DMatSMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_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 DMATSMATSUBEXPR
92 //
93 //=================================================================================================
94 
95 //*************************************************************************************************
102 template< typename MT1 // Type of the left-hand side dense matrix
103  , typename MT2 // Type of the right-hand side sparse matrix
104  , bool SO > // Storage order
105 class DMatSMatSubExpr : public DenseMatrix< DMatSMatSubExpr<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 DMatSMatSubExpr( const MT1& lhs, const MT2& rhs )
180  : lhs_( lhs ) // Left-hand side dense matrix of the subtraction expression
181  , rhs_( rhs ) // Right-hand side sparse 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 ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
270  ( 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 DMatSMatSubExpr& 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  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
314  subAssign( ~lhs, rhs.rhs_ );
315  }
316  else {
317  assign ( ~lhs, rhs.lhs_ );
318  subAssign( ~lhs, rhs.rhs_ );
319  }
320  }
322  //**********************************************************************************************
323 
324  //**Assignment to sparse matrices***************************************************************
336  template< typename MT // Type of the target sparse matrix
337  , bool SO2 > // Storage order of the target sparse matrix
338  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
339  {
341 
343 
350 
351  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
352  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
353 
354  const TmpType tmp( serial( rhs ) );
355  assign( ~lhs, tmp );
356  }
358  //**********************************************************************************************
359 
360  //**Addition assignment to dense matrices*******************************************************
372  template< typename MT // Type of the target dense matrix
373  , bool SO2 > // Storage order of the target dense matrix
374  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
375  {
377 
378  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
379  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
380 
381  addAssign( ~lhs, rhs.lhs_ );
382  subAssign( ~lhs, rhs.rhs_ );
383  }
385  //**********************************************************************************************
386 
387  //**Addition assignment to sparse matrices******************************************************
388  // No special implementation for the addition assignment to sparse matrices.
389  //**********************************************************************************************
390 
391  //**Subtraction assignment to dense matrices****************************************************
403  template< typename MT // Type of the target dense matrix
404  , bool SO2 > // Storage order of the target dense matrix
405  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
406  {
408 
409  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
410  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
411 
412  subAssign( ~lhs, rhs.lhs_ );
413  addAssign( ~lhs, rhs.rhs_ );
414  }
416  //**********************************************************************************************
417 
418  //**Subtraction assignment to sparse matrices***************************************************
419  // No special implementation for the subtraction assignment to sparse matrices.
420  //**********************************************************************************************
421 
422  //**Multiplication assignment to dense matrices*************************************************
423  // No special implementation for the multiplication assignment to dense matrices.
424  //**********************************************************************************************
425 
426  //**Multiplication assignment to sparse matrices************************************************
427  // No special implementation for the multiplication assignment to sparse matrices.
428  //**********************************************************************************************
429 
430  //**SMP assignment to dense matrices************************************************************
444  template< typename MT // Type of the target dense matrix
445  , bool SO2 > // Storage order of the target dense matrix
446  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
447  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
448  {
450 
451  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
452  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
453 
454  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
455  smpSubAssign( ~lhs, rhs.rhs_ );
456  }
457  else {
458  smpAssign ( ~lhs, rhs.lhs_ );
459  smpSubAssign( ~lhs, rhs.rhs_ );
460  }
461  }
463  //**********************************************************************************************
464 
465  //**SMP assignment to sparse matrices***********************************************************
479  template< typename MT // Type of the target sparse matrix
480  , bool SO2 > // Storage order of the target sparse matrix
481  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
482  smpAssign( SparseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
483  {
485 
486  typedef typename SelectType< SO == SO2, ResultType, OppositeType >::Type TmpType;
487 
494 
495  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
496  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
497 
498  const TmpType tmp( rhs );
499  smpAssign( ~lhs, tmp );
500  }
502  //**********************************************************************************************
503 
504  //**SMP addition assignment to dense matrices***************************************************
518  template< typename MT // Type of the target dense matrix
519  , bool SO2 > // Storage order of the target dense matrix
520  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
521  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
522  {
524 
525  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
526  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
527 
528  smpAddAssign( ~lhs, rhs.lhs_ );
529  smpSubAssign( ~lhs, rhs.rhs_ );
530  }
532  //**********************************************************************************************
533 
534  //**SMP addition assignment to sparse matrices**************************************************
535  // No special implementation for the SMP addition assignment to sparse matrices.
