TDMatSMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDMATSMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TDMATSMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
71 #include <blaze/util/Assert.h>
72 #include <blaze/util/EnableIf.h>
74 #include <blaze/util/mpl/And.h>
75 #include <blaze/util/mpl/If.h>
76 #include <blaze/util/mpl/Maximum.h>
77 #include <blaze/util/mpl/Or.h>
78 #include <blaze/util/Types.h>
79 
80 
81 namespace blaze {
82 
83 //=================================================================================================
84 //
85 // CLASS TDMATSMATADDEXPR
86 //
87 //=================================================================================================
88 
89 //*************************************************************************************************
96 template< typename MT1 // Type of the left-hand side dense matrix
97  , typename MT2 > // Type of the right-hand side sparse matrix
98 class TDMatSMatAddExpr
99  : public MatMatAddExpr< DenseMatrix< TDMatSMatAddExpr<MT1,MT2>, true > >
100  , private Computation
101 {
102  private:
103  //**Type definitions****************************************************************************
108  //**********************************************************************************************
109 
110  //**Return type evaluation**********************************************************************
112 
117  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
118 
121  //**********************************************************************************************
122 
123  //**Parallel evaluation strategy****************************************************************
125 
130  template< typename MT >
131  struct UseSMPAssign {
132  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
133  };
135  //**********************************************************************************************
136 
137  public:
138  //**Type definitions****************************************************************************
144 
147 
149  using CompositeType = const ResultType;
150 
152  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
153 
155  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
156  //**********************************************************************************************
157 
158  //**Compilation flags***************************************************************************
160  enum : bool { simdEnabled = false };
161 
163  enum : bool { smpAssignable = false };
164  //**********************************************************************************************
165 
166  //**Constructor*********************************************************************************
172  explicit inline TDMatSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
173  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
174  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
175  {
176  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
177  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
178  }
179  //**********************************************************************************************
180 
181  //**Access operator*****************************************************************************
188  inline ReturnType operator()( size_t i, size_t j ) const {
189  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
190  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
191  return lhs_(i,j) + rhs_(i,j);
192  }
193  //**********************************************************************************************
194 
195  //**At function*********************************************************************************
203  inline ReturnType at( size_t i, size_t j ) const {
204  if( i >= lhs_.rows() ) {
205  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
206  }
207  if( j >= lhs_.columns() ) {
208  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
209  }
210  return (*this)(i,j);
211  }
212  //**********************************************************************************************
213 
214  //**Rows function*******************************************************************************
219  inline size_t rows() const noexcept {
220  return lhs_.rows();
221  }
222  //**********************************************************************************************
223 
224  //**Columns function****************************************************************************
229  inline size_t columns() const noexcept {
230  return lhs_.columns();
231  }
232  //**********************************************************************************************
233 
234  //**Left operand access*************************************************************************
239  inline LeftOperand leftOperand() const noexcept {
240  return lhs_;
241  }
242  //**********************************************************************************************
243 
244  //**Right operand access************************************************************************
249  inline RightOperand rightOperand() const noexcept {
250  return rhs_;
251  }
252  //**********************************************************************************************
253 
254  //**********************************************************************************************
260  template< typename T >
261  inline bool canAlias( const T* alias ) const noexcept {
262  return ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
263  ( rhs_.canAlias( alias ) );
264  }
265  //**********************************************************************************************
266 
267  //**********************************************************************************************
273  template< typename T >
274  inline bool isAliased( const T* alias ) const noexcept {
275  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
276  }
277  //**********************************************************************************************
278 
279  private:
280  //**Member variables****************************************************************************
283  //**********************************************************************************************
284 
285  //**Assignment to dense matrices****************************************************************
297  template< typename MT // Type of the target dense matrix
298  , bool SO2 > // Storage order of the target dense matrix
299  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
300  {
302 
303  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
304  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
305 
306  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
307  addAssign( ~lhs, rhs.rhs_ );
308  }
309  else {
310  assign ( ~lhs, rhs.lhs_ );
311  addAssign( ~lhs, rhs.rhs_ );
312  }
313  }
315  //**********************************************************************************************
316 
317  //**Assignment to sparse matrices***************************************************************
329  template< typename MT // Type of the target sparse matrix
330  , bool SO2 > // Storage order of the target sparse matrix
331  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
332  {
334 
336 
343 
344  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
345  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
346 
347  const TmpType tmp( serial( rhs ) );
348  assign( ~lhs, tmp );
349  }
351  //**********************************************************************************************
352 
353  //**Addition assignment to dense matrices*******************************************************
366  template< typename MT // Type of the target dense matrix
367  , bool SO2 > // Storage order of the target dense matrix
368  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
369  {
371 
372  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
373  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
374 
375  addAssign( ~lhs, rhs.lhs_ );
376  addAssign( ~lhs, rhs.rhs_ );
377  }
379  //**********************************************************************************************
380 
381  //**Addition assignment to sparse matrices******************************************************
382  // No special implementation for the addition assignment to sparse matrices.
