DMatDMatAddExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATADDEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <stdexcept>
51 #include <blaze/math/Intrinsics.h>
70 #include <blaze/system/Inline.h>
72 #include <blaze/util/Assert.h>
74 #include <blaze/util/EnableIf.h>
76 #include <blaze/util/mpl/And.h>
77 #include <blaze/util/mpl/Max.h>
78 #include <blaze/util/mpl/Or.h>
79 #include <blaze/util/SelectType.h>
80 #include <blaze/util/Types.h>
83 
84 
85 namespace blaze {
86 
87 //=================================================================================================
88 //
89 // CLASS DMATDMATADDEXPR
90 //
91 //=================================================================================================
92 
93 //*************************************************************************************************
100 template< typename MT1 // Type of the left-hand side dense matrix
101  , typename MT2 // Type of the right-hand side dense matrix
102  , bool SO > // Storage order
103 class DMatDMatAddExpr : public DenseMatrix< DMatDMatAddExpr<MT1,MT2,SO>, SO >
104  , private MatMatAddExpr
105  , private Computation
106 {
107  private:
108  //**Type definitions****************************************************************************
109  typedef typename MT1::ResultType RT1;
110  typedef typename MT2::ResultType RT2;
111  typedef typename MT1::ReturnType RN1;
112  typedef typename MT2::ReturnType RN2;
113  typedef typename MT1::CompositeType CT1;
114  typedef typename MT2::CompositeType CT2;
115  typedef typename MT1::ElementType ET1;
116  typedef typename MT2::ElementType ET2;
117  //**********************************************************************************************
118 
119  //**Return type evaluation**********************************************************************
121 
126  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
127 
130  //**********************************************************************************************
131 
132  //**Serial evaluation strategy******************************************************************
134 
140  enum { useAssign = RequiresEvaluation<MT1>::value || RequiresEvaluation<MT2>::value || !returnExpr };
141 
143  template< typename MT >
145  struct UseAssign {
146  enum { value = useAssign };
147  };
149  //**********************************************************************************************
150 
151  //**Parallel evaluation strategy****************************************************************
153 
159  template< typename MT >
160  struct UseSMPAssign {
161  enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
162  };
164  //**********************************************************************************************
165 
166  public:
167  //**Type definitions****************************************************************************
174 
177 
180 
182  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
183 
185  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
186  //**********************************************************************************************
187 
188  //**ConstIterator class definition**************************************************************
192  {
193  public:
194  //**Type definitions*************************************************************************
195  typedef std::random_access_iterator_tag IteratorCategory;
196  typedef ElementType ValueType;
197  typedef ElementType* PointerType;
198  typedef ElementType& ReferenceType;
200 
201  // STL iterator requirements
202  typedef IteratorCategory iterator_category;
203  typedef ValueType value_type;
204  typedef PointerType pointer;
205  typedef ReferenceType reference;
206  typedef DifferenceType difference_type;
207 
210 
213  //*******************************************************************************************
214 
215  //**Constructor******************************************************************************
221  explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
222  : left_ ( left ) // Iterator to the current left-hand side element
223  , right_( right ) // Iterator to the current right-hand side element
224  {}
225  //*******************************************************************************************
226 
227  //**Addition assignment operator*************************************************************
233  inline ConstIterator& operator+=( size_t inc ) {
234  left_ += inc;
235  right_ += inc;
236  return *this;
237  }
238  //*******************************************************************************************
239 
240  //**Subtraction assignment operator**********************************************************
246  inline ConstIterator& operator-=( size_t dec ) {
247  left_ -= dec;
248  right_ -= dec;
249  return *this;
250  }
251  //*******************************************************************************************
252 
253  //**Prefix increment operator****************************************************************
259  ++left_;
260  ++right_;
261  return *this;
262  }
263  //*******************************************************************************************
264 
265  //**Postfix increment operator***************************************************************
270  inline const ConstIterator operator++( int ) {
271  return ConstIterator( left_++, right_++ );
272  }
273  //*******************************************************************************************
274 
275  //**Prefix decrement operator****************************************************************
281  --left_;
282  --right_;
283  return *this;
284  }
285  //*******************************************************************************************
286 
287  //**Postfix decrement operator***************************************************************
292  inline const ConstIterator operator--( int ) {
293  return ConstIterator( left_--, right_-- );
294  }
295  //*******************************************************************************************
296 