536  //**********************************************************************************************
537 
538  //**SMP subtraction assignment to dense matrices************************************************
552  template< typename MT // Type of the target dense matrix
553  , bool SO2 > // Storage order of the target dense matrix
554  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
555  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
556  {
558 
559  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
560  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
561 
562  smpSubAssign( ~lhs, rhs.lhs_ );
563  smpAddAssign( ~lhs, rhs.rhs_ );
564  }
566  //**********************************************************************************************
567 
568  //**SMP subtraction assignment to sparse matrices***********************************************
569  // No special implementation for the SMP subtraction assignment to sparse matrices.
570  //**********************************************************************************************
571 
572  //**SMP multiplication assignment to dense matrices*********************************************
573  // No special implementation for the SMP multiplication assignment to dense matrices.
574  //**********************************************************************************************
575 
576  //**SMP multiplication assignment to sparse matrices************************************************
577  // No special implementation for the SMP multiplication assignment to sparse matrices.
578  //**********************************************************************************************
579 
580  //**Compile time checks*************************************************************************
587  //**********************************************************************************************
588 };
589 //*************************************************************************************************
590 
591 
592 
593 
594 //=================================================================================================
595 //
596 // GLOBAL BINARY ARITHMETIC OPERATORS
597 //
598 //=================================================================================================
599 
600 //*************************************************************************************************
629 template< typename T1 // Type of the left-hand side dense matrix
630  , typename T2 // Type of the right-hand side sparse matrix
631  , bool SO > // Storage order
632 inline const DMatSMatSubExpr<T1,T2,SO>
634 {
636 
637  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
638  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
639  }
640 
641  return DMatSMatSubExpr<T1,T2,SO>( ~lhs, ~rhs );
642 }
643 //*************************************************************************************************
644 
645 
646 
647 
648 //=================================================================================================
649 //
650 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
651 //
652 //=================================================================================================
653 
654 //*************************************************************************************************
667 template< typename T1 // Type of the dense matrix of the left-hand side expression
668  , typename T2 // Type of the sparse matrix of the left-hand side expression
669  , bool SO1 // Storage order of the left-hand side expression
670  , typename T3 // Type of the right-hand side dense matrix
671  , bool SO2 > // Storage order of the right-hand side dense matrix
672 inline const typename AddExprTrait< DMatSMatSubExpr<T1,T2,SO1>, T3 >::Type
673  operator+( const DMatSMatSubExpr<T1,T2,SO1>& lhs, const DenseMatrix<T3,SO2>& rhs )
674 {
676 
677  return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
678 }
680 //*************************************************************************************************
681 
682 
683 //*************************************************************************************************
696 template< typename T1 // Type of the dense matrix of the left-hand side expression
697  , typename T2 // Type of the sparse matrix of the left-hand side expression
698  , bool SO1 // Storage order of the left-hand side expression
699  , typename T3 // Type of the right-hand side dense matrix
700  , bool SO2 > // Storage order of the right-hand side dense matrix
701 inline const typename SubExprTrait< DMatSMatSubExpr<T1,T2,SO1>, T3 >::Type
702  operator-( const DMatSMatSubExpr<T1,T2,SO1>& lhs, const DenseMatrix<T3,SO2>& rhs )
703 {
705 
706  return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
707 }
709 //*************************************************************************************************
710 
711 
712 
713 
714 //=================================================================================================
715 //
716 // ROWS SPECIALIZATIONS
717 //
718 //=================================================================================================
719 
720 //*************************************************************************************************
722 template< typename MT1, typename MT2, bool SO >
723 struct Rows< DMatSMatSubExpr<MT1,MT2,SO> >
724  : public Max< Rows<MT1>, Rows<MT2> >
725 {};
727 //*************************************************************************************************
728 
729 
730 
731 
732 //=================================================================================================
733 //
734 // COLUMNS SPECIALIZATIONS
735 //
736 //=================================================================================================
737 
738 //*************************************************************************************************
740 template< typename MT1, typename MT2, bool SO >
741 struct Columns< DMatSMatSubExpr<MT1,MT2,SO> >
742  : public Max< Columns<MT1>, Columns<MT2> >
743 {};
745 //*************************************************************************************************
746 
747 
748 
749 
