SMatDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
48 #include <blaze/math/Exception.h>
76 #include <blaze/util/Assert.h>
78 #include <blaze/util/EnableIf.h>
81 #include <blaze/util/InvalidType.h>
82 #include <blaze/util/mpl/And.h>
83 #include <blaze/util/mpl/If.h>
84 #include <blaze/util/mpl/Max.h>
85 #include <blaze/util/Types.h>
86 
87 
88 namespace blaze {
89 
90 //=================================================================================================
91 //
92 // CLASS SMATDMATSUBEXPR
93 //
94 //=================================================================================================
95 
96 //*************************************************************************************************
103 template< typename MT1 // Type of the left-hand side sparse matrix
104  , typename MT2 // Type of the right-hand side dense matrix
105  , bool SO > // Storage order
106 class SMatDMatSubExpr : public DenseMatrix< SMatDMatSubExpr<MT1,MT2,SO>, SO >
107  , private MatMatSubExpr
108  , private Computation
109 {
110  private:
111  //**Type definitions****************************************************************************
116  //**********************************************************************************************
117 
118  //**Return type evaluation**********************************************************************
120 
125  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
126 
129  //**********************************************************************************************
130 
131  //**Parallel evaluation strategy****************************************************************
133 
138  template< typename MT >
139  struct UseSMPAssign {
140  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
141  };
143  //**********************************************************************************************
144 
145  public:
146  //**Type definitions****************************************************************************
152 
155 
157  typedef const ResultType CompositeType;
158 
160  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
161 
163  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
164  //**********************************************************************************************
165 
166  //**Compilation flags***************************************************************************
168  enum : bool { simdEnabled = false };
169 
171  enum : bool { smpAssignable = false };
172  //**********************************************************************************************
173 
174  //**Constructor*********************************************************************************
180  explicit inline SMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
181  : lhs_( lhs ) // Left-hand side sparse matrix of the subtraction expression
182  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
183  {
184  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
185  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
186  }
187  //**********************************************************************************************
188 
189  //**Access operator*****************************************************************************
196  inline ReturnType operator()( size_t i, size_t j ) const {
197  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
198  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
199  return lhs_(i,j) - rhs_(i,j);
200  }
201  //**********************************************************************************************
202 
203  //**At function*********************************************************************************
211  inline ReturnType at( size_t i, size_t j ) const {
212  if( i >= lhs_.rows() ) {
213  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
214  }
215  if( j >= lhs_.columns() ) {
216  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
217  }
218  return (*this)(i,j);
219  }
220  //**********************************************************************************************
221 
222  //**Rows function*******************************************************************************
227  inline size_t rows() const noexcept {
228  return lhs_.rows();
229  }
230  //**********************************************************************************************
231 
232  //**Columns function****************************************************************************
237  inline size_t columns() const noexcept {
238  return lhs_.columns();
239  }
240  //**********************************************************************************************
241 
242  //**Left operand access*************************************************************************
247  inline LeftOperand leftOperand() const noexcept {
248  return lhs_;
249  }
250  //**********************************************************************************************
251 
252  //**Right operand access************************************************************************
257  inline RightOperand rightOperand() const noexcept {
258  return rhs_;
259  }
260  //**********************************************************************************************
261 
262  //**********************************************************************************************
268  template< typename T >
269  inline bool canAlias( const T* alias ) const noexcept {
270  return ( lhs_.canAlias( alias ) ) ||
271  ( IsExpression<MT2>::value && rhs_.canAlias( alias ) );
272  }
273  //**********************************************************************************************
274 
275  //**********************************************************************************************
281  template< typename T >
282  inline bool isAliased( const T* alias ) const noexcept {
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 SMatDMatSubExpr& rhs )
308  {
310 
311  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
312  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
313 
314  assign ( ~lhs, -rhs.rhs_ );
315  addAssign( ~lhs, rhs.lhs_ );
316  }
318  //**********************************************************************************************
319 
320  //**Assignment to sparse matrices***************************************************************
332  template< typename MT // Type of the target sparse matrix
333  , bool SO2 > // Storage order of the target sparse matrix
334  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
335  {
337 
339 
346 
347  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
348  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
349 
350  const TmpType tmp( serial( rhs ) );
351  assign( ~lhs, tmp );
352  }
354  //**********************************************************************************************
355 
356  //**Addition assignment to dense matrices*******************************************************
368  template< typename MT // Type of the target dense matrix
369  , bool SO2 > // Storage order of the target dense matrix
370  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& rhs )
371  {
373 
374  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
375  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
376 
377  subAssign( ~lhs, rhs.rhs_ );
378  addAssign( ~lhs, rhs.lhs_ );
379  }
381  //**********************************************************************************************
382 
383  //**Addition assignment to sparse matrices******************************************************
384  // No special implementation for the addition assignment to sparse matrices.