297  //**Element access operator******************************************************************
302  inline ReturnType operator*() const {
303  return (*left_) + (*right_);
304  }
305  //*******************************************************************************************
306 
307  //**Load function****************************************************************************
312  inline IntrinsicType load() const {
313  return left_.load() + right_.load();
314  }
315  //*******************************************************************************************
316 
317  //**Equality operator************************************************************************
323  inline bool operator==( const ConstIterator& rhs ) const {
324  return left_ == rhs.left_;
325  }
326  //*******************************************************************************************
327 
328  //**Inequality operator**********************************************************************
334  inline bool operator!=( const ConstIterator& rhs ) const {
335  return left_ != rhs.left_;
336  }
337  //*******************************************************************************************
338 
339  //**Less-than operator***********************************************************************
345  inline bool operator<( const ConstIterator& rhs ) const {
346  return left_ < rhs.left_;
347  }
348  //*******************************************************************************************
349 
350  //**Greater-than operator********************************************************************
356  inline bool operator>( const ConstIterator& rhs ) const {
357  return left_ > rhs.left_;
358  }
359  //*******************************************************************************************
360 
361  //**Less-or-equal-than operator**************************************************************
367  inline bool operator<=( const ConstIterator& rhs ) const {
368  return left_ <= rhs.left_;
369  }
370  //*******************************************************************************************
371 
372  //**Greater-or-equal-than operator***********************************************************
378  inline bool operator>=( const ConstIterator& rhs ) const {
379  return left_ >= rhs.left_;
380  }
381  //*******************************************************************************************
382 
383  //**Subtraction operator*********************************************************************
389  inline DifferenceType operator-( const ConstIterator& rhs ) const {
390  return left_ - rhs.left_;
391  }
392  //*******************************************************************************************
393 
394  //**Addition operator************************************************************************
401  friend inline const ConstIterator operator+( const ConstIterator& it, size_t inc ) {
402  return ConstIterator( it.left_ + inc, it.right_ + inc );
403  }
404  //*******************************************************************************************
405 
406  //**Addition operator************************************************************************
413  friend inline const ConstIterator operator+( size_t inc, const ConstIterator& it ) {
414  return ConstIterator( it.left_ + inc, it.right_ + inc );
415  }
416  //*******************************************************************************************
417 
418  //**Subtraction operator*********************************************************************
425  friend inline const ConstIterator operator-( const ConstIterator& it, size_t dec ) {
426  return ConstIterator( it.left_ - dec, it.right_ - dec );
427  }
428  //*******************************************************************************************
429 
430  private:
431  //**Member variables*************************************************************************
432  LeftIteratorType left_;
433  RightIteratorType right_;
434  //*******************************************************************************************
435  };
436  //**********************************************************************************************
437 
438  //**Compilation flags***************************************************************************
440  enum { vectorizable = MT1::vectorizable && MT2::vectorizable &&
443 
445  enum { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
446  //**********************************************************************************************
447 
448  //**Constructor*********************************************************************************
454  explicit inline DMatDMatAddExpr( const MT1& lhs, const MT2& rhs )
455  : lhs_( lhs ) // Left-hand side dense matrix of the addition expression
456  , rhs_( rhs ) // Right-hand side dense matrix of the addition expression
457  {
458  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
459  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
460  }
461  //**********************************************************************************************
462 
463  //**Access operator*****************************************************************************
470  inline ReturnType operator()( size_t i, size_t j ) const {
471  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
472  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
473  return lhs_(i,j) + rhs_(i,j);
474  }
475  //**********************************************************************************************
476 
477  //**Load function*******************************************************************************
484  BLAZE_ALWAYS_INLINE IntrinsicType load( size_t i, size_t j ) const {
485  typedef IntrinsicTrait<ElementType> IT;
486  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
487  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
488  BLAZE_INTERNAL_ASSERT( !SO || ( i % IT::size == 0UL ), "Invalid row access index" );
489  BLAZE_INTERNAL_ASSERT( SO || ( j % IT::size == 0UL ), "Invalid column access index" );
490  return lhs_.load(i,j) + rhs_.load(i,j);
491  }
492  //**********************************************************************************************
