SMatTSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <stdexcept>
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.h>
77 #include <blaze/util/mpl/And.h>
78 #include <blaze/util/mpl/Max.h>
79 #include <blaze/util/mpl/Or.h>
80 #include <blaze/util/SelectType.h>
81 #include <blaze/util/Types.h>
84 
85 
86 namespace blaze {
87 
88 //=================================================================================================
89 //
90 // CLASS SMATTSMATADDEXPR
91 //
92 //=================================================================================================
93 
94 //*************************************************************************************************
101 template< typename MT1 // Type of the left-hand side sparse matrix
102  , typename MT2 > // Type of the right-hand side sparse matrix
103 class SMatTSMatAddExpr : public SparseMatrix< SMatTSMatAddExpr<MT1,MT2>, false >
104  , private MatMatAddExpr
105  , private Computation
106 {
107  private:
108  //**Type definitions****************************************************************************
109  typedef typename MT1::ResultType RT1;
110  typedef typename MT2::ResultType RT2;
111  typedef typename MT1::ReturnType RN1;
112  typedef typename MT2::ReturnType RN2;
113  typedef typename MT1::CompositeType CT1;
114  typedef typename MT2::CompositeType CT2;
115  //**********************************************************************************************
116 
117  //**Return type evaluation**********************************************************************
119 
124  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
125 
128  //**********************************************************************************************
129 
130  //**Serial evaluation strategy******************************************************************
132 
138  template< typename T1, typename T2 >
139  struct UseSymmetricKernel {
141  enum { value = IsSymmetric<T2>::value };
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 SMatTSMatAddExpr( 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  //**Rows function*******************************************************************************
220  inline size_t rows() const {
221  return lhs_.rows();
222  }
223  //**********************************************************************************************
224 
225  //**Columns function****************************************************************************
230  inline size_t columns() const {
231  return lhs_.columns();
232  }
233  //**********************************************************************************************
234 
235  //**NonZeros function***************************************************************************
240  inline size_t nonZeros() const {
241  return lhs_.nonZeros() + rhs_.nonZeros();
242  }
243  //**********************************************************************************************
244 
245  //**NonZeros function***************************************************************************
251  inline size_t nonZeros( size_t i ) const {
252  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
253  }
254  //**********************************************************************************************
255 
256  //**Left operand access*************************************************************************
261  inline LeftOperand leftOperand() const {
262  return lhs_;
263  }
264  //**********************************************************************************************
265 
266  //**Right operand access************************************************************************
271  inline RightOperand rightOperand() const {
272  return rhs_;
273  }
274  //**********************************************************************************************
275 
276  //**********************************************************************************************
282  template< typename T >
283  inline bool canAlias( const T* alias ) const {
284  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
285  }
286  //**********************************************************************************************
287 
288  //**********************************************************************************************
294  template< typename T >
295  inline bool isAliased( const T* alias ) const {
296  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
297  }
298  //**********************************************************************************************
299 
300  private:
301  //**Member variables****************************************************************************
302  LeftOperand lhs_;
303  RightOperand rhs_;
304  //**********************************************************************************************
305 
306  //**Assignment to dense matrices****************************************************************
318  template< typename MT // Type of the target dense matrix
319  , bool SO > // Storage order of the target dense matrix
320  friend inline void assign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
321  {
323 
324  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
325  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
326 
327  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
328 
329  assign( ~lhs, rhs.lhs_ );
330 
332  addAssign( ~lhs, rhs.rhs_ );
333  }
334  else
335  {
336  CT2 B( serial( rhs.rhs_ ) ); // Evaluation of the right-hand side sparse matrix operand
337 
338  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
339  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
340  BLAZE_INTERNAL_ASSERT( B.rows() == (~lhs).rows() , "Invalid number of rows" );
341  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
342 
343  for( size_t j=0UL; j<(~lhs).columns(); ++j ) {
344  const RightIterator end( B.end(j) );
345  for( RightIterator element=B.begin(j); element!=end; ++element ) {
346  if( isDefault( (~lhs)(element->index(),j) ) )
347  (~lhs)(element->index(),j) = element->value();
348  else
349  (~lhs)(element->index(),j) += element->value();
350  }
351  }
352  }
353  }
355  //**********************************************************************************************
356 
357  //**Assignment to row-major sparse matrices*****************************************************
