Blaze  3.6
TSMatSMatSchurExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATSCHUREXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATSCHUREXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <utility>
44 #include <blaze/math/Aliases.h>
52 #include <blaze/math/Exception.h>
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.h>
78 #include <blaze/util/MaybeUnused.h>
79 #include <blaze/util/mpl/If.h>
80 #include <blaze/util/Types.h>
81 
82 
83 namespace blaze {
84 
85 //=================================================================================================
86 //
87 // CLASS TSMATSMATSCHUREXPR
88 //
89 //=================================================================================================
90 
91 //*************************************************************************************************
98 template< typename MT1 // Type of the left-hand side sparse matrix
99  , typename MT2 > // Type of the right-hand side sparse matrix
100 class TSMatSMatSchurExpr
101  : public SchurExpr< SparseMatrix< TSMatSMatSchurExpr<MT1,MT2>, false > >
102  , private Computation
103 {
104  private:
105  //**Type definitions****************************************************************************
112  //**********************************************************************************************
113 
114  //**Return type evaluation**********************************************************************
116 
121  static constexpr bool returnExpr = ( !IsTemporary_v<RN1> && !IsTemporary_v<RN2> );
122 
124  using ExprReturnType = decltype( std::declval<RN1>() * std::declval<RN2>() );
125  //**********************************************************************************************
126 
127  //**Serial evaluation strategy******************************************************************
129 
134  template< typename T1, typename T2 >
135  static constexpr bool UseSymmetricKernel_v =
136  ( ( StorageOrder_v<T1> != StorageOrder_v<T2> ) && IsSymmetric_v<T2> );
138  //**********************************************************************************************
139 
140  public:
141  //**Type definitions****************************************************************************
148 
151 
153  using CompositeType = const ResultType;
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  //**********************************************************************************************
161 
162  //**Compilation flags***************************************************************************
164  static constexpr bool smpAssignable = false;
165  //**********************************************************************************************
166 
167  //**Constructor*********************************************************************************
173  explicit inline TSMatSMatSchurExpr( const MT1& lhs, const MT2& rhs ) noexcept
174  : lhs_( lhs ) // Left-hand side sparse matrix of the Schur product expression
175  , rhs_( rhs ) // Right-hand side sparse matrix of the Schur product expression
176  {
177  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
178  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
179  }
180  //**********************************************************************************************
181 
182  //**Access operator*****************************************************************************
189  inline ReturnType operator()( size_t i, size_t j ) const {
190  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
191  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
192  return lhs_(i,j) * rhs_(i,j);
193  }
194  //**********************************************************************************************
195 
196  //**At function*********************************************************************************
204  inline ReturnType at( size_t i, size_t j ) const {
205  if( i >= lhs_.rows() ) {
206  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
207  }
208  if( j >= lhs_.columns() ) {
209  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
210  }
211  return (*this)(i,j);
212  }
213  //**********************************************************************************************
214 
215  //**Rows function*******************************************************************************
220  inline size_t rows() const noexcept {
221  return lhs_.rows();
222  }
223  //**********************************************************************************************
224 
225  //**Columns function****************************************************************************
230  inline size_t columns() const noexcept {
231  return lhs_.columns();
232  }
233  //**********************************************************************************************
234 
235  //**NonZeros function***************************************************************************
240  inline size_t nonZeros() const {
241  return min( lhs_.nonZeros(), rhs_.nonZeros() );
242  }
243  //**********************************************************************************************
244 
245  //**NonZeros function***************************************************************************
251  inline size_t nonZeros( size_t i ) const {
252  return min( lhs_.nonZeros(i), rhs_.nonZeros(i) );
253  }
254  //**********************************************************************************************
255 
256  //**Left operand access*************************************************************************
261  inline LeftOperand leftOperand() const noexcept {
262  return lhs_;
263  }
264  //**********************************************************************************************
265 
266  //**Right operand access************************************************************************
271  inline RightOperand rightOperand() const noexcept {
272  return rhs_;
273  }
274  //**********************************************************************************************
275 
276  //**********************************************************************************************
282  template< typename T >
283  inline bool canAlias( const T* alias ) const noexcept {
284  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
285  }
286  //**********************************************************************************************
287 
288  //**********************************************************************************************
294  template< typename T >
295  inline bool isAliased( const T* alias ) const noexcept {
296  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
297  }
298  //**********************************************************************************************
299 
300  private:
301  //**Member variables****************************************************************************
