DMatSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATSMATADDEXPR_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/mpl/Or.h>
76 #include <blaze/util/Types.h>
77 
78 
79 namespace blaze {
80 
81 //=================================================================================================
82 //
83 // CLASS DMATSMATADDEXPR
84 //
85 //=================================================================================================
86 
87 //*************************************************************************************************
94 template< typename MT1 // Type of the left-hand side dense matrix
95  , typename MT2 // Type of the right-hand side sparse matrix
96  , bool SO > // Storage order
98  : public MatMatAddExpr< DenseMatrix< DMatSMatAddExpr<MT1,MT2,SO>, SO > >
99  , private Computation
100 {
101  private:
102  //**Type definitions****************************************************************************
107  //**********************************************************************************************
108 
109  //**Return type evaluation**********************************************************************
111 
116  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
117 
120  //**********************************************************************************************
121 
122  //**Parallel evaluation strategy****************************************************************
124 
129  template< typename MT >
130  struct UseSMPAssign {
131  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
132  };
134  //**********************************************************************************************
135 
136  public:
137  //**Type definitions****************************************************************************
143 
146 
148  using CompositeType = const ResultType;
149 
151  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
152 
154  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
155  //**********************************************************************************************
156 
157  //**Compilation flags***************************************************************************
159  enum : bool { simdEnabled = false };
160 
162  enum : bool { smpAssignable = false };
163  //**********************************************************************************************
164 
165  //**Constructor*********************************************************************************
171  explicit inline DMatSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
172  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
173  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
174  {
175  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
176  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
177  }
178  //**********************************************************************************************
179 
180  //**Access operator*****************************************************************************
187  inline ReturnType operator()( size_t i, size_t j ) const {
188  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
189  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
190  return lhs_(i,j) + rhs_(i,j);
191  }
192  //**********************************************************************************************
193 
194  //**At function*********************************************************************************
202  inline ReturnType at( size_t i, size_t j ) const {
203  if( i >= lhs_.rows() ) {
204  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
205  }
206  if( j >= lhs_.columns() ) {
207  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
208  }
209  return (*this)(i,j);
210  }
211  //**********************************************************************************************
212 
213  //**Rows function*******************************************************************************
218  inline size_t rows() const noexcept {
219  return lhs_.rows();
220  }
221  //**********************************************************************************************
222 
223  //**Columns function****************************************************************************
228  inline size_t columns() const noexcept {
229  return lhs_.columns();
230  }
231  //**********************************************************************************************
232 
233  //**Left operand access*************************************************************************
238  inline LeftOperand leftOperand() const {
239  return lhs_;
240  }
241  //**********************************************************************************************
242 
243  //**Right operand access************************************************************************
248  inline RightOperand rightOperand() const noexcept {
249  return rhs_;
250  }
251  //**********************************************************************************************
252 
253  //**********************************************************************************************
259  template< typename T >
260  inline bool canAlias( const T* alias ) const noexcept {
261  return ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
262  ( rhs_.canAlias( alias ) );
263  }
264  //**********************************************************************************************
265 
266  //**********************************************************************************************
272  template< typename T >
273  inline bool isAliased( const T* alias ) const noexcept {
274  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
275  }
276  //**********************************************************************************************
277 
278  private:
279  //**Member variables****************************************************************************
282  //**********************************************************************************************
283 
284  //**Assignment to dense matrices****************************************************************
296  template< typename MT // Type of the target dense matrix
297  , bool SO2 > // Storage order of the target dense matrix
298  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
299  {
301 
302  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
303  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
304 
305  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
306  addAssign( ~lhs, rhs.rhs_ );
307  }
308  else {
309  assign ( ~lhs, rhs.lhs_ );
310  addAssign( ~lhs, rhs.rhs_ );
311  }
312  }
314  //**********************************************************************************************
315 
316  //**Assignment to sparse matrices***************************************************************
328  template< typename MT // Type of the target sparse matrix
329  , bool SO2 > // Storage order of the target sparse matrix
330  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
331  {
333 
335 
342 
343  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
344  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
345 
346  const TmpType tmp( serial( rhs ) );
347  assign( ~lhs, tmp );
348  }
350  //**********************************************************************************************
351 
352  //**Addition assignment to dense matrices*******************************************************
364  template< typename MT // Type of the target dense matrix
365  , bool SO2 > // Storage order of the target dense matrix
366  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
367  {
369 
370  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
371  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
372 
373  addAssign( ~lhs, rhs.lhs_ );
374  addAssign( ~lhs, rhs.rhs_ );
375  }
377  //**********************************************************************************************
378 
379  //**Addition assignment to sparse matrices******************************************************
380  // No special implementation for the addition assignment to sparse matrices.
