DMatDMatSubExpr.h
Go to the documentation of this file.
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>
48 #include <blaze/math/Exception.h>
54 #include <blaze/math/SIMD.h>
76 #include <blaze/system/Inline.h>
78 #include <blaze/util/Assert.h>
80 #include <blaze/util/EnableIf.h>
83 #include <blaze/util/mpl/And.h>
84 #include <blaze/util/mpl/If.h>
85 #include <blaze/util/mpl/Max.h>
86 #include <blaze/util/Types.h>
87 
88 
89 namespace blaze {
90 
91 //=================================================================================================
92 //
93 // CLASS DMATDMATSUBEXPR
94 //
95 //=================================================================================================
96 
97 //*************************************************************************************************
104 template< typename MT1 // Type of the left-hand side dense matrix
105  , typename MT2 // Type of the right-hand side dense matrix
106  , bool SO > // Storage order
107 class DMatDMatSubExpr : public DenseMatrix< DMatDMatSubExpr<MT1,MT2,SO>, SO >
108  , private MatMatSubExpr
109  , private Computation
110 {
111  private:
112  //**Type definitions****************************************************************************
121  //**********************************************************************************************
122 
123  //**Return type evaluation**********************************************************************
125 
130  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
131 
134  //**********************************************************************************************
135 
136  //**Serial evaluation strategy******************************************************************
138 
144  enum : bool { useAssign = RequiresEvaluation<MT1>::value || RequiresEvaluation<MT2>::value || !returnExpr };
145 
147  template< typename MT >
149  struct UseAssign {
150  enum : bool { value = useAssign };
151  };
153  //**********************************************************************************************
154 
155  //**Parallel evaluation strategy****************************************************************
157 
163  template< typename MT >
164  struct UseSMPAssign {
165  enum : bool { value = ( !MT1::smpAssignable || !MT2::smpAssignable ) && useAssign };
166  };
168  //**********************************************************************************************
169 
170  public:
171  //**Type definitions****************************************************************************
177 
180 
183 
185  typedef If_< IsExpression<MT1>, const MT1, const MT1& > LeftOperand;
186 
188  typedef If_< IsExpression<MT2>, const MT2, const MT2& > RightOperand;
189  //**********************************************************************************************
190 
191  //**ConstIterator class definition**************************************************************
195  {
196  public:
197  //**Type definitions*************************************************************************
198  typedef std::random_access_iterator_tag IteratorCategory;
199  typedef ElementType ValueType;
200  typedef ElementType* PointerType;
201  typedef ElementType& ReferenceType;
203 
204  // STL iterator requirements
205  typedef IteratorCategory iterator_category;
206  typedef ValueType value_type;
207  typedef PointerType pointer;
208  typedef ReferenceType reference;
209  typedef DifferenceType difference_type;
210 
213 
216  //*******************************************************************************************
217 
218  //**Constructor******************************************************************************
224  explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
225  : left_ ( left ) // Iterator to the current left-hand side element
226  , right_( right ) // Iterator to the current right-hand side element
227  {}
228  //*******************************************************************************************
229 
230  //**Addition assignment operator*************************************************************
236  inline ConstIterator& operator+=( size_t inc ) {
237  left_ += inc;
238  right_ += inc;
239  return *this;
240  }
241  //*******************************************************************************************
242 
243  //**Subtraction assignment operator**********************************************************
249  inline ConstIterator& operator-=( size_t dec ) {
250  left_ -= dec;
251  right_ -= dec;
252  return *this;
253  }
254  //*******************************************************************************************
255 
256  //**Prefix increment operator****************************************************************
262  ++left_;
263  ++right_;
264  return *this;
265  }
266  //*******************************************************************************************
267 
268  //**Postfix increment operator***************************************************************
273  inline const ConstIterator operator++( int ) {
274  return ConstIterator( left_++, right_++ );
275  }
276  //*******************************************************************************************
277 
278  //**Prefix decrement operator****************************************************************
284  --left_;
285  --right_;
286  return *this;
287  }
288  //*******************************************************************************************
289 
290  //**Postfix decrement operator***************************************************************
295  inline const ConstIterator operator--( int ) {
296  return ConstIterator( left_--, right_-- );
297  }
298  //*******************************************************************************************
299 
300  //**Element access operator******************************************************************
305  inline ReturnType operator*() const {
306  return (*left_) - (*right_);
307  }
308  //*******************************************************************************************
309 
310  //**Load function****************************************************************************
315  inline auto load() const noexcept {
316  return left_.load() - right_.load();
317  }
