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>
70 #include <blaze/util/Assert.h>
71 #include <blaze/util/EnableIf.h>
74 #include <blaze/util/InvalidType.h>
75 #include <blaze/util/mpl/And.h>
76 #include <blaze/util/mpl/If.h>
77 #include <blaze/util/mpl/Maximum.h>
78 #include <blaze/util/mpl/Or.h>
79 #include <blaze/util/Types.h>
80 
81 
82 namespace blaze {
83 
84 //=================================================================================================
85 //
86 // CLASS DMATSMATADDEXPR
87 //
88 //=================================================================================================
89 
90 //*************************************************************************************************
97 template< typename MT1 // Type of the left-hand side dense matrix
98  , typename MT2 // Type of the right-hand side sparse matrix
99  , bool SO > // Storage order
101  : public MatMatAddExpr< DenseMatrix< DMatSMatAddExpr<MT1,MT2,SO>, SO > >
102  , private Computation
103 {
104  private:
105  //**Type definitions****************************************************************************
110  //**********************************************************************************************
111 
112  //**Return type evaluation**********************************************************************
114 
119  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
120 
123  //**********************************************************************************************
124 
125  //**Parallel evaluation strategy****************************************************************
127 
132  template< typename MT >
133  struct UseSMPAssign {
134  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
135  };
137  //**********************************************************************************************
138 
139  public:
140  //**Type definitions****************************************************************************
146 
149 
151  using CompositeType = const ResultType;
152 
154  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
155 
157  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
158  //**********************************************************************************************
159 
160  //**Compilation flags***************************************************************************
162  enum : bool { simdEnabled = false };
163 
165  enum : bool { smpAssignable = false };
166  //**********************************************************************************************
167 
168  //**Constructor*********************************************************************************
174  explicit inline DMatSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
175  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
176  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
177  {
178  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
179  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
180  }
181  //**********************************************************************************************
182 
183  //**Access operator*****************************************************************************
190  inline ReturnType operator()( size_t i, size_t j ) const {
191  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
192  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
193  return lhs_(i,j) + rhs_(i,j);
194  }
195  //**********************************************************************************************
196 
197  //**At function*********************************************************************************
205  inline ReturnType at( size_t i, size_t j ) const {
206  if( i >= lhs_.rows() ) {
207  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
208  }
209  if( j >= lhs_.columns() ) {
210  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
211  }
212  return (*this)(i,j);
213  }
214  //**********************************************************************************************
215 
216  //**Rows function*******************************************************************************
221  inline size_t rows() const noexcept {
222  return lhs_.rows();
223  }
224  //**********************************************************************************************
225 
226  //**Columns function****************************************************************************
231  inline size_t columns() const noexcept {
232  return lhs_.columns();
233  }
234  //**********************************************************************************************
235 
236  //**Left operand access*************************************************************************
241  inline LeftOperand leftOperand() const {
242  return lhs_;
243  }
244  //**********************************************************************************************
245 
246  //**Right operand access************************************************************************
251  inline RightOperand rightOperand() const noexcept {
252  return rhs_;
253  }
254  //**********************************************************************************************
255 
256  //**********************************************************************************************
262  template< typename T >
263  inline bool canAlias( const T* alias ) const noexcept {
264  return ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
265  ( rhs_.canAlias( alias ) );
266  }
267  //**********************************************************************************************
268 
269  //**********************************************************************************************
275  template< typename T >
276  inline bool isAliased( const T* alias ) const noexcept {
277  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
278  }
279  //**********************************************************************************************
280 
281  private:
282  //**Member variables****************************************************************************
285  //**********************************************************************************************
286 
287  //**Assignment to dense matrices****************************************************************
299  template< typename MT // Type of the target dense matrix
300  , bool SO2 > // Storage order of the target dense matrix
301  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
302  {
304 
305  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
306  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
307 
308  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
309  addAssign( ~lhs, rhs.rhs_ );
310  }
311  else {
312  assign ( ~lhs, rhs.lhs_ );
313  addAssign( ~lhs, rhs.rhs_ );
314  }
315  }
317  //**********************************************************************************************
318 
319  //**Assignment to sparse matrices***************************************************************
331  template< typename MT // Type of the target sparse matrix
332  , bool SO2 > // Storage order of the target sparse matrix
333  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
334  {
336 
338 
345 
346  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
347  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
348 
349  const TmpType tmp( serial( rhs ) );
350  assign( ~lhs, tmp );
351  }
353  //**********************************************************************************************
354 
355  //**Addition assignment to dense matrices*******************************************************
367  template< typename MT // Type of the target dense matrix
368  , bool SO2 > // Storage order of the target dense matrix
369  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
370  {
372 
373  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
374  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
375 
376  addAssign( ~lhs, rhs.lhs_ );
377  addAssign( ~lhs, rhs.rhs_ );
378  }
380  //**********************************************************************************************
381 
382  //**Addition assignment to sparse matrices******************************************************
383  // No special implementation for the addition assignment to sparse matrices.
