1>, const MT1, const MT1& >;
157 
159  using RightOperand = If_t< IsExpression_v<MT2>, const MT2, const MT2& >;
160 
162  using Operation = OP;
163 
166 
169  //**********************************************************************************************
170 
171  //**Compilation flags***************************************************************************
173  static constexpr bool simdEnabled = false;
174 
176  static constexpr bool smpAssignable = ( MT1::smpAssignable && MT2::smpAssignable );
177  //**********************************************************************************************
178 
179  //**Constructor*********************************************************************************
186  explicit inline DMatTDMatMapExpr( const MT1& lhs, const MT2& rhs, OP op ) noexcept
187  : lhs_( lhs ) // Left-hand side dense matrix of the map expression
188  , rhs_( rhs ) // Right-hand side dense matrix of the map expression
189  , op_ ( op ) // The custom unary operation
190  {}
191  //**********************************************************************************************
192 
193  //**Access operator*****************************************************************************
200  inline ReturnType operator()( size_t i, size_t j ) const {
201  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
202  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
203  return op_( lhs_(i,j), rhs_(i,j) );
204  }
205  //**********************************************************************************************
206 
207  //**At function*********************************************************************************
215  inline ReturnType at( size_t i, size_t j ) const {
216  if( i >= lhs_.rows() ) {
217  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
218  }
219  if( j >= lhs_.columns() ) {
220  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
221  }
222  return (*this)(i,j);
223  }
224  //**********************************************************************************************
225 
226  //**Rows function*******************************************************************************
231  inline size_t rows() const noexcept {
232  return lhs_.rows();
233  }
234  //**********************************************************************************************
235 
236  //**Columns function****************************************************************************
241  inline size_t columns() const noexcept {
242  return lhs_.columns();
243  }
244  //**********************************************************************************************
245 
246  //**Left operand access*************************************************************************
251  inline LeftOperand leftOperand() const noexcept {
252  return lhs_;
253  }
254  //**********************************************************************************************
255 
256  //**Right operand access************************************************************************
261  inline RightOperand rightOperand() const noexcept {
262  return rhs_;
263  }
264  //**********************************************************************************************
265 
266  //**Operation access****************************************************************************
271  inline Operation operation() const {
272  return op_;
273  }
274  //**********************************************************************************************
275 
276  //**********************************************************************************************
282  template< typename T >
283  inline bool canAlias( const T* alias ) const noexcept {
284  return ( IsExpression_v<MT1> && lhs_.canAlias( alias ) ) ||
285  ( IsExpression_v<MT2> && rhs_.canAlias( alias ) );
286  }
287  //**********************************************************************************************
288 
289  //**********************************************************************************************
295  template< typename T >
296  inline bool isAliased( const T* alias ) const noexcept {
297  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
298  }
299  //**********************************************************************************************
300 
301  //**********************************************************************************************
306  inline bool isAligned() const noexcept {
307  return lhs_.isAligned() && rhs_.isAligned();
308  }
309  //**********************************************************************************************
310 
311  //**********************************************************************************************
316  inline bool canSMPAssign() const noexcept {
317  return lhs_.canSMPAssign() && rhs_.canSMPAssign();
318  }
319  //**********************************************************************************************
320 
321  private:
322  //**Member variables****************************************************************************
326  //**********************************************************************************************
327 
328  //**Assignment to dense matrices****************************************************************
342  template< typename MT // Type of the target dense matrix
343  , bool SO > // Storage order of the target dense matrix
344  friend inline auto assign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
346  {
348 
349  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
350  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
351 
352  constexpr size_t block( BLOCK_SIZE );
353 
354  const size_t m( rhs.rows() );
355  const size_t n( rhs.columns() );
356 
357  for( size_t ii=0UL; ii<m; ii+=block ) {
358  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
359  for( size_t jj=0UL; jj<n; jj+=block ) {
360  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
361  for( size_t i=ii; i<iend; ++i ) {
362  for( size_t j=jj; j<jend; ++j ) {
363  (~lhs)(i,j) = rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
364  }
365  }
366  }
367  }
368  }
370  //**********************************************************************************************
371 
372  //**Assignment to dense matrices****************************************************************
386  template< typename MT // Type of the target dense matrix
387  , bool SO > // Storage order of the target dense matrix
388  friend inline auto assign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
390  {
392 
393  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
