Blaze 3.9
SMatSMatSubExpr.h
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1//=================================================================================================
33//=================================================================================================
34
35#ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
36#define _BLAZE_MATH_EXPRESSIONS_SMATSMATSUBEXPR_H_
37
38
39//*************************************************************************************************
40// Includes
41//*************************************************************************************************
42
43#include <utility>
44#include <blaze/math/Aliases.h>
65#include <blaze/util/Assert.h>
66#include <blaze/util/EnableIf.h>
70#include <blaze/util/mpl/If.h>
71#include <blaze/util/Types.h>
73
74
75namespace blaze {
76
77//=================================================================================================
78//
79// CLASS SMATSMATSUBEXPR
80//
81//=================================================================================================
82
83//*************************************************************************************************
90template< typename MT1 // Type of the left-hand side sparse matrix
91 , typename MT2 > // Type of the right-hand side sparse matrix
93 : public MatMatSubExpr< SparseMatrix< SMatSMatSubExpr<MT1,MT2>, false > >
94 , private Computation
95{
96 private:
97 //**Type definitions****************************************************************************
104 //**********************************************************************************************
105
106 //**Return type evaluation**********************************************************************
108
113 static constexpr bool returnExpr = ( !IsTemporary_v<RN1> && !IsTemporary_v<RN2> );
114
116 using ExprReturnType = decltype( std::declval<RN1>() - std::declval<RN2>() );
117 //**********************************************************************************************
118
119 //**Serial evaluation strategy******************************************************************
121
126 template< typename T1, typename T2, typename T3 >
127 static constexpr bool UseSymmetricKernel_v =
128 ( IsColumnMajorMatrix_v<T1> && IsSymmetric_v<T2> && IsSymmetric_v<T3> );
130 //**********************************************************************************************
131
132 //**Parallel evaluation strategy****************************************************************
134
139 template< typename MT >
140 static constexpr bool UseSMPAssign_v = MT::smpAssignable;
142 //**********************************************************************************************
143
144 public:
145 //**Type definitions****************************************************************************
148
151
156
159
162
164 using LeftOperand = If_t< IsExpression_v<MT1>, const MT1, const MT1& >;
165
167 using RightOperand = If_t< IsExpression_v<MT2>, const MT2, const MT2& >;
168 //**********************************************************************************************
169
170 //**Compilation flags***************************************************************************
172 static constexpr bool smpAssignable = false;
173 //**********************************************************************************************
174
175 //**Constructor*********************************************************************************
181 inline SMatSMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
182 : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
183 , rhs_( rhs ) // Right-hand side sparse matrix of the subtraction expression
184 {
185 BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
186 BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
187 }
188 //**********************************************************************************************
189
190 //**Access operator*****************************************************************************
197 inline ReturnType operator()( size_t i, size_t j ) const {
198 BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
199 BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
200 return lhs_(i,j) - rhs_(i,j);
201 }
202 //**********************************************************************************************
203
204 //**At function*********************************************************************************
212 inline ReturnType at( size_t i, size_t j ) const {
213 if( i >= lhs_.rows() ) {
214 BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
215 }
216 if( j >= lhs_.columns() ) {
217 BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
218 }
219 return (*this)(i,j);
220 }
221 //**********************************************************************************************
222
223 //**Rows function*******************************************************************************
228 inline size_t rows() const noexcept {
229 return lhs_.rows();
230 }
231 //**********************************************************************************************
232
233 //**Columns function****************************************************************************
238 inline size_t columns() const noexcept {
239 return lhs_.columns();
