SMatSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <utility>
44 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
66 #include <blaze/util/Assert.h>
67 #include <blaze/util/DisableIf.h>
68 #include <blaze/util/EnableIf.h>
71 #include <blaze/util/mpl/If.h>
72 #include <blaze/util/Types.h>
75 #include <blaze/util/Unused.h>
76 
77 
78 namespace blaze {
79 
80 //=================================================================================================
81 //
82 // CLASS SMATSMATADDEXPR
83 //
84 //=================================================================================================
85 
86 //*************************************************************************************************
93 template< typename MT1 // Type of the left-hand side sparse matrix
94  , typename MT2 > // Type of the right-hand side sparse matrix
95 class SMatSMatAddExpr
96  : public MatMatAddExpr< SparseMatrix< SMatSMatAddExpr<MT1,MT2>, false > >
97  , private Computation
98 {
99  private:
100  //**Type definitions****************************************************************************
107  //**********************************************************************************************
108 
109  //**Return type evaluation**********************************************************************
111 
116  static constexpr bool returnExpr = !IsTemporary_v<RN1> && !IsTemporary_v<RN2>;
117 
119  using ExprReturnType = decltype( std::declval<RN1>() + std::declval<RN2>() );
120  //**********************************************************************************************
121 
122  //**Serial evaluation strategy******************************************************************
124 
129  template< typename T1, typename T2, typename T3 >
130  static constexpr bool UseSymmetricKernel_v =
131  ( IsVoid_v< EnableIf_t< IsColumnMajorMatrix_v<T1> > > &&
132  IsSymmetric_v<T2> && IsSymmetric_v<T3> );
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****************************************************************************
156 
159 
161  using CompositeType = const ResultType;
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  explicit inline SMatSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
182  : lhs_( lhs ) // Left-hand side sparse matrix of the addition expression
183  , rhs_( rhs ) // Right-hand side sparse matrix of the addition 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 SMatSMatAddExpr& 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 
337  if( !IsResizable_v< ElementType_t<MT> > ) {
338  addAssign( ~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 SMatSMatAddExpr& 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 addition
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 SMatSMatAddExpr& 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( A.rows() );
472  const size_t n( A.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 addition
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 SMatSMatAddExpr& 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 SMatSMatAddExpr& 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  addAssign( ~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 SMatSMatAddExpr& 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  subAssign( ~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**************************************************
659  template< typename MT // Type of the target dense matrix
660  , bool SO > // Storage order of the target dense matrix
661  friend inline void schurAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
662  {
664 
668 
669  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
670  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
671 
672  const ResultType tmp( serial( rhs ) );
673  schurAssign( ~lhs, tmp );
674  }
676  //**********************************************************************************************
677 
678  //**Schur product assignment to sparse matrices******************************************************
679  // No special implementation for the Schur product assignment to sparse matrices.
680  //**********************************************************************************************
681 
682  //**Multiplication assignment to dense matrices*************************************************
683  // No special implementation for the multiplication assignment to dense matrices.
684  //**********************************************************************************************
685 
686  //**Multiplication assignment to sparse matrices************************************************
687  // No special implementation for the multiplication assignment to sparse matrices.
688  //**********************************************************************************************
689 
690  //**SMP assignment to dense matrices************************************************************
691  // No special implementation for the SMP assignment to dense matrices.
692  //**********************************************************************************************
693 
694  //**SMP assignment to sparse matrices***********************************************************
695  // No special implementation for the SMP assignment to sparse matrices.
696  //**********************************************************************************************
697 
698  //**SMP addition assignment to dense matrices***************************************************
712  template< typename MT // Type of the target dense matrix
713  , bool SO > // Storage order of the target dense matrix
714  friend inline auto smpAddAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
715  -> EnableIf_t< UseSMPAssign_v<MT> >
716  {
718 
719  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
720  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
721 
722  smpAddAssign( ~lhs, rhs.lhs_ );
723  smpAddAssign( ~lhs, rhs.rhs_ );
724  }
726  //**********************************************************************************************
727 
728  //**SMP addition assignment to sparse matrices**************************************************
729  // No special implementation for the SMP addition assignment to sparse matrices.
730  //**********************************************************************************************
731 
732  //**SMP subtraction assignment to dense matrices************************************************
746  template< typename MT // Type of the target dense matrix
747  , bool SO > // Storage order of the target dense matrix
748  friend inline auto smpSubAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
749  -> EnableIf_t< UseSMPAssign_v<MT> >
750  {
752 
753  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
754  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
755 
756  smpSubAssign( ~lhs, rhs.lhs_ );
757  smpSubAssign( ~lhs, rhs.rhs_ );
758  }
760  //**********************************************************************************************
761 
762  //**SMP subtraction assignment to sparse matrices***********************************************
763  // No special implementation for the SMP subtraction assignment to sparse matrices.
764  //**********************************************************************************************
765 
766  //**SMP Schur product assignment to dense matrices**********************************************
781  template< typename MT // Type of the target dense matrix
782  , bool SO > // Storage order of the target dense matrix
783  friend inline auto smpSchurAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
784  -> EnableIf_t< UseSMPAssign_v<MT> >
785  {
787 
791 
792  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
793  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
794 
795  const ResultType tmp( rhs );
796  smpSchurAssign( ~lhs, tmp );
797  }
799  //**********************************************************************************************
800 
801  //**SMP Schur product assignment to sparse matrices*********************************************
802  // No special implementation for the SMP Schur product assignment to sparse matrices.
803  //**********************************************************************************************
804 
805  //**SMP multiplication assignment to dense matrices*********************************************
806  // No special implementation for the SMP multiplication assignment to dense matrices.
807  //**********************************************************************************************
808 
809  //**SMP multiplication assignment to sparse matrices********************************************
810  // No special implementation for the SMP multiplication assignment to sparse matrices.