304  //**********************************************************************************************
305 
306  //**Assignment to row-major dense matrices******************************************************
319  template< typename MT > // Type of the target dense matrix
320  friend inline auto assign( DenseMatrix<MT,false>& lhs, const TSMatSMatSchurExpr& rhs )
322  {
324 
325  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
326  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
327 
328  // Evaluation of the left-hand side sparse matrix operand
329  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
330 
331  // Evaluation of the right-hand side sparse matrix operand
332  CT2 B( serial( rhs.rhs_ ) );
333 
334  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
335  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
336  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
337  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
338  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
339  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
340 
341  assign( ~lhs, A % B );
342  }
344  //**********************************************************************************************
345 
346  //**Assignment to column-major dense matrices***************************************************
359  template< typename MT > // Type of the target dense matrix
360  friend inline auto assign( DenseMatrix<MT,true>& lhs, const TSMatSMatSchurExpr& rhs )
362  {
364 
366 
367  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
368  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
369 
370  // Evaluation of the left-hand side sparse matrix operand
371  CT1 A( serial( rhs.lhs_ ) );
372 
373  // Evaluation of the right-hand side sparse matrix operand
374  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
375 
376  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
377  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
378  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
379  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
380  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
381  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
382 
383  assign( ~lhs, A % B );
384  }
386  //**********************************************************************************************
387 
388  //**Assignment to row-major sparse matrices*****************************************************
401  template< typename MT > // Type of the target sparse matrix
402  friend inline auto assign( SparseMatrix<MT,false>& lhs, const TSMatSMatSchurExpr& rhs )
403  -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
404  {
406 
407  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
408  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
409 
410  // Evaluation of the left-hand side sparse matrix operand
411  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
412 
413  // Evaluation of the right-hand side sparse matrix operand
414  CT2 B( serial( rhs.rhs_ ) );
415 
416  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
417  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
418  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
419  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
420  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
421  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
422 
423  assign( ~lhs, A % B );
424  }
426  //**********************************************************************************************
427 
428  //**Assignment to column-major sparse matrices**************************************************
441  template< typename MT > // Type of the target sparse matrix
442  friend inline auto assign( SparseMatrix<MT,true>& lhs, const TSMatSMatSchurExpr& rhs )
443  -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
444  {
446 
448 
449  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
450  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
451 
452  // Evaluation of the left-hand side sparse matrix operand
453  CT1 A( serial( rhs.lhs_ ) );
454 
455  // Evaluation of the right-hand side sparse matrix operand
456  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
457 
458  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
459  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
460  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
461  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
462  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
463  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
464 
465  assign( ~lhs, A % B );
466  }
468  //**********************************************************************************************
469 
470  //**Restructuring assignment to row-major matrices**********************************************
483  template< typename MT > // Type of the target matrix
484  friend inline auto assign( Matrix<MT,false>& lhs, const TSMatSMatSchurExpr& rhs )
485  -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
486  {
488 
489  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
490  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
491 
492  assign( ~lhs, trans( rhs.lhs_ ) % rhs.rhs_ );
493  }
495  //**********************************************************************************************
496 
497  //**Restructuring assignment to column-major matrices*******************************************
510  template< typename MT > // Type of the target matrix
511  friend inline auto assign( Matrix<MT,true>& lhs, const TSMatSMatSchurExpr& rhs )
512  -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
513  {
515 
517 
518  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
519  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
520 
521  assign( ~lhs, rhs.lhs_ % trans( rhs.rhs_ ) );
522  }
524  //**********************************************************************************************
525 
526  //**Addition assignment to row-major dense matrices*********************************************
539  template< typename MT > // Type of the target dense matrix
540  friend inline auto addAssign( DenseMatrix<MT,false>& lhs, const TSMatSMatSchurExpr& rhs )
541  -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
542  {
544 
545  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
546  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
547 
548  // Evaluation of the left-hand side sparse matrix operand
549  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
550 
551  // Evaluation of the right-hand side sparse matrix operand
552  CT2 B( serial( rhs.rhs_ ) );
553 
554  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
555  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
556  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
