TSMatDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
74 #include <blaze/util/Assert.h>
76 #include <blaze/util/EnableIf.h>
77 #include <blaze/util/Exception.h>
78 #include <blaze/util/InvalidType.h>
80 #include <blaze/util/mpl/And.h>
81 #include <blaze/util/mpl/Max.h>
82 #include <blaze/util/SelectType.h>
83 #include <blaze/util/Types.h>
85 
86 
87 namespace blaze {
88 
89 //=================================================================================================
90 //
91 // CLASS SMATTDMATSUBEXPR
92 //
93 //=================================================================================================
94 
95 //*************************************************************************************************
102 template< typename MT1 // Type of the left-hand side sparse matrix
103  , typename MT2 > // Type of the right-hand side dense matrix
104 class TSMatDMatSubExpr : public DenseMatrix< TSMatDMatSubExpr<MT1,MT2>, false >
105  , private MatMatSubExpr
106  , private Computation
107 {
108  private:
109  //**Type definitions****************************************************************************
110  typedef typename MT1::ResultType RT1;
111  typedef typename MT2::ResultType RT2;
112  typedef typename MT1::ReturnType RN1;
113  typedef typename MT2::ReturnType RN2;
114  //**********************************************************************************************
115 
116  //**Return type evaluation**********************************************************************
118 
123  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
124 
127  //**********************************************************************************************
128 
129  //**Parallel evaluation strategy****************************************************************
131 
136  template< typename MT >
137  struct UseSMPAssign {
138  enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
139  };
141  //**********************************************************************************************
142 
143  public:
144  //**Type definitions****************************************************************************
150 
153 
155  typedef const ResultType CompositeType;
156 
158  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
159 
161  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
162  //**********************************************************************************************
163 
164  //**Compilation flags***************************************************************************
166  enum { vectorizable = 0 };
167 
169  enum { smpAssignable = 0 };
170  //**********************************************************************************************
171 
172  //**Constructor*********************************************************************************
178  explicit inline TSMatDMatSubExpr( const MT1& lhs, const MT2& rhs )
179  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
180  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
181  {
182  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
183  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
184  }
185  //**********************************************************************************************
186 
187  //**Access operator*****************************************************************************
194  inline ReturnType operator()( size_t i, size_t j ) const {
195  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
196  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
197  return lhs_(i,j) - rhs_(i,j);
198  }
199  //**********************************************************************************************
200 
201  //**At function*********************************************************************************
209  inline ReturnType at( size_t i, size_t j ) const {
210  if( i >= lhs_.rows() ) {
211  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
212  }
213  if( j >= lhs_.columns() ) {
214  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
215  }
216  return (*this)(i,j);
217  }
218  //**********************************************************************************************
219 
220  //**Rows function*******************************************************************************
225  inline size_t rows() const {
226  return lhs_.rows();
227  }
228  //**********************************************************************************************
229 
230  //**Columns function****************************************************************************
235  inline size_t columns() const {
236  return lhs_.columns();
237  }
238  //**********************************************************************************************
239 
240  //**Left operand access*************************************************************************
245  inline LeftOperand leftOperand() const {
246  return lhs_;
247  }
248  //**********************************************************************************************
249 
250  //**Right operand access************************************************************************
255  inline RightOperand rightOperand() const {
256  return rhs_;
257  }
258  //**********************************************************************************************
259 
260  //**********************************************************************************************
266  template< typename T >
267  inline bool canAlias( const T* alias ) const {
268  return ( lhs_.canAlias( alias ) ) ||
269  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
270  }
271  //**********************************************************************************************
272 
273  //**********************************************************************************************
279  template< typename T >
280  inline bool isAliased( const T* alias ) const {
281  return lhs_.isAliased( alias ) || rhs_.isAliased( alias );
282  }
283  //**********************************************************************************************
284 
285  private:
286  //**Member variables****************************************************************************
287  LeftOperand lhs_;
288  RightOperand rhs_;
289  //**********************************************************************************************
290 
291  //**Assignment to dense matrices****************************************************************
303  template< typename MT // Type of the target dense matrix
304  , bool SO2 > // Storage order of the target dense matrix
305  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
306  {
308 
