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 <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
75 #include <blaze/util/Assert.h>
76 #include <blaze/util/DisableIf.h>
77 #include <blaze/util/EnableIf.h>
80 #include <blaze/util/mpl/And.h>
81 #include <blaze/util/mpl/If.h>
82 #include <blaze/util/mpl/Max.h>
83 #include <blaze/util/mpl/Or.h>
84 #include <blaze/util/Types.h>
86 
87 
88 namespace blaze {
89 
90 //=================================================================================================
91 //
92 // CLASS SMATSMATADDEXPR
93 //
94 //=================================================================================================
95 
96 //*************************************************************************************************
103 template< typename MT1 // Type of the left-hand side sparse matrix
104  , typename MT2 > // Type of the right-hand side sparse matrix
105 class SMatSMatAddExpr : public SparseMatrix< SMatSMatAddExpr<MT1,MT2>, false >
106  , private MatMatAddExpr
107  , private Computation
108 {
109  private:
110  //**Type definitions****************************************************************************
117  //**********************************************************************************************
118 
119  //**Return type evaluation**********************************************************************
121 
126  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
127 
130  //**********************************************************************************************
131 
132  //**Serial evaluation strategy******************************************************************
134 
139  template< typename T1, typename T2, typename T3 >
140  struct UseSymmetricKernel {
142  enum : bool { value = IsSymmetric<T2>::value && IsSymmetric<T3>::value };
143  };
145  //**********************************************************************************************
146 
147  //**Parallel evaluation strategy****************************************************************
149 
154  template< typename MT >
155  struct UseSMPAssign {
156  enum : bool { value = MT::smpAssignable };
157  };
159  //**********************************************************************************************
160 
161  public:
162  //**Type definitions****************************************************************************
168 
171 
173  typedef const ResultType CompositeType;
174 
176  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
177 
179  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
180  //**********************************************************************************************
181 
182  //**Compilation flags***************************************************************************
184  enum : bool { smpAssignable = false };
185  //**********************************************************************************************
186 
187  //**Constructor*********************************************************************************
193  explicit inline SMatSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
194  : lhs_( lhs ) // Left-hand side sparse matrix of the addition expression
195  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
196  {
197  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
198  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
199  }
200  //**********************************************************************************************
201 
202  //**Access operator*****************************************************************************
209  inline ReturnType operator()( size_t i, size_t j ) const {
210  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
211  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
212  return lhs_(i,j) + rhs_(i,j);
213  }
214  //**********************************************************************************************
215 
216  //**At function*********************************************************************************
224  inline ReturnType at( size_t i, size_t j ) const {
225  if( i >= lhs_.rows() ) {
226  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
227  }
228  if( j >= lhs_.columns() ) {
229  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
230  }
231  return (*this)(i,j);
232  }
233  //**********************************************************************************************
234 
235  //**Rows function*******************************************************************************
240  inline size_t rows() const noexcept {
241  return lhs_.rows();
242  }
243  //**********************************************************************************************
244 
245  //**Columns function****************************************************************************
250  inline size_t columns() const noexcept {
251  return lhs_.columns();
252  }
253  //**********************************************************************************************
254 
255  //**NonZeros function***************************************************************************
260  inline size_t nonZeros() const {
261  return lhs_.nonZeros() + rhs_.nonZeros();
262  }
263  //**********************************************************************************************
264 
265  //**NonZeros function***************************************************************************
271  inline size_t nonZeros( size_t i ) const {
272  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
273  }
274  //**********************************************************************************************
275 
276  //**Left operand access*************************************************************************
281  inline LeftOperand leftOperand() const noexcept {
282  return lhs_;
283  }
284  //**********************************************************************************************
285 
286  //**Right operand access************************************************************************
291  inline RightOperand rightOperand() const noexcept {
292  return rhs_;
293  }
294  //**********************************************************************************************
295 
296  //**********************************************************************************************
302  template< typename T >
303  inline bool canAlias( const T* alias ) const noexcept {
304  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