557  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
558  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
559  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
560 
561  addAssign( ~lhs, A % B );
562  }
564  //**********************************************************************************************
565 
566  //**Addition assignment to column-major dense matrices******************************************
579  template< typename MT > // Type of the target dense matrix
580  friend inline auto addAssign( DenseMatrix<MT,true>& lhs, const TSMatSMatSchurExpr& rhs )
581  -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
582  {
584 
586 
587  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
588  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
589 
590  // Evaluation of the left-hand side sparse matrix operand
591  CT1 A( serial( rhs.lhs_ ) );
592 
593  // Evaluation of the right-hand side sparse matrix operand
594  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
595 
596  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
597  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
598  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
599  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
600  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
601  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
602 
603  addAssign( ~lhs, A % B );
604  }
606  //**********************************************************************************************
607 
608  //**Restructuring addition assignment to row-major matrices*************************************
621  template< typename MT > // Type of the target matrix
622  friend inline auto addAssign( Matrix<MT,false>& lhs, const TSMatSMatSchurExpr& rhs )
623  -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
624  {
626 
627  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
628  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
629 
630  addAssign( ~lhs, trans( rhs.lhs_ ) % rhs.rhs_ );
631  }
633  //**********************************************************************************************
634 
635  //**Restructuring addition assignment to column-major matrices**********************************
648  template< typename MT > // Type of the target matrix
649  friend inline auto addAssign( Matrix<MT,true>& lhs, const TSMatSMatSchurExpr& rhs )
650  -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
651  {
653 
655 
656  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
657  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
658 
659  addAssign( ~lhs, rhs.lhs_ % trans( rhs.rhs_ ) );
660  }
662  //**********************************************************************************************
663 
664  //**Addition assignment to sparse matrices******************************************************
665  // No special implementation for the addition assignment to sparse matrices.
666  //**********************************************************************************************
667 
668  //**Subtraction assignment to row-major dense matrices******************************************
681  template< typename MT > // Type of the target dense matrix
682  friend inline auto subAssign( DenseMatrix<MT,false>& lhs, const TSMatSMatSchurExpr& rhs )
683  -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
684  {
686 
687  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
688  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
689 
690  // Evaluation of the left-hand side sparse matrix operand
691  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
692 
693  // Evaluation of the right-hand side sparse matrix operand
694  CT2 B( serial( rhs.rhs_ ) );
695 
696  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
697  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
698  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
699  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
700  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
701  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
702 
703  subAssign( ~lhs, A % B );
704  }
706  //**********************************************************************************************
707 
708  //**Subtraction assignment to column-major dense matrices***************************************
721  template< typename MT > // Type of the target dense matrix
722  friend inline auto subAssign( DenseMatrix<MT,true>& lhs, const TSMatSMatSchurExpr& rhs )
723  -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
724  {
726 
728 
729  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
730  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
731 
732  // Evaluation of the left-hand side sparse matrix operand
733  CT1 A( serial( rhs.lhs_ ) );
734 
735  // Evaluation of the right-hand side sparse matrix operand
736  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
737 
738  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
739  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
740  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
741  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
742  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
743  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
744 
745  subAssign( ~lhs, A % B );
746  }
748  //**********************************************************************************************
749 
750  //**Restructuring subtraction assignment to row-major matrices**********************************
763  template< typename MT > // Type of the target matrix
764  friend inline auto subAssign( Matrix<MT,false>& lhs, const TSMatSMatSchurExpr& rhs )
765  -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
766  {
768 
769  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
770  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
771 
772  subAssign( ~lhs, trans( rhs.lhs_ ) % rhs.rhs_ );
773  }
775  //**********************************************************************************************
776 
777  //**Restructuring subtraction assignment to column-major matrices*******************************
790  template< typename MT > // Type of the target matrix
791  friend inline auto subAssign( Matrix<MT,true>& lhs, const TSMatSMatSchurExpr& rhs )
792  -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
793  {
795 
797 
798  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
799  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
800 
801  subAssign( ~lhs, rhs.lhs_ % trans( rhs.rhs_ ) );
802  }
804  //**********************************************************************************************
805 
806  //**Subtraction assignment to sparse matrices***************************************************
807  // No special implementation for the subtraction assignment to sparse matrices.