384  //**********************************************************************************************
385 
386  //**Subtraction assignment to dense matrices****************************************************
398  template< typename MT // Type of the target dense matrix
399  , bool SO2 > // Storage order of the target dense matrix
400  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
401  {
403 
404  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
405  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
406 
407  subAssign( ~lhs, rhs.lhs_ );
408  subAssign( ~lhs, rhs.rhs_ );
409  }
411  //**********************************************************************************************
412 
413  //**Subtraction assignment to sparse matrices***************************************************
414  // No special implementation for the subtraction assignment to sparse matrices.
415  //**********************************************************************************************
416 
417  //**Schur product assignment to dense matrices**************************************************
429  template< typename MT // Type of the target dense matrix
430  , bool SO2 > // Storage order of the target dense matrix
431  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
432  {
434 
438 
439  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
440  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
441 
442  const ResultType tmp( serial( rhs ) );
443  schurAssign( ~lhs, tmp );
444  }
446  //**********************************************************************************************
447 
448  //**Schur product assignment to sparse matrices*************************************************
449  // No special implementation for the Schur product assignment to sparse matrices.
450  //**********************************************************************************************
451 
452  //**Multiplication assignment to dense matrices*************************************************
453  // No special implementation for the multiplication assignment to dense matrices.
454  //**********************************************************************************************
455 
456  //**Multiplication assignment to sparse matrices************************************************
457  // No special implementation for the multiplication assignment to sparse matrices.
458  //**********************************************************************************************
459 
460  //**SMP assignment to dense matrices************************************************************
474  template< typename MT // Type of the target dense matrix
475  , bool SO2 > // Storage order of the target dense matrix
476  friend inline EnableIf_< UseSMPAssign<MT> >
477  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
478  {
480 
481  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
482  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
483 
484  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
485  smpAddAssign( ~lhs, rhs.rhs_ );
486  }
487  else {
488  smpAssign ( ~lhs, rhs.lhs_ );
489  smpAddAssign( ~lhs, rhs.rhs_ );
490  }
491  }
493  //**********************************************************************************************
494 
495  //**SMP assignment to sparse matrices***********************************************************
509  template< typename MT // Type of the target sparse matrix
510  , bool SO2 > // Storage order of the target sparse matrix
511  friend inline EnableIf_< UseSMPAssign<MT> >
513  {
515 
517 
524 
525  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
526  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
527 
528  const TmpType tmp( rhs );
529  smpAssign( ~lhs, tmp );
530  }
532  //**********************************************************************************************
533 
534  //**SMP addition assignment to dense matrices***************************************************
548  template< typename MT // Type of the target dense matrix
549  , bool SO2 > // Storage order of the target dense matrix
550  friend inline EnableIf_< UseSMPAssign<MT> >
552  {
554 
555  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
556  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
557 
558  smpAddAssign( ~lhs, rhs.lhs_ );
559  smpAddAssign( ~lhs, rhs.rhs_ );
560  }
562  //**********************************************************************************************
563 
564  //**SMP addition assignment to sparse matrices**************************************************
565  // No special implementation for the SMP addition assignment to sparse matrices.
566  //**********************************************************************************************
567 
568  //**SMP subtraction assignment to dense matrices************************************************
582  template< typename MT // Type of the target dense matrix
583  , bool SO2 > // Storage order of the target dense matrix
584  friend inline EnableIf_< UseSMPAssign<MT> >
586  {
588 
589  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
590  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
591 
592  smpSubAssign( ~lhs, rhs.lhs_ );
593  smpSubAssign( ~lhs, rhs.rhs_ );
594  }
596  //**********************************************************************************************
597 
598  //**SMP subtraction assignment to sparse matrices***********************************************
599  // No special implementation for the SMP subtraction assignment to sparse matrices.