370  template< typename MT > // Type of the target sparse matrix
371  friend inline typename DisableIf< UseSymmetricKernel<MT,MT2> >::Type
373  {
375 
376  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
377  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
378 
379  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
380  typedef typename RT2::OppositeType::ConstIterator RightIterator;
381 
382  // Evaluation of the left-hand side sparse matrix operand
383  CT1 A( serial( rhs.lhs_ ) );
384 
385  // Evaluation of the right-hand side sparse matrix operand
386  const typename RT2::OppositeType B( serial( rhs.rhs_ ) );
387 
388  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
389  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
390  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
391  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
392  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
393  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
394 
395  // Final memory allocation (based on the evaluated operands)
396  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
397 
398  // Performing the matrix addition
399  for( size_t i=0UL; i<(~lhs).rows(); ++i )
400  {
401  const LeftIterator lend( A.end(i) );
402  const RightIterator rend( B.end(i) );
403 
404  LeftIterator l( A.begin(i) );
405  RightIterator r( B.begin(i) );
406 
407  while( l != lend && r != rend )
408  {
409  if( l->index() < r->index() ) {
410  (~lhs).append( i, l->index(), l->value() );
411  ++l;
412  }
413  else if( l->index() > r->index() ) {
414  (~lhs).append( i, r->index(), r->value() );
415  ++r;
416  }
417  else {
418  (~lhs).append( i, l->index(), l->value()+r->value() );
419  ++l;
420  ++r;
421  }
422  }
423 
424  while( l != lend ) {
425  (~lhs).append( i, l->index(), l->value() );
426  ++l;
427  }
428 
429  while( r != rend ) {
430  (~lhs).append( i, r->index(), r->value() );
431  ++r;
432  }
433 
434  (~lhs).finalize( i );
435  }
436  }
438  //**********************************************************************************************
439 
440  //**Assignment to row-major sparse matrices*****************************************************
453  template< typename MT > // Type of the target sparse matrix
454  friend inline typename EnableIf< UseSymmetricKernel<MT,MT2> >::Type
455  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatAddExpr& rhs )
456  {
458 
459  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
460  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
461 
462  assign( ~lhs, rhs.lhs_ + trans( rhs.rhs_ ) );
463  }
465  //**********************************************************************************************
466 
467  //**Assignment to column-major sparse matrices**************************************************
480  template< typename MT > // Type of the target sparse matrix
481  friend inline typename DisableIf< UseSymmetricKernel<MT,MT1> >::Type
482  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatAddExpr& rhs )
483  {
485 
487 
488  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
489  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
490 
491  typedef typename RT1::OppositeType::ConstIterator LeftIterator;
492  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
493 
494  // Evaluation of the left-hand side sparse matrix operand
495  const typename RT1::OppositeType A( serial( rhs.lhs_ ) );
496 
497  // Evaluation of the right-hand side sparse matrix operand
498  CT2 B( serial( rhs.rhs_ ) );
499 
500  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
501  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
502  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
503  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
504  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
505  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
506 
507  // Final memory allocation (based on the evaluated operands)
508  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
509 
510  // Performing the matrix addition
511  for( size_t j=0UL; j<(~lhs).columns(); ++j )
512  {
513  const LeftIterator lend( A.end(j) );
514  const RightIterator rend( B.end(j) );
515 
516  LeftIterator l( A.begin(j) );
517  RightIterator r( B.begin(j) );
518 
519  while( l != lend && r != rend )
520  {
521  if( l->index() < r->index() ) {
522  (~lhs).append( l->index(), j, l->value() );
523  ++l;
524  }
525  else if( l->index() > r->index() ) {
526  (~lhs).append( r->index(), j, r->value() );
527  ++r;
528  }
529  else {
530  (~lhs).append( l->index(), j, l->value()+r->value() );
531  ++l;
532  ++r;
533  }
534  }
535 
536  while( l != lend ) {
537  (~lhs).append( l->index(), j, l->value() );
538  ++l;
539  }
540 
541  while( r != rend ) {
542  (~lhs).append( r->index(), j, r->value() );
543  ++r;
544  }
545 
546  (~lhs).finalize( j );
547  }
548  }
550  //**********************************************************************************************
551 
552  //**Assignment to column-major sparse matrices**************************************************
565  template< typename MT > // Type of the target sparse matrix
566  friend inline typename EnableIf< UseSymmetricKernel<MT,MT1> >::Type
567  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatAddExpr& rhs )
568  {
570 
572 
573  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
574  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
575 
576  assign( ~lhs, trans( rhs.lhs_ ) + rhs.rhs_ );
577  }
579  //**********************************************************************************************
580 
581  //**Addition assignment to dense matrices*******************************************************
594  template< typename MT // Type of the target dense matrix
595  , bool SO > // Storage order of the target dense matrix
596  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
597  {
599 
600  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
601  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
602 
603  addAssign( ~lhs, rhs.lhs_ );
604  addAssign( ~lhs, rhs.rhs_ );
605  }
607  //**********************************************************************************************
608 
609  //**Addition assignment to sparse matrices******************************************************
610  // No special implementation for the addition assignment to sparse matrices.
