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 
43 #include <blaze/math/Aliases.h>
48 #include <blaze/math/Exception.h>
76 #include <blaze/util/Assert.h>
78 #include <blaze/util/EnableIf.h>
80 #include <blaze/util/InvalidType.h>
82 #include <blaze/util/mpl/And.h>
83 #include <blaze/util/mpl/If.h>
84 #include <blaze/util/mpl/Max.h>
85 #include <blaze/util/Types.h>
86 
87 
88 namespace blaze {
89 
90 //=================================================================================================
91 //
92 // CLASS SMATDMATSUBEXPR
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 dense matrix
105  , bool SO > // Storage order
106 class SMatDMatSubExpr : public DenseMatrix< SMatDMatSubExpr<MT1,MT2,SO>, SO >
107  , private MatMatSubExpr
108  , private Computation
109 {
110  private:
111  //**Type definitions****************************************************************************
116  //**********************************************************************************************
117 
118  //**Return type evaluation**********************************************************************
120 
125  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
126 
129  //**********************************************************************************************
130 
131  //**Parallel evaluation strategy****************************************************************
133 
138  template< typename MT >
139  struct UseSMPAssign {
140  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
141  };
143  //**********************************************************************************************
144 
145  public:
146  //**Type definitions****************************************************************************
152 
155 
157  typedef const ResultType CompositeType;
158 
160  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
161 
163  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
164  //**********************************************************************************************
165 
166  //**Compilation flags***************************************************************************
168  enum : bool { simdEnabled = false };
169 
171  enum : bool { smpAssignable = false };
172  //**********************************************************************************************
173 
174  //**Constructor*********************************************************************************
180  explicit inline SMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
181  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
182  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
183  {
184  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
185  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
186  }
187  //**********************************************************************************************
188 
189  //**Access operator*****************************************************************************
196  inline ReturnType operator()( size_t i, size_t j ) const {
197  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
198  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
199  return lhs_(i,j) - rhs_(i,j);
200  }
201  //**********************************************************************************************
202 
203  //**At function*********************************************************************************
211  inline ReturnType at( size_t i, size_t j ) const {
212  if( i >= lhs_.rows() ) {
213  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
214  }
215  if( j >= lhs_.columns() ) {
216  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
217  }
218  return (*this)(i,j);
219  }
220  //**********************************************************************************************
221 
222  //**Rows function*******************************************************************************
227  inline size_t rows() const noexcept {
228  return lhs_.rows();
229  }
230  //**********************************************************************************************
231 
232  //**Columns function****************************************************************************
237  inline size_t columns() const noexcept {
238  return lhs_.columns();
239  }
240  //**********************************************************************************************
241 
242  //**Left operand access*************************************************************************
247  inline LeftOperand leftOperand() const noexcept {
248  return lhs_;
249  }
250  //**********************************************************************************************
251 
252  //**Right operand access************************************************************************
257  inline RightOperand rightOperand() const noexcept {
258  return rhs_;
259  }
260  //**********************************************************************************************
261 
262  //**********************************************************************************************
268  template< typename T >
269  inline bool canAlias( const T* alias ) const noexcept {
270  return ( lhs_.canAlias( alias ) ) ||
271  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
272  }
273  //**********************************************************************************************
274 
275  //**********************************************************************************************
281  template< typename T >
282  inline bool isAliased( const T* alias ) const noexcept {
283  return lhs_.isAliased( alias ) || rhs_.isAliased( alias );
284  }
285  //**********************************************************************************************
286 
287  private:
288  //**Member variables****************************************************************************
289  LeftOperand lhs_;
290  RightOperand rhs_;
291  //**********************************************************************************************
292 
293  //**Assignment to dense matrices****************************************************************
305  template< typename MT // Type of the target dense matrix
306  , bool SO2 > // Storage order of the target dense matrix
307  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
308  {
310 
311  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
312  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
313 
314  assign ( ~lhs, -rhs.rhs_ );
315  addAssign( ~lhs, rhs.lhs_ );
316  }
318  //**********************************************************************************************
319 
320  //**Assignment to sparse matrices***************************************************************
332  template< typename MT // Type of the target sparse matrix
333  , bool SO2 > // Storage order of the target sparse matrix
334  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
335  {
337 
339 
346 
347  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
348  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
349 
350  const TmpType tmp( serial( rhs ) );
351  assign( ~lhs, tmp );
352  }
354  //**********************************************************************************************
355 
356  //**Addition assignment to dense matrices*******************************************************
368  template< typename MT // Type of the target dense matrix
369  , bool SO2 > // Storage order of the target dense matrix
370  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
371  {
373 
374  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
375  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
376 
377  subAssign( ~lhs, rhs.rhs_ );
378  addAssign( ~lhs, rhs.lhs_ );
379  }
381  //**********************************************************************************************
382 
383  //**Addition assignment to sparse matrices******************************************************
384  // No special implementation for the addition assignment to sparse matrices.
