DMatTSMatSubExpr.h
Go to the documentation of this file.
1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATTSMATSUBEXPR_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 DMATTSMATSUBEXPR
94 //
95 //=================================================================================================
96 
97 //*************************************************************************************************
104 template< typename MT1 // Type of the left-hand side dense matrix
105  , typename MT2 > // Type of the right-hand side sparse matrix
106 class DMatTSMatSubExpr : public DenseMatrix< DMatTSMatSubExpr<MT1,MT2>, false >
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 DMatTSMatSubExpr( const MT1& lhs, const MT2& rhs )
181  : lhs_( lhs ) // Left-hand side dense matrix of the subtraction expression
182  , rhs_( rhs ) // Right-hand side sparse 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 ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
271  ( 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 DMatTSMatSubExpr& 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  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
315  subAssign( ~lhs, rhs.rhs_ );
316  }
317  else {
318  assign ( ~lhs, rhs.lhs_ );
319  subAssign( ~lhs, rhs.rhs_ );
320  }
321  }
323  //**********************************************************************************************
324 
325  //**Assignment to sparse matrices***************************************************************
337  template< typename MT // Type of the target sparse matrix
338  , bool SO2 > // Storage order of the target sparse matrix
339  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
340  {
342 
343  typedef typename SelectType< SO2, OppositeType, ResultType >::Type TmpType;
344 
351 
352  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
353  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
354 
355  const TmpType tmp( serial( rhs ) );
356  assign( ~lhs, tmp );
357  }
359  //**********************************************************************************************
360 
361  //**Addition assignment to dense matrices*******************************************************
374  template< typename MT // Type of the target dense matrix
375  , bool SO2 > // Storage order of the target dense matrix
376  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
377  {
379 
380  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
381  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
382 
383  addAssign( ~lhs, rhs.lhs_ );
384  subAssign( ~lhs, rhs.rhs_ );
385  }
387  //**********************************************************************************************
388 
389  //**Addition assignment to sparse matrices******************************************************
390  // No special implementation for the addition assignment to sparse matrices.
391  //**********************************************************************************************
392 
393  //**Subtraction assignment to dense matrices****************************************************
406  template< typename MT // Type of the target dense matrix
407  , bool SO2 > // Storage order of the target dense matrix
408  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
409  {
411 
412  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
413  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
414 
415  subAssign( ~lhs, rhs.lhs_ );
416  addAssign( ~lhs, rhs.rhs_ );
417  }
419  //**********************************************************************************************
420 
421  //**Subtraction assignment to sparse matrices***************************************************
422  // No special implementation for the subtraction assignment to sparse matrices.
423  //**********************************************************************************************
424 
425  //**Multiplication assignment to dense matrices*************************************************
426  // No special implementation for the multiplication assignment to dense matrices.
427  //**********************************************************************************************
428 
429  //**Multiplication assignment to sparse matrices************************************************
430  // No special implementation for the multiplication assignment to sparse matrices.
431  //**********************************************************************************************
432 
433  //**SMP assignment to dense matrices************************************************************
447  template< typename MT // Type of the target dense matrix
448  , bool SO2 > // Storage order of the target dense matrix
449  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
450  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
451  {
453 
454  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
455  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
456 
457  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
458  smpSubAssign( ~lhs, rhs.rhs_ );
459  }
460  else {
461  smpAssign ( ~lhs, rhs.lhs_ );
462  smpSubAssign( ~lhs, rhs.rhs_ );
463  }
464  }
466  //**********************************************************************************************
467 
468  //**SMP assignment to sparse matrices***********************************************************
482  template< typename MT // Type of the target sparse matrix
483  , bool SO2 > // Storage order of the target sparse matrix
484  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
485  smpAssign( SparseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
486  {
488 
489  typedef typename SelectType< SO2, OppositeType, ResultType >::Type TmpType;
490 
497 
498  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
499  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
500 
501  const TmpType tmp( rhs );
502  smpAssign( ~lhs, tmp );
503  }
505  //**********************************************************************************************
506 
507  //**SMP addition assignment to dense matrices***************************************************
522  template< typename MT // Type of the target dense matrix
523  , bool SO2 > // Storage order of the target dense matrix
524  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
525  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
526  {
528 
529  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
530  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
531 
532  smpAddAssign( ~lhs, rhs.lhs_ );
533  smpSubAssign( ~lhs, rhs.rhs_ );
534  }
536  //**********************************************************************************************
537 
538  //**SMP addition assignment to sparse matrices**************************************************
539  // No special implementation for the SMP addition assignment to sparse matrices.
