DMatSMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATSMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
69 #include <blaze/util/Assert.h>
70 #include <blaze/util/EnableIf.h>
72 #include <blaze/util/mpl/And.h>
73 #include <blaze/util/mpl/If.h>
74 #include <blaze/util/mpl/Maximum.h>
75 #include <blaze/util/Types.h>
76 
77 
78 namespace blaze {
79 
80 //=================================================================================================
81 //
82 // CLASS DMATSMATSUBEXPR
83 //
84 //=================================================================================================
85 
86 //*************************************************************************************************
93 template< typename MT1 // Type of the left-hand side dense matrix
94  , typename MT2 // Type of the right-hand side sparse matrix
95  , bool SO > // Storage order
97  : public MatMatSubExpr< DenseMatrix< DMatSMatSubExpr<MT1,MT2,SO>, SO > >
98  , private Computation
99 {
100  private:
101  //**Type definitions****************************************************************************
106  //**********************************************************************************************
107 
108  //**Return type evaluation**********************************************************************
110 
115  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
116 
119  //**********************************************************************************************
120 
121  //**Parallel evaluation strategy****************************************************************
123 
128  template< typename MT >
129  struct UseSMPAssign {
130  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
131  };
133  //**********************************************************************************************
134 
135  public:
136  //**Type definitions****************************************************************************
142 
145 
147  using CompositeType = const ResultType;
148 
150  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
151 
153  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
154  //**********************************************************************************************
155 
156  //**Compilation flags***************************************************************************
158  enum : bool { simdEnabled = false };
159 
161  enum : bool { smpAssignable = false };
162  //**********************************************************************************************
163 
164  //**Constructor*********************************************************************************
170  explicit inline DMatSMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
171  : lhs_( lhs ) // Left-hand side dense matrix of the subtraction expression
172  , rhs_( rhs ) // Right-hand side sparse matrix of the subtraction expression
173  {
174  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
175  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
176  }
177  //**********************************************************************************************
178 
179  //**Access operator*****************************************************************************
186  inline ReturnType operator()( size_t i, size_t j ) const {
187  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
188  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
189  return lhs_(i,j) - rhs_(i,j);
190  }
191  //**********************************************************************************************
192 
193  //**At function*********************************************************************************
201  inline ReturnType at( size_t i, size_t j ) const {
202  if( i >= lhs_.rows() ) {
203  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
204  }
205  if( j >= lhs_.columns() ) {
206  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
207  }
208  return (*this)(i,j);
209  }
210  //**********************************************************************************************
211 
212  //**Rows function*******************************************************************************
217  inline size_t rows() const noexcept {
218  return lhs_.rows();
219  }
220  //**********************************************************************************************
221 
222  //**Columns function****************************************************************************
227  inline size_t columns() const noexcept {
228  return lhs_.columns();
229  }
230  //**********************************************************************************************
231 
232  //**Left operand access*************************************************************************
237  inline LeftOperand leftOperand() const noexcept {
238  return lhs_;
239  }
240  //**********************************************************************************************
241 
242  //**Right operand access************************************************************************
247  inline RightOperand rightOperand() const noexcept {
248  return rhs_;
249  }
250  //**********************************************************************************************
251 
252  //**********************************************************************************************
258  template< typename T >
259  inline bool canAlias( const T* alias ) const noexcept {
260  return ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
261  ( rhs_.canAlias( alias ) );
262  }
263  //**********************************************************************************************
264 
265  //**********************************************************************************************
271  template< typename T >
272  inline bool isAliased( const T* alias ) const noexcept {
273  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
274  }
275  //**********************************************************************************************
276 
277  private:
278  //**Member variables****************************************************************************
281  //**********************************************************************************************
282 
283  //**Assignment to dense matrices****************************************************************
295  template< typename MT // Type of the target dense matrix
296  , bool SO2 > // Storage order of the target dense matrix
297  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
298  {
300 
301  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
302  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
303 
304  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
305  subAssign( ~lhs, rhs.rhs_ );
306  }
307  else {
308  assign ( ~lhs, rhs.lhs_ );
309  subAssign( ~lhs, rhs.rhs_ );
310  }
311  }
313  //**********************************************************************************************
314 
315  //**Assignment to sparse matrices***************************************************************
327  template< typename MT // Type of the target sparse matrix
328  , bool SO2 > // Storage order of the target sparse matrix
329  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
330  {
332 
334 
341 
342  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
343  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
344 
345  const TmpType tmp( serial( rhs ) );
346  assign( ~lhs, tmp );
347  }
349  //**********************************************************************************************
350 
351  //**Addition assignment to dense matrices*******************************************************
363  template< typename MT // Type of the target dense matrix
364  , bool SO2 > // Storage order of the target dense matrix
365  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
366  {
368 
369  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
370  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
371 
372  addAssign( ~lhs, rhs.lhs_ );
373  subAssign( ~lhs, rhs.rhs_ );
374  }
376  //**********************************************************************************************
377 
378  //**Addition assignment to sparse matrices******************************************************
379  // No special implementation for the addition assignment to sparse matrices.