240 }
241 //**********************************************************************************************
242
243 //**NonZeros function***************************************************************************
248 inline size_t nonZeros() const {
249 return lhs_.nonZeros() + rhs_.nonZeros();
250 }
251 //**********************************************************************************************
252
253 //**NonZeros function***************************************************************************
259 inline size_t nonZeros( size_t i ) const {
260 return lhs_.nonZeros(i) + rhs_.nonZeros(i);
261 }
262 //**********************************************************************************************
263
264 //**Left operand access*************************************************************************
269 inline LeftOperand leftOperand() const noexcept {
270 return lhs_;
271 }
272 //**********************************************************************************************
273
274 //**Right operand access************************************************************************
279 inline RightOperand rightOperand() const noexcept {
280 return rhs_;
281 }
282 //**********************************************************************************************
283
284 //**********************************************************************************************
290 template< typename T >
291 inline bool canAlias( const T* alias ) const noexcept {
292 return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
293 }
294 //**********************************************************************************************
295
296 //**********************************************************************************************
302 template< typename T >
303 inline bool isAliased( const T* alias ) const noexcept {
304 return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
305 }
306 //**********************************************************************************************
307
308 private:
309 //**Member variables****************************************************************************
312 //**********************************************************************************************
313
314 //**Assignment to dense matrices****************************************************************
326 template< typename MT // Type of the target dense matrix
327 , bool SO > // Storage order of the target dense matrix
328 friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatSMatSubExpr& rhs )
329 {
331
332 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
333 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
334
335 assign( *lhs, rhs.lhs_ );
336
338 subAssign( *lhs, rhs.rhs_ );
339 }
340 else
341 {
342 CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
343
344 BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
345 BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
346 BLAZE_INTERNAL_ASSERT( B.rows() == (*lhs).rows() , "Invalid number of rows" );
347 BLAZE_INTERNAL_ASSERT( B.columns() == (*lhs).columns() , "Invalid number of columns" );
348
349 for( size_t i=0UL; i<(*lhs).rows(); ++i ) {
350 const auto end( B.end(i) );
351 for( auto element=B.begin(i); element!=end; ++element ) {
352 if( isDefault( (*lhs)(i,element->index()) ) )
353 (*lhs)(i,element->index()) = -element->value();
354 else
355 (*lhs)(i,element->index()) -= element->value();
356 }
357 }
358 }
359 }
361 //**********************************************************************************************
362
363 //**Assignment to row-major sparse matrices*****************************************************
375 template< typename MT > // Type of the target sparse matrix
376 friend inline void assign( SparseMatrix<MT,false>& lhs, const SMatSMatSubExpr& rhs )
377 {
379
380 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
381 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
382
383 CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
384 CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
385
386 BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
387 BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
388 BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
389 BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
390 BLAZE_INTERNAL_ASSERT( A.rows() == (*lhs).rows() , "Invalid number of rows" );
391 BLAZE_INTERNAL_ASSERT( A.columns() == (*lhs).columns() , "Invalid number of columns" );
392
393 // Final memory allocation (based on the evaluated operands)
394 (*lhs).reserve( A.nonZeros() + B.nonZeros() );
395
396 // Performing the matrix subtraction
397 for( size_t i=0UL; i<(*lhs).rows(); ++i )
398 {
399 const auto lend( A.end(i) );
400 const auto rend( B.end(i) );
401
402 auto l( A.begin(i) );
403 auto r( B.begin(i) );
404
405 while( l != lend && r != rend )
406 {
407 if( l->index() < r->index() ) {
408 (*lhs).append( i, l->index(), l->value() );
409 ++l;
410 }
411 else if( l->index() > r->index() ) {
412 (*lhs).append( i, r->index(), -r->value() );
413 ++r;
414 }
415 else {
416 (*lhs).append( i, l->index(), l->value() - r->value() );
417 ++l;
418 ++r;
419 }
420 }
421
422 while( l != lend ) {
423 (*lhs).append( i, l->index(), l->value() );
424 ++l;
425 }
426
