SMatTSMatSchurExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATSCHUREXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATSCHUREXPR_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/mpl/If.h>
79 #include <blaze/util/Types.h>
81 #include <blaze/util/Unused.h>
82 
83 
84 namespace blaze {
85 
86 //=================================================================================================
87 //
88 // CLASS SMATTSMATSCHUREXPR
89 //
90 //=================================================================================================
91 
92 //*************************************************************************************************
99 template< typename MT1 // Type of the left-hand side sparse matrix
100  , typename MT2 > // Type of the right-hand side sparse matrix
101 class SMatTSMatSchurExpr
102  : public SchurExpr< SparseMatrix< SMatTSMatSchurExpr<MT1,MT2>, false > >
103  , private Computation
104 {
105  private:
106  //**Type definitions****************************************************************************
113  //**********************************************************************************************
114 
115  //**Return type evaluation**********************************************************************
117 
122  static constexpr bool returnExpr = ( !IsTemporary_v<RN1> && !IsTemporary_v<RN2> );
123 
125  using ExprReturnType = decltype( std::declval<RN1>() * std::declval<RN2>() );
126  //**********************************************************************************************
127 
128  //**Serial evaluation strategy******************************************************************
130 
135  template< typename T1, typename T2 >
136  static constexpr bool UseSymmetricKernel_v =
137  ( IsVoid_v< EnableIf_t< StorageOrder_v<T1> != StorageOrder_v<T2> > > && IsSymmetric_v<T2> );
139  //**********************************************************************************************
140 
141  public:
142  //**Type definitions****************************************************************************
149 
152 
154  using CompositeType = const ResultType;
155 
157  using LeftOperand = If_t< IsExpression_v<MT1>, const MT1, const MT1& >;
158 
160  using RightOperand = If_t< IsExpression_v<MT2>, const MT2, const MT2& >;
161  //**********************************************************************************************
162 
163  //**Compilation flags***************************************************************************
165  static constexpr bool smpAssignable = false;
166  //**********************************************************************************************
167 
168  //**Constructor*********************************************************************************
174  explicit inline SMatTSMatSchurExpr( const MT1& lhs, const MT2& rhs ) noexcept
175  : lhs_( lhs ) // Left-hand side sparse matrix of the Schur product expression
176  , rhs_( rhs ) // Right-hand side sparse matrix of the Schur product expression
177  {
178  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
179  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
180  }
181  //**********************************************************************************************
182 
183  //**Access operator*****************************************************************************
190  inline ReturnType operator()( size_t i, size_t j ) const {
191  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
192  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
193  return lhs_(i,j) * rhs_(i,j);
194  }
195  //**********************************************************************************************
196 
197  //**At function*********************************************************************************
205  inline ReturnType at( size_t i, size_t j ) const {
206  if( i >= lhs_.rows() ) {
207  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
208  }
209  if( j >= lhs_.columns() ) {
210  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
211  }
212  return (*this)(i,j);
213  }
214  //**********************************************************************************************
215 
216  //**Rows function*******************************************************************************
221  inline size_t rows() const noexcept {
222  return lhs_.rows();
223  }
224  //**********************************************************************************************
225 
226  //**Columns function****************************************************************************
231  inline size_t columns() const noexcept {
232  return lhs_.columns();
233  }
234  //**********************************************************************************************
235 
236  //**NonZeros function***************************************************************************
241  inline size_t nonZeros() const {
242  return min( lhs_.nonZeros(), rhs_.nonZeros() );
243  }
244  //**********************************************************************************************
245 
246  //**NonZeros function***************************************************************************
252  inline size_t nonZeros( size_t i ) const {
253  return min( lhs_.nonZeros(i), rhs_.nonZeros(i) );
254  }
255  //**********************************************************************************************
256 
257  //**Left operand access*************************************************************************
262  inline LeftOperand leftOperand() const noexcept {
263  return lhs_;
264  }
265  //**********************************************************************************************
266 
267  //**Right operand access************************************************************************
272  inline RightOperand rightOperand() const noexcept {
273  return rhs_;
274  }
275  //**********************************************************************************************
276 
277  //**********************************************************************************************
283  template< typename T >
284  inline bool canAlias( const T* alias ) const noexcept {
285  return ( lhs_.canAlias( alias ) || 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  private:
302  //**Member variables****************************************************************************
305  //**********************************************************************************************
306 
307  //**Assignment to row-major dense matrices******************************************************
320  template< typename MT > // Type of the target dense matrix
321  friend inline auto assign( DenseMatrix<MT,false>& lhs, const SMatTSMatSchurExpr& rhs )
323  {
325 
326  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
327  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
328 
329  // Evaluation of the left-hand side sparse matrix operand
330  CT1 A( serial( rhs.lhs_ ) );
331 
332  // Evaluation of the right-hand side sparse matrix operand
333  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
334 
335  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
336  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
337  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
338  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
339  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
340  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
341 
342  assign( ~lhs, A % B );
343  }
345  //**********************************************************************************************
346 
347  //**Assignment to column-major dense matrices***************************************************
360  template< typename MT > // Type of the target dense matrix
361  friend inline auto assign( DenseMatrix<MT,true>& lhs, const SMatTSMatSchurExpr& rhs )
363  {
365 
367 
368  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
369  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
370 
371  // Evaluation of the left-hand side sparse matrix operand