808  //**********************************************************************************************
809 
810  //**Schur product assignment to row-major dense matrices****************************************
823  template< typename MT > // Type of the target dense matrix
824  friend inline auto schurAssign( DenseMatrix<MT,false>& lhs, const TSMatSMatSchurExpr& rhs )
825  -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
826  {
828 
829  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
830  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
831 
832  // Evaluation of the left-hand side sparse matrix operand
833  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
834 
835  // Evaluation of the right-hand side sparse matrix operand
836  CT2 B( serial( rhs.rhs_ ) );
837 
838  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
839  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
840  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
841  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
842  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
843  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
844 
845  schurAssign( ~lhs, A % B );
846  }
848  //**********************************************************************************************
849 
850  //**Schur product assignment to column-major dense matrices*************************************
863  template< typename MT > // Type of the target dense matrix
864  friend inline auto schurAssign( DenseMatrix<MT,true>& lhs, const TSMatSMatSchurExpr& rhs )
865  -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
866  {
868 
870 
871  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
872  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
873 
874  // Evaluation of the left-hand side sparse matrix operand
875  CT1 A( serial( rhs.lhs_ ) );
876 
877  // Evaluation of the right-hand side sparse matrix operand
878  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
879 
880  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
881  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
882  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
883  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
884  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
885  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
886 
887  schurAssign( ~lhs, A % B );
888  }
890  //**********************************************************************************************
891 
892  //**Restructuring Schur product assignment to row-major matrices********************************
905  template< typename MT > // Type of the target matrix
906  friend inline auto schurAssign( Matrix<MT,false>& lhs, const TSMatSMatSchurExpr& rhs )
907  -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
908  {
910 
911  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
912  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
913 
914  schurAssign( ~lhs, trans( rhs.lhs_ ) % rhs.rhs_ );
915  }
917  //**********************************************************************************************
918 
919  //**Restructuring Schur product assignment to column-major matrices*****************************
932  template< typename MT > // Type of the target matrix
933  friend inline auto schurAssign( Matrix<MT,true>& lhs, const TSMatSMatSchurExpr& rhs )
934  -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
935  {
937 
939 
940  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
941  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
942 
943  schurAssign( ~lhs, rhs.lhs_ % trans( rhs.rhs_ ) );
944  }
946  //**********************************************************************************************
947 
948  //**Multiplication assignment to dense matrices*************************************************
949  // No special implementation for the multiplication assignment to dense matrices.
950  //**********************************************************************************************
951 
952  //**Multiplication assignment to sparse matrices************************************************
953  // No special implementation for the multiplication assignment to sparse matrices.
954  //**********************************************************************************************
955 
956  //**SMP assignment to dense matrices************************************************************
957  // No special implementation for the SMP assignment to dense matrices.
958  //**********************************************************************************************
959 
960  //**SMP assignment to sparse matrices***********************************************************
961  // No special implementation for the SMP assignment to sparse matrices.
962  //**********************************************************************************************
963 
964  //**SMP addition assignment to dense matrices***************************************************
965  // No special implementation for the SMP addition assignment to dense matrices.
966  //**********************************************************************************************
967 
968  //**SMP addition assignment to sparse matrices**************************************************
969  // No special implementation for the SMP addition assignment to sparse matrices.