427 while( r != rend ) {
428 (*lhs).append( i, r->index(), -r->value() );
429 ++r;
430 }
431
432 (*lhs).finalize( i );
433 }
434 }
436 //**********************************************************************************************
437
438 //**Assignment to column-major sparse matrices**************************************************
450 template< typename MT > // Type of the target sparse matrix
451 friend inline auto assign( SparseMatrix<MT,true>& lhs, const SMatSMatSubExpr& rhs )
452 -> DisableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
453 {
455
457
458 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
459 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
460
461 CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
462 CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
463
464 BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
465 BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
466 BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
467 BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
468 BLAZE_INTERNAL_ASSERT( A.rows() == (*lhs).rows() , "Invalid number of rows" );
469 BLAZE_INTERNAL_ASSERT( A.columns() == (*lhs).columns() , "Invalid number of columns" );
470
471 const size_t m( rhs.rows() );
472 const size_t n( rhs.columns() );
473
474 // Counting the number of elements per column
475 std::vector<size_t> nonzeros( n, 0UL );
476 for( size_t i=0UL; i<m; ++i )
477 {
478 const auto lend( A.end(i) );
479 const auto rend( B.end(i) );
480
481 auto l( A.begin(i) );
482 auto r( B.begin(i) );
483
484 while( l != lend && r != rend )
485 {
486 if( l->index() < r->index() ) {
487 ++nonzeros[l->index()];
488 ++l;
489 }
490 else if( l->index() > r->index() ) {
491 ++nonzeros[r->index()];
492 ++r;
493 }
494 else {
495 ++nonzeros[l->index()];
496 ++l;
497 ++r;
498 }
499 }
500
501 while( l != lend ) {
502 ++nonzeros[l->index()];
503 ++l;
504 }
505
506 while( r != rend ) {
507 ++nonzeros[r->index()];
508 ++r;
509 }
510 }
511
512 // Resizing the left-hand side sparse matrix
513 for( size_t j=0UL; j<n; ++j ) {
514 (*lhs).reserve( j, nonzeros[j] );
515 }
516
517 // Performing the matrix subtraction
518 for( size_t i=0UL; i<m; ++i )
519 {
520 const auto lend( A.end(i) );
521 const auto rend( B.end(i) );
522
523 auto l( A.begin(i) );
524 auto r( B.begin(i) );
525
526 while( l != lend && r != rend )
527 {
528 if( l->index() < r->index() ) {
529 (*lhs).append( i, l->index(), l->value() );
530 ++l;
531 }
532 else if( l->index() > r->index() ) {
533 (*lhs).append( i, r->index(), -r->value() );
534 ++r;
535 }
536 else {
537 (*lhs).append( i, l->index(), l->value() - r->value() );
538 ++l;
539 ++r;
540 }
541 }
542
543 while( l != lend ) {
544 (*lhs).append( i, l->index(), l->value() );
545 ++l;
546 }
547
548 while( r != rend ) {
549 (*lhs).append( i, r->index(), -r->value() );
550 ++r;
551 }
552 }
553 }
555 //**********************************************************************************************
556
557 //**Assignment to column-major sparse matrices**************************************************
569 template< typename MT > // Type of the target sparse matrix
570 friend inline auto assign( SparseMatrix<MT,true>& lhs, const SMatSMatSubExpr& rhs )
571 -> EnableIf_t< UseSymmetricKernel_v<MT,MT1,MT2> >
572 {
574
576
577 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
578 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
579
580 assign( *lhs, trans( rhs.lhs_ ) - trans( rhs.rhs_ ) );
581 }
583 //**********************************************************************************************
584
585 //**Addition assignment to dense matrices*******************************************************
597 template< typename MT // Type of the target dense matrix
598 , bool SO > // Storage order of the target dense matrix
599 friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatSubExpr& rhs )
600 {
602
603 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
604 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
605
606 addAssign( *lhs, rhs.lhs_ );
607 subAssign( *lhs, rhs.rhs_ );
608 }
610 //**********************************************************************************************
611
612 //**Addition assignment to sparse matrices******************************************************
613 // No special implementation for the addition assignment to sparse matrices.
614 //**********************************************************************************************
615
616 //**Subtraction assignment to dense matrices****************************************************
628 template< typename MT // Type of the target dense matrix
629 , bool SO > // Storage order of the target dense matrix
630 friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatSubExpr& rhs )
631 {
633
634 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
635 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
636
637 subAssign( *lhs, rhs.lhs_ );
638 addAssign( *lhs, rhs.rhs_ );
639 }
641 //**********************************************************************************************
642
643 //**Subtraction assignment to sparse matrices***************************************************
644 // No special implementation for the subtraction assignment to sparse matrices.