318  //*******************************************************************************************
319 
320  //**Equality operator************************************************************************
326  inline bool operator==( const ConstIterator& rhs ) const {
327  return left_ == rhs.left_;
328  }
329  //*******************************************************************************************
330 
331  //**Inequality operator**********************************************************************
337  inline bool operator!=( const ConstIterator& rhs ) const {
338  return left_ != rhs.left_;
339  }
340  //*******************************************************************************************
341 
342  //**Less-than operator***********************************************************************
348  inline bool operator<( const ConstIterator& rhs ) const {
349  return left_ < rhs.left_;
350  }
351  //*******************************************************************************************
352 
353  //**Greater-than operator********************************************************************
359  inline bool operator>( const ConstIterator& rhs ) const {
360  return left_ > rhs.left_;
361  }
362  //*******************************************************************************************
363 
364  //**Less-or-equal-than operator**************************************************************
370  inline bool operator<=( const ConstIterator& rhs ) const {
371  return left_ <= rhs.left_;
372  }
373  //*******************************************************************************************
374 
375  //**Greater-or-equal-than operator***********************************************************
381  inline bool operator>=( const ConstIterator& rhs ) const {
382  return left_ >= rhs.left_;
383  }
384  //*******************************************************************************************
385 
386  //**Subtraction operator*********************************************************************
392  inline DifferenceType operator-( const ConstIterator& rhs ) const {
393  return left_ - rhs.left_;
394  }
395  //*******************************************************************************************
396 
397  //**Addition operator************************************************************************
404  friend inline const ConstIterator operator+( const ConstIterator& it, size_t inc ) {
405  return ConstIterator( it.left_ + inc, it.right_ + inc );
406  }
407  //*******************************************************************************************
408 
409  //**Addition operator************************************************************************
416  friend inline const ConstIterator operator+( size_t inc, const ConstIterator& it ) {
417  return ConstIterator( it.left_ + inc, it.right_ + inc );
418  }
419  //*******************************************************************************************
420 
421  //**Subtraction operator*********************************************************************
428  friend inline const ConstIterator operator-( const ConstIterator& it, size_t dec ) {
429  return ConstIterator( it.left_ - dec, it.right_ - dec );
430  }
431  //*******************************************************************************************
432 
433  private:
434  //**Member variables*************************************************************************
435  LeftIteratorType left_;
436  RightIteratorType right_;
437  //*******************************************************************************************
438  };
439  //**********************************************************************************************
440 
441  //**Compilation flags***************************************************************************
443  enum : bool { simdEnabled = MT1::simdEnabled && MT2::simdEnabled &&
445 
447  enum : bool { smpAssignable = MT1::smpAssignable && MT2::smpAssignable };
448  //**********************************************************************************************
449 
450  //**SIMD properties*****************************************************************************
452  enum : size_t { SIMDSIZE = SIMDTrait<ElementType>::size };
453  //**********************************************************************************************
454 
455  //**Constructor*********************************************************************************
461  explicit inline DMatDMatSubExpr( const MT1& lhs, const MT2& rhs ) noexcept
462  : lhs_( lhs ) // Left-hand side dense matrix of the subtraction expression
463  , rhs_( rhs ) // Right-hand side dense matrix of the subtraction expression
464  {
465  BLAZE_INTERNAL_ASSERT( lhs.rows() == rhs.rows() , "Invalid number of rows" );
466  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.columns(), "Invalid number of columns" );
467  }
468  //**********************************************************************************************
469 
470  //**Access operator*****************************************************************************
477  inline ReturnType operator()( size_t i, size_t j ) const {
478  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
479  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
480  return lhs_(i,j) - rhs_(i,j);
481  }
482  //**********************************************************************************************
483 
484  //**At function*********************************************************************************
492  inline ReturnType at( size_t i, size_t j ) const {
493  if( i >= lhs_.rows() ) {
494  BLAZE_THROW_OUT_OF_RANGE( "Invalid row access index" );
495  }
496  if( j >= lhs_.columns() ) {
497  BLAZE_THROW_OUT_OF_RANGE( "Invalid column access index" );
498  }
499  return (*this)(i,j);
500  }
501  //**********************************************************************************************
502 
503  //**Load function*******************************************************************************
510  BLAZE_ALWAYS_INLINE auto load( size_t i, size_t j ) const noexcept {
511  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
512  BLAZE_INTERNAL_ASSERT( j < lhs_.columns(), "Invalid column access index" );