493 
494  //**Begin function******************************************************************************
500  inline ConstIterator begin( size_t i ) const {
501  return ConstIterator( lhs_.begin(i), rhs_.begin(i) );
502  }
503  //**********************************************************************************************
504 
505  //**End function********************************************************************************
511  inline ConstIterator end( size_t i ) const {
512  return ConstIterator( lhs_.end(i), rhs_.end(i) );
513  }
514  //**********************************************************************************************
515 
516  //**Rows function*******************************************************************************
521  inline size_t rows() const {
522  return lhs_.rows();
523  }
524  //**********************************************************************************************
525 
526  //**Columns function****************************************************************************
531  inline size_t columns() const {
532  return lhs_.columns();
533  }
534  //**********************************************************************************************
535 
536  //**Left operand access*************************************************************************
541  inline LeftOperand leftOperand() const {
542  return lhs_;
543  }
544  //**********************************************************************************************
545 
546  //**Right operand access************************************************************************
551  inline RightOperand rightOperand() const {
552  return rhs_;
553  }
554  //**********************************************************************************************
555 
556  //**********************************************************************************************
562  template< typename T >
563  inline bool canAlias( const T* alias ) const {
564  return ( IsExpression<MT1>::value && ( RequiresEvaluation<MT1>::value ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
565  ( IsExpression<MT2>::value && ( RequiresEvaluation<MT2>::value ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
566  }
567  //**********************************************************************************************
568 
569  //**********************************************************************************************
575  template< typename T >
576  inline bool isAliased( const T* alias ) const {
577  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
578  }
579  //**********************************************************************************************
580 
581  //**********************************************************************************************
586  inline bool isAligned() const {
587  return lhs_.isAligned() && rhs_.isAligned();
588  }
589  //**********************************************************************************************
590 
591  //**********************************************************************************************
596  inline bool canSMPAssign() const {
597  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
598  ( ( ( SO == rowMajor ) ? rows() : columns() ) > SMP_DMATDMATADD_THRESHOLD );
599  }
600  //**********************************************************************************************
601 
602  private:
603  //**Member variables****************************************************************************
604  LeftOperand lhs_;
605  RightOperand rhs_;
606  //**********************************************************************************************
607 
608  //**Assignment to dense matrices****************************************************************
622  template< typename MT // Type of the target dense matrix
623  , bool SO2 > // Storage order of the target dense matrix
624  friend inline typename EnableIf< UseAssign<MT> >::Type
625  assign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
626  {
628 
629  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
630  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
631 
632  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
633  addAssign( ~lhs, rhs.rhs_ );
634  }
635  else if( !IsExpression<MT2>::value && isSame( ~lhs, rhs.rhs_ ) ) {
636  addAssign( ~lhs, rhs.lhs_ );
637  }
638  else {
639  assign ( ~lhs, rhs.lhs_ );
640  addAssign( ~lhs, rhs.rhs_ );
641  }
642  }
644  //**********************************************************************************************
645 
646  //**Assignment to sparse matrices***************************************************************
660  template< typename MT // Type of the target sparse matrix
661  , bool SO2 > // Storage order of the target sparse matrix
662  friend inline typename EnableIf< UseAssign<MT> >::Type
663  assign( SparseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
664  {
666 
668 
675 
676  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
677  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
678 
679  const TmpType tmp( serial( rhs ) );
680  assign( ~lhs, tmp );
681  }
683  //**********************************************************************************************
684 
685  //**Addition assignment to dense matrices*******************************************************
699  template< typename MT // Type of the target dense matrix
700  , bool SO2 > // Storage order of the target dense matrix
701  friend inline typename EnableIf< UseAssign<MT> >::Type
702  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
703  {
705 
706  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
707  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
708 
709  addAssign( ~lhs, rhs.lhs_ );
710  addAssign( ~lhs, rhs.rhs_ );
711  }
713  //**********************************************************************************************
714 
715  //**Addition assignment to sparse matrices******************************************************
716  // No special implementation for the addition assignment to sparse matrices.
