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 
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.h>
76 #include <blaze/util/Exception.h>
78 #include <blaze/util/mpl/And.h>
79 #include <blaze/util/mpl/Max.h>
80 #include <blaze/util/mpl/Or.h>
81 #include <blaze/util/SelectType.h>
82 #include <blaze/util/Types.h>
85 
86 
87 namespace blaze {
88 
89 //=================================================================================================
90 //
91 // CLASS TSMATTSMATADDEXPR
92 //
93 //=================================================================================================
94 
95 //*************************************************************************************************
102 template< typename MT1 // Type of the left-hand side sparse matrix
103  , typename MT2 > // Type of the right-hand side sparse matrix
104 class TSMatTSMatAddExpr : public SparseMatrix< TSMatTSMatAddExpr<MT1,MT2>, true >
105  , private MatMatAddExpr
106  , private Computation
107 {
108  private:
109  //**Type definitions****************************************************************************
110  typedef typename MT1::ResultType RT1;
111  typedef typename MT2::ResultType RT2;
112  typedef typename MT1::ReturnType RN1;
113  typedef typename MT2::ReturnType RN2;
114  typedef typename MT1::CompositeType CT1;
115  typedef typename MT2::CompositeType CT2;
116  //**********************************************************************************************
117 
118  //**Return type evaluation**********************************************************************
120 
125  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
126 
129  //**********************************************************************************************
130 
131  //**Serial evaluation strategy******************************************************************
133 
138  template< typename T1, typename T2, typename T3 >
139  struct UseSymmetricKernel {
142  };
144  //**********************************************************************************************
145 
146  //**Parallel evaluation strategy****************************************************************
148 
153  template< typename MT >
154  struct UseSMPAssign {
155  enum { value = MT::smpAssignable };
156  };
158  //**********************************************************************************************
159 
160  public:
161  //**Type definitions****************************************************************************
167 
170 
172  typedef const ResultType CompositeType;
173 
175  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
176 
178  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
179  //**********************************************************************************************
180 
181  //**Compilation flags***************************************************************************
183  enum { smpAssignable = 0 };
184  //**********************************************************************************************
185 
186  //**Constructor*********************************************************************************
192  explicit inline TSMatTSMatAddExpr( const MT1& lhs, const MT2& rhs )
193  : lhs_( lhs ) // Left-hand side sparse matrix of the addition expression
194  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
195  {
196  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
197  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
198  }
199  //**********************************************************************************************
200 
201  //**Access operator*****************************************************************************
208  inline ReturnType operator()( size_t i, size_t j ) const {
209  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
210  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
211  return lhs_(i,j) + rhs_(i,j);
212  }
213  //**********************************************************************************************
214 
215  //**At function*********************************************************************************
223  inline ReturnType at( size_t i, size_t j ) const {
224  if( i >= lhs_.rows() ) {
225  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
226  }
227  if( j >= lhs_.columns() ) {
228  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
229  }
230  return (*this)(i,j);
231  }
232  //**********************************************************************************************
233 
234  //**Rows function*******************************************************************************
239  inline size_t rows() const {
240  return lhs_.rows();
241  }
242  //**********************************************************************************************
243 
244  //**Columns function****************************************************************************
249  inline size_t columns() const {
250  return lhs_.columns();
251  }
252  //**********************************************************************************************
253 
254  //**NonZeros function***************************************************************************
259  inline size_t nonZeros() const {
260  return lhs_.nonZeros() + rhs_.nonZeros();
261  }
262  //**********************************************************************************************
263 
264  //**NonZeros function***************************************************************************
270  inline size_t nonZeros( size_t i ) const {
271  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
272  }
273  //**********************************************************************************************
274 
275  //**Left operand access*************************************************************************
280  inline LeftOperand leftOperand() const {
281  return lhs_;
282  }
283  //**********************************************************************************************
284 
285  //**Right operand access************************************************************************
290  inline RightOperand rightOperand() const {
291  return rhs_;
292  }
293  //**********************************************************************************************
294 
295  //**********************************************************************************************
