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>
50 #include <blaze/math/Exception.h>
78 #include <blaze/util/Assert.h>
80 #include <blaze/util/EnableIf.h>
83 #include <blaze/util/InvalidType.h>
84 #include <blaze/util/mpl/And.h>
85 #include <blaze/util/mpl/If.h>
86 #include <blaze/util/mpl/Max.h>
87 #include <blaze/util/mpl/Or.h>
88 #include <blaze/util/Types.h>
89 
90 
91 namespace blaze {
92 
93 //=================================================================================================
94 //
95 // CLASS TDMATSMATADDEXPR
96 //
97 //=================================================================================================
98 
99 //*************************************************************************************************
106 template< typename MT1 // Type of the left-hand side dense matrix
107  , typename MT2 > // Type of the right-hand side sparse matrix
108 class TDMatSMatAddExpr : public DenseMatrix< TDMatSMatAddExpr<MT1,MT2>, true >
109  , private MatMatAddExpr
110  , private Computation
111 {
112  private:
113  //**Type definitions****************************************************************************
118  //**********************************************************************************************
119 
120  //**Return type evaluation**********************************************************************
122 
127  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
128 
131  //**********************************************************************************************
132 
133  //**Parallel evaluation strategy****************************************************************
135 
140  template< typename MT >
141  struct UseSMPAssign {
142  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
143  };
145  //**********************************************************************************************
146 
147  public:
148  //**Type definitions****************************************************************************
154 
157 
159  typedef const ResultType CompositeType;
160 
162  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
163 
165  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
166  //**********************************************************************************************
167 
168  //**Compilation flags***************************************************************************
170  enum : bool { simdEnabled = false };
171 
173  enum : bool { smpAssignable = false };
174  //**********************************************************************************************
175 
176  //**Constructor*********************************************************************************
182  explicit inline TDMatSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
183  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
184  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
185  {
186  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
187  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
188  }
189  //**********************************************************************************************
190 
191  //**Access operator*****************************************************************************
198  inline ReturnType operator()( size_t i, size_t j ) const {
199  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
200  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
201  return lhs_(i,j) + rhs_(i,j);
202  }
203  //**********************************************************************************************
204 
205  //**At function*********************************************************************************
213  inline ReturnType at( size_t i, size_t j ) const {
214  if( i >= lhs_.rows() ) {
215  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
216  }
217  if( j >= lhs_.columns() ) {
218  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
219  }
220  return (*this)(i,j);
221  }
222  //**********************************************************************************************
223 
224  //**Rows function*******************************************************************************
229  inline size_t rows() const noexcept {
230  return lhs_.rows();
231  }
232  //**********************************************************************************************
233 
234  //**Columns function****************************************************************************
239  inline size_t columns() const noexcept {
240  return lhs_.columns();
241  }
242  //**********************************************************************************************
243 
244  //**Left operand access*************************************************************************
249  inline LeftOperand leftOperand() const noexcept {
250  return lhs_;
251  }
252  //**********************************************************************************************
253 
254  //**Right operand access************************************************************************
259  inline RightOperand rightOperand() const noexcept {
260  return rhs_;
261  }
262  //**********************************************************************************************
263 
264  //**********************************************************************************************
270  template< typename T >
271  inline bool canAlias( const T* alias ) const noexcept {
272  return ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
273  ( rhs_.canAlias( alias ) );
274  }
275  //**********************************************************************************************
276 
277  //**********************************************************************************************
283  template< typename T >
284  inline bool isAliased( const T* alias ) const noexcept {
285  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
286  }
287  //**********************************************************************************************
288 
289  private:
290  //**Member variables****************************************************************************
291  LeftOperand lhs_;
292  RightOperand rhs_;
293  //**********************************************************************************************
294 
295  //**Assignment to dense matrices****************************************************************
307  template< typename MT // Type of the target dense matrix
308  , bool SO2 > // Storage order of the target dense matrix
309  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
310  {
312 
313  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
314  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
315 
316  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
317  addAssign( ~lhs, rhs.rhs_ );
318  }
319  else {
320  assign ( ~lhs, rhs.lhs_ );
321  addAssign( ~lhs, rhs.rhs_ );
322  }
323  }
325  //**********************************************************************************************
326 
327  //**Assignment to sparse matrices***************************************************************
339  template< typename MT // Type of the target sparse matrix
340  , bool SO2 > // Storage order of the target sparse matrix
341  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
342  {
344 
346 
353 
354  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
355  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
356 
357  const TmpType tmp( serial( rhs ) );
358  assign( ~lhs, tmp );
359  }
361  //**********************************************************************************************
362 
363  //**Addition assignment to dense matrices*******************************************************
376  template< typename MT // Type of the target dense matrix
377  , bool SO2 > // Storage order of the target dense matrix
378  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
379  {
381 
382  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
383  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
384 
385  addAssign( ~lhs, rhs.lhs_ );
386  addAssign( ~lhs, rhs.rhs_ );
387  }
389  //**********************************************************************************************
390 
391  //**Addition assignment to sparse matrices******************************************************
392  // No special implementation for the addition assignment to sparse matrices.
