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>
48 #include <blaze/math/Exception.h>
76 #include <blaze/util/Assert.h>
78 #include <blaze/util/EnableIf.h>
81 #include <blaze/util/InvalidType.h>
82 #include <blaze/util/mpl/And.h>
83 #include <blaze/util/mpl/If.h>
84 #include <blaze/util/mpl/Max.h>
85 #include <blaze/util/mpl/Or.h>
86 #include <blaze/util/Types.h>
87 
88 
89 namespace blaze {
90 
91 //=================================================================================================
92 //
93 // CLASS DMATSMATADDEXPR
94 //
95 //=================================================================================================
96 
97 //*************************************************************************************************
104 template< typename MT1 // Type of the left-hand side dense matrix
105  , typename MT2 // Type of the right-hand side sparse matrix
106  , bool SO > // Storage order
107 class DMatSMatAddExpr : public DenseMatrix< DMatSMatAddExpr<MT1,MT2,SO>, SO >
108  , private MatMatAddExpr
109  , private Computation
110 {
111  private:
112  //**Type definitions****************************************************************************
117  //**********************************************************************************************
118 
119  //**Return type evaluation**********************************************************************
121 
126  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
127 
130  //**********************************************************************************************
131 
132  //**Parallel evaluation strategy****************************************************************
134 
139  template< typename MT >
140  struct UseSMPAssign {
141  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) };
142  };
144  //**********************************************************************************************
145 
146  public:
147  //**Type definitions****************************************************************************
153 
156 
158  typedef const ResultType CompositeType;
159 
161  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
162 
164  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
165  //**********************************************************************************************
166 
167  //**Compilation flags***************************************************************************
169  enum : bool { simdEnabled = false };
170 
172  enum : bool { smpAssignable = false };
173  //**********************************************************************************************
174 
175  //**Constructor*********************************************************************************
181  explicit inline DMatSMatAddExpr( const MT1& lhs, const MT2& rhs ) noexcept
182  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
183  , rhs_( rhs ) // Right-hand side sparse matrix of the addition expression
184  {
185  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
186  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
187  }
188  //**********************************************************************************************
189 
190  //**Access operator*****************************************************************************
197  inline ReturnType operator()( size_t i, size_t j ) const {
198  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
199  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
200  return lhs_(i,j) + rhs_(i,j);
201  }
202  //**********************************************************************************************
203 
204  //**At function*********************************************************************************
212  inline ReturnType at( size_t i, size_t j ) const {
213  if( i >= lhs_.rows() ) {
214  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
215  }
216  if( j >= lhs_.columns() ) {
217  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
218  }
219  return (*this)(i,j);
220  }
221  //**********************************************************************************************
222 
223  //**Rows function*******************************************************************************
228  inline size_t rows() const noexcept {
229  return lhs_.rows();
230  }
231  //**********************************************************************************************
232 
233  //**Columns function****************************************************************************
238  inline size_t columns() const noexcept {
239  return lhs_.columns();
240  }
241  //**********************************************************************************************
242 
243  //**Left operand access*************************************************************************
248  inline LeftOperand leftOperand() const {
249  return lhs_;
250  }
251  //**********************************************************************************************
252 
253  //**Right operand access************************************************************************
258  inline RightOperand rightOperand() const noexcept {
259  return rhs_;
260  }
261  //**********************************************************************************************
262 
263  //**********************************************************************************************
269  template< typename T >
270  inline bool canAlias( const T* alias ) const noexcept {
271  return ( IsExpression<MT1>::value && lhs_.canAlias( alias ) ) ||
272  ( rhs_.canAlias( alias ) );
273  }
274  //**********************************************************************************************
275 
276  //**********************************************************************************************
282  template< typename T >
283  inline bool isAliased( const T* alias ) const noexcept {
284  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
285  }
286  //**********************************************************************************************
287 
288  private:
289  //**Member variables****************************************************************************