301  template< typename T >
302  inline bool canAlias( const T* alias ) const {
303  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
304  }
305  //**********************************************************************************************
306 
307  //**********************************************************************************************
313  template< typename T >
314  inline bool isAliased( const T* alias ) const {
315  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
316  }
317  //**********************************************************************************************
318 
319  private:
320  //**Member variables****************************************************************************
321  LeftOperand lhs_;
322  RightOperand rhs_;
323  //**********************************************************************************************
324 
325  //**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 TSMatTSMatAddExpr& 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 typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
348 
349  assign( ~lhs, rhs.lhs_ );
350 
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 j=0UL; j<(~lhs).columns(); ++j ) {
364  const RightIterator end( B.end(j) );
365  for( RightIterator element=B.begin(j); element!=end; ++element ) {
366  if( isDefault( (~lhs)(element->index(),j) ) )
367  (~lhs)(element->index(),j) = element->value();
368  else
369  (~lhs)(element->index(),j) += element->value();
370  }
371  }
372  }
373  }
375  //**********************************************************************************************
376 
377  //**Assignment to row-major sparse matrices*****************************************************
390  template< typename MT > // Type of the target sparse matrix
391  friend inline typename DisableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
392  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatAddExpr& rhs )
393  {
395 
397 
398  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
399  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
400 
401  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
402  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
403 
404  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
405  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
406 
407  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
408  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
409  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
410  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
411  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
412  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
413 
414  const size_t m( rhs.rows() );
415  const size_t n( rhs.columns() );
416 
417  // Counting the number of elements per column
418  std::vector<size_t> nonzeros( m, 0UL );
419  for( size_t j=0UL; j<n; ++j )
420  {
421  const LeftIterator lend( A.end(j) );
422  const RightIterator rend( B.end(j) );
423 
424  LeftIterator l( A.begin(j) );
425  RightIterator r( B.begin(j) );
426 
427  while( l != lend && r != rend )
428  {
429  if( l->index() < r->index() ) {
430  ++nonzeros[l->index()];
431  ++l;
432  }
433  else if( l->index() > r->index() ) {
434  ++nonzeros[r->index()];
435  ++r;
436  }
437  else {
438  ++nonzeros[l->index()];
439  ++l;
440  ++r;
441  }
442  }
443 
444  while( l != lend ) {
445  ++nonzeros[l->index()];
446  ++l;
447  }
448 
449  while( r != rend ) {
450  ++nonzeros[r->index()];
451  ++r;
452  }
453  }
454 
455  // Resizing the left-hand side sparse matrix
456  for( size_t i=0UL; i<m; ++i ) {
457  (~lhs).reserve( i, nonzeros[i] );
458  }
459 
460  // Performing the matrix addition
461  for( size_t j=0UL; j<n; ++j )
462  {
463  const LeftIterator lend( A.end(j) );
464  const RightIterator rend( B.end(j) );
465 
466  LeftIterator l( A.begin(j) );
467  RightIterator r( B.begin(j) );
468 
469  while( l != lend && r != rend )
470  {
471  if( l->index() < r->index() ) {
472  (~lhs).append( l->index(), j, l->value() );
473  ++l;
474  }
475  else if( l->index() > r->index() ) {
476  (~lhs).append( r->index(), j, r->value() );
477  ++r;
478  }
479  else {
480  (~lhs).append( l->index(), j, l->value()+r->value() );
481  ++l;
482  ++r;
483  }
484  }
485 
486  while( l != lend ) {
487  (~lhs).append( l->index(), j, l->value() );
488  ++l;
489  }
490 
491  while( r != rend ) {
492  (~lhs).append( r->index(), j, r->value() );
493  ++r;
494  }
495  }
496  }
498  //**********************************************************************************************
499 
500  //**Assignment to row-major sparse matrices*****************************************************
513  template< typename MT > // Type of the target sparse matrix
514  friend inline typename EnableIf< UseSymmetricKernel<MT,MT1,MT2> >::Type
515  assign( SparseMatrix<MT,false>& lhs, const TSMatTSMatAddExpr& rhs )
516  {
518 
520 
521  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
522  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
523 
524  assign( ~lhs, trans( rhs.lhs_ ) + trans( rhs.rhs_ ) );
525  }
527  //**********************************************************************************************
528 
529  //**Assignment to column-major sparse matrices**************************************************
542  template< typename MT > // Type of the target sparse matrix
543  friend inline void assign( SparseMatrix<MT,true>& lhs, const TSMatTSMatAddExpr& rhs )
544  {
546 
547  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
548  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
549 
550  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
551  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
552 
553  CT1 A( serial( rhs.lhs_ ) ); // Evaluation of the left-hand side sparse matrix operand
554  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
555 
556  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
557  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
558  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
559  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
560  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
561  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
562 
563  // Final memory allocation (based on the evaluated operands)
564  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
