SMatDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
74 #include <blaze/util/Assert.h>
76 #include <blaze/util/EnableIf.h>
77 #include <blaze/util/Exception.h>
78 #include <blaze/util/InvalidType.h>
80 #include <blaze/util/mpl/And.h>
81 #include <blaze/util/mpl/Max.h>
82 #include <blaze/util/SelectType.h>
83 #include <blaze/util/Types.h>
85 
86 
87 namespace blaze {
88 
89 //=================================================================================================
90 //
91 // CLASS SMATDMATSUBEXPR
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 dense matrix
104  , bool SO > // Storage order
105 class SMatDMatSubExpr : public DenseMatrix< SMatDMatSubExpr<MT1,MT2,SO>, SO >
106  , private MatMatSubExpr
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  //**********************************************************************************************
116 
117  //**Return type evaluation**********************************************************************
119 
124  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
125 
128  //**********************************************************************************************
129 
130  //**Parallel evaluation strategy****************************************************************
132 
137  template< typename MT >
138  struct UseSMPAssign {
139  enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
140  };
142  //**********************************************************************************************
143 
144  public:
145  //**Type definitions****************************************************************************
151 
154 
156  typedef const ResultType CompositeType;
157 
159  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
160 
162  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
163  //**********************************************************************************************
164 
165  //**Compilation flags***************************************************************************
167  enum { vectorizable = 0 };
168 
170  enum { smpAssignable = 0 };
171  //**********************************************************************************************
172 
173  //**Constructor*********************************************************************************
179  explicit inline SMatDMatSubExpr( const MT1& lhs, const MT2& rhs )
180  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
181  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
182  {
183  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
184  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
185  }
186  //**********************************************************************************************
187 
188  //**Access operator*****************************************************************************
195  inline ReturnType operator()( size_t i, size_t j ) const {
196  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
197  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
198  return lhs_(i,j) - rhs_(i,j);
199  }
200  //**********************************************************************************************
201 
202  //**At function*********************************************************************************
210  inline ReturnType at( size_t i, size_t j ) const {
211  if( i >= lhs_.rows() ) {
212  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
213  }
214  if( j >= lhs_.columns() ) {
215  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
216  }
217  return (*this)(i,j);
218  }
219  //**********************************************************************************************
220 
221  //**Rows function*******************************************************************************
226  inline size_t rows() const {
227  return lhs_.rows();
228  }
229  //**********************************************************************************************
230 
231  //**Columns function****************************************************************************
236  inline size_t columns() const {
237  return lhs_.columns();
238  }
239  //**********************************************************************************************
240 
241  //**Left operand access*************************************************************************
246  inline LeftOperand leftOperand() const {
247  return lhs_;
248  }
249  //**********************************************************************************************
250 
251  //**Right operand access************************************************************************
256  inline RightOperand rightOperand() const {
257  return rhs_;
258  }
259  //**********************************************************************************************
260 
261  //**********************************************************************************************
267  template< typename T >
268  inline bool canAlias( const T* alias ) const {
269  return ( lhs_.canAlias( alias ) ) ||
270  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
271  }
272  //**********************************************************************************************
273 
274  //**********************************************************************************************
280  template< typename T >
281  inline bool isAliased( const T* alias ) const {
282  return lhs_.isAliased( alias ) || rhs_.isAliased( alias );
283  }
284  //**********************************************************************************************
285 
286  private:
287  //**Member variables****************************************************************************
288  LeftOperand lhs_;
289  RightOperand rhs_;
290  //**********************************************************************************************
291 
292  //**Assignment to dense matrices****************************************************************
304  template< typename MT // Type of the target dense matrix
305  , bool SO2 > // Storage order of the target dense matrix
306  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
307  {
309 
310  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
311  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
312 
313  assign ( ~lhs, -rhs.rhs_ );
314  addAssign( ~lhs, rhs.lhs_ );
315  }
317  //**********************************************************************************************
318 
319  //**Assignment to sparse matrices***************************************************************
331  template< typename MT // Type of the target sparse matrix
332  , bool SO2 > // Storage order of the target sparse matrix
333  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
334  {
336 
338 
345 
346  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
347  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
348 
349  const TmpType tmp( serial( rhs ) );
350  assign( ~lhs, tmp );
351  }
353  //**********************************************************************************************
354 
355  //**Addition assignment to dense matrices*******************************************************
367  template< typename MT // Type of the target dense matrix
368  , bool SO2 > // Storage order of the target dense matrix
369  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
370  {
372 
373  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
374  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
375 
376  subAssign( ~lhs, rhs.rhs_ );
377  addAssign( ~lhs, rhs.lhs_ );
378  }
380  //**********************************************************************************************
381 
382  //**Addition assignment to sparse matrices******************************************************
383  // No special implementation for the addition assignment to sparse matrices.
