TSMatDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
50 #include <blaze/math/Exception.h>
78 #include <blaze/util/Assert.h>
80 #include <blaze/util/EnableIf.h>
82 #include <blaze/util/InvalidType.h>
84 #include <blaze/util/mpl/And.h>
85 #include <blaze/util/mpl/If.h>
86 #include <blaze/util/mpl/Max.h>
87 #include <blaze/util/Types.h>
88 
89 
90 namespace blaze {
91 
92 //=================================================================================================
93 //
94 // CLASS SMATTDMATSUBEXPR
95 //
96 //=================================================================================================
97 
98 //*************************************************************************************************
105 template< typename MT1 // Type of the left-hand side sparse matrix
106  , typename MT2 > // Type of the right-hand side dense matrix
107 class TSMatDMatSubExpr : public DenseMatrix< TSMatDMatSubExpr<MT1,MT2>, false >
108  , private MatMatSubExpr
109  , private Computation
110 {
111  private:
112  //**Type definitions****************************************************************************
117  //**********************************************************************************************
118 
119  //**Return type evaluation**********************************************************************
121 
126  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
127 
130  //**********************************************************************************************
131 
132  //**Parallel evaluation strategy****************************************************************
134 
139  template< typename MT >
140  struct UseSMPAssign {
141  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
142  };
144  //**********************************************************************************************
145 
146  public:
147  //**Type definitions****************************************************************************
153 
156 
158  typedef const ResultType CompositeType;
159 
161  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
162 
164  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
165  //**********************************************************************************************
166 
167  //**Compilation flags***************************************************************************
169  enum : bool { simdEnabled = false };
170 
172  enum : bool { smpAssignable = false };
173  //**********************************************************************************************
174 
175  //**Constructor*********************************************************************************
181  explicit inline TSMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
182  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
183  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
184  {
185  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
186  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
187  }
188  //**********************************************************************************************
189 
190  //**Access operator*****************************************************************************
197  inline ReturnType operator()( size_t i, size_t j ) const {
198  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
199  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
200  return lhs_(i,j) - rhs_(i,j);
201  }
202  //**********************************************************************************************
203 
204  //**At function*********************************************************************************
212  inline ReturnType at( size_t i, size_t j ) const {
213  if( i >= lhs_.rows() ) {
214  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
215  }
216  if( j >= lhs_.columns() ) {
217  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
218  }
219  return (*this)(i,j);
220  }
221  //**********************************************************************************************
222 
223  //**Rows function*******************************************************************************
228  inline size_t rows() const noexcept {
229  return lhs_.rows();
230  }
231  //**********************************************************************************************
232 
233  //**Columns function****************************************************************************
238  inline size_t columns() const noexcept {
239  return lhs_.columns();
240  }
241  //**********************************************************************************************
242 
243  //**Left operand access*************************************************************************
248  inline LeftOperand leftOperand() const noexcept {
249  return lhs_;
250  }
251  //**********************************************************************************************
252 
253  //**Right operand access************************************************************************
258  inline RightOperand rightOperand() const noexcept {
259  return rhs_;
260  }
261  //**********************************************************************************************
262 
263  //**********************************************************************************************
269  template< typename T >
270  inline bool canAlias( const T* alias ) const noexcept {
271  return ( lhs_.canAlias( alias ) ) ||
272  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
273  }
274  //**********************************************************************************************
275 
276  //**********************************************************************************************
282  template< typename T >
283  inline bool isAliased( const T* alias ) const noexcept {
284  return lhs_.isAliased( alias ) || rhs_.isAliased( alias );
285  }
286  //**********************************************************************************************
287 
288  private:
289  //**Member variables****************************************************************************
290  LeftOperand lhs_;
291  RightOperand rhs_;
292  //**********************************************************************************************
293 
294  //**Assignment to dense matrices****************************************************************
306  template< typename MT // Type of the target dense matrix
307  , bool SO2 > // Storage order of the target dense matrix
308  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
309  {
311 
312  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
313  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
314 
315  assign ( ~lhs, -rhs.rhs_ );
316  addAssign( ~lhs, rhs.lhs_ );
317  }
319  //**********************************************************************************************
320 
321  //**Assignment to sparse matrices***************************************************************
333  template< typename MT // Type of the target sparse matrix
334  , bool SO2 > // Storage order of the target sparse matrix
335  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
336  {
338 
340 
347 
348  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
349  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
350 
351  const TmpType tmp( serial( rhs ) );
352  assign( ~lhs, tmp );
353  }
355  //**********************************************************************************************
356 
357  //**Addition assignment to dense matrices*******************************************************
370  template< typename MT // Type of the target dense matrix
371  , bool SO2 > // Storage order of the target dense matrix
372  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
373  {
375 
376  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
377  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
378 
379  subAssign( ~lhs, rhs.rhs_ );
380  addAssign( ~lhs, rhs.lhs_ );
381  }
383  //**********************************************************************************************
384 
385  //**Addition assignment to sparse matrices******************************************************
386  // No special implementation for the addition assignment to sparse matrices.