385  //**********************************************************************************************
386 
387  //**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 SMatDMatSubExpr& 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 EnableIf_< UseSMPAssign<MT> >
443  smpAssign( DenseMatrix<MT,SO2>& lhs, const SMatDMatSubExpr& 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 EnableIf_< UseSMPAssign<MT> >
474  {
476 
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***************************************************
509  template< typename MT // Type of the target dense matrix
510  , bool SO2 > // Storage order of the target dense matrix
511  friend inline EnableIf_< UseSMPAssign<MT> >
513  {
515 
516  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
517  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
518 
519  smpSubAssign( ~lhs, rhs.rhs_ );
520  smpAddAssign( ~lhs, rhs.lhs_ );
521  }
523  //**********************************************************************************************
524 
525  //**SMP addition assignment to sparse matrices**************************************************
526  // No special implementation for the SMP addition assignment to sparse matrices.
527  //**********************************************************************************************
528 
529  //**SMP subtraction assignment to dense matrices************************************************
543  template< typename MT // Type of the target dense matrix
544  , bool SO2 > // Storage order of the target dense matrix
545  friend inline EnableIf_< UseSMPAssign<MT> >
547  {
549 
550  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
551  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
552 
553  smpAddAssign( ~lhs, rhs.rhs_ );
554  smpSubAssign( ~lhs, rhs.lhs_ );
555  }
557  //**********************************************************************************************
558 
559  //**SMP subtraction assignment to sparse matrices***********************************************
560  // No special implementation for the SMP subtraction assignment to sparse matrices.
561  //**********************************************************************************************
562 
563  //**SMP multiplication assignment to dense matrices*********************************************
564  // No special implementation for the SMP multiplication assignment to dense matrices.
565  //**********************************************************************************************
566 
567  //**SMP multiplication assignment to sparse matrices********************************************
568  // No special implementation for the SMP multiplication assignment to sparse matrices.
