TSMatTSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATADDEXPR_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 TSMATTSMATADDEXPR
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 TSMatTSMatAddExpr : public SparseMatrix< TSMatTSMatAddExpr<MT1,MT2>, true >
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 TSMatTSMatAddExpr( 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****************************************************************
339  template< typename MT // Type of the target dense matrix
340  , bool SO > // Storage order of the target dense matrix
341  friend inline void assign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
342  {
344 
345  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
346  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
347 
348  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
349 
350  assign( ~lhs, rhs.lhs_ );
351 
352  if( !IsResizable< ElementType_<MT> >::value ) {
353  addAssign( ~lhs, rhs.rhs_ );
354  }
355  else
356  {
357  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
358 
359  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
360  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
361  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
362  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
363 
364  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
365  const RightIterator end( B.end(j) );
366  for( RightIterator element=B.begin(j); element!=end; ++element ) {
367  if( isDefault( (~lhs)(element->index(),j) ) )
368  (~lhs)(element->index(),j) = element->value();
369  else
370  (~lhs)(element->index(),j) += element->value();
371  }
372  }
373  }
374  }
376  //**********************************************************************************************
377 
378  //**Assignment to row-major sparse matrices*****************************************************
391  template< typename MT > // Type of the target sparse matrix
393  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatAddExpr& rhs )
394  {
396 
398 
399  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
400  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
401 
402  typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
403  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
404 
405  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
406  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
407 
408  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
409  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
410  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
411  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
412  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
413  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
414 
415  const size_t m( rhs.rows() );
416  const size_t n( rhs.columns() );
417 
418  // Counting the number of elements per column
419  std::vector<size_t> nonzeros( m, 0UL );
420  for( size_t j=0UL; j<n; ++j )
421  {
422  const LeftIterator lend( A.end(j) );
423  const RightIterator rend( B.end(j) );
424 
425  LeftIterator l( A.begin(j) );
426  RightIterator r( B.begin(j) );
427 
428  while( l != lend && r != rend )
429  {
430  if( l->index() < r->index() ) {
431  ++nonzeros[l->index()];
432  ++l;
433  }
434  else if( l->index() > r->index() ) {
435  ++nonzeros[r->index()];
436  ++r;
437  }
438  else {
439  ++nonzeros[l->index()];
440  ++l;
441  ++r;
442  }
443  }
444 
445  while( l != lend ) {
446  ++nonzeros[l->index()];
447  ++l;
448  }
449 
450  while( r != rend ) {
451  ++nonzeros[r->index()];
452  ++r;
453  }
454  }
455 
456  // Resizing the left-hand side sparse matrix
457  for( size_t i=0UL; i<m; ++i ) {
458  (~lhs).reserve( i, nonzeros[i] );
459  }
460 
461  // Performing the matrix addition
462  for( size_t j=0UL; j<n; ++j )
463  {
464  const LeftIterator lend( A.end(j) );
465  const RightIterator rend( B.end(j) );
466 
467  LeftIterator l( A.begin(j) );
468  RightIterator r( B.begin(j) );
469 
470  while( l != lend && r != rend )
471  {
472  if( l->index() < r->index() ) {
473  (~lhs).append( l->index(), j, l->value() );
474  ++l;
475  }
476  else if( l->index() > r->index() ) {
477  (~lhs).append( r->index(), j, r->value() );
478  ++r;
479  }
480  else {
481  (~lhs).append( l->index(), j, l->value()+r->value() );
482  ++l;
483  ++r;
484  }
485  }
486 
487  while( l != lend ) {
488  (~lhs).append( l->index(), j, l->value() );
489  ++l;
490  }
491 
492  while( r != rend ) {
493  (~lhs).append( r->index(), j, r->value() );
494  ++r;
495  }
496  }
497  }
499  //**********************************************************************************************
500 
501  //**Assignment to row-major sparse matrices*****************************************************
514  template< typename MT > // Type of the target sparse matrix
515  friend inline EnableIf_< UseSymmetricKernel<MT,MT1,MT2> >
516  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatAddExpr& rhs )
517  {
519 
521 
522  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
523  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
524 
525  assign( ~lhs, trans( rhs.lhs_ ) + trans( rhs.rhs_ ) );
526  }
528  //**********************************************************************************************
529 
530  //**Assignment to column-major sparse matrices**************************************************
543  template< typename MT > // Type of the target sparse matrix
544  friend inline void assign( SparseMatrix<MT,true>& lhs, const TSMatTSMatAddExpr& rhs )
545  {
547 
548  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