290  LeftOperand lhs_;
291  RightOperand rhs_;
292  //**********************************************************************************************
293 
294  //**Assignment to dense matrices****************************************************************
306  template< typename MT // Type of the target dense matrix
307  , bool SO2 > // Storage order of the target dense matrix
308  friend inline void assign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
309  {
311 
312  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
313  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
314 
315  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
316  addAssign( ~lhs, rhs.rhs_ );
317  }
318  else {
319  assign ( ~lhs, rhs.lhs_ );
320  addAssign( ~lhs, rhs.rhs_ );
321  }
322  }
324  //**********************************************************************************************
325 
326  //**Assignment to sparse matrices***************************************************************
338  template< typename MT // Type of the target sparse matrix
339  , bool SO2 > // Storage order of the target sparse matrix
340  friend inline void assign( SparseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
341  {
343 
345 
352 
353  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
354  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
355 
356  const TmpType tmp( serial( rhs ) );
357  assign( ~lhs, tmp );
358  }
360  //**********************************************************************************************
361 
362  //**Addition assignment to dense matrices*******************************************************
374  template< typename MT // Type of the target dense matrix
375  , bool SO2 > // Storage order of the target dense matrix
376  friend inline void addAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
377  {
379 
380  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
381  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
382 
383  addAssign( ~lhs, rhs.lhs_ );
384  addAssign( ~lhs, rhs.rhs_ );
385  }
387  //**********************************************************************************************
388 
389  //**Addition assignment to sparse matrices******************************************************
390  // No special implementation for the addition assignment to sparse matrices.
391  //**********************************************************************************************
392 
393  //**Subtraction assignment to dense matrices****************************************************
405  template< typename MT // Type of the target dense matrix
406  , bool SO2 > // Storage order of the target dense matrix
407  friend inline void subAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
408  {
410 
411  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
412  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
413 
414  subAssign( ~lhs, rhs.lhs_ );
415  subAssign( ~lhs, rhs.rhs_ );
416  }
418  //**********************************************************************************************
419 
420  //**Subtraction assignment to sparse matrices***************************************************
421  // No special implementation for the subtraction assignment to sparse matrices.
422  //**********************************************************************************************
423 
424  //**Multiplication assignment to dense matrices*************************************************
425  // No special implementation for the multiplication assignment to dense matrices.
426  //**********************************************************************************************
427 
428  //**Multiplication assignment to sparse matrices************************************************
429  // No special implementation for the multiplication assignment to sparse matrices.
430  //**********************************************************************************************
431 
432  //**SMP assignment to dense matrices************************************************************
446  template< typename MT // Type of the target dense matrix
447  , bool SO2 > // Storage order of the target dense matrix
448  friend inline EnableIf_< UseSMPAssign<MT> >
449  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatSMatAddExpr& rhs )
450  {
452 
453  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
454  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
455 
456  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
457  smpAddAssign( ~lhs, rhs.rhs_ );
458  }
459  else {
460  smpAssign ( ~lhs, rhs.lhs_ );
461  smpAddAssign( ~lhs, rhs.rhs_ );
462  }
463  }
465  //**********************************************************************************************
466 
467  //**SMP assignment to sparse matrices***********************************************************
481  template< typename MT // Type of the target sparse matrix
482  , bool SO2 > // Storage order of the target sparse matrix
483  friend inline EnableIf_< UseSMPAssign<MT> >
485  {
487 
489 
496 
497  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
498  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
499 
500  const TmpType tmp( rhs );
501  smpAssign( ~lhs, tmp );
502  }
504  //**********************************************************************************************
505 
506  //**SMP addition assignment to dense matrices***************************************************
520  template< typename MT // Type of the target dense matrix
521  , bool SO2 > // Storage order of the target dense matrix
522  friend inline EnableIf_< UseSMPAssign<MT> >
524  {
526 
527  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
528  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
529 
530  smpAddAssign( ~lhs, rhs.lhs_ );
531  smpAddAssign( ~lhs, rhs.rhs_ );
532  }
534  //**********************************************************************************************
535 
536  //**SMP addition assignment to sparse matrices**************************************************
537  // No special implementation for the SMP addition assignment to sparse matrices.
