DMatTSMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATTSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATTSMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <stdexcept>
74 #include <blaze/util/Assert.h>
76 #include <blaze/util/EnableIf.h>
78 #include <blaze/util/mpl/And.h>
79 #include <blaze/util/mpl/Max.h>
80 #include <blaze/util/SelectType.h>
81 #include <blaze/util/Types.h>
83 
84 
85 namespace blaze {
86 
87 //=================================================================================================
88 //
89 // CLASS DMATTSMATSUBEXPR
90 //
91 //=================================================================================================
92 
93 //*************************************************************************************************
100 template< typename MT1 // Type of the left-hand side dense matrix
101  , typename MT2 > // Type of the right-hand side sparse matrix
102 class DMatTSMatSubExpr : public DenseMatrix< DMatTSMatSubExpr<MT1,MT2>, false >
103  , private MatMatSubExpr
104  , private Computation
105 {
106  private:
107  //**Type definitions****************************************************************************
108  typedef typename MT1::ResultType RT1;
109  typedef typename MT2::ResultType RT2;
110  typedef typename MT1::ReturnType RN1;
111  typedef typename MT2::ReturnType RN2;
112  //**********************************************************************************************
113 
114  //**Return type evaluation**********************************************************************
116 
121  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
122 
125  //**********************************************************************************************
126 
127  //**Parallel evaluation strategy****************************************************************
129 
134  template< typename MT >
135  struct UseSMPAssign {
136  enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
137  };
139  //**********************************************************************************************
140 
141  public:
142  //**Type definitions****************************************************************************
148 
151 
153  typedef const ResultType CompositeType;
154 
156  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
157 
159  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
160  //**********************************************************************************************
161 
162  //**Compilation flags***************************************************************************
164  enum { vectorizable = 0 };
165 
167  enum { smpAssignable = 0 };
168  //**********************************************************************************************
169 
170  //**Constructor*********************************************************************************
176  explicit inline DMatTSMatSubExpr( const MT1& lhs, const MT2& rhs )
177  : lhs_( lhs ) // Left-hand side dense matrix of the subtraction expression
178  , rhs_( rhs ) // Right-hand side sparse matrix of the subtraction expression
179  {
180  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
181  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
182  }
183  //**********************************************************************************************
184 
185  //**Access operator*****************************************************************************
192  inline ReturnType operator()( size_t i, size_t j ) const {
193  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
194  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
195  return lhs_(i,j) - rhs_(i,j);
196  }
197  //**********************************************************************************************
198 
199  //**Rows function*******************************************************************************
204  inline size_t rows() const {
205  return lhs_.rows();
206  }
207  //**********************************************************************************************
208 
209  //**Columns function****************************************************************************
214  inline size_t columns() const {
215  return lhs_.columns();
216  }
217  //**********************************************************************************************
218 
219  //**Left operand access*************************************************************************
224  inline LeftOperand leftOperand() const {
225  return lhs_;
226  }
227  //**********************************************************************************************
228 
229  //**Right operand access************************************************************************
234  inline RightOperand rightOperand() const {
235  return rhs_;
236  }
237  //**********************************************************************************************
238 
239  //**********************************************************************************************
245  template< typename T >
246  inline bool canAlias( const T* alias ) const {
247  return ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
248  ( rhs_.canAlias( alias ) );
249  }
250  //**********************************************************************************************
251 
252  //**********************************************************************************************
258  template< typename T >
259  inline bool isAliased( const T* alias ) const {
260  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
261  }
262  //**********************************************************************************************
263 
264  private:
265  //**Member variables****************************************************************************
266  LeftOperand lhs_;
267  RightOperand rhs_;
268  //**********************************************************************************************
269 
270  //**Assignment to dense matrices****************************************************************
282  template< typename MT // Type of the target dense matrix
283  , bool SO2 > // Storage order of the target dense matrix
284  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
285  {
287 
288  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
289  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
290 
291  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
292  subAssign( ~lhs, rhs.rhs_ );
293  }
294  else {
295  assign ( ~lhs, rhs.lhs_ );
296  subAssign( ~lhs, rhs.rhs_ );
297  }
298  }
300  //**********************************************************************************************
301 
302  //**Assignment to sparse matrices***************************************************************
314  template< typename MT // Type of the target sparse matrix
315  , bool SO2 > // Storage order of the target sparse matrix
316  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
317  {
319 
320  typedef typename SelectType< SO2, OppositeType, ResultType >::Type TmpType;
321 
328 
329  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
330  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
331 
332  const TmpType tmp( serial( rhs ) );
333  assign( ~lhs, tmp );
334  }
336  //**********************************************************************************************
337 
338  //**Addition assignment to dense matrices*******************************************************
351  template< typename MT // Type of the target dense matrix
352  , bool SO2 > // Storage order of the target dense matrix
353  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
354  {
356 
357  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
358  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
359 
360  addAssign( ~lhs, rhs.lhs_ );
361  subAssign( ~lhs, rhs.rhs_ );
362  }
364  //**********************************************************************************************
365 
366  //**Addition assignment to sparse matrices******************************************************
367  // No special implementation for the addition assignment to sparse matrices.