549  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
550 
551  typedef ConstIterator_< RemoveReference_<CT1> > LeftIterator;
552  typedef ConstIterator_< RemoveReference_<CT2> > RightIterator;
553 
554  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
555  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
556 
557  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
558  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
559  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
560  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
561  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
562  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
563 
564  // Final memory allocation (based on the evaluated operands)
565  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
566 
567  // Performing the matrix addition
568  for( size_t j=0UL; j<(~lhs).columns(); ++j )
569  {
570  const LeftIterator lend( A.end(j) );
571  const RightIterator rend( B.end(j) );
572 
573  LeftIterator l( A.begin(j) );
574  RightIterator r( B.begin(j) );
575 
576  while( l != lend && r != rend )
577  {
578  if( l->index() < r->index() ) {
579  (~lhs).append( l->index(), j, l->value() );
580  ++l;
581  }
582  else if( l->index() > r->index() ) {
583  (~lhs).append( r->index(), j, r->value() );
584  ++r;
585  }
586  else {
587  (~lhs).append( l->index(), j, l->value()+r->value() );
588  ++l;
589  ++r;
590  }
591  }
592 
593  while( l != lend ) {
594  (~lhs).append( l->index(), j, l->value() );
595  ++l;
596  }
597 
598  while( r != rend ) {
599  (~lhs).append( r->index(), j, r->value() );
600  ++r;
601  }
602 
603  (~lhs).finalize( j );
604  }
605  }
607  //**********************************************************************************************
608 
609  //**Addition assignment to dense matrices*******************************************************
622  template< typename MT // Type of the target dense matrix
623  , bool SO > // Storage order of the target dense matrix
624  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
625  {
627 
628  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
629  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
630 
631  addAssign( ~lhs, rhs.lhs_ );
632  addAssign( ~lhs, rhs.rhs_ );
633  }
635  //**********************************************************************************************
636 
637  //**Addition assignment to sparse matrices******************************************************
638  // No special implementation for the addition assignment to sparse matrices.
639  //**********************************************************************************************
640 
641  //**Subtraction assignment to dense matrices****************************************************
654  template< typename MT // Type of the target dense matrix
655  , bool SO > // Storage order of the target dense matrix
656  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
657  {
659 
660  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
661  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
662 
663  subAssign( ~lhs, rhs.lhs_ );
664  subAssign( ~lhs, rhs.rhs_ );
665  }
667  //**********************************************************************************************
668 
669  //**Subtraction assignment to sparse matrices***************************************************
670  // No special implementation for the subtraction assignment to sparse matrices.
671  //**********************************************************************************************
672 
673  //**Multiplication assignment to dense matrices*************************************************
674  // No special implementation for the multiplication assignment to dense matrices.
675  //**********************************************************************************************
676 
677  //**Multiplication assignment to sparse matrices************************************************
678  // No special implementation for the multiplication assignment to sparse matrices.
679  //**********************************************************************************************
680 
681  //**SMP assignment to dense matrices************************************************************
682  // No special implementation for the SMP assignment to dense matrices.
683  //**********************************************************************************************
684 
685  //**SMP assignment to sparse matrices***********************************************************
686  // No special implementation for the SMP assignment to sparse matrices.
687  //**********************************************************************************************
688 
689  //**SMP addition assignment to dense matrices***************************************************
704  template< typename MT // Type of the target dense matrix
705  , bool SO > // Storage order of the target dense matrix
706  friend inline EnableIf_< UseSMPAssign<MT> >
707  smpAddAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
708  {
710 
711  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
712  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
713 
714  smpAddAssign( ~lhs, rhs.lhs_ );
715  smpAddAssign( ~lhs, rhs.rhs_ );
716  }
718  //**********************************************************************************************
719 
720  //**SMP addition assignment to sparse matrices**************************************************
721  // No special implementation for the SMP addition assignment to sparse matrices.
