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 
74 #include <blaze/util/Assert.h>
75 #include <blaze/util/DisableIf.h>
76 #include <blaze/util/EnableIf.h>
77 #include <blaze/util/Exception.h>
79 #include <blaze/util/mpl/And.h>
80 #include <blaze/util/mpl/Max.h>
81 #include <blaze/util/mpl/Or.h>
82 #include <blaze/util/SelectType.h>
83 #include <blaze/util/Types.h>
86 
87 
88 namespace blaze {
89 
90 //=================================================================================================
91 //
92 // CLASS SMATTSMATADDEXPR
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 SMatTSMatAddExpr : public SparseMatrix< SMatTSMatAddExpr<MT1,MT2>, false >
106  , private MatMatAddExpr
107  , private Computation
108 {
109  private:
110  //**Type definitions****************************************************************************
111  typedef typename MT1::ResultType RT1;
112  typedef typename MT2::ResultType RT2;
113  typedef typename MT1::ReturnType RN1;
114  typedef typename MT2::ReturnType RN2;
115  typedef typename MT1::CompositeType CT1;
116  typedef typename MT2::CompositeType CT2;
117  //**********************************************************************************************
118 
119  //**Return type evaluation**********************************************************************
121 
126  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
127 
130  //**********************************************************************************************
131 
132  //**Serial evaluation strategy******************************************************************
134 
140  template< typename T1, typename T2 >
141  struct UseSymmetricKernel {
143  enum { value = IsSymmetric<T2>::value };
144  };
146  //**********************************************************************************************
147 
148  //**Parallel evaluation strategy****************************************************************
150 
155  template< typename MT >
156  struct UseSMPAssign {
157  enum { value = MT::smpAssignable };
158  };
160  //**********************************************************************************************
161 
162  public:
163  //**Type definitions****************************************************************************
169 
172 
174  typedef const ResultType CompositeType;
175 
177  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
178 
180  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
181  //**********************************************************************************************
182 
183  //**Compilation flags***************************************************************************
185  enum { smpAssignable = 0 };
186  //**********************************************************************************************
187 
188  //**Constructor*********************************************************************************
194  explicit inline SMatTSMatAddExpr( const MT1& lhs, const MT2& rhs )
195  : lhs_( lhs ) // Left-hand side sparse matrix of the addition expression
196  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
197  {
198  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
199  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
200  }
201  //**********************************************************************************************
202 
203  //**Access operator*****************************************************************************
210  inline ReturnType operator()( size_t i, size_t j ) const {
211  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
212  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
213  return lhs_(i,j) + rhs_(i,j);
214  }
215  //**********************************************************************************************
216 
217  //**At function*********************************************************************************
225  inline ReturnType at( size_t i, size_t j ) const {
226  if( i >= lhs_.rows() ) {
227  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
228  }
229  if( j >= lhs_.columns() ) {
230  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
231  }
232  return (*this)(i,j);
233  }
234  //**********************************************************************************************
235 
236  //**Rows function*******************************************************************************
241  inline size_t rows() const {
242  return lhs_.rows();
243  }
244  //**********************************************************************************************
245 
246  //**Columns function****************************************************************************
251  inline size_t columns() const {
252  return lhs_.columns();
253  }
254  //**********************************************************************************************
255 
256  //**NonZeros function***************************************************************************
261  inline size_t nonZeros() const {
262  return lhs_.nonZeros() + rhs_.nonZeros();
263  }
264  //**********************************************************************************************
265 
266  //**NonZeros function***************************************************************************
272  inline size_t nonZeros( size_t i ) const {
273  return lhs_.nonZeros(i) + rhs_.nonZeros(i);
274  }
275  //**********************************************************************************************
276 
277  //**Left operand access*************************************************************************
282  inline LeftOperand leftOperand() const {
283  return lhs_;
284  }
285  //**********************************************************************************************
286 
287  //**Right operand access************************************************************************
292  inline RightOperand rightOperand() const {
293  return rhs_;
294  }
295  //**********************************************************************************************
296 
297  //**********************************************************************************************