540  //**********************************************************************************************
541 
542  //**SMP subtraction assignment to dense matrices************************************************
557  template< typename MT // Type of the target dense matrix
558  , bool SO2 > // Storage order of the target dense matrix
559  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
560  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
561  {
563 
564  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
565  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
566 
567  smpSubAssign( ~lhs, rhs.lhs_ );
568  smpAddAssign( ~lhs, rhs.rhs_ );
569  }
571  //**********************************************************************************************
572 
573  //**SMP subtraction assignment to sparse matrices***********************************************
574  // No special implementation for the SMP subtraction assignment to sparse matrices.
575  //**********************************************************************************************
576 
577  //**SMP multiplication assignment to dense matrices*********************************************
578  // No special implementation for the SMP multiplication assignment to dense matrices.
579  //**********************************************************************************************
580 
581  //**SMP multiplication assignment to sparse matrices********************************************
582  // No special implementation for the SMP multiplication assignment to sparse matrices.
583  //**********************************************************************************************
584 
585  //**Compile time checks*************************************************************************
593  //**********************************************************************************************
594 };
595 //*************************************************************************************************
596 
597 
598 
599 
600 //=================================================================================================
601 //
602 // GLOBAL BINARY ARITHMETIC OPERATORS
603 //
604 //=================================================================================================
605 
606 //*************************************************************************************************
636 template< typename T1 // Type of the left-hand side dense matrix
637  , typename T2 > // Type of the right-hand side sparse matrix
638 inline const DMatTSMatSubExpr<T1,T2>
640 {
642 
643  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
644  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
645  }
646 
647  return DMatTSMatSubExpr<T1,T2>( ~lhs, ~rhs );
648 }
649 //*************************************************************************************************
650 
651 
652 
653 
654 //=================================================================================================
655 //
656 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
657 //
658 //=================================================================================================
659 
660 //*************************************************************************************************
673 template< typename T1 // Type of the dense matrix of the left-hand side expression
674  , typename T2 // Type of the sparse matrix of the left-hand side expression
675  , typename T3 // Type of the right-hand side dense matrix
676  , bool SO > // Storage order of the right-hand side dense matrix
677 inline const typename AddExprTrait< DMatTSMatSubExpr<T1,T2>, T3 >::Type
678  operator+( const DMatTSMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
679 {
681 
682  return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
683 }
685 //*************************************************************************************************
686 
687 
688 //*************************************************************************************************
701 template< typename T1 // Type of the dense matrix of the left-hand side expression
702  , typename T2 // Type of the sparse matrix of the left-hand side expression
703  , typename T3 // Type of the right-hand side dense matrix
704  , bool SO > // Storage order of the right-hand side dense matrix
705 inline const typename SubExprTrait< DMatTSMatSubExpr<T1,T2>, T3 >::Type
706  operator-( const DMatTSMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
707 {
709 
710  return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
711 }
713 //*************************************************************************************************
714 
715 
716 
717 
718 //=================================================================================================
719 //
720 // ROWS SPECIALIZATIONS
721 //
722 //=================================================================================================
723 
724 //*************************************************************************************************
726 template< typename MT1, typename MT2 >
727 struct Rows< DMatTSMatSubExpr<MT1,MT2> >
728  : public Max< Rows<MT1>, Rows<MT2> >
729 {};
731 //*************************************************************************************************
732 
733 
734 
735 
736 //=================================================================================================
737 //
738 // COLUMNS SPECIALIZATIONS
739 //
740 //=================================================================================================
741 
742 //*************************************************************************************************
744 template< typename MT1, typename MT2 >
745 struct Columns< DMatTSMatSubExpr<MT1,MT2> >
746  : public Max< Columns<MT1>, Columns<MT2> >
747 {};
749 //*************************************************************************************************
750 
751 
752 
753 
754 //=================================================================================================
755 //
756 // ISSYMMETRIC SPECIALIZATIONS
757 //
758 //=================================================================================================
759 
760 //*************************************************************************************************
762 template< typename MT1, typename MT2 >
763 struct IsSymmetric< DMatTSMatSubExpr<MT1,MT2> >
764  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
765 {};
767 //*************************************************************************************************
768 
769 
770 
771 
772 //=================================================================================================
773 //
774 // ISHERMITIAN SPECIALIZATIONS
775 //
776 //=================================================================================================
777 
778 //*************************************************************************************************
780 template< typename MT1, typename MT2 >
781 struct IsHermitian< DMatTSMatSubExpr<MT1,MT2> >
782  : public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
