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>
75 #include <blaze/system/Inline.h>
77 #include <blaze/util/Assert.h>
78 #include <blaze/util/EnableIf.h>
81 #include <blaze/util/mpl/And.h>
82 #include <blaze/util/mpl/If.h>
83 #include <blaze/util/mpl/Maximum.h>
84 #include <blaze/util/Types.h>
85 
86 
87 namespace blaze {
88 
89 //=================================================================================================
90 //
91 // CLASS DMATDMATSUBEXPR
92 //
93 //=================================================================================================
94 
95 //*************************************************************************************************
102 template< typename MT1 // Type of the left-hand side dense matrix
103  , typename MT2 // Type of the right-hand side dense matrix
104  , bool SO > // Storage order
106  : public MatMatSubExpr< DenseMatrix< DMatDMatSubExpr<MT1,MT2,SO>, SO > >
107  , private Computation
108 {
109  private:
110  //**Type definitions****************************************************************************
119  //**********************************************************************************************
120 
121  //**Return type evaluation**********************************************************************
123 
128  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
129 
132  //**********************************************************************************************
133 
134  //**Serial evaluation strategy******************************************************************
136 
142  enum : bool { useAssign = RequiresEvaluation<MT1>::value || RequiresEvaluation<MT2>::value || !returnExpr };
143 
145  template< typename MT >
147  struct UseAssign {
148  enum : bool { value = useAssign };
149  };
151  //**********************************************************************************************
152 
153  //**Parallel evaluation strategy****************************************************************
155 
161  template< typename MT >
162  struct UseSMPAssign {
163  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
164  };
166  //**********************************************************************************************
167 
168  public:
169  //**Type definitions****************************************************************************
175 
178 
181 
183  using LeftOperand = If_< IsExpression<MT1>, const MT1, const MT1& >;
184 
186  using RightOperand = If_< IsExpression<MT2>, const MT2, const MT2& >;
187  //**********************************************************************************************
188 
189  //**ConstIterator class definition**************************************************************
193  {
194  public:
195  //**Type definitions*************************************************************************
196  using IteratorCategory = std::random_access_iterator_tag;
201 
202  // STL iterator requirements
208 
211 
214  //*******************************************************************************************
215 
216  //**Constructor******************************************************************************
222  explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
223  : left_ ( left ) // Iterator to the current left-hand side element
224  , right_( right ) // Iterator to the current right-hand side element
225  {}
226  //*******************************************************************************************
227 
228  //**Addition assignment operator*************************************************************
234  inline ConstIterator& operator+=( size_t inc ) {
235  left_ += inc;
236  right_ += inc;
237  return *this;
238  }
239  //*******************************************************************************************
240 
241  //**Subtraction assignment operator**********************************************************
247  inline ConstIterator& operator-=( size_t dec ) {
248  left_ -= dec;
249  right_ -= dec;
250  return *this;
251  }
252  //*******************************************************************************************
253 
254  //**Prefix increment operator****************************************************************
260  ++left_;
261  ++right_;
262  return *this;
263  }
264  //*******************************************************************************************
265 
266  //**Postfix increment operator***************************************************************
271  inline const ConstIterator operator++( int ) {
272  return ConstIterator( left_++, right_++ );
273  }
274  //*******************************************************************************************
275 
276  //**Prefix decrement operator****************************************************************
282  --left_;
283  --right_;
284  return *this;
285  }
286  //*******************************************************************************************
287 
288  //**Postfix decrement operator***************************************************************
293  inline const ConstIterator operator--( int ) {
294  return ConstIterator( left_--, right_-- );
295  }
296  //*******************************************************************************************
297 
298  //**Element access operator******************************************************************
303  inline ReturnType operator*() const {
304  return (*left_) - (*right_);
305  }
306  //*******************************************************************************************
307 
308  //**Load function****************************************************************************
313  inline auto load() const noexcept {
314  return left_.load() - right_.load();
315  }
316  //*******************************************************************************************
317 
318  //**Equality operator************************************************************************
324  inline bool operator==( const ConstIterator& rhs ) const {
325  return left_ == rhs.left_;
326  }
327  //*******************************************************************************************
328 
329  //**Inequality operator**********************************************************************
335  inline bool operator!=( const ConstIterator& rhs ) const {
336  return left_ != rhs.left_;
