SMatTSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <utility>
44 #include <blaze/math/Aliases.h>
52 #include <blaze/math/Exception.h>
67 #include <blaze/util/Assert.h>
68 #include <blaze/util/DisableIf.h>
69 #include <blaze/util/EnableIf.h>
72 #include <blaze/util/mpl/If.h>
73 #include <blaze/util/Types.h>
76 #include <blaze/util/Unused.h>
77 
78 
79 namespace blaze {
80 
81 //=================================================================================================
82 //
83 // CLASS SMATTSMATADDEXPR
84 //
85 //=================================================================================================
86 
87 //*************************************************************************************************
94 template< typename MT1 // Type of the left-hand side sparse matrix
95  , typename MT2 > // Type of the right-hand side sparse matrix
96 class SMatTSMatAddExpr
97  : public MatMatAddExpr< SparseMatrix< SMatTSMatAddExpr<MT1,MT2>, IsZero_v<MT1> > >
98  , private Computation
99 {
100  private:
101  //**Type definitions****************************************************************************
108  //**********************************************************************************************
109 
110  //**Return type evaluation**********************************************************************
112 
117  static constexpr bool returnExpr = !IsTemporary_v<RN1> && !IsTemporary_v<RN2>;
118 
120  using ExprReturnType = decltype( std::declval<RN1>() + std::declval<RN2>() );
121  //**********************************************************************************************
122 
123  //**Serial evaluation strategy******************************************************************
125 
130  template< typename T1, typename T2 >
131  static constexpr bool UseSymmetricKernel_v =
132  ( IsVoid_v< EnableIf_t< StorageOrder_v<T1> != StorageOrder_v<T2> > > && IsSymmetric_v<T2> );
134  //**********************************************************************************************
135 
136  //**Parallel evaluation strategy****************************************************************
138 
143  template< typename MT >
144  static constexpr bool UseSMPAssign_v = MT::smpAssignable;
146  //**********************************************************************************************
147 
148  public:
149  //**Type definitions****************************************************************************
152 
155 
160 
163 
165  using CompositeType = const ResultType;
166 
168  using LeftOperand = If_t< IsExpression_v<MT1>, const MT1, const MT1& >;
169 
171  using RightOperand = If_t< IsExpression_v<MT2>, const MT2, const MT2& >;
172  //**********************************************************************************************
173 
174  //**Compilation flags***************************************************************************
176  static constexpr bool smpAssignable = false;
177  //**********************************************************************************************
178 
179  //**Constructor*********************************************************************************
185  explicit inline SMatTSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
186  : lhs_( lhs ) // Left-hand side sparse matrix of the addition expression
187  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
188  {
189  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
190  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
191  }
192  //**********************************************************************************************
193 
194  //**Access operator*****************************************************************************
201  inline ReturnType operator()( size_t i, size_t j ) const {
202  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
203  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
204  return lhs_(i,j) + rhs_(i,j);
205  }
206  //**********************************************************************************************
207 
208  //**At function*********************************************************************************
216  inline ReturnType at( size_t i, size_t j ) const {
217  if( i >= lhs_.rows() ) {
218  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
219  }
220  if( j >= lhs_.columns() ) {
221  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
222  }
223  return (*this)(i,j);
224  }
225  //**********************************************************************************************
226 
227  //**Rows function*******************************************************************************
232  inline size_t rows() const noexcept {
233  return lhs_.rows();
234  }
235  //**********************************************************************************************
236 
237  //**Columns function****************************************************************************
242  inline size_t columns() const noexcept {
243  return lhs_.columns();
244  }
245  //**********************************************************************************************
246 
247  //**NonZeros function***************************************************************************
252  inline size_t nonZeros() const {
253  return lhs_.nonZeros() + rhs_.nonZeros();
254  }
255  //**********************************************************************************************
256 
257  //**NonZeros function***************************************************************************
263  inline size_t nonZeros( size_t i ) const {
264  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
265  }
266  //**********************************************************************************************
267 
268  //**Left operand access*************************************************************************