393  //**********************************************************************************************
394 
395  //**Subtraction assignment to dense matrices****************************************************
408  template< typename MT // Type of the target dense matrix
409  , bool SO2 > // Storage order of the target dense matrix
410  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const TDMatSMatAddExpr& rhs )
411  {
413 
414  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
415  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
416 
417  subAssign( ~lhs, rhs.lhs_ );
418  subAssign( ~lhs, rhs.rhs_ );
419  }
421  //**********************************************************************************************
422 
423  //**Subtraction assignment to sparse matrices***************************************************
424  // No special implementation for the subtraction assignment to sparse matrices.
425  //**********************************************************************************************
426 
427  //**Multiplication assignment to dense matrices*************************************************
428  // No special implementation for the multiplication assignment to dense matrices.
429  //**********************************************************************************************
430 
431  //**Multiplication assignment to sparse matrices************************************************
432  // No special implementation for the multiplication assignment to sparse matrices.
433  //**********************************************************************************************
434 
435  //**SMP assignment to dense matrices************************************************************
449  template< typename MT // Type of the target dense matrix
450  , bool SO2 > // Storage order of the target dense matrix
451  friend inline EnableIf_< UseSMPAssign<MT> >
453  {
455 
456  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
457  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
458 
459  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
460  smpAddAssign( ~lhs, rhs.rhs_ );
461  }
462  else {
463  smpAssign ( ~lhs, rhs.lhs_ );
464  smpAddAssign( ~lhs, rhs.rhs_ );
465  }
466  }
468  //**********************************************************************************************
469 
470  //**SMP assignment to sparse matrices***********************************************************
484  template< typename MT // Type of the target sparse matrix
485  , bool SO2 > // Storage order of the target sparse matrix
486  friend inline EnableIf_< UseSMPAssign<MT> >
488  {
490 
492 
499 
500  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
501  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
502 
503  const TmpType tmp( rhs );
504  smpAssign( ~lhs, tmp );
505  }
507  //**********************************************************************************************
508 
509  //**SMP addition assignment to dense matrices***************************************************
524  template< typename MT // Type of the target dense matrix
525  , bool SO2 > // Storage order of the target dense matrix
526  friend inline EnableIf_< UseSMPAssign<MT> >
528  {
530 
531  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
532  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
533 
534  smpAddAssign( ~lhs, rhs.lhs_ );
535  smpAddAssign( ~lhs, rhs.rhs_ );
536  }
538  //**********************************************************************************************
539 
540  //**SMP addition assignment to sparse matrices**************************************************
541  // No special implementation for the SMP addition assignment to sparse matrices.
542  //**********************************************************************************************
543 
544  //**SMP subtraction assignment to dense matrices************************************************
559  template< typename MT // Type of the target dense matrix
560  , bool SO2 > // Storage order of the target dense matrix
561  friend inline EnableIf_< UseSMPAssign<MT> >
563  {
565 
566  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
567  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
568 
569  smpSubAssign( ~lhs, rhs.lhs_ );
570  smpSubAssign( ~lhs, rhs.rhs_ );
571  }
573  //**********************************************************************************************
574 
575  //**SMP subtraction assignment to sparse matrices***********************************************
576  // No special implementation for the SMP subtraction assignment to sparse matrices.
577  //**********************************************************************************************
578 
579  //**SMP multiplication assignment to dense matrices*********************************************
580  // No special implementation for the SMP multiplication assignment to dense matrices.
581  //**********************************************************************************************
582 
583  //**SMP multiplication assignment to sparse matrices********************************************
584  // No special implementation for the SMP multiplication assignment to sparse matrices.