372  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
373 
374  // Evaluation of the right-hand side sparse matrix operand
375  CT2 B( serial( rhs.rhs_ ) );
376 
377  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
378  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
379  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
380  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
381  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
382  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
383 
384  assign( ~lhs, A % B );
385  }
387  //**********************************************************************************************
388 
389  //**Assignment to row-major sparse matrices*****************************************************
402  template< typename MT > // Type of the target sparse matrix
403  friend inline auto assign( SparseMatrix<MT,false>& lhs, const SMatTSMatSchurExpr& rhs )
404  -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
405  {
407 
408  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
409  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
410 
411  // Evaluation of the left-hand side sparse matrix operand
412  CT1 A( serial( rhs.lhs_ ) );
413 
414  // Evaluation of the right-hand side sparse matrix operand
415  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
416 
417  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
418  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
419  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
420  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
421  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
422  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
423 
424  assign( ~lhs, A % B );
425  }
427  //**********************************************************************************************
428 
429  //**Assignment to column-major sparse matrices**************************************************
442  template< typename MT > // Type of the target sparse matrix
443  friend inline auto assign( SparseMatrix<MT,true>& lhs, const SMatTSMatSchurExpr& rhs )
444  -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
445  {
447 
449 
450  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
451  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
452 
453  // Evaluation of the left-hand side sparse matrix operand
454  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
455 
456  // Evaluation of the right-hand side sparse matrix operand
457  CT2 B( serial( rhs.rhs_ ) );
458 
459  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
460  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
461  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
462  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
463  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
464  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
465 
466  assign( ~lhs, A % B );
467  }
469  //**********************************************************************************************
470 
471  //**Restructuring assignment to row-major matrices**********************************************
484  template< typename MT > // Type of the target sparse matrix
485  friend inline auto assign( Matrix<MT,false>& lhs, const SMatTSMatSchurExpr& rhs )
486  -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
487  {
489 
490  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
491  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
492 
493  assign( ~lhs, rhs.lhs_ % trans( rhs.rhs_ ) );
494  }
496  //**********************************************************************************************
497 
498  //**Restructuring assignment to column-major matrices*******************************************
511  template< typename MT > // Type of the target sparse matrix
512  friend inline auto assign( Matrix<MT,true>& lhs, const SMatTSMatSchurExpr& rhs )
513  -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
514  {
516 
518 
519  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
520  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
521 
522  assign( ~lhs, trans( rhs.lhs_ ) % rhs.rhs_ );
523  }
525  //**********************************************************************************************
526 
527  //**Addition assignment to row-major dense matrices*********************************************
540  template< typename MT > // Type of the target dense matrix
541  friend inline auto addAssign( DenseMatrix<MT,false>& lhs, const SMatTSMatSchurExpr& rhs )
542  -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
543  {
545 
546  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
547  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
548 
549  // Evaluation of the left-hand side sparse matrix operand
550  CT1 A( serial( rhs.lhs_ ) );
551 
552  // Evaluation of the right-hand side sparse matrix operand
553  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
554 
555  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
556  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
557  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
558  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
559  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
560  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
561 
562  addAssign( ~lhs, A % B );
563  }
565  //**********************************************************************************************
566 
567  //**Addition assignment to column-major dense matrices******************************************
580  template< typename MT > // Type of the target dense matrix
581  friend inline auto addAssign( DenseMatrix<MT,true>& lhs, const SMatTSMatSchurExpr& rhs )
582  -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
583  {
585 
587 
588  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
589  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
590 
591  // Evaluation of the left-hand side sparse matrix operand
592  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
593 
594  // Evaluation of the right-hand side sparse matrix operand
595  CT2 B( serial( rhs.rhs_ ) );
596 
597  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
598  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
599  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
600  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
601  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
602  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
603 
604  addAssign( ~lhs, A % B );
605  }
607  //**********************************************************************************************
608 
609  //**Restructuring addition assignment to row-major matrices*************************************
622  template< typename MT > // Type of the target sparse matrix
623  friend inline auto addAssign( Matrix<MT,false>& lhs, const SMatTSMatSchurExpr& rhs )
624  -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
625  {
627 
628  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
629  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
630 
631  addAssign( ~lhs, rhs.lhs_ % trans( rhs.rhs_ ) );
632  }
634  //**********************************************************************************************
635 
636  //**Restructuring addition assignment to column-major matrices**********************************
649  template< typename MT > // Type of the target sparse matrix
650  friend inline auto addAssign( Matrix<MT,true>& lhs, const SMatTSMatSchurExpr& rhs )
651  -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
652  {
654 
656 
657  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
658  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
659 
660  addAssign( ~lhs, trans( rhs.lhs_ ) % rhs.rhs_ );
661  }
663  //**********************************************************************************************
664 
665  //**Addition assignment to sparse matrices******************************************************
666  // No special implementation for the addition assignment to sparse matrices.