387  //**********************************************************************************************
388 
389  //**Subtraction assignment to dense matrices****************************************************
402  template< typename MT // Type of the target dense matrix
403  , bool SO2 > // Storage order of the target dense matrix
404  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
405  {
407 
408  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
409  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
410 
411  addAssign( ~lhs, rhs.rhs_ );
412  subAssign( ~lhs, rhs.lhs_ );
413  }
415  //**********************************************************************************************
416 
417  //**Subtraction assignment to sparse matrices***************************************************
418  // No special implementation for the subtraction assignment to sparse matrices.
419  //**********************************************************************************************
420 
421  //**Multiplication assignment to dense matrices*************************************************
422  // No special implementation for the multiplication assignment to dense matrices.
423  //**********************************************************************************************
424 
425  //**Multiplication assignment to sparse matrices************************************************
426  // No special implementation for the multiplication assignment to sparse matrices.
427  //**********************************************************************************************
428 
429  //**SMP assignment to dense matrices************************************************************
443  template< typename MT // Type of the target dense matrix
444  , bool SO2 > // Storage order of the target dense matrix
445  friend inline EnableIf_< UseSMPAssign<MT> >
446  smpAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
447  {
449 
450  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
451  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
452 
453  smpAssign ( ~lhs, -rhs.rhs_ );
454  smpAddAssign( ~lhs, rhs.lhs_ );
455  }
457  //**********************************************************************************************
458 
459  //**SMP assignment to sparse matrices***********************************************************
473  template< typename MT // Type of the target sparse matrix
474  , bool SO2 > // Storage order of the target sparse matrix
475  friend inline EnableIf_< UseSMPAssign<MT> >
476  smpAssign( SparseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
477  {
479 
480  typedef IfTrue_< SO2, OppositeType, ResultType > TmpType;
481 
487  BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE( CompositeType_<TmpType> );
488 
489  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
490  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
491 
492  const TmpType tmp( rhs );
493  smpAssign( ~lhs, tmp );
494  }
496  //**********************************************************************************************
497 
498  //**SMP addition assignment to dense matrices***************************************************
513  template< typename MT // Type of the target dense matrix
514  , bool SO2 > // Storage order of the target dense matrix
515  friend inline EnableIf_< UseSMPAssign<MT> >
516  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
517  {
519 
520  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
521  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
522 
523  smpSubAssign( ~lhs, rhs.rhs_ );
524  smpAddAssign( ~lhs, rhs.lhs_ );
525  }
527  //**********************************************************************************************
528 
529  //**SMP addition assignment to sparse matrices**************************************************
530  // No special implementation for the SMP addition assignment to sparse matrices.
531  //**********************************************************************************************
532 
533  //**SMP subtraction assignment to dense matrices************************************************
548  template< typename MT // Type of the target dense matrix
549  , bool SO2 > // Storage order of the target dense matrix
550  friend inline EnableIf_< UseSMPAssign<MT> >
551  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
552  {
554 
555  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
556  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
557 
558  smpAddAssign( ~lhs, rhs.rhs_ );
559  smpSubAssign( ~lhs, rhs.lhs_ );
560  }
562  //**********************************************************************************************
563 
564  //**SMP subtraction assignment to sparse matrices***********************************************
565  // No special implementation for the SMP subtraction assignment to sparse matrices.