585  //**********************************************************************************************
586 
587  //**Compile time checks*************************************************************************
595  //**********************************************************************************************
596 };
597 //*************************************************************************************************
598 
599 
600 
601 
602 //=================================================================================================
603 //
604 // GLOBAL BINARY ARITHMETIC OPERATORS
605 //
606 //=================================================================================================
607 
608 //*************************************************************************************************
639 template< typename T1 // Type of the left-hand side dense matrix
640  , typename T2 > // Type of the right-hand side sparse matrix
643 {
645 
646  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
647  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
648  }
649 
650  return TDMatSMatAddExpr<T1,T2>( ~lhs, ~rhs );
651 }
652 //*************************************************************************************************
653 
654 
655 //*************************************************************************************************
686 template< typename T1 // Type of the left-hand side dense matrix
687  , typename T2 > // Type of the right-hand side sparse matrix
690 {
692 
693  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
694  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
695  }
696 
697  return TDMatSMatAddExpr<T1,T2>( ~rhs, ~lhs );
698 }
699 //*************************************************************************************************
700 
701 
702 
703 
704 //=================================================================================================
705 //
706 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
707 //
708 //=================================================================================================
709 
710 //*************************************************************************************************
723 template< typename T1 // Type of the dense matrix of the left-hand side expression
724  , typename T2 // Type of the sparse matrix of the left-hand side expression
725  , typename T3 // Type of the right-hand side dense matrix
726  , bool SO > // Storage order of the right-hand side dense matrix
728  operator+( const TDMatSMatAddExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
729 {
731 
732  return ( lhs.leftOperand() + (~rhs) ) + lhs.rightOperand();
733 }
735 //*************************************************************************************************
736 
737 
738 //*************************************************************************************************
751 template< typename T1 // Type of the dense matrix of the left-hand side expression
752  , typename T2 // Type of the sparse matrix of the left-hand side expression
753  , typename T3 // Type of the right-hand side dense matrix
754  , bool SO > // Storage order of the right-hand side dense matrix
756  operator-( const TDMatSMatAddExpr<T1,T2>& lhs, const DenseMatrix<T3,SO>& rhs )
757 {
759 
760  return ( lhs.leftOperand() - (~rhs) ) + lhs.rightOperand();
761 }
763 //*************************************************************************************************
764 
765 
766 
767 
768 //=================================================================================================
769 //
770 // ROWS SPECIALIZATIONS
771 //
772 //=================================================================================================
773 
774 //*************************************************************************************************
776 template< typename MT1, typename MT2 >
777 struct Rows< TDMatSMatAddExpr<MT1,MT2> >
778  : public Max< Rows<MT1>, Rows<MT2> >
779 {};
781 //*************************************************************************************************
782 
783 
784 
785 
786 //=================================================================================================
787 //
788 // COLUMNS SPECIALIZATIONS
789 //
790 //=================================================================================================
791 
792 //*************************************************************************************************
794 template< typename MT1, typename MT2 >
795 struct Columns< TDMatSMatAddExpr<MT1,MT2> >
796  : public Max< Columns<MT1>, Columns<MT2> >
797 {};
799 //*************************************************************************************************
800 
801 
802 
803 
804 //=================================================================================================
805 //
806 // ISSYMMETRIC SPECIALIZATIONS
807 //
808 //=================================================================================================
809 
810 //*************************************************************************************************
812 template< typename MT1, typename MT2 >
813 struct IsSymmetric< TDMatSMatAddExpr<MT1,MT2> >
814  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
815 {};
817 //*************************************************************************************************
818 
819 
820 
821 
822 //=================================================================================================
823 //
824 // ISHERMITIAN SPECIALIZATIONS
825 //
826 //=================================================================================================
827 
828 //*************************************************************************************************
830 template< typename MT1, typename MT2 >
831 struct IsHermitian< TDMatSMatAddExpr<MT1,MT2> >
832  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
833 {};
835 //*************************************************************************************************
836 
837 
838 
839 
840 //=================================================================================================
841 //
842 // ISLOWER SPECIALIZATIONS
843 //
844 //=================================================================================================
845 
846 //*************************************************************************************************
848 template< typename MT1, typename MT2 >
849 struct IsLower< TDMatSMatAddExpr<MT1,MT2> >
850  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
851 {};
853 //*************************************************************************************************
854 
855 
856 
857 
858 //=================================================================================================
859 //
860 // ISUNILOWER SPECIALIZATIONS
861 //
862 //=================================================================================================
863 
864 //*************************************************************************************************
866 template< typename MT1, typename MT2 >
867 struct IsUniLower< TDMatSMatAddExpr<MT1,MT2> >
868  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
869  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
870 {};
872 //*************************************************************************************************
873 
874 
875 
876 
877 //=================================================================================================
878 //
879 // ISSTRICTLYLOWER SPECIALIZATIONS
880 //
