DMatDMatSubExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATDMATSUBEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <iterator>
51 #include <blaze/math/Intrinsics.h>
73 #include <blaze/system/Inline.h>
75 #include <blaze/util/Assert.h>
77 #include <blaze/util/EnableIf.h>
78 #include <blaze/util/Exception.h>
80 #include <blaze/util/mpl/And.h>
81 #include <blaze/util/mpl/Max.h>
82 #include <blaze/util/SelectType.h>
83 #include <blaze/util/Types.h>
86 
87 
88 namespace blaze {
89 
90 //=================================================================================================
91 //
92 // CLASS DMATDMATSUBEXPR
93 //
94 //=================================================================================================
95 
96 //*************************************************************************************************
103 template< typename MT1 // Type of the left-hand side dense matrix
104  , typename MT2 // Type of the right-hand side dense matrix
105  , bool SO > // Storage order
106 class DMatDMatSubExpr : public DenseMatrix< DMatDMatSubExpr<MT1,MT2,SO>, SO >
107  , private MatMatSubExpr
108  , private Computation
109 {
110  private:
111  //**Type definitions****************************************************************************
112  typedef typename MT1::ResultType RT1;
113  typedef typename MT2::ResultType RT2;
114  typedef typename MT1::ReturnType RN1;
115  typedef typename MT2::ReturnType RN2;
116  typedef typename MT1::CompositeType CT1;
117  typedef typename MT2::CompositeType CT2;
118  typedef typename MT1::ElementType ET1;
119  typedef typename MT2::ElementType ET2;
120  //**********************************************************************************************
121 
122  //**Return type evaluation**********************************************************************
124 
129  enum { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
130 
133  //**********************************************************************************************
134 
135  //**Serial evaluation strategy******************************************************************
137 
143  enum { useAssign = RequiresEvaluation<MT1>::value || RequiresEvaluation<MT2>::value || !returnExpr };
144 
146  template< typename MT >
148  struct UseAssign {
149  enum { value = useAssign };
150  };
152  //**********************************************************************************************
153 
154  //**Parallel evaluation strategy****************************************************************
156 
162  template< typename MT >
163  struct UseSMPAssign {
164  enum { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
165  };
167  //**********************************************************************************************
168 
169  public:
170  //**Type definitions****************************************************************************
177 
180 
183 
185  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
186 
188  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
189  //**********************************************************************************************
190 
191  //**ConstIterator class definition**************************************************************
195  {
196  public:
197  //**Type definitions*************************************************************************
198  typedef std::random_access_iterator_tag IteratorCategory;
199  typedef ElementType ValueType;
200  typedef ElementType* PointerType;
201  typedef ElementType& ReferenceType;
203 
204  // STL iterator requirements
205  typedef IteratorCategory iterator_category;
206  typedef ValueType value_type;
207  typedef PointerType pointer;
208  typedef ReferenceType reference;
209  typedef DifferenceType difference_type;
210 
213 
216  //*******************************************************************************************
217 
218  //**Constructor******************************************************************************
224  explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
225  : left_ ( left ) // Iterator to the current left-hand side element
226  , right_( right ) // Iterator to the current right-hand side element
227  {}
228  //*******************************************************************************************
229 
230  //**Addition assignment operator*************************************************************
236  inline ConstIterator& operator+=( size_t inc ) {
237  left_ += inc;
238  right_ += inc;
239  return *this;
240  }
241  //*******************************************************************************************
242 
243  //**Subtraction assignment operator**********************************************************
249  inline ConstIterator& operator-=( size_t dec ) {
250  left_ -= dec;
251  right_ -= dec;
252  return *this;
253  }
254  //*******************************************************************************************
255 
256  //**Prefix increment operator****************************************************************
262  ++left_;
263  ++right_;
264  return *this;
265  }
266  //*******************************************************************************************
267 
268  //**Postfix increment operator***************************************************************
273  inline const ConstIterator operator++( int ) {
274  return ConstIterator( left_++, right_++ );
275  }
276  //*******************************************************************************************
277 
278  //**Prefix decrement operator****************************************************************
284  --left_;
285  --right_;
286  return *this;
287  }
288  //*******************************************************************************************
289 
290  //**Postfix decrement operator***************************************************************
295  inline const ConstIterator operator--( int ) {
296  return ConstIterator( left_--, right_-- );
297  }
298  //*******************************************************************************************
299 
300  //**Element access operator******************************************************************
305  inline ReturnType operator*() const {
306  return (*left_) - (*right_);
307  }
