SMatTDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
76 #include <blaze/util/Assert.h>
78 #include <blaze/util/EnableIf.h>
79 #include <blaze/util/Exception.h>
80 #include <blaze/util/InvalidType.h>
82 #include <blaze/util/mpl/And.h>
83 #include <blaze/util/mpl/Max.h>
84 #include <blaze/util/SelectType.h>
85 #include <blaze/util/Types.h>
87 
88 
89 namespace blaze {
90 
91 //=================================================================================================
92 //
93 // CLASS SMATTDMATSUBEXPR
94 //
95 //=================================================================================================
96 
97 //*************************************************************************************************
104 template< typename MT1 // Type of the left-hand side sparse matrix
105  , typename MT2 > // Type of the right-hand side dense matrix
106 class SMatTDMatSubExpr : public DenseMatrix< SMatTDMatSubExpr<MT1,MT2>, true >
107  , private MatMatSubExpr
108  , private Computation
109 {
110  private:
111  //**Type definitions****************************************************************************
112  typedef typename MT1::ResultType RT1;
113  typedef typename MT2::ResultType RT2;
114  typedef typename MT1::ReturnType RN1;
115  typedef typename MT2::ReturnType RN2;
116  //**********************************************************************************************
117 
118  //**Return type evaluation**********************************************************************
120 
125  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
126 
129  //**********************************************************************************************
130 
131  //**Parallel evaluation strategy****************************************************************
133 
138  template< typename MT >
139  struct UseSMPAssign {
140  enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
141  };
143  //**********************************************************************************************
144 
145  public:
146  //**Type definitions****************************************************************************
152 
155 
157  typedef const ResultType CompositeType;
158 
160  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
161 
163  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
164  //**********************************************************************************************
165 
166  //**Compilation flags***************************************************************************
168  enum { vectorizable = 0 };
169 
171  enum { smpAssignable = 0 };
172  //**********************************************************************************************
173 
174  //**Constructor*********************************************************************************
180  explicit inline SMatTDMatSubExpr( const MT1& lhs, const MT2& rhs )
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 {
228  return lhs_.rows();
229  }
230  //**********************************************************************************************
231 
232  //**Columns function****************************************************************************
237  inline size_t columns() const {
238  return lhs_.columns();
239  }
240  //**********************************************************************************************
241 
242  //**Left operand access*************************************************************************
247  inline LeftOperand leftOperand() const {
248  return lhs_;
249  }
250  //**********************************************************************************************
251 
252  //**Right operand access************************************************************************
257  inline RightOperand rightOperand() const {
258  return rhs_;
259  }
260  //**********************************************************************************************
261 
262  //**********************************************************************************************
268  template< typename T >
269  inline bool canAlias( const T* alias ) const {
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 {
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 SMatTDMatSubExpr& 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 SMatTDMatSubExpr& rhs )
335  {
337 
338  typedef typename SelectType< SO2, ResultType, OppositeType >::Type TmpType;
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*******************************************************
369  template< typename MT // Type of the target dense matrix
370  , bool SO2 > // Storage order of the target dense matrix
371  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
372  {
374 
375  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
376  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
377 
378  subAssign( ~lhs, rhs.rhs_ );
379  addAssign( ~lhs, rhs.lhs_ );
380  }
382  //**********************************************************************************************
383 
384  //**Addition assignment to sparse matrices******************************************************
385  // No special implementation for the addition assignment to sparse matrices.
386  //**********************************************************************************************
387 
388  //**Subtraction assignment to dense matrices****************************************************
401  template< typename MT // Type of the target dense matrix
402  , bool SO2 > // Storage order of the target dense matrix
403  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
404  {
406 
407  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
408  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
409 
410  addAssign( ~lhs, rhs.rhs_ );
411  subAssign( ~lhs, rhs.lhs_ );
412  }
414  //**********************************************************************************************
415 
416  //**Subtraction assignment to sparse matrices***************************************************
417  // No special implementation for the subtraction assignment to sparse matrices.
418  //**********************************************************************************************
419 
420  //**Multiplication assignment to dense matrices*************************************************
421  // No special implementation for the multiplication assignment to dense matrices.
422  //**********************************************************************************************
423 
424  //**Multiplication assignment to sparse matrices************************************************
425  // No special implementation for the multiplication assignment to sparse matrices.