881 //=================================================================================================
882 
883 //*************************************************************************************************
885 template< typename MT1, typename MT2 >
886 struct IsStrictlyLower< TDMatSMatAddExpr<MT1,MT2> >
887  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
888 {};
890 //*************************************************************************************************
891 
892 
893 
894 
895 //=================================================================================================
896 //
897 // ISUPPER SPECIALIZATIONS
898 //
899 //=================================================================================================
900 
901 //*************************************************************************************************
903 template< typename MT1, typename MT2 >
904 struct IsUpper< TDMatSMatAddExpr<MT1,MT2> >
905  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
906 {};
908 //*************************************************************************************************
909 
910 
911 
912 
913 //=================================================================================================
914 //
915 // ISUNIUPPER SPECIALIZATIONS
916 //
917 //=================================================================================================
918 
919 //*************************************************************************************************
921 template< typename MT1, typename MT2 >
922 struct IsUniUpper< TDMatSMatAddExpr<MT1,MT2> >
923  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
924  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
925 {};
927 //*************************************************************************************************
928 
929 
930 
931 
932 //=================================================================================================
933 //
934 // ISSTRICTLYUPPER SPECIALIZATIONS
935 //
936 //=================================================================================================
937 
938 //*************************************************************************************************
940 template< typename MT1, typename MT2 >
941 struct IsStrictlyUpper< TDMatSMatAddExpr<MT1,MT2> >
942  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
943 {};
945 //*************************************************************************************************
946 
947 
948 
949 
950 //=================================================================================================
951 //
952 // EXPRESSION TRAIT SPECIALIZATIONS
953 //
954 //=================================================================================================
955 
956 //*************************************************************************************************
958 template< typename MT1, typename MT2, typename MT3 >
959 struct DMatDMatAddExprTrait< TDMatSMatAddExpr<MT1,MT2>, MT3 >
960 {
961  public:
962  //**********************************************************************************************
968  , INVALID_TYPE >;
970  //**********************************************************************************************
971 };
973 //*************************************************************************************************
974 
975 
976 //*************************************************************************************************
978 template< typename MT1, typename MT2, typename MT3 >
979 struct DMatTDMatAddExprTrait< TDMatSMatAddExpr<MT1,MT2>, MT3 >
980 {
981  public:
982  //**********************************************************************************************
988  , INVALID_TYPE >;
990  //**********************************************************************************************
991 };
993 //*************************************************************************************************
994 
995 
996 //*************************************************************************************************
998 template< typename MT1, typename MT2, typename MT3 >
999 struct DMatDMatSubExprTrait< TDMatSMatAddExpr<MT1,MT2>, MT3 >
1000 {
1001  public:
1002  //**********************************************************************************************
1008  , INVALID_TYPE >;
1010  //**********************************************************************************************
1011 };
1013 //*************************************************************************************************
1014 
1015 
1016 //*************************************************************************************************
1018 template< typename MT1, typename MT2, typename MT3 >
1019 struct DMatTDMatSubExprTrait< TDMatSMatAddExpr<MT1,MT2>, MT3 >
1020 {
1021  public:
1022  //**********************************************************************************************
1028  , INVALID_TYPE >;
1030  //**********************************************************************************************
1031 };
1033 //*************************************************************************************************
1034 
1035 
1036 //*************************************************************************************************
1038 template< typename MT1, typename MT2, bool AF >
1039 struct SubmatrixExprTrait< TDMatSMatAddExpr<MT1,MT2>, AF >
1040 {
1041  public:
1042  //**********************************************************************************************
1045  //**********************************************************************************************
1046 };
1048 //*************************************************************************************************
1049 
1050 
1051 //*************************************************************************************************
1053 template< typename MT1, typename MT2 >
1054 struct RowExprTrait< TDMatSMatAddExpr<MT1,MT2> >
1055 {
1056  public:
1057  //**********************************************************************************************
1060  //**********************************************************************************************
1061 };
1063 //*************************************************************************************************
1064 
1065 
1066 //*************************************************************************************************
1068 template< typename MT1, typename MT2 >
1069 struct ColumnExprTrait< TDMatSMatAddExpr<MT1,MT2> >
1070 {
1071  public:
1072  //**********************************************************************************************
1075  //**********************************************************************************************
1076 };
1078 //*************************************************************************************************
1079 
1080 } // namespace blaze
1081 
1082 #endif
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
Header file for the Max class template.
Evaluation of the expression type of a dense matrix/transpose dense matrix subtraction.Via this type trait it is possible to evaluate the resulting expression type of a dense matrix/transpose dense matrix subtraction. Given the row-major dense matrix type MT1 and the column-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a row-major dense matrix type or MT2 is not a column-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: DMatTDMatSubExprTrait.h:81
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDMatSMatAddExpr.h:153
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.