385  //**********************************************************************************************
386 
387  //**Subtraction assignment to dense matrices****************************************************
399  template< typename MT // Type of the target dense matrix
400  , bool SO2 > // Storage order of the target dense matrix
401  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
402  {
404 
405  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
406  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
407 
408  addAssign( ~lhs, rhs.rhs_ );
409  subAssign( ~lhs, rhs.lhs_ );
410  }
412  //**********************************************************************************************
413 
414  //**Subtraction assignment to sparse matrices***************************************************
415  // No special implementation for the subtraction assignment to sparse matrices.
416  //**********************************************************************************************
417 
418  //**Multiplication assignment to dense matrices*************************************************
419  // No special implementation for the multiplication assignment to dense matrices.
420  //**********************************************************************************************
421 
422  //**Multiplication assignment to sparse matrices************************************************
423  // No special implementation for the multiplication assignment to sparse matrices.
424  //**********************************************************************************************
425 
426  //**SMP assignment to dense matrices*************************************************************
440  template< typename MT // Type of the target dense matrix
441  , bool SO2 > // Storage order of the target dense matrix
442  friend inline EnableIf_< UseSMPAssign<MT> >
443  smpAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
444  {
446 
447  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
448  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
449 
450  smpAssign ( ~lhs, -rhs.rhs_ );
451  smpAddAssign( ~lhs, rhs.lhs_ );
452  }
454  //**********************************************************************************************
455 
456  //**SMP assignment to sparse matrices***********************************************************
470  template< typename MT // Type of the target sparse matrix
471  , bool SO2 > // Storage order of the target sparse matrix
472  friend inline EnableIf_< UseSMPAssign<MT> >
473  smpAssign( SparseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
474  {
476 
477  typedef IfTrue_< SO == SO2, ResultType, OppositeType > TmpType;
478 
484  BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE( CompositeType_<TmpType> );
485 
486  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
487  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
488 
489  const TmpType tmp( rhs );
490  smpAssign( ~lhs, tmp );
491  }
493  //**********************************************************************************************
494 
495  //**SMP addition assignment to dense matrices***************************************************
509  template< typename MT // Type of the target dense matrix
510  , bool SO2 > // Storage order of the target dense matrix
511  friend inline EnableIf_< UseSMPAssign<MT> >
512  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
513  {
515 
516  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
517  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
518 
519  smpSubAssign( ~lhs, rhs.rhs_ );
520  smpAddAssign( ~lhs, rhs.lhs_ );
521  }
523  //**********************************************************************************************
524 
525  //**SMP addition assignment to sparse matrices**************************************************
526  // No special implementation for the SMP addition assignment to sparse matrices.