513  BLAZE_INTERNAL_ASSERT( !SO || ( i % SIMDSIZE == 0UL ), "Invalid row access index" );
514  BLAZE_INTERNAL_ASSERT( SO || ( j % SIMDSIZE == 0UL ), "Invalid column access index" );
515  return lhs_.load(i,j) - rhs_.load(i,j);
516  }
517  //**********************************************************************************************
518 
519  //**Begin function******************************************************************************
525  inline ConstIterator begin( size_t i ) const {
526  return ConstIterator( lhs_.begin(i), rhs_.begin(i) );
527  }
528  //**********************************************************************************************
529 
530  //**End function********************************************************************************
536  inline ConstIterator end( size_t i ) const {
537  return ConstIterator( lhs_.end(i), rhs_.end(i) );
538  }
539  //**********************************************************************************************
540 
541  //**Rows function*******************************************************************************
546  inline size_t rows() const noexcept {
547  return lhs_.rows();
548  }
549  //**********************************************************************************************
550 
551  //**Columns function****************************************************************************
556  inline size_t columns() const noexcept {
557  return lhs_.columns();
558  }
559  //**********************************************************************************************
560 
561  //**Left operand access*************************************************************************
566  inline LeftOperand leftOperand() const noexcept {
567  return lhs_;
568  }
569  //**********************************************************************************************
570 
571  //**Right operand access************************************************************************
576  inline RightOperand rightOperand() const noexcept {
577  return rhs_;
578  }
579  //**********************************************************************************************
580 
581  //**********************************************************************************************
587  template< typename T >
588  inline bool canAlias( const T* alias ) const noexcept {
589  return ( IsExpression<MT1>::value && ( RequiresEvaluation<MT1>::value ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
590  ( IsExpression<MT2>::value && ( RequiresEvaluation<MT2>::value ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
591  }
592  //**********************************************************************************************
593 
594  //**********************************************************************************************
600  template< typename T >
601  inline bool isAliased( const T* alias ) const noexcept {
602  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
603  }
604  //**********************************************************************************************
605 
606  //**********************************************************************************************
611  inline bool isAligned() const noexcept {
612  return lhs_.isAligned() && rhs_.isAligned();
613  }
614  //**********************************************************************************************
615 
616  //**********************************************************************************************
621  inline bool canSMPAssign() const noexcept {
622  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
623  ( rows() * columns() >= SMP_DMATDMATSUB_THRESHOLD );
624  }
625  //**********************************************************************************************
626 
627  private:
628  //**Member variables****************************************************************************
629  LeftOperand lhs_;
630  RightOperand rhs_;
631  //**********************************************************************************************
632 
633  //**Assignment to dense matrices****************************************************************
647  template< typename MT // Type of the target dense matrix
648  , bool SO2 > // Storage order of the target dense matrix
649  friend inline EnableIf_< UseAssign<MT> >
650  assign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
651  {
653 
654  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
655  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
656 
657  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
658  subAssign( ~lhs, rhs.rhs_ );
659  }
660  else {
661  assign ( ~lhs, rhs.lhs_ );
662  subAssign( ~lhs, rhs.rhs_ );
663  }
664  }
666  //**********************************************************************************************
667 
668  //**Assignment to sparse matrices***************************************************************
682  template< typename MT // Type of the target sparse matrix
683  , bool SO2 > // Storage order of the target sparse matrix
684  friend inline EnableIf_< UseAssign<MT> >
685  assign( SparseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
686  {
688 
690 
697 
698  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
699  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
700 
701  const TmpType tmp( serial( rhs ) );
702  assign( ~lhs, tmp );
703  }
705  //**********************************************************************************************
706 
707  //**Addition assignment to dense matrices*******************************************************
721  template< typename MT // Type of the target dense matrix
722  , bool SO2 > // Storage order of the target dense matrix
723  friend inline EnableIf_< UseAssign<MT> >
724  addAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
725  {
727 
728  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
729  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
730 
731  addAssign( ~lhs, rhs.lhs_ );
732  subAssign( ~lhs, rhs.rhs_ );
733  }
735  //**********************************************************************************************
736 
737  //**Addition assignment to sparse matrices******************************************************
738  // No special implementation for the addition assignment to sparse matrices.