Evaluation of the expression type of a dense matrix/dense matrix subtraction.Via this type trait it i...
Definition: DMatDMatSubExprTrait.h:76
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:721
Header file for basic type definitions.
Evaluation of the expression type of a dense matrix/dense matrix addition.Via this type trait it is p...
Definition: DMatDMatAddExprTrait.h:76
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the IsSparseMatrix type trait.
Header file for the serial shim.
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
TDMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the TDMatSMatAddExpr class.
Definition: TDMatSMatAddExpr.h:182
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: TDMatSMatAddExpr.h:239
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 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.
Evaluation of the expression type of a dense matrix/transpose dense matrix addition.Via this type trait it is possible to evaluate the resulting expression type of a dense matrix/transpose dense matrix addition. Given the row-major dense matrix type MT1 and the column-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a row-major dense matrix type or MT2 is not a column-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: DMatTDMatAddExprTrait.h:81
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:721
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
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:323
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:291
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:165
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
Constraint on the data type.
Constraint on the data type.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
typename RowExprTrait< MT >::Type RowExprTrait_
Auxiliary alias declaration for the RowExprTrait type trait.The RowExprTrait_ alias declaration provi...
Definition: RowExprTrait.h:134
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
typename AddExprTrait< T1, T2 >::Type AddExprTrait_
Auxiliary alias declaration for the AddExprTrait class template.The AddExprTrait_ alias declaration p...
Definition: AddExprTrait.h:219
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
typename DMatSMatAddExprTrait< MT1, MT2 >::Type DMatSMatAddExprTrait_
Auxiliary alias declaration for the DMatSMatAddExprTrait class template.The DMatSMatAddExprTrait_ ali...
Definition: DMatSMatAddExprTrait.h:118
Header file for the If class template.
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:83
#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
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:116
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: TDMatSMatAddExpr.h:292
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
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
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TDMatSMatAddExpr.h:213
Header file for the IsLower type trait.
typename ColumnExprTrait< MT >::Type ColumnExprTrait_
Auxiliary alias declaration for the ColumnExprTrait type trait.The ColumnExprTrait_ alias declaration...
Definition: ColumnExprTrait.h:133
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDMatSMatAddExpr.h:259
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
#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:109
Compile time check for dense matrix types.This type trait tests whether or not the given template par...
Definition: IsDenseMatrix.h:78
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the IsDenseMatrix type trait.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDMatSMatAddExpr.h:284
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:229
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose dense matrix operand.
Definition: TDMatSMatAddExpr.h:249
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDMatSMatAddExpr.h:159
Header file for the SubmatrixExprTrait class template.
#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.
Compile time check for column-major matrix types.This type trait tests whether or not the given templ...
Definition: IsColumnMajorMatrix.h:83
Utility type for generic codes.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDMatSMatAddExpr.h:271
Compile time value evaluation.The Max class template selects the larger of the two given template arg...
Definition: Max.h:72
Header file for the addition trait.
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:117
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:114
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:152
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
Constraint on the data type.
typename TDMatSMatAddExprTrait< MT1, MT2 >::Type TDMatSMatAddExprTrait_
Auxiliary alias declaration for the TDMatSMatAddExprTrait class template.The TDMatSMatAddExprTrait_ a...
Definition: TDMatSMatAddExprTrait.h:119
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
TDMatSMatAddExpr< MT1, MT2 > This
Type of this TDMatSMatAddExpr instance.
Definition: TDMatSMatAddExpr.h:149
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.
Header file for the MatMatAddExpr base class.
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:156
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TDMatSMatAddExpr.h:198
Header file for the IsRowMajorMatrix type trait.
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: TDMatSMatAddExpr.h:130
Expression object for dense matrix-sparse matrix additions.The TDMatSMatAddExpr class represents the ...
Definition: Forward.h:140
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:76
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: TDMatSMatAddExpr.h:115
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
Compile time check for sparse matrix types.This type trait tests whether or not the given template pa...
Definition: IsSparseMatrix.h:78
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: TDMatSMatAddExpr.h:150
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TDMatSMatAddExpr.h:151
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
typename AddTrait< T1, T2 >::Type AddTrait_
Auxiliary alias declaration for the AddTrait class template.The AddTrait_ alias declaration provides ...
Definition: AddTrait.h:245
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: TDMatSMatAddExpr.h:162
Header file for the IsExpression type trait class.
Header file for the function trace functionality.