527  //**********************************************************************************************
528 
529  //**SMP subtraction assignment to dense matrices************************************************
543  template< typename MT // Type of the target dense matrix
544  , bool SO2 > // Storage order of the target dense matrix
545  friend inline EnableIf_< UseSMPAssign<MT> >
546  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
547  {
549 
550  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
551  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
552 
553  smpAddAssign( ~lhs, rhs.rhs_ );
554  smpSubAssign( ~lhs, rhs.lhs_ );
555  }
557  //**********************************************************************************************
558 
559  //**SMP subtraction assignment to sparse matrices***********************************************
560  // No special implementation for the SMP subtraction assignment to sparse matrices.
561  //**********************************************************************************************
562 
563  //**SMP multiplication assignment to dense matrices*********************************************
564  // No special implementation for the SMP multiplication assignment to dense matrices.
565  //**********************************************************************************************
566 
567  //**SMP multiplication assignment to sparse matrices********************************************
568  // No special implementation for the SMP multiplication assignment to sparse matrices.
569  //**********************************************************************************************
570 
571  //**Compile time checks*************************************************************************
578  //**********************************************************************************************
579 };
580 //*************************************************************************************************
581 
582 
583 
584 
585 //=================================================================================================
586 //
587 // GLOBAL BINARY ARITHMETIC OPERATORS
588 //
589 //=================================================================================================
590 
591 //*************************************************************************************************
620 template< typename T1 // Type of the left-hand side sparse matrix
621  , typename T2 // Type of the right-hand side dense matrix
622  , bool SO > // Storage order
623 inline const SMatDMatSubExpr<T1,T2,SO>
625 {
627 
628  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
629  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
630  }
631 
632  return SMatDMatSubExpr<T1,T2,SO>( ~lhs, ~rhs );
633 }
634 //*************************************************************************************************
635 
636 
637 
638 
639 //=================================================================================================
640 //
641 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
642 //
643 //=================================================================================================
644 
645 //*************************************************************************************************
658 template< typename T1 // Type of the sparse matrix of the left-hand side expression
659  , typename T2 // Type of the dense matrix of the left-hand side expression
660  , bool SO1 // Storage order of the left-hand side expression
661  , typename T3 // Type of the right-hand side dense matrix
662  , bool SO2 > // Storage order of the right-hand side dense matrix
663 inline const AddExprTrait_< SMatDMatSubExpr<T1,T2,SO1>, T3 >
664  operator+( const SMatDMatSubExpr<T1,T2,SO1>& lhs, const DenseMatrix<T3,SO2>& rhs )
665 {
667 
668  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
669 }
671 //*************************************************************************************************
672 
673 
674 //*************************************************************************************************
687 template< typename T1 // Type of the sparse matrix of the left-hand side expression
688  , typename T2 // Type of the dense matrix of the left-hand side expression
689  , bool SO1 // Storage order of the left-hand side expression
690  , typename T3 // Type of the right-hand side dense matrix
691  , bool SO2 > // Storage order of the right-hand side dense matrix
692 inline const SubExprTrait_< SMatDMatSubExpr<T1,T2,SO1>, T3 >
693  operator-( const SMatDMatSubExpr<T1,T2,SO1>& lhs, const DenseMatrix<T3,SO2>& rhs )
694 {
696 
697  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
698 }
700 //*************************************************************************************************
701 
702 
703 
704 
705 //=================================================================================================
706 //
707 // ROWS SPECIALIZATIONS
708 //
709 //=================================================================================================
710 
711 //*************************************************************************************************
713 template< typename MT1, typename MT2, bool SO >
714 struct Rows< SMatDMatSubExpr<MT1,MT2,SO> >
715  : public Max< Rows<MT1>, Rows<MT2> >
716 {};
718 //*************************************************************************************************
719 
720 
721 
722 
723 //=================================================================================================
724 //
725 // COLUMNS SPECIALIZATIONS
726 //
727 //=================================================================================================
728 
729 //*************************************************************************************************
731 template< typename MT1, typename MT2, bool SO >
732 struct Columns< SMatDMatSubExpr<MT1,MT2,SO> >
733  : public Max< Columns<MT1>, Columns<MT2> >
734 {};
736 //*************************************************************************************************
737 
738 
739 
740 
741 //=================================================================================================