538  //**********************************************************************************************
539 
540  //**SMP subtraction assignment to dense matrices************************************************
554  template< typename MT // Type of the target dense matrix
555  , bool SO2 > // Storage order of the target dense matrix
556  friend inline EnableIf_< UseSMPAssign<MT> >
558  {
560 
561  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
562  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
563 
564  smpSubAssign( ~lhs, rhs.lhs_ );
565  smpSubAssign( ~lhs, rhs.rhs_ );
566  }
568  //**********************************************************************************************
569 
570  //**SMP subtraction assignment to sparse matrices***********************************************
571  // No special implementation for the SMP subtraction assignment to sparse matrices.
572  //**********************************************************************************************
573 
574  //**SMP multiplication assignment to dense matrices*********************************************
575  // No special implementation for the SMP multiplication assignment to dense matrices.
576  //**********************************************************************************************
577 
578  //**SMP multiplication assignment to sparse matrices********************************************
579  // No special implementation for the SMP multiplication assignment to sparse matrices.
580  //**********************************************************************************************
581 
582  //**Compile time checks*************************************************************************
589  //**********************************************************************************************
590 };
591 //*************************************************************************************************
592 
593 
594 
595 
596 //=================================================================================================
597 //
598 // GLOBAL BINARY ARITHMETIC OPERATORS
599 //
600 //=================================================================================================
601 
602 //*************************************************************************************************
628 template< typename T1 // Type of the left-hand side dense matrix
629  , typename T2 // Type of the right-hand side sparse matrix
630  , bool SO > // Storage order
631 inline const DMatSMatAddExpr<T1,T2,SO>
633 {
635 
636  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
637  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
638  }
639 
640  return DMatSMatAddExpr<T1,T2,SO>( ~lhs, ~rhs );
641 }
642 //*************************************************************************************************
643 
644 
645 //*************************************************************************************************
671 template< typename T1 // Type of the left-hand side sparse matrix
672  , typename T2 // Type of the right-hand side dense matrix
673  , bool SO > // Storage order
674 inline const DMatSMatAddExpr<T2,T1,SO>
676 {
678 
679  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
680  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
681  }
682 
683  return DMatSMatAddExpr<T2,T1,SO>( ~rhs, ~lhs );
684 }
685 //*************************************************************************************************
686 
687 
688 
689 
690 //=================================================================================================
691 //
692 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
693 //
694 //=================================================================================================
695 
696 //*************************************************************************************************
709 template< typename T1 // Type of the dense matrix of the left-hand side expression
710  , typename T2 // Type of the sparse matrix of the left-hand side expression
711  , bool SO1 // Storage order of the left-hand side expression
712  , typename T3 // Type of the right-hand side dense matrix
713  , bool SO2 > // Storage order of the right-hand side dense matrix
716 {
718 
719  return ( lhs.leftOperand() + (~rhs) ) + lhs.rightOperand();
720 }
722 //*************************************************************************************************
723 
724 
725 //*************************************************************************************************
738 template< typename T1 // Type of the dense matrix of the left-hand side expression
739  , typename T2 // Type of the sparse matrix of the left-hand side expression
740  , bool SO1 // Storage order of the left-hand side expression
741  , typename T3 // Type of the right-hand side dense matrix
742  , bool SO2 > // Storage order of the right-hand side dense matrix
745 {
747 
748  return ( lhs.leftOperand() - (~rhs) ) + lhs.rightOperand();
749 }
751 //*************************************************************************************************
752 
753 
754 
755 
756 //=================================================================================================
757 //
758 // ROWS SPECIALIZATIONS
759 //
760 //=================================================================================================
761 
762 //*************************************************************************************************
764 template< typename MT1, typename MT2, bool SO >
765 struct Rows< DMatSMatAddExpr<MT1,MT2,SO> >
766  : public Max< Rows<MT1>, Rows<MT2> >
767 {};
769 //*************************************************************************************************
770 
771 
772 
773 
774 //=================================================================================================
775 //
776 // COLUMNS SPECIALIZATIONS
777 //
778 //=================================================================================================
779 
780 //*************************************************************************************************
782 template< typename MT1, typename MT2, bool SO >
783 struct Columns< DMatSMatAddExpr<MT1,MT2,SO> >
784  : public Max< Columns<MT1>, Columns<MT2> >
785 {};
787 //*************************************************************************************************
788 
789 
790 
791 
792 //=================================================================================================