303  template< typename T >
304  inline bool canAlias( const T* alias ) const {
305  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
306  }
307  //**********************************************************************************************
308 
309  //**********************************************************************************************
315  template< typename T >
316  inline bool isAliased( const T* alias ) const {
317  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
318  }
319  //**********************************************************************************************
320 
321  private:
322  //**Member variables****************************************************************************
323  LeftOperand lhs_;
324  RightOperand rhs_;
325  //**********************************************************************************************
326 
327  //**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 SMatTSMatAddExpr& 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 typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
349 
350  assign( ~lhs, rhs.lhs_ );
351 
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
392  friend inline typename DisableIf< UseSymmetricKernel<MT,MT2> >::Type
393  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatAddExpr& rhs )
394  {
396 
397  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
398  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
399 
400  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
401  typedef typename RT2::OppositeType::ConstIterator RightIterator;
402 
403  // Evaluation of the left-hand side sparse matrix operand
404  CT1 A( serial( rhs.lhs_ ) );
405 
406  // Evaluation of the right-hand side sparse matrix operand
407  const typename RT2::OppositeType B( serial( rhs.rhs_ ) );
408 
409  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
410  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
411  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
412  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
413  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
414  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
415 
416  // Final memory allocation (based on the evaluated operands)
417  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
418 
419  // Performing the matrix addition
420  for( size_t i=0UL; i<(~lhs).rows(); ++i )
421  {
422  const LeftIterator lend( A.end(i) );
423  const RightIterator rend( B.end(i) );
424 
425  LeftIterator l( A.begin(i) );
426  RightIterator r( B.begin(i) );
427 
428  while( l != lend && r != rend )
429  {
430  if( l->index() < r->index() ) {
431  (~lhs).append( i, l->index(), l->value() );
432  ++l;
433  }
434  else if( l->index() > r->index() ) {
435  (~lhs).append( i, r->index(), r->value() );
436  ++r;
437  }
438  else {
439  (~lhs).append( i, l->index(), l->value()+r->value() );
440  ++l;
441  ++r;
442  }
443  }
444 
445  while( l != lend ) {
446  (~lhs).append( i, l->index(), l->value() );
447  ++l;
448  }
449 
450  while( r != rend ) {
451  (~lhs).append( i, r->index(), r->value() );
452  ++r;
453  }
454 
455  (~lhs).finalize( i );
456  }
457  }
459  //**********************************************************************************************
460 
461  //**Assignment to row-major sparse matrices*****************************************************
474  template< typename MT > // Type of the target sparse matrix
475  friend inline typename EnableIf< UseSymmetricKernel<MT,MT2> >::Type
476  assign( SparseMatrix<MT,false>& lhs, const SMatTSMatAddExpr& rhs )
477  {
479 
480  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
481  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
482 
483  assign( ~lhs, rhs.lhs_ + trans( rhs.rhs_ ) );
484  }
486  //**********************************************************************************************
487 
488  //**Assignment to column-major sparse matrices**************************************************
501  template< typename MT > // Type of the target sparse matrix
502  friend inline typename DisableIf< UseSymmetricKernel<MT,MT1> >::Type
503  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatAddExpr& rhs )
504  {
506 
508 
509  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
510  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
511 
512  typedef typename RT1::OppositeType::ConstIterator LeftIterator;
513  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
514 
515  // Evaluation of the left-hand side sparse matrix operand
516  const typename RT1::OppositeType A( serial( rhs.lhs_ ) );
517 
518  // Evaluation of the right-hand side sparse matrix operand
519  CT2 B( serial( rhs.rhs_ ) );
520 
521  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
522  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
523  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
524  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
525  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
526  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).columns() , "Invalid number of columns" );
527 
528  // Final memory allocation (based on the evaluated operands)
529  (~lhs).reserve( A.nonZeros() + B.nonZeros() );
530 
531  // Performing the matrix addition
532  for( size_t j=0UL; j<(~lhs).columns(); ++j )
533  {
534  const LeftIterator lend( A.end(j) );
535  const RightIterator rend( B.end(j) );
536 
537  LeftIterator l( A.begin(j) );
538  RightIterator r( B.begin(j) );
539 
540  while( l != lend && r != rend )
541  {
542  if( l->index() < r->index() ) {
543  (~lhs).append( l->index(), j, l->value() );
544  ++l;
545  }
546  else if( l->index() > r->index() ) {
547  (~lhs).append( r->index(), j, r->value() );
548  ++r;
549  }
550  else {
551  (~lhs).append( l->index(), j, l->value()+r->value() );
552  ++l;
553  ++r;
554  }
555  }
556 
557  while( l != lend ) {
558  (~lhs).append( l->index(), j, l->value() );
559  ++l;
560  }
561 
562  while( r != rend ) {
563  (~lhs).append( r->index(), j, r->value() );
564  ++r;
565  }
566 
567  (~lhs).finalize( j );
568  }
569  }