368  //**********************************************************************************************
369 
370  //**Subtraction assignment to dense matrices****************************************************
383  template< typename MT // Type of the target dense matrix
384  , bool SO2 > // Storage order of the target dense matrix
385  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
386  {
388 
389  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
390  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
391 
392  subAssign( ~lhs, rhs.lhs_ );
393  addAssign( ~lhs, rhs.rhs_ );
394  }
396  //**********************************************************************************************
397 
398  //**Subtraction assignment to sparse matrices***************************************************
399  // No special implementation for the subtraction assignment to sparse matrices.
400  //**********************************************************************************************
401 
402  //**Multiplication assignment to dense matrices*************************************************
403  // No special implementation for the multiplication assignment to dense matrices.
404  //**********************************************************************************************
405 
406  //**Multiplication assignment to sparse matrices************************************************
407  // No special implementation for the multiplication assignment to sparse matrices.
408  //**********************************************************************************************
409 
410  //**SMP assignment to dense matrices************************************************************
424  template< typename MT // Type of the target dense matrix
425  , bool SO2 > // Storage order of the target dense matrix
426  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
427  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
428  {
430 
431  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
432  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
433 
434  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
435  smpSubAssign( ~lhs, rhs.rhs_ );
436  }
437  else {
438  smpAssign ( ~lhs, rhs.lhs_ );
439  smpSubAssign( ~lhs, rhs.rhs_ );
440  }
441  }
443  //**********************************************************************************************
444 
445  //**SMP assignment to sparse matrices***********************************************************
459  template< typename MT // Type of the target sparse matrix
460  , bool SO2 > // Storage order of the target sparse matrix
461  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
462  smpAssign( SparseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
463  {
465 
466  typedef typename SelectType< SO2, OppositeType, ResultType >::Type TmpType;
467 
474 
475  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
476  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
477 
478  const TmpType tmp( rhs );
479  smpAssign( ~lhs, tmp );
480  }
482  //**********************************************************************************************
483 
484  //**SMP addition assignment to dense matrices***************************************************
499  template< typename MT // Type of the target dense matrix
500  , bool SO2 > // Storage order of the target dense matrix
501  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
502  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
503  {
505 
506  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
507  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
508 
509  smpAddAssign( ~lhs, rhs.lhs_ );
510  smpSubAssign( ~lhs, rhs.rhs_ );
511  }
513  //**********************************************************************************************
514 
515  //**SMP addition assignment to sparse matrices**************************************************
516  // No special implementation for the SMP addition assignment to sparse matrices.
517  //**********************************************************************************************
518 
519  //**SMP subtraction assignment to dense matrices************************************************
534  template< typename MT // Type of the target dense matrix
535  , bool SO2 > // Storage order of the target dense matrix
536  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
537  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const DMatTSMatSubExpr& rhs )
538  {
540 
541  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
542  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
543 
544  smpSubAssign( ~lhs, rhs.lhs_ );
545  smpAddAssign( ~lhs, rhs.rhs_ );
546  }
548  //**********************************************************************************************
549 
550  //**SMP subtraction assignment to sparse matrices***********************************************
551  // No special implementation for the SMP subtraction assignment to sparse matrices.
