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>
44 #include <blaze/math/Aliases.h>
49 #include <blaze/math/Exception.h>
55 #include <blaze/math/SIMD.h>
74 #include <blaze/system/Inline.h>
76 #include <blaze/util/Assert.h>
77 #include <blaze/util/EnableIf.h>
79 #include <blaze/util/mpl/And.h>
80 #include <blaze/util/mpl/If.h>
81 #include <blaze/util/mpl/Maximum.h>
82 #include <blaze/util/Types.h>
83 
84 
85 namespace blaze {
86 
87 //=================================================================================================
88 //
89 // CLASS DMATDMATSUBEXPR
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
104  : public MatMatSubExpr< DenseMatrix< DMatDMatSubExpr<MT1,MT2,SO>, SO > >
105  , private Computation
106 {
107  private:
108  //**Type definitions****************************************************************************
117  //**********************************************************************************************
118 
119  //**Return type evaluation**********************************************************************
121 
126  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
127 
130  //**********************************************************************************************
131 
132  //**Serial evaluation strategy******************************************************************
134 
140  enum : bool { useAssign = RequiresEvaluation<MT1>::value || RequiresEvaluation<MT2>::value || !returnExpr };
141 
143  template< typename MT >
145  struct UseAssign {
146  enum : bool { value = useAssign };
147  };
149  //**********************************************************************************************
150 
151  //**Parallel evaluation strategy****************************************************************
153 
159  template< typename MT >
160  struct UseSMPAssign {
161  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
162  };
164  //**********************************************************************************************
165 
166  public:
167  //**Type definitions****************************************************************************
173 
176 
179 
181  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
182 
184  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
185  //**********************************************************************************************
186 
187  //**ConstIterator class definition**************************************************************
191  {
192  public:
193  //**Type definitions*************************************************************************
194  using IteratorCategory = std::random_access_iterator_tag;
199 
200  // STL iterator requirements
206 
209 
212  //*******************************************************************************************
213 
214  //**Constructor******************************************************************************
220  explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
221  : left_ ( left ) // Iterator to the current left-hand side element
222  , right_( right ) // Iterator to the current right-hand side element
223  {}
224  //*******************************************************************************************
225 
226  //**Addition assignment operator*************************************************************
232  inline ConstIterator& operator+=( size_t inc ) {
233  left_ += inc;
234  right_ += inc;
235  return *this;
236  }
237  //*******************************************************************************************
238 
239  //**Subtraction assignment operator**********************************************************
245  inline ConstIterator& operator-=( size_t dec ) {
246  left_ -= dec;
247  right_ -= dec;
248  return *this;
249  }
250  //*******************************************************************************************
251 
252  //**Prefix increment operator****************************************************************
258  ++left_;
259  ++right_;
260  return *this;
261  }
262  //*******************************************************************************************
263 
264  //**Postfix increment operator***************************************************************
269  inline const ConstIterator operator++( int ) {
270  return ConstIterator( left_++, right_++ );
271  }
272  //*******************************************************************************************
273 
274  //**Prefix decrement operator****************************************************************
280  --left_;
281  --right_;
282  return *this;
283  }
284  //*******************************************************************************************
285 
286  //**Postfix decrement operator***************************************************************
291  inline const ConstIterator operator--( int ) {
292  return ConstIterator( left_--, right_-- );
293  }
294  //*******************************************************************************************
295 
296  //**Element access operator******************************************************************
301  inline ReturnType operator*() const {
302  return (*left_) - (*right_);
303  }
304  //*******************************************************************************************
305 
306  //**Load function****************************************************************************
311  inline auto load() const noexcept {
312  return left_.load() - right_.load();
313  }
314  //*******************************************************************************************
315 
316  //**Equality operator************************************************************************
322  inline bool operator==( const ConstIterator& rhs ) const {
323  return left_ == rhs.left_;
324  }
325  //*******************************************************************************************
326 
327  //**Inequality operator**********************************************************************
333  inline bool operator!=( const ConstIterator& rhs ) const {
334  return left_ != rhs.left_;
335  }
336  //*******************************************************************************************
337 
338  //**Less-than operator***********************************************************************