309  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
310  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
311 
312  assign ( ~lhs, -rhs.rhs_ );
313  addAssign( ~lhs, rhs.lhs_ );
314  }
316  //**********************************************************************************************
317 
318  //**Assignment to sparse matrices***************************************************************
330  template< typename MT // Type of the target sparse matrix
331  , bool SO2 > // Storage order of the target sparse matrix
332  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
333  {
335 
336  typedef typename SelectType< SO2, OppositeType, ResultType >::Type TmpType;
337 
344 
345  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
346  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
347 
348  const TmpType tmp( serial( rhs ) );
349  assign( ~lhs, tmp );
350  }
352  //**********************************************************************************************
353 
354  //**Addition assignment to dense matrices*******************************************************
367  template< typename MT // Type of the target dense matrix
368  , bool SO2 > // Storage order of the target dense matrix
369  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
370  {
372 
373  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
374  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
375 
376  subAssign( ~lhs, rhs.rhs_ );
377  addAssign( ~lhs, rhs.lhs_ );
378  }
380  //**********************************************************************************************
381 
382  //**Addition assignment to sparse matrices******************************************************
383  // No special implementation for the addition assignment to sparse matrices.
384  //**********************************************************************************************
385 
386  //**Subtraction assignment to dense matrices****************************************************
399  template< typename MT // Type of the target dense matrix
400  , bool SO2 > // Storage order of the target dense matrix
401  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
402  {
404 
405  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
406  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
407 
408  addAssign( ~lhs, rhs.rhs_ );
409  subAssign( ~lhs, rhs.lhs_ );
410  }
412  //**********************************************************************************************
413 
414  //**Subtraction assignment to sparse matrices***************************************************
415  // No special implementation for the subtraction assignment to sparse matrices.
416  //**********************************************************************************************
417 
418  //**Multiplication assignment to dense matrices*************************************************
419  // No special implementation for the multiplication assignment to dense matrices.
420  //**********************************************************************************************
421 
422  //**Multiplication assignment to sparse matrices************************************************
423  // No special implementation for the multiplication assignment to sparse matrices.
424  //**********************************************************************************************
425 
426  //**SMP assignment to dense matrices************************************************************
440  template< typename MT // Type of the target dense matrix
441  , bool SO2 > // Storage order of the target dense matrix
442  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
443  smpAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
444  {
446 
447  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
448  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
449 
450  smpAssign ( ~lhs, -rhs.rhs_ );
451  smpAddAssign( ~lhs, rhs.lhs_ );
452  }
454  //**********************************************************************************************
455 
456  //**SMP assignment to sparse matrices***********************************************************
470  template< typename MT // Type of the target sparse matrix
471  , bool SO2 > // Storage order of the target sparse matrix
472  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
473  smpAssign( SparseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
474  {
476 
477  typedef typename SelectType< SO2, OppositeType, ResultType >::Type TmpType;
478 
485 
486  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
487  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
488 
489  const TmpType tmp( rhs );
490  smpAssign( ~lhs, tmp );
491  }
493  //**********************************************************************************************
494 
495  //**SMP addition assignment to dense matrices***************************************************
510  template< typename MT // Type of the target dense matrix
511  , bool SO2 > // Storage order of the target dense matrix
512  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
513  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
514  {
516 
517  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
518  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
519 
520  smpSubAssign( ~lhs, rhs.rhs_ );
521  smpAddAssign( ~lhs, rhs.lhs_ );
522  }
524  //**********************************************************************************************
525 
526  //**SMP addition assignment to sparse matrices**************************************************
527  // No special implementation for the SMP addition assignment to sparse matrices.
528  //**********************************************************************************************
529 
530  //**SMP subtraction assignment to dense matrices************************************************
545  template< typename MT // Type of the target dense matrix
546  , bool SO2 > // Storage order of the target dense matrix
547  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
548  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const TSMatDMatSubExpr& rhs )
549  {
551 
552  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
553  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
554 
555  smpAddAssign( ~lhs, rhs.rhs_ );
556  smpSubAssign( ~lhs, rhs.lhs_ );
557  }
559  //**********************************************************************************************
560 
561  //**SMP subtraction assignment to sparse matrices***********************************************
562  // No special implementation for the SMP subtraction assignment to sparse matrices.