305  }
306  //**********************************************************************************************
307 
308  //**********************************************************************************************
314  template< typename T >
315  inline bool isAliased( const T* alias ) const noexcept {
316  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
317  }
318  //**********************************************************************************************
319 
320  private:
321  //**Member variables****************************************************************************
322  LeftOperand lhs_;
323  RightOperand rhs_;
324  //**********************************************************************************************
325 
326  //**Assignment to dense matrices****************************************************************
338  template< typename MT // Type of the target dense matrix
339  , bool SO > // Storage order of the target dense matrix
340  friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
341  {
343 
344  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
345  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
346 
347  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
348 
349  assign( ~lhs, rhs.lhs_ );
350 
351  if( !IsResizable< ElementType_<MT> >::value ) {
352  addAssign( ~lhs, rhs.rhs_ );
353  }
354  else
355  {
356  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
357 
358  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
359  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
360  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
361  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
362 
363  for( size_t i=0UL; i<(~lhs).rows(); ++i ) {
364  const RightIterator end( B.end(i) );
365  for( RightIterator element=B.begin(i); element!=end; ++element ) {
366  if( isDefault( (~lhs)(i,element->index()) ) )
367  (~lhs)(i,element->index()) = element->value();
368  else
369  (~lhs)(i,element->index()) += element->value();
370  }
371  }
372  }
373  }
375  //**********************************************************************************************
376 
377  //**Assignment to row-major sparse matrices*****************************************************
389  template< typename MT > // Type of the target sparse matrix
390  friend inline void assign( SparseMatrix<MT,false>& lhs, const SMatSMatAddExpr& rhs )
391  {
393 
394  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
395  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
396 
397  typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
398  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
399 
400  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
401  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
402 
403  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
404  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
405  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
406  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
407  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
408  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
409 
410  // Final memory allocation (based on the evaluated operands)
411  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
412 
413  // Performing the matrix addition
414  for( size_t i=0UL; i<(~lhs).rows(); ++i )
415  {
416  const LeftIterator lend( A.end(i) );
417  const RightIterator rend( B.end(i) );
418 
419  LeftIterator l( A.begin(i) );
420  RightIterator r( B.begin(i) );
421 
422  while( l != lend && r != rend )
423  {
424  if( l->index() < r->index() ) {
425  (~lhs).append( i, l->index(), l->value() );
426  ++l;
427  }
428  else if( l->index() > r->index() ) {
429  (~lhs).append( i, r->index(), r->value() );
430  ++r;
431  }
432  else {
433  (~lhs).append( i, l->index(), l->value()+r->value() );
434  ++l;
435  ++r;
436  }
437  }
438 
439  while( l != lend ) {
440  (~lhs).append( i, l->index(), l->value() );
441  ++l;
442  }
443 
444  while( r != rend ) {
445  (~lhs).append( i, r->index(), r->value() );
446  ++r;
447  }
448 
449  (~lhs).finalize( i );
450  }
451  }
453  //**********************************************************************************************
454 
455  //**Assignment to column-major sparse matrices**************************************************
467  template< typename MT > // Type of the target sparse matrix
468  friend inline DisableIf_< UseSymmetricKernel<MT,MT1,MT2> >
469  assign( SparseMatrix<MT,true>& lhs, const SMatSMatAddExpr& rhs )
470  {
472 
474 
475  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
476  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
477 
478  typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
479  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
480 
481  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
482  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
483 
484  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
485  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
486  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
487  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
488  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
489  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
490 
491  const size_t m( A.rows() );
492  const size_t n( A.columns() );
493 
494  // Counting the number of elements per column
495  std::vector<size_t> nonzeros( n, 0UL );
496  for( size_t i=0UL; i<m; ++i )
497  {
498  const LeftIterator lend( A.end(i) );
499  const RightIterator rend( B.end(i) );
500 
501  LeftIterator l( A.begin(i) );
502  RightIterator r( B.begin(i) );
503 
504  while( l != lend && r != rend )
505  {
506  if( l->index() < r->index() ) {
507  ++nonzeros[l->index()];
508  ++l;
509  }
510  else if( l->index() > r->index() ) {
511  ++nonzeros[r->index()];
512  ++r;
513  }
514  else {
515  ++nonzeros[l->index()];
516  ++l;
517  ++r;
518  }
519  }
520 
521  while( l != lend ) {
522  ++nonzeros[l->index()];
523  ++l;
524  }
525 
526  while( r != rend ) {
527  ++nonzeros[r->index()];
528  ++r;
529  }
530  }
531 
532  // Resizing the left-hand side sparse matrix
533  for( size_t j=0UL; j<n; ++j ) {
534  (~lhs).reserve( j, nonzeros[j] );
535  }
536 
537  // Performing the matrix addition
538  for( size_t i=0UL; i<m; ++i )
539  {
540  const LeftIterator lend( A.end(i) );
541  const RightIterator rend( B.end(i) );