273  inline LeftOperand leftOperand() const noexcept {
274  return lhs_;
275  }
276  //**********************************************************************************************
277 
278  //**Right operand access************************************************************************
283  inline RightOperand rightOperand() const noexcept {
284  return rhs_;
285  }
286  //**********************************************************************************************
287 
288  //**********************************************************************************************
294  template< typename T >
295  inline bool canAlias( const T* alias ) const noexcept {
296  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
297  }
298  //**********************************************************************************************
299 
300  //**********************************************************************************************
306  template< typename T >
307  inline bool isAliased( const T* alias ) const noexcept {
308  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
309  }
310  //**********************************************************************************************
311 
312  private:
313  //**Member variables****************************************************************************
316  //**********************************************************************************************
317 
318  //**Assignment to dense matrices****************************************************************
330  template< typename MT // Type of the target dense matrix
331  , bool SO > // Storage order of the target dense matrix
332  friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
333  {
335 
336  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
337  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
338 
339  assign( ~lhs, rhs.lhs_ );
340 
341  if( !IsResizable_v< ElementType_t<MT> > ) {
342  addAssign( ~lhs, rhs.rhs_ );
343  }
344  else
345  {
346  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
347 
348  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
349  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
350  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
351  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
352 
353  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
354  const auto end( B.end(j) );
355  for( auto element=B.begin(j); element!=end; ++element ) {
356  if( isDefault( (~lhs)(element->index(),j) ) )
357  (~lhs)(element->index(),j) = element->value();
358  else
359  (~lhs)(element->index(),j) += element->value();
360  }
361  }
362  }
363  }
365  //**********************************************************************************************
366 
367  //**Assignment to row-major sparse matrices*****************************************************
380  template< typename MT > // Type of the target sparse matrix
381  friend inline auto assign( SparseMatrix<MT,false>& lhs, const SMatTSMatAddExpr& rhs )
383  {
385 
386  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
387  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
388 
389  // Evaluation of the left-hand side sparse matrix operand
390  CT1 A( serial( rhs.lhs_ ) );
391 
392  // Evaluation of the right-hand side sparse matrix operand
393  const OppositeType_t<RT2> B( serial( rhs.rhs_ ) );
394 
395  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
396  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
397  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
398  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
399  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
400  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
401 
402  // Final memory allocation (based on the evaluated operands)
403  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
404 
405  // Performing the matrix addition
406  for( size_t i=0UL; i<(~lhs).rows(); ++i )
407  {
408  const auto lend( A.end(i) );
409  const auto rend( B.end(i) );
410 
411  auto l( A.begin(i) );
412  auto r( B.begin(i) );
413 
414  while( l != lend && r != rend )
415  {
416  if( l->index() < r->index() ) {
417  (~lhs).append( i, l->index(), l->value() );
418  ++l;
419  }
420  else if( l->index() > r->index() ) {
421  (~lhs).append( i, r->index(), r->value() );
422  ++r;
423  }
424  else {
425  (~lhs).append( i, l->index(), l->value() + r->value() );
426  ++l;
427  ++r;
428  }
429  }
430 
431  while( l != lend ) {
432  (~lhs).append( i, l->index(), l->value() );
433  ++l;
434  }
435 
436  while( r != rend ) {
437  (~lhs).append( i, r->index(), r->value() );
438  ++r;
439  }
440 
441  (~lhs).finalize( i );
442  }
443  }
445  //**********************************************************************************************
446 
447  //**Assignment to row-major sparse matrices*****************************************************
460  template< typename MT > // Type of the target sparse matrix
461  friend inline auto assign( SparseMatrix<MT,false>& lhs, const SMatTSMatAddExpr& rhs )
462  -> EnableIf_t< UseSymmetricKernel_v<MT,MT2> >
463  {
465 
466  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
467  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
468 
469  assign( ~lhs, rhs.lhs_ + trans( rhs.rhs_ ) );
470  }
472  //**********************************************************************************************
473 
474  //**Assignment to column-major sparse matrices**************************************************
487  template< typename MT > // Type of the target sparse matrix
488  friend inline auto assign( SparseMatrix<MT,true>& lhs, const SMatTSMatAddExpr& rhs )
489  -> DisableIf_t< UseSymmetricKernel_v<MT,MT1> >
490  {
492 
494 
495  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