739  //**********************************************************************************************
740 
741  //**Subtraction assignment to dense matrices****************************************************
755  template< typename MT // Type of the target dense matrix
756  , bool SO2 > // Storage order of the target dense matrix
757  friend inline EnableIf_< UseAssign<MT> >
758  subAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
759  {
761 
762  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
763  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
764 
765  subAssign( ~lhs, rhs.lhs_ );
766  addAssign( ~lhs, rhs.rhs_ );
767  }
769  //**********************************************************************************************
770 
771  //**Subtraction assignment to sparse matrices***************************************************
772  // No special implementation for the subtraction assignment to sparse matrices.
773  //**********************************************************************************************
774 
775  //**Multiplication assignment to dense matrices*************************************************
776  // No special implementation for the multiplication assignment to dense matrices.
777  //**********************************************************************************************
778 
779  //**Multiplication assignment to sparse matrices************************************************
780  // No special implementation for the multiplication assignment to sparse matrices.
781  //**********************************************************************************************
782 
783  //**SMP assignment to dense matrices************************************************************
797  template< typename MT // Type of the target dense matrix
798  , bool SO2 > // Storage order of the target dense matrix
799  friend inline EnableIf_< UseSMPAssign<MT> >
800  smpAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
801  {
803 
804  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
805  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
806 
807  if( !IsExpression<MT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
808  smpSubAssign( ~lhs, rhs.rhs_ );
809  }
810  else {
811  smpAssign ( ~lhs, rhs.lhs_ );
812  smpSubAssign( ~lhs, rhs.rhs_ );
813  }
814  }
816  //**********************************************************************************************
817 
818  //**SMP assignment to sparse matrices***********************************************************
832  template< typename MT // Type of the target sparse matrix
833  , bool SO2 > // Storage order of the target sparse matrix
834  friend inline EnableIf_< UseSMPAssign<MT> >
835  smpAssign( SparseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
836  {
838 
839  typedef IfTrue_< SO == SO2, ResultType, OppositeType > TmpType;
840 
846  BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE( CompositeType_<TmpType> );
847 
848  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
849  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
850 
851  const TmpType tmp( rhs );
852  smpAssign( ~lhs, tmp );
853  }
855  //**********************************************************************************************
856 
857  //**SMP addition assignment to dense matrices***************************************************
871  template< typename MT // Type of the target dense matrix
872  , bool SO2 > // Storage order of the target dense matrix
873  friend inline EnableIf_< UseAssign<MT> >
874  smpAddAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
875  {
877 
878  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
879  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
880 
881  smpAddAssign( ~lhs, rhs.lhs_ );
882  smpSubAssign( ~lhs, rhs.rhs_ );
883  }
885  //**********************************************************************************************
886 
887  //**SMP addition assignment to sparse matrices**************************************************
888  // No special implementation for the SMP addition assignment to sparse matrices.
889  //**********************************************************************************************
890 
891  //**SMP subtraction 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_< UseSMPAssign<MT> >
908  smpSubAssign( DenseMatrix<MT,SO2>& lhs, const DMatDMatSubExpr& rhs )
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  smpSubAssign( ~lhs, rhs.lhs_ );
916  smpAddAssign( ~lhs, rhs.rhs_ );
917  }
919  //**********************************************************************************************
920 
921  //**SMP subtraction assignment to sparse matrices***********************************************
922  // No special implementation for the SMP subtraction assignment to sparse matrices.
923  //**********************************************************************************************
924 
925  //**SMP multiplication assignment to dense matrices*********************************************
926  // No special implementation for the SMP multiplication assignment to dense matrices.
927  //**********************************************************************************************
928 
929  //**SMP multiplication assignment to sparse matrices********************************************
930  // No special implementation for the SMP multiplication assignment to sparse matrices.