337  }
338  //*******************************************************************************************
339 
340  //**Less-than operator***********************************************************************
346  inline bool operator<( const ConstIterator& rhs ) const {
347  return left_ < rhs.left_;
348  }
349  //*******************************************************************************************
350 
351  //**Greater-than operator********************************************************************
357  inline bool operator>( const ConstIterator& rhs ) const {
358  return left_ > rhs.left_;
359  }
360  //*******************************************************************************************
361 
362  //**Less-or-equal-than operator**************************************************************
368  inline bool operator<=( const ConstIterator& rhs ) const {
369  return left_ <= rhs.left_;
370  }
371  //*******************************************************************************************
372 
373  //**Greater-or-equal-than operator***********************************************************
379  inline bool operator>=( const ConstIterator& rhs ) const {
380  return left_ >= rhs.left_;
381  }
382  //*******************************************************************************************
383 
384  //**Subtraction operator*********************************************************************
390  inline DifferenceType operator-( const ConstIterator& rhs ) const {
391  return left_ - rhs.left_;
392  }
393  //*******************************************************************************************
394 
395  //**Addition operator************************************************************************
402  friend inline const ConstIterator operator+( const ConstIterator& it, size_t inc ) {
403  return ConstIterator( it.left_ + inc, it.right_ + inc );
404  }
405  //*******************************************************************************************
406 
407  //**Addition operator************************************************************************
414  friend inline const ConstIterator operator+( size_t inc, const ConstIterator& it ) {
415  return ConstIterator( it.left_ + inc, it.right_ + inc );
416  }
417  //*******************************************************************************************
418 
419  //**Subtraction operator*********************************************************************
426  friend inline const ConstIterator operator-( const ConstIterator& it, size_t dec ) {
427  return ConstIterator( it.left_ - dec, it.right_ - dec );
428  }
429  //*******************************************************************************************
430 
431  private:
432  //**Member variables*************************************************************************
435  //*******************************************************************************************
436  };
437  //**********************************************************************************************
438 
439  //**Compilation flags***************************************************************************
441  enum : bool { simdEnabled = MT1::simdEnabled && MT2::simdEnabled &&
443 
445  enum : bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
446  //**********************************************************************************************
447 
448  //**SIMD properties*****************************************************************************
450  enum : size_t { SIMDSIZE = SIMDTrait<ElementType>::size };
451  //**********************************************************************************************
452 
453  //**Constructor*********************************************************************************
459  explicit inline DMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
460  : lhs_( lhs ) // Left-hand side dense matrix of the subtraction expression
461  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
462  {
463  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
464  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
465  }
466  //**********************************************************************************************
467 
468  //**Access operator*****************************************************************************
475  inline ReturnType operator()( size_t i, size_t j ) const {
476  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
477  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
478  return lhs_(i,j) - rhs_(i,j);
479  }
480  //**********************************************************************************************
481 
482  //**At function*********************************************************************************
490  inline ReturnType at( size_t i, size_t j ) const {
491  if( i >= lhs_.rows() ) {
492  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
493  }
494  if( j >= lhs_.columns() ) {
495  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
496  }
497  return (*this)(i,j);
498  }
499  //**********************************************************************************************
500 
501  //**Load function*******************************************************************************
508  BLAZE_ALWAYS_INLINE auto load( size_t i, size_t j ) const noexcept {
509  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
510  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
511  BLAZE_INTERNAL_ASSERT( !SO || ( i % SIMDSIZE == 0UL ), "Invalid row access index" );
512  BLAZE_INTERNAL_ASSERT( SO || ( j % SIMDSIZE == 0UL ), "Invalid column access index" );
513  return lhs_.load(i,j) - rhs_.load(i,j);
514  }
515  //**********************************************************************************************
516 
517  //**Begin function******************************************************************************
523  inline ConstIterator begin( size_t i ) const {
524  return ConstIterator( lhs_.begin(i), rhs_.begin(i) );
525  }
526  //**********************************************************************************************
527 
528  //**End function********************************************************************************
534  inline ConstIterator end( size_t i ) const {
535  return ConstIterator( lhs_.end(i), rhs_.end(i) );