384  //**********************************************************************************************
385 
386  //**Subtraction assignment to dense matrices****************************************************
398  template< typename MT // Type of the target dense matrix
399  , bool SO2 > // Storage order of the target dense matrix
400  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
401  {
403 
404  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
405  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
406 
407  addAssign( ~lhs, rhs.rhs_ );
408  subAssign( ~lhs, rhs.lhs_ );
409  }
411  //**********************************************************************************************
412 
413  //**Subtraction assignment to sparse matrices***************************************************
414  // No special implementation for the subtraction assignment to sparse matrices.
415  //**********************************************************************************************
416 
417  //**Multiplication assignment to dense matrices*************************************************
418  // No special implementation for the multiplication assignment to dense matrices.
419  //**********************************************************************************************
420 
421  //**Multiplication assignment to sparse matrices************************************************
422  // No special implementation for the multiplication assignment to sparse matrices.
423  //**********************************************************************************************
424 
425  //**SMP assignment to dense matrices*************************************************************
439  template< typename MT // Type of the target dense matrix
440  , bool SO2 > // Storage order of the target dense matrix
441  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
442  smpAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
443  {
445 
446  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
447  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
448 
449  smpAssign ( ~lhs, -rhs.rhs_ );
450  smpAddAssign( ~lhs, rhs.lhs_ );
451  }
453  //**********************************************************************************************
454 
455  //**SMP assignment to sparse matrices***********************************************************
469  template< typename MT // Type of the target sparse matrix
470  , bool SO2 > // Storage order of the target sparse matrix
471  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
472  smpAssign( SparseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
473  {
475 
476  typedef typename SelectType< SO == SO2, ResultType, OppositeType >::Type TmpType;
477 
484 
485  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
486  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
487 
488  const TmpType tmp( rhs );
489  smpAssign( ~lhs, tmp );
490  }
492  //**********************************************************************************************
493 
494  //**SMP addition assignment to dense matrices***************************************************
508  template< typename MT // Type of the target dense matrix
509  , bool SO2 > // Storage order of the target dense matrix
510  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
511  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
512  {
514 
515  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
516  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
517 
518  smpSubAssign( ~lhs, rhs.rhs_ );
519  smpAddAssign( ~lhs, rhs.lhs_ );
520  }
522  //**********************************************************************************************
523 
524  //**SMP addition assignment to sparse matrices**************************************************
525  // No special implementation for the SMP addition assignment to sparse matrices.
526  //**********************************************************************************************
527 
528  //**SMP subtraction assignment to dense matrices************************************************
542  template< typename MT // Type of the target dense matrix
543  , bool SO2 > // Storage order of the target dense matrix
544  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
545  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
546  {
548 
549  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
550  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
551 
552  smpAddAssign( ~lhs, rhs.rhs_ );
553  smpSubAssign( ~lhs, rhs.lhs_ );
554  }
556  //**********************************************************************************************
557 
558  //**SMP subtraction assignment to sparse matrices***********************************************
559  // No special implementation for the SMP subtraction assignment to sparse matrices.
560  //**********************************************************************************************
561 
562  //**SMP multiplication assignment to dense matrices*********************************************
563  // No special implementation for the SMP multiplication assignment to dense matrices.
564  //**********************************************************************************************
565 
566  //**SMP multiplication assignment to sparse matrices********************************************
567  // No special implementation for the SMP multiplication assignment to sparse matrices.