571  //**********************************************************************************************
572 
573  //**Assignment to column-major sparse matrices**************************************************
586  template< typename MT > // Type of the target sparse matrix
587  friend inline typename EnableIf< UseSymmetricKernel<MT,MT1> >::Type
588  assign( SparseMatrix<MT,true>& lhs, const SMatTSMatAddExpr& rhs )
589  {
591 
593 
594  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
595  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
596 
597  assign( ~lhs, trans( rhs.lhs_ ) + rhs.rhs_ );
598  }
600  //**********************************************************************************************
601 
602  //**Addition assignment to dense matrices*******************************************************
615  template< typename MT // Type of the target dense matrix
616  , bool SO > // Storage order of the target dense matrix
617  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
618  {
620 
621  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
622  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
623 
624  addAssign( ~lhs, rhs.lhs_ );
625  addAssign( ~lhs, rhs.rhs_ );
626  }
628  //**********************************************************************************************
629 
630  //**Addition assignment to sparse matrices******************************************************
631  // No special implementation for the addition assignment to sparse matrices.
632  //**********************************************************************************************
633 
634  //**Subtraction assignment to dense matrices****************************************************
647  template< typename MT // Type of the target dense matrix
648  , bool SO > // Storage order of the target dense matrix
649  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
650  {
652 
653  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
654  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
655 
656  subAssign( ~lhs, rhs.lhs_ );
657  subAssign( ~lhs, rhs.rhs_ );
658  }
660  //**********************************************************************************************
661 
662  //**Subtraction assignment to sparse matrices***************************************************
663  // No special implementation for the subtraction assignment to sparse matrices.
664  //**********************************************************************************************
665 
666  //**Multiplication assignment to dense matrices*************************************************
667  // No special implementation for the multiplication assignment to dense matrices.
668  //**********************************************************************************************
669 
670  //**Multiplication assignment to sparse matrices************************************************
671  // No special implementation for the multiplication assignment to sparse matrices.
672  //**********************************************************************************************
673 
674  //**SMP assignment to dense matrices************************************************************
675  // No special implementation for the SMP assignment to dense matrices.
676  //**********************************************************************************************
677 
678  //**SMP assignment to sparse matrices***********************************************************
679  // No special implementation for the SMP assignment to sparse matrices.
680  //**********************************************************************************************
681 
682  //**SMP addition assignment to dense matrices***************************************************
697  template< typename MT // Type of the target dense matrix
698  , bool SO > // Storage order of the target dense matrix
699  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
700  smpAddAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
701  {
703 
704  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
705  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
706 
707  smpAddAssign( ~lhs, rhs.lhs_ );
708  smpAddAssign( ~lhs, rhs.rhs_ );
709  }
711  //**********************************************************************************************
712 
713  //**SMP addition assignment to sparse matrices**************************************************
714  // No special implementation for the SMP addition assignment to sparse matrices.
715  //**********************************************************************************************
716 
717  //**SMP subtraction assignment to dense matrices************************************************
732  template< typename MT // Type of the target dense matrix
733  , bool SO > // Storage order of the target dense matrix
734  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
735  smpSubAssign( DenseMatrix<MT,SO>& lhs, const SMatTSMatAddExpr& rhs )
736  {
738 
739  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
740  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
741 
742  smpSubAssign( ~lhs, rhs.lhs_ );
743  smpSubAssign( ~lhs, rhs.rhs_ );
744  }
746  //**********************************************************************************************
747 
748  //**SMP subtraction assignment to sparse matrices***********************************************
749  // No special implementation for the SMP subtraction assignment to sparse matrices.
750  //**********************************************************************************************
751 
752  //**SMP multiplication assignment to dense matrices*********************************************
753  // No special implementation for the SMP multiplication assignment to dense matrices.
754  //**********************************************************************************************
755 
756  //**SMP multiplication assignment to sparse matrices********************************************
757  // No special implementation for the SMP multiplication assignment to sparse matrices.