750 //=================================================================================================
751 //
752 // ISSYMMETRIC SPECIALIZATIONS
753 //
754 //=================================================================================================
755 
756 //*************************************************************************************************
758 template< typename MT1, typename MT2, bool SO >
759 struct IsSymmetric< DMatSMatSubExpr<MT1,MT2,SO> >
760  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
761 {};
763 //*************************************************************************************************
764 
765 
766 
767 
768 //=================================================================================================
769 //
770 // ISHERMITIAN SPECIALIZATIONS
771 //
772 //=================================================================================================
773 
774 //*************************************************************************************************
776 template< typename MT1, typename MT2, bool SO >
777 struct IsHermitian< DMatSMatSubExpr<MT1,MT2,SO> >
778  : public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
779 {};
781 //*************************************************************************************************
782 
783 
784 
785 
786 //=================================================================================================
787 //
788 // ISLOWER SPECIALIZATIONS
789 //
790 //=================================================================================================
791 
792 //*************************************************************************************************
794 template< typename MT1, typename MT2, bool SO >
795 struct IsLower< DMatSMatSubExpr<MT1,MT2,SO> >
796  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
797 {};
799 //*************************************************************************************************
800 
801 
802 
803 
804 //=================================================================================================
805 //
806 // ISUNILOWER SPECIALIZATIONS
807 //
808 //=================================================================================================
809 
810 //*************************************************************************************************
812 template< typename MT1, typename MT2, bool SO >
813 struct IsUniLower< DMatSMatSubExpr<MT1,MT2,SO> >
814  : public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
815 {};
817 //*************************************************************************************************
818 
819 
820 
821 
822 //=================================================================================================
823 //
824 // ISSTRICTLYLOWER SPECIALIZATIONS
825 //
826 //=================================================================================================
827 
828 //*************************************************************************************************
830 template< typename MT1, typename MT2, bool SO >
831 struct IsStrictlyLower< DMatSMatSubExpr<MT1,MT2,SO> >
832  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
833 {};
835 //*************************************************************************************************
836 
837 
838 
839 
840 //=================================================================================================
841 //
842 // ISUPPER SPECIALIZATIONS
843 //
844 //=================================================================================================
845 
846 //*************************************************************************************************
848 template< typename MT1, typename MT2, bool SO >
849 struct IsUpper< DMatSMatSubExpr<MT1,MT2,SO> >
850  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
851 {};
853 //*************************************************************************************************
854 
855 
856 
857 
858 //=================================================================================================
859 //
860 // ISUNIUPPER SPECIALIZATIONS
861 //
862 //=================================================================================================
863 
864 //*************************************************************************************************
866 template< typename MT1, typename MT2, bool SO >
867 struct IsUniUpper< DMatSMatSubExpr<MT1,MT2,SO> >
868  : public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
869 {};
871 //*************************************************************************************************
872 
873 
874 
875 
876 //=================================================================================================
877 //
878 // ISSTRICTLYUPPER SPECIALIZATIONS
879 //
880 //=================================================================================================
881 
882 //*************************************************************************************************
884 template< typename MT1, typename MT2, bool SO >
885 struct IsStrictlyUpper< DMatSMatSubExpr<MT1,MT2,SO> >
886  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
887 {};
889 //*************************************************************************************************
890 
891 
892 
893 
894 //=================================================================================================
895 //
896 // EXPRESSION TRAIT SPECIALIZATIONS
897 //
898 //=================================================================================================
899 
900 //*************************************************************************************************
902 template< typename MT1, typename MT2, typename MT3 >
903 struct DMatDMatAddExprTrait< DMatSMatSubExpr<MT1,MT2,false>, MT3 >
904 {
905  public:
906  //**********************************************************************************************
908  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
909  IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
910  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
911  , typename DMatSMatSubExprTrait< typename DMatDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
912  , INVALID_TYPE >::Type Type;