565 
566  // Performing the matrix addition
567  for( size_t j=0UL; j<(~lhs).columns(); ++j )
568  {
569  const LeftIterator lend( A.end(j) );
570  const RightIterator rend( B.end(j) );
571 
572  LeftIterator l( A.begin(j) );
573  RightIterator r( B.begin(j) );
574 
575  while( l != lend && r != rend )
576  {
577  if( l->index() < r->index() ) {
578  (~lhs).append( l->index(), j, l->value() );
579  ++l;
580  }
581  else if( l->index() > r->index() ) {
582  (~lhs).append( r->index(), j, r->value() );
583  ++r;
584  }
585  else {
586  (~lhs).append( l->index(), j, l->value()+r->value() );
587  ++l;
588  ++r;
589  }
590  }
591 
592  while( l != lend ) {
593  (~lhs).append( l->index(), j, l->value() );
594  ++l;
595  }
596 
597  while( r != rend ) {
598  (~lhs).append( r->index(), j, r->value() );
599  ++r;
600  }
601 
602  (~lhs).finalize( j );
603  }
604  }
606  //**********************************************************************************************
607 
608  //**Addition assignment to dense matrices*******************************************************
621  template< typename MT // Type of the target dense matrix
622  , bool SO > // Storage order of the target dense matrix
623  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
624  {
626 
627  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
628  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
629 
630  addAssign( ~lhs, rhs.lhs_ );
631  addAssign( ~lhs, rhs.rhs_ );
632  }
634  //**********************************************************************************************
635 
636  //**Addition assignment to sparse matrices******************************************************
637  // No special implementation for the addition assignment to sparse matrices.
638  //**********************************************************************************************
639 
640  //**Subtraction assignment to dense matrices****************************************************
653  template< typename MT // Type of the target dense matrix
654  , bool SO > // Storage order of the target dense matrix
655  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
656  {
658 
659  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
660  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
661 
662  subAssign( ~lhs, rhs.lhs_ );
663  subAssign( ~lhs, rhs.rhs_ );
664  }
666  //**********************************************************************************************
667 
668  //**Subtraction assignment to sparse matrices***************************************************
669  // No special implementation for the subtraction assignment to sparse matrices.
670  //**********************************************************************************************
671 
672  //**Multiplication assignment to dense matrices*************************************************
673  // No special implementation for the multiplication assignment to dense matrices.
674  //**********************************************************************************************
675 
676  //**Multiplication assignment to sparse matrices************************************************
677  // No special implementation for the multiplication assignment to sparse matrices.
678  //**********************************************************************************************
679 
680  //**SMP assignment to dense matrices************************************************************
681  // No special implementation for the SMP assignment to dense matrices.
682  //**********************************************************************************************
683 
684  //**SMP assignment to sparse matrices***********************************************************
685  // No special implementation for the SMP assignment to sparse matrices.
686  //**********************************************************************************************
687 
688  //**SMP addition assignment to dense matrices***************************************************
703  template< typename MT // Type of the target dense matrix
704  , bool SO > // Storage order of the target dense matrix
705  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
706  smpAddAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
707  {
709 
710  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
711  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
712 
713  smpAddAssign( ~lhs, rhs.lhs_ );
714  smpAddAssign( ~lhs, rhs.rhs_ );
715  }
717  //**********************************************************************************************
718 
719  //**SMP addition assignment to sparse matrices**************************************************
720  // No special implementation for the SMP addition assignment to sparse matrices.
721  //**********************************************************************************************
722 
723  //**SMP subtraction assignment to dense matrices************************************************
738  template< typename MT // Type of the target dense matrix
739  , bool SO > // Storage order of the target dense matrix
740  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
741  smpSubAssign( DenseMatrix<MT,SO>& lhs, const TSMatTSMatAddExpr& rhs )
742  {
744 
745  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
746  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
747 
748  smpSubAssign( ~lhs, rhs.lhs_ );
749  smpSubAssign( ~lhs, rhs.rhs_ );
750  }
752  //**********************************************************************************************
753 
754  //**SMP subtraction assignment to sparse matrices***********************************************
755  // No special implementation for the SMP subtraction assignment to sparse matrices.
756  //**********************************************************************************************
757 
758  //**SMP multiplication assignment to dense matrices*********************************************
759  // No special implementation for the SMP multiplication assignment to dense matrices.
760  //**********************************************************************************************
761 
762  //**SMP multiplication assignment to sparse matrices********************************************
763  // No special implementation for the SMP multiplication assignment to sparse matrices.