394  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
395 
396  LT A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side dense matrix operand
397  RT B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side dense matrix operand
398 
399  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
400  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
401  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
402  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
403  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
404  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
405 
406  assign( ~lhs, map( A, B, rhs.op_ ) );
407  }
409  //**********************************************************************************************
410 
411  //**Assignment to sparse matrices***************************************************************
425  template< typename MT // Type of the target sparse matrix
426  , bool SO > // Storage order of the target sparse matrix
427  friend inline auto assign( SparseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
428  -> EnableIf_t< UseAssign_v<MT> >
429  {
431 
432  using TmpType = If_t< SO, OppositeType, ResultType >;
433 
440 
441  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
442  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
443 
444  const TmpType tmp( serial( rhs ) );
445  assign( ~lhs, tmp );
446  }
448  //**********************************************************************************************
449 
450  //**Addition assignment to dense matrices*******************************************************
464  template< typename MT // Type of the target dense matrix
465  , bool SO > // Storage order of the target dense matrix
466  friend inline auto addAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
467  -> DisableIf_t< UseAssign_v<MT> >
468  {
470 
471  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
472  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
473 
474  constexpr size_t block( BLOCK_SIZE );
475 
476  const size_t m( rhs.rows() );
477  const size_t n( rhs.columns() );
478 
479  for( size_t ii=0UL; ii<m; ii+=block ) {
480  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
481  for( size_t jj=0UL; jj<n; jj+=block ) {
482  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
483  for( size_t i=ii; i<iend; ++i ) {
484  for( size_t j=jj; j<jend; ++j ) {
485  (~lhs)(i,j) += rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
486  }
487  }
488  }
489  }
490  }
492  //**********************************************************************************************
493 
494  //**Addition assignment to dense matrices*******************************************************
508  template< typename MT // Type of the target dense matrix
509  , bool SO > // Storage order of the target dense matrix
510  friend inline auto addAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
511  -> EnableIf_t< UseAssign_v<MT> >
512  {
514 
515  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
516  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
517 
518  LT A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side dense matrix operand
519  RT B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side dense matrix operand
520 
521  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
522  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
523  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
524  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
525  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
526  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
527 
528  addAssign( ~lhs, map( A, B, rhs.op_ ) );
529  }
531  //**********************************************************************************************
532 
533  //**Addition assignment to sparse matrices******************************************************
534  // No special implementation for the addition assignment to sparse matrices.
535  //**********************************************************************************************
536 
537  //**Subtraction assignment to dense matrices****************************************************
551  template< typename MT // Type of the target dense matrix
552  , bool SO > // Storage order of the target dense matrix
553  friend inline auto subAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
554  -> DisableIf_t< UseAssign_v<MT> >
555  {
557 
558  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
559  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
560 
561  constexpr size_t block( BLOCK_SIZE );
562 
563  const size_t m( rhs.rows() );
564  const size_t n( rhs.columns() );
565 
566  for( size_t ii=0UL; ii<m; ii+=block ) {
567  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
568  for( size_t jj=0UL; jj<n; jj+=block ) {
569  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
570  for( size_t i=ii; i<iend; ++i ) {
571  for( size_t j=jj; j<jend; ++j ) {
572  (~lhs)(i,j) -= rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
573  }
574  }
575  }
576  }
577  }
579  //**********************************************************************************************
580 
581  //**Subtraction assignment to dense matrices****************************************************
595  template< typename MT // Type of the target dense matrix
596  , bool SO > // Storage order of the target dense matrix
597  friend inline auto subAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
598  -> EnableIf_t< UseAssign_v<MT> >
599  {
601 
602  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
603  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
604 
605  LT A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side dense matrix operand
606  RT B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side dense matrix operand
607 
608  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
609  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
610  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
611  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
612  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
613  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
614 
615  subAssign( ~lhs, map( A, B, rhs.op_ ) );
616  }
618  //**********************************************************************************************
619 
620  //**Subtraction assignment to sparse matrices***************************************************
621  // No special implementation for the subtraction assignment to sparse matrices.