496  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
497 
498  // Evaluation of the left-hand side sparse matrix operand
499  const OppositeType_t<RT1> A( serial( rhs.lhs_ ) );
500 
501  // Evaluation of the right-hand side sparse matrix operand
502  CT2 B( serial( rhs.rhs_ ) );
503 
504  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
505  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
506  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
507  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
508  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
509  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
510 
511  // Final memory allocation (based on the evaluated operands)
512  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
513 
514  // Performing the matrix addition
515  for( size_t j=0UL; j<(~lhs).columns(); ++j )
516  {
517  const auto lend( A.end(j) );
518  const auto rend( B.end(j) );
519 
520  auto l( A.begin(j) );
521  auto r( B.begin(j) );
522 
523  while( l != lend && r != rend )
524  {
525  if( l->index() < r->index() ) {
526  (~lhs).append( l->index(), j, l->value() );
527  ++l;
528  }
529  else if( l->index() > r->index() ) {
530  (~lhs).append( r->index(), j, r->value() );
531  ++r;
532  }
533  else {
534  (~lhs).append( l->index(), j, l->value() + r->value() );
535  ++l;
536  ++r;
537  }
538  }
539 
540  while( l != lend ) {
541  (~lhs).append( l->index(), j, l->value() );
542  ++l;
543  }
544 
545  while( r != rend ) {
546  (~lhs).append( r->index(), j, r->value() );
547  ++r;
548  }
549 
550  (~lhs).finalize( j );
551  }
552  }
554  //**********************************************************************************************
555 
556  //**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 SMatTSMatAddExpr& rhs )
571  -> EnableIf_t< UseSymmetricKernel_v<MT,MT1> >
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_ ) + rhs.rhs_ );
581  }
583  //**********************************************************************************************
584 
585  //**Addition assignment to dense matrices*******************************************************
598  template< typename MT // Type of the target dense matrix
599  , bool SO > // Storage order of the target dense matrix
600  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
601  {
603 
604  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
605  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
606 
607  addAssign( ~lhs, rhs.lhs_ );
608  addAssign( ~lhs, rhs.rhs_ );
609  }
611  //**********************************************************************************************
612 
613  //**Addition assignment to sparse matrices******************************************************
614  // No special implementation for the addition assignment to sparse matrices.
615  //**********************************************************************************************
616 
617  //**Subtraction assignment to dense matrices****************************************************
630  template< typename MT // Type of the target dense matrix
631  , bool SO > // Storage order of the target dense matrix
632  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
633  {
635 
636  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
637  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
638 
639  subAssign( ~lhs, rhs.lhs_ );
640  subAssign( ~lhs, rhs.rhs_ );
641  }
643  //**********************************************************************************************
644 
645  //**Subtraction assignment to sparse matrices***************************************************
646  // No special implementation for the subtraction assignment to sparse matrices.
647  //**********************************************************************************************
648 
649  //**Schur product assignment to dense matrices**************************************************
662  template< typename MT // Type of the target dense matrix
663  , bool SO > // Storage order of the target dense matrix
664  friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
665  {
667 
670 
671  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
672  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
673 
674  const ResultType tmp( serial( rhs ) );
675  schurAssign( ~lhs, tmp );
676  }
678  //**********************************************************************************************
679 
680  //**Schur product assignment to sparse matrices*************************************************
681  // No special implementation for the Schur product assignment to sparse matrices.
682  //**********************************************************************************************
683 
684  //**Multiplication assignment to dense matrices*************************************************
685  // No special implementation for the multiplication assignment to dense matrices.
686  //**********************************************************************************************
687 
688  //**Multiplication assignment to sparse matrices************************************************
689  // No special implementation for the multiplication assignment to sparse matrices.
690  //**********************************************************************************************
691 
692  //**SMP assignment to dense matrices************************************************************
693  // No special implementation for the SMP assignment to dense matrices.
694  //**********************************************************************************************
695 
696  //**SMP assignment to sparse matrices***********************************************************
697  // No special implementation for the SMP assignment to sparse matrices.