568  //**********************************************************************************************
569 
570  //**Compile time checks*************************************************************************
577  //**********************************************************************************************
578 };
579 //*************************************************************************************************
580 
581 
582 
583 
584 //=================================================================================================
585 //
586 // GLOBAL BINARY ARITHMETIC OPERATORS
587 //
588 //=================================================================================================
589 
590 //*************************************************************************************************
619 template< typename T1 // Type of the left-hand side sparse matrix
620  , typename T2 // Type of the right-hand side dense matrix
621  , bool SO > // Storage order
622 inline const SMatDMatSubExpr<T1,T2,SO>
624 {
626 
627  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
628  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
629  }
630 
631  return SMatDMatSubExpr<T1,T2,SO>( ~lhs, ~rhs );
632 }
633 //*************************************************************************************************
634 
635 
636 
637 
638 //=================================================================================================
639 //
640 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
641 //
642 //=================================================================================================
643 
644 //*************************************************************************************************
657 template< typename T1 // Type of the sparse matrix of the left-hand side expression
658  , typename T2 // Type of the dense matrix of the left-hand side expression
659  , bool SO1 // Storage order of the left-hand side expression
660  , typename T3 // Type of the right-hand side dense matrix
661  , bool SO2 > // Storage order of the right-hand side dense matrix
662 inline const typename AddExprTrait< SMatDMatSubExpr<T1,T2,SO1>, T3 >::Type
663  operator+( const SMatDMatSubExpr<T1,T2,SO1>& lhs, const DenseMatrix<T3,SO2>& rhs )
664 {
666 
667  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
668 }
670 //*************************************************************************************************
671 
672 
673 //*************************************************************************************************
686 template< typename T1 // Type of the sparse matrix of the left-hand side expression
687  , typename T2 // Type of the dense matrix of the left-hand side expression
688  , bool SO1 // Storage order of the left-hand side expression
689  , typename T3 // Type of the right-hand side dense matrix
690  , bool SO2 > // Storage order of the right-hand side dense matrix
691 inline const typename SubExprTrait< SMatDMatSubExpr<T1,T2,SO1>, T3 >::Type
692  operator-( const SMatDMatSubExpr<T1,T2,SO1>& lhs, const DenseMatrix<T3,SO2>& rhs )
693 {
695 
696  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
697 }
699 //*************************************************************************************************
700 
701 
702 
703 
704 //=================================================================================================
705 //
706 // ROWS SPECIALIZATIONS
707 //
708 //=================================================================================================
709 
710 //*************************************************************************************************
712 template< typename MT1, typename MT2, bool SO >
713 struct Rows< SMatDMatSubExpr<MT1,MT2,SO> >
714  : public Max< Rows<MT1>, Rows<MT2> >
715 {};
717 //*************************************************************************************************
718 
719 
720 
721 
722 //=================================================================================================
723 //
724 // COLUMNS SPECIALIZATIONS
725 //
726 //=================================================================================================
727 
728 //*************************************************************************************************
730 template< typename MT1, typename MT2, bool SO >
731 struct Columns< SMatDMatSubExpr<MT1,MT2,SO> >
732  : public Max< Columns<MT1>, Columns<MT2> >
733 {};
735 //*************************************************************************************************
736 
737 
738 
739 
740 //=================================================================================================
741 //
742 // ISSYMMETRIC SPECIALIZATIONS
743 //
744 //=================================================================================================
745 
746 //*************************************************************************************************
748 template< typename MT1, typename MT2, bool SO >
749 struct IsSymmetric< SMatDMatSubExpr<MT1,MT2,SO> >
750  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
751 {};
753 //*************************************************************************************************
754 
755 
756 
757 
758 //=================================================================================================
759 //
760 // ISHERMITIAN SPECIALIZATIONS
761 //
762 //=================================================================================================
763 
764 //*************************************************************************************************
766 template< typename MT1, typename MT2, bool SO >
767 struct IsHermitian< SMatDMatSubExpr<MT1,MT2,SO> >
768  : public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
769 {};
771 //*************************************************************************************************
772 
773 
774 
775 
776 //=================================================================================================
777 //
778 // ISLOWER SPECIALIZATIONS
779 //
780 //=================================================================================================
781 
782 //*************************************************************************************************
784 template< typename MT1, typename MT2, bool SO >
785 struct IsLower< SMatDMatSubExpr<MT1,MT2,SO> >
786  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
787 {};
789 //*************************************************************************************************
790 
791 
792 
793 
794 //=================================================================================================
795 //
796 // ISUNILOWER SPECIALIZATIONS
797 //
798 //=================================================================================================
799 
800 //*************************************************************************************************
802 template< typename MT1, typename MT2, bool SO >
803 struct IsUniLower< SMatDMatSubExpr<MT1,MT2,SO> >
804  : public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
805 {};
807 //*************************************************************************************************
808 
809 
810 
811 
812 //=================================================================================================
813 //
814 // ISSTRICTLYLOWER SPECIALIZATIONS
815 //
816 //=================================================================================================
817 
818 //*************************************************************************************************
820 template< typename MT1, typename MT2, bool SO >
821 struct IsStrictlyLower< SMatDMatSubExpr<MT1,MT2,SO> >
822  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
823 {};
825 //*************************************************************************************************