758  //**********************************************************************************************
759 
760  //**Compile time checks*************************************************************************
768  //**********************************************************************************************
769 };
770 //*************************************************************************************************
771 
772 
773 
774 
775 //=================================================================================================
776 //
777 // GLOBAL BINARY ARITHMETIC OPERATORS
778 //
779 //=================================================================================================
780 
781 //*************************************************************************************************
810 template< typename T1 // Type of the left-hand side sparse matrix
811  , typename T2 > // Type of the right-hand side sparse matrix
812 inline const SMatTSMatAddExpr<T1,T2>
814 {
816 
817  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
818  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
819  }
820 
821  return SMatTSMatAddExpr<T1,T2>( ~lhs, ~rhs );
822 }
823 //*************************************************************************************************
824 
825 
826 //*************************************************************************************************
855 template< typename T1 // Type of the left-hand side sparse matrix
856  , typename T2 > // Type of the right-hand side sparse matrix
857 inline const SMatTSMatAddExpr<T2,T1>
859 {
861 
862  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
863  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
864  }
865 
866  return SMatTSMatAddExpr<T2,T1>( ~rhs, ~lhs );
867 }
868 //*************************************************************************************************
869 
870 
871 
872 
873 //=================================================================================================
874 //
875 // ROWS SPECIALIZATIONS
876 //
877 //=================================================================================================
878 
879 //*************************************************************************************************
881 template< typename MT1, typename MT2 >
882 struct Rows< SMatTSMatAddExpr<MT1,MT2> >
883  : public Max< Rows<MT1>, Rows<MT2> >
884 {};
886 //*************************************************************************************************
887 
888 
889 
890 
891 //=================================================================================================
892 //
893 // COLUMNS SPECIALIZATIONS
894 //
895 //=================================================================================================
896 
897 //*************************************************************************************************
899 template< typename MT1, typename MT2 >
900 struct Columns< SMatTSMatAddExpr<MT1,MT2> >
901  : public Max< Columns<MT1>, Columns<MT2> >
902 {};
904 //*************************************************************************************************
905 
906 
907 
908 
909 //=================================================================================================
910 //
911 // ISSYMMETRIC SPECIALIZATIONS
912 //
913 //=================================================================================================
914 
915 //*************************************************************************************************
917 template< typename MT1, typename MT2 >
918 struct IsSymmetric< SMatTSMatAddExpr<MT1,MT2> >
919  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
920 {};
922 //*************************************************************************************************
923 
924 
925 
926 
927 //=================================================================================================
928 //
929 // ISHERMITIAN SPECIALIZATIONS
930 //
931 //=================================================================================================
932 
933 //*************************************************************************************************
935 template< typename MT1, typename MT2 >
936 struct IsHermitian< SMatTSMatAddExpr<MT1,MT2> >
937  : public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
938 {};
940 //*************************************************************************************************
941 
942 
943 
944 
945 //=================================================================================================
946 //
947 // ISLOWER SPECIALIZATIONS
948 //
949 //=================================================================================================
950 
951 //*************************************************************************************************
953 template< typename MT1, typename MT2 >
954 struct IsLower< SMatTSMatAddExpr<MT1,MT2> >
955  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
956 {};
958 //*************************************************************************************************
959 
960 
961 
962 
963 //=================================================================================================
964 //
965 // ISUNILOWER SPECIALIZATIONS
966 //
967 //=================================================================================================
968 
969 //*************************************************************************************************
971 template< typename MT1, typename MT2 >
972 struct IsUniLower< SMatTSMatAddExpr<MT1,MT2> >
973  : public IsTrue< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
974  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
975 {};
977 //*************************************************************************************************
978 
979 
980 
981 
982 //=================================================================================================
983 //
984 // ISSTRICTLYLOWER SPECIALIZATIONS
985 //
986 //=================================================================================================
987 
988 //*************************************************************************************************
990 template< typename MT1, typename MT2 >
991 struct IsStrictlyLower< SMatTSMatAddExpr<MT1,MT2> >
992  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
993 {};
995 //*************************************************************************************************
996 
997 
998 
999 
1000 //=================================================================================================
1001 //
1002 // ISUPPER SPECIALIZATIONS
1003 //
1004 //=================================================================================================
1005 
1006 //*************************************************************************************************
1008 template< typename MT1, typename MT2 >
1009 struct IsUpper< SMatTSMatAddExpr<MT1,MT2> >
1010  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1011 {};
1013 //*************************************************************************************************
1014 
1015 
1016 
1017 
1018 //=================================================================================================
1019 //
1020 // ISUNIUPPER SPECIALIZATIONS
1021 //