344  inline bool operator<( const ConstIterator& rhs ) const {
345  return left_ < rhs.left_;
346  }
347  //*******************************************************************************************
348 
349  //**Greater-than operator********************************************************************
355  inline bool operator>( const ConstIterator& rhs ) const {
356  return left_ > rhs.left_;
357  }
358  //*******************************************************************************************
359 
360  //**Less-or-equal-than operator**************************************************************
366  inline bool operator<=( const ConstIterator& rhs ) const {
367  return left_ <= rhs.left_;
368  }
369  //*******************************************************************************************
370 
371  //**Greater-or-equal-than operator***********************************************************
377  inline bool operator>=( const ConstIterator& rhs ) const {
378  return left_ >= rhs.left_;
379  }
380  //*******************************************************************************************
381 
382  //**Subtraction operator*********************************************************************
388  inline DifferenceType operator-( const ConstIterator& rhs ) const {
389  return left_ - rhs.left_;
390  }
391  //*******************************************************************************************
392 
393  //**Addition operator************************************************************************
400  friend inline const ConstIterator operator+( const ConstIterator& it, size_t inc ) {
401  return ConstIterator( it.left_ + inc, it.right_ + inc );
402  }
403  //*******************************************************************************************
404 
405  //**Addition operator************************************************************************
412  friend inline const ConstIterator operator+( size_t inc, const ConstIterator& it ) {
413  return ConstIterator( it.left_ + inc, it.right_ + inc );
414  }
415  //*******************************************************************************************
416 
417  //**Subtraction operator*********************************************************************
424  friend inline const ConstIterator operator-( const ConstIterator& it, size_t dec ) {
425  return ConstIterator( it.left_ - dec, it.right_ - dec );
426  }
427  //*******************************************************************************************
428 
429  private:
430  //**Member variables*************************************************************************
433  //*******************************************************************************************
434  };
435  //**********************************************************************************************
436 
437  //**Compilation flags***************************************************************************
439  enum : bool { simdEnabled = MT1::simdEnabled && MT2::simdEnabled &&
441 
443  enum : bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
444  //**********************************************************************************************
445 
446  //**SIMD properties*****************************************************************************
448  enum : size_t { SIMDSIZE = SIMDTrait<ElementType>::size };
449  //**********************************************************************************************
450 
451  //**Constructor*********************************************************************************
457  explicit inline DMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
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 auto load( size_t i, size_t j ) const noexcept {
507  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
508  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
509  BLAZE_INTERNAL_ASSERT( !SO || ( i % SIMDSIZE == 0UL ), "Invalid row access index" );
510  BLAZE_INTERNAL_ASSERT( SO || ( j % SIMDSIZE == 0UL ), "Invalid column access index" );
511  return lhs_.load(i,j) - rhs_.load(i,j);
512  }
513  //**********************************************************************************************
514 
515  //**Begin function******************************************************************************
521  inline ConstIterator begin( size_t i ) const {
522  return ConstIterator( lhs_.begin(i), rhs_.begin(i) );
523  }
524  //**********************************************************************************************
525 
526  //**End function********************************************************************************
532  inline ConstIterator end( size_t i ) const {
533  return ConstIterator( lhs_.end(i), rhs_.end(i) );
534  }
535  //**********************************************************************************************
536 
537  //**Rows function*******************************************************************************
542  inline size_t rows() const noexcept {
543  return lhs_.rows();
544  }
545  //**********************************************************************************************
546 
547  //**Columns function****************************************************************************
552  inline size_t columns() const noexcept {
553  return lhs_.columns();
554  }
555  //**********************************************************************************************
556 
557  //**Left operand access*************************************************************************
562  inline LeftOperand leftOperand() const noexcept {
563  return lhs_;
564  }
565  //**********************************************************************************************
566 
567  //**Right operand access************************************************************************
572  inline RightOperand rightOperand() const noexcept {
573  return rhs_;
574  }
575  //**********************************************************************************************
576 
577  //**********************************************************************************************
583  template< typename T >
584  inline bool canAlias( const T* alias ) const noexcept {
585  return ( IsExpression<MT1>::value && ( RequiresEvaluation<MT1>::value ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