308  //*******************************************************************************************
309 
310  //**Load function****************************************************************************
315  inline IntrinsicType load() const {
316  return left_.load() - right_.load();
317  }
318  //*******************************************************************************************
319 
320  //**Equality operator************************************************************************
326  inline bool operator==( const ConstIterator& rhs ) const {
327  return left_ == rhs.left_;
328  }
329  //*******************************************************************************************
330 
331  //**Inequality operator**********************************************************************
337  inline bool operator!=( const ConstIterator& rhs ) const {
338  return left_ != rhs.left_;
339  }
340  //*******************************************************************************************
341 
342  //**Less-than operator***********************************************************************
348  inline bool operator<( const ConstIterator& rhs ) const {
349  return left_ < rhs.left_;
350  }
351  //*******************************************************************************************
352 
353  //**Greater-than operator********************************************************************
359  inline bool operator>( const ConstIterator& rhs ) const {
360  return left_ > rhs.left_;
361  }
362  //*******************************************************************************************
363 
364  //**Less-or-equal-than operator**************************************************************
370  inline bool operator<=( const ConstIterator& rhs ) const {
371  return left_ <= rhs.left_;
372  }
373  //*******************************************************************************************
374 
375  //**Greater-or-equal-than operator***********************************************************
381  inline bool operator>=( const ConstIterator& rhs ) const {
382  return left_ >= rhs.left_;
383  }
384  //*******************************************************************************************
385 
386  //**Subtraction operator*********************************************************************
392  inline DifferenceType operator-( const ConstIterator& rhs ) const {
393  return left_ - rhs.left_;
394  }
395  //*******************************************************************************************
396 
397  //**Addition operator************************************************************************
404  friend inline const ConstIterator operator+( const ConstIterator& it, size_t inc ) {
405  return ConstIterator( it.left_ + inc, it.right_ + inc );
406  }
407  //*******************************************************************************************
408 
409  //**Addition operator************************************************************************
416  friend inline const ConstIterator operator+( size_t inc, const ConstIterator& it ) {
417  return ConstIterator( it.left_ + inc, it.right_ + inc );
418  }
419  //*******************************************************************************************
420 
421  //**Subtraction operator*********************************************************************
428  friend inline const ConstIterator operator-( const ConstIterator& it, size_t dec ) {
429  return ConstIterator( it.left_ - dec, it.right_ - dec );
430  }
431  //*******************************************************************************************
432 
433  private:
434  //**Member variables*************************************************************************
435  LeftIteratorType left_;
436  RightIteratorType right_;
437  //*******************************************************************************************
438  };
439  //**********************************************************************************************
440 
441  //**Compilation flags***************************************************************************
443  enum { vectorizable = MT1::vectorizable && MT2::vectorizable &&
446 
448  enum { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
449  //**********************************************************************************************
450 
451  //**Constructor*********************************************************************************
457  explicit inline DMatDMatSubExpr( const MT1& lhs, const MT2& rhs )
458  : lhs_( lhs ) // Left-hand side dense matrix of the subtraction expression
459  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
460  {
461  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
462  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
463  }
464  //**********************************************************************************************
465 
466  //**Access operator*****************************************************************************
473  inline ReturnType operator()( size_t i, size_t j ) const {
474  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
475  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
476  return lhs_(i,j) - rhs_(i,j);
477  }
478  //**********************************************************************************************
479 
480  //**At function*********************************************************************************
488  inline ReturnType at( size_t i, size_t j ) const {
489  if( i >= lhs_.rows() ) {
490  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
491  }
492  if( j >= lhs_.columns() ) {
493  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
494  }
495  return (*this)(i,j);
496  }
497  //**********************************************************************************************
498 
499  //**Load function*******************************************************************************
506  BLAZE_ALWAYS_INLINE IntrinsicType load( size_t i, size_t j ) const {
507  typedef IntrinsicTrait<ElementType> IT;
508  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
509  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
510  BLAZE_INTERNAL_ASSERT( !SO || ( i % IT::size == 0UL ), "Invalid row access index" );