600  //**********************************************************************************************
601 
602  //**SMP Schur product assignment to dense matrices**********************************************
616  template< typename MT // Type of the target dense matrix
617  , bool SO2 > // Storage order of the target dense matrix
618  friend inline EnableIf_< UseSMPAssign<MT> >
620  {
622 
626 
627  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
628  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
629 
630  const ResultType tmp( rhs );
631  smpSchurAssign( ~lhs, tmp );
632  }
634  //**********************************************************************************************
635 
636  //**SMP subtraction assignment to sparse matrices***********************************************
637  // No special implementation for the SMP subtraction assignment to sparse matrices.
638  //**********************************************************************************************
639 
640  //**SMP multiplication assignment to dense matrices*********************************************
641  // No special implementation for the SMP multiplication assignment to dense matrices.
642  //**********************************************************************************************
643 
644  //**SMP multiplication assignment to sparse matrices********************************************
645  // No special implementation for the SMP multiplication assignment to sparse matrices.
646  //**********************************************************************************************
647 
648  //**Compile time checks*************************************************************************
655  //**********************************************************************************************
656 };
657 //*************************************************************************************************
658 
659 
660 
661 
662 //=================================================================================================
663 //
664 // GLOBAL BINARY ARITHMETIC OPERATORS
665 //
666 //=================================================================================================
667 
668 //*************************************************************************************************
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 //*************************************************************************************************
738 template< typename MT1 // Type of the left-hand side sparse matrix
739  , typename MT2 // Type of the right-hand side dense matrix
740  , bool SO > // Storage order
741 inline decltype(auto)
742  operator+( const SparseMatrix<MT1,SO>& lhs, const DenseMatrix<MT2,SO>& rhs )
743 {
745 
746  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
747  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
748  }
749 
751  return ReturnType( ~rhs, ~lhs );
752 }
753 //*************************************************************************************************
754 
755 
756 
757 
758 //=================================================================================================
759 //
760 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
761 //
762 //=================================================================================================
763 
764 //*************************************************************************************************
777 template< typename MT1 // Type of the dense matrix of the left-hand side expression
778  , typename MT2 // Type of the sparse matrix of the left-hand side expression
779  , bool SO1 // Storage order of the left-hand side expression
780  , typename MT3 // Type of the right-hand side dense matrix
781  , bool SO2 > // Storage order of the right-hand side dense matrix
782 inline decltype(auto)
784 {
786 
787  return ( lhs.leftOperand() + (~rhs) ) + lhs.rightOperand();
788 }
790 //*************************************************************************************************
791 
792 
793 //*************************************************************************************************
806 template< typename MT1 // Type of the dense matrix of the left-hand side expression
807  , typename MT2 // Type of the sparse matrix of the left-hand side expression
808  , bool SO1 // Storage order of the left-hand side expression
809  , typename MT3 // Type of the right-hand side dense matrix
810  , bool SO2 > // Storage order of the right-hand side dense matrix
811 inline decltype(auto)
813 {
815 
816  return ( lhs.leftOperand() - (~rhs) ) + lhs.rightOperand();
817 }
819 //*************************************************************************************************
820 
821 
822 
823 
824 //=================================================================================================
825 //
826 // ROWS SPECIALIZATIONS
827 //
828 //=================================================================================================
829 
830 //*************************************************************************************************
832 template< typename MT1, typename MT2, bool SO >
833 struct Rows< DMatSMatAddExpr<MT1,MT2,SO> >
834  : public Maximum< Rows<MT1>, Rows<MT2> >
835 {};
837 //*************************************************************************************************
838 
839 
840 
841 
842 //=================================================================================================
843 //
844 // COLUMNS SPECIALIZATIONS
845 //
846 //=================================================================================================
847 
848 //*************************************************************************************************
850 template< typename MT1, typename MT2, bool SO >
851 struct Columns< DMatSMatAddExpr<MT1,MT2,SO> >
852  : public Maximum< Columns<MT1>, Columns<MT2> >
853 {};
855 //*************************************************************************************************
856 
857 
858 
859 
860 //=================================================================================================
861 //
862 // ISSYMMETRIC SPECIALIZATIONS
863 //
864 //=================================================================================================
865 
866 //*************************************************************************************************
868 template< typename MT1, typename MT2, bool SO >
869 struct IsSymmetric< DMatSMatAddExpr<MT1,MT2,SO> >
870  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
871 {};
873 //*************************************************************************************************
874 
875 
876 
877 
878 //=================================================================================================
879 //
880 // ISHERMITIAN SPECIALIZATIONS
881 //
882 //=================================================================================================
883 
884 //*************************************************************************************************
886 template< typename MT1, typename MT2, bool SO >
887 struct IsHermitian< DMatSMatAddExpr<MT1,MT2,SO> >