622  //**********************************************************************************************
623 
624  //**Schur product assignment to dense matrices**************************************************
638  template< typename MT // Type of the target dense matrix
639  , bool SO > // Storage order of the target dense matrix
640  friend inline auto schurAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
641  -> DisableIf_t< UseAssign_v<MT> >
642  {
644 
645  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
646  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
647 
648  constexpr size_t block( BLOCK_SIZE );
649 
650  const size_t m( rhs.rows() );
651  const size_t n( rhs.columns() );
652 
653  for( size_t ii=0UL; ii<m; ii+=block ) {
654  const size_t iend( ( m < ii+block )?( m ):( ii+block ) );
655  for( size_t jj=0UL; jj<n; jj+=block ) {
656  const size_t jend( ( n < jj+block )?( n ):( jj+block ) );
657  for( size_t i=ii; i<iend; ++i ) {
658  for( size_t j=jj; j<jend; ++j ) {
659  (~lhs)(i,j) *= rhs.op_( rhs.lhs_(i,j), rhs.rhs_(i,j) );
660  }
661  }
662  }
663  }
664  }
666  //**********************************************************************************************
667 
668  //**Schur product assignment to dense matrices**************************************************
682  template< typename MT // Type of the target dense matrix
683  , bool SO > // Storage order of the target dense matrix
684  friend inline auto schurAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
685  -> EnableIf_t< UseAssign_v<MT> >
686  {
688 
689  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
690  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
691 
692  LT A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side dense matrix operand
693  RT B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side dense matrix operand
694 
695  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
696  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
697  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
698  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
699  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
700  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
701 
702  schurAssign( ~lhs, map( A, B, rhs.op_ ) );
703  }
705  //**********************************************************************************************
706 
707  //**Schur product assignment to sparse matrices*************************************************
708  // No special implementation for the Schur product assignment to sparse matrices.
709  //**********************************************************************************************
710 
711  //**Multiplication assignment to dense matrices*************************************************
712  // No special implementation for the multiplication assignment to dense matrices.
713  //**********************************************************************************************
714 
715  //**Multiplication assignment to sparse matrices************************************************
716  // No special implementation for the multiplication assignment to sparse matrices.
717  //**********************************************************************************************
718 
719  //**SMP assignment to dense matrices************************************************************
733  template< typename MT // Type of the target dense matrix
734  , bool SO > // Storage order of the target dense matrix
735  friend inline auto smpAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
736  -> EnableIf_t< UseSMPAssign_v<MT> >
737  {
739 
740  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
741  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
742 
743  LT A( rhs.lhs_ ); // Evaluation of the left-hand side dense matrix operand
744  RT B( rhs.rhs_ ); // Evaluation of the right-hand side dense matrix operand
745 
746  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
747  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
748  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
749  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
750  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
751  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
752 
753  smpAssign( ~lhs, map( A, B, rhs.op_ ) );
754  }
756  //**********************************************************************************************
757 
758  //**SMP assignment to sparse matrices***********************************************************
772  template< typename MT // Type of the target sparse matrix
773  , bool SO > // Storage order of the target sparse matrix
774  friend inline auto smpAssign( SparseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
775  -> EnableIf_t< UseSMPAssign_v<MT> >
776  {
778 
779  using TmpType = If_t< SO, OppositeType, ResultType >;
780 
787 
788  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
789  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
790 
791  const TmpType tmp( rhs );
792  smpAssign( ~lhs, tmp );
793  }
795  //**********************************************************************************************
796 
797  //**SMP addition assignment to dense matrices***************************************************
812  template< typename MT // Type of the target dense matrix
813  , bool SO > // Storage order of the target dense matrix
814  friend inline auto smpAddAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
815  -> EnableIf_t< UseSMPAssign_v<MT> >
816  {
818 
819  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
820  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
821 
822  LT A( rhs.lhs_ ); // Evaluation of the left-hand side dense matrix operand
823  RT B( rhs.rhs_ ); // Evaluation of the right-hand side dense matrix operand
824 
825  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
826  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
827  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
828  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
829  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
830  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
831 
832  smpAddAssign( ~lhs, map( A, B, rhs.op_ ) );
833  }
835  //**********************************************************************************************
836 
837  //**SMP addition assignment to sparse matrices**************************************************
838  // No special implementation for the SMP addition assignment to sparse matrices.