586  ( IsExpression<MT2>::value && ( RequiresEvaluation<MT2>::value ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
587  }
588  //**********************************************************************************************
589 
590  //**********************************************************************************************
596  template< typename T >
597  inline bool isAliased( const T* alias ) const noexcept {
598  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
599  }
600  //**********************************************************************************************
601 
602  //**********************************************************************************************
607  inline bool isAligned() const noexcept {
608  return lhs_.isAligned() && rhs_.isAligned();
609  }
610  //**********************************************************************************************
611 
612  //**********************************************************************************************
617  inline bool canSMPAssign() const noexcept {
618  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
619  ( rows() * columns() >= SMP_DMATDMATSUB_THRESHOLD );
620  }
621  //**********************************************************************************************
622 
623  private:
624  //**Member variables****************************************************************************
627  //**********************************************************************************************
628 
629  //**Assignment to dense matrices****************************************************************
643  template< typename MT // Type of the target dense matrix
644  , bool SO2 > // Storage order of the target dense matrix
645  friend inline EnableIf_< UseAssign<MT> >
646  assign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
647  {
649 
650  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
651  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
652 
653  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
654  subAssign( ~lhs, rhs.rhs_ );
655  }
656  else {
657  assign ( ~lhs, rhs.lhs_ );
658  subAssign( ~lhs, rhs.rhs_ );
659  }
660  }
662  //**********************************************************************************************
663 
664  //**Assignment to sparse matrices***************************************************************
678  template< typename MT // Type of the target sparse matrix
679  , bool SO2 > // Storage order of the target sparse matrix
680  friend inline EnableIf_< UseAssign<MT> >
681  assign( SparseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
682  {
684 
686 
693 
694  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
695  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
696 
697  const TmpType tmp( serial( rhs ) );
698  assign( ~lhs, tmp );
699  }
701  //**********************************************************************************************
702 
703  //**Addition assignment to dense matrices*******************************************************
717  template< typename MT // Type of the target dense matrix
718  , bool SO2 > // Storage order of the target dense matrix
719  friend inline EnableIf_< UseAssign<MT> >
720  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
721  {
723 
724  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
725  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
726 
727  addAssign( ~lhs, rhs.lhs_ );
728  subAssign( ~lhs, rhs.rhs_ );
729  }
731  //**********************************************************************************************
732 
733  //**Addition assignment to sparse matrices******************************************************
734  // No special implementation for the addition assignment to sparse matrices.
735  //**********************************************************************************************
736 
737  //**Subtraction assignment to dense matrices****************************************************
751  template< typename MT // Type of the target dense matrix
752  , bool SO2 > // Storage order of the target dense matrix
753  friend inline EnableIf_< UseAssign<MT> >
754  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
755  {
757 
758  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
759  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
760 
761  subAssign( ~lhs, rhs.lhs_ );
762  addAssign( ~lhs, rhs.rhs_ );
763  }
765  //**********************************************************************************************
766 
767  //**Subtraction assignment to sparse matrices***************************************************
768  // No special implementation for the subtraction assignment to sparse matrices.
769  //**********************************************************************************************
770 
771  //**Schur product assignment to dense matrices**************************************************
785  template< typename MT // Type of the target dense matrix
786  , bool SO2 > // Storage order of the target dense matrix
787  friend inline EnableIf_< UseAssign<MT> >
788  schurAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
789  {
791 
795 
796  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
797  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
798 
799  const ResultType tmp( serial( rhs ) );
800  schurAssign( ~lhs, tmp );
801  }
803  //**********************************************************************************************
804 
805  //**Schur product assignment to sparse matrices*************************************************
806  // No special implementation for the Schur product assignment to sparse matrices.
807  //**********************************************************************************************
808 
809  //**Multiplication assignment to dense matrices*************************************************
810  // No special implementation for the multiplication assignment to dense matrices.
811  //**********************************************************************************************
812 
813  //**Multiplication assignment to sparse matrices************************************************
814  // No special implementation for the multiplication assignment to sparse matrices.