383  //**********************************************************************************************
384 
385  //**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 TDMatSMatAddExpr& 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**************************************************
430  template< typename MT // Type of the target dense matrix
431  , bool SO2 > // Storage order of the target dense matrix
432  friend inline void schurAssign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
433  {
435 
439 
440  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
441  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
442 
443  const ResultType tmp( serial( rhs ) );
444  schurAssign( ~lhs, tmp );
445  }
447  //**********************************************************************************************
448 
449  //**Schur product assignment to sparse matrices*************************************************
450  // No special implementation for the Schur product assignment to sparse matrices.
451  //**********************************************************************************************
452 
453  //**Multiplication assignment to dense matrices*************************************************
454  // No special implementation for the multiplication assignment to dense matrices.
455  //**********************************************************************************************
456 
457  //**Multiplication assignment to sparse matrices************************************************
458  // No special implementation for the multiplication assignment to sparse matrices.
459  //**********************************************************************************************
460 
461  //**SMP assignment to dense matrices************************************************************
475  template< typename MT // Type of the target dense matrix
476  , bool SO2 > // Storage order of the target dense matrix
477  friend inline EnableIf_< UseSMPAssign<MT> >
479  {
481 
482  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
483  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
484 
485  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
486  smpAddAssign( ~lhs, rhs.rhs_ );
487  }
488  else {
489  smpAssign ( ~lhs, rhs.lhs_ );
490  smpAddAssign( ~lhs, rhs.rhs_ );
491  }
492  }
494  //**********************************************************************************************
495 
496  //**SMP assignment to sparse matrices***********************************************************
510  template< typename MT // Type of the target sparse matrix
511  , bool SO2 > // Storage order of the target sparse matrix
512  friend inline EnableIf_< UseSMPAssign<MT> >
514  {
516 
518 
525 
526  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
527  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
528 
529  const TmpType tmp( rhs );
530  smpAssign( ~lhs, tmp );
531  }
533  //**********************************************************************************************
534 
535  //**SMP addition assignment to dense matrices***************************************************
550  template< typename MT // Type of the target dense matrix
551  , bool SO2 > // Storage order of the target dense matrix
552  friend inline EnableIf_< UseSMPAssign<MT> >
554  {
556 
557  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
558  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
559 
560  smpAddAssign( ~lhs, rhs.lhs_ );
561  smpAddAssign( ~lhs, rhs.rhs_ );
562  }
564  //**********************************************************************************************
565 
566  //**SMP addition assignment to sparse matrices**************************************************
567  // No special implementation for the SMP addition assignment to sparse matrices.
568  //**********************************************************************************************
569 
570  //**SMP subtraction assignment to dense matrices************************************************
585  template< typename MT // Type of the target dense matrix
586  , bool SO2 > // Storage order of the target dense matrix
587  friend inline EnableIf_< UseSMPAssign<MT> >
589  {
591 
592  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
593  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
594 
595  smpSubAssign( ~lhs, rhs.lhs_ );
596  smpSubAssign( ~lhs, rhs.rhs_ );
597  }
599  //**********************************************************************************************
600 
601  //**SMP subtraction assignment to sparse matrices***********************************************
602  // No special implementation for the SMP subtraction assignment to sparse matrices.
603  //**********************************************************************************************
604 
605  //**SMP Schur product assignment to dense matrices**********************************************
620  template< typename MT // Type of the target dense matrix
621  , bool SO2 > // Storage order of the target dense matrix
622  friend inline EnableIf_< UseSMPAssign<MT> >
624  {
626 
630 
631  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
632  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
633 
634  const ResultType tmp( rhs );
635  smpSchurAssign( ~lhs, tmp );
636  }
638  //**********************************************************************************************
639 
640  //**SMP Schur product assignment to sparse matrices*********************************************
641  // No special implementation for the SMP Schur product assignment to sparse matrices.