536  }
537  //**********************************************************************************************
538 
539  //**Rows function*******************************************************************************
544  inline size_t rows() const noexcept {
545  return lhs_.rows();
546  }
547  //**********************************************************************************************
548 
549  //**Columns function****************************************************************************
554  inline size_t columns() const noexcept {
555  return lhs_.columns();
556  }
557  //**********************************************************************************************
558 
559  //**Left operand access*************************************************************************
564  inline LeftOperand leftOperand() const noexcept {
565  return lhs_;
566  }
567  //**********************************************************************************************
568 
569  //**Right operand access************************************************************************
574  inline RightOperand rightOperand() const noexcept {
575  return rhs_;
576  }
577  //**********************************************************************************************
578 
579  //**********************************************************************************************
585  template< typename T >
586  inline bool canAlias( const T* alias ) const noexcept {
587  return ( IsExpression<MT1>::value && ( RequiresEvaluation<MT1>::value ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
588  ( IsExpression<MT2>::value && ( RequiresEvaluation<MT2>::value ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
589  }
590  //**********************************************************************************************
591 
592  //**********************************************************************************************
598  template< typename T >
599  inline bool isAliased( const T* alias ) const noexcept {
600  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
601  }
602  //**********************************************************************************************
603 
604  //**********************************************************************************************
609  inline bool isAligned() const noexcept {
610  return lhs_.isAligned() && rhs_.isAligned();
611  }
612  //**********************************************************************************************
613 
614  //**********************************************************************************************
619  inline bool canSMPAssign() const noexcept {
620  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
621  ( rows() * columns() >= SMP_DMATDMATSUB_THRESHOLD );
622  }
623  //**********************************************************************************************
624 
625  private:
626  //**Member variables****************************************************************************
629  //**********************************************************************************************
630 
631  //**Assignment to dense matrices****************************************************************
645  template< typename MT // Type of the target dense matrix
646  , bool SO2 > // Storage order of the target dense matrix
647  friend inline EnableIf_< UseAssign<MT> >
648  assign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
649  {
651 
652  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
653  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
654 
655  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
656  subAssign( ~lhs, rhs.rhs_ );
657  }
658  else {
659  assign ( ~lhs, rhs.lhs_ );
660  subAssign( ~lhs, rhs.rhs_ );
661  }
662  }
664  //**********************************************************************************************
665 
666  //**Assignment to sparse matrices***************************************************************
680  template< typename MT // Type of the target sparse matrix
681  , bool SO2 > // Storage order of the target sparse matrix
682  friend inline EnableIf_< UseAssign<MT> >
683  assign( SparseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
684  {
686 
688 
695 
696  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
697  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
698 
699  const TmpType tmp( serial( rhs ) );
700  assign( ~lhs, tmp );
701  }
703  //**********************************************************************************************
704 
705  //**Addition assignment to dense matrices*******************************************************
719  template< typename MT // Type of the target dense matrix
720  , bool SO2 > // Storage order of the target dense matrix
721  friend inline EnableIf_< UseAssign<MT> >
722  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
723  {
725 
726  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
727  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
728 
729  addAssign( ~lhs, rhs.lhs_ );
730  subAssign( ~lhs, rhs.rhs_ );
731  }
733  //**********************************************************************************************
734 
735  //**Addition assignment to sparse matrices******************************************************
736  // No special implementation for the addition assignment to sparse matrices.
737  //**********************************************************************************************
738 
739  //**Subtraction assignment to dense matrices****************************************************
753  template< typename MT // Type of the target dense matrix
754  , bool SO2 > // Storage order of the target dense matrix
755  friend inline EnableIf_< UseAssign<MT> >
756  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
757  {
759 
760  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
761  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
762 
763  subAssign( ~lhs, rhs.lhs_ );
764  addAssign( ~lhs, rhs.rhs_ );
765  }
767  //**********************************************************************************************
768 
769  //**Subtraction assignment to sparse matrices***************************************************
770  // No special implementation for the subtraction assignment to sparse matrices.