667  //**********************************************************************************************
668 
669  //**Subtraction assignment to row-major dense matrices******************************************
682  template< typename MT > // Type of the target dense matrix
683  friend inline auto subAssign( DenseMatrix<MT,false>& lhs, const SMatTSMatSchurExpr& rhs )
684  -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
685  {
687 
688  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
689  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
690 
691  // Evaluation of the left-hand side sparse matrix operand
692  CT1 A( serial( rhs.lhs_ ) );
693 
694  // Evaluation of the right-hand side sparse matrix operand
695  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
696 
697  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
698  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
699  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
700  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
701  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
702  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
703 
704  subAssign( ~lhs, A % B );
705  }
707  //**********************************************************************************************
708 
709  //**Subtraction assignment to column-major dense matrices***************************************
722  template< typename MT > // Type of the target dense matrix
723  friend inline auto subAssign( DenseMatrix<MT,true>& lhs, const SMatTSMatSchurExpr& rhs )
724  -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
725  {
727 
729 
730  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
731  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
732 
733  // Evaluation of the left-hand side sparse matrix operand
734  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
735 
736  // Evaluation of the right-hand side sparse matrix operand
737  CT2 B( serial( rhs.rhs_ ) );
738 
739  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
740  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
741  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
742  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
743  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
744  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
745 
746  subAssign( ~lhs, A % B );
747  }
749  //**********************************************************************************************
750 
751  //**Restructuring subtraction assignment to row-major matrices**********************************
764  template< typename MT > // Type of the target sparse matrix
765  friend inline auto subAssign( Matrix<MT,false>& lhs, const SMatTSMatSchurExpr& rhs )
766  -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
767  {
769 
770  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
771  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
772 
773  subAssign( ~lhs, rhs.lhs_ % trans( rhs.rhs_ ) );
774  }
776  //**********************************************************************************************
777 
778  //**Restructuring subtraction assignment to column-major matrices*******************************
791  template< typename MT > // Type of the target sparse matrix
792  friend inline auto subAssign( Matrix<MT,true>& lhs, const SMatTSMatSchurExpr& rhs )
793  -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
794  {
796 
798 
799  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
800  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
801 
802  subAssign( ~lhs, trans( rhs.lhs_ ) % rhs.rhs_ );
803  }
805  //**********************************************************************************************
806 
807  //**Subtraction assignment to sparse matrices***************************************************
808  // No special implementation for the subtraction assignment to sparse matrices.