815  //**********************************************************************************************
816 
817  //**SMP assignment to dense matrices************************************************************
831  template< typename MT // Type of the target dense matrix
832  , bool SO2 > // Storage order of the target dense matrix
833  friend inline EnableIf_< UseSMPAssign<MT> >
834  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
835  {
837 
838  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
839  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
840 
841  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
842  smpSubAssign( ~lhs, rhs.rhs_ );
843  }
844  else {
845  smpAssign ( ~lhs, rhs.lhs_ );
846  smpSubAssign( ~lhs, rhs.rhs_ );
847  }
848  }
850  //**********************************************************************************************
851 
852  //**SMP assignment to sparse matrices***********************************************************
866  template< typename MT // Type of the target sparse matrix
867  , bool SO2 > // Storage order of the target sparse matrix
868  friend inline EnableIf_< UseSMPAssign<MT> >
870  {
872 
874 
881 
882  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
883  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
884 
885  const TmpType tmp( rhs );
886  smpAssign( ~lhs, tmp );
887  }
889  //**********************************************************************************************
890 
891  //**SMP addition assignment to dense matrices***************************************************
905  template< typename MT // Type of the target dense matrix
906  , bool SO2 > // Storage order of the target dense matrix
907  friend inline EnableIf_< UseAssign<MT> >
909  {
911 
912  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
913  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
914 
915  smpAddAssign( ~lhs, rhs.lhs_ );
916  smpSubAssign( ~lhs, rhs.rhs_ );
917  }
919  //**********************************************************************************************
920 
921  //**SMP addition assignment to sparse matrices**************************************************
922  // No special implementation for the SMP addition assignment to sparse matrices.
923  //**********************************************************************************************
924 
925  //**SMP subtraction assignment to dense matrices************************************************
939  template< typename MT // Type of the target dense matrix
940  , bool SO2 > // Storage order of the target dense matrix
941  friend inline EnableIf_< UseSMPAssign<MT> >
943  {
945 
946  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
947  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
948 
949  smpSubAssign( ~lhs, rhs.lhs_ );
950  smpAddAssign( ~lhs, rhs.rhs_ );
951  }
953  //**********************************************************************************************
954 
955  //**SMP subtraction assignment to sparse matrices***********************************************
956  // No special implementation for the SMP subtraction assignment to sparse matrices.
957  //**********************************************************************************************
958 
959  //**SMP Schur product assignment to dense matrices**********************************************
974  template< typename MT // Type of the target dense matrix
975  , bool SO2 > // Storage order of the target dense matrix
976  friend inline EnableIf_< UseSMPAssign<MT> >
978  {
980 
984 
985  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
986  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
987 
988  const ResultType tmp( rhs );
989  smpSchurAssign( ~lhs, tmp );
990  }
992  //**********************************************************************************************
993 
994  //**SMP Schur product assignment to sparse matrices*********************************************
995  // No special implementation for the SMP Schur product assignment to sparse matrices.
996  //**********************************************************************************************
997 
998  //**SMP multiplication assignment to dense matrices*********************************************
999  // No special implementation for the SMP multiplication assignment to dense matrices.
1000  //**********************************************************************************************
1001 
1002  //**SMP multiplication assignment to sparse matrices********************************************
1003  // No special implementation for the SMP multiplication assignment to sparse matrices.
1004  //**********************************************************************************************
1005 
1006  //**Compile time checks*************************************************************************
1012  //**********************************************************************************************
1013 };
1014 //*************************************************************************************************
1015 
1016 
1017 
1018 
1019 //=================================================================================================
1020 //
1021 // GLOBAL BINARY ARITHMETIC OPERATORS
1022 //
1023 //=================================================================================================
1024 
1025 //*************************************************************************************************
1050 template< typename MT1 // Type of the left-hand side dense matrix
1051  , typename MT2 // Type of the right-hand side dense matrix
1052  , bool SO > // Storage order
1053 inline decltype(auto)
1054  operator-( const DenseMatrix<MT1,SO>& lhs, const DenseMatrix<MT2,SO>& rhs )
1055 {
1057 
1058  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1059  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1060  }
1061 
1063  return ReturnType( ~lhs, ~rhs );
1064 }
1065 //*************************************************************************************************
1066 
1067 
1068 
1069 
1070 //=================================================================================================
1071 //
1072 // SIZE SPECIALIZATIONS
1073 //
1074 //=================================================================================================
1075 
1076 //*************************************************************************************************
1078 template< typename MT1, typename MT2, bool SO >
1079 struct Size< DMatDMatSubExpr<MT1,MT2,SO>, 0UL >
1080  : public Maximum< Size<MT1,0UL>, Size<MT2,0UL> >
1081 {};
1082 
1083 template< typename MT1, typename MT2, bool SO >
1084 struct Size< DMatDMatSubExpr<MT1,MT2,SO>, 1UL >
1085  : public Maximum< Size<MT1,1UL>, Size<MT2,1UL> >
1086 {};
1088 //*************************************************************************************************