717  //**********************************************************************************************
718 
719  //**Subtraction assignment to dense matrices****************************************************
733  template< typename MT // Type of the target dense matrix
734  , bool SO2 > // Storage order of the target dense matrix
735  friend inline typename EnableIf< UseAssign<MT> >::Type
736  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
737  {
739 
740  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
741  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
742 
743  subAssign( ~lhs, rhs.lhs_ );
744  subAssign( ~lhs, rhs.rhs_ );
745  }
747  //**********************************************************************************************
748 
749  //**Subtraction assignment to sparse matrices***************************************************
750  // No special implementation for the subtraction assignment to sparse matrices.
751  //**********************************************************************************************
752 
753  //**Multiplication assignment to dense matrices*************************************************
754  // No special implementation for the multiplication assignment to dense matrices.
755  //**********************************************************************************************
756 
757  //**Multiplication assignment to sparse matrices************************************************
758  // No special implementation for the multiplication assignment to sparse matrices.
759  //**********************************************************************************************
760 
761  //**SMP assignment to dense matrices************************************************************
775  template< typename MT // Type of the target dense matrix
776  , bool SO2 > // Storage order of the target dense matrix
777  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
778  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
779  {
781 
782  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
783  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
784 
785  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
786  smpAddAssign( ~lhs, rhs.rhs_ );
787  }
788  else if( !IsExpression<MT2>::value && isSame( ~lhs, rhs.rhs_ ) ) {
789  smpAddAssign( ~lhs, rhs.lhs_ );
790  }
791  else {
792  smpAssign ( ~lhs, rhs.lhs_ );
793  smpAddAssign( ~lhs, rhs.rhs_ );
794  }
795  }
797  //**********************************************************************************************
798 
799  //**SMP assignment to sparse matrices***********************************************************
813  template< typename MT // Type of the target sparse matrix
814  , bool SO2 > // Storage order of the target sparse matrix
815  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
816  smpAssign( SparseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
817  {
819 
820  typedef typename SelectType< SO == SO2, ResultType, OppositeType >::Type TmpType;
821 
828 
829  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
830  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
831 
832  const TmpType tmp( rhs );
833  smpAssign( ~lhs, tmp );
834  }
836  //**********************************************************************************************
837 
838  //**SMP addition assignment to dense matrices***************************************************
852  template< typename MT // Type of the target dense matrix
853  , bool SO2 > // Storage order of the target dense matrix
854  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
855  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
856  {
858 
859  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
860  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
861 
862  smpAddAssign( ~lhs, rhs.lhs_ );
863  smpAddAssign( ~lhs, rhs.rhs_ );
864  }
866  //**********************************************************************************************
867 
868  //**SMP addition assignment to sparse matrices**************************************************
869  // No special implementation for the SMP addition assignment to sparse matrices.
870  //**********************************************************************************************
871 
872  //**SMP subtraction assignment to dense matrices************************************************
886  template< typename MT // Type of the target dense matrix
887  , bool SO2 > // Storage order of the target dense matrix
888  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
889  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatAddExpr& rhs )
890  {
892 
893  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
894  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
895 
896  smpSubAssign( ~lhs, rhs.lhs_ );
897  smpSubAssign( ~lhs, rhs.rhs_ );
898  }
900  //**********************************************************************************************
901 
902  //**SMP subtraction assignment to sparse matrices***********************************************
903  // No special implementation for the SMP subtraction assignment to sparse matrices.
904  //**********************************************************************************************
905 
906  //**SMP multiplication assignment to dense matrices*********************************************
907  // No special implementation for the SMP multiplication assignment to dense matrices.
908  //**********************************************************************************************
909 
910  //**SMP multiplication assignment to sparse matrices********************************************
911  // No special implementation for the SMP multiplication assignment to sparse matrices.