839  //**********************************************************************************************
840 
841  //**SMP subtraction assignment to dense matrices************************************************
856  template< typename MT // Type of the target dense matrix
857  , bool SO > // Storage order of the target dense matrix
858  friend inline auto smpSubAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
859  -> EnableIf_t< UseSMPAssign_v<MT> >
860  {
862 
863  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
864  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
865 
866  LT A( rhs.lhs_ ); // Evaluation of the left-hand side dense matrix operand
867  RT B( rhs.rhs_ ); // Evaluation of the right-hand side dense matrix operand
868 
869  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
870  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
871  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
872  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
873  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
874  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
875 
876  smpSubAssign( ~lhs, map( A, B, rhs.op_ ) );
877  }
879  //**********************************************************************************************
880 
881  //**SMP subtraction assignment to sparse matrices***********************************************
882  // No special implementation for the SMP subtraction assignment to sparse matrices.
883  //**********************************************************************************************
884 
885  //**SMP Schur product assignment to dense matrices**********************************************
900  template< typename MT // Type of the target dense matrix
901  , bool SO > // Storage order of the target dense matrix
902  friend inline auto smpSchurAssign( DenseMatrix<MT,SO>& lhs, const DMatTDMatMapExpr& rhs )
903  -> EnableIf_t< UseSMPAssign_v<MT> >
904  {
906 
907  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
908  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
909 
910  LT A( rhs.lhs_ ); // Evaluation of the left-hand side dense matrix operand
911  RT B( rhs.rhs_ ); // Evaluation of the right-hand side dense matrix operand
912 
913  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
914  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
915  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
916  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
917  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
918  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
919 
920  smpSchurAssign( ~lhs, map( A, B, rhs.op_ ) );
921  }
923  //**********************************************************************************************
924 
925  //**SMP Schur product assignment to sparse matrices*********************************************
926  // No special implementation for the SMP Schur product assignment to sparse matrices.
927  //**********************************************************************************************
928 
929  //**SMP multiplication assignment to dense matrices*********************************************
930  // No special implementation for the SMP multiplication assignment to dense matrices.
931  //**********************************************************************************************
932 
933  //**SMP multiplication assignment to sparse matrices********************************************
934  // No special implementation for the SMP multiplication assignment to sparse matrices.
935  //**********************************************************************************************
936 
937  //**Compile time checks*************************************************************************
943  //**********************************************************************************************
944 };
945 //*************************************************************************************************
946 
947 
948 
949 
950 //=================================================================================================
951 //
952 // GLOBAL FUNCTIONS
953 //
954 //=================================================================================================
955 
956 //*************************************************************************************************
970 template< typename MT1 // Type of the left-hand side dense matrix
971  , typename MT2 // Type of the right-hand side dense matrix
972  , typename OP // Type of the custom operation
973  , EnableIf_t< !IsSymmetric_v<MT1> && !IsSymmetric_v<MT2> >* = nullptr >
974 inline const DMatTDMatMapExpr<MT1,MT2,OP>
975  map_backend( const DenseMatrix<MT1,false>& lhs, const DenseMatrix<MT2,true>& rhs, OP op )
976 {
978 
979  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
980  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
981 
982  return DMatTDMatMapExpr<MT1,MT2,OP>( ~lhs, ~rhs, op );
983 }
985 //*************************************************************************************************
986 
987 
988 //*************************************************************************************************
1002 template< typename MT1 // Type of the left-hand side dense matrix
1003  , typename MT2 // Type of the right-hand side dense matrix
1004  , typename OP // Type of the custom operation
1005  , EnableIf_t< IsSymmetric_v<MT1> && !IsSymmetric_v<MT2> >* = nullptr >
1006 inline decltype(auto)
1007  map_backend( const DenseMatrix<MT1,false>& lhs, const DenseMatrix<MT2,true>& rhs, OP op )
1008 {
1010 
1011  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1012  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1013 
1014  return map( trans( ~lhs ), ~rhs, op );
1015 }
1017 //*************************************************************************************************
1018 
1019 
1020 //*************************************************************************************************
1035 template< typename MT1 // Type of the left-hand side dense matrix