698  //**********************************************************************************************
699 
700  //**SMP addition assignment to dense matrices***************************************************
715  template< typename MT // Type of the target dense matrix
716  , bool SO > // Storage order of the target dense matrix
717  friend inline auto smpAddAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
718  -> EnableIf_t< UseSMPAssign_v<MT> >
719  {
721 
722  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
723  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
724 
725  smpAddAssign( ~lhs, rhs.lhs_ );
726  smpAddAssign( ~lhs, rhs.rhs_ );
727  }
729  //**********************************************************************************************
730 
731  //**SMP addition assignment to sparse matrices**************************************************
732  // No special implementation for the SMP addition assignment to sparse matrices.
733  //**********************************************************************************************
734 
735  //**SMP subtraction assignment to dense matrices************************************************
750  template< typename MT // Type of the target dense matrix
751  , bool SO > // Storage order of the target dense matrix
752  friend inline auto smpSubAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
753  -> EnableIf_t< UseSMPAssign_v<MT> >
754  {
756 
757  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
758  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
759 
760  smpSubAssign( ~lhs, rhs.lhs_ );
761  smpSubAssign( ~lhs, rhs.rhs_ );
762  }
764  //**********************************************************************************************
765 
766  //**SMP subtraction assignment to sparse matrices***********************************************
767  // No special implementation for the SMP subtraction assignment to sparse matrices.
768  //**********************************************************************************************
769 
770  //**SMP Schur product assignment to dense matrices**********************************************
785  template< typename MT // Type of the target dense matrix
786  , bool SO > // Storage order of the target dense matrix
787  friend inline auto smpSchurAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
788  -> EnableIf_t< UseSMPAssign_v<MT> >
789  {
791 
794 
795  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
796  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
797 
798  const ResultType tmp( rhs );
799  smpSchurAssign( ~lhs, tmp );
800  }
802  //**********************************************************************************************
803 
804  //**SMP Schur product assignment to sparse matrices*********************************************
805  // No special implementation for the SMP Schur product assignment to sparse matrices.
806  //**********************************************************************************************
807 
808  //**SMP multiplication assignment to dense matrices*********************************************
809  // No special implementation for the SMP multiplication assignment to dense matrices.
810  //**********************************************************************************************
811 
812  //**SMP multiplication assignment to sparse matrices********************************************
813  // No special implementation for the SMP multiplication assignment to sparse matrices.
814  //**********************************************************************************************
815 
816  //**Compile time checks*************************************************************************
824  //**********************************************************************************************
825 };
826 //*************************************************************************************************
827 
828 
829 
830 
831 //=================================================================================================
832 //
833 // GLOBAL BINARY ARITHMETIC OPERATORS
834 //
835 //=================================================================================================
836 
837 //*************************************************************************************************
850 template< typename MT1 // Type of the left-hand side sparse matrix
851  , typename MT2 // Type of the right-hand side sparse matrix
852  , DisableIf_t< ( ( IsZero_v<MT1> || IsZero_v<MT2> ) &&
853  IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > ) ||
854  ( IsZero_v<MT1> && IsZero_v<MT2> ) >* = nullptr >
855 inline const SMatTSMatAddExpr<MT1,MT2>
856  smattsmatadd( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
857 {
859 
860  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
861  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
862 
863  return SMatTSMatAddExpr<MT1,MT2>( ~lhs, ~rhs );
864 }
866 //*************************************************************************************************
867 
868 
869 //*************************************************************************************************
883 template< typename MT1 // Type of the left-hand side sparse matrix
884  , typename MT2 // Type of the right-hand side sparse matrix
885  , EnableIf_t< !IsZero_v<MT1> && IsZero_v<MT2> &&
886  IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* = nullptr >
887 inline const MT1&
888  smattsmatadd( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
889 {
891 
892  UNUSED_PARAMETER( rhs );
893 
894  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
895  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
896 
897  return (~lhs);
898 }
900 //*************************************************************************************************
901 
902 
903 //*************************************************************************************************
917 template< typename MT1 // Type of the left-hand side sparse matrix
918  , typename MT2 // Type of the right-hand side sparse matrix
919  , EnableIf_t< IsZero_v<MT1> && !IsZero_v<MT2> &&
920  IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* = nullptr >
921 inline const MT2&
922  smattsmatadd( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
923 {
925 
926  UNUSED_PARAMETER( lhs );
927 
928  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
929  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
930 
931  return (~rhs);
932 }
934 //*************************************************************************************************
935 
936 
937 //*************************************************************************************************
950 template< typename MT1 // Type of the left-hand side sparse matrix