793 //
794 // ISSYMMETRIC SPECIALIZATIONS
795 //
796 //=================================================================================================
797 
798 //*************************************************************************************************
800 template< typename MT1, typename MT2, bool SO >
801 struct IsSymmetric< DMatSMatAddExpr<MT1,MT2,SO> >
802  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
803 {};
805 //*************************************************************************************************
806 
807 
808 
809 
810 //=================================================================================================
811 //
812 // ISHERMITIAN SPECIALIZATIONS
813 //
814 //=================================================================================================
815 
816 //*************************************************************************************************
818 template< typename MT1, typename MT2, bool SO >
819 struct IsHermitian< DMatSMatAddExpr<MT1,MT2,SO> >
820  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
821 {};
823 //*************************************************************************************************
824 
825 
826 
827 
828 //=================================================================================================
829 //
830 // ISLOWER SPECIALIZATIONS
831 //
832 //=================================================================================================
833 
834 //*************************************************************************************************
836 template< typename MT1, typename MT2, bool SO >
837 struct IsLower< DMatSMatAddExpr<MT1,MT2,SO> >
838  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
839 {};
841 //*************************************************************************************************
842 
843 
844 
845 
846 //=================================================================================================
847 //
848 // ISUNILOWER SPECIALIZATIONS
849 //
850 //=================================================================================================
851 
852 //*************************************************************************************************
854 template< typename MT1, typename MT2, bool SO >
855 struct IsUniLower< DMatSMatAddExpr<MT1,MT2,SO> >
856  : public BoolConstant< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
857  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
858 {};
860 //*************************************************************************************************
861 
862 
863 
864 
865 //=================================================================================================
866 //
867 // ISSTRICTLYLOWER SPECIALIZATIONS
868 //
869 //=================================================================================================
870 
871 //*************************************************************************************************
873 template< typename MT1, typename MT2, bool SO >
874 struct IsStrictlyLower< DMatSMatAddExpr<MT1,MT2,SO> >
875  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
876 {};
878 //*************************************************************************************************
879 
880 
881 
882 
883 //=================================================================================================
884 //
885 // ISUPPER SPECIALIZATIONS
886 //
887 //=================================================================================================
888 
889 //*************************************************************************************************
891 template< typename MT1, typename MT2, bool SO >
892 struct IsUpper< DMatSMatAddExpr<MT1,MT2,SO> >
893  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
894 {};
896 //*************************************************************************************************
897 
898 
899 
900 
901 //=================================================================================================
902 //
903 // ISUNIUPPER SPECIALIZATIONS
904 //
905 //=================================================================================================
906 
907 //*************************************************************************************************
909 template< typename MT1, typename MT2, bool SO >
910 struct IsUniUpper< DMatSMatAddExpr<MT1,MT2,SO> >
911  : public BoolConstant< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
912  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
913 {};
915 //*************************************************************************************************
916 
917 
918 
919 
920 //=================================================================================================
921 //
922 // ISSTRICTLYUPPER SPECIALIZATIONS
923 //
924 //=================================================================================================
925 
926 //*************************************************************************************************
928 template< typename MT1, typename MT2, bool SO >
929 struct IsStrictlyUpper< DMatSMatAddExpr<MT1,MT2,SO> >
930  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
931 {};
933 //*************************************************************************************************
934 
935 
936 
937 
938 //=================================================================================================
939 //
940 // EXPRESSION TRAIT SPECIALIZATIONS
941 //
942 //=================================================================================================
943 
944 //*************************************************************************************************
946 template< typename MT1, typename MT2, typename MT3 >
947 struct DMatDMatAddExprTrait< DMatSMatAddExpr<MT1,MT2,false>, MT3 >
948 {
949  public:
950  //**********************************************************************************************
956  , INVALID_TYPE >;
958  //**********************************************************************************************
959 };
961 //*************************************************************************************************
962 
963 
964 //*************************************************************************************************
966 template< typename MT1, typename MT2, typename MT3 >
967 struct DMatTDMatAddExprTrait< DMatSMatAddExpr<MT1,MT2,false>, MT3 >
968 {
969  public:
970  //**********************************************************************************************
976  , INVALID_TYPE >;
978  //**********************************************************************************************
979 };
981 //*************************************************************************************************
982 
983 
984 //*************************************************************************************************
986 template< typename MT1, typename MT2, typename MT3 >
987 struct TDMatDMatAddExprTrait< DMatSMatAddExpr<MT1,MT2,true>, MT3 >
988 {
989  public:
990  //**********************************************************************************************
996  , INVALID_TYPE >;
998  //**********************************************************************************************
999 };
1001 //*************************************************************************************************
1002 
1003 
1004 //*************************************************************************************************
1006 template< typename MT1, typename MT2, typename MT3 >
1007 struct TDMatTDMatAddExprTrait< DMatSMatAddExpr<MT1,MT2,true>, MT3 >
1008 {
1009  public:
1010  //**********************************************************************************************
1016  , INVALID_TYPE >;
1018  //**********************************************************************************************
1019 };
1021 //*************************************************************************************************
1022 
1023 
1024 //*************************************************************************************************
1026 template< typename MT1, typename MT2, typename MT3 >
1027 struct DMatDMatSubExprTrait< DMatSMatAddExpr<MT1,MT2,false>, MT3 >
1028 {
1029  public:
1030  //**********************************************************************************************
1036  , INVALID_TYPE >;
1038  //**********************************************************************************************
1039 };
1041 //*************************************************************************************************
1042 
1043 
1044 //*************************************************************************************************
1046 template< typename MT1, typename MT2, typename MT3 >
1047 struct DMatTDMatSubExprTrait< DMatSMatAddExpr<MT1,MT2,false>, MT3 >
1048 {
1049  public:
1050  //**********************************************************************************************
1056  , INVALID_TYPE >;
1058  //**********************************************************************************************
1059 };
1061 //*************************************************************************************************
1062 
1063 
1064 //*************************************************************************************************
1066 template< typename MT1, typename MT2, typename MT3 >
1067 struct TDMatDMatSubExprTrait< DMatSMatAddExpr<MT1,MT2,true>, MT3 >
1068 {
1069  public:
1070  //**********************************************************************************************
1076  , INVALID_TYPE >;
1078  //**********************************************************************************************
1079 };
1081 //*************************************************************************************************
1082 
1083 
1084 //*************************************************************************************************
1086 template< typename MT1, typename MT2, typename MT3 >
1087 struct TDMatTDMatSubExprTrait< DMatSMatAddExpr<MT1,MT2,true>, MT3 >
1088 {
1089  public:
1090  //**********************************************************************************************
1096  , INVALID_TYPE >;
1098  //**********************************************************************************************
1099 };
1101 //*************************************************************************************************
1102 
1103 
1104 //*************************************************************************************************
1106 template< typename MT1, typename MT2, bool SO, bool AF >
1107 struct SubmatrixExprTrait< DMatSMatAddExpr<MT1,MT2,SO>, AF >
1108 {
1109  public:
1110  //**********************************************************************************************
1113  //**********************************************************************************************
1114 };
1116 //*************************************************************************************************
1117 
1118 
1119 //*************************************************************************************************
1121 template< typename MT1, typename MT2, bool SO >
1122 struct RowExprTrait< DMatSMatAddExpr<MT1,MT2,SO> >
1123 {
1124  public:
1125  //**********************************************************************************************
1128  //**********************************************************************************************
1129 };
1131 //*************************************************************************************************
1132 
1133 
1134 //*************************************************************************************************
1136 template< typename MT1, typename MT2, bool SO >
1137 struct ColumnExprTrait< DMatSMatAddExpr<MT1,MT2,SO> >
1138 {
1139  public:
1140  //**********************************************************************************************
1143  //**********************************************************************************************
1144 };
1146 //*************************************************************************************************
1147 
1148 } // namespace blaze
1149 
1150 #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
Evaluation of the expression type of a transpose dense matrix/dense matrix subtraction.Via this type trait it is possible to evaluate the resulting expression type of a transpose dense matrix/dense matrix subtraction. Given the column-major dense matrix type MT1 and the row-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a column-major dense matrix type or MT2 is not a row-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TDMatDMatSubExprTrait.h:80
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatSMatAddExpr.h:290
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSMatAddExpr.h:283
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.