426  //**********************************************************************************************
427 
428  //**SMP assignment to dense matrices************************************************************
442  template< typename MT // Type of the target dense matrix
443  , bool SO2 > // Storage order of the target dense matrix
444  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
445  smpAssign( DenseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
446  {
448 
449  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
450  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
451 
452  smpAssign ( ~lhs, -rhs.rhs_ );
453  smpAddAssign( ~lhs, rhs.lhs_ );
454  }
456  //**********************************************************************************************
457 
458  //**SMP assignment to sparse matrices***********************************************************
472  template< typename MT // Type of the target sparse matrix
473  , bool SO2 > // Storage order of the target sparse matrix
474  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
475  smpAssign( SparseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
476  {
478 
479  typedef typename SelectType< SO2, ResultType, OppositeType >::Type TmpType;
480 
487 
488  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
489  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
490 
491  const TmpType tmp( rhs );
492  smpAssign( ~lhs, tmp );
493  }
495  //**********************************************************************************************
496 
497  //**SMP addition assignment to dense matrices***************************************************
512  template< typename MT // Type of the target dense matrix
513  , bool SO2 > // Storage order of the target dense matrix
514  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
515  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
516  {
518 
519  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
520  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
521 
522  smpSubAssign( ~lhs, rhs.rhs_ );
523  smpAddAssign( ~lhs, rhs.lhs_ );
524  }
526  //**********************************************************************************************
527 
528  //**SMP addition assignment to sparse matrices**************************************************
529  // No special implementation for the SMP addition assignment to sparse matrices.
530  //**********************************************************************************************
531 
532  //**SMP subtraction assignment to dense matrices************************************************
547  template< typename MT // Type of the target dense matrix
548  , bool SO2 > // Storage order of the target dense matrix
549  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
550  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const SMatTDMatSubExpr& rhs )
551  {
553 
554  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
555  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
556 
557  smpAddAssign( ~lhs, rhs.rhs_ );
558  smpSubAssign( ~lhs, rhs.lhs_ );
559  }
561  //**********************************************************************************************
562 
563  //**SMP subtraction assignment to sparse matrices***********************************************
564  // No special implementation for the SMP subtraction assignment to sparse matrices.
565  //**********************************************************************************************
566 
567  //**SMP multiplication assignment to dense matrices*********************************************
568  // No special implementation for the SMP multiplication assignment to dense matrices.
569  //**********************************************************************************************
570 
571  //**SMP multiplication assignment to sparse matrices********************************************
572  // No special implementation for the SMP multiplication assignment to sparse matrices.
573  //**********************************************************************************************
574 
575  //**Compile time checks*************************************************************************
583  //**********************************************************************************************
584 };
585 //*************************************************************************************************
586 
587 
588 
589 
590 //=================================================================================================
591 //
592 // GLOBAL BINARY ARITHMETIC OPERATORS
593 //
594 //=================================================================================================
595 
596 //*************************************************************************************************
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 SMatTDMatSubExpr<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 SMatTDMatSubExpr<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 typename AddExprTrait< SMatTDMatSubExpr<T1,T2>, T3 >::Type
669  operator+( const SMatTDMatSubExpr<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 typename SubExprTrait< SMatTDMatSubExpr<T1,T2>, T3 >::Type
697  operator-( const SMatTDMatSubExpr<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< SMatTDMatSubExpr<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< SMatTDMatSubExpr<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< SMatTDMatSubExpr<MT1,MT2> >
755  : public IsTrue< 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< SMatTDMatSubExpr<MT1,MT2> >
773  : public IsTrue< 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< SMatTDMatSubExpr<MT1,MT2> >
791  : public IsTrue< 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< SMatTDMatSubExpr<MT1,MT2> >
809  : public IsTrue< 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< SMatTDMatSubExpr<MT1,MT2> >
827  : public IsTrue< 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< SMatTDMatSubExpr<MT1,MT2> >
845  : public IsTrue< 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< SMatTDMatSubExpr<MT1,MT2> >
863  : public IsTrue< 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< SMatTDMatSubExpr<MT1,MT2> >
881  : public IsTrue< 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< SMatTDMatSubExpr<MT1,MT2>, MT3 >
899 {
900  public:
901  //**********************************************************************************************
903  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
904  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
905  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
906  , typename DMatSMatAddExprTrait< typename DMatTDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
907  , INVALID_TYPE >::Type Type;
909  //**********************************************************************************************
910 };
912 //*************************************************************************************************
913 
914 
915 //*************************************************************************************************
917 template< typename MT1, typename MT2, typename MT3 >
918 struct DMatTDMatAddExprTrait< SMatTDMatSubExpr<MT1,MT2>, MT3 >
919 {
920  public:
921  //**********************************************************************************************
923  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
924  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
925  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
926  , typename TDMatSMatAddExprTrait< typename TDMatTDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
927  , INVALID_TYPE >::Type Type;
929  //**********************************************************************************************
930 };