764  //**********************************************************************************************
765 
766  //**Compile time checks*************************************************************************
774  //**********************************************************************************************
775 };
776 //*************************************************************************************************
777 
778 
779 
780 
781 //=================================================================================================
782 //
783 // GLOBAL BINARY ARITHMETIC OPERATORS
784 //
785 //=================================================================================================
786 
787 //*************************************************************************************************
813 template< typename T1 // Type of the left-hand side sparse matrix
814  , typename T2 > // Type of the right-hand side sparse matrix
815 inline const TSMatTSMatAddExpr<T1,T2>
817 {
819 
820  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
821  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
822  }
823 
824  return TSMatTSMatAddExpr<T1,T2>( ~lhs, ~rhs );
825 }
826 //*************************************************************************************************
827 
828 
829 
830 
831 //=================================================================================================
832 //
833 // ROWS SPECIALIZATIONS
834 //
835 //=================================================================================================
836 
837 //*************************************************************************************************
839 template< typename MT1, typename MT2 >
840 struct Rows< TSMatTSMatAddExpr<MT1,MT2> >
841  : public Max< Rows<MT1>, Rows<MT2> >
842 {};
844 //*************************************************************************************************
845 
846 
847 
848 
849 //=================================================================================================
850 //
851 // COLUMNS SPECIALIZATIONS
852 //
853 //=================================================================================================
854 
855 //*************************************************************************************************
857 template< typename MT1, typename MT2 >
858 struct Columns< TSMatTSMatAddExpr<MT1,MT2> >
859  : public Max< Columns<MT1>, Columns<MT2> >
860 {};
862 //*************************************************************************************************
863 
864 
865 
866 
867 //=================================================================================================
868 //
869 // ISSYMMETRIC SPECIALIZATIONS
870 //
871 //=================================================================================================
872 
873 //*************************************************************************************************
875 template< typename MT1, typename MT2 >
876 struct IsSymmetric< TSMatTSMatAddExpr<MT1,MT2> >
877  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
878 {};
880 //*************************************************************************************************
881 
882 
883 
884 
885 //=================================================================================================
886 //
887 // ISHERMITIAN SPECIALIZATIONS
888 //
889 //=================================================================================================
890 
891 //*************************************************************************************************
893 template< typename MT1, typename MT2 >
894 struct IsHermitian< TSMatTSMatAddExpr<MT1,MT2> >
895  : public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
896 {};
898 //*************************************************************************************************
899 
900 
901 
902 
903 //=================================================================================================
904 //
905 // ISLOWER SPECIALIZATIONS
906 //
907 //=================================================================================================
908 
909 //*************************************************************************************************
911 template< typename MT1, typename MT2 >
912 struct IsLower< TSMatTSMatAddExpr<MT1,MT2> >
913  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
914 {};
916 //*************************************************************************************************
917 
918 
919 
920 
921 //=================================================================================================
922 //
923 // ISUNILOWER SPECIALIZATIONS
924 //
925 //=================================================================================================
926 
927 //*************************************************************************************************
929 template< typename MT1, typename MT2 >
930 struct IsUniLower< TSMatTSMatAddExpr<MT1,MT2> >
931  : public IsTrue< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
932  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
933 {};
935 //*************************************************************************************************
936 
937 
938 
939 
940 //=================================================================================================
941 //
942 // ISSTRICTLYLOWER SPECIALIZATIONS
943 //
944 //=================================================================================================
945 
946 //*************************************************************************************************
948 template< typename MT1, typename MT2 >
949 struct IsStrictlyLower< TSMatTSMatAddExpr<MT1,MT2> >
950  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
951 {};
953 //*************************************************************************************************
954 
955 
956 
957 
958 //=================================================================================================
959 //
960 // ISUPPER SPECIALIZATIONS
961 //
962 //=================================================================================================
963 
964 //*************************************************************************************************
966 template< typename MT1, typename MT2 >
967 struct IsUpper< TSMatTSMatAddExpr<MT1,MT2> >
968  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
969 {};
971 //*************************************************************************************************
972 
973 
974 
975 
976 //=================================================================================================
977 //
978 // ISUNIUPPER SPECIALIZATIONS
979 //
980 //=================================================================================================
981 
982 //*************************************************************************************************
984 template< typename MT1, typename MT2 >
985 struct IsUniUpper< TSMatTSMatAddExpr<MT1,MT2> >
986  : public IsTrue< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
987  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
988 {};
990 //*************************************************************************************************
991 
992 
993 
994 
995 //=================================================================================================
996 //
997 // ISSTRICTLYUPPER SPECIALIZATIONS
998 //
999 //=================================================================================================
1000 
1001 //*************************************************************************************************
1003 template< typename MT1, typename MT2 >