771  //**********************************************************************************************
772 
773  //**Schur product assignment to dense matrices**************************************************
787  template< typename MT // Type of the target dense matrix
788  , bool SO2 > // Storage order of the target dense matrix
789  friend inline EnableIf_< UseAssign<MT> >
790  schurAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
791  {
793 
797 
798  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
799  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
800 
801  const ResultType tmp( serial( rhs ) );
802  schurAssign( ~lhs, tmp );
803  }
805  //**********************************************************************************************
806 
807  //**Schur product assignment to sparse matrices*************************************************
808  // No special implementation for the Schur product assignment to sparse matrices.
809  //**********************************************************************************************
810 
811  //**Multiplication assignment to dense matrices*************************************************
812  // No special implementation for the multiplication assignment to dense matrices.
813  //**********************************************************************************************
814 
815  //**Multiplication assignment to sparse matrices************************************************
816  // No special implementation for the multiplication assignment to sparse matrices.
817  //**********************************************************************************************
818 
819  //**SMP assignment to dense matrices************************************************************
833  template< typename MT // Type of the target dense matrix
834  , bool SO2 > // Storage order of the target dense matrix
835  friend inline EnableIf_< UseSMPAssign<MT> >
836  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
837  {
839 
840  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
841  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
842 
843  if( !IsOperation<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
844  smpSubAssign( ~lhs, rhs.rhs_ );
845  }
846  else {
847  smpAssign ( ~lhs, rhs.lhs_ );
848  smpSubAssign( ~lhs, rhs.rhs_ );
849  }
850  }
852  //**********************************************************************************************
853 
854  //**SMP assignment to sparse matrices***********************************************************
868  template< typename MT // Type of the target sparse matrix
869  , bool SO2 > // Storage order of the target sparse matrix
870  friend inline EnableIf_< UseSMPAssign<MT> >
872  {
874 
876 
883 
884  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
885  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
886 
887  const TmpType tmp( rhs );
888  smpAssign( ~lhs, tmp );
889  }
891  //**********************************************************************************************
892 
893  //**SMP addition assignment to dense matrices***************************************************
907  template< typename MT // Type of the target dense matrix
908  , bool SO2 > // Storage order of the target dense matrix
909  friend inline EnableIf_< UseAssign<MT> >
911  {
913 
914  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
915  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
916 
917  smpAddAssign( ~lhs, rhs.lhs_ );
918  smpSubAssign( ~lhs, rhs.rhs_ );
919  }
921  //**********************************************************************************************
922 
923  //**SMP addition assignment to sparse matrices**************************************************
924  // No special implementation for the SMP addition assignment to sparse matrices.
925  //**********************************************************************************************
926 
927  //**SMP subtraction assignment to dense matrices************************************************
941  template< typename MT // Type of the target dense matrix
942  , bool SO2 > // Storage order of the target dense matrix
943  friend inline EnableIf_< UseSMPAssign<MT> >
945  {
947 
948  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
949  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
950 
951  smpSubAssign( ~lhs, rhs.lhs_ );
952  smpAddAssign( ~lhs, rhs.rhs_ );
953  }
955  //**********************************************************************************************
956 
957  //**SMP subtraction assignment to sparse matrices***********************************************
958  // No special implementation for the SMP subtraction assignment to sparse matrices.
959  //**********************************************************************************************
960 
961  //**SMP Schur product assignment to dense matrices**********************************************
976  template< typename MT // Type of the target dense matrix
977  , bool SO2 > // Storage order of the target dense matrix
978  friend inline EnableIf_< UseSMPAssign<MT> >
980  {
982 
986 
987  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
988  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
989 
990  const ResultType tmp( rhs );
991  smpSchurAssign( ~lhs, tmp );
992  }
994  //**********************************************************************************************
995 
996  //**SMP Schur product assignment to sparse matrices*********************************************
997  // No special implementation for the SMP Schur product assignment to sparse matrices.