1089 
1090 
1091 
1092 
1093 //=================================================================================================
1094 //
1095 // ISALIGNED SPECIALIZATIONS
1096 //
1097 //=================================================================================================
1098 
1099 //*************************************************************************************************
1101 template< typename MT1, typename MT2, bool SO >
1102 struct IsAligned< DMatDMatSubExpr<MT1,MT2,SO> >
1103  : public And< IsAligned<MT1>, IsAligned<MT2> >
1104 {};
1106 //*************************************************************************************************
1107 
1108 
1109 
1110 
1111 //=================================================================================================
1112 //
1113 // ISPADDED SPECIALIZATIONS
1114 //
1115 //=================================================================================================
1116 
1117 //*************************************************************************************************
1119 template< typename MT1, typename MT2, bool SO >
1120 struct IsPadded< DMatDMatSubExpr<MT1,MT2,SO> >
1121  : public And< IsPadded<MT1>, IsPadded<MT2> >
1122 {};
1124 //*************************************************************************************************
1125 
1126 
1127 
1128 
1129 //=================================================================================================
1130 //
1131 // ISSYMMETRIC SPECIALIZATIONS
1132 //
1133 //=================================================================================================
1134 
1135 //*************************************************************************************************
1137 template< typename MT1, typename MT2, bool SO >
1138 struct IsSymmetric< DMatDMatSubExpr<MT1,MT2,SO> >
1139  : public And< IsSymmetric<MT1>, IsSymmetric<MT2> >
1140 {};
1142 //*************************************************************************************************
1143 
1144 
1145 
1146 
1147 //=================================================================================================
1148 //
1149 // ISHERMITIAN SPECIALIZATIONS
1150 //
1151 //=================================================================================================
1152 
1153 //*************************************************************************************************
1155 template< typename MT1, typename MT2, bool SO >
1156 struct IsHermitian< DMatDMatSubExpr<MT1,MT2,SO> >
1157  : public And< IsHermitian<MT1>, IsHermitian<MT2> >
1158 {};
1160 //*************************************************************************************************
1161 
1162 
1163 
1164 
1165 //=================================================================================================
1166 //
1167 // ISLOWER SPECIALIZATIONS
1168 //
1169 //=================================================================================================
1170 
1171 //*************************************************************************************************
1173 template< typename MT1, typename MT2, bool SO >
1174 struct IsLower< DMatDMatSubExpr<MT1,MT2,SO> >
1175  : public And< IsLower<MT1>, IsLower<MT2> >
1176 {};
1178 //*************************************************************************************************
1179 
1180 
1181 
1182 
1183 //=================================================================================================
1184 //
1185 // ISUNILOWER SPECIALIZATIONS
1186 //
1187 //=================================================================================================
1188 
1189 //*************************************************************************************************
1191 template< typename MT1, typename MT2, bool SO >
1192 struct IsUniLower< DMatDMatSubExpr<MT1,MT2,SO> >
1193  : public And< IsUniLower<MT1>, IsStrictlyLower<MT2> >
1194 {};
1196 //*************************************************************************************************
1197 
1198 
1199 
1200 
1201 //=================================================================================================
1202 //
1203 // ISSTRICTLYLOWER SPECIALIZATIONS
1204 //
1205 //=================================================================================================
1206 
1207 //*************************************************************************************************
1209 template< typename MT1, typename MT2, bool SO >
1210 struct IsStrictlyLower< DMatDMatSubExpr<MT1,MT2,SO> >
1211  : public And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >
1212 {};
1214 //*************************************************************************************************
1215 
1216 
1217 
1218 
1219 //=================================================================================================
1220 //
1221 // ISUPPER SPECIALIZATIONS
1222 //
1223 //=================================================================================================
1224 
1225 //*************************************************************************************************
1227 template< typename MT1, typename MT2, bool SO >
1228 struct IsUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1229  : public And< IsUpper<MT1>, IsUpper<MT2> >
1230 {};
1232 //*************************************************************************************************
1233 
1234 
1235 
1236 
1237 //=================================================================================================
1238 //
1239 // ISUNIUPPER SPECIALIZATIONS
1240 //
1241 //=================================================================================================
1242 
1243 //*************************************************************************************************
1245 template< typename MT1, typename MT2, bool SO >
1246 struct IsUniUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1247  : public And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >
1248 {};
1250 //*************************************************************************************************
1251 
1252 
1253 
1254 
1255 //=================================================================================================
1256 //
1257 // ISSTRICTLYUPPER SPECIALIZATIONS
1258 //
1259 //=================================================================================================
1260 
1261 //*************************************************************************************************
1263 template< typename MT1, typename MT2, bool SO >
1264 struct IsStrictlyUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1265  : public And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >
1266 {};
1268 //*************************************************************************************************
1269 
1270 } // namespace blaze
1271 
1272 #endif
Constraint on the data type.