552  //**********************************************************************************************
553 
554  //**SMP multiplication assignment to dense matrices*********************************************
555  // No special implementation for the SMP multiplication assignment to dense matrices.
556  //**********************************************************************************************
557 
558  //**SMP multiplication assignment to sparse matrices********************************************
559  // No special implementation for the SMP multiplication assignment to sparse matrices.
560  //**********************************************************************************************
561 
562  //**Compile time checks*************************************************************************
570  //**********************************************************************************************
571 };
572 //*************************************************************************************************
573 
574 
575 
576 
577 //=================================================================================================
578 //
579 // GLOBAL BINARY ARITHMETIC OPERATORS
580 //
581 //=================================================================================================
582 
583 //*************************************************************************************************
613 template< typename T1 // Type of the left-hand side dense matrix
614  , typename T2 > // Type of the right-hand side sparse matrix
615 inline const DMatTSMatSubExpr<T1,T2>
617 {
619 
620  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() )
621  throw std::invalid_argument( "Matrix sizes do not match" );
622 
623  return DMatTSMatSubExpr<T1,T2>( ~lhs, ~rhs );
624 }
625 //*************************************************************************************************
626 
627 
628 
629 
630 //=================================================================================================
631 //
632 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
633 //
634 //=================================================================================================
635 
636 //*************************************************************************************************
649 template< typename T1 // Type of the dense matrix of the left-hand side expression
650  , typename T2 // Type of the sparse matrix of the left-hand side expression
651  , typename T3 // Type of the right-hand side dense matrix
652  , bool SO > // Storage order of the right-hand side dense matrix
653 inline const typename AddExprTrait< DMatTSMatSubExpr<T1,T2>, T3 >::Type
654  operator+( const DMatTSMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
655 {
657 
658  return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
659 }
661 //*************************************************************************************************
662 
663 
664 //*************************************************************************************************
677 template< typename T1 // Type of the dense matrix of the left-hand side expression
678  , typename T2 // Type of the sparse matrix of the left-hand side expression
679  , typename T3 // Type of the right-hand side dense matrix
680  , bool SO > // Storage order of the right-hand side dense matrix
681 inline const typename SubExprTrait< DMatTSMatSubExpr<T1,T2>, T3 >::Type
682  operator-( const DMatTSMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
683 {
685 
686  return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
687 }
689 //*************************************************************************************************
690 
691 
692 
693 
694 //=================================================================================================
695 //
696 // ROWS SPECIALIZATIONS
697 //
698 //=================================================================================================
699 
700 //*************************************************************************************************
702 template< typename MT1, typename MT2 >
703 struct Rows< DMatTSMatSubExpr<MT1,MT2> >
704  : public Max< Rows<MT1>, Rows<MT2> >::Type
705 {};
707 //*************************************************************************************************
708 
709 
710 
711 
712 //=================================================================================================
713 //
714 // COLUMNS SPECIALIZATIONS
715 //
716 //=================================================================================================
717 
718 //*************************************************************************************************
720 template< typename MT1, typename MT2 >
721 struct Columns< DMatTSMatSubExpr<MT1,MT2> >
722  : public Max< Columns<MT1>, Columns<MT2> >::Type
723 {};
725 //*************************************************************************************************
726 
727 
728 
729 
730 //=================================================================================================
731 //
732 // ISSYMMETRIC SPECIALIZATIONS
733 //
734 //=================================================================================================
735 
736 //*************************************************************************************************
738 template< typename MT1, typename MT2 >
739 struct IsSymmetric< DMatTSMatSubExpr<MT1,MT2> >
740  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
741 {};
743 //*************************************************************************************************
744 
745 
746 
747 
748 //=================================================================================================
749 //
750 // ISLOWER SPECIALIZATIONS
751 //
752 //=================================================================================================
753 
754 //*************************************************************************************************
756 template< typename MT1, typename MT2 >
757 struct IsLower< DMatTSMatSubExpr<MT1,MT2> >
758  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
759 {};
761 //*************************************************************************************************
762 
763 
764 
765 
766 //=================================================================================================
767 //
768 // ISUNILOWER SPECIALIZATIONS
769 //
770 //=================================================================================================