380  //**********************************************************************************************
381 
382  //**Subtraction assignment to dense matrices****************************************************
394  template< typename MT // Type of the target dense matrix
395  , bool SO2 > // Storage order of the target dense matrix
396  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
397  {
399 
400  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
401  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
402 
403  subAssign( ~lhs, rhs.lhs_ );
404  addAssign( ~lhs, rhs.rhs_ );
405  }
407  //**********************************************************************************************
408 
409  //**Subtraction assignment to sparse matrices***************************************************
410  // No special implementation for the subtraction assignment to sparse matrices.
411  //**********************************************************************************************
412 
413  //**Schur product assignment to dense matrices**************************************************
425  template< typename MT // Type of the target dense matrix
426  , bool SO2 > // Storage order of the target dense matrix
427  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
428  {
430 
434 
435  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
436  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
437 
438  const ResultType tmp( serial( rhs ) );
439  schurAssign( ~lhs, tmp );
440  }
442  //**********************************************************************************************
443 
444  //**Schur product assignment to sparse matrices*************************************************
445  // No special implementation for the Schur product assignment to sparse matrices.
446  //**********************************************************************************************
447 
448  //**Multiplication assignment to dense matrices*************************************************
449  // No special implementation for the multiplication assignment to dense matrices.
450  //**********************************************************************************************
451 
452  //**Multiplication assignment to sparse matrices************************************************
453  // No special implementation for the multiplication assignment to sparse matrices.
454  //**********************************************************************************************
455 
456  //**SMP assignment to dense matrices************************************************************
470  template< typename MT // Type of the target dense matrix
471  , bool SO2 > // Storage order of the target dense matrix
472  friend inline EnableIf_< UseSMPAssign<MT> >
473  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatSubExpr& rhs )
474  {
476 
477  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
478  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
479 
480  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
481  smpSubAssign( ~lhs, rhs.rhs_ );
482  }
483  else {
484  smpAssign ( ~lhs, rhs.lhs_ );
485  smpSubAssign( ~lhs, rhs.rhs_ );
486  }
487  }
489  //**********************************************************************************************
490 
491  //**SMP assignment to sparse matrices***********************************************************
505  template< typename MT // Type of the target sparse matrix
506  , bool SO2 > // Storage order of the target sparse matrix
507  friend inline EnableIf_< UseSMPAssign<MT> >
509  {
511 
513 
520 
521  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
522  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
523 
524  const TmpType tmp( rhs );
525  smpAssign( ~lhs, tmp );
526  }
528  //**********************************************************************************************
529 
530  //**SMP addition assignment to dense matrices***************************************************
544  template< typename MT // Type of the target dense matrix
545  , bool SO2 > // Storage order of the target dense matrix
546  friend inline EnableIf_< UseSMPAssign<MT> >
548  {
550 
551  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
552  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
553 
554  smpAddAssign( ~lhs, rhs.lhs_ );
555  smpSubAssign( ~lhs, rhs.rhs_ );
556  }
558  //**********************************************************************************************
559 
560  //**SMP addition assignment to sparse matrices**************************************************
561  // No special implementation for the SMP addition assignment to sparse matrices.
562  //**********************************************************************************************
563 
564  //**SMP subtraction assignment to dense matrices************************************************
578  template< typename MT // Type of the target dense matrix
579  , bool SO2 > // Storage order of the target dense matrix
580  friend inline EnableIf_< UseSMPAssign<MT> >
582  {
584 
585  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
586  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
587 
588  smpSubAssign( ~lhs, rhs.lhs_ );
589  smpAddAssign( ~lhs, rhs.rhs_ );
590  }
592  //**********************************************************************************************
593 
594  //**SMP subtraction assignment to sparse matrices***********************************************
595  // No special implementation for the SMP subtraction assignment to sparse matrices.