1022 //=================================================================================================
1023 
1024 //*************************************************************************************************
1026 template< typename MT1, typename MT2 >
1027 struct IsUniUpper< SMatTSMatAddExpr<MT1,MT2> >
1028  : public IsTrue< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1029  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1030 {};
1032 //*************************************************************************************************
1033 
1034 
1035 
1036 
1037 //=================================================================================================
1038 //
1039 // ISSTRICTLYUPPER SPECIALIZATIONS
1040 //
1041 //=================================================================================================
1042 
1043 //*************************************************************************************************
1045 template< typename MT1, typename MT2 >
1046 struct IsStrictlyUpper< SMatTSMatAddExpr<MT1,MT2> >
1047  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1048 {};
1050 //*************************************************************************************************
1051 
1052 
1053 
1054 
1055 //=================================================================================================
1056 //
1057 // EXPRESSION TRAIT SPECIALIZATIONS
1058 //
1059 //=================================================================================================
1060 
1061 //*************************************************************************************************
1063 template< typename MT1, typename MT2, bool AF >
1064 struct SubmatrixExprTrait< SMatTSMatAddExpr<MT1,MT2>, AF >
1065 {
1066  public:
1067  //**********************************************************************************************
1068  typedef typename AddExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1069  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1070  //**********************************************************************************************
1071 };
1073 //*************************************************************************************************
1074 
1075 
1076 //*************************************************************************************************
1078 template< typename MT1, typename MT2 >
1079 struct RowExprTrait< SMatTSMatAddExpr<MT1,MT2> >
1080 {
1081  public:
1082  //**********************************************************************************************
1083  typedef typename AddExprTrait< typename RowExprTrait<const MT1>::Type
1084  , typename RowExprTrait<const MT2>::Type >::Type Type;
1085  //**********************************************************************************************
1086 };
1088 //*************************************************************************************************
1089 
1090 
1091 //*************************************************************************************************
1093 template< typename MT1, typename MT2 >
1094 struct ColumnExprTrait< SMatTSMatAddExpr<MT1,MT2> >
1095 {
1096  public:
1097  //**********************************************************************************************
1098  typedef typename AddExprTrait< typename ColumnExprTrait<const MT1>::Type
1099  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1100  //**********************************************************************************************
1101 };
1103 //*************************************************************************************************
1104 
1105 } // namespace blaze
1106 
1107 #endif
#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
Header file for the Max class template.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatTSMatAddExpr.h:241
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:164
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatTSMatAddExpr.h:168
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:115
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
Header file for the ColumnExprTrait class template.
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.
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.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatAddExpr.h:316
Constraints on the storage order of matrix types.
Header file for the IsUniLower type trait.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatAddExpr.h:225
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2584
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
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatAddExpr.h:272
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:547
LeftOperand lhs_
Left-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:323
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:304
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:111
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: ColumnMajorMatrix.h:79
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
Header file for the Or class template.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatAddExpr.h:166
#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
AddExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTSMatAddExpr.h:129
AddTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:165
Header file for the Columns type trait.
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:177
Constraints on the storage order of matrix types.
MT1::ReturnType RN1
Evaluation type of the left-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:113
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:164
SMatTSMatAddExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatTSMatAddExpr class.
Definition: SMatTSMatAddExpr.h:194
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:174
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatAddExpr.h:210
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
Header file for run time assertion macros.
Base template for the AddTrait class.
Definition: AddTrait.h:138
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatAddExpr.h:282
Header file for the addition trait.
Constraint on the data type.
MT2::ReturnType RN2
Evaluation type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:114
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatAddExpr.h:261
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatTSMatAddExpr.h:251
Header file for the isDefault shim.
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: SMatTSMatAddExpr.h:324
Constraint on the data type.
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatAddExpr.h:292
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
Expression object for sparse matrix-transpose sparse matrix additions.The SMatTSMatAddExpr class repr...
Definition: Forward.h:114
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:116
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:167
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatAddExpr.h:171
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
#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
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:112
Header file for the IsUpper type trait.
Header file for exception macros.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatAddExpr.h:180
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.