826 
827 
828 
829 
830 //=================================================================================================
831 //
832 // ISUPPER SPECIALIZATIONS
833 //
834 //=================================================================================================
835 
836 //*************************************************************************************************
838 template< typename MT1, typename MT2, bool SO >
839 struct IsUpper< SMatDMatSubExpr<MT1,MT2,SO> >
840  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
841 {};
843 //*************************************************************************************************
844 
845 
846 
847 
848 //=================================================================================================
849 //
850 // ISUNIUPPER SPECIALIZATIONS
851 //
852 //=================================================================================================
853 
854 //*************************************************************************************************
856 template< typename MT1, typename MT2, bool SO >
857 struct IsUniUpper< SMatDMatSubExpr<MT1,MT2,SO> >
858  : public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
859 {};
861 //*************************************************************************************************
862 
863 
864 
865 
866 //=================================================================================================
867 //
868 // ISSTRICTLYUPPER SPECIALIZATIONS
869 //
870 //=================================================================================================
871 
872 //*************************************************************************************************
874 template< typename MT1, typename MT2, bool SO >
875 struct IsStrictlyUpper< SMatDMatSubExpr<MT1,MT2,SO> >
876  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
877 {};
879 //*************************************************************************************************
880 
881 
882 
883 
884 //=================================================================================================
885 //
886 // EXPRESSION TRAIT SPECIALIZATIONS
887 //
888 //=================================================================================================
889 
890 //*************************************************************************************************
892 template< typename MT1, typename MT2, typename MT3 >
893 struct DMatDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
894 {
895  public:
896  //**********************************************************************************************
898  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
899  IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
900  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
901  , typename DMatSMatAddExprTrait< typename DMatDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
902  , INVALID_TYPE >::Type Type;
904  //**********************************************************************************************
905 };
907 //*************************************************************************************************
908 
909 
910 //*************************************************************************************************
912 template< typename MT1, typename MT2, typename MT3 >
913 struct DMatTDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
914 {
915  public:
916  //**********************************************************************************************
918  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
919  IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
920  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
921  , typename DMatSMatAddExprTrait< typename TDMatDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
922  , INVALID_TYPE >::Type Type;
924  //**********************************************************************************************
925 };
927 //*************************************************************************************************
928 
929 
930 //*************************************************************************************************
932 template< typename MT1, typename MT2, typename MT3 >
933 struct TDMatDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
934 {
935  public:
936  //**********************************************************************************************
938  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
939  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
940  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
941  , typename DMatTSMatAddExprTrait< typename DMatTDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
942  , INVALID_TYPE >::Type Type;
944  //**********************************************************************************************
945 };
947 //*************************************************************************************************
948 
949 
950 //*************************************************************************************************
952 template< typename MT1, typename MT2, typename MT3 >
953 struct TDMatTDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
954 {
955  public:
956  //**********************************************************************************************
958  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
959  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
960  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
961  , typename TDMatTSMatAddExprTrait< typename TDMatTDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
962  , INVALID_TYPE >::Type Type;
964  //**********************************************************************************************
965 };
967 //*************************************************************************************************
968 
969 
970 //*************************************************************************************************
972 template< typename MT1, typename MT2, typename MT3 >
973 struct DMatDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
974 {
975  public:
976  //**********************************************************************************************
978  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
979  IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
980  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
981  , typename SMatDMatSubExprTrait< MT1, typename DMatDMatAddExprTrait<MT2,MT3>::Type >::Type
982  , INVALID_TYPE >::Type Type;
984  //**********************************************************************************************
985 };
987 //*************************************************************************************************
988 
989 
990 //*************************************************************************************************
992 template< typename MT1, typename MT2, typename MT3 >
993 struct DMatTDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
994 {
995  public:
996  //**********************************************************************************************
998  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
999  IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
1000  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
1001  , typename SMatDMatSubExprTrait< MT1, typename DMatTDMatAddExprTrait<MT2,MT3>::Type >::Type
1002  , INVALID_TYPE >::Type Type;
1004  //**********************************************************************************************
1005 };
1007 //*************************************************************************************************
1008 
1009 
1010 //*************************************************************************************************
1012 template< typename MT1, typename MT2, typename MT3 >
1013 struct TDMatDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