569  //**********************************************************************************************
570 
571  //**Compile time checks*************************************************************************
578  //**********************************************************************************************
579 };
580 //*************************************************************************************************
581 
582 
583 
584 
585 //=================================================================================================
586 //
587 // GLOBAL BINARY ARITHMETIC OPERATORS
588 //
589 //=================================================================================================
590 
591 //*************************************************************************************************
620 template< typename T1 // Type of the left-hand side sparse matrix
621  , typename T2 // Type of the right-hand side dense matrix
622  , bool SO > // Storage order
623 inline const SMatDMatSubExpr<T1,T2,SO>
625 {
627 
628  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
629  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
630  }
631 
632  return SMatDMatSubExpr<T1,T2,SO>( ~lhs, ~rhs );
633 }
634 //*************************************************************************************************
635 
636 
637 
638 
639 //=================================================================================================
640 //
641 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
642 //
643 //=================================================================================================
644 
645 //*************************************************************************************************
658 template< typename T1 // Type of the sparse matrix of the left-hand side expression
659  , typename T2 // Type of the dense matrix of the left-hand side expression
660  , bool SO1 // Storage order of the left-hand side expression
661  , typename T3 // Type of the right-hand side dense matrix
662  , bool SO2 > // Storage order of the right-hand side dense matrix
665 {
667 
668  return ( (~rhs) - lhs.rightOperand() ) + lhs.leftOperand();
669 }
671 //*************************************************************************************************
672 
673 
674 //*************************************************************************************************
687 template< typename T1 // Type of the sparse matrix of the left-hand side expression
688  , typename T2 // Type of the dense matrix of the left-hand side expression
689  , bool SO1 // Storage order of the left-hand side expression
690  , typename T3 // Type of the right-hand side dense matrix
691  , bool SO2 > // Storage order of the right-hand side dense matrix
694 {
696 
697  return lhs.leftOperand() - ( lhs.rightOperand() + (~rhs) );
698 }
700 //*************************************************************************************************
701 
702 
703 
704 
705 //=================================================================================================
706 //
707 // ROWS SPECIALIZATIONS
708 //
709 //=================================================================================================
710 
711 //*************************************************************************************************
713 template< typename MT1, typename MT2, bool SO >
714 struct Rows< SMatDMatSubExpr<MT1,MT2,SO> >
715  : public Max< Rows<MT1>, Rows<MT2> >
716 {};
718 //*************************************************************************************************
719 
720 
721 
722 
723 //=================================================================================================
724 //
725 // COLUMNS SPECIALIZATIONS
726 //
727 //=================================================================================================
728 
729 //*************************************************************************************************
731 template< typename MT1, typename MT2, bool SO >
732 struct Columns< SMatDMatSubExpr<MT1,MT2,SO> >
733  : public Max< Columns<MT1>, Columns<MT2> >
734 {};
736 //*************************************************************************************************
737 
738 
739 
740 
741 //=================================================================================================
742 //
743 // ISSYMMETRIC SPECIALIZATIONS
744 //
745 //=================================================================================================
746 
747 //*************************************************************************************************
749 template< typename MT1, typename MT2, bool SO >
750 struct IsSymmetric< SMatDMatSubExpr<MT1,MT2,SO> >
751  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
752 {};
754 //*************************************************************************************************
755 
756 
757 
758 
759 //=================================================================================================
760 //
761 // ISHERMITIAN SPECIALIZATIONS
762 //
763 //=================================================================================================
764 
765 //*************************************************************************************************
767 template< typename MT1, typename MT2, bool SO >
768 struct IsHermitian< SMatDMatSubExpr<MT1,MT2,SO> >
769  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
770 {};
772 //*************************************************************************************************
773 
774 
775 
776 
777 //=================================================================================================
778 //
779 // ISLOWER SPECIALIZATIONS
780 //
781 //=================================================================================================
782 
783 //*************************************************************************************************
785 template< typename MT1, typename MT2, bool SO >
786 struct IsLower< SMatDMatSubExpr<MT1,MT2,SO> >
787  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
788 {};
790 //*************************************************************************************************
791 
792 
793 
794 
795 //=================================================================================================
796 //
797 // ISUNILOWER SPECIALIZATIONS
798 //
799 //=================================================================================================
800 
801 //*************************************************************************************************