914  //**********************************************************************************************
915 };
917 //*************************************************************************************************
918 
919 
920 //*************************************************************************************************
922 template< typename MT1, typename MT2, typename MT3 >
923 struct DMatTDMatAddExprTrait< DMatSMatSubExpr<MT1,MT2,false>, MT3 >
924 {
925  public:
926  //**********************************************************************************************
928  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
929  IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
930  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
931  , typename DMatSMatSubExprTrait< typename DMatTDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
932  , INVALID_TYPE >::Type Type;
934  //**********************************************************************************************
935 };
937 //*************************************************************************************************
938 
939 
940 //*************************************************************************************************
942 template< typename MT1, typename MT2, typename MT3 >
943 struct TDMatDMatAddExprTrait< DMatSMatSubExpr<MT1,MT2,true>, MT3 >
944 {
945  public:
946  //**********************************************************************************************
948  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
949  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
950  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
951  , typename DMatTSMatSubExprTrait< typename TDMatDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
952  , INVALID_TYPE >::Type Type;
954  //**********************************************************************************************
955 };
957 //*************************************************************************************************
958 
959 
960 //*************************************************************************************************
962 template< typename MT1, typename MT2, typename MT3 >
963 struct TDMatTDMatAddExprTrait< DMatSMatSubExpr<MT1,MT2,true>, MT3 >
964 {
965  public:
966  //**********************************************************************************************
968  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
969  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
970  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
971  , typename TDMatTSMatSubExprTrait< typename TDMatTDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
972  , INVALID_TYPE >::Type Type;
974  //**********************************************************************************************
975 };
977 //*************************************************************************************************
978 
979 
980 //*************************************************************************************************
982 template< typename MT1, typename MT2, typename MT3 >
983 struct DMatDMatSubExprTrait< DMatSMatSubExpr<MT1,MT2,false>, MT3 >
984 {
985  public:
986  //**********************************************************************************************
988  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
989  IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
990  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
991  , typename DMatSMatSubExprTrait< typename DMatDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
992  , INVALID_TYPE >::Type Type;
994  //**********************************************************************************************
995 };
997 //*************************************************************************************************
998 
999 
1000 //*************************************************************************************************
1002 template< typename MT1, typename MT2, typename MT3 >
1003 struct DMatTDMatSubExprTrait< DMatSMatSubExpr<MT1,MT2,false>, MT3 >
1004 {
1005  public:
1006  //**********************************************************************************************
1008  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
1009  IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
1010  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
1011  , typename DMatSMatSubExprTrait< typename DMatTDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
1012  , INVALID_TYPE >::Type Type;
1014  //**********************************************************************************************
1015 };
1017 //*************************************************************************************************
1018 
1019 
1020 //*************************************************************************************************
1022 template< typename MT1, typename MT2, typename MT3 >
1023 struct TDMatDMatSubExprTrait< DMatSMatSubExpr<MT1,MT2,true>, MT3 >
1024 {
1025  public:
1026  //**********************************************************************************************
1028  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1029  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1030  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
1031  , typename DMatTSMatSubExprTrait< typename TDMatDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
1032  , INVALID_TYPE >::Type Type;
1034  //**********************************************************************************************
1035 };
1037 //*************************************************************************************************
1038 
1039 
1040 //*************************************************************************************************
1042 template< typename MT1, typename MT2, typename MT3 >
1043 struct TDMatTDMatSubExprTrait< DMatSMatSubExpr<MT1,MT2,true>, MT3 >
1044 {
1045  public:
1046  //**********************************************************************************************
1048  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1049  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1050  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