912  //**********************************************************************************************
913 
914  //**Compile time checks*************************************************************************
921  //**********************************************************************************************
922 };
923 //*************************************************************************************************
924 
925 
926 
927 
928 //=================================================================================================
929 //
930 // GLOBAL BINARY ARITHMETIC OPERATORS
931 //
932 //=================================================================================================
933 
934 //*************************************************************************************************
961 template< typename T1 // Type of the left-hand side dense matrix
962  , typename T2 // Type of the right-hand side dense matrix
963  , bool SO > // Storage order
964 inline const DMatDMatAddExpr<T1,T2,SO>
966 {
968 
969  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() )
970  throw std::invalid_argument( "Matrix sizes do not match" );
971 
972  return DMatDMatAddExpr<T1,T2,SO>( ~lhs, ~rhs );
973 }
974 //*************************************************************************************************
975 
976 
977 
978 
979 //=================================================================================================
980 //
981 // ROWS SPECIALIZATIONS
982 //
983 //=================================================================================================
984 
985 //*************************************************************************************************
987 template< typename MT1, typename MT2, bool SO >
988 struct Rows< DMatDMatAddExpr<MT1,MT2,SO> >
989  : public Max< Rows<MT1>, Rows<MT2> >::Type
990 {};
992 //*************************************************************************************************
993 
994 
995 
996 
997 //=================================================================================================
998 //
999 // COLUMNS SPECIALIZATIONS
1000 //
1001 //=================================================================================================
1002 
1003 //*************************************************************************************************
1005 template< typename MT1, typename MT2, bool SO >
1006 struct Columns< DMatDMatAddExpr<MT1,MT2,SO> >
1007  : public Max< Columns<MT1>, Columns<MT2> >::Type
1008 {};
1010 //*************************************************************************************************
1011 
1012 
1013 
1014 
1015 //=================================================================================================
1016 //
1017 // ISSYMMETRIC SPECIALIZATIONS
1018 //
1019 //=================================================================================================
1020 
1021 //*************************************************************************************************
1023 template< typename MT1, typename MT2, bool SO >
1024 struct IsSymmetric< DMatDMatAddExpr<MT1,MT2,SO> >
1025  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1026 {};
1028 //*************************************************************************************************
1029 
1030 
1031 
1032 
1033 //=================================================================================================
1034 //
1035 // ISLOWER SPECIALIZATIONS
1036 //
1037 //=================================================================================================
1038 
1039 //*************************************************************************************************
1041 template< typename MT1, typename MT2, bool SO >
1042 struct IsLower< DMatDMatAddExpr<MT1,MT2,SO> >
1043  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
1044 {};
1046 //*************************************************************************************************
1047 
1048 
1049 
1050 
1051 //=================================================================================================
1052 //
1053 // ISUNILOWER SPECIALIZATIONS
1054 //
1055 //=================================================================================================
1056 
1057 //*************************************************************************************************
1059 template< typename MT1, typename MT2, bool SO >
1060 struct IsUniLower< DMatDMatAddExpr<MT1,MT2,SO> >
1061  : public IsTrue< Or< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1062  , And< IsUniLower<MT2>, IsStrictlyLower<MT1> > >::value >
1063 {};
1065 //*************************************************************************************************
1066 
1067 
1068 
1069 
1070 //=================================================================================================
1071 //
1072 // ISSTRICTLYLOWER SPECIALIZATIONS
1073 //
1074 //=================================================================================================
1075 
1076 //*************************************************************************************************
1078 template< typename MT1, typename MT2, bool SO >
1079 struct IsStrictlyLower< DMatDMatAddExpr<MT1,MT2,SO> >
1080  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1081 {};
1083 //*************************************************************************************************
1084 
1085 
1086 
1087 
1088 //=================================================================================================
1089 //
1090 // ISUPPER SPECIALIZATIONS
1091 //
1092 //=================================================================================================
1093 
1094 //*************************************************************************************************
1096 template< typename MT1, typename MT2, bool SO >
1097 struct IsUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1098  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1099 {};
1101 //*************************************************************************************************
1102 
1103 
1104 
1105 
1106 //=================================================================================================
1107 //
1108 // ISUNIUPPER SPECIALIZATIONS
1109 //
1110 //=================================================================================================
1111 
1112 //*************************************************************************************************
1114 template< typename MT1, typename MT2, bool SO >
1115 struct IsUniUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1116  : public IsTrue< Or< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1117  , And< IsUniUpper<MT2>, IsStrictlyUpper<MT1> > >::value >
1118 {};
1120 //*************************************************************************************************
1121 
1122 
1123 
1124 
1125 //=================================================================================================
1126 //
1127 // ISSTRICTLYUPPER SPECIALIZATIONS