381  //**********************************************************************************************
382 
383  //**Subtraction assignment to dense matrices****************************************************
395  template< typename MT // Type of the target dense matrix
396  , bool SO2 > // Storage order of the target dense matrix
397  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
398  {
400 
401  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
402  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
403 
404  subAssign( ~lhs, rhs.lhs_ );
405  subAssign( ~lhs, rhs.rhs_ );
406  }
408  //**********************************************************************************************
409 
410  //**Subtraction assignment to sparse matrices***************************************************
411  // No special implementation for the subtraction assignment to sparse matrices.
412  //**********************************************************************************************
413 
414  //**Schur product assignment to dense matrices**************************************************
426  template< typename MT // Type of the target dense matrix
427  , bool SO2 > // Storage order of the target dense matrix
428  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
429  {
431 
435 
436  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
437  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
438 
439  const ResultType tmp( serial( rhs ) );
440  schurAssign( ~lhs, tmp );
441  }
443  //**********************************************************************************************
444 
445  //**Schur product assignment to sparse matrices*************************************************
446  // No special implementation for the Schur product assignment to sparse matrices.
447  //**********************************************************************************************
448 
449  //**Multiplication assignment to dense matrices*************************************************
450  // No special implementation for the multiplication assignment to dense matrices.
451  //**********************************************************************************************
452 
453  //**Multiplication assignment to sparse matrices************************************************
454  // No special implementation for the multiplication assignment to sparse matrices.
455  //**********************************************************************************************
456 
457  //**SMP assignment to dense matrices************************************************************
471  template< typename MT // Type of the target dense matrix
472  , bool SO2 > // Storage order of the target dense matrix
473  friend inline EnableIf_< UseSMPAssign<MT> >
474  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
475  {
477 
478  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
479  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
480 
481  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
482  smpAddAssign( ~lhs, rhs.rhs_ );
483  }
484  else {
485  smpAssign ( ~lhs, rhs.lhs_ );
486  smpAddAssign( ~lhs, rhs.rhs_ );
487  }
488  }
490  //**********************************************************************************************
491 
492  //**SMP assignment to sparse matrices***********************************************************
506  template< typename MT // Type of the target sparse matrix
507  , bool SO2 > // Storage order of the target sparse matrix
508  friend inline EnableIf_< UseSMPAssign<MT> >
510  {
512 
514 
521 
522  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
523  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
524 
525  const TmpType tmp( rhs );
526  smpAssign( ~lhs, tmp );
527  }
529  //**********************************************************************************************
530 
531  //**SMP addition 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 EnableIf_< UseSMPAssign<MT> >
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.lhs_ );
556  smpAddAssign( ~lhs, rhs.rhs_ );
557  }
559  //**********************************************************************************************
560 
561  //**SMP addition assignment to sparse matrices**************************************************
562  // No special implementation for the SMP addition assignment to sparse matrices.
563  //**********************************************************************************************
564 
565  //**SMP subtraction assignment to dense matrices************************************************
579  template< typename MT // Type of the target dense matrix
580  , bool SO2 > // Storage order of the target dense matrix
581  friend inline EnableIf_< UseSMPAssign<MT> >
583  {
585 
586  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
587  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
588 
589  smpSubAssign( ~lhs, rhs.lhs_ );
590  smpSubAssign( ~lhs, rhs.rhs_ );
591  }
593  //**********************************************************************************************
594 
595  //**SMP subtraction assignment to sparse matrices***********************************************
596  // No special implementation for the SMP subtraction assignment to sparse matrices.