783 {};
785 //*************************************************************************************************
786 
787 
788 
789 
790 //=================================================================================================
791 //
792 // ISLOWER SPECIALIZATIONS
793 //
794 //=================================================================================================
795 
796 //*************************************************************************************************
798 template< typename MT1, typename MT2 >
799 struct IsLower< DMatTSMatSubExpr<MT1,MT2> >
800  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
801 {};
803 //*************************************************************************************************
804 
805 
806 
807 
808 //=================================================================================================
809 //
810 // ISUNILOWER SPECIALIZATIONS
811 //
812 //=================================================================================================
813 
814 //*************************************************************************************************
816 template< typename MT1, typename MT2 >
817 struct IsUniLower< DMatTSMatSubExpr<MT1,MT2> >
818  : public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
819 {};
821 //*************************************************************************************************
822 
823 
824 
825 
826 //=================================================================================================
827 //
828 // ISSTRICTLYLOWER SPECIALIZATIONS
829 //
830 //=================================================================================================
831 
832 //*************************************************************************************************
834 template< typename MT1, typename MT2 >
835 struct IsStrictlyLower< DMatTSMatSubExpr<MT1,MT2> >
836  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
837 {};
839 //*************************************************************************************************
840 
841 
842 
843 
844 //=================================================================================================
845 //
846 // ISUPPER SPECIALIZATIONS
847 //
848 //=================================================================================================
849 
850 //*************************************************************************************************
852 template< typename MT1, typename MT2 >
853 struct IsUpper< DMatTSMatSubExpr<MT1,MT2> >
854  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
855 {};
857 //*************************************************************************************************
858 
859 
860 
861 
862 //=================================================================================================
863 //
864 // ISUNIUPPER SPECIALIZATIONS
865 //
866 //=================================================================================================
867 
868 //*************************************************************************************************
870 template< typename MT1, typename MT2 >
871 struct IsUniUpper< DMatTSMatSubExpr<MT1,MT2> >
872  : public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
873 {};
875 //*************************************************************************************************
876 
877 
878 
879 
880 //=================================================================================================
881 //
882 // ISSTRICTLYUPPER SPECIALIZATIONS
883 //
884 //=================================================================================================
885 
886 //*************************************************************************************************
888 template< typename MT1, typename MT2 >
889 struct IsStrictlyUpper< DMatTSMatSubExpr<MT1,MT2> >
890  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
891 {};
893 //*************************************************************************************************
894 
895 
896 
897 
898 //=================================================================================================
899 //
900 // EXPRESSION TRAIT SPECIALIZATIONS
901 //
902 //=================================================================================================
903 
904 //*************************************************************************************************
906 template< typename MT1, typename MT2, typename MT3 >
907 struct DMatDMatAddExprTrait< DMatTSMatSubExpr<MT1,MT2>, MT3 >
908 {
909  public:
910  //**********************************************************************************************
912  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
913  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
914  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
915  , typename DMatTSMatSubExprTrait< typename DMatDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
916  , INVALID_TYPE >::Type Type;
918  //**********************************************************************************************
919 };
921 //*************************************************************************************************
922 
923 
924 //*************************************************************************************************
926 template< typename MT1, typename MT2, typename MT3 >
927 struct DMatTDMatAddExprTrait< DMatTSMatSubExpr<MT1,MT2>, MT3 >
928 {
929  public:
930  //**********************************************************************************************
932  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
933  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
934  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
935  , typename DMatTSMatSubExprTrait< typename DMatTDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
936  , INVALID_TYPE >::Type Type;
938  //**********************************************************************************************
939 };
941 //*************************************************************************************************
942 
943 
944 //*************************************************************************************************
946 template< typename MT1, typename MT2, typename MT3 >
947 struct DMatDMatSubExprTrait< DMatTSMatSubExpr<MT1,MT2>, MT3 >
948 {
949  public:
950  //**********************************************************************************************
952  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
953  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
954  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
955  , typename DMatTSMatSubExprTrait< typename DMatDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
956  , INVALID_TYPE >::Type Type;
958  //**********************************************************************************************
959 };
961 //*************************************************************************************************
962 
963 
964 //*************************************************************************************************