642  //**********************************************************************************************
643 
644  //**SMP multiplication assignment to dense matrices*********************************************
645  // No special implementation for the SMP multiplication assignment to dense matrices.
646  //**********************************************************************************************
647 
648  //**SMP multiplication assignment to sparse matrices********************************************
649  // No special implementation for the SMP multiplication assignment to sparse matrices.
650  //**********************************************************************************************
651 
652  //**Compile time checks*************************************************************************
660  //**********************************************************************************************
661 };
662 //*************************************************************************************************
663 
664 
665 
666 
667 //=================================================================================================
668 //
669 // GLOBAL BINARY ARITHMETIC OPERATORS
670 //
671 //=================================================================================================
672 
673 //*************************************************************************************************
704 template< typename MT1 // Type of the left-hand side dense matrix
705  , typename MT2 > // Type of the right-hand side sparse matrix
706 inline decltype(auto)
707  operator+( const DenseMatrix<MT1,true>& lhs, const SparseMatrix<MT2,false>& rhs )
708 {
710 
711  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
712  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
713  }
714 
716  return ReturnType( ~lhs, ~rhs );
717 }
718 //*************************************************************************************************
719 
720 
721 //*************************************************************************************************
752 template< typename MT1 // Type of the left-hand side dense matrix
753  , typename MT2 > // Type of the right-hand side sparse matrix
754 inline decltype(auto)
755  operator+( const SparseMatrix<MT2,false>& lhs, const DenseMatrix<MT1,true>& rhs )
756 {
758 
759  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
760  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
761  }
762 
764  return ReturnType( ~rhs, ~lhs );
765 }
766 //*************************************************************************************************
767 
768 
769 
770 
771 //=================================================================================================
772 //
773 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
774 //
775 //=================================================================================================
776 
777 //*************************************************************************************************
790 template< typename MT1 // Type of the dense matrix of the left-hand side expression
791  , typename MT2 // Type of the sparse matrix of the left-hand side expression
792  , typename MT3 // Type of the right-hand side dense matrix
793  , bool SO > // Storage order of the right-hand side dense matrix
794 inline decltype(auto)
796 {
798 
799  return ( lhs.leftOperand() + (~rhs) ) + lhs.rightOperand();
800 }
802 //*************************************************************************************************
803 
804 
805 //*************************************************************************************************
818 template< typename MT1 // Type of the dense matrix of the left-hand side expression
819  , typename MT2 // Type of the sparse matrix of the left-hand side expression
820  , typename MT3 // Type of the right-hand side dense matrix
821  , bool SO > // Storage order of the right-hand side dense matrix
822 inline decltype(auto)
824 {
826 
827  return ( lhs.leftOperand() - (~rhs) ) + lhs.rightOperand();
828 }
830 //*************************************************************************************************
831 
832 
833 
834 
835 //=================================================================================================
836 //
837 // SIZE SPECIALIZATIONS
838 //
839 //=================================================================================================
840 
841 //*************************************************************************************************
843 template< typename MT1, typename MT2 >
844 struct Size< TDMatSMatAddExpr<MT1,MT2>, 0UL >
845  : public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
846 {};
847 
848 template< typename MT1, typename MT2 >
849 struct Size< TDMatSMatAddExpr<MT1,MT2>, 1UL >
850  : public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
851 {};
853 //*************************************************************************************************
854 
855 
856 
857 
858 //=================================================================================================
859 //
860 // ISSYMMETRIC SPECIALIZATIONS
861 //
862 //=================================================================================================
863 
864 //*************************************************************************************************
866 template< typename MT1, typename MT2 >
867 struct IsSymmetric< TDMatSMatAddExpr<MT1,MT2> >
868  : public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
869 {};
871 //*************************************************************************************************
872 
873 
874 
875 
876 //=================================================================================================
877 //
878 // ISHERMITIAN SPECIALIZATIONS
879 //
880 //=================================================================================================
881 
882 //*************************************************************************************************
884 template< typename MT1, typename MT2 >
885 struct IsHermitian< TDMatSMatAddExpr<MT1,MT2> >
886  : public And< IsHermitian<MT1>, IsHermitian<MT2> >
887 {};
889 //*************************************************************************************************
890 
891 
892 
893 
894 //=================================================================================================
895 //
896 // ISLOWER SPECIALIZATIONS
897 //
898 //=================================================================================================
899 
900 //*************************************************************************************************
902 template< typename MT1, typename MT2 >
903 struct IsLower< TDMatSMatAddExpr<MT1,MT2> >
904  : public And< IsLower<MT1>, IsLower<MT2> >
905 {};
907 //*************************************************************************************************