597  //**********************************************************************************************
598 
599  //**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 subtraction assignment to sparse matrices***********************************************
634  // No special implementation for the SMP subtraction 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 //*************************************************************************************************
691 template< typename MT1 // Type of the left-hand side dense matrix
692  , typename MT2 // Type of the right-hand side sparse matrix
693  , bool SO > // Storage order
694 inline decltype(auto)
695  operator+( const DenseMatrix<MT1,SO>& lhs, const SparseMatrix<MT2,SO>& rhs )
696 {
698 
699  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
700  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
701  }
702 
704  return ReturnType( ~lhs, ~rhs );
705 }
706 //*************************************************************************************************
707 
708 
709 //*************************************************************************************************
735 template< typename MT1 // Type of the left-hand side sparse matrix
736  , typename MT2 // Type of the right-hand side dense matrix
737  , bool SO > // Storage order
738 inline decltype(auto)
739  operator+( const SparseMatrix<MT1,SO>& lhs, const DenseMatrix<MT2,SO>& rhs )
740 {
742 
743  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
744  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
745  }
746 
748  return ReturnType( ~rhs, ~lhs );
749 }
750 //*************************************************************************************************
751 
752 
753 
754 
755 //=================================================================================================
756 //
757 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
758 //
759 //=================================================================================================
760 
761 //*************************************************************************************************
774 template< typename MT1 // Type of the dense matrix of the left-hand side expression
775  , typename MT2 // Type of the sparse matrix of the left-hand side expression
776  , bool SO1 // Storage order of the left-hand side expression
777  , typename MT3 // Type of the right-hand side dense matrix
778  , bool SO2 > // Storage order of the right-hand side dense matrix
779 inline decltype(auto)
781 {
783 
784  return ( lhs.leftOperand() + (~rhs) ) + lhs.rightOperand();
785 }
787 //*************************************************************************************************
788 
789 
790 //*************************************************************************************************
803 template< typename MT1 // Type of the dense matrix of the left-hand side expression
804  , typename MT2 // Type of the sparse matrix of the left-hand side expression
805  , bool SO1 // Storage order of the left-hand side expression
806  , typename MT3 // Type of the right-hand side dense matrix
807  , bool SO2 > // Storage order of the right-hand side dense matrix
808 inline decltype(auto)
810 {
812 
813  return ( lhs.leftOperand() - (~rhs) ) + lhs.rightOperand();
814 }
816 //*************************************************************************************************
817 
818 
819 
820 
821 //=================================================================================================
822 //
823 // SIZE SPECIALIZATIONS
824 //
825 //=================================================================================================
826 
827 //*************************************************************************************************
829 template< typename MT1, typename MT2, bool SO >
830 struct Size< DMatSMatAddExpr<MT1,MT2,SO>, 0UL >
831  : public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
832 {};
833 
834 template< typename MT1, typename MT2, bool SO >
835 struct Size< DMatSMatAddExpr<MT1,MT2,SO>, 1UL >
836  : public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
837 {};
839 //*************************************************************************************************
840 
841 
842 
843 
844 //=================================================================================================
845 //
846 // ISSYMMETRIC SPECIALIZATIONS
847 //
848 //=================================================================================================
849 
850 //*************************************************************************************************
852 template< typename MT1, typename MT2, bool SO >
853 struct IsSymmetric< DMatSMatAddExpr<MT1,MT2,SO> >
854  : public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
855 {};
857 //*************************************************************************************************
858 
859 
860 
861 
862 //=================================================================================================
863 //
864 // ISHERMITIAN SPECIALIZATIONS
865 //
866 //=================================================================================================
867 
868 //*************************************************************************************************
870 template< typename MT1, typename MT2, bool SO >
871 struct IsHermitian< DMatSMatAddExpr<MT1,MT2,SO> >
872  : public And< IsHermitian<MT1>, IsHermitian<MT2> >
873 {};
875 //*************************************************************************************************
876 
877 
878 
879 
880 //=================================================================================================
881 //
882 // ISLOWER SPECIALIZATIONS
883 //
884 //=================================================================================================
885 
886 //*************************************************************************************************
888 template< typename MT1, typename MT2, bool SO >
889 struct IsLower< DMatSMatAddExpr<MT1,MT2,SO> >
890  : public And< IsLower<MT1>, IsLower<MT2> >
891 {};
893 //*************************************************************************************************
894 
895 
896 
897 
898 //=================================================================================================
899 //
900 // ISUNILOWER SPECIALIZATIONS
901 //
902 //=================================================================================================
903 
904 //*************************************************************************************************
906 template< typename MT1, typename MT2, bool SO >
907 struct IsUniLower< DMatSMatAddExpr<MT1,MT2,SO> >
908  : public Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
909  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >
910 {};