803 template< typename MT1, typename MT2, bool SO >
804 struct IsUniLower< SMatDMatSubExpr<MT1,MT2,SO> >
805  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
806 {};
808 //*************************************************************************************************
809 
810 
811 
812 
813 //=================================================================================================
814 //
815 // ISSTRICTLYLOWER SPECIALIZATIONS
816 //
817 //=================================================================================================
818 
819 //*************************************************************************************************
821 template< typename MT1, typename MT2, bool SO >
822 struct IsStrictlyLower< SMatDMatSubExpr<MT1,MT2,SO> >
823  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
824 {};
826 //*************************************************************************************************
827 
828 
829 
830 
831 //=================================================================================================
832 //
833 // ISUPPER SPECIALIZATIONS
834 //
835 //=================================================================================================
836 
837 //*************************************************************************************************
839 template< typename MT1, typename MT2, bool SO >
840 struct IsUpper< SMatDMatSubExpr<MT1,MT2,SO> >
841  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
842 {};
844 //*************************************************************************************************
845 
846 
847 
848 
849 //=================================================================================================
850 //
851 // ISUNIUPPER SPECIALIZATIONS
852 //
853 //=================================================================================================
854 
855 //*************************************************************************************************
857 template< typename MT1, typename MT2, bool SO >
858 struct IsUniUpper< SMatDMatSubExpr<MT1,MT2,SO> >
859  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
860 {};
862 //*************************************************************************************************
863 
864 
865 
866 
867 //=================================================================================================
868 //
869 // ISSTRICTLYUPPER SPECIALIZATIONS
870 //
871 //=================================================================================================
872 
873 //*************************************************************************************************
875 template< typename MT1, typename MT2, bool SO >
876 struct IsStrictlyUpper< SMatDMatSubExpr<MT1,MT2,SO> >
877  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
878 {};
880 //*************************************************************************************************
881 
882 
883 
884 
885 //=================================================================================================
886 //
887 // EXPRESSION TRAIT SPECIALIZATIONS
888 //
889 //=================================================================================================
890 
891 //*************************************************************************************************
893 template< typename MT1, typename MT2, typename MT3 >
894 struct DMatDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
895 {
896  public:
897  //**********************************************************************************************
903  , INVALID_TYPE >;
905  //**********************************************************************************************
906 };
908 //*************************************************************************************************
909 
910 
911 //*************************************************************************************************
913 template< typename MT1, typename MT2, typename MT3 >
914 struct DMatTDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
915 {
916  public:
917  //**********************************************************************************************
923  , INVALID_TYPE >;
925  //**********************************************************************************************
926 };
928 //*************************************************************************************************
929 
930 
931 //*************************************************************************************************
933 template< typename MT1, typename MT2, typename MT3 >
934 struct TDMatDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
935 {
936  public:
937  //**********************************************************************************************
943  , INVALID_TYPE >;
945  //**********************************************************************************************
946 };
948 //*************************************************************************************************
949 
950 
951 //*************************************************************************************************
953 template< typename MT1, typename MT2, typename MT3 >
954 struct TDMatTDMatAddExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
955 {
956  public:
957  //**********************************************************************************************
963  , INVALID_TYPE >;
965  //**********************************************************************************************
966 };
968 //*************************************************************************************************
969 
970 
971 //*************************************************************************************************
973 template< typename MT1, typename MT2, typename MT3 >
974 struct DMatDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
975 {
976  public:
977  //**********************************************************************************************
983  , INVALID_TYPE >;
985  //**********************************************************************************************
986 };
988 //*************************************************************************************************
989 
990 
991 //*************************************************************************************************
993 template< typename MT1, typename MT2, typename MT3 >
994 struct DMatTDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,false>, MT3 >
995 {
996  public:
997  //**********************************************************************************************
1003  , INVALID_TYPE >;