511  BLAZE_INTERNAL_ASSERT( SO || ( j % IT::size == 0UL ), "Invalid column access index" );
512  const IntrinsicType xmm1( lhs_.load(i,j) );
513  const IntrinsicType xmm2( rhs_.load(i,j) );
514  return xmm1 - xmm2;
515  }
516  //**********************************************************************************************
517 
518  //**Begin function******************************************************************************
524  inline ConstIterator begin( size_t i ) const {
525  return ConstIterator( lhs_.begin(i), rhs_.begin(i) );
526  }
527  //**********************************************************************************************
528 
529  //**End function********************************************************************************
535  inline ConstIterator end( size_t i ) const {
536  return ConstIterator( lhs_.end(i), rhs_.end(i) );
537  }
538  //**********************************************************************************************
539 
540  //**Rows function*******************************************************************************
545  inline size_t rows() const {
546  return lhs_.rows();
547  }
548  //**********************************************************************************************
549 
550  //**Columns function****************************************************************************
555  inline size_t columns() const {
556  return lhs_.columns();
557  }
558  //**********************************************************************************************
559 
560  //**Left operand access*************************************************************************
565  inline LeftOperand leftOperand() const {
566  return lhs_;
567  }
568  //**********************************************************************************************
569 
570  //**Right operand access************************************************************************
575  inline RightOperand rightOperand() const {
576  return rhs_;
577  }
578  //**********************************************************************************************
579 
580  //**********************************************************************************************
586  template< typename T >
587  inline bool canAlias( const T* alias ) const {
588  return ( IsExpression<MT1>::value && ( RequiresEvaluation<MT1>::value ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
589  ( IsExpression<MT2>::value && ( RequiresEvaluation<MT2>::value ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
590  }
591  //**********************************************************************************************
592 
593  //**********************************************************************************************
599  template< typename T >
600  inline bool isAliased( const T* alias ) const {
601  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
602  }
603  //**********************************************************************************************
604 
605  //**********************************************************************************************
610  inline bool isAligned() const {
611  return lhs_.isAligned() && rhs_.isAligned();
612  }
613  //**********************************************************************************************
614 
615  //**********************************************************************************************
620  inline bool canSMPAssign() const {
621  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
622  ( ( ( SO == rowMajor ) ? rows() : columns() ) > SMP_DMATDMATSUB_THRESHOLD );
623  }
624  //**********************************************************************************************
625 
626  private:
627  //**Member variables****************************************************************************
628  LeftOperand lhs_;
629  RightOperand rhs_;
630  //**********************************************************************************************
631 
632  //**Assignment to dense matrices****************************************************************
646  template< typename MT // Type of the target dense matrix
647  , bool SO2 > // Storage order of the target dense matrix
648  friend inline typename EnableIf< UseAssign<MT> >::Type
649  assign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
650  {
652 
653  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
654  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
655 
656  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
657  subAssign( ~lhs, rhs.rhs_ );
658  }
659  else {
660  assign ( ~lhs, rhs.lhs_ );
661  subAssign( ~lhs, rhs.rhs_ );
662  }
663  }
665  //**********************************************************************************************
666 
667  //**Assignment to sparse matrices***************************************************************
681  template< typename MT // Type of the target sparse matrix
682  , bool SO2 > // Storage order of the target sparse matrix
683  friend inline typename EnableIf< UseAssign<MT> >::Type
684  assign( SparseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
685  {
687 
689 
696 
697  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
698  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
699 
700  const TmpType tmp( serial( rhs ) );
701  assign( ~lhs, tmp );
702  }
704  //**********************************************************************************************
705 
706  //**Addition assignment to dense matrices*******************************************************
720  template< typename MT // Type of the target dense matrix
721  , bool SO2 > // Storage order of the target dense matrix
722  friend inline typename EnableIf< UseAssign<MT> >::Type
723  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
724  {
726 
727  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
728  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
729 
730  addAssign( ~lhs, rhs.lhs_ );
731  subAssign( ~lhs, rhs.rhs_ );
732  }
734  //**********************************************************************************************
735 
736  //**Addition assignment to sparse matrices******************************************************
737  // No special implementation for the addition assignment to sparse matrices.