811  //**********************************************************************************************
812 
813  //**Compile time checks*************************************************************************
821  //**********************************************************************************************
822 };
823 //*************************************************************************************************
824 
825 
826 
827 
828 //=================================================================================================
829 //
830 // GLOBAL BINARY ARITHMETIC OPERATORS
831 //
832 //=================================================================================================
833 
834 //*************************************************************************************************
846 template< typename MT1 // Type of the left-hand side sparse matrix
847  , typename MT2 // Type of the right-hand side sparse matrix
848  , DisableIf_t< ( ( IsZero_v<MT1> || IsZero_v<MT2> ) &&
849  IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > ) ||
850  ( IsZero_v<MT1> && IsZero_v<MT2> ) >* = nullptr >
851 inline const SMatSMatAddExpr<MT1,MT2>
852  smatsmatadd( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
853 {
855 
856  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
857  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
858 
859  return SMatSMatAddExpr<MT1,MT2>( ~lhs, ~rhs );
860 }
862 //*************************************************************************************************
863 
864 
865 //*************************************************************************************************
879 template< typename MT1 // Type of the left-hand side sparse matrix
880  , typename MT2 // Type of the right-hand side sparse matrix
881  , EnableIf_t< !IsZero_v<MT1> && IsZero_v<MT2> &&
882  IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* = nullptr >
883 inline const MT1&
884  smatsmatadd( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
885 {
887 
888  UNUSED_PARAMETER( rhs );
889 
890  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
891  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
892 
893  return (~lhs);
894 }
896 //*************************************************************************************************
897 
898 
899 //*************************************************************************************************
913 template< typename MT1 // Type of the left-hand side sparse matrix
914  , typename MT2 // Type of the right-hand side sparse matrix
915  , EnableIf_t< IsZero_v<MT1> && !IsZero_v<MT2> &&
916  IsSame_v< ElementType_t<MT1>, ElementType_t<MT2> > >* = nullptr >
917 inline const MT2&
918  smatsmatadd( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
919 {
921 
922  UNUSED_PARAMETER( lhs );
923 
924  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
925  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
926 
927  return (~rhs);
928 }
930 //*************************************************************************************************
931 
932 
933 //*************************************************************************************************
945 template< typename MT1 // Type of the left-hand side sparse matrix
946  , typename MT2 // Type of the right-hand side sparse matrix
947  , EnableIf_t< IsZero_v<MT1> && IsZero_v<MT2> >* = nullptr >
948 inline decltype(auto)
949  smatsmatadd( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
950 {
952 
953  UNUSED_PARAMETER( rhs );
954 
955  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == (~rhs).rows() , "Invalid number of rows" );
956  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == (~rhs).columns(), "Invalid number of columns" );
957 
958  using ReturnType = const AddTrait_t< ResultType_t<MT1>, ResultType_t<MT2> >;
959 
962 
963  return ReturnType( (~lhs).rows(), (~lhs).columns() );
964 }
966 //*************************************************************************************************
967 
968 
969 //*************************************************************************************************
995 template< typename MT1 // Type of the left-hand side sparse matrix
996  , typename MT2 > // Type of the right-hand side sparse matrix
997 inline decltype(auto)
998  operator+( const SparseMatrix<MT1,false>& lhs, const SparseMatrix<MT2,false>& rhs )
999 {
1001 
1002  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1003  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1004  }
1005 
1006  return smatsmatadd( ~lhs, ~rhs );
1007 }
1008 //*************************************************************************************************
1009 
1010 } // namespace blaze
1011 
1012 #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.
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
Header file for the serial shim.
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatAddExpr.h:161
Header file for the IsSame and IsStrictlySame type traits.
Header file for the IsColumnMajorMatrix type trait.
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
CompositeType_t< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:104
Constraint on the data type.
CompositeType_t< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:103
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatAddExpr.h:259
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatAddExpr.h:212
Header file for the Computation base class.
Constraints on the storage order of matrix types.
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: SMatSMatAddExpr.h:155
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
SMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatSMatAddExpr class.
Definition: SMatSMatAddExpr.h:181
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.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:279
Header file for the SparseMatrix base class.
Constraint on the data type.
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
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_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
ResultType_t< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:102
ReturnType_t< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:106
#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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatAddExpr.h:248
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:269
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:311
OppositeType_t< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatAddExpr.h:153
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
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
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
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
If_t< IsExpression_v< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:167
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:310
Constraint on the data type.
Header file for the IsZero type trait.
static constexpr bool returnExpr
Compilation switch for the selection of the subscript operator return type.
Definition: SMatSMatAddExpr.h:116
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatAddExpr.h:291
#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
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: SMatSMatAddExpr.h:172
Header file for the isDefault shim.
decltype(std::declval< RN1 >()+std::declval< RN2 >()) ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatAddExpr.h:119
Constraint on the data type.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
#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
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatAddExpr.h:228
Header file for the IsComputation type trait class.
If_t< IsExpression_v< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:164
Expression object for sparse matrix-sparse matrix additions.The SMatSMatAddExpr class represents the ...
Definition: Forward.h:124
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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatAddExpr.h:303
const If_t< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatSMatAddExpr.h:158
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatAddExpr.h:154
Header file for the IntegralConstant class template.
ResultType_t< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:101
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatAddExpr.h:197
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:631
Header file for the IsResizable type trait.
ReturnType_t< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:105
constexpr bool IsSame_v
Auxiliary variable template for the IsSame type trait.The IsSame_v variable template provides a conve...
Definition: IsSame.h:161
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatAddExpr.h:238
#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
AddTrait_t< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatAddExpr.h:152
Header file for the IsExpression type trait class.
Header file for the function trace functionality.