771 
772 //*************************************************************************************************
774 template< typename MT1, typename MT2 >
775 struct IsUniLower< DMatTSMatSubExpr<MT1,MT2> >
776  : public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
777 {};
779 //*************************************************************************************************
780 
781 
782 
783 
784 //=================================================================================================
785 //
786 // ISSTRICTLYLOWER SPECIALIZATIONS
787 //
788 //=================================================================================================
789 
790 //*************************************************************************************************
792 template< typename MT1, typename MT2 >
793 struct IsStrictlyLower< DMatTSMatSubExpr<MT1,MT2> >
794  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
795 {};
797 //*************************************************************************************************
798 
799 
800 
801 
802 //=================================================================================================
803 //
804 // ISUPPER SPECIALIZATIONS
805 //
806 //=================================================================================================
807 
808 //*************************************************************************************************
810 template< typename MT1, typename MT2 >
811 struct IsUpper< DMatTSMatSubExpr<MT1,MT2> >
812  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
813 {};
815 //*************************************************************************************************
816 
817 
818 
819 
820 //=================================================================================================
821 //
822 // ISUNIUPPER SPECIALIZATIONS
823 //
824 //=================================================================================================
825 
826 //*************************************************************************************************
828 template< typename MT1, typename MT2 >
829 struct IsUniUpper< DMatTSMatSubExpr<MT1,MT2> >
830  : public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
831 {};
833 //*************************************************************************************************
834 
835 
836 
837 
838 //=================================================================================================
839 //
840 // ISSTRICTLYUPPER SPECIALIZATIONS
841 //
842 //=================================================================================================
843 
844 //*************************************************************************************************
846 template< typename MT1, typename MT2 >
847 struct IsStrictlyUpper< DMatTSMatSubExpr<MT1,MT2> >
848  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
849 {};
851 //*************************************************************************************************
852 
853 
854 
855 
856 //=================================================================================================
857 //
858 // EXPRESSION TRAIT SPECIALIZATIONS
859 //
860 //=================================================================================================
861 
862 //*************************************************************************************************
864 template< typename MT1, typename MT2, typename MT3 >
865 struct DMatDMatAddExprTrait< DMatTSMatSubExpr<MT1,MT2>, MT3 >
866 {
867  public:
868  //**********************************************************************************************
870  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
871  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
872  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
873  , typename DMatTSMatSubExprTrait< typename DMatDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
874  , INVALID_TYPE >::Type Type;
876  //**********************************************************************************************
877 };
879 //*************************************************************************************************
880 
881 
882 //*************************************************************************************************
884 template< typename MT1, typename MT2, typename MT3 >
885 struct DMatTDMatAddExprTrait< DMatTSMatSubExpr<MT1,MT2>, MT3 >
886 {
887  public:
888  //**********************************************************************************************
890  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
891  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
892  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
893  , typename DMatTSMatSubExprTrait< typename DMatTDMatAddExprTrait<MT1,MT3>::Type, MT2 >::Type
894  , INVALID_TYPE >::Type Type;
896  //**********************************************************************************************
897 };
899 //*************************************************************************************************
900 
901 
902 //*************************************************************************************************
904 template< typename MT1, typename MT2, typename MT3 >
905 struct DMatDMatSubExprTrait< DMatTSMatSubExpr<MT1,MT2>, MT3 >
906 {
907  public:
908  //**********************************************************************************************
910  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
911  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
912  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
913  , typename DMatTSMatSubExprTrait< typename DMatDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
914  , INVALID_TYPE >::Type Type;
916  //**********************************************************************************************
917 };
919 //*************************************************************************************************
920 
921 
922 //*************************************************************************************************
924 template< typename MT1, typename MT2, typename MT3 >
925 struct DMatTDMatSubExprTrait< DMatTSMatSubExpr<MT1,MT2>, MT3 >
926 {
927  public:
928  //**********************************************************************************************
930  typedef typename SelectType< IsDenseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
931  IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