966 template< typename MT1, typename MT2, typename MT3 >
967 struct DMatTDMatSubExprTrait< DMatTSMatSubExpr<MT1,MT2>, MT3 >
968 {
969  public:
970  //**********************************************************************************************
972  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
973  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
974  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
975  , typename DMatTSMatSubExprTrait< typename DMatTDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
976  , INVALID_TYPE >::Type Type;
978  //**********************************************************************************************
979 };
981 //*************************************************************************************************
982 
983 
984 //*************************************************************************************************
986 template< typename MT1, typename MT2, bool AF >
987 struct SubmatrixExprTrait< DMatTSMatSubExpr<MT1,MT2>, AF >
988 {
989  public:
990  //**********************************************************************************************
991  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
992  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
993  //**********************************************************************************************
994 };
996 //*************************************************************************************************
997 
998 
999 //*************************************************************************************************
1001 template< typename MT1, typename MT2 >
1002 struct RowExprTrait< DMatTSMatSubExpr<MT1,MT2> >
1003 {
1004  public:
1005  //**********************************************************************************************
1006  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1007  , typename RowExprTrait<const MT2>::Type >::Type Type;
1008  //**********************************************************************************************
1009 };
1011 //*************************************************************************************************
1012 
1013 
1014 //*************************************************************************************************
1016 template< typename MT1, typename MT2 >
1017 struct ColumnExprTrait< DMatTSMatSubExpr<MT1,MT2> >
1018 {
1019  public:
1020  //**********************************************************************************************
1021  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1022  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1023  //**********************************************************************************************
1024 };
1026 //*************************************************************************************************
1027 
1028 } // namespace blaze
1029 
1030 #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
Header file for the Max class template.
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatTSMatSubExpr.h:289
Header file for the subtraction trait.
Header file for basic type definitions.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: DMatTSMatSubExpr.h:150
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatTSMatSubExpr.h:115
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
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b)
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:647
Header file for the ColumnExprTrait class template.
ResultType::ElementType ElementType
Resulting element type.
Definition: DMatTSMatSubExpr.h:151
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTSMatSubExpr.h:196
Header file for the IsColumnMajorMatrix type trait.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: DMatTSMatSubExpr.h:282
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.
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTSMatSubExpr.h:128
Header file for the AddExprTrait class template.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatTSMatSubExpr.h:113
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.
Constraints on the storage order of matrix types.
Header file for the IsUniLower type trait.
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:117
Constraint on the data type.
Constraint on the data type.
Constraint on the data type.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatTSMatSubExpr.h:163
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:65
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Expression object for dense matrix-transpose sparse matrix subtractions.The DMatTSMatSubExpr class re...
Definition: DMatTSMatSubExpr.h:106
#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
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: DMatTSMatSubExpr.h:269
#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.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: DMatTSMatSubExpr.h:237
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:642
size_t rows() const
Returns the current number of rows of the matrix.
Definition: DMatTSMatSubExpr.h:227
#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.
Header file for the serial shim.
MT1::ResultType RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatTSMatSubExpr.h:112
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatTSMatSubExpr.h:211
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: DMatTSMatSubExpr.h:257
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
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatTSMatSubExpr.h:247
Header file for run time assertion macros.
EnableIf< IsDenseMatrix< MT1 > >::Type smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
Utility type for generic codes.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTSMatSubExpr.h:149
MT1::ReturnType RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTSMatSubExpr.h:114
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTSMatSubExpr.h:160
Constraints on the storage order of matrix types.
DMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the DMatTSMatSubExpr class.
Definition: DMatTSMatSubExpr.h:180
#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
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: DMatTSMatSubExpr.h:290
Header file for the IsRowMajorMatrix type trait.
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
EnableIf< IsDenseMatrix< MT1 > >::Type smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
DMatTSMatSubExpr< MT1, MT2 > This
Type of this DMatTSMatSubExpr instance.
Definition: DMatTSMatSubExpr.h:147
#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
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: DMatTSMatSubExpr.h:154
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTSMatSubExpr.h:157
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:165
Base template for the SubTrait class.
Definition: SubTrait.h:138
Header file for the IsUpper type trait.
Header file for exception macros.
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:79
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:87
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: DMatTSMatSubExpr.h:148