888  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
889 {};
891 //*************************************************************************************************
892 
893 
894 
895 
896 //=================================================================================================
897 //
898 // ISLOWER SPECIALIZATIONS
899 //
900 //=================================================================================================
901 
902 //*************************************************************************************************
904 template< typename MT1, typename MT2, bool SO >
905 struct IsLower< DMatSMatAddExpr<MT1,MT2,SO> >
906  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
907 {};
909 //*************************************************************************************************
910 
911 
912 
913 
914 //=================================================================================================
915 //
916 // ISUNILOWER SPECIALIZATIONS
917 //
918 //=================================================================================================
919 
920 //*************************************************************************************************
922 template< typename MT1, typename MT2, bool SO >
923 struct IsUniLower< DMatSMatAddExpr<MT1,MT2,SO> >
924  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
925  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
926 {};
928 //*************************************************************************************************
929 
930 
931 
932 
933 //=================================================================================================
934 //
935 // ISSTRICTLYLOWER SPECIALIZATIONS
936 //
937 //=================================================================================================
938 
939 //*************************************************************************************************
941 template< typename MT1, typename MT2, bool SO >
942 struct IsStrictlyLower< DMatSMatAddExpr<MT1,MT2,SO> >
943  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
944 {};
946 //*************************************************************************************************
947 
948 
949 
950 
951 //=================================================================================================
952 //
953 // ISUPPER SPECIALIZATIONS
954 //
955 //=================================================================================================
956 
957 //*************************************************************************************************
959 template< typename MT1, typename MT2, bool SO >
960 struct IsUpper< DMatSMatAddExpr<MT1,MT2,SO> >
961  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
962 {};
964 //*************************************************************************************************
965 
966 
967 
968 
969 //=================================================================================================
970 //
971 // ISUNIUPPER SPECIALIZATIONS
972 //
973 //=================================================================================================
974 
975 //*************************************************************************************************
977 template< typename MT1, typename MT2, bool SO >
978 struct IsUniUpper< DMatSMatAddExpr<MT1,MT2,SO> >
979  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
980  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
981 {};
983 //*************************************************************************************************
984 
985 
986 
987 
988 //=================================================================================================
989 //
990 // ISSTRICTLYUPPER SPECIALIZATIONS
991 //
992 //=================================================================================================
993 
994 //*************************************************************************************************
996 template< typename MT1, typename MT2, bool SO >
997 struct IsStrictlyUpper< DMatSMatAddExpr<MT1,MT2,SO> >
998  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
999 {};
1001 //*************************************************************************************************
1002 
1003 } // namespace blaze
1004 
1005 #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:283
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.
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:786
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:276
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatSMatAddExpr.h:142
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:71
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
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:154
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatSMatAddExpr.h:148
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatAddExpr.h:205
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
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:88
Header file for the AddExprTrait class template.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatAddExpr.h:144
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatAddExpr.h:143
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:221
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
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:284
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatAddExpr.h:190
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:251
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:57
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.
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
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:122
Header file for the IsOperation type trait class.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:109
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:108
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:241
DMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatSMatAddExpr class.
Definition: DMatSMatAddExpr.h:174
Header file for run time assertion macros.
Utility type for generic codes.
Header file for the addition trait.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:106
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:263
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:107
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
#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:108
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:151
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:3082
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSMatAddExpr.h:145
Expression object for dense matrix-sparse matrix additions.The DMatSMatAddExpr class represents the c...
Definition: DMatSMatAddExpr.h:100
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatSMatAddExpr.h:231
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:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:157
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.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:250
#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.