908 
909 
910 
911 
912 //=================================================================================================
913 //
914 // ISUNILOWER SPECIALIZATIONS
915 //
916 //=================================================================================================
917 
918 //*************************************************************************************************
920 template< typename MT1, typename MT2 >
921 struct IsUniLower< TDMatSMatAddExpr<MT1,MT2> >
922  : public Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
923  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >
924 {};
926 //*************************************************************************************************
927 
928 
929 
930 
931 //=================================================================================================
932 //
933 // ISSTRICTLYLOWER SPECIALIZATIONS
934 //
935 //=================================================================================================
936 
937 //*************************************************************************************************
939 template< typename MT1, typename MT2 >
940 struct IsStrictlyLower< TDMatSMatAddExpr<MT1,MT2> >
941  : public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
942 {};
944 //*************************************************************************************************
945 
946 
947 
948 
949 //=================================================================================================
950 //
951 // ISUPPER SPECIALIZATIONS
952 //
953 //=================================================================================================
954 
955 //*************************************************************************************************
957 template< typename MT1, typename MT2 >
958 struct IsUpper< TDMatSMatAddExpr<MT1,MT2> >
959  : public And< IsUpper<MT1>, IsUpper<MT2> >
960 {};
962 //*************************************************************************************************
963 
964 
965 
966 
967 //=================================================================================================
968 //
969 // ISUNIUPPER SPECIALIZATIONS
970 //
971 //=================================================================================================
972 
973 //*************************************************************************************************
975 template< typename MT1, typename MT2 >
976 struct IsUniUpper< TDMatSMatAddExpr<MT1,MT2> >
977  : public Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
978  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >
979 {};
981 //*************************************************************************************************
982 
983 
984 
985 
986 //=================================================================================================
987 //
988 // ISSTRICTLYUPPER SPECIALIZATIONS
989 //
990 //=================================================================================================
991 
992 //*************************************************************************************************
994 template< typename MT1, typename MT2 >
995 struct IsStrictlyUpper< TDMatSMatAddExpr<MT1,MT2> >
996  : public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
997 {};
999 //*************************************************************************************************
1000 
1001 } // namespace blaze
1002 
1003 #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
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:155
Header file for auxiliary alias declarations.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDMatSMatAddExpr.h:149
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.
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:70
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:146
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_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
TDMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TDMatSMatAddExpr class.
Definition: TDMatSMatAddExpr.h:172
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TDMatSMatAddExpr.h:120
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TDMatSMatAddExpr.h:229
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.
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
Constraints on the storage order of matrix types.
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:152
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
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:281
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDMatSMatAddExpr.h:143
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.
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.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:104
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:282
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
Header file for the IsOperation type trait class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TDMatSMatAddExpr.h:203
Header file for the IsLower type trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDMatSMatAddExpr.h:249
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDMatSMatAddExpr.h:274
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: TDMatSMatAddExpr.h:219
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose dense matrix operand.
Definition: TDMatSMatAddExpr.h:239
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
Header file for run time assertion macros.
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:140
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:105
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDMatSMatAddExpr.h:261
Header file for the addition trait.
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
Constraints on the storage order of matrix types.
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.
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
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:142
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TDMatSMatAddExpr.h:188
Compile time logical &#39;or&#39; evaluation.The Or alias declaration performs at compile time a logical &#39;or&#39;...
Definition: Or.h:76
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
Expression object for dense matrix-sparse matrix additions.The TDMatSMatAddExpr class represents the ...
Definition: Forward.h:150
Compile time logical &#39;and&#39; evaluation.The And alias declaration performs at compile time a logical &#39;a...
Definition: And.h:76
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:106
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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TDMatSMatAddExpr.h:141
#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
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:107
#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.