809  //**********************************************************************************************
810 
811  //**Schur product assignment to row-major dense matrices****************************************
824  template< typename MT > // Type of the target dense matrix
825  friend inline auto schurAssign( DenseMatrix<MT,false>& lhs, const SMatTSMatSchurExpr& rhs )
826  -> DisableIf_t< UseSymmetricKernel_v<MT,MT2> >
827  {
829 
830  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
831  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
832 
833  // Evaluation of the left-hand side sparse matrix operand
834  CT1 A( serial( rhs.lhs_ ) );
835 
836  // Evaluation of the right-hand side sparse matrix operand
837  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
838 
839  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
840  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
841  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
842  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
843  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
844  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
845 
846  schurAssign( ~lhs, A % B );
847  }
849  //**********************************************************************************************
850 
851  //**Schur product assignment to column-major dense matrices*************************************
864  template< typename MT > // Type of the target dense matrix
865  friend inline auto schurAssign( DenseMatrix<MT,true>& lhs, const SMatTSMatSchurExpr& rhs )
866  -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
867  {
869 
871 
872  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
873  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
874 
875  // Evaluation of the left-hand side sparse matrix operand
876  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
877 
878  // Evaluation of the right-hand side sparse matrix operand
879  CT2 B( serial( rhs.rhs_ ) );
880 
881  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
882  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
883  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
884  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
885  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
886  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
887 
888  schurAssign( ~lhs, A % B );
889  }
891  //**********************************************************************************************
892 
893  //**Restructuring Schur product assignment to row-major matrices********************************
906  template< typename MT > // Type of the target sparse matrix
907  friend inline auto schurAssign( Matrix<MT,false>& lhs, const SMatTSMatSchurExpr& rhs )
908  -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
909  {
911 
912  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
913  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
914 
915  schurAssign( ~lhs, rhs.lhs_ % trans( rhs.rhs_ ) );
916  }
918  //**********************************************************************************************
919 
920  //**Restructuring Schur product assignment to column-major matrices*****************************
933  template< typename MT > // Type of the target sparse matrix
934  friend inline auto schurAssign( Matrix<MT,true>& lhs, const SMatTSMatSchurExpr& rhs )
935  -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
936  {
938 
940 
941  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
942  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
943 
944  schurAssign( ~lhs, trans( rhs.lhs_ ) % rhs.rhs_ );
945  }
947  //**********************************************************************************************
948 
949  //**Multiplication assignment to dense matrices*************************************************
950  // No special implementation for the multiplication assignment to dense matrices.
951  //**********************************************************************************************
952 
953  //**Multiplication assignment to sparse matrices************************************************
954  // No special implementation for the multiplication assignment to sparse matrices.
955  //**********************************************************************************************
956 
957  //**SMP assignment to dense matrices************************************************************
958  // No special implementation for the SMP assignment to dense matrices.
959  //**********************************************************************************************
960 
961  //**SMP assignment to sparse matrices***********************************************************
962  // No special implementation for the SMP assignment to sparse matrices.
963  //**********************************************************************************************
964 
965  //**SMP addition assignment to dense matrices***************************************************
966  // No special implementation for the SMP addition assignment to dense matrices.
967  //**********************************************************************************************
968 
969  //**SMP addition assignment to sparse matrices**************************************************
970  // No special implementation for the SMP addition assignment to sparse matrices.
971  //**********************************************************************************************
972 
973  //**SMP subtraction assignment to dense matrices************************************************
974  // No special implementation for the SMP subtraction assignment to dense matrices.
975  //**********************************************************************************************
976 
977  //**SMP subtraction assignment to sparse matrices***********************************************
978  // No special implementation for the SMP subtraction assignment to sparse matrices.
979  //**********************************************************************************************
980 
981  //**SMP Schur product assignment to dense matrices**********************************************
994  template< typename MT // Type of the target dense matrix
995  , bool SO > // Storage order of the target dense matrix
996  friend inline void smpSchurAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatSchurExpr& rhs )
997  {
999 
1000  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
1001  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
1002 
1003  smpSchurAssign( ~lhs, rhs.lhs_ );
1004  smpSchurAssign( ~lhs, rhs.rhs_ );
1005  }
1007  //**********************************************************************************************
1008 
1009  //**SMP Schur product assignment to sparse matrices*********************************************
1010  // No special implementation for the SMP Schur product assignment to sparse matrices.
1011  //**********************************************************************************************
1012 
1013  //**SMP multiplication assignment to dense matrices*********************************************
1014  // No special implementation for the SMP multiplication assignment to dense matrices.
1015  //**********************************************************************************************
1016 
1017  //**SMP multiplication assignment to sparse matrices********************************************
1018  // No special implementation for the SMP multiplication assignment to sparse matrices.