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Pointer difference type of the Blaze library.
Header file for auxiliary alias declarations.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatSubExpr.h:269
Availability of a SIMD subtraction for the given data types.Depending on the available instruction se...
Definition: HasSIMDSub.h:171
ElementType * PointerType
Pointer return type.
Definition: DMatDMatSubExpr.h:196
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:69
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:114
ConstIterator_< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:208
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:257
Header file for the IsUniUpper type trait.
EnableIf_< IsDenseMatrix< MT1 > > smpSchurAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP Schur product assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:196
Header file for the subtraction trait.
BLAZE_ALWAYS_INLINE bool isSame(const Matrix< MT1, SO1 > &a, const Matrix< MT2, SO2 > &b) noexcept
Returns whether the two given matrices represent the same observable state.
Definition: Matrix.h:949
Header file for basic type definitions.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:110
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:355
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:70
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:388
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:164
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MUST_BE_MATRIX_WITH_STORAGE_ORDER(T, SO)
Constraint on the data type.In case the given data type T is not a dense or sparse matrix type and in...
Definition: StorageOrder.h:63
IfTrue_< useAssign, const ResultType, const DMatDMatSubExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatDMatSubExpr.h:178
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:197
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:279
Header file for the And class template.
Compile time value evaluation.The Maximum alias declaration selects the larger of the two given templ...
Definition: Maximum.h:73
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:542
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:113
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:311
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
Header file for the RequiresEvaluation type trait.
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
PointerType pointer
Pointer return type.
Definition: DMatDMatSubExpr.h:203
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:133
ReferenceType reference
Reference return type.
Definition: DMatDMatSubExpr.h:204
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:112
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
Iterator over the elements of the dense matrix.
Definition: DMatDMatSubExpr.h:190
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:202
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:344
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:363
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:112
Constraint on the data type.
Header file for the Maximum class template.
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:506
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:170
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:71
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatSubExpr.h:171
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:626
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:103
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:181
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
ConstIterator_< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:211
Header file for the IsTemporary type trait class.
Header file for the IsStrictlyUpper type trait.
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:67
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
Header file for the If class template.
Compile time check for data types with padding.This type trait tests whether the given data type empl...
Definition: IsPadded.h:76
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:102
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:366
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatSubExpr.h:521
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatSubExpr.h:175
Header file for the DenseMatrix base class.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3085
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:432
ElementType_< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:116
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Header file for all SIMD functionality.
Header file for the MatMatSubExpr base class.
Header file for the IsOperation type trait class.
Header file for the IsLower type trait.
Header file for the IsAligned type trait.
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatSubExpr.h:220
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
ElementType_< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:115
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Constraint on the data type.
Header file for all forward declarations for expression class templates.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatSubExpr.h:617
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the IsPadded type trait.
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
DMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatSubExpr class.
Definition: DMatDMatSubExpr.h:457
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:584
Header file for run time assertion macros.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:333
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:154
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:377
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:111
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:412
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:169
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:301
SIMD characteristics of data types.The SIMDTrait class template provides the SIMD characteristics of ...
Definition: SIMDTrait.h:296
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatSubExpr.h:488
Compile time check for Hermitian matrices.This type trait tests whether or not the given template par...
Definition: IsHermitian.h:85
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatSubExpr.h:245
Header file for the HasSIMDSub type trait.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:816
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
If_< IsExpression< MT2 >, const MT2, const MT2 &> RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:184
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:572
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:552
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:424
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:263
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatSubExpr.h:597
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatSubExpr.h:201
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:607
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:562
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:172
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:291
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatSubExpr.h:431
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:109
Compile time logical &#39;and&#39; evaluation.The And alias declaration performs at compile time a logical &#39;a...
Definition: And.h:76
#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:107
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:129
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:625
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:400
Header file for the IsHermitian type trait.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:291
Header file for the SubExprTrait class template.
System settings for the inline keywords.
Header file for the Size type trait.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:322
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:194
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
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:195
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:473
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:95
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatSubExpr.h:532
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:232