566  //**********************************************************************************************
567 
568  //**SMP multiplication assignment to dense matrices*********************************************
569  // No special implementation for the SMP multiplication assignment to dense matrices.
570  //**********************************************************************************************
571 
572  //**SMP multiplication assignment to sparse matrices********************************************
573  // No special implementation for the SMP multiplication assignment to sparse matrices.
574  //**********************************************************************************************
575 
576  //**Compile time checks*************************************************************************
584  //**********************************************************************************************
585 };
586 //*************************************************************************************************
587 
588 
589 
590 
591 //=================================================================================================
592 //
593 // GLOBAL BINARY ARITHMETIC OPERATORS
594 //
595 //=================================================================================================
596 
597 //*************************************************************************************************
627 template< typename T1 // Type of the left-hand side sparse matrix
628  , typename T2 > // Type of the right-hand side dense matrix
629 inline const TSMatDMatSubExpr<T1,T2>
631 {
633 
634  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
635  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
636  }
637 
638  return TSMatDMatSubExpr<T1,T2>( ~lhs, ~rhs );
639 }
640 //*************************************************************************************************
641 
642 
643 
644 
645 //=================================================================================================
646 //
647 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
648 //
649 //=================================================================================================
650 
651 //*************************************************************************************************
664 template< typename T1 // Type of the sparse matrix of the left-hand side expression
665  , typename T2 // Type of the dense matrix of the left-hand side expression
666  , typename T3 // Type of the right-hand side dense matrix
667  , bool SO > // Storage order of the right-hand side dense matrix
668 inline const AddExprTrait_< TSMatDMatSubExpr<T1,T2>, T3 >
669  operator+( const TSMatDMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
670 {
672 
673  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
674 }
676 //*************************************************************************************************
677 
678 
679 //*************************************************************************************************
692 template< typename T1 // Type of the sparse matrix of the left-hand side expression
693  , typename T2 // Type of the dense matrix of the left-hand side expression
694  , typename T3 // Type of the right-hand side dense matrix
695  , bool SO > // Storage order of the right-hand side dense matrix
696 inline const SubExprTrait_< TSMatDMatSubExpr<T1,T2>, T3 >
697  operator-( const TSMatDMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
698 {
700 
701  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
702 }
704 //*************************************************************************************************
705 
706 
707 
708 
709 //=================================================================================================
710 //
711 // ROWS SPECIALIZATIONS
712 //
713 //=================================================================================================
714 
715 //*************************************************************************************************
717 template< typename MT1, typename MT2 >
718 struct Rows< TSMatDMatSubExpr<MT1,MT2> >
719  : public Max< Rows<MT1>, Rows<MT2> >
720 {};
722 //*************************************************************************************************
723 
724 
725 
726 
727 //=================================================================================================
728 //
729 // COLUMNS SPECIALIZATIONS
730 //
731 //=================================================================================================
732 
733 //*************************************************************************************************
735 template< typename MT1, typename MT2 >
736 struct Columns< TSMatDMatSubExpr<MT1,MT2> >
737  : public Max< Columns<MT1>, Columns<MT2> >
738 {};
740 //*************************************************************************************************
741 
742 
743 
744 
745 //=================================================================================================
746 //
747 // ISSYMMETRIC SPECIALIZATIONS
748 //
749 //=================================================================================================
750 
751 //*************************************************************************************************
753 template< typename MT1, typename MT2 >
754 struct IsSymmetric< TSMatDMatSubExpr<MT1,MT2> >
755  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
756 {};
758 //*************************************************************************************************
759 
760 
761 
762 
763 //=================================================================================================
764 //
765 // ISHERMITIAN SPECIALIZATIONS
766 //
767 //=================================================================================================
768 
769 //*************************************************************************************************
771 template< typename MT1, typename MT2 >
772 struct IsHermitian< TSMatDMatSubExpr<MT1,MT2> >
773  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
774 {};
776 //*************************************************************************************************
777 
778 
779 
780 
781 //=================================================================================================
782 //
783 // ISLOWER SPECIALIZATIONS