1128 //
1129 //=================================================================================================
1130 
1131 //*************************************************************************************************
1133 template< typename MT1, typename MT2, bool SO >
1134 struct IsStrictlyUpper< DMatDMatAddExpr<MT1,MT2,SO> >
1135  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1136 {};
1138 //*************************************************************************************************
1139 
1140 
1141 
1142 
1143 //=================================================================================================
1144 //
1145 // EXPRESSION TRAIT SPECIALIZATIONS
1146 //
1147 //=================================================================================================
1148 
1149 //*************************************************************************************************
1151 template< typename MT1, typename MT2, bool SO, bool AF >
1152 struct SubmatrixExprTrait< DMatDMatAddExpr<MT1,MT2,SO>, AF >
1153 {
1154  public:
1155  //**********************************************************************************************
1156  typedef typename AddExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1157  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1158  //**********************************************************************************************
1159 };
1161 //*************************************************************************************************
1162 
1163 
1164 //*************************************************************************************************
1166 template< typename MT1, typename MT2, bool SO >
1167 struct RowExprTrait< DMatDMatAddExpr<MT1,MT2,SO> >
1168 {
1169  public:
1170  //**********************************************************************************************
1171  typedef typename AddExprTrait< typename RowExprTrait<const MT1>::Type
1172  , typename RowExprTrait<const MT2>::Type >::Type Type;
1173  //**********************************************************************************************
1174 };
1176 //*************************************************************************************************
1177 
1178 
1179 //*************************************************************************************************
1181 template< typename MT1, typename MT2, bool SO >
1182 struct ColumnExprTrait< DMatDMatAddExpr<MT1,MT2,SO> >
1183 {
1184  public:
1185  //**********************************************************************************************
1186  typedef typename AddExprTrait< typename ColumnExprTrait<const MT1>::Type
1187  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1188  //**********************************************************************************************
1189 };
1191 //*************************************************************************************************
1192 
1193 } // namespace blaze
1194 
1195 #endif
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatAddExpr.h:511
Pointer difference type of the Blaze library.
Header file for the Max class template.
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:356
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatAddExpr.h:258
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatAddExpr.h:233
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatAddExpr.h:221
RightOperand rightOperand() const
Returns the right-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:551
Evaluation of the return type of an addition expression.Via this type trait it is possible to evaluat...
Definition: AddExprTrait.h:104
PointerType pointer
Pointer return type.
Definition: DMatDMatAddExpr.h:204
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatAddExpr.h:246
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatDMatAddExpr.h:199
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:87
Header file for the Rows type trait.
Header file for the IsUniUpper type trait.
Header file for basic type definitions.
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector)
Returns the current size/dimension of the vector.
Definition: Vector.h:264
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:367
MT1::ElementType ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:115
#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:242
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:209
#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:79
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatAddExpr.h:302
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b)
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:946
Header file for the ColumnExprTrait class template.
Header file for the IsSame and IsStrictlySame type traits.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:334
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:110
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2507
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:261
MT2::ConstIterator RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:212
Header file for the And class template.
ElementType * PointerType
Pointer return type.
Definition: DMatDMatAddExpr.h:197
Header file for the AddExprTrait class template.
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatAddExpr.h:195
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatAddExpr.h:596
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:699
Header file for the Computation base class.
Type relationship analysis.This class tests if the two data types A and B are equal. For this type comparison, the cv-qualifiers of both data types are ignored. If A and B are the same data type (ignoring the cv-qualifiers), then the value member enumeration is set to 1, the nested type definition Type is TrueType, and the class derives from TrueType. Otherwise value is set to 0, Type is FalseType, and the class derives from FalseType.
Definition: IsSame.h:158
Header file for the RequiresEvaluation type trait.
ResultType::ElementType ElementType
Resulting element type.
Definition: DMatDMatAddExpr.h:172
Header file for the IsUniLower type trait.
BLAZE_ALWAYS_INLINE IntrinsicType load(size_t i, size_t j) const
Access to the intrinsic elements of the matrix.
Definition: DMatDMatAddExpr.h:484
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
MT2::ReturnType RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:112
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:107
IntrinsicType load() const
Access to the intrinsic elements of the matrix.
Definition: DMatDMatAddExpr.h:312
Constraint on the data type.
Iterator over the elements of the dense matrix.
Definition: DMatDMatAddExpr.h:191
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatAddExpr.h:171
Constraint on the data type.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:90
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatAddExpr.h:433
Expression object for dense matrix-dense matrix additions.The DMatDMatAddExpr class represents the co...