596  //**********************************************************************************************
597 
598  //**SMP Schur product assignment to dense matrices**********************************************
613  template< typename MT // Type of the target dense matrix
614  , bool SO2 > // Storage order of the target dense matrix
615  friend inline EnableIf_< UseSMPAssign<MT> >
617  {
619 
623 
624  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
625  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
626 
627  const ResultType tmp( rhs );
628  smpSchurAssign( ~lhs, tmp );
629  }
631  //**********************************************************************************************
632 
633  //**SMP Schur product assignment to sparse matrices*********************************************
634  // No special implementation for the SMP Schur product assignment to sparse matrices.
635  //**********************************************************************************************
636 
637  //**SMP multiplication assignment to dense matrices*********************************************
638  // No special implementation for the SMP multiplication assignment to dense matrices.
639  //**********************************************************************************************
640 
641  //**SMP multiplication assignment to sparse matrices********************************************
642  // No special implementation for the SMP multiplication assignment to sparse matrices.
643  //**********************************************************************************************
644 
645  //**Compile time checks*************************************************************************
652  //**********************************************************************************************
653 };
654 //*************************************************************************************************
655 
656 
657 
658 
659 //=================================================================================================
660 //
661 // GLOBAL BINARY ARITHMETIC OPERATORS
662 //
663 //=================================================================================================
664 
665 //*************************************************************************************************
694 template< typename MT1 // Type of the left-hand side dense matrix
695  , typename MT2 // Type of the right-hand side sparse matrix
696  , bool SO > // Storage order
697 inline decltype(auto)
698  operator-( const DenseMatrix<MT1,SO>& lhs, const SparseMatrix<MT2,SO>& rhs )
699 {
701 
702  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
703  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
704  }
705 
707  return ReturnType( ~lhs, ~rhs );
708 }
709 //*************************************************************************************************
710 
711 
712 
713 
714 //=================================================================================================
715 //
716 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
717 //
718 //=================================================================================================
719 
720 //*************************************************************************************************
733 template< typename MT1 // Type of the dense matrix of the left-hand side expression
734  , typename MT2 // Type of the sparse matrix of the left-hand side expression
735  , bool SO1 // Storage order of the left-hand side expression
736  , typename MT3 // Type of the right-hand side dense matrix
737  , bool SO2 > // Storage order of the right-hand side dense matrix
738 inline decltype(auto)
740 {
742 
743  return ( lhs.leftOperand() + (~rhs) ) - lhs.rightOperand();
744 }
746 //*************************************************************************************************
747 
748 
749 //*************************************************************************************************
762 template< typename MT1 // Type of the dense matrix of the left-hand side expression
763  , typename MT2 // Type of the sparse matrix of the left-hand side expression
764  , bool SO1 // Storage order of the left-hand side expression
765  , typename MT3 // Type of the right-hand side dense matrix
766  , bool SO2 > // Storage order of the right-hand side dense matrix
767 inline decltype(auto)
769 {
771 
772  return ( lhs.leftOperand() - (~rhs) ) - lhs.rightOperand();
773 }
775 //*************************************************************************************************
776 
777 
778 
779 
780 //=================================================================================================
781 //
782 // SIZE SPECIALIZATIONS
783 //
784 //=================================================================================================
785 
786 //*************************************************************************************************
788 template< typename MT1, typename MT2, bool SO >
789 struct Size< DMatSMatSubExpr<MT1,MT2,SO>, 0UL >
790  : public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
791 {};
792 
793 template< typename MT1, typename MT2, bool SO >
794 struct Size< DMatSMatSubExpr<MT1,MT2,SO>, 1UL >
795  : public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
796 {};
798 //*************************************************************************************************
799 
800 
801 
802 
803 //=================================================================================================
804 //
805 // ISSYMMETRIC SPECIALIZATIONS
806 //
807 //=================================================================================================
808 
809 //*************************************************************************************************
811 template< typename MT1, typename MT2, bool SO >
812 struct IsSymmetric< DMatSMatSubExpr<MT1,MT2,SO> >
813  : public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
814 {};
816 //*************************************************************************************************
817 
818 
819 
820 
821 //=================================================================================================
822 //
823 // ISHERMITIAN SPECIALIZATIONS
824 //
825 //=================================================================================================
826 
827 //*************************************************************************************************
829 template< typename MT1, typename MT2, bool SO >
830 struct IsHermitian< DMatSMatSubExpr<MT1,MT2,SO> >
831  : public And< IsHermitian<MT1>, IsHermitian<MT2> >
832 {};
834 //*************************************************************************************************
835 
836 
837 
838 
839 //=================================================================================================
840 //
841 // ISLOWER SPECIALIZATIONS
842 //
843 //=================================================================================================
844 
845 //*************************************************************************************************
847 template< typename MT1, typename MT2, bool SO >
848 struct IsLower< DMatSMatSubExpr<MT1,MT2,SO> >
849  : public And< IsLower<MT1>, IsLower<MT2> >
850 {};
852 //*************************************************************************************************
853 
854 
855 
856 
857 //=================================================================================================