563  //**********************************************************************************************
564 
565  //**SMP multiplication assignment to dense matrices*********************************************
566  // No special implementation for the SMP multiplication assignment to dense matrices.
567  //**********************************************************************************************
568 
569  //**SMP multiplication assignment to sparse matrices********************************************
570  // No special implementation for the SMP multiplication assignment to sparse matrices.
571  //**********************************************************************************************
572 
573  //**Compile time checks*************************************************************************
581  //**********************************************************************************************
582 };
583 //*************************************************************************************************
584 
585 
586 
587 
588 //=================================================================================================
589 //
590 // GLOBAL BINARY ARITHMETIC OPERATORS
591 //
592 //=================================================================================================
593 
594 //*************************************************************************************************
624 template< typename T1 // Type of the left-hand side sparse matrix
625  , typename T2 > // Type of the right-hand side dense matrix
626 inline const TSMatDMatSubExpr<T1,T2>
628 {
630 
631  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
632  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
633  }
634 
635  return TSMatDMatSubExpr<T1,T2>( ~lhs, ~rhs );
636 }
637 //*************************************************************************************************
638 
639 
640 
641 
642 //=================================================================================================
643 //
644 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
645 //
646 //=================================================================================================
647 
648 //*************************************************************************************************
661 template< typename T1 // Type of the sparse matrix of the left-hand side expression
662  , typename T2 // Type of the dense matrix of the left-hand side expression
663  , typename T3 // Type of the right-hand side dense matrix
664  , bool SO > // Storage order of the right-hand side dense matrix
665 inline const typename AddExprTrait< TSMatDMatSubExpr<T1,T2>, T3 >::Type
666  operator+( const TSMatDMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
667 {
669 
670  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
671 }
673 //*************************************************************************************************
674 
675 
676 //*************************************************************************************************
689 template< typename T1 // Type of the sparse matrix of the left-hand side expression
690  , typename T2 // Type of the dense matrix of the left-hand side expression
691  , typename T3 // Type of the right-hand side dense matrix
692  , bool SO > // Storage order of the right-hand side dense matrix
693 inline const typename SubExprTrait< TSMatDMatSubExpr<T1,T2>, T3 >::Type
694  operator-( const TSMatDMatSubExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
695 {
697 
698  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
699 }
701 //*************************************************************************************************
702 
703 
704 
705 
706 //=================================================================================================
707 //
708 // ROWS SPECIALIZATIONS
709 //
710 //=================================================================================================
711 
712 //*************************************************************************************************
714 template< typename MT1, typename MT2 >
715 struct Rows< TSMatDMatSubExpr<MT1,MT2> >
716  : public Max< Rows<MT1>, Rows<MT2> >
717 {};
719 //*************************************************************************************************
720 
721 
722 
723 
724 //=================================================================================================
725 //
726 // COLUMNS SPECIALIZATIONS
727 //
728 //=================================================================================================
729 
730 //*************************************************************************************************
732 template< typename MT1, typename MT2 >
733 struct Columns< TSMatDMatSubExpr<MT1,MT2> >
734  : public Max< Columns<MT1>, Columns<MT2> >
735 {};
737 //*************************************************************************************************
738 
739 
740 
741 
742 //=================================================================================================
743 //
744 // ISSYMMETRIC SPECIALIZATIONS
745 //
746 //=================================================================================================
747 
748 //*************************************************************************************************
750 template< typename MT1, typename MT2 >
751 struct IsSymmetric< TSMatDMatSubExpr<MT1,MT2> >
752  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
753 {};
755 //*************************************************************************************************
756 
757 
758 
759 
760 //=================================================================================================
761 //
762 // ISHERMITIAN SPECIALIZATIONS
763 //
764 //=================================================================================================
765 
766 //*************************************************************************************************
768 template< typename MT1, typename MT2 >
769 struct IsHermitian< TSMatDMatSubExpr<MT1,MT2> >
770  : public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
771 {};
773 //*************************************************************************************************
774 
775 
776 
777 
778 //=================================================================================================
779 //
780 // ISLOWER SPECIALIZATIONS
781 //
782 //=================================================================================================