1019  //**********************************************************************************************
1020 
1021  //**Compile time checks*************************************************************************
1031  //**********************************************************************************************
1032 };
1033 //*************************************************************************************************
1034 
1035 
1036 
1037 
1038 //=================================================================================================
1039 //
1040 // GLOBAL BINARY ARITHMETIC OPERATORS
1041 //
1042 //=================================================================================================
1043 
1044 //*************************************************************************************************
1057 template< typename MT1 // Type of the left-hand side sparse matrix
1058  , typename MT2 // Type of the right-hand side sparse matrix
1059  , DisableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
1060  ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) ||
1061  ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
1062  ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
1063  ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
1064  ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
1065  ( IsZero_v<MT1> || IsZero_v<MT2> ) >* = nullptr >
1066 inline const SMatTSMatSchurExpr<MT1,MT2>
1067  smattsmatschur( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
1068 {
1070 
1071  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1072  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1073 
1074  return SMatTSMatSchurExpr<MT1,MT2>( ~lhs, ~rhs );
1075 }
1077 //*************************************************************************************************
1078 
1079 
1080 //*************************************************************************************************
1094 template< typename MT1 // Type of the left-hand side sparse matrix
1095  , typename MT2 // Type of the right-hand side sparse matrix
1096  , EnableIf_t< ( IsUniLower_v<MT1> && IsUniUpper_v<MT2> ) ||
1097  ( IsUniUpper_v<MT1> && IsUniLower_v<MT2> ) >* = nullptr >
1098 inline decltype(auto)
1099  smattsmatschur( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
1100 {
1102 
1103  UNUSED_PARAMETER( rhs );
1104 
1105  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1106  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1107 
1108  using ReturnType = const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
1109 
1112 
1113  return ReturnType( (~lhs).rows() );
1114 }
1116 //*************************************************************************************************
1117 
1118 
1119 //*************************************************************************************************
1133 template< typename MT1 // Type of the left-hand side sparse matrix
1134  , typename MT2 // Type of the right-hand side sparse matrix
1135  , EnableIf_t< ( IsStrictlyLower_v<MT1> && IsUpper_v<MT2> ) ||
1136  ( IsStrictlyUpper_v<MT1> && IsLower_v<MT2> ) ||
1137  ( IsLower_v<MT1> && IsStrictlyUpper_v<MT2> ) ||
1138  ( IsUpper_v<MT1> && IsStrictlyLower_v<MT2> ) ||
1139  ( IsZero_v<MT1> || IsZero_v<MT2> ) >* = nullptr >
1140 inline decltype(auto)
1141  smattsmatschur( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
1142 {
1144 
1145  UNUSED_PARAMETER( rhs );
1146 
1147  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
1148  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
1149 
1150  using ReturnType = const SchurTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
1151 
1154 
1155  return ReturnType( (~lhs).rows(), (~lhs).columns() );
1156 }
1158 //*************************************************************************************************
1159 
1160 
1161 //*************************************************************************************************
1190 template< typename MT1 // Type of the left-hand side sparse matrix
1191  , typename MT2 > // Type of the right-hand side sparse matrix
1192 inline decltype(auto)
1193  operator%( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
1194 {
1196 
1197  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1198  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1199  }
1200 
1201  return smattsmatschur( ~lhs, ~rhs );
1202 }
1203 //*************************************************************************************************
1204 
1205 } // namespace blaze
1206 
1207 #endif
Constraint on the data type.
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:112
#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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatSchurExpr.h:296
#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 UNUSED_PARAMETER function template.
Header file for the IsUniUpper type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatSchurExpr.h:272
Header file for basic type definitions.
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
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: SMatTSMatSchurExpr.h:122
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.
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatSchurExpr.h:148
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatSchurExpr.h:221
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatSchurExpr.h:190
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatSchurExpr.h:146
Constraint on the data type.
SchurTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatSchurExpr.h:145
Header file for the Computation base class.
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:107
Constraints on the storage order of matrix types.
constexpr void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
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.
#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 matrix/matrix ...
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
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:137
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
Header file for all forward declarations for sparse vectors and matrices.
Header file for the IsVoid type trait.
If_t< IsExpression_v< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:160
Header file for the SparseMatrix base class.
If_t< IsExpression_v< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:157
Constraint on the data type.
decltype(std::declval< RN1 >() *std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatSchurExpr.h:125
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatSchurExpr.h:147
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
ReturnType_t< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:109
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
#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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatSchurExpr.h:241
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:1147
#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
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:111
Header file for the IsLower type trait.
ReturnType_t< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:110
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatSchurExpr.h:284
Header file for the exception macros of the math module.
Expression object for sparse matrix-transpose sparse matrix Schur product.The SMatTSMatSchurExpr clas...
Definition: Forward.h:135
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatSchurExpr.h:151
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
#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, a compilation error is created.
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
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
RightOperand rhs_
Right-hand side sparse matrix of the Schur product expression.
Definition: SMatTSMatSchurExpr.h:304
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatSchurExpr.h:252
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:164
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
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 at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatSchurExpr.h:205
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
LeftOperand lhs_
Left-hand side sparse matrix of the Schur product expression.
Definition: SMatTSMatSchurExpr.h:303
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatSchurExpr.h:262
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: SMatTSMatSchurExpr.h:165
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
SMatTSMatSchurExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatSchurExpr class.
Definition: SMatTSMatSchurExpr.h:174
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 IsComputation type trait class.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatSchurExpr.h:231
Header file for the StorageOrder type trait.
Header file for the IntegralConstant class template.
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatSchurExpr.h:108
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, 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
#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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatSchurExpr.h:154
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
Constraint on the data type.