1036  , typename MT2 // Type of the right-hand side dense matrix
1037  , typename OP // Type of the custom operation
1038  , EnableIf_t< IsSymmetric_v<MT2> >* = nullptr >
1039 inline decltype(auto)
1040  map_backend( const DenseMatrix<MT1,false>& lhs, const DenseMatrix<MT2,true>& rhs, OP op )
1041 {
1043 
1044  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1045  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1046 
1047  return map( ~lhs, trans( ~rhs ), op );
1048 }
1050 //*************************************************************************************************
1051 
1052 
1053 //*************************************************************************************************
1078 template< typename MT1 // Type of the left-hand side dense matrix
1079  , typename MT2 // Type of the right-hand side dense matrix
1080  , typename OP > // Type of the custom operation
1081 inline decltype(auto)
1082  map( const DenseMatrix<MT1,false>& lhs, const DenseMatrix<MT2,true>& rhs, OP op )
1083 {
1085 
1086  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1087  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1088  }
1089 
1090  return map_backend( ~lhs, ~rhs, op );
1091 }
1092 //*************************************************************************************************
1093 
1094 
1095 //*************************************************************************************************
1109 template< typename MT1 // Type of the left-hand side dense matrix
1110  , typename MT2 // Type of the right-hand side dense matrix
1111  , typename OP // Type of the custom operation
1112  , EnableIf_t< !IsSymmetric_v<MT1> && !IsSymmetric_v<MT2> >* = nullptr >
1113 inline const DMatTDMatMapExpr<MT1,MT2,OP>
1114  map_backend( const DenseMatrix<MT1,true>& lhs, const DenseMatrix<MT2,false>& rhs, OP op )
1115 {
1117 
1118  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1119  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1120 
1121  return DMatTDMatMapExpr<MT1,MT2,OP>( ~lhs, ~rhs, op );
1122 }
1124 //*************************************************************************************************
1125 
1126 
1127 //*************************************************************************************************
1141 template< typename MT1 // Type of the left-hand side dense matrix
1142  , typename MT2 // Type of the right-hand side dense matrix
1143  , typename OP // Type of the custom operation
1144  , EnableIf_t< !IsSymmetric_v<MT1> && IsSymmetric_v<MT2> >* = nullptr >
1145 inline decltype(auto)
1146  map_backend( const DenseMatrix<MT1,true>& lhs, const DenseMatrix<MT2,false>& rhs, OP op )
1147 {
1149 
1150  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1151  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1152 
1153  return map( ~lhs, trans( ~rhs ), op );
1154 }
1156 //*************************************************************************************************
1157 
1158 
1159 //*************************************************************************************************
1174 template< typename MT1 // Type of the left-hand side dense matrix
1175  , typename MT2 // Type of the right-hand side dense matrix
1176  , typename OP // Type of the custom operation
1177  , EnableIf_t< IsSymmetric_v<MT1> >* = nullptr >
1178 inline decltype(auto)
1179  map_backend( const DenseMatrix<MT1,true>& lhs, const DenseMatrix<MT2,false>& rhs, OP op )
1180 {
1182 
1183  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1184  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1185 
1186  return map( trans( ~lhs ), ~rhs, op );
1187 }
1189 //*************************************************************************************************
1190 
1191 
1192 //*************************************************************************************************
1217 template< typename MT1 // Type of the left-hand side dense matrix
1218  , typename MT2 // Type of the right-hand side dense matrix
1219  , typename OP > // Type of the custom operation
1220 inline decltype(auto)
1221  map( const DenseMatrix<MT1,true>& lhs, const DenseMatrix<MT2,false>& rhs, OP op )
1222 {
1224 
1225  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1226  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1227  }
1228 
1229  return map_backend( ~lhs, ~rhs, op );
1230 }
1231 //*************************************************************************************************
1232 
1233 
1234 
1235 
1236 //=================================================================================================
1237 //
1238 // ISALIGNED SPECIALIZATIONS
1239 //
1240 //=================================================================================================
1241 
1242 //*************************************************************************************************
1244 template< typename MT1, typename MT2, typename OP >
1245 struct IsAligned< DMatTDMatMapExpr<MT1,MT2,OP> >
1246  : public BoolConstant< IsAligned_v<MT1> && IsAligned_v<MT2> >
1247 {};
1249 //*************************************************************************************************
1250 
1251 
1252 
1253 
1254 //=================================================================================================
1255 //
1256 // ISPADDED SPECIALIZATIONS
1257 //
1258 //=================================================================================================
1259 
1260 //*************************************************************************************************
1262 template< typename MT1, typename MT2, typename OP >
1263 struct IsPadded< DMatTDMatMapExpr<MT1,MT2,OP> >
1264  : public BoolConstant< IsPadded_v<MT1> && IsPadded_v<MT2> >
1265 {};
1267 //*************************************************************************************************
1268 
1269 } // namespace blaze
1270 
1271 #endif
ResultType_t< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:100
MapTrait_t< RT1, RT2, OP > ResultType
Result type for expression template evaluations.