738  //**********************************************************************************************
739 
740  //**Subtraction assignment to dense matrices****************************************************
754  template< typename MT // Type of the target dense matrix
755  , bool SO2 > // Storage order of the target dense matrix
756  friend inline typename EnableIf< UseAssign<MT> >::Type
757  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
758  {
760 
761  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
762  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
763 
764  subAssign( ~lhs, rhs.lhs_ );
765  addAssign( ~lhs, rhs.rhs_ );
766  }
768  //**********************************************************************************************
769 
770  //**Subtraction assignment to sparse matrices***************************************************
771  // No special implementation for the subtraction assignment to sparse matrices.
772  //**********************************************************************************************
773 
774  //**Multiplication assignment to dense matrices*************************************************
775  // No special implementation for the multiplication assignment to dense matrices.
776  //**********************************************************************************************
777 
778  //**Multiplication assignment to sparse matrices************************************************
779  // No special implementation for the multiplication assignment to sparse matrices.
780  //**********************************************************************************************
781 
782  //**SMP assignment to dense matrices************************************************************
796  template< typename MT // Type of the target dense matrix
797  , bool SO2 > // Storage order of the target dense matrix
798  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
799  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
800  {
802 
803  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
804  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
805 
806  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
807  smpSubAssign( ~lhs, rhs.rhs_ );
808  }
809  else {
810  smpAssign ( ~lhs, rhs.lhs_ );
811  smpSubAssign( ~lhs, rhs.rhs_ );
812  }
813  }
815  //**********************************************************************************************
816 
817  //**SMP assignment to sparse matrices***********************************************************
831  template< typename MT // Type of the target sparse matrix
832  , bool SO2 > // Storage order of the target sparse matrix
833  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
834  smpAssign( SparseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
835  {
837 
838  typedef typename SelectType< SO == SO2, ResultType, OppositeType >::Type TmpType;
839 
846 
847  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
848  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
849 
850  const TmpType tmp( rhs );
851  smpAssign( ~lhs, tmp );
852  }
854  //**********************************************************************************************
855 
856  //**SMP addition assignment to dense matrices***************************************************
870  template< typename MT // Type of the target dense matrix
871  , bool SO2 > // Storage order of the target dense matrix
872  friend inline typename EnableIf< UseAssign<MT> >::Type
873  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
874  {
876 
877  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
878  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
879 
880  smpAddAssign( ~lhs, rhs.lhs_ );
881  smpSubAssign( ~lhs, rhs.rhs_ );
882  }
884  //**********************************************************************************************
885 
886  //**SMP addition assignment to sparse matrices**************************************************
887  // No special implementation for the SMP addition assignment to sparse matrices.
888  //**********************************************************************************************
889 
890  //**SMP subtraction assignment to dense matrices************************************************
904  template< typename MT // Type of the target dense matrix
905  , bool SO2 > // Storage order of the target dense matrix
906  friend inline typename EnableIf< UseSMPAssign<MT> >::Type
907  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
908  {
910 
911  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
912  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
913 
914  smpSubAssign( ~lhs, rhs.lhs_ );
915  smpAddAssign( ~lhs, rhs.rhs_ );
916  }
918  //**********************************************************************************************
919 
920  //**SMP subtraction assignment to sparse matrices***********************************************
921  // No special implementation for the SMP subtraction assignment to sparse matrices.
922  //**********************************************************************************************
923 
924  //**SMP multiplication assignment to dense matrices*********************************************
925  // No special implementation for the SMP multiplication assignment to dense matrices.
926  //**********************************************************************************************
927 
928  //**SMP multiplication assignment to sparse matrices********************************************
929  // No special implementation for the SMP multiplication assignment to sparse matrices.