742 //
743 // ISSYMMETRIC SPECIALIZATIONS
744 //
745 //=================================================================================================
746 
747 //*************************************************************************************************
749 template< typename MT1, typename MT2, bool SO >
750 struct IsSymmetric< SMatDMatSubExpr<MT1,MT2,SO> >
751  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
752 {};
754 //*************************************************************************************************
755 
756 
757 
758 
759 //=================================================================================================
760 //
761 // ISHERMITIAN SPECIALIZATIONS
762 //
763 //=================================================================================================
764 
765 //*************************************************************************************************
767 template< typename MT1, typename MT2, bool SO >
768 struct IsHermitian< SMatDMatSubExpr<MT1,MT2,SO> >
769  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
770 {};
772 //*************************************************************************************************
773 
774 
775 
776 
777 //=================================================================================================
778 //
779 // ISLOWER SPECIALIZATIONS
780 //
781 //=================================================================================================
782 
783 //*************************************************************************************************
785 template< typename MT1, typename MT2, bool SO >
786 struct IsLower< SMatDMatSubExpr<MT1,MT2,SO> >
787  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
788 {};
790 //*************************************************************************************************
791 
792 
793 
794 
795 //=================================================================================================
796 //
797 // ISUNILOWER SPECIALIZATIONS
798 //
799 //=================================================================================================
800 
801 //*************************************************************************************************
803 template< typename MT1, typename MT2, bool SO >
804 struct IsUniLower< SMatDMatSubExpr<MT1,MT2,SO> >
805  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
806 {};
808 //*************************************************************************************************
809 
810 
811 
812 
813 //=================================================================================================
814 //
815 // ISSTRICTLYLOWER SPECIALIZATIONS
816 //
817 //=================================================================================================
818 
819 //*************************************************************************************************
821 template< typename MT1, typename MT2, bool SO >
822 struct IsStrictlyLower< SMatDMatSubExpr<MT1,MT2,SO> >
823  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
824 {};
826 //*************************************************************************************************
827 
828 
829 
830 
831 //=================================================================================================
832 //
833 // ISUPPER SPECIALIZATIONS
834 //
835 //=================================================================================================
836 
837 //*************************************************************************************************
839 template< typename MT1, typename MT2, bool SO >
840 struct IsUpper< SMatDMatSubExpr<MT1,MT2,SO> >
841  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
842 {};
844 //*************************************************************************************************
845 
846 
847 
848 
849 //=================================================================================================
850 //
851 // ISUNIUPPER SPECIALIZATIONS
852 //
853 //=================================================================================================
854 
855 //*************************************************************************************************
857 template< typename MT1, typename MT2, bool SO >
858 struct IsUniUpper< SMatDMatSubExpr<MT1,MT2,SO> >
859  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
860 {};
862 //*************************************************************************************************
863 
864 
865 
866 
867 //=================================================================================================
868 //
869 // ISSTRICTLYUPPER SPECIALIZATIONS
870 //
871 //=================================================================================================
872 
873 //*************************************************************************************************
875 template< typename MT1, typename MT2, bool SO >
876 struct IsStrictlyUpper< SMatDMatSubExpr<MT1,MT2,SO> >
877  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
878 {};
880 //*************************************************************************************************
881 
882 
883 
884 
885 //=================================================================================================
886 //
887 // EXPRESSION TRAIT SPECIALIZATIONS
888 //
889 //=================================================================================================
890 
891 //*************************************************************************************************
893 template< typename MT1, typename MT2, typename MT3 >
894 struct DMatDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
895 {
896  public:
897  //**********************************************************************************************
899  using Type = If_< And< IsSparseMatrix<MT1>, IsRowMajorMatrix<MT1>
900  , IsDenseMatrix<MT2>, IsRowMajorMatrix<MT2>
901  , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
902  , DMatSMatAddExprTrait_< DMatDMatSubExprTrait_<MT3,MT2>, MT1 >
903  , INVALID_TYPE >;