611  //**********************************************************************************************
612 
613  //**Subtraction assignment to dense matrices****************************************************
626  template< typename MT // Type of the target dense matrix
627  , bool SO > // Storage order of the target dense matrix
628  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
629  {
631 
632  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
633  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
634 
635  subAssign( ~lhs, rhs.lhs_ );
636  subAssign( ~lhs, rhs.rhs_ );
637  }
639  //**********************************************************************************************
640 
641  //**Subtraction assignment to sparse matrices***************************************************
642  // No special implementation for the subtraction assignment to sparse matrices.
643  //**********************************************************************************************
644 
645  //**Multiplication assignment to dense matrices*************************************************
646  // No special implementation for the multiplication assignment to dense matrices.
647  //**********************************************************************************************
648 
649  //**Multiplication assignment to sparse matrices************************************************
650  // No special implementation for the multiplication assignment to sparse matrices.
651  //**********************************************************************************************
652 
653  //**SMP assignment to dense matrices************************************************************
654  // No special implementation for the SMP assignment to dense matrices.
655  //**********************************************************************************************
656 
657  //**SMP assignment to sparse matrices***********************************************************
658  // No special implementation for the SMP assignment to sparse matrices.
659  //**********************************************************************************************
660 
661  //**SMP addition assignment to dense matrices***************************************************
676  template< typename MT // Type of the target dense matrix
677  , bool SO > // Storage order of the target dense matrix
678  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
679  smpAddAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
680  {
682 
683  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
684  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
685 
686  smpAddAssign( ~lhs, rhs.lhs_ );
687  smpAddAssign( ~lhs, rhs.rhs_ );
688  }
690  //**********************************************************************************************
691 
692  //**SMP addition assignment to sparse matrices**************************************************
693  // No special implementation for the SMP addition assignment to sparse matrices.
694  //**********************************************************************************************
695 
696  //**SMP subtraction assignment to dense matrices************************************************
711  template< typename MT // Type of the target dense matrix
712  , bool SO > // Storage order of the target dense matrix
713  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
714  smpSubAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
715  {
717 
718  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
719  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
720 
721  smpSubAssign( ~lhs, rhs.lhs_ );
722  smpSubAssign( ~lhs, rhs.rhs_ );
723  }
725  //**********************************************************************************************
726 
727  //**SMP subtraction assignment to sparse matrices***********************************************
728  // No special implementation for the SMP subtraction assignment to sparse matrices.
729  //**********************************************************************************************
730 
731  //**SMP multiplication assignment to dense matrices*********************************************
732  // No special implementation for the SMP multiplication assignment to dense matrices.
733  //**********************************************************************************************
734 
735  //**SMP multiplication assignment to sparse matrices********************************************
736  // No special implementation for the SMP multiplication assignment to sparse matrices.
737  //**********************************************************************************************
738 
739  //**Compile time checks*************************************************************************
747  //**********************************************************************************************
748 };
749 //*************************************************************************************************
750 
751 
752 
753 
754 //=================================================================================================
755 //
756 // GLOBAL BINARY ARITHMETIC OPERATORS
757 //
758 //=================================================================================================
759 
760 //*************************************************************************************************
789 template< typename T1 // Type of the left-hand side sparse matrix
790  , typename T2 > // Type of the right-hand side sparse matrix
791 inline const SMatTSMatAddExpr<T1,T2>
793 {
795 
796  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() )
797  throw std::invalid_argument( "Matrix sizes do not match" );
798 
799  return SMatTSMatAddExpr<T1,T2>( ~lhs, ~rhs );
800 }
801 //*************************************************************************************************
802 
803 
804 //*************************************************************************************************
833 template< typename T1 // Type of the left-hand side sparse matrix
834  , typename T2 > // Type of the right-hand side sparse matrix
835 inline const SMatTSMatAddExpr<T2,T1>
837 {
839 
840  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() )
841  throw std::invalid_argument( "Matrix sizes do not match" );
842 
843  return SMatTSMatAddExpr<T2,T1>( ~rhs, ~lhs );
844 }
845 //*************************************************************************************************
846 
847 
848 
849 
850 //=================================================================================================
851 //
852 // ROWS SPECIALIZATIONS
853 //
854 //=================================================================================================
855 
856 //*************************************************************************************************
858 template< typename MT1, typename MT2 >
859 struct Rows< SMatTSMatAddExpr<MT1,MT2> >
860  : public Max< Rows<MT1>, Rows<MT2> >::Type
861 {};
863 //*************************************************************************************************
864 
865 
866 
867 
868 //=================================================================================================
869 //
870 // COLUMNS SPECIALIZATIONS
871 //
872 //=================================================================================================
873 
874 //*************************************************************************************************
876 template< typename MT1, typename MT2 >
877 struct Columns< SMatTSMatAddExpr<MT1,MT2> >
878  : public Max< Columns<MT1>, Columns<MT2> >::Type
879 {};
881 //*************************************************************************************************
882 
883 
884 
885 
886 //=================================================================================================
887 //
888 // ISSYMMETRIC SPECIALIZATIONS
889 //
890 //=================================================================================================