784 //
785 //=================================================================================================
786 
787 //*************************************************************************************************
789 template< typename MT1, typename MT2 >
790 struct IsLower< TSMatDMatSubExpr<MT1,MT2> >
791  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
792 {};
794 //*************************************************************************************************
795 
796 
797 
798 
799 //=================================================================================================
800 //
801 // ISUNILOWER SPECIALIZATIONS
802 //
803 //=================================================================================================
804 
805 //*************************************************************************************************
807 template< typename MT1, typename MT2 >
808 struct IsUniLower< TSMatDMatSubExpr<MT1,MT2> >
809  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
810 {};
812 //*************************************************************************************************
813 
814 
815 
816 
817 //=================================================================================================
818 //
819 // ISSTRICTLYLOWER SPECIALIZATIONS
820 //
821 //=================================================================================================
822 
823 //*************************************************************************************************
825 template< typename MT1, typename MT2 >
826 struct IsStrictlyLower< TSMatDMatSubExpr<MT1,MT2> >
827  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
828 {};
830 //*************************************************************************************************
831 
832 
833 
834 
835 //=================================================================================================
836 //
837 // ISUPPER SPECIALIZATIONS
838 //
839 //=================================================================================================
840 
841 //*************************************************************************************************
843 template< typename MT1, typename MT2 >
844 struct IsUpper< TSMatDMatSubExpr<MT1,MT2> >
845  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
846 {};
848 //*************************************************************************************************
849 
850 
851 
852 
853 //=================================================================================================
854 //
855 // ISUNIUPPER SPECIALIZATIONS
856 //
857 //=================================================================================================
858 
859 //*************************************************************************************************
861 template< typename MT1, typename MT2 >
862 struct IsUniUpper< TSMatDMatSubExpr<MT1,MT2> >
863  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
864 {};
866 //*************************************************************************************************
867 
868 
869 
870 
871 //=================================================================================================
872 //
873 // ISSTRICTLYUPPER SPECIALIZATIONS
874 //
875 //=================================================================================================
876 
877 //*************************************************************************************************
879 template< typename MT1, typename MT2 >
880 struct IsStrictlyUpper< TSMatDMatSubExpr<MT1,MT2> >
881  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
882 {};
884 //*************************************************************************************************
885 
886 
887 
888 
889 //=================================================================================================
890 //
891 // EXPRESSION TRAIT SPECIALIZATIONS
892 //
893 //=================================================================================================
894 
895 //*************************************************************************************************
897 template< typename MT1, typename MT2, typename MT3 >
898 struct DMatDMatAddExprTrait< TSMatDMatSubExpr<MT1,MT2>, MT3 >
899 {
900  public:
901  //**********************************************************************************************
903  using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
904  , IsDenseMatrix<MT2>, IsRowMajorMatrix<MT2>
905  , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
906  , DMatTSMatAddExprTrait_< DMatDMatSubExprTrait_<MT3,MT2>, MT1 >
907  , INVALID_TYPE >;
909  //**********************************************************************************************
910 };
912 //*************************************************************************************************
913 
914 
915 //*************************************************************************************************
917 template< typename MT1, typename MT2, typename MT3 >
918 struct DMatTDMatAddExprTrait< TSMatDMatSubExpr<MT1,MT2>, MT3 >
919 {
920  public:
921  //**********************************************************************************************
923  using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
924  , IsDenseMatrix<MT2>, IsRowMajorMatrix<MT2>
925  , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
926  , DMatTSMatAddExprTrait_< TDMatDMatSubExprTrait_<MT3,MT2>, MT1 >
927  , INVALID_TYPE >;
929  //**********************************************************************************************
930 };
932 //*************************************************************************************************
933 
934 
935 //*************************************************************************************************
937 template< typename MT1, typename MT2, typename MT3 >
938 struct DMatDMatSubExprTrait< TSMatDMatSubExpr<MT1,MT2>, MT3 >
939 {
940  public:
941  //**********************************************************************************************
943  using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
944  , IsDenseMatrix<MT2>, IsRowMajorMatrix<MT2>
945  , IsDenseMatrix<MT3>, IsRowMajorMatrix<MT3> >
946  , TSMatDMatSubExprTrait_< MT1, DMatDMatAddExprTrait_<MT2,MT3> >
947  , INVALID_TYPE >;
949  //**********************************************************************************************