930  //**********************************************************************************************
931 
932  //**Compile time checks*************************************************************************
938  //**********************************************************************************************
939 };
940 //*************************************************************************************************
941 
942 
943 
944 
945 //=================================================================================================
946 //
947 // GLOBAL BINARY ARITHMETIC OPERATORS
948 //
949 //=================================================================================================
950 
951 //*************************************************************************************************
976 template< typename T1 // Type of the left-hand side dense matrix
977  , typename T2 // Type of the right-hand side dense matrix
978  , bool SO > // Storage order
979 inline const DMatDMatSubExpr<T1,T2,SO>
981 {
983 
984  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
985  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
986  }
987 
988  return DMatDMatSubExpr<T1,T2,SO>( ~lhs, ~rhs );
989 }
990 //*************************************************************************************************
991 
992 
993 
994 
995 //=================================================================================================
996 //
997 // ROWS SPECIALIZATIONS
998 //
999 //=================================================================================================
1000 
1001 //*************************************************************************************************
1003 template< typename MT1, typename MT2, bool SO >
1004 struct Rows< DMatDMatSubExpr<MT1,MT2,SO> >
1005  : public Max< Rows<MT1>, Rows<MT2> >
1006 {};
1008 //*************************************************************************************************
1009 
1010 
1011 
1012 
1013 //=================================================================================================
1014 //
1015 // COLUMNS SPECIALIZATIONS
1016 //
1017 //=================================================================================================
1018 
1019 //*************************************************************************************************
1021 template< typename MT1, typename MT2, bool SO >
1022 struct Columns< DMatDMatSubExpr<MT1,MT2,SO> >
1023  : public Max< Columns<MT1>, Columns<MT2> >
1024 {};
1026 //*************************************************************************************************
1027 
1028 
1029 
1030 
1031 //=================================================================================================
1032 //
1033 // ISALIGNED SPECIALIZATIONS
1034 //
1035 //=================================================================================================
1036 
1037 //*************************************************************************************************
1039 template< typename MT1, typename MT2, bool SO >
1040 struct IsAligned< DMatDMatSubExpr<MT1,MT2,SO> >
1041  : public IsTrue< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1042 {};
1044 //*************************************************************************************************
1045 
1046 
1047 
1048 
1049 //=================================================================================================
1050 //
1051 // ISPADDED SPECIALIZATIONS
1052 //
1053 //=================================================================================================
1054 
1055 //*************************************************************************************************
1057 template< typename MT1, typename MT2, bool SO >
1058 struct IsPadded< DMatDMatSubExpr<MT1,MT2,SO> >
1059  : public IsTrue< And< IsPadded<MT1>, IsPadded<MT2> >::value >
1060 {};
1062 //*************************************************************************************************
1063 
1064 
1065 
1066 
1067 //=================================================================================================
1068 //
1069 // ISSYMMETRIC SPECIALIZATIONS
1070 //
1071 //=================================================================================================
1072 
1073 //*************************************************************************************************
1075 template< typename MT1, typename MT2, bool SO >
1076 struct IsSymmetric< DMatDMatSubExpr<MT1,MT2,SO> >
1077  : public IsTrue< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1078 {};
1080 //*************************************************************************************************
1081 
1082 
1083 
1084 
1085 //=================================================================================================
1086 //
1087 // ISHERMITIAN SPECIALIZATIONS
1088 //
1089 //=================================================================================================
1090 
1091 //*************************************************************************************************
1093 template< typename MT1, typename MT2, bool SO >
1094 struct IsHermitian< DMatDMatSubExpr<MT1,MT2,SO> >
1095  : public IsTrue< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1096 {};
1098 //*************************************************************************************************
1099 
1100 
1101 
1102 
1103 //=================================================================================================
1104 //
1105 // ISLOWER SPECIALIZATIONS
1106 //
1107 //=================================================================================================
1108 
1109 //*************************************************************************************************
1111 template< typename MT1, typename MT2, bool SO >
1112 struct IsLower< DMatDMatSubExpr<MT1,MT2,SO> >
1113  : public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
1114 {};
1116 //*************************************************************************************************
1117 
1118 
1119 
1120 
1121 //=================================================================================================
1122 //
1123 // ISUNILOWER SPECIALIZATIONS
1124 //
1125 //=================================================================================================
1126 