891 
892 //*************************************************************************************************
894 template< typename MT1, typename MT2 >
895 struct IsSymmetric< SMatTSMatAddExpr<MT1,MT2> >
896  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<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< SMatTSMatAddExpr<MT1,MT2> >
914  : public IsTrue< 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< SMatTSMatAddExpr<MT1,MT2> >
932  : public IsTrue< 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< SMatTSMatAddExpr<MT1,MT2> >
951  : public IsTrue< 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< SMatTSMatAddExpr<MT1,MT2> >
969  : public IsTrue< 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< SMatTSMatAddExpr<MT1,MT2> >
987  : public IsTrue< 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< SMatTSMatAddExpr<MT1,MT2> >
1006  : public IsTrue< 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< SMatTSMatAddExpr<MT1,MT2>, AF >
1024 {
1025  public:
1026  //**********************************************************************************************
1027  typedef typename AddExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1028  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1029  //**********************************************************************************************
1030 };
1032 //*************************************************************************************************
1033 
1034 
1035 //*************************************************************************************************
1037 template< typename MT1, typename MT2 >
1038 struct RowExprTrait< SMatTSMatAddExpr<MT1,MT2> >
1039 {
1040  public:
1041  //**********************************************************************************************
1042  typedef typename AddExprTrait< typename RowExprTrait<const MT1>::Type
1043  , typename RowExprTrait<const MT2>::Type >::Type Type;
1044  //**********************************************************************************************
1045 };
1047 //*************************************************************************************************
1048 
1049 
1050 //*************************************************************************************************
1052 template< typename MT1, typename MT2 >
1053 struct ColumnExprTrait< SMatTSMatAddExpr<MT1,MT2> >
1054 {
1055  public:
1056  //**********************************************************************************************
1057  typedef typename AddExprTrait< typename ColumnExprTrait<const MT1>::Type
1058  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1059  //**********************************************************************************************
1060 };
1062 //*************************************************************************************************
1063 
1064 } // namespace blaze
1065 
1066 #endif
Header file for the Max class template.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatTSMatAddExpr.h:220
Evaluation of the return type of an addition expression.Via this type trait it is possible to evaluat...
Definition: AddExprTrait.h:104
SMatTSMatAddExpr< MT1, MT2 > This
Type of this SMatTSMatAddExpr instance.
Definition: SMatTSMatAddExpr.h:162
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatTSMatAddExpr.h:166
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.
Header file for basic type definitions.
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:113
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:258
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:209
Header file for the ColumnExprTrait class template.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2507
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:261
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:316
Header file for the And class template.
Header file for the AddExprTrait class template.
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:699
Header file for the Computation base class.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatAddExpr.h:295
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2503
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:107
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatAddExpr.h:251
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:861
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:302
Header file for the SparseMatrix base class.
Constraint on the data type.
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatAddExpr.h:283
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.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:109
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
#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: StorageOrder.h:161
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2511
Header file for the Or class template.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatAddExpr.h:164
AddExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatAddExpr.h:127
AddTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:163
BLAZE_ALWAYS_INLINE void assign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the assignment of a matrix to a matrix.
Definition: Matrix.h:635
Header file for the Columns type trait.
const DenseIterator< Type > operator+(const DenseIterator< Type > &it, ptrdiff_t inc)
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:556
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: SMatTSMatAddExpr.h:175
Constraints on the storage order of matrix types.
MT1::ReturnType RN1
Evaluation type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:111
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.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_DIFFERENT_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:325
SMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatTSMatAddExpr class.
Definition: SMatTSMatAddExpr.h:192
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatAddExpr.h:172
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatAddExpr.h:208
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: StorageOrder.h:81
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2506
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
Header file for run time assertion macros.
Base template for the AddTrait class.
Definition: AddTrait.h:150
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatAddExpr.h:261
Header file for the addition trait.
BLAZE_ALWAYS_INLINE void addAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the addition assignment of a matrix to a matrix.
Definition: Matrix.h:742
Constraint on the data type.
MT2::ReturnType RN2
Evaluation type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:112
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatAddExpr.h:240
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatTSMatAddExpr.h:230
Header file for the isDefault shim.
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:303
Constraint on the data type.
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatAddExpr.h:271
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
Expression object for sparse matrix-transpose sparse matrix additions.The SMatTSMatAddExpr class repr...
Definition: Forward.h:104
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:114
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:165
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:169
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:937
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
#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:2502
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:332
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:110
Header file for the IsUpper type trait.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:178
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.
BLAZE_ALWAYS_INLINE void subAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the subtraction assignment of a matrix to matrix.
Definition: Matrix.h:849