950 };
952 //*************************************************************************************************
953 
954 
955 //*************************************************************************************************
957 template< typename MT1, typename MT2, typename MT3 >
958 struct DMatTDMatSubExprTrait< TSMatDMatSubExpr<MT1,MT2>, MT3 >
959 {
960  public:
961  //**********************************************************************************************
963  using Type = If_< And< IsSparseMatrix<MT1>, IsColumnMajorMatrix<MT1>
964  , IsDenseMatrix<MT2>, IsRowMajorMatrix<MT2>
965  , IsDenseMatrix<MT3>, IsColumnMajorMatrix<MT3> >
966  , TSMatDMatSubExprTrait_< MT1, DMatTDMatAddExprTrait_<MT2,MT3> >
967  , INVALID_TYPE >;
969  //**********************************************************************************************
970 };
972 //*************************************************************************************************
973 
974 
975 //*************************************************************************************************
977 template< typename MT1, typename MT2, bool AF >
978 struct SubmatrixExprTrait< TSMatDMatSubExpr<MT1,MT2>, AF >
979 {
980  public:
981  //**********************************************************************************************
982  using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
983  , SubmatrixExprTrait_<const MT2,AF> >;
984  //**********************************************************************************************
985 };
987 //*************************************************************************************************
988 
989 
990 //*************************************************************************************************
992 template< typename MT1, typename MT2 >
993 struct RowExprTrait< TSMatDMatSubExpr<MT1,MT2> >
994 {
995  public:
996  //**********************************************************************************************
997  using Type = SubExprTrait_< RowExprTrait_<const MT1>
998  , RowExprTrait_<const MT2> >;
999  //**********************************************************************************************
1000 };
1002 //*************************************************************************************************
1003 
1004 
1005 //*************************************************************************************************
1007 template< typename MT1, typename MT2 >
1008 struct ColumnExprTrait< TSMatDMatSubExpr<MT1,MT2> >
1009 {
1010  public:
1011  //**********************************************************************************************
1012  using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1013  , ColumnExprTrait_<const MT2> >;
1014  //**********************************************************************************************
1015 };
1017 //*************************************************************************************************
1018 
1019 } // namespace blaze
1020 
1021 #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
Header file for auxiliary alias declarations.
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:70
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:115
Header file for the Rows type trait.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDMatSubExpr.h:248
Header file for the IsUniUpper type trait.
Header file for the subtraction trait.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatDMatSubExpr.h:152
Header file for basic type definitions.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatDMatSubExpr.h:129
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TSMatDMatSubExpr.h:238
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.
Header file for the serial shim.
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:116
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDMatSubExpr.h:283
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:723
Header file for the Computation base class.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:161
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
Constraints on the storage order of matrix types.
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
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.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:155
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.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatDMatSubExpr.h:212
#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
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 operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatDMatSubExpr.h:197
#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.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:114
Header file for the exception macros of the math module.
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:113
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.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:291
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:290
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:151
TSMatDMatSubExpr< MT1, MT2 > This
Type of this TSMatDMatSubExpr instance.
Definition: TSMatDMatSubExpr.h:148
Header file for the SubmatrixExprTrait class template.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
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
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: TSMatDMatSubExpr.h:258
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:164
Expression object for transpose sparse matrix-dense matrix subtractions.The TSMatDMatSubExpr class re...
Definition: Forward.h:141
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TSMatDMatSubExpr.h:228
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatDMatSubExpr.h:158
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatDMatSubExpr.h:150
Constraints on the storage order of matrix types.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatDMatSubExpr.h:270
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
Header file for the IsRowMajorMatrix type trait.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:149
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
#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
TSMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TSMatDMatSubExpr class.
Definition: TSMatDMatSubExpr.h:181
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.