951  , typename MT2 // Type of the right-hand side sparse matrix
952  , EnableIf_t< IsZero_v<MT1> && IsZero_v<MT2> >* = nullptr >
953 inline decltype(auto)
954  smattsmatadd( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
955 {
957 
958  UNUSED_PARAMETER( rhs );
959 
960  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
961  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
962 
963  using ReturnType = const AddTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
964 
967 
968  return ReturnType( (~lhs).rows(), (~lhs).columns() );
969 }
971 //*************************************************************************************************
972 
973 
974 //*************************************************************************************************
1003 template< typename MT1 // Type of the left-hand side sparse matrix
1004  , typename MT2 > // Type of the right-hand side sparse matrix
1005 inline decltype(auto)
1006  operator+( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,true>& rhs )
1007 {
1009 
1010  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1011  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1012  }
1013 
1014  return smattsmatadd( ~lhs, ~rhs );
1015 }
1016 //*************************************************************************************************
1017 
1018 
1019 //*************************************************************************************************
1048 template< typename MT1 // Type of the left-hand side sparse matrix
1049  , typename MT2 > // Type of the right-hand side sparse matrix
1050 inline decltype(auto)
1051  operator+( const SparseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
1052 {
1054 
1055  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1056  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1057  }
1058 
1059  return smattsmatadd( ~rhs, ~lhs );
1060 }
1061 //*************************************************************************************************
1062 
1063 } // namespace blaze
1064 
1065 #endif
#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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatAddExpr.h:307
Header file for the UNUSED_PARAMETER function template.
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
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:106
Header file for the serial shim.
Header file for the IsSame and IsStrictlySame type traits.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatAddExpr.h:242
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
Constraint on the data type.
Header file for the Computation base class.
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
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 the IsVoid type trait.
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:314
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:158
Header file for the SparseMatrix base class.
Constraint on the data type.
ReturnType_t< MT2 > RN2
Evaluation type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:105
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
decltype(std::declval< RN1 >()+std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatAddExpr.h:120
Header file for the IsSymmetric type trait.
constexpr bool IsResizable_v
Auxiliary variable template for the IsResizable type trait.The IsResizable_v variable template provid...
Definition: IsResizable.h:134
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 rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatAddExpr.h:232
#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
If_t< IsExpression_v< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:171
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatAddExpr.h:295
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:162
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatAddExpr.h:252
typename AddTrait< T1, T2 >::Type AddTrait_t
Auxiliary alias declaration for the AddTrait class template.The AddTrait_t alias declaration provides...
Definition: AddTrait.h:238
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatAddExpr.h:263
Header file for the exception macros of the math module.
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:438
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:103
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: SMatTSMatAddExpr.h:176
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatAddExpr.h:165
typename T::OppositeType OppositeType_t
Alias declaration for nested OppositeType type definitions.The OppositeType_t alias declaration provi...
Definition: Aliases.h:270
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatAddExpr.h:157
#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
If_t< IsExpression_v< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:168
Header file for the addition trait.
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
Constraint on the data type.
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
AddTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:156
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:103
Header file for the isDefault shim.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatAddExpr.h:201
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:315
Constraint on the data type.
Constraints on the storage order of matrix types.
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: SMatTSMatAddExpr.h:117
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: SMatTSMatAddExpr.h:216
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatAddExpr.h:283
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
Header file for the MatMatAddExpr base class.
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
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:102
Expression object for sparse matrix-transpose sparse matrix additions.The SMatTSMatAddExpr class repr...
Definition: Forward.h:133
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
SMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatAddExpr class.
Definition: SMatTSMatAddExpr.h:185
Header file for the IsComputation type trait class.
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
Header file for the StorageOrder type trait.
Header file for the IntegralConstant class template.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:631
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:107
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatAddExpr.h:273
ReturnType_t< MT1 > RN1
Evaluation type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:104
Header file for the IsResizable type trait.
constexpr bool IsSame_v
Auxiliary variable template for the IsSame type trait.The IsSame_v variable template provides a conve...
Definition: IsSame.h:161
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatAddExpr.h:159