#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
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatSMatAddExpr.h:212
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
ReturnType_< MT2 > RN2
Return type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:116
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
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:161
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
typename TDMatTSMatAddExprTrait< MT1, MT2 >::Type TDMatTSMatAddExprTrait_
Auxiliary alias declaration for the TDMatTSMatAddExprTrait class template.The TDMatTSMatAddExprTrait_...
Definition: TDMatTSMatAddExprTrait.h:120
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
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
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatSMatAddExpr.h:228
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
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
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatSMatAddExpr.h:155
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
RightOperand rhs_
Right-hand side sparse matrix of the addition expression.
Definition: DMatSMatAddExpr.h:291
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatSMatAddExpr.h:197
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
Evaluation of the expression type of a transpose dense matrix/dense matrix addition.Via this type trait it is possible to evaluate the resulting expression type of a transpose dense matrix/dense matrix addition. Given the column-major dense matrix type MT1 and the row-major dense matrix type MT2, the nested type Type corresponds to the resulting expression type. In case either MT1 is not a column-major dense matrix type or MT2 is not a row-major dense matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TDMatDMatAddExprTrait.h:80
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.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: DMatSMatAddExpr.h:258
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
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.
DMatSMatAddExpr< MT1, MT2, SO > This
Type of this DMatSMatAddExpr instance.
Definition: DMatSMatAddExpr.h:148
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:65
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
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
AddExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatSMatAddExpr.h:129
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSMatAddExpr.h:151
#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
const ResultType CompositeType
Data type for composite expression templates.
Definition: DMatSMatAddExpr.h:158
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.
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:113
Header file for the IsDenseMatrix type trait.
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:248
DMatSMatAddExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatSMatAddExpr class.
Definition: DMatSMatAddExpr.h:181
Header file for the SubmatrixExprTrait class template.
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.
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:164
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_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatSMatAddExpr.h:115
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.
#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
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatSMatAddExpr.h:150
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:270
Header file for the MatMatAddExpr base class.
typename DMatTSMatAddExprTrait< MT1, MT2 >::Type DMatTSMatAddExprTrait_
Auxiliary alias declaration for the DMatTSMatAddExprTrait class template.The DMatTSMatAddExprTrait_ a...
Definition: DMatTSMatAddExprTrait.h:120
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
Evaluation of the expression type of a transpose dense matrix/transpose dense matrix subtraction...
Definition: TDMatTDMatSubExprTrait.h:77
Header file for the IsRowMajorMatrix type trait.
Expression object for dense matrix-sparse matrix additions.The DMatSMatAddExpr class represents the c...
Definition: DMatSMatAddExpr.h:107
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatSMatAddExpr.h:238
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
AddTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatSMatAddExpr.h:149
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
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSMatAddExpr.h:152
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.
Evaluation of the expression type of a transpose dense matrix/transpose dense matrix addition...
Definition: TDMatTDMatAddExprTrait.h:77
Header file for the IsHermitian type trait.
Header file for the SubExprTrait class template.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: DMatSMatAddExpr.h:114
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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.