722  //**********************************************************************************************
723 
724  //**SMP subtraction assignment to dense matrices************************************************
739  template< typename MT // Type of the target dense matrix
740  , bool SO > // Storage order of the target dense matrix
741  friend inline EnableIf_< UseSMPAssign<MT> >
742  smpSubAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
743  {
745 
746  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
747  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
748 
749  smpSubAssign( ~lhs, rhs.lhs_ );
750  smpSubAssign( ~lhs, rhs.rhs_ );
751  }
753  //**********************************************************************************************
754 
755  //**SMP subtraction assignment to sparse matrices***********************************************
756  // No special implementation for the SMP subtraction assignment to sparse matrices.
757  //**********************************************************************************************
758 
759  //**SMP multiplication assignment to dense matrices*********************************************
760  // No special implementation for the SMP multiplication assignment to dense matrices.
761  //**********************************************************************************************
762 
763  //**SMP multiplication assignment to sparse matrices********************************************
764  // No special implementation for the SMP multiplication assignment to sparse matrices.
765  //**********************************************************************************************
766 
767  //**Compile time checks*************************************************************************
775  //**********************************************************************************************
776 };
777 //*************************************************************************************************
778 
779 
780 
781 
782 //=================================================================================================
783 //
784 // GLOBAL BINARY ARITHMETIC OPERATORS
785 //
786 //=================================================================================================
787 
788 //*************************************************************************************************
814 template< typename T1 // Type of the left-hand side sparse matrix
815  , typename T2 > // Type of the right-hand side sparse matrix
816 inline const TSMatTSMatAddExpr<T1,T2>
818 {
820 
821  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
822  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
823  }
824 
825  return TSMatTSMatAddExpr<T1,T2>( ~lhs, ~rhs );
826 }
827 //*************************************************************************************************
828 
829 
830 
831 
832 //=================================================================================================
833 //
834 // ROWS SPECIALIZATIONS
835 //
836 //=================================================================================================
837 
838 //*************************************************************************************************
840 template< typename MT1, typename MT2 >
841 struct Rows< TSMatTSMatAddExpr<MT1,MT2> >
842  : public Max< Rows<MT1>, Rows<MT2> >
843 {};
845 //*************************************************************************************************
846 
847 
848 
849 
850 //=================================================================================================
851 //
852 // COLUMNS SPECIALIZATIONS
853 //
854 //=================================================================================================
855 
856 //*************************************************************************************************
858 template< typename MT1, typename MT2 >
859 struct Columns< TSMatTSMatAddExpr<MT1,MT2> >
860  : public Max< Columns<MT1>, Columns<MT2> >
861 {};
863 //*************************************************************************************************
864 
865 
866 
867 
868 //=================================================================================================
869 //
870 // ISSYMMETRIC SPECIALIZATIONS
871 //
872 //=================================================================================================
873 
874 //*************************************************************************************************
876 template< typename MT1, typename MT2 >
877 struct IsSymmetric< TSMatTSMatAddExpr<MT1,MT2> >
878  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
879 {};
881 //*************************************************************************************************
882 
883 
884 
885 
886 //=================================================================================================
887 //
888 // ISHERMITIAN SPECIALIZATIONS
889 //
890 //=================================================================================================
891 
892 //*************************************************************************************************
894 template< typename MT1, typename MT2 >
895 struct IsHermitian< TSMatTSMatAddExpr<MT1,MT2> >
896  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
897 {};
899 //*************************************************************************************************
900 
901 
902 
903 
904 //=================================================================================================
905 //
906 // ISLOWER SPECIALIZATIONS
907 //
908 //=================================================================================================
909 
910 //*************************************************************************************************
912 template< typename MT1, typename MT2 >
913 struct IsLower< TSMatTSMatAddExpr<MT1,MT2> >
914  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
915 {};
917 //*************************************************************************************************
918 
919 
920 
921 
922 //=================================================================================================
923 //
924 // ISUNILOWER SPECIALIZATIONS
925 //
926 //=================================================================================================
927 
928 //*************************************************************************************************
930 template< typename MT1, typename MT2 >
931 struct IsUniLower< TSMatTSMatAddExpr<MT1,MT2> >
932  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
933  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
934 {};
936 //*************************************************************************************************
937 
938 
939 
940 
941 //=================================================================================================
942 //
943 // ISSTRICTLYLOWER SPECIALIZATIONS
944 //
945 //=================================================================================================
946 
947 //*************************************************************************************************
949 template< typename MT1, typename MT2 >
950 struct IsStrictlyLower< TSMatTSMatAddExpr<MT1,MT2> >
951  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
952 {};
954 //*************************************************************************************************
955 
956 
957 
958 
959 //=================================================================================================
960 //
961 // ISUPPER SPECIALIZATIONS
962 //
963 //=================================================================================================
964 
965 //*************************************************************************************************
967 template< typename MT1, typename MT2 >