905  //**********************************************************************************************
906 };
908 //*************************************************************************************************
909 
910 
911 //*************************************************************************************************
913 template< typename MT1, typename MT2, typename MT3 >
914 struct DMatTDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
915 {
916  public:
917  //**********************************************************************************************
919  using Type = If_< And< IsSparseMatrix<MT1>, IsRowMajorMatrix<MT1>
920  , IsDenseMatrix<MT2>, IsRowMajorMatrix<MT2>
921  , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
922  , DMatSMatAddExprTrait_< TDMatDMatSubExprTrait_<MT3,MT2>, MT1 >
923  , INVALID_TYPE >;
925  //**********************************************************************************************
926 };
928 //*************************************************************************************************
929 
930 
931 //*************************************************************************************************
933 template< typename MT1, typename MT2, typename MT3 >
934 struct TDMatDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
935 {
936  public:
937  //**********************************************************************************************
939  using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
940  , IsDenseMatrix<MT2>, IsColumnMajorMatrix<MT2>
941  , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
942  , DMatTSMatAddExprTrait_< DMatTDMatSubExprTrait_<MT3,MT2>, MT1 >
943  , INVALID_TYPE >;
945  //**********************************************************************************************
946 };
948 //*************************************************************************************************
949 
950 
951 //*************************************************************************************************
953 template< typename MT1, typename MT2, typename MT3 >
954 struct TDMatTDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
955 {
956  public:
957  //**********************************************************************************************
959  using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
960  , IsDenseMatrix<MT2>, IsColumnMajorMatrix<MT2>
961  , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
962  , TDMatTSMatAddExprTrait_< TDMatTDMatSubExprTrait_<MT3,MT2>, MT1 >
963  , INVALID_TYPE >;
965  //**********************************************************************************************
966 };
968 //*************************************************************************************************
969 
970 
971 //*************************************************************************************************
973 template< typename MT1, typename MT2, typename MT3 >
974 struct DMatDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
975 {
976  public:
977  //**********************************************************************************************
979  using Type = If_< And< IsSparseMatrix<MT1>, IsRowMajorMatrix<MT1>
980  , IsDenseMatrix<MT2>, IsRowMajorMatrix<MT2>
981  , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
982  , SMatDMatSubExprTrait_< MT1, DMatDMatAddExprTrait_<MT2,MT3> >
983  , INVALID_TYPE >;
985  //**********************************************************************************************
986 };
988 //*************************************************************************************************
989 
990 
991 //*************************************************************************************************
993 template< typename MT1, typename MT2, typename MT3 >
994 struct DMatTDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
995 {
996  public:
997  //**********************************************************************************************
999  using Type = If_< And< IsSparseMatrix<MT1>, IsRowMajorMatrix<MT1>
1000  , IsDenseMatrix<MT2>, IsRowMajorMatrix<MT2>
1001  , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
1002  , SMatDMatSubExprTrait_< MT1, DMatTDMatAddExprTrait_<MT2,MT3> >
1003  , INVALID_TYPE >;
1005  //**********************************************************************************************
1006 };
1008 //*************************************************************************************************
1009 
1010 
1011 //*************************************************************************************************
1013 template< typename MT1, typename MT2, typename MT3 >
1014 struct TDMatDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
1015 {
1016  public:
1017  //**********************************************************************************************
1019  using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
1020  , IsDenseMatrix<MT2>, IsColumnMajorMatrix<MT2>
1021  , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
1022  , TSMatDMatSubExprTrait_< MT1, TDMatDMatAddExprTrait_<MT2,MT3> >
1023  , INVALID_TYPE >;
1025  //**********************************************************************************************
1026 };
1028 //*************************************************************************************************
1029 
1030 
1031 //*************************************************************************************************
1033 template< typename MT1, typename MT2, typename MT3 >
1034 struct TDMatTDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
1035 {
1036  public:
1037  //**********************************************************************************************
1039  using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
1040  , IsDenseMatrix<MT2>, IsColumnMajorMatrix<MT2>
1041  , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
1042  , TSMatTDMatSubExprTrait_< MT1, TDMatTDMatAddExprTrait_<MT2,MT3> >
1043  , INVALID_TYPE >;
1045  //**********************************************************************************************
1046 };
1048 //*************************************************************************************************