970  //**********************************************************************************************
971 
972  //**SMP subtraction assignment to dense matrices************************************************
973  // No special implementation for the SMP subtraction assignment to dense matrices.
974  //**********************************************************************************************
975 
976  //**SMP subtraction assignment to sparse matrices***********************************************
977  // No special implementation for the SMP subtraction assignment to sparse matrices.
978  //**********************************************************************************************
979 
980  //**SMP Schur product assignment to dense matrices**********************************************
993  template< typename MT // Type of the target dense matrix
994  , bool SO > // Storage order of the target dense matrix
995  friend inline void smpSchurAssign( DenseMatrix<MT,SO>& lhs, const TSMatSMatSchurExpr& rhs )
996  {
998 
999  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
1000  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
1001 
1002  smpSchurAssign( ~lhs, rhs.lhs_ );
1003  smpSchurAssign( ~lhs, rhs.rhs_ );
1004  }
1006  //**********************************************************************************************
1007 
1008  //**SMP Schur product assignment to sparse matrices*********************************************
1009  // No special implementation for the SMP Schur product assignment to sparse matrices.
1010  //**********************************************************************************************
1011 
1012  //**SMP multiplication assignment to dense matrices*********************************************
1013  // No special implementation for the SMP multiplication assignment to dense matrices.
1014  //**********************************************************************************************
1015 
1016  //**SMP multiplication assignment to sparse matrices********************************************
1017  // No special implementation for the SMP multiplication assignment to sparse matrices.
1018  //**********************************************************************************************
1019 
1020  //**Compile time checks*************************************************************************
1030  //**********************************************************************************************
1031 };
1032 //*************************************************************************************************
1033 
1034 
1035 
1036 
1037 //=================================================================================================
1038 //
1039 // GLOBAL BINARY ARITHMETIC OPERATORS
1040 //
1041 //=================================================================================================
1042 
1043 //*************************************************************************************************
1056 template< typename MT1 // Type of the left-hand side sparse matrix
1057  , typename MT2 // Type of the right-hand side sparse matrix
1058  , DisableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
1059  ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) ||
1060  ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
1061  ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
1062  ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
1063  ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
1064  ( IsZero_v<MT1> || IsZero_v<MT2> ) >* = nullptr >
1065 inline const TSMatSMatSchurExpr<MT1,MT2>
1066  tsmatsmatschur( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
1067 {
1069 
1070  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1071  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1072 
1073  return TSMatSMatSchurExpr<MT1,MT2>( ~lhs, ~rhs );
1074 }
1076 //*************************************************************************************************
1077 
1078 
1079 //*************************************************************************************************
1093 template< typename MT1 // Type of the left-hand side sparse matrix
1094  , typename MT2 // Type of the right-hand side sparse matrix
1095  , EnableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
1096  ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) >* = nullptr >
1097 inline decltype(auto)
1098  tsmatsmatschur( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
1099 {
1101 
1102  MAYBE_UNUSED( rhs );
1103 
1104  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1105  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1106 
1107  using ReturnType = const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
1108 
1111 
1112  return ReturnType( (~lhs).rows() );
1113 }
1115 //*************************************************************************************************
1116 
1117 
1118 //*************************************************************************************************
1132 template< typename MT1 // Type of the left-hand side sparse matrix
1133  , typename MT2 // Type of the right-hand side sparse matrix
1134  , EnableIf_t< ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
1135  ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
1136  ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
1137  ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
1138  ( IsZero_v<MT1> || IsZero_v<MT2> ) >* = nullptr >
1139 inline decltype(auto)
1140  tsmatsmatschur( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
1141 {
1143 
1144  MAYBE_UNUSED( rhs );
1145 
1146  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1147  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1148 
1149  using ReturnType = const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
1150 
1152  BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE( ReturnType );
1153 
1154  return ReturnType( (~lhs).rows(), (~lhs).columns() );
1155 }
1157 //*************************************************************************************************
1158 
1159 
1160 //*************************************************************************************************
1189 template< typename MT1 // Type of the left-hand side sparse matrix
1190  , typename MT2 > // Type of the right-hand side sparse matrix
1191 inline decltype(auto)
1192  operator%( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
1193 {
1195 
1196  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1197  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1198  }
1199 
1200  return tsmatsmatschur( ~lhs, ~rhs );
1201 }
1202 //*************************************************************************************************
1203 
1204 } // namespace blaze
1205 
1206 #endif
Constraint on the data type.