932 //*************************************************************************************************
933 
934 
935 //*************************************************************************************************
937 template< typename MT1, typename MT2, typename MT3 >
938 struct DMatDMatSubExprTrait< SMatTDMatSubExpr<MT1,MT2>, MT3 >
939 {
940  public:
941  //**********************************************************************************************
943  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
944  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
945  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
946  , typename SMatDMatSubExprTrait< MT1, typename TDMatDMatAddExprTrait<MT2,MT3>::Type >::Type
947  , INVALID_TYPE >::Type Type;
949  //**********************************************************************************************
950 };
952 //*************************************************************************************************
953 
954 
955 //*************************************************************************************************
957 template< typename MT1, typename MT2, typename MT3 >
958 struct DMatTDMatSubExprTrait< SMatTDMatSubExpr<MT1,MT2>, MT3 >
959 {
960  public:
961  //**********************************************************************************************
963  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
964  IsDenseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
965  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
966  , typename SMatTDMatSubExprTrait< MT1, typename TDMatTDMatAddExprTrait<MT2,MT3>::Type >::Type
967  , INVALID_TYPE >::Type Type;
969  //**********************************************************************************************
970 };
972 //*************************************************************************************************
973 
974 
975 //*************************************************************************************************
977 template< typename MT1, typename MT2, bool AF >
978 struct SubmatrixExprTrait< SMatTDMatSubExpr<MT1,MT2>, AF >
979 {
980  public:
981  //**********************************************************************************************
982  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
983  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
984  //**********************************************************************************************
985 };
987 //*************************************************************************************************
988 
989 
990 //*************************************************************************************************
992 template< typename MT1, typename MT2 >
993 struct RowExprTrait< SMatTDMatSubExpr<MT1,MT2> >
994 {
995  public:
996  //**********************************************************************************************
997  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
998  , typename RowExprTrait<const MT2>::Type >::Type Type;
999  //**********************************************************************************************
1000 };
1002 //*************************************************************************************************
1003 
1004 
1005 //*************************************************************************************************
1007 template< typename MT1, typename MT2 >
1008 struct ColumnExprTrait< SMatTDMatSubExpr<MT1,MT2> >
1009 {
1010  public:
1011  //**********************************************************************************************
1012  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1013  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
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 exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatTDMatSubExpr.h:148
Header file for the Max class template.
SMatTDMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatTDMatSubExpr class.
Definition: SMatTDMatSubExpr.h:180
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTDMatSubExpr.h:157
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.
RightOperand rightOperand() const
Returns the right-hand side transpose dense matrix operand.
Definition: SMatTDMatSubExpr.h:257
Header file for the IsSparseMatrix type trait.
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:79
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
Header file for the And class template.
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.
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatTDMatSubExpr.h:247
Constraints on the storage order of matrix types.
Header file for the IsUniLower type trait.
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatTDMatSubExpr.h:269
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.
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatTDMatSubExpr.h:289
Constraint on the data type.
Constraint on the data type.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTDMatSubExpr.h:196
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTDMatSubExpr.h:149
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.
Expression object for sparse matrix-transpose dense matrix subtractions.The SMatTDMatSubExpr class re...
Definition: Forward.h:111
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:79
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exceptionThis macro encapsulates the default way of Bla...
Definition: Exception.h:331
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:610
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
Header file for the MatMatSubExpr base class.
Header file for the IsLower type trait.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: SMatTDMatSubExpr.h:160
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
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatTDMatSubExpr.h:113
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:78
Constraints on the storage order of matrix types.
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:104
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.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTDMatSubExpr.h:163
Header file for the serial shim.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatTDMatSubExpr.h:150
MT2::ReturnType RN2
Return type of the right-hand side dense matrix expression.
Definition: SMatTDMatSubExpr.h:115
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: SMatTDMatSubExpr.h:290
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: SMatTDMatSubExpr.h:154
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.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:79
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2587
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatTDMatSubExpr.h:282
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
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatTDMatSubExpr.h:237
Utility type for generic codes.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatTDMatSubExpr.h:227
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatTDMatSubExpr.h:114
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTDMatSubExpr.h:112
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTDMatSubExpr.h:211
Constraints on the storage order of matrix types.
#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.
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatTDMatSubExpr.h:151
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
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: SMatTDMatSubExpr.h:128
#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.
#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
SMatTDMatSubExpr< MT1, MT2 > This
Type of this SMatTDMatSubExpr instance.
Definition: SMatTDMatSubExpr.h:147
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.