1014 {
1015  public:
1016  //**********************************************************************************************
1018  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1019  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1020  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
1021  , typename TSMatDMatSubExprTrait< MT1, typename TDMatDMatAddExprTrait<MT2,MT3>::Type >::Type
1022  , INVALID_TYPE >::Type Type;
1024  //**********************************************************************************************
1025 };
1027 //*************************************************************************************************
1028 
1029 
1030 //*************************************************************************************************
1032 template< typename MT1, typename MT2, typename MT3 >
1033 struct TDMatTDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
1034 {
1035  public:
1036  //**********************************************************************************************
1038  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1039  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1040  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
1041  , typename TSMatTDMatSubExprTrait< MT1, typename TDMatTDMatAddExprTrait<MT2,MT3>::Type >::Type
1042  , INVALID_TYPE >::Type Type;
1044  //**********************************************************************************************
1045 };
1047 //*************************************************************************************************
1048 
1049 
1050 //*************************************************************************************************
1052 template< typename MT1, typename MT2, bool SO, bool AF >
1053 struct SubmatrixExprTrait< SMatDMatSubExpr<MT1,MT2,SO>, AF >
1054 {
1055  public:
1056  //**********************************************************************************************
1057  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1058  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1059  //**********************************************************************************************
1060 };
1062 //*************************************************************************************************
1063 
1064 
1065 //*************************************************************************************************
1067 template< typename MT1, typename MT2, bool SO >
1068 struct RowExprTrait< SMatDMatSubExpr<MT1,MT2,SO> >
1069 {
1070  public:
1071  //**********************************************************************************************
1072  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1073  , typename RowExprTrait<const MT2>::Type >::Type Type;
1074  //**********************************************************************************************
1075 };
1077 //*************************************************************************************************
1078 
1079 
1080 //*************************************************************************************************
1082 template< typename MT1, typename MT2, bool SO >
1083 struct ColumnExprTrait< SMatDMatSubExpr<MT1,MT2,SO> >
1084 {
1085  public:
1086  //**********************************************************************************************
1087  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1088  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1089  //**********************************************************************************************
1090 };
1092 //*************************************************************************************************
1093 
1094 } // namespace blaze
1095 
1096 #endif
Constraint on the data type.
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDMatSubExpr.h:195
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDMatSubExpr.h:148
Header file for the Max class template.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
Header file for the subtraction trait.
Header file for basic type definitions.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:111
MT2::ReturnType RN2
Return type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:114
Header file for the IsSparseMatrix type trait.
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:81
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:79
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
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
Header file for the And class template.
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:288
Header file for the AddExprTrait class template.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:289
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.
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
Constraint on the data type.
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatDMatSubExpr.h:153
Constraint on the data type.
Constraint on the data type.
Expression object for sparse matrix-dense matrix subtractions.The SMatDMatSubExpr class represents th...
Definition: Forward.h:98
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 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
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:112
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatDMatSubExpr.h:147
#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
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatDMatSubExpr.h:150
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:159
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:642
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:113
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:78
Constraints on the storage order of matrix types.
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:104
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatDMatSubExpr.h:149
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatDMatSubExpr.h:127
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 IsDenseMatrix type trait.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatDMatSubExpr.h:226
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the serial shim.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatDMatSubExpr.h:236
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
Header file for the SubmatrixExprTrait class template.
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2587
Header file for run time assertion macros.
EnableIf< IsDenseMatrix< MT1 > >::Type smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
Utility type for generic codes.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:162
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatDMatSubExpr.h:268
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_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:122
SMatDMatSubExpr< MT1, MT2, SO > This
Type of this SMatDMatSubExpr instance.
Definition: SMatDMatSubExpr.h:146
Header file for the IsRowMajorMatrix type trait.
SMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatDMatSubExpr class.
Definition: SMatDMatSubExpr.h:179
RightOperand rightOperand() const
Returns the right-hand side dense matrix operand.
Definition: SMatDMatSubExpr.h:256
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatDMatSubExpr.h:156
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
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatDMatSubExpr.h:246
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatDMatSubExpr.h:281
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:165
Base template for the SubTrait class.
Definition: SubTrait.h:138
Header file for the IsUpper type trait.
Header file for exception macros.
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
#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
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:87
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDMatSubExpr.h:210