1005  //**********************************************************************************************
1006 };
1008 //*************************************************************************************************
1009 
1010 
1011 //*************************************************************************************************
1013 template< typename MT1, typename MT2, typename MT3 >
1014 struct TDMatDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
1015 {
1016  public:
1017  //**********************************************************************************************
1023  , INVALID_TYPE >;
1025  //**********************************************************************************************
1026 };
1028 //*************************************************************************************************
1029 
1030 
1031 //*************************************************************************************************
1033 template< typename MT1, typename MT2, typename MT3 >
1034 struct TDMatTDMatSubExprTrait< SMatDMatSubExpr<MT1,MT2,true>, MT3 >
1035 {
1036  public:
1037  //**********************************************************************************************
1043  , INVALID_TYPE >;
1045  //**********************************************************************************************
1046 };
1048 //*************************************************************************************************
1049 
1050 
1051 //*************************************************************************************************
1053 template< typename MT1, typename MT2, bool SO, bool AF >
1054 struct SubmatrixExprTrait< SMatDMatSubExpr<MT1,MT2,SO>, AF >
1055 {
1056  public:
1057  //**********************************************************************************************
1060  //**********************************************************************************************
1061 };
1063 //*************************************************************************************************
1064 
1065 
1066 //*************************************************************************************************
1068 template< typename MT1, typename MT2, bool SO >
1069 struct RowExprTrait< SMatDMatSubExpr<MT1,MT2,SO> >
1070 {
1071  public:
1072  //**********************************************************************************************
1075  //**********************************************************************************************
1076 };
1078 //*************************************************************************************************
1079 
1080 
1081 //*************************************************************************************************
1083 template< typename MT1, typename MT2, bool SO >
1084 struct ColumnExprTrait< SMatDMatSubExpr<MT1,MT2,SO> >
1085 {
1086  public:
1087  //**********************************************************************************************
1090  //**********************************************************************************************
1091 };
1093 //*************************************************************************************************
1094 
1095 } // namespace blaze
1096 
1097 #endif
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
Header file for the Max class template.
Evaluation of the expression type of a dense matrix/transpose dense matrix subtraction.Via this type trait it is possible to evaluate the resulting expression type of a dense matrix/transpose dense matrix subtraction. Given the row-major dense matrix type MT1 and the column-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a row-major dense matrix type or MT2 is not a column-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: DMatTDMatSubExprTrait.h:81
SMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatDMatSubExpr class.
Definition: SMatDMatSubExpr.h:180
Evaluation of the expression type of a transpose dense matrix/dense matrix subtraction.Via this type trait it is possible to evaluate the resulting expression type of a transpose dense matrix/dense matrix subtraction. Given the column-major dense matrix type MT1 and the row-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a column-major dense matrix type or MT2 is not a row-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TDMatDMatSubExprTrait.h:80
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: SMatDMatSubExpr.h:128
Header file for the IsUniUpper type trait.
Evaluation of the expression type of a dense matrix/dense matrix subtraction.Via this type trait it i...
Definition: DMatDMatSubExprTrait.h:76
Header file for the subtraction trait.
Header file for basic type definitions.
Evaluation of the expression type of a dense matrix/dense matrix addition.Via this type trait it is p...
Definition: DMatDMatAddExprTrait.h:76
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:160
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:163
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: SMatDMatSubExpr.h:154
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the IsSparseMatrix type trait.
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:63
typename SMatDMatSubExprTrait< MT1, MT2 >::Type SMatDMatSubExprTrait_
Auxiliary alias declaration for the SMatDMatSubExprTrait class template.The SMatDMatSubExprTrait_ ali...
Definition: SMatDMatSubExprTrait.h:118
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
Header file for the ColumnExprTrait class template.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatDMatSubExpr.h:211
Header file for the IsColumnMajorMatrix type trait.
const DenseIterator< Type, AF > operator+(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:699
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatDMatSubExpr.h:269
Header file for the And class template.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
LeftOperand lhs_
Left-hand side sparse matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:289
Header file for the AddExprTrait class template.
Evaluation of the expression type of a dense matrix/transpose dense matrix addition.Via this type trait it is possible to evaluate the resulting expression type of a dense matrix/transpose dense matrix addition. Given the row-major dense matrix type MT1 and the column-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a row-major dense matrix type or MT2 is not a column-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: DMatTDMatAddExprTrait.h:81
typename TDMatTSMatAddExprTrait< MT1, MT2 >::Type TDMatTSMatAddExprTrait_
Auxiliary alias declaration for the TDMatTSMatAddExprTrait class template.The TDMatTSMatAddExprTrait_...