542 
543  LeftIterator l( A.begin(i) );
544  RightIterator r( B.begin(i) );
545 
546  while( l != lend && r != rend )
547  {
548  if( l->index() < r->index() ) {
549  (~lhs).append( i, l->index(), l->value() );
550  ++l;
551  }
552  else if( l->index() > r->index() ) {
553  (~lhs).append( i, r->index(), r->value() );
554  ++r;
555  }
556  else {
557  (~lhs).append( i, l->index(), l->value()+r->value() );
558  ++l;
559  ++r;
560  }
561  }
562 
563  while( l != lend ) {
564  (~lhs).append( i, l->index(), l->value() );
565  ++l;
566  }
567 
568  while( r != rend ) {
569  (~lhs).append( i, r->index(), r->value() );
570  ++r;
571  }
572  }
573  }
575  //**********************************************************************************************
576 
577  //**Assignment to column-major sparse matrices**************************************************
589  template< typename MT > // Type of the target sparse matrix
590  friend inline EnableIf_< UseSymmetricKernel<MT,MT1,MT2> >
591  assign( SparseMatrix<MT,true>& lhs, const SMatSMatAddExpr& rhs )
592  {
594 
596 
597  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
598  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
599 
600  assign( ~lhs, trans( rhs.lhs_ ) + trans( rhs.rhs_ ) );
601  }
603  //**********************************************************************************************
604 
605  //**Addition assignment to dense matrices*******************************************************
617  template< typename MT // Type of the target dense matrix
618  , bool SO > // Storage order of the target dense matrix
619  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
620  {
622 
623  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
624  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
625 
626  addAssign( ~lhs, rhs.lhs_ );
627  addAssign( ~lhs, rhs.rhs_ );
628  }
630  //**********************************************************************************************
631 
632  //**Addition assignment to sparse matrices******************************************************
633  // No special implementation for the addition assignment to sparse matrices.
634  //**********************************************************************************************
635 
636  //**Subtraction assignment to dense matrices****************************************************
648  template< typename MT // Type of the target dense matrix
649  , bool SO > // Storage order of the target dense matrix
650  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
651  {
653 
654  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
655  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
656 
657  subAssign( ~lhs, rhs.lhs_ );
658  subAssign( ~lhs, rhs.rhs_ );
659  }
661  //**********************************************************************************************
662 
663  //**Subtraction assignment to sparse matrices***************************************************
664  // No special implementation for the subtraction assignment to sparse matrices.
665  //**********************************************************************************************
666 
667  //**Multiplication assignment to dense matrices*************************************************
668  // No special implementation for the multiplication assignment to dense matrices.
669  //**********************************************************************************************
670 
671  //**Multiplication assignment to sparse matrices************************************************
672  // No special implementation for the multiplication assignment to sparse matrices.
673  //**********************************************************************************************
674 
675  //**SMP assignment to dense matrices************************************************************
676  // No special implementation for the SMP assignment to dense matrices.
677  //**********************************************************************************************
678 
679  //**SMP assignment to sparse matrices***********************************************************
680  // No special implementation for the SMP assignment to sparse matrices.
681  //**********************************************************************************************
682 
683  //**SMP addition assignment to dense matrices***************************************************
697  template< typename MT // Type of the target dense matrix
698  , bool SO > // Storage order of the target dense matrix
699  friend inline EnableIf_< UseSMPAssign<MT> >
700  smpAddAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
701  {
703 
704  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
705  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
706 
707  smpAddAssign( ~lhs, rhs.lhs_ );
708  smpAddAssign( ~lhs, rhs.rhs_ );
709  }
711  //**********************************************************************************************
712 
713  //**SMP addition assignment to sparse matrices**************************************************
714  // No special implementation for the SMP addition assignment to sparse matrices.
715  //**********************************************************************************************
716 
717  //**SMP subtraction assignment to dense matrices************************************************
731  template< typename MT // Type of the target dense matrix
732  , bool SO > // Storage order of the target dense matrix
733  friend inline EnableIf_< UseSMPAssign<MT> >
734  smpSubAssign( DenseMatrix<MT,SO>& lhs, const SMatSMatAddExpr& rhs )
735  {
737 
738  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
739  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
740 
741  smpSubAssign( ~lhs, rhs.lhs_ );
742  smpSubAssign( ~lhs, rhs.rhs_ );
743  }
745  //**********************************************************************************************
746 
747  //**SMP subtraction assignment to sparse matrices***********************************************
748  // No special implementation for the SMP subtraction assignment to sparse matrices.
749  //**********************************************************************************************
750 
751  //**SMP multiplication assignment to dense matrices*********************************************
752  // No special implementation for the SMP multiplication assignment to dense matrices.