968 struct IsUpper< TSMatTSMatAddExpr<MT1,MT2> >
969  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
970 {};
972 //*************************************************************************************************
973 
974 
975 
976 
977 //=================================================================================================
978 //
979 // ISUNIUPPER SPECIALIZATIONS
980 //
981 //=================================================================================================
982 
983 //*************************************************************************************************
985 template< typename MT1, typename MT2 >
986 struct IsUniUpper< TSMatTSMatAddExpr<MT1,MT2> >
987  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
988  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
989 {};
991 //*************************************************************************************************
992 
993 
994 
995 
996 //=================================================================================================
997 //
998 // ISSTRICTLYUPPER SPECIALIZATIONS
999 //
1000 //=================================================================================================
1001 
1002 //*************************************************************************************************
1004 template< typename MT1, typename MT2 >
1005 struct IsStrictlyUpper< TSMatTSMatAddExpr<MT1,MT2> >
1006  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1007 {};
1009 //*************************************************************************************************
1010 
1011 
1012 
1013 
1014 //=================================================================================================
1015 //
1016 // EXPRESSION TRAIT SPECIALIZATIONS
1017 //
1018 //=================================================================================================
1019 
1020 //*************************************************************************************************
1022 template< typename MT1, typename MT2, bool AF >
1023 struct SubmatrixExprTrait< TSMatTSMatAddExpr<MT1,MT2>, AF >
1024 {
1025  public:
1026  //**********************************************************************************************
1027  using Type = AddExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1028  , SubmatrixExprTrait_<const MT2,AF> >;
1029  //**********************************************************************************************
1030 };
1032 //*************************************************************************************************
1033 
1034 
1035 //*************************************************************************************************
1037 template< typename MT1, typename MT2 >
1038 struct RowExprTrait< TSMatTSMatAddExpr<MT1,MT2> >
1039 {
1040  public:
1041  //**********************************************************************************************
1042  using Type = AddExprTrait_< RowExprTrait_<const MT1>
1043  , RowExprTrait_<const MT2> >;
1044  //**********************************************************************************************
1045 };
1047 //*************************************************************************************************
1048 
1049 
1050 //*************************************************************************************************
1052 template< typename MT1, typename MT2 >
1053 struct ColumnExprTrait< TSMatTSMatAddExpr<MT1,MT2> >
1054 {
1055  public:
1056  //**********************************************************************************************
1057  using Type = AddExprTrait_< ColumnExprTrait_<const MT1>
1058  , ColumnExprTrait_<const MT2> >;
1059  //**********************************************************************************************
1060 };
1062 //*************************************************************************************************
1063 
1064 } // namespace blaze
1065 
1066 #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 Max class template.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatTSMatAddExpr.h:167
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:116
TSMatTSMatAddExpr< MT1, MT2 > This
Type of this TSMatTSMatAddExpr instance.
Definition: TSMatTSMatAddExpr.h:163
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.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatAddExpr.h:271
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.
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:322
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:115
Header file for the ColumnExprTrait class template.
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatAddExpr.h:129
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
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
Header file for the And class template.
Header file for the AddExprTrait class template.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:209
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
Header file for the Computation base class.
Constraints on the storage order of matrix types.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:112
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:165
TSMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatTSMatAddExpr class.
Definition: TSMatTSMatAddExpr.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
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
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:179
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.
Constraint on the data type.
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
Expression object for transpose sparse matrix-transpose sparse matrix additions.The TSMatTSMatAddExpr...
Definition: Forward.h:147
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:111
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:323
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.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatTSMatAddExpr.h:240
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:291
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:114
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the IsLower type trait.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:113
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
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:164
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:281
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.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatAddExpr.h:303
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.
#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 nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatAddExpr.h:260
Header file for run time assertion macros.
Header file for the addition trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatAddExpr.h:315
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
Constraint on the data type.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:176
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatAddExpr.h:173
Header file for the isDefault shim.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:170
Constraint on the data type.
Constraints on the storage order of matrix types.
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
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
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
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.
#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.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:224
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.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatTSMatAddExpr.h:250
Header file for the IsHermitian type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:166
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.