Definition: TDMatTSMatAddExprTrait.h:120
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatDMatSubExpr.h:237
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: SMatDMatSubExpr.h:290
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.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatDMatSubExpr.h:282
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:112
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatDMatSubExpr.h:150
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
Constraint on the data type.
Constraint on the data type.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatDMatSubExpr.h:151
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatDMatSubExpr.h:196
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Expression object for sparse matrix-dense matrix subtractions.The SMatDMatSubExpr class represents th...
Definition: Forward.h:101
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Evaluation of the expression type of a transpose dense matrix/dense matrix addition.Via this type trait it is possible to evaluate the resulting expression type of a transpose dense matrix/dense matrix addition. Given the column-major dense matrix type MT1 and the row-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a column-major dense matrix type or MT2 is not a row-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TDMatDMatAddExprTrait.h:80
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatDMatSubExpr.h:148
typename RowExprTrait< MT >::Type RowExprTrait_
Auxiliary alias declaration for the RowExprTrait type trait.The RowExprTrait_ alias declaration provi...
Definition: RowExprTrait.h:134
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
typename TSMatDMatSubExprTrait< MT1, MT2 >::Type TSMatDMatSubExprTrait_
Auxiliary alias declaration for the TSMatDMatSubExprTrait class template.The TSMatDMatSubExprTrait_ a...
Definition: TSMatDMatSubExprTrait.h:119
Header file for the IsSymmetric type trait.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:219
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
typename DMatSMatAddExprTrait< MT1, MT2 >::Type DMatSMatAddExprTrait_
Auxiliary alias declaration for the DMatSMatAddExprTrait class template.The DMatSMatAddExprTrait_ ali...
Definition: DMatSMatAddExprTrait.h:118
Header file for the If class template.
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:83
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for the MatMatSubExpr base class.
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatDMatSubExpr.h:247
Header file for the IsLower type trait.
ReturnType_< MT1 > RN1
Return type of the left-hand side sparse matrix expression.
Definition: SMatDMatSubExpr.h:114
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
Compile time check for dense matrix types.This type trait tests whether or not the given template par...
Definition: IsDenseMatrix.h:78
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.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
Header file for the SubmatrixExprTrait class template.
Header file for run time assertion macros.
Compile time check for column-major matrix types.This type trait tests whether or not the given templ...
Definition: IsColumnMajorMatrix.h:83
Utility type for generic codes.
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
typename DMatTSMatAddExprTrait< MT1, MT2 >::Type DMatTSMatAddExprTrait_
Auxiliary alias declaration for the DMatTSMatAddExprTrait class template.The DMatTSMatAddExprTrait_ a...
Definition: DMatTSMatAddExprTrait.h:120
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatDMatSubExpr.h:227
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:115
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: SMatDMatSubExpr.h:257
Evaluation of the expression type of a transpose dense matrix/transpose dense matrix subtraction...
Definition: TDMatTDMatSubExprTrait.h:77
SMatDMatSubExpr< MT1, MT2, SO > This
Type of this SMatDMatSubExpr instance.
Definition: SMatDMatSubExpr.h:147
Header file for the IsRowMajorMatrix type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatDMatSubExpr.h:149
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatDMatSubExpr.h:157
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:76
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:109
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
Evaluation of the expression type of a transpose dense matrix/transpose dense matrix addition...
Definition: TDMatTDMatAddExprTrait.h:77
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
typename TSMatTDMatSubExprTrait< MT1, MT2 >::Type TSMatTDMatSubExprTrait_
Auxiliary alias declaration for the TSMatTDMatSubExprTrait class template.The TSMatTDMatSubExprTrait_...
Definition: TSMatTDMatSubExprTrait.h:120
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#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
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: SMatDMatSubExpr.h:113
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
Header file for the IsExpression type trait class.
Header file for the function trace functionality.