932  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
933  , typename DMatTSMatSubExprTrait< typename DMatTDMatSubExprTrait<MT1,MT3>::Type, MT2 >::Type
934  , INVALID_TYPE >::Type Type;
936  //**********************************************************************************************
937 };
939 //*************************************************************************************************
940 
941 
942 //*************************************************************************************************
944 template< typename MT1, typename MT2, bool AF >
945 struct SubmatrixExprTrait< DMatTSMatSubExpr<MT1,MT2>, AF >
946 {
947  public:
948  //**********************************************************************************************
949  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
950  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
951  //**********************************************************************************************
952 };
954 //*************************************************************************************************
955 
956 
957 //*************************************************************************************************
959 template< typename MT1, typename MT2 >
960 struct RowExprTrait< DMatTSMatSubExpr<MT1,MT2> >
961 {
962  public:
963  //**********************************************************************************************
964  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
965  , typename RowExprTrait<const MT2>::Type >::Type Type;
966  //**********************************************************************************************
967 };
969 //*************************************************************************************************
970 
971 
972 //*************************************************************************************************
974 template< typename MT1, typename MT2 >
975 struct ColumnExprTrait< DMatTSMatSubExpr<MT1,MT2> >
976 {
977  public:
978  //**********************************************************************************************
979  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
980  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
981  //**********************************************************************************************
982 };
984 //*************************************************************************************************
985 
986 } // namespace blaze
987 
988 #endif
Constraint on the data type.
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:266
Header file for the subtraction trait.
Header file for basic type definitions.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: DMatTSMatSubExpr.h:146
MT2::ReturnType RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatTSMatSubExpr.h:111
Header file for the IsSparseMatrix type trait.
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:209
#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:946
Header file for the ColumnExprTrait class template.
ResultType::ElementType ElementType
Resulting element type.
Definition: DMatTSMatSubExpr.h:147
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatTSMatSubExpr.h:192
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:259
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2507
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:261
Header file for the And class template.
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: DMatTSMatSubExpr.h:124
Header file for the AddExprTrait class template.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatTSMatSubExpr.h:109
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:699
Header file for the Computation base class.
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:107
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:159
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:102
#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: StorageOrder.h:161
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: DMatTSMatSubExpr.h:246
Header file for the DenseMatrix base class.
BLAZE_ALWAYS_INLINE void assign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the assignment of a matrix to a matrix.
Definition: Matrix.h:635
Header file for the Columns type trait.
Header file for the MatMatSubExpr base class.
const DenseIterator< Type > operator+(const DenseIterator< Type > &it, ptrdiff_t inc)
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:556
Header file for the IsLower type trait.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: DMatTSMatSubExpr.h:214
size_t rows() const
Returns the current number of rows of the matrix.
Definition: DMatTSMatSubExpr.h:204
#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:108
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: DMatTSMatSubExpr.h:234
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: StorageOrder.h:81
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2506
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatTSMatSubExpr.h:224
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
BLAZE_ALWAYS_INLINE void addAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the addition assignment of a matrix to a matrix.
Definition: Matrix.h:742
const DenseIterator< Type > operator-(const DenseIterator< Type > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:585
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatTSMatSubExpr.h:145
MT1::ReturnType RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatTSMatSubExpr.h:110
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatTSMatSubExpr.h:156
DMatTSMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the DMatTSMatSubExpr class.
Definition: DMatTSMatSubExpr.h:176
#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:283
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: DMatTSMatSubExpr.h:267
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:143
#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:150
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2502
Header file for the IsTrue value trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatTSMatSubExpr.h:153
#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:150
Header file for the IsUpper 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.
BLAZE_ALWAYS_INLINE void subAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the subtraction assignment of a matrix to matrix.
Definition: Matrix.h:849
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: DMatTSMatSubExpr.h:144