1051  , typename TDMatTSMatSubExprTrait< typename TDMatTDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
1052  , INVALID_TYPE >::Type Type;
1054  //**********************************************************************************************
1055 };
1057 //*************************************************************************************************
1058 
1059 
1060 //*************************************************************************************************
1062 template< typename MT1, typename MT2, bool SO, bool AF >
1063 struct SubmatrixExprTrait< DMatSMatSubExpr<MT1,MT2,SO>, AF >
1064 {
1065  public:
1066  //**********************************************************************************************
1067  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1068  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1069  //**********************************************************************************************
1070 };
1072 //*************************************************************************************************
1073 
1074 
1075 //*************************************************************************************************
1077 template< typename MT1, typename MT2, bool SO >
1078 struct RowExprTrait< DMatSMatSubExpr<MT1,MT2,SO> >
1079 {
1080  public:
1081  //**********************************************************************************************
1082  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1083  , typename RowExprTrait<const MT2>::Type >::Type Type;
1084  //**********************************************************************************************
1085 };
1087 //*************************************************************************************************
1088 
1089 
1090 //*************************************************************************************************
1092 template< typename MT1, typename MT2, bool SO >
1093 struct ColumnExprTrait< DMatSMatSubExpr<MT1,MT2,SO> >
1094 {
1095  public:
1096  //**********************************************************************************************
1097  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1098  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1099  //**********************************************************************************************
1100 };
1102 //*************************************************************************************************
1103 
1104 } // namespace blaze
1105 
1106 #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
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:289
Header file for the Max class template.
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:114
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.
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: DMatSMatSubExpr.h:147
Header file for the IsSparseMatrix type trait.
ResultType::ElementType ElementType
Resulting element type.
Definition: DMatSMatSubExpr.h:150
#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
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b)
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:647
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:112
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.
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 canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: DMatSMatSubExpr.h:268
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.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatSubExpr.h:195
Constraint on the data type.
Constraint on the data type.
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:288
Header file for the IsSymmetric type trait.
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:65
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#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
DMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the DMatSMatSubExpr class.
Definition: DMatSMatSubExpr.h:179
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
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
Header file for the MatMatSubExpr base class.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatSMatSubExpr.h:156
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
size_t columns() const
Returns the current number of columns of the matrix.
Definition: DMatSMatSubExpr.h:236
#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
MT1::ReturnType RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:113
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.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: DMatSMatSubExpr.h:281
Header file for the serial shim.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:162
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
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatSubExpr.h:148
DMatSMatSubExpr< MT1, MT2, SO > This
Type of this DMatSMatSubExpr instance.
Definition: DMatSMatSubExpr.h:146
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
Expression object for dense matrix-sparse matrix subtractions.The DMatSMatSubExpr class represents th...
Definition: DMatSMatSubExpr.h:105
Utility type for generic codes.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatSubExpr.h:210
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatSubExpr.h:149
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: DMatSMatSubExpr.h:127
RightOperand rightOperand() const
Returns the right-hand side dense matrix operand.
Definition: DMatSMatSubExpr.h:256
MT1::ResultType RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:111
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:159
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatSMatSubExpr.h:246
#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
Header file for the IsRowMajorMatrix type trait.
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
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.
#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.
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: DMatSMatSubExpr.h:153
#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
size_t rows() const
Returns the current number of rows of the matrix.
Definition: DMatSMatSubExpr.h:226
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.