1004 struct IsStrictlyUpper< TSMatTSMatAddExpr<MT1,MT2> >
1005  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1006 {};
1008 //*************************************************************************************************
1009 
1010 
1011 
1012 
1013 //=================================================================================================
1014 //
1015 // EXPRESSION TRAIT SPECIALIZATIONS
1016 //
1017 //=================================================================================================
1018 
1019 //*************************************************************************************************
1021 template< typename MT1, typename MT2, bool AF >
1022 struct SubmatrixExprTrait< TSMatTSMatAddExpr<MT1,MT2>, AF >
1023 {
1024  public:
1025  //**********************************************************************************************
1026  typedef typename AddExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1027  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1028  //**********************************************************************************************
1029 };
1031 //*************************************************************************************************
1032 
1033 
1034 //*************************************************************************************************
1036 template< typename MT1, typename MT2 >
1037 struct RowExprTrait< TSMatTSMatAddExpr<MT1,MT2> >
1038 {
1039  public:
1040  //**********************************************************************************************
1041  typedef typename AddExprTrait< typename RowExprTrait<const MT1>::Type
1042  , typename RowExprTrait<const MT2>::Type >::Type Type;
1043  //**********************************************************************************************
1044 };
1046 //*************************************************************************************************
1047 
1048 
1049 //*************************************************************************************************
1051 template< typename MT1, typename MT2 >
1052 struct ColumnExprTrait< TSMatTSMatAddExpr<MT1,MT2> >
1053 {
1054  public:
1055  //**********************************************************************************************
1056  typedef typename AddExprTrait< typename ColumnExprTrait<const MT1>::Type
1057  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1058  //**********************************************************************************************
1059 };
1061 //*************************************************************************************************
1062 
1063 } // namespace blaze
1064 
1065 #endif
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:110
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatAddExpr.h:314
Header file for the Max class template.
Evaluation of the return type of an addition expression.Via this type trait it is possible to evaluat...
Definition: AddExprTrait.h:104
TSMatTSMatAddExpr< MT1, MT2 > This
Type of this TSMatTSMatAddExpr instance.
Definition: TSMatTSMatAddExpr.h:162
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
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:270
Header file for basic type definitions.
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:250
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:321
Header file for the ColumnExprTrait class template.
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:169
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:115
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:308
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:208
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:721
Header file for the Computation base class.
Constraints on the storage order of matrix types.
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:114
Header file for the IsUniLower type trait.
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:117
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:547
Header file for the SparseMatrix base class.
Constraint on the data type.
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
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.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:290
#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:79
Expression object for transpose sparse matrix-transpose sparse matrix additions.The TSMatTSMatAddExpr...
Definition: Forward.h:157
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TSMatTSMatAddExpr.h:322
Header file for the Or class template.
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exceptionThis macro encapsulates the default way of Bla...
Definition: Exception.h:331
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:610
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:111
Header file for the Columns type trait.
AddTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:163
Header file for the IsLower type trait.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:175
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
#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:165
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:113
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the serial shim.
AddExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatTSMatAddExpr.h:128
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:165
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatAddExpr.h:164
EnableIf< IsDenseMatrix< MT1 > >::Type 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
#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:116
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:79
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2587
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatAddExpr.h:259
Header file for run time assertion macros.
Base template for the AddTrait class.
Definition: AddTrait.h:138
Header file for the addition trait.
Constraint on the data type.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatAddExpr.h:172
Header file for the isDefault shim.
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:112
TSMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatTSMatAddExpr class.
Definition: TSMatTSMatAddExpr.h:192
Constraint on the data type.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatAddExpr.h:178
Constraints on the storage order of matrix types.
Header file for the MatMatAddExpr base class.
Header file for the RemoveReference type trait.
Substitution Failure Is Not An Error (SFINAE) class.The DisableIf class template is an auxiliary tool...
Definition: DisableIf.h:184
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatTSMatAddExpr.h:239
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatTSMatAddExpr.h:166
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatAddExpr.h:280
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:944
Header file for the IsComputation type trait class.
EnableIf< IsDenseMatrix< MT1 > >::Type 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
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatAddExpr.h:302
#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
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix)
Returns the current number of columns of the matrix.
Definition: Matrix.h:324
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatAddExpr.h:223
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatTSMatAddExpr.h:249
Header file for the IsUpper type trait.
Header file for exception macros.
Header file for the IsHermitian type trait.
Header file for the IsResizable type trait.
#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:79
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.