645 //**********************************************************************************************
646
647 //**Schur product assignment to dense matrices**************************************************
660 template< typename MT // Type of the target dense matrix
661 , bool SO > // Storage order of the target dense matrix
662 friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatSubExpr& rhs )
663 {
665
669
670 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
671 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
672
673 const ResultType tmp( serial( rhs ) );
674 schurAssign( *lhs, tmp );
675 }
677 //**********************************************************************************************
678
679 //**Schur product assignment to sparse matrices*************************************************
680 // No special implementation for the Schur product assignment to sparse matrices.
681 //**********************************************************************************************
682
683 //**Multiplication assignment to dense matrices*************************************************
684 // No special implementation for the multiplication assignment to dense matrices.
685 //**********************************************************************************************
686
687 //**Multiplication assignment to sparse matrices************************************************
688 // No special implementation for the multiplication assignment to sparse matrices.
689 //**********************************************************************************************
690
691 //**SMP assignment to dense matrices************************************************************
692 // No special implementation for the SMP assignment to dense matrices.
693 //**********************************************************************************************
694
695 //**SMP assignment to sparse matrices***********************************************************
696 // No special implementation for the SMP assignment to sparse matrices.
697 //**********************************************************************************************
698
699 //**SMP addition assignment to dense matrices***************************************************
713 template< typename MT // Type of the target dense matrix
714 , bool SO > // Storage order of the target dense matrix
715 friend inline auto smpAddAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatSubExpr& rhs )
716 -> EnableIf_t< UseSMPAssign_v<MT> >
717 {
719
720 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
721 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
722
723 smpAddAssign( *lhs, rhs.lhs_ );
724 smpSubAssign( *lhs, rhs.rhs_ );
725 }
727 //**********************************************************************************************
728
729 //**SMP addition assignment to sparse matrices**************************************************
730 // No special implementation for the SMP addition assignment to sparse matrices.
731 //**********************************************************************************************
732
733 //**SMP subtraction assignment to dense matrices************************************************
748 template< typename MT // Type of the target dense matrix
749 , bool SO > // Storage order of the target dense matrix
750 friend inline auto smpSubAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatSubExpr& rhs )
751 -> EnableIf_t< UseSMPAssign_v<MT> >
752 {
754
755 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
756 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
757
758 smpSubAssign( *lhs, rhs.lhs_ );
759 smpAddAssign( *lhs, rhs.rhs_ );
760 }
762 //**********************************************************************************************
763
764 //**SMP subtraction assignment to sparse matrices***********************************************
765 // No special implementation for the SMP subtraction assignment to sparse matrices.
766 //**********************************************************************************************
767
768 //**SMP Schur product assignment to dense matrices**********************************************
783 template< typename MT // Type of the target dense matrix
784 , bool SO > // Storage order of the target dense matrix
785 friend inline auto smpSchurAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatSubExpr& rhs )
786 -> EnableIf_t< UseSMPAssign_v<MT> >
787 {
789
793
794 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == rhs.rows() , "Invalid number of rows" );
795 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == rhs.columns(), "Invalid number of columns" );
796
797 const ResultType tmp( rhs );
798 smpSchurAssign( *lhs, tmp );
799 }
801 //**********************************************************************************************
802
803 //**SMP Schur product assignment to sparse matrices*********************************************
804 // No special implementation for the SMP Schur product assignment to sparse matrices.
805 //**********************************************************************************************
806
807 //**SMP multiplication assignment to dense matrices*********************************************
808 // No special implementation for the SMP multiplication assignment to dense matrices.
809 //**********************************************************************************************
810
811 //**SMP multiplication assignment to sparse matrices********************************************
812 // No special implementation for the SMP multiplication assignment to sparse matrices.