1127 //*************************************************************************************************
1129 template< typename MT1, typename MT2, bool SO >
1130 struct IsUniLower< DMatDMatSubExpr<MT1,MT2,SO> >
1131  : public IsTrue< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1132 {};
1134 //*************************************************************************************************
1135 
1136 
1137 
1138 
1139 //=================================================================================================
1140 //
1141 // ISSTRICTLYLOWER SPECIALIZATIONS
1142 //
1143 //=================================================================================================
1144 
1145 //*************************************************************************************************
1147 template< typename MT1, typename MT2, bool SO >
1148 struct IsStrictlyLower< DMatDMatSubExpr<MT1,MT2,SO> >
1149  : public IsTrue< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1150 {};
1152 //*************************************************************************************************
1153 
1154 
1155 
1156 
1157 //=================================================================================================
1158 //
1159 // ISUPPER SPECIALIZATIONS
1160 //
1161 //=================================================================================================
1162 
1163 //*************************************************************************************************
1165 template< typename MT1, typename MT2, bool SO >
1166 struct IsUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1167  : public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1168 {};
1170 //*************************************************************************************************
1171 
1172 
1173 
1174 
1175 //=================================================================================================
1176 //
1177 // ISUNIUPPER SPECIALIZATIONS
1178 //
1179 //=================================================================================================
1180 
1181 //*************************************************************************************************
1183 template< typename MT1, typename MT2, bool SO >
1184 struct IsUniUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1185  : public IsTrue< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1186 {};
1188 //*************************************************************************************************
1189 
1190 
1191 
1192 
1193 //=================================================================================================
1194 //
1195 // ISSTRICTLYUPPER SPECIALIZATIONS
1196 //
1197 //=================================================================================================
1198 
1199 //*************************************************************************************************
1201 template< typename MT1, typename MT2, bool SO >
1202 struct IsStrictlyUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1203  : public IsTrue< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1204 {};
1206 //*************************************************************************************************
1207 
1208 
1209 
1210 
1211 //=================================================================================================
1212 //
1213 // EXPRESSION TRAIT SPECIALIZATIONS
1214 //
1215 //=================================================================================================
1216 
1217 //*************************************************************************************************
1219 template< typename MT1, typename MT2, bool SO, bool AF >
1220 struct SubmatrixExprTrait< DMatDMatSubExpr<MT1,MT2,SO>, AF >
1221 {
1222  public:
1223  //**********************************************************************************************
1224  typedef typename SubExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1225  , typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1226  //**********************************************************************************************
1227 };
1229 //*************************************************************************************************
1230 
1231 
1232 //*************************************************************************************************
1234 template< typename MT1, typename MT2, bool SO >
1235 struct RowExprTrait< DMatDMatSubExpr<MT1,MT2,SO> >
1236 {
1237  public:
1238  //**********************************************************************************************
1239  typedef typename SubExprTrait< typename RowExprTrait<const MT1>::Type
1240  , typename RowExprTrait<const MT2>::Type >::Type Type;
1241  //**********************************************************************************************
1242 };
1244 //*************************************************************************************************
1245 
1246 
1247 //*************************************************************************************************
1249 template< typename MT1, typename MT2, bool SO >
1250 struct ColumnExprTrait< DMatDMatSubExpr<MT1,MT2,SO> >
1251 {
1252  public:
1253  //**********************************************************************************************
1254  typedef typename SubExprTrait< typename ColumnExprTrait<const MT1>::Type
1255  , typename ColumnExprTrait<const MT2>::Type >::Type Type;
1256  //**********************************************************************************************
1257 };
1259 //*************************************************************************************************
1260 
1261 } // namespace blaze
1262 
1263 #endif
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
Pointer difference type of the Blaze library.
Header file for the Max class template.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatSubExpr.h:273
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:305
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.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:261
Header file for the IsUniUpper type trait.
Header file for the subtraction 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:252
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:587
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:359
const SelectType< returnExpr, ExprReturnType, ElementType >::Type ReturnType
Return type for expression template evaluations.