998  //**********************************************************************************************
999 
1000  //**SMP multiplication assignment to dense matrices*********************************************
1001  // No special implementation for the SMP multiplication assignment to dense matrices.
1002  //**********************************************************************************************
1003 
1004  //**SMP multiplication assignment to sparse matrices********************************************
1005  // No special implementation for the SMP multiplication assignment to sparse matrices.
1006  //**********************************************************************************************
1007 
1008  //**Compile time checks*************************************************************************
1014  //**********************************************************************************************
1015 };
1016 //*************************************************************************************************
1017 
1018 
1019 
1020 
1021 //=================================================================================================
1022 //
1023 // GLOBAL BINARY ARITHMETIC OPERATORS
1024 //
1025 //=================================================================================================
1026 
1027 //*************************************************************************************************
1052 template< typename MT1 // Type of the left-hand side dense matrix
1053  , typename MT2 // Type of the right-hand side dense matrix
1054  , bool SO > // Storage order
1055 inline decltype(auto)
1056  operator-( const DenseMatrix<MT1,SO>& lhs, const DenseMatrix<MT2,SO>& rhs )
1057 {
1059 
1060  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
1061  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
1062  }
1063 
1065  return ReturnType( ~lhs, ~rhs );
1066 }
1067 //*************************************************************************************************
1068 
1069 
1070 
1071 
1072 //=================================================================================================
1073 //
1074 // ROWS SPECIALIZATIONS
1075 //
1076 //=================================================================================================
1077 
1078 //*************************************************************************************************
1080 template< typename MT1, typename MT2, bool SO >
1081 struct Rows< DMatDMatSubExpr<MT1,MT2,SO> >
1082  : public Maximum< Rows<MT1>, Rows<MT2> >
1083 {};
1085 //*************************************************************************************************
1086 
1087 
1088 
1089 
1090 //=================================================================================================
1091 //
1092 // COLUMNS SPECIALIZATIONS
1093 //
1094 //=================================================================================================
1095 
1096 //*************************************************************************************************
1098 template< typename MT1, typename MT2, bool SO >
1099 struct Columns< DMatDMatSubExpr<MT1,MT2,SO> >
1100  : public Maximum< Columns<MT1>, Columns<MT2> >
1101 {};
1103 //*************************************************************************************************
1104 
1105 
1106 
1107 
1108 //=================================================================================================
1109 //
1110 // ISALIGNED SPECIALIZATIONS
1111 //
1112 //=================================================================================================
1113 
1114 //*************************************************************************************************
1116 template< typename MT1, typename MT2, bool SO >
1117 struct IsAligned< DMatDMatSubExpr<MT1,MT2,SO> >
1118  : public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1119 {};
1121 //*************************************************************************************************
1122 
1123 
1124 
1125 
1126 //=================================================================================================
1127 //
1128 // ISPADDED SPECIALIZATIONS
1129 //
1130 //=================================================================================================
1131 
1132 //*************************************************************************************************
1134 template< typename MT1, typename MT2, bool SO >
1135 struct IsPadded< DMatDMatSubExpr<MT1,MT2,SO> >
1136  : public BoolConstant< And< IsPadded<MT1>, IsPadded<MT2> >::value >
1137 {};
1139 //*************************************************************************************************
1140 
1141 
1142 
1143 
1144 //=================================================================================================
1145 //
1146 // ISSYMMETRIC SPECIALIZATIONS
1147 //
1148 //=================================================================================================
1149 
1150 //*************************************************************************************************
1152 template< typename MT1, typename MT2, bool SO >
1153 struct IsSymmetric< DMatDMatSubExpr<MT1,MT2,SO> >
1154  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1155 {};
1157 //*************************************************************************************************
1158 
1159 
1160 
1161 
1162 //=================================================================================================
1163 //
1164 // ISHERMITIAN SPECIALIZATIONS
1165 //
1166 //=================================================================================================
1167 
1168 //*************************************************************************************************
1170 template< typename MT1, typename MT2, bool SO >
1171 struct IsHermitian< DMatDMatSubExpr<MT1,MT2,SO> >
1172  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1173 {};
1175 //*************************************************************************************************
1176 
1177 
1178 
1179 
1180 //=================================================================================================
1181 //
1182 // ISLOWER SPECIALIZATIONS
1183 //
1184 //=================================================================================================
1185 
1186 //*************************************************************************************************
1188 template< typename MT1, typename MT2, bool SO >
1189 struct IsLower< DMatDMatSubExpr<MT1,MT2,SO> >
1190  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1191 {};
1193 //*************************************************************************************************
1194 
1195 
1196 
1197 
1198 //=================================================================================================
1199 //
1200 // ISUNILOWER SPECIALIZATIONS
1201 //
1202 //=================================================================================================
1203 
1204 //*************************************************************************************************
1206 template< typename MT1, typename MT2, bool SO >
1207 struct IsUniLower< DMatDMatSubExpr<MT1,MT2,SO> >
1208  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1209 {};
1211 //*************************************************************************************************
1212 
1213 
1214 
1215 
1216 //=================================================================================================
1217 //