783 
784 //*************************************************************************************************
786 template< typename MT1, typename MT2 >
787 struct IsLower< TSMatDMatSubExpr<MT1,MT2> >
788  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
789 {};
791 //*************************************************************************************************
792 
793 
794 
795 
796 //=================================================================================================
797 //
798 // ISUNILOWER SPECIALIZATIONS
799 //
800 //=================================================================================================
801 
802 //*************************************************************************************************
804 template< typename MT1, typename MT2 >
805 struct IsUniLower< TSMatDMatSubExpr<MT1,MT2> >
806  : public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
807 {};
809 //*************************************************************************************************
810 
811 
812 
813 
814 //=================================================================================================
815 //
816 // ISSTRICTLYLOWER SPECIALIZATIONS
817 //
818 //=================================================================================================
819 
820 //*************************************************************************************************
822 template< typename MT1, typename MT2 >
823 struct IsStrictlyLower< TSMatDMatSubExpr<MT1,MT2> >
824  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
825 {};
827 //*************************************************************************************************
828 
829 
830 
831 
832 //=================================================================================================
833 //
834 // ISUPPER SPECIALIZATIONS
835 //
836 //=================================================================================================
837 
838 //*************************************************************************************************
840 template< typename MT1, typename MT2 >
841 struct IsUpper< TSMatDMatSubExpr<MT1,MT2> >
842  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
843 {};
845 //*************************************************************************************************
846 
847 
848 
849 
850 //=================================================================================================
851 //
852 // ISUNIUPPER SPECIALIZATIONS
853 //
854 //=================================================================================================
855 
856 //*************************************************************************************************
858 template< typename MT1, typename MT2 >
859 struct IsUniUpper< TSMatDMatSubExpr<MT1,MT2> >
860  : public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
861 {};
863 //*************************************************************************************************
864 
865 
866 
867 
868 //=================================================================================================
869 //
870 // ISSTRICTLYUPPER SPECIALIZATIONS
871 //
872 //=================================================================================================
873 
874 //*************************************************************************************************
876 template< typename MT1, typename MT2 >
877 struct IsStrictlyUpper< TSMatDMatSubExpr<MT1,MT2> >
878  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
879 {};
881 //*************************************************************************************************
882 
883 
884 
885 
886 //=================================================================================================
887 //
888 // EXPRESSION TRAIT SPECIALIZATIONS
889 //
890 //=================================================================================================
891 
892 //*************************************************************************************************
894 template< typename MT1, typename MT2, typename MT3 >
895 struct DMatDMatAddExprTrait< TSMatDMatSubExpr<MT1,MT2>, MT3 >
896 {
897  public:
898  //**********************************************************************************************
900  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
901  IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
902  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
903  , typename DMatTSMatAddExprTrait< typename DMatDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
904  , INVALID_TYPE >::Type Type;
906  //**********************************************************************************************
907 };
909 //*************************************************************************************************
910 
911 
912 //*************************************************************************************************
914 template< typename MT1, typename MT2, typename MT3 >
915 struct DMatTDMatAddExprTrait< TSMatDMatSubExpr<MT1,MT2>, MT3 >
916 {
917  public:
918  //**********************************************************************************************
920  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
921  IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
922  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
923  , typename DMatTSMatAddExprTrait< typename TDMatDMatSubExprTrait<MT3,MT2>::Type, MT1 >::Type
924  , INVALID_TYPE >::Type Type;
926  //**********************************************************************************************
927 };
929 //*************************************************************************************************
930 
931 
932 //*************************************************************************************************
934 template< typename MT1, typename MT2, typename MT3 >
935 struct DMatDMatSubExprTrait< TSMatDMatSubExpr<MT1,MT2>, MT3 >
936 {
937  public:
938  //**********************************************************************************************
940  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
941  IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
942  IsDenseMatrix<MT3>::value && IsRowMajorMatrix<MT3>::value
943  , typename TSMatDMatSubExprTrait< MT1, typename DMatDMatAddExprTrait<MT2,MT3>::Type >::Type
944  , INVALID_TYPE >::Type Type;
946  //**********************************************************************************************