912 //*************************************************************************************************
913 
914 
915 
916 
917 //=================================================================================================
918 //
919 // ISSTRICTLYLOWER SPECIALIZATIONS
920 //
921 //=================================================================================================
922 
923 //*************************************************************************************************
925 template< typename MT1, typename MT2, bool SO >
926 struct IsStrictlyLower< DMatSMatAddExpr<MT1,MT2,SO> >
927  : public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
928 {};
930 //*************************************************************************************************
931 
932 
933 
934 
935 //=================================================================================================
936 //
937 // ISUPPER SPECIALIZATIONS
938 //
939 //=================================================================================================
940 
941 //*************************************************************************************************
943 template< typename MT1, typename MT2, bool SO >
944 struct IsUpper< DMatSMatAddExpr<MT1,MT2,SO> >
945  : public And< IsUpper<MT1>, IsUpper<MT2> >
946 {};
948 //*************************************************************************************************
949 
950 
951 
952 
953 //=================================================================================================
954 //
955 // ISUNIUPPER SPECIALIZATIONS
956 //
957 //=================================================================================================
958 
959 //*************************************************************************************************
961 template< typename MT1, typename MT2, bool SO >
962 struct IsUniUpper< DMatSMatAddExpr<MT1,MT2,SO> >
963  : public Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
964  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >
965 {};
967 //*************************************************************************************************
968 
969 
970 
971 
972 //=================================================================================================
973 //
974 // ISSTRICTLYUPPER SPECIALIZATIONS
975 //
976 //=================================================================================================
977 
978 //*************************************************************************************************
980 template< typename MT1, typename MT2, bool SO >
981 struct IsStrictlyUpper< DMatSMatAddExpr<MT1,MT2,SO> >
982  : public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
983 {};
985 //*************************************************************************************************
986 
987 } // namespace blaze
988 
989 #endif
#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.
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatSMatAddExpr.h:280
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
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 isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSMatAddExpr.h:273
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatSMatAddExpr.h:139
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:70
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
#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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:151
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatSMatAddExpr.h:145
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatAddExpr.h:202
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
Header file for the AddExprTrait class template.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatAddExpr.h:141
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatAddExpr.h:140
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatSMatAddExpr.h:218
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
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:363
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: DMatSMatAddExpr.h:281
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatAddExpr.h:187
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.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: DMatSMatAddExpr.h:248
Header file for the IsStrictlyUpper type trait.
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:112
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
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
Header file for the Or class template.
#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
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:66
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatSMatAddExpr.h:119
Header file for the IsOperation type trait class.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:106
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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATADDEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatAddExpr.h:107
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
Returns the left-hand side dense matrix operand.
Definition: DMatSMatAddExpr.h:238
DMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatSMatAddExpr class.
Definition: DMatSMatAddExpr.h:171
Header file for run time assertion macros.
Header file for the addition trait.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:103
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
Constraint on the data type.
#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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSMatAddExpr.h:260
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:104
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
Header file for the MatMatAddExpr base class.
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:105
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatSMatAddExpr.h:148
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSMatAddExpr.h:142
Expression object for dense matrix-sparse matrix additions.The DMatSMatAddExpr class represents the c...
Definition: DMatSMatAddExpr.h:97
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Compile time logical &#39;or&#39; evaluation.The Or alias declaration performs at compile time a logical &#39;or&#39;...
Definition: Or.h:76
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatSMatAddExpr.h:228
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
Compile time logical &#39;and&#39; evaluation.The And alias declaration performs at compile time a logical &#39;a...
Definition: And.h:76
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:154
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 Size type trait.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:291
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.