753  //**********************************************************************************************
754 
755  //**SMP multiplication assignment to sparse matrices********************************************
756  // No special implementation for the SMP multiplication assignment to sparse matrices.
757  //**********************************************************************************************
758 
759  //**Compile time checks*************************************************************************
767  //**********************************************************************************************
768 };
769 //*************************************************************************************************
770 
771 
772 
773 
774 //=================================================================================================
775 //
776 // GLOBAL BINARY ARITHMETIC OPERATORS
777 //
778 //=================================================================================================
779 
780 //*************************************************************************************************
806 template< typename T1 // Type of the left-hand side sparse matrix
807  , typename T2 > // Type of the right-hand side sparse matrix
808 inline const SMatSMatAddExpr<T1,T2>
810 {
812 
813  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
814  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
815  }
816 
817  return SMatSMatAddExpr<T1,T2>( ~lhs, ~rhs );
818 }
819 //*************************************************************************************************
820 
821 
822 
823 
824 //=================================================================================================
825 //
826 // ROWS SPECIALIZATIONS
827 //
828 //=================================================================================================
829 
830 //*************************************************************************************************
832 template< typename MT1, typename MT2 >
833 struct Rows< SMatSMatAddExpr<MT1,MT2> >
834  : public Max< Rows<MT1>, Rows<MT2> >
835 {};
837 //*************************************************************************************************
838 
839 
840 
841 
842 //=================================================================================================
843 //
844 // COLUMNS SPECIALIZATIONS
845 //
846 //=================================================================================================
847 
848 //*************************************************************************************************
850 template< typename MT1, typename MT2 >
851 struct Columns< SMatSMatAddExpr<MT1,MT2> >
852  : public Max< Columns<MT1>, Columns<MT2> >
853 {};
855 //*************************************************************************************************
856 
857 
858 
859 
860 //=================================================================================================
861 //
862 // ISSYMMETRIC SPECIALIZATIONS
863 //
864 //=================================================================================================
865 
866 //*************************************************************************************************
868 template< typename MT1, typename MT2 >
869 struct IsSymmetric< SMatSMatAddExpr<MT1,MT2> >
870  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
871 {};
873 //*************************************************************************************************
874 
875 
876 
877 
878 //=================================================================================================
879 //
880 // ISHERMITIAN SPECIALIZATIONS
881 //
882 //=================================================================================================
883 
884 //*************************************************************************************************
886 template< typename MT1, typename MT2 >
887 struct IsHermitian< SMatSMatAddExpr<MT1,MT2> >
888  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
889 {};
891 //*************************************************************************************************
892 
893 
894 
895 
896 //=================================================================================================
897 //
898 // ISLOWER SPECIALIZATIONS
899 //
900 //=================================================================================================
901 
902 //*************************************************************************************************
904 template< typename MT1, typename MT2 >
905 struct IsLower< SMatSMatAddExpr<MT1,MT2> >
906  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
907 {};
909 //*************************************************************************************************
910 
911 
912 
913 
914 //=================================================================================================
915 //
916 // ISUNILOWER SPECIALIZATIONS
917 //
918 //=================================================================================================
919 
920 //*************************************************************************************************
922 template< typename MT1, typename MT2 >
923 struct IsUniLower< SMatSMatAddExpr<MT1,MT2> >
924  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
925  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
926 {};
928 //*************************************************************************************************
929 
930 
931 
932 
933 //=================================================================================================
934 //
935 // ISSTRICTLYLOWER SPECIALIZATIONS
936 //
937 //=================================================================================================
938 
939 //*************************************************************************************************
941 template< typename MT1, typename MT2 >
942 struct IsStrictlyLower< SMatSMatAddExpr<MT1,MT2> >
943  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
944 {};
946 //*************************************************************************************************
947 
948 
949 
950 
951 //=================================================================================================
952 //
953 // ISUPPER SPECIALIZATIONS
954 //
955 //=================================================================================================
956 
957 //*************************************************************************************************
959 template< typename MT1, typename MT2 >
960 struct IsUpper< SMatSMatAddExpr<MT1,MT2> >
961  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
962 {};
964 //*************************************************************************************************
965 
966 
967 
968 
969 //=================================================================================================
970 //
971 // ISUNIUPPER SPECIALIZATIONS
972 //
973 //=================================================================================================
974 
975 //*************************************************************************************************
977 template< typename MT1, typename MT2 >
978 struct IsUniUpper< SMatSMatAddExpr<MT1,MT2> >
979  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
980  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
981 {};
983 //*************************************************************************************************
984 
985 
986 
987 