1049 
1050 
1051 //*************************************************************************************************
1053 template< typename MT1, typename MT2, bool SO, bool AF >
1054 struct SubmatrixExprTrait< SMatDMatSubExpr<MT1,MT2,SO>, AF >
1055 {
1056  public:
1057  //**********************************************************************************************
1058  using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1059  , SubmatrixExprTrait_<const MT2,AF> >;
1060  //**********************************************************************************************
1061 };
1063 //*************************************************************************************************
1064 
1065 
1066 //*************************************************************************************************
1068 template< typename MT1, typename MT2, bool SO >
1069 struct RowExprTrait< SMatDMatSubExpr<MT1,MT2,SO> >
1070 {
1071  public:
1072  //**********************************************************************************************
1073  using Type = SubExprTrait_< RowExprTrait_<const MT1>
1074  , RowExprTrait_<const MT2> >;
1075  //**********************************************************************************************
1076 };
1078 //*************************************************************************************************
1079 
1080 
1081 //*************************************************************************************************
1083 template< typename MT1, typename MT2, bool SO >
1084 struct ColumnExprTrait< SMatDMatSubExpr<MT1,MT2,SO> >
1085 {
1086  public:
1087  //**********************************************************************************************
1088  using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1089  , ColumnExprTrait_<const MT2> >;
1090  //**********************************************************************************************
1091 };
1093 //*************************************************************************************************
1094 
1095 } // namespace blaze
1096 
1097 #endif
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDMatSubExpr.h:196
Header file for auxiliary alias declarations.
Header file for the Max class template.
SMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatDMatSubExpr class.
Definition: SMatDMatSubExpr.h:180
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDMatSubExpr.h:269
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatDMatSubExpr.h:128
Header file for the IsUniUpper type trait.
Header file for the subtraction trait.
Header file for basic type definitions.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:160
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:163
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatDMatSubExpr.h:154
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatDMatSubExpr.h:247
EnableIf_< IsDenseMatrix< MT1 > > 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 IsSparseMatrix type trait.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDMatSubExpr.h:227
Header file for the serial shim.
#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:63
#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:61
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
Header file for the And class template.
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:289
Header file for the AddExprTrait class template.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:290
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
Header file for the Computation base class.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
EnableIf_< IsDenseMatrix< MT1 > > 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
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:109
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:112
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDMatSubExpr.h:150
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
Constraint on the data type.
Constraint on the data type.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatDMatSubExpr.h:151
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Expression object for sparse matrix-dense matrix subtractions.The SMatDMatSubExpr class represents th...
Definition: Forward.h:91
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatDMatSubExpr.h:148
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
Header file for the If class template.
EnableIf_< IsDenseMatrix< MT1 > > 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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDMatSubExpr.h:237
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: SMatDMatSubExpr.h:257
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:114
#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:60
Constraints on the storage order of matrix types.
Header file for the exception macros of the math module.
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.
Header file for the SubmatrixExprTrait class template.
Header file for run time assertion macros.
Utility type for generic codes.
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDMatSubExpr.h:282
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
#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:84
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:115
SMatDMatSubExpr< MT1, MT2, SO > This
Type of this SMatDMatSubExpr instance.
Definition: SMatDMatSubExpr.h:147
Header file for the IsRowMajorMatrix type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDMatSubExpr.h:149
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatDMatSubExpr.h:157
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
#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
Header file for the IntegralConstant class template.
#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:109
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
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
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:113
#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:61
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
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:211