947 };
949 //*************************************************************************************************
950 
951 
952 //*************************************************************************************************
954 template< typename MT1, typename MT2, typename MT3 >
955 struct DMatTDMatSubExprTrait< TSMatDMatSubExpr<MT1,MT2>, MT3 >
956 {
957  public:
958  //**********************************************************************************************
960  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
961  IsDenseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
962  IsDenseMatrix<MT3>::value && IsColumnMajorMatrix<MT3>::value
963  , typename TSMatDMatSubExprTrait< MT1, typename DMatTDMatAddExprTrait<MT2,MT3>::Type >::Type
964  , INVALID_TYPE >::Type Type;
966  //**********************************************************************************************
967 };
969 //*************************************************************************************************
970 
971 
972 //*************************************************************************************************
974 template< typename MT1, typename MT2, bool AF >
975 struct SubmatrixExprTrait< TSMatDMatSubExpr<MT1,MT2>, AF >
976 {
977  public:
978  //**********************************************************************************************
979  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
980  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
981  //**********************************************************************************************
982 };
984 //*************************************************************************************************
985 
986 
987 //*************************************************************************************************
989 template< typename MT1, typename MT2 >
990 struct RowExprTrait< TSMatDMatSubExpr<MT1,MT2> >
991 {
992  public:
993  //**********************************************************************************************
994  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
995  , typename RowExprTrait<const MT2>::Type >::Type Type;
996  //**********************************************************************************************
997 };
999 //*************************************************************************************************
1000 
1001 
1002 //*************************************************************************************************
1004 template< typename MT1, typename MT2 >
1005 struct ColumnExprTrait< TSMatDMatSubExpr<MT1,MT2> >
1006 {
1007  public:
1008  //**********************************************************************************************
1009  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1010  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1011  //**********************************************************************************************
1012 };
1014 //*************************************************************************************************
1015 
1016 } // namespace blaze
1017 
1018 #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
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: TSMatDMatSubExpr.h:126
Header file for the Max class template.
TSMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatDMatSubExpr class.
Definition: TSMatDMatSubExpr.h:178
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.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:161
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 SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:152
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
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:158
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.
Constraints on the storage order of matrix types.
Header file for the IsUniLower type trait.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatDMatSubExpr.h:235
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.
RightOperand rightOperand() const
Returns the right-hand side dense matrix operand.
Definition: TSMatDMatSubExpr.h:255
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.
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
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatDMatSubExpr.h:209
#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.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatDMatSubExpr.h:147
Header file for the MatMatSubExpr base class.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatDMatSubExpr.h:225
Header file for the IsLower type trait.
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatDMatSubExpr.h:194
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:110
#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
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatDMatSubExpr.h:267
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
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:111
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
MT2::ReturnType RN2
Return type of the right-hand side dense matrix expression.
Definition: TSMatDMatSubExpr.h:113
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:288
Header file for the serial shim.
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: TSMatDMatSubExpr.h:287
TSMatDMatSubExpr< MT1, MT2 > This
Type of this TSMatDMatSubExpr instance.
Definition: TSMatDMatSubExpr.h:145
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
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:148
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.
MT1::ReturnType RN1
Return type of the left-hand side sparse matrix expression.
Definition: TSMatDMatSubExpr.h:112
Expression object for transpose sparse matrix-dense matrix subtractions.The TSMatDMatSubExpr class re...
Definition: Forward.h:151
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatDMatSubExpr.h:155
Constraints on the storage order of matrix types.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDMatSubExpr.h:280
#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
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatDMatSubExpr.h:149
Header file for the IsRowMajorMatrix type trait.
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
#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.
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatDMatSubExpr.h:146
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDMatSubExpr.h:245
#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.