988 //=================================================================================================
989 //
990 // ISSTRICTLYUPPER SPECIALIZATIONS
991 //
992 //=================================================================================================
993 
994 //*************************************************************************************************
996 template< typename MT1, typename MT2 >
997 struct IsStrictlyUpper< SMatSMatAddExpr<MT1,MT2> >
998  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
999 {};
1001 //*************************************************************************************************
1002 
1003 
1004 
1005 
1006 //=================================================================================================
1007 //
1008 // EXPRESSION TRAIT SPECIALIZATIONS
1009 //
1010 //=================================================================================================
1011 
1012 //*************************************************************************************************
1014 template< typename MT1, typename MT2, bool AF >
1015 struct SubmatrixExprTrait< SMatSMatAddExpr<MT1,MT2>, AF >
1016 {
1017  public:
1018  //**********************************************************************************************
1019  using Type = AddExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1020  , SubmatrixExprTrait_<const MT2,AF> >;
1021  //**********************************************************************************************
1022 };
1024 //*************************************************************************************************
1025 
1026 
1027 //*************************************************************************************************
1029 template< typename MT1, typename MT2 >
1030 struct RowExprTrait< SMatSMatAddExpr<MT1,MT2> >
1031 {
1032  public:
1033  //**********************************************************************************************
1034  using Type = AddExprTrait_< RowExprTrait_<const MT1>
1035  , RowExprTrait_<const MT2> >;
1036  //**********************************************************************************************
1037 };
1039 //*************************************************************************************************
1040 
1041 
1042 //*************************************************************************************************
1044 template< typename MT1, typename MT2 >
1045 struct ColumnExprTrait< SMatSMatAddExpr<MT1,MT2> >
1046 {
1047  public:
1048  //**********************************************************************************************
1049  using Type = AddExprTrait_< ColumnExprTrait_<const MT1>
1050  , ColumnExprTrait_<const MT2> >;
1051  //**********************************************************************************************
1052 };
1054 //*************************************************************************************************
1055 
1056 } // namespace blaze
1057 
1058 #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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatAddExpr.h:260
Header file for auxiliary alias declarations.
Header file for the Max class template.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
Header file for basic type definitions.
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the serial shim.
Header file for the ColumnExprTrait class template.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatAddExpr.h:303
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
Header file for the And class template.
Header file for the AddExprTrait class template.
SMatSMatAddExpr< MT1, MT2 > This
Type of this SMatSMatAddExpr instance.
Definition: SMatSMatAddExpr.h:163
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatAddExpr.h:209
Header file for the Computation base class.
Constraints on the storage order of matrix types.
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
SMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatSMatAddExpr class.
Definition: SMatSMatAddExpr.h:193
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatSMatAddExpr.h:167
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
Header file for the SparseMatrix base class.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatAddExpr.h:271
Constraint on the data type.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:176
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Header file for the DisableIf class template.
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:219
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatSMatAddExpr.h:224
Header file for the Or class template.
#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
Header file for the Columns type trait.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:114
Header file for the IsLower type trait.
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:330
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:323
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatAddExpr.h:165
BLAZE_ALWAYS_INLINE 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:254
#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:109
Header file for the RowExprTrait class template.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:113
Header file for all forward declarations for expression class templates.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatAddExpr.h:315
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:291
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:111
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatSMatAddExpr.h:164
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#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
Header file for the SubmatrixExprTrait class template.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:112
#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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatSMatAddExpr.h:250
Header file for run time assertion macros.
Header file for the addition trait.
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatSMatAddExpr.h:322
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatAddExpr.h:166
Constraint on the data type.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatSMatAddExpr.h:240
Header file for the isDefault shim.
Constraint on the data type.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatAddExpr.h:281
Constraints on the storage order of matrix types.
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:179
Header file for the MatMatAddExpr base class.
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatSMatAddExpr.h:129
Header file for the RemoveReference type trait.
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:115
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:314
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: SMatSMatAddExpr.h:116
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatAddExpr.h:173
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Header file for the IsComputation type trait class.
Expression object for sparse matrix-sparse matrix additions.The SMatSMatAddExpr class represents the ...
Definition: Forward.h:98
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
Header file for the IntegralConstant class template.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatSMatAddExpr.h:170
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
Header file for the IsHermitian type trait.
Header file for the IsResizable type trait.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:245
#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 FunctionTrace class.