Definition: DMatDMatAddExpr.h:103
MT1::ResultType RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:109
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatAddExpr.h:500
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatAddExpr.h:292
AddExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatAddExpr.h:129
AddTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: DMatDMatAddExpr.h:169
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2511
Header file for the Or class template.
SelectType< useAssign, const ResultType, const DMatDMatAddExpr & >::Type CompositeType
Data type for composite expression templates.
Definition: DMatDMatAddExpr.h:179
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatAddExpr.h:576
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatAddExpr.h:280
IntrinsicTrait< ElementType >::Type IntrinsicType
Resulting intrinsic element type.
Definition: DMatDMatAddExpr.h:173
Header file for the DenseMatrix base class.
BLAZE_ALWAYS_INLINE void assign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the assignment of a matrix to a matrix.
Definition: Matrix.h:635
Header file for the Columns type trait.
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:401
Base class for all matrix/matrix addition expression templates.The MatMatAddExpr class serves as a ta...
Definition: MatMatAddExpr.h:65
ReferenceType reference
Reference return type.
Definition: DMatDMatAddExpr.h:205
const DenseIterator< Type > operator+(const DenseIterator< Type > &it, ptrdiff_t inc)
Addition between a DenseIterator and an integral value.
Definition: DenseIterator.h:556
MT2::CompositeType CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:114
Header file for the IsLower type trait.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatAddExpr.h:170
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:345
DMatDMatAddExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the DMatDMatAddExpr class.
Definition: DMatDMatAddExpr.h:454
#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:78
Constraints on the storage order of matrix types.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:323
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:2505
#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:165
MT1::ConstIterator LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:209
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
RightOperand rhs_
Right-hand side dense matrix of the addition expression.
Definition: DMatDMatAddExpr.h:605
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatAddExpr.h:389
Header file for the serial shim.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: DMatDMatAddExpr.h:531
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatAddExpr.h:563
MT2::ElementType ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:116
EnableIf< IsDenseMatrix< MT1 > >::Type 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 SubmatrixExprTrait class template.
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:2506
Intrinsic characteristics of data types.The IntrinsicTrait class template provides the intrinsic char...
Definition: IntrinsicTrait.h:749
Header file for run time assertion macros.
Base template for the AddTrait class.
Definition: AddTrait.h:150
EnableIf< IsDenseMatrix< MT1 > >::Type 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
size_t rows() const
Returns the current number of rows of the matrix.
Definition: DMatDMatAddExpr.h:521
Header file for the addition trait.
BLAZE_ALWAYS_INLINE void addAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the addition assignment of a matrix to a matrix.
Definition: Matrix.h:742
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatAddExpr.h:198
Constraint on the data type.
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatAddExpr.h:196
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: DMatDMatAddExpr.h:176
bool isAligned() const
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatAddExpr.h:586
Header file for the MatMatAddExpr base class.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatAddExpr.h:270
MT1::CompositeType CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:113
#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:283
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatAddExpr.h:413
Header file for all intrinsic functionality.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:185
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatAddExpr.h:432
const bool rowMajor
Storage order flag for row-major matrices.
Definition: StorageOrder.h:71
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatAddExpr.h:202
EnableIf< IsDenseMatrix< MT1 > >::Type 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
LeftOperand lhs_
Left-hand side dense matrix of the addition expression.
Definition: DMatDMatAddExpr.h:604
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatDMatAddExpr.h:541
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2502
Header file for the IsTrue value trait.
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatAddExpr.h:425
const size_t SMP_DMATDMATADD_THRESHOLD
SMP row-major dense matrix/row-major dense matrix addition threshold.This threshold specifies when a ...
Definition: Thresholds.h:714
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatAddExpr.h:378
Header file for the IsUpper type trait.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatAddExpr.h:470
MT1::ReturnType RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:111
System settings for the inline keywords.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
DifferenceType difference_type
Difference between two iterators.
Definition: DMatDMatAddExpr.h:206
#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
DMatDMatAddExpr< MT1, MT2, SO > This
Type of this DMatDMatAdd instance.
Definition: DMatDMatAddExpr.h:168
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatAddExpr.h:182
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:87
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
BLAZE_ALWAYS_INLINE void subAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the subtraction assignment of a matrix to matrix.
Definition: Matrix.h:849
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatAddExpr.h:203