813 //**********************************************************************************************
814
815 //**Compile time checks*************************************************************************
823 //**********************************************************************************************
824};
825//*************************************************************************************************
826
827
828
829
830//=================================================================================================
831//
832// GLOBAL BINARY ARITHMETIC OPERATORS
833//
834//=================================================================================================
835
836//*************************************************************************************************
848template< typename MT1 // Type of the left-hand side sparse matrix
849 , typename MT2 // Type of the right-hand side sparse matrix
850 , DisableIf_t< ( ( IsZero_v<MT1> || IsZero_v<MT2> ) &&
851 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > ) ||
852 ( IsZero_v<MT1> && IsZero_v<MT2> ) >* = nullptr >
853inline const SMatSMatSubExpr<MT1,MT2>
854 smatsmatsub( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
855{
857
858 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == (*rhs).rows() , "Invalid number of rows" );
859 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == (*rhs).columns(), "Invalid number of columns" );
860
861 return SMatSMatSubExpr<MT1,MT2>( *lhs, *rhs );
862}
864//*************************************************************************************************
865
866
867//*************************************************************************************************
881template< typename MT1 // Type of the left-hand side sparse matrix
882 , typename MT2 // Type of the right-hand side sparse matrix
883 , EnableIf_t< !IsZero_v<MT1> && IsZero_v<MT2> &&
884 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* = nullptr >
885inline const MT1&
886 smatsmatsub( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
887{
889
890 MAYBE_UNUSED( rhs );
891
892 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == (*rhs).rows() , "Invalid number of rows" );
893 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == (*rhs).columns(), "Invalid number of columns" );
894
895 return (*lhs);
896}
898//*************************************************************************************************
899
900
901//*************************************************************************************************
915template< typename MT1 // Type of the left-hand side sparse matrix
916 , typename MT2 // Type of the right-hand side sparse matrix
917 , EnableIf_t< IsZero_v<MT1> && !IsZero_v<MT2> &&
918 IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* = nullptr >
919inline decltype(auto)
920 smatsmatsub( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
921{
923
924 MAYBE_UNUSED( lhs );
925
926 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == (*rhs).rows() , "Invalid number of rows" );
927 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == (*rhs).columns(), "Invalid number of columns" );
928
929 return -(*rhs);
930}
932//*************************************************************************************************
933
934
935//*************************************************************************************************
947template< typename MT1 // Type of the left-hand side sparse matrix
948 , typename MT2 // Type of the right-hand side sparse matrix
949 , EnableIf_t< IsZero_v<MT1> && IsZero_v<MT2> >* = nullptr >
950inline decltype(auto)
951 smatsmatsub( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
952{
954
955 MAYBE_UNUSED( rhs );
956
957 BLAZE_INTERNAL_ASSERT( (*lhs).rows() == (*rhs).rows() , "Invalid number of rows" );
958 BLAZE_INTERNAL_ASSERT( (*lhs).columns() == (*rhs).columns(), "Invalid number of columns" );
959
960 using ReturnType = const SubTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
961
964
965 return ReturnType( (*lhs).rows(), (*lhs).columns() );
966}
968//*************************************************************************************************
969
970
971//*************************************************************************************************
997template< typename MT1 // Type of the left-hand side sparse matrix
998 , typename MT2 > // Type of the right-hand side sparse matrix
999inline decltype(auto)
1000 operator-( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
1001{
1003
1004 if( (*lhs).rows() != (*rhs).rows() || (*lhs).columns() != (*rhs).columns() ) {
1005 BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1006 }
1007
1008 return smatsmatsub( *lhs, *rhs );
1009}
1010//*************************************************************************************************
1011
1012} // namespace blaze
1013
1014#endif
Header file for auxiliary alias declarations.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.
Definition: Aliases.h:110
typename T::ReturnType ReturnType_t
Alias declaration for nested ReturnType type definitions.
Definition: Aliases.h:470
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.
Definition: Aliases.h:450
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.
Definition: Aliases.h:190
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.