Definition: DMatDMatSubExpr.h:179
ElementType * PointerType
Pointer return type.
Definition: DMatDMatSubExpr.h:200
IntrinsicTrait< ElementType >::Type IntrinsicType
Resulting intrinsic element type.
Definition: DMatDMatSubExpr.h:176
#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:81
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
DMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the DMatDMatSubExpr class.
Definition: DMatDMatSubExpr.h:457
#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()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:473
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:647
Header file for the ColumnExprTrait class template.
Header file for the IsSame and IsStrictlySame type traits.
IntrinsicType load() const
Access to the intrinsic elements of the matrix.
Definition: DMatDMatSubExpr.h:315
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
MT1::ReturnType RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:114
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:283
Header file for the And class template.
PointerType pointer
Pointer return type.
Definition: DMatDMatSubExpr.h:207
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.
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
MT2::ConstIterator RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:215
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Iterator over the elements of the dense matrix.
Definition: DMatDMatSubExpr.h:194
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:117
Constraint on the data type.
ResultType::ElementType ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:175
MT1::CompositeType CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:116
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
DifferenceType difference_type
Difference between two iterators.
Definition: DMatDMatSubExpr.h:209
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:629
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:106
BLAZE_ALWAYS_INLINE IntrinsicType load(size_t i, size_t j) const
Access to the intrinsic elements of the matrix.
Definition: DMatDMatSubExpr.h:506
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
size_t rows() const
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:545
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
SubTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:172
Header file for the IsSymmetric type trait.
Base class for all matrix/matrix subtraction expression templates.The MatMatSubExpr class serves as a...
Definition: MatMatSubExpr.h:65
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
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatSubExpr.h:524
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:199
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exceptionThis macro encapsulates the default way of Bla...
Definition: Exception.h:331
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
DMatDMatSubExpr< MT1, MT2, SO > This
Type of this DMatDMatSubExpr instance.
Definition: DMatDMatSubExpr.h:171
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:198
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:185
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:436
Header file for the MatMatSubExpr base class.
ReferenceType reference
Reference return type.
Definition: DMatDMatSubExpr.h:208
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatSubExpr.h:620
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc)
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:642
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatSubExpr.h:224
#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
bool isAligned() const
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:610
Constraints on the storage order of matrix types.
MT1::ElementType ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:118
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatSubExpr.h:535
Evaluation of the return type of a subtraction expression.Via this type trait it is possible to evalu...
Definition: SubExprTrait.h:104
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:2586
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatSubExpr.h:174
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:188
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the IsPadded type trait.
Header file for the serial shim.
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:370
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:173
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:206
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:337
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:392
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:2587
MT2::CompositeType CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:117
Intrinsic characteristics of data types.The IntrinsicTrait class template provides the intrinsic char...
Definition: IntrinsicTrait.h:1232
Header file for run time assertion macros.
MT2::ElementType ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:119
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
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:326
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:416
MT2::ReturnType RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:115
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatSubExpr.h:249
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:428
#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:122
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:381
RightOperand rightOperand() const
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:575
Header file for all intrinsic functionality.
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatDMatSubExpr.h:202
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:201
MT2::ResultType RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:113
const bool rowMajor
Storage order flag for row-major matrices.
Definition: StorageOrder.h:71
SelectType< useAssign, const ResultType, const DMatDMatSubExpr & >::Type CompositeType
Data type for composite expression templates.
Definition: DMatDMatSubExpr.h:182
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatSubExpr.h:205
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
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 leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:565
SubExprTrait< RN1, RN2 >::Type ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:132
#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
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatSubExpr.h:435
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
Header file for the IsTrue value trait.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatSubExpr.h:600
MT1::ResultType RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:112
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:348
MT1::ConstIterator LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:212
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATSUBEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatSubExpr.h:165
Base template for the SubTrait class.
Definition: SubTrait.h:138
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:628
Header file for the IsUpper type trait.
Header file for exception macros.
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:404
size_t columns() const
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:555
Header file for the IsHermitian type trait.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:295
Header file for the SubExprTrait class template.
System settings for the inline keywords.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#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
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.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatSubExpr.h:488
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:236