Definition: DMatTDMatMapExpr.h:144
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
CompositeType_t< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:105
Header file for auxiliary alias declarations.
Header file for kernel specific block sizes.
Base class for all binary matrix map expression templates.The MatMatMapExpr class serves as a tag for...
Definition: MatMatMapExpr.h:66
Header file for basic type definitions.
Operation operation() const
Returns a copy of the custom operation.
Definition: DMatTDMatMapExpr.h:271
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias declaration for the If class template.The If_t alias declaration provides a convenien...
Definition: If.h:109
ReturnType_t< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:104
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
Header file for the serial shim.
typename MapTrait< Args... >::Type MapTrait_t
Auxiliary alias declaration for the MapTrait class template.The MapTrait_t alias declaration provides...
Definition: MapTrait.h:160
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
RightOperand rhs_
Right-hand side dense matrix of the map expression.
Definition: DMatTDMatMapExpr.h:324
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatTDMatMapExpr.h:231
Operation op_
The custom unary operation.
Definition: DMatTDMatMapExpr.h:325
Header file for the Computation base class.
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTDMatMapExpr.h:145
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
ElementType_t< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:101
Constraint on the data type.
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
If_t< useAssign, const ResultType, const DMatTDMatMapExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatTDMatMapExpr.h:153
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatTDMatMapExpr.h:306
DMatTDMatMapExpr(const MT1 &lhs, const MT2 &rhs, OP op) noexcept
Constructor for the DMatTDMatMapExpr class.
Definition: DMatTDMatMapExpr.h:186
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatTDMatMapExpr.h:146
Header file for the DisableIf class template.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatTDMatMapExpr.h:316
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatTDMatMapExpr.h:283
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the DenseMatrix base class.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatTDMatMapExpr.h:241
Header file for all SIMD functionality.
Header file for the IsAligned type trait.
If_t< RequiresEvaluation_v< MT1 >, const RT1, CT1 > LT
Type for the assignment of the left-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:165
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: DMatTDMatMapExpr.h:147
Constraints on the storage order of matrix types.
If_t< RequiresEvaluation_v< MT2 >, const RT2, CT2 > RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:168
Header file for the exception macros of the math module.
static constexpr bool useAssign
Compilation switch for the serial evaluation strategy of the map expression.
Definition: DMatTDMatMapExpr.h:117
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsPadded type trait.
ReturnType_t< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:103
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_DIFFERENT_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:106
Expression object for the dense matrix/tranpose dense matrix map() function.The DMatTDMatMapExpr clas...
Definition: DMatTDMatMapExpr.h:93
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTDMatMapExpr.h:215
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
ResultType_t< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:99
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTDMatMapExpr.h:200
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
CompositeType_t< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:106
If_t< IsExpression_v< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:159
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:251
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatTDMatMapExpr.h:261
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DMatTDMatMapExpr.h:173
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
LeftOperand lhs_
Left-hand side dense matrix of the map expression.
Definition: DMatTDMatMapExpr.h:323
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:101
auto smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:194
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
OP Operation
Data type of the custom unary operation.
Definition: DMatTDMatMapExpr.h:162
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DMatTDMatMapExpr.h:176
decltype(std::declval< OP >()(std::declval< RN1 >(), std::declval< RN2 >())) ReturnType
Return type for expression template evaluations.
Definition: DMatTDMatMapExpr.h:150
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
Header file for the MatMatMapExpr base class.
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Header file for the IntegralConstant class template.
Header file for the map trait.
typename DisableIf< Condition, T >::Type DisableIf_t
Auxiliary type for the DisableIf class template.The DisableIf_t alias declaration provides a convenie...
Definition: DisableIf.h:138
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatTDMatMapExpr.h:296
ElementType_t< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:102
If_t< IsExpression_v< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTDMatMapExpr.h:156
System settings for the inline keywords.
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
decltype(auto) map(const DenseMatrix< MT1, SO > &lhs, const DenseMatrix< MT2, SO > &rhs, OP op)
Evaluates the given binary operation on each single element of the dense matrices lhs and rhs...
Definition: DMatDMatMapExpr.h:1110