Definition: Aliases.h:310
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.
Definition: Aliases.h:550
Header file for run time assertion macros.
Header file for the EnableIf class template.
Header file for the function trace functionality.
Header file for the If class template.
Header file for the IntegralConstant class template.
Header file for the IsColumnMajorMatrix type trait.
Header file for the isDefault shim.
Header file for the IsExpression type trait class.
Header file for the IsResizable type trait.
Header file for the IsSame and IsStrictlySame type traits.
Header file for the IsSymmetric type trait.
Header file for the IsTemporary type trait class.
Header file for the MAYBE_UNUSED function template.
Constraints on the storage order of matrix types.
Header file for the subtraction trait.
Constraint on the data type.
Constraint on the data type.
Base class for dense matrices.
Definition: DenseMatrix.h:82
Expression object for sparse matrix-sparse matrix subtractions.
Definition: SMatSMatSubExpr.h:95
decltype(std::declval< RN1 >() - std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatSubExpr.h:116
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatSubExpr.h:259
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatSubExpr.h:291
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:102
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:99
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatSubExpr.h:248
If_t< IsExpression_v< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:164
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:311
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: SMatSMatSubExpr.h:172
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:269
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:103
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: SMatSMatSubExpr.h:155
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatSubExpr.h:153
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatSubExpr.h:279
SMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatSMatSubExpr class.
Definition: SMatSMatSubExpr.h:181
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatSubExpr.h:161
SubTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatSubExpr.h:152
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:98
ReturnType_t< MT2 > RN2
ReturnType type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:101
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: SMatSMatSubExpr.h:113
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatSubExpr.h:154
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatSMatSubExpr.h:310
If_t< IsExpression_v< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:167
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatSubExpr.h:238
ReturnType_t< MT1 > RN1
ReturnType type of the left-hand side sparse matrix expression.
Definition: SMatSMatSubExpr.h:100
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatSMatSubExpr.h:158
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatSubExpr.h:197
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatSubExpr.h:228
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatSubExpr.h:212
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatSubExpr.h:303
Base class for sparse matrices.
Definition: SparseMatrix.h:77
Constraint on the data type.
Constraint on the data type.
Constraint on the data type.
Header file for the Computation base class.
Header file for the MatMatSubExpr base class.
Header file for the SparseMatrix base class.
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:766
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:812
bool isDefault(const DiagonalMatrix< MT, SO, DF > &m)
Returns whether the given diagonal matrix is in default state.
Definition: DiagonalMatrix.h:169
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.
Definition: Symmetric.h:79
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.
Definition: RowMajorMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.
Definition: MatMatSubExpr.h:103
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.
Definition: RequiresEvaluation.h:81
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.
Definition: SparseMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.
Definition: Zero.h:61
typename SubTrait< T1, T2 >::Type SubTrait_t
Auxiliary alias declaration for the SubTrait class template.
Definition: SubTrait.h:163
constexpr bool IsResizable_v
Auxiliary variable template for the IsResizable type trait.
Definition: IsResizable.h:136
MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:584
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.
Definition: Assert.h:101
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
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
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
constexpr bool IsSame_v
Auxiliary variable template for the IsSame type trait.
Definition: IsSame.h:159
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
typename If< Condition >::template Type< T1, T2 > If_t
Auxiliary alias template for the If class template.
Definition: If.h:108
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.
Definition: Exception.h:331
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.
Definition: Exception.h:235
typename EnableIf<!Condition, T >::Type DisableIf_t
Auxiliary type for the EnableIf class template.
Definition: EnableIf.h:175
#define BLAZE_FUNCTION_TRACE
Function trace macro.
Definition: FunctionTrace.h:94
Header file for the exception macros of the math module.
Header file for all forward declarations for expression class templates.
Header file for the serial shim.
Base class for all compute expression templates.
Definition: Computation.h:68
Base class for all matrix/matrix subtraction expression templates.
Definition: MatMatSubExpr.h:69
Header file for the IsZero type trait.
Header file for basic type definitions.