1218 // ISSTRICTLYLOWER SPECIALIZATIONS
1219 //
1220 //=================================================================================================
1221 
1222 //*************************************************************************************************
1224 template< typename MT1, typename MT2, bool SO >
1225 struct IsStrictlyLower< DMatDMatSubExpr<MT1,MT2,SO> >
1226  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1227 {};
1229 //*************************************************************************************************
1230 
1231 
1232 
1233 
1234 //=================================================================================================
1235 //
1236 // ISUPPER SPECIALIZATIONS
1237 //
1238 //=================================================================================================
1239 
1240 //*************************************************************************************************
1242 template< typename MT1, typename MT2, bool SO >
1243 struct IsUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1244  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1245 {};
1247 //*************************************************************************************************
1248 
1249 
1250 
1251 
1252 //=================================================================================================
1253 //
1254 // ISUNIUPPER SPECIALIZATIONS
1255 //
1256 //=================================================================================================
1257 
1258 //*************************************************************************************************
1260 template< typename MT1, typename MT2, bool SO >
1261 struct IsUniUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1262  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1263 {};
1265 //*************************************************************************************************
1266 
1267 
1268 
1269 
1270 //=================================================================================================
1271 //
1272 // ISSTRICTLYUPPER SPECIALIZATIONS
1273 //
1274 //=================================================================================================
1275 
1276 //*************************************************************************************************
1278 template< typename MT1, typename MT2, bool SO >
1279 struct IsStrictlyUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1280  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1281 {};
1283 //*************************************************************************************************
1284 
1285 } // namespace blaze
1286 
1287 #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:271
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:198
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:116
ConstIterator_< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:210
Header file for the Rows type trait.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:259
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:786
Header file for basic type definitions.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:112
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:357
Compile time check whether the given type is an operational expression template.This type trait class...
Definition: IsOperation.h:71
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:390
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:180
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:199
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:281
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:88
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:544
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:115
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:313
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
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:205
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:206
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:114
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
Iterator over the elements of the dense matrix.
Definition: DMatDMatSubExpr.h:192
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:204
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:346
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:508
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:172
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
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:173
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:628
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:105
If_< IsExpression< MT1 >, const MT1, const MT1 &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:183
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:213
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:57
#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:368
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatSubExpr.h:523
#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:177
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:434
ElementType_< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:118
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:222
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:117
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:619
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:459
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:586
Header file for run time assertion macros.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:335
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:379
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:113
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:414
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:171
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:303
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:490
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:247
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:819
#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:186
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:574
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:554
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:426
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:599
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:3082
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:203
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:609
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:564
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:174
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:250
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatSubExpr.h:433
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:111
#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:108
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:131
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:627
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:402
Header file for the IsHermitian type trait.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:293
Header file for the SubExprTrait class template.
System settings for the inline keywords.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:324
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:196
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:197
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:475
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:534
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:234