#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
Header file for auxiliary alias declarations.
Headerfile for the generic min algorithm.
#define BLAZE_CONSTRAINT_MUST_BE_IDENTITY_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not an identity matrix type,...
Definition: Identity.h:60
Header file for the Schur product trait.
Header file for the IsUniUpper type trait.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatSMatSchurExpr.h:164
Header file for basic type definitions.
Header file for all forward declarations for sparse vectors and matrices.
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias template for the If class template.The If_t alias template provides a convenient shor...
Definition: If.h:109
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:106
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.
Constraint on the data type.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatSMatSchurExpr.h:230
Header file for the MAYBE_UNUSED function template.
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:145
Header file for the Computation base class.
Constraints on the storage order of matrix types.
ReturnType_t< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:109
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatSMatSchurExpr.h:220
LeftOperand lhs_
Left-hand side sparse matrix of the Schur product expression.
Definition: TSMatSMatSchurExpr.h:302
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.The ReturnType_t alias declaration provides ...
Definition: Aliases.h:410
Header file for the IsUniLower type trait.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatSchurExpr.h:251
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_SCHUREXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid Schur product,...
Definition: SchurExpr.h:103
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
RightOperand rhs_
Right-hand side sparse matrix of the Schur product expression.
Definition: TSMatSMatSchurExpr.h:303
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatSchurExpr.h:271
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes....
Definition: DenseMatrix.h:81
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes....
Definition: Forward.h:145
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatSMatSchurExpr.h:147
Header file for the SparseMatrix base class.
Constraint on the data type.
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:146
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
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
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.
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:110
#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
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is not a zero vector or matrix type,...
Definition: Zero.h:61
decltype(auto) min(const DenseMatrix< MT1, SO1 > &lhs, const DenseMatrix< MT2, SO2 > &rhs)
Computes the componentwise minimum of the dense matrices lhs and rhs.
Definition: DMatDMatMapExpr.h:1162
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatSchurExpr.h:189
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatSchurExpr.h:295
Header file for the IsLower type trait.
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
If_t< IsExpression_v< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:156
Header file for the exception macros of the math module.
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:107
If_t< IsExpression_v< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:159
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatSMatSchurExpr.h:240
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type,...
Definition: Symmetric.h:79
#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
TSMatSMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatSMatSchurExpr class.
Definition: TSMatSMatSchurExpr.h:173
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.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatSchurExpr.h:153
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
SchurTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:144
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatSchurExpr.h:261
Header file for the SchurExpr base class.
typename SchurTrait< T1, T2 >::Type SchurTrait_t
Auxiliary alias declaration for the SchurTrait class template.The SchurTrait_t alias declaration prov...
Definition: SchurTrait.h:163
Header file for the IsZero type trait.
#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
Header file for all forward declarations for expression class templates.
Constraint on the data type.
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
ReturnType_t< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:108
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
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: TSMatSMatSchurExpr.h:121
decltype(std::declval< RN1 >() *std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatSMatSchurExpr.h:124
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatSchurExpr.h:111
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatSMatSchurExpr.h:204
Header file for the IsComputation type trait class.
Header file for the StorageOrder type trait.
Header file for the IntegralConstant class template.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatSchurExpr.h:283
Header file for the IsUpper type 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
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is a zero vector or matrix type,...
Definition: Zero.h:81
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression,...
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type,...
Definition: SparseMatrix.h:61
Expression object for transpose sparse matrix-sparse matrix Schur products.The TSMatSMatSchurExpr cla...
Definition: Forward.h:185
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatSMatSchurExpr.h:150
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Constraint on the data type.