858 //
859 // ISUNILOWER SPECIALIZATIONS
860 //
861 //=================================================================================================
862 
863 //*************************************************************************************************
865 template< typename MT1, typename MT2, bool SO >
866 struct IsUniLower< DMatSMatSubExpr<MT1,MT2,SO> >
867  : public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
868 {};
870 //*************************************************************************************************
871 
872 
873 
874 
875 //=================================================================================================
876 //
877 // ISSTRICTLYLOWER SPECIALIZATIONS
878 //
879 //=================================================================================================
880 
881 //*************************************************************************************************
883 template< typename MT1, typename MT2, bool SO >
884 struct IsStrictlyLower< DMatSMatSubExpr<MT1,MT2,SO> >
885  : public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
886 {};
888 //*************************************************************************************************
889 
890 
891 
892 
893 //=================================================================================================
894 //
895 // ISUPPER SPECIALIZATIONS
896 //
897 //=================================================================================================
898 
899 //*************************************************************************************************
901 template< typename MT1, typename MT2, bool SO >
902 struct IsUpper< DMatSMatSubExpr<MT1,MT2,SO> >
903  : public And< IsUpper<MT1>, IsUpper<MT2> >
904 {};
906 //*************************************************************************************************
907 
908 
909 
910 
911 //=================================================================================================
912 //
913 // ISUNIUPPER SPECIALIZATIONS
914 //
915 //=================================================================================================
916 
917 //*************************************************************************************************
919 template< typename MT1, typename MT2, bool SO >
920 struct IsUniUpper< DMatSMatSubExpr<MT1,MT2,SO> >
921  : public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
922 {};
924 //*************************************************************************************************
925 
926 
927 
928 
929 //=================================================================================================
930 //
931 // ISSTRICTLYUPPER SPECIALIZATIONS
932 //
933 //=================================================================================================
934 
935 //*************************************************************************************************
937 template< typename MT1, typename MT2, bool SO >
938 struct IsStrictlyUpper< DMatSMatSubExpr<MT1,MT2,SO> >
939  : public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
940 {};
942 //*************************************************************************************************
943 
944 } // namespace blaze
945 
946 #endif
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
RightOperand rhs_
Right-hand side sparse matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:280
Header file for auxiliary alias declarations.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:103
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
Header file for the subtraction trait.
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b) noexcept
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:949
Header file for basic type definitions.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSMatSubExpr.h:259
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:70
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatSubExpr.h:186
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:164
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSMatSubExpr.h:141
#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
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatSMatSubExpr.h:227
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:701
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSMatSubExpr.h:272
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:87
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:733
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:343
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:133
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:150
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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatSMatSubExpr.h:144
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:112
Constraint on the data type.
Constraint on the data type.
Header file for the Maximum class template.
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatSMatSubExpr.h:279
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: DMatSMatSubExpr.h:247
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:67
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:105
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatSMatSubExpr.h:147
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:102
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatSubExpr.h:139
#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.
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.
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatSMatSubExpr.h:138
Header file for the IsOperation type trait class.
Header file for the IsLower type trait.
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
Constraint on the data type.
Header file for all forward declarations for expression class templates.
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatSMatSubExpr.h:237
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatSMatSubExpr.h:118
Header file for run time assertion macros.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:104
Expression object for dense matrix-sparse matrix subtractions.The DMatSMatSubExpr class represents th...
Definition: DMatSMatSubExpr.h:96
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatSubExpr.h:201
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:154
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatSMatSubExpr.h:217
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:816
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
#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
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
DMatSMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatSMatSubExpr class.
Definition: DMatSMatSubExpr.h:170
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatSubExpr.h:140
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:291
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatSubExpr.h:102
Compile time logical &#39;and&#39; evaluation.The And alias declaration performs at compile time a logical &#39;a...
Definition: And.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:107
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
Header file for the Size type trait.
#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:61
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:95
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatSubExpr.h:153
Header file for the IsExpression type trait class.
Header file for the function trace functionality.