931  //**********************************************************************************************
932 
933  //**Compile time checks*************************************************************************
939  //**********************************************************************************************
940 };
941 //*************************************************************************************************
942 
943 
944 
945 
946 //=================================================================================================
947 //
948 // GLOBAL BINARY ARITHMETIC OPERATORS
949 //
950 //=================================================================================================
951 
952 //*************************************************************************************************
977 template< typename T1 // Type of the left-hand side dense matrix
978  , typename T2 // Type of the right-hand side dense matrix
979  , bool SO > // Storage order
980 inline const DMatDMatSubExpr<T1,T2,SO>
982 {
984 
985  if( (~lhs).rows() != (~rhs).rows() || (~lhs).columns() != (~rhs).columns() ) {
986  BLAZE_THROW_INVALID_ARGUMENT( "Matrix sizes do not match" );
987  }
988 
989  return DMatDMatSubExpr<T1,T2,SO>( ~lhs, ~rhs );
990 }
991 //*************************************************************************************************
992 
993 
994 
995 
996 //=================================================================================================
997 //
998 // ROWS SPECIALIZATIONS
999 //
1000 //=================================================================================================
1001 
1002 //*************************************************************************************************
1004 template< typename MT1, typename MT2, bool SO >
1005 struct Rows< DMatDMatSubExpr<MT1,MT2,SO> >
1006  : public Max< Rows<MT1>, Rows<MT2> >
1007 {};
1009 //*************************************************************************************************
1010 
1011 
1012 
1013 
1014 //=================================================================================================
1015 //
1016 // COLUMNS SPECIALIZATIONS
1017 //
1018 //=================================================================================================
1019 
1020 //*************************************************************************************************
1022 template< typename MT1, typename MT2, bool SO >
1023 struct Columns< DMatDMatSubExpr<MT1,MT2,SO> >
1024  : public Max< Columns<MT1>, Columns<MT2> >
1025 {};
1027 //*************************************************************************************************
1028 
1029 
1030 
1031 
1032 //=================================================================================================
1033 //
1034 // ISALIGNED SPECIALIZATIONS
1035 //
1036 //=================================================================================================
1037 
1038 //*************************************************************************************************
1040 template< typename MT1, typename MT2, bool SO >
1041 struct IsAligned< DMatDMatSubExpr<MT1,MT2,SO> >
1042  : public BoolConstant< And< IsAligned<MT1>, IsAligned<MT2> >::value >
1043 {};
1045 //*************************************************************************************************
1046 
1047 
1048 
1049 
1050 //=================================================================================================
1051 //
1052 // ISPADDED SPECIALIZATIONS
1053 //
1054 //=================================================================================================
1055 
1056 //*************************************************************************************************
1058 template< typename MT1, typename MT2, bool SO >
1059 struct IsPadded< DMatDMatSubExpr<MT1,MT2,SO> >
1060  : public BoolConstant< And< IsPadded<MT1>, IsPadded<MT2> >::value >
1061 {};
1063 //*************************************************************************************************
1064 
1065 
1066 
1067 
1068 //=================================================================================================
1069 //
1070 // ISSYMMETRIC SPECIALIZATIONS
1071 //
1072 //=================================================================================================
1073 
1074 //*************************************************************************************************
1076 template< typename MT1, typename MT2, bool SO >
1077 struct IsSymmetric< DMatDMatSubExpr<MT1,MT2,SO> >
1078  : public BoolConstant< IsSymmetric<MT1>::value && IsSymmetric<MT2>::value >
1079 {};
1081 //*************************************************************************************************
1082 
1083 
1084 
1085 
1086 //=================================================================================================
1087 //
1088 // ISHERMITIAN SPECIALIZATIONS
1089 //
1090 //=================================================================================================
1091 
1092 //*************************************************************************************************
1094 template< typename MT1, typename MT2, bool SO >
1095 struct IsHermitian< DMatDMatSubExpr<MT1,MT2,SO> >
1096  : public BoolConstant< IsHermitian<MT1>::value && IsHermitian<MT2>::value >
1097 {};
1099 //*************************************************************************************************
1100 
1101 
1102 
1103 
1104 //=================================================================================================
1105 //
1106 // ISLOWER SPECIALIZATIONS
1107 //
1108 //=================================================================================================
1109 
1110 //*************************************************************************************************
1112 template< typename MT1, typename MT2, bool SO >
1113 struct IsLower< DMatDMatSubExpr<MT1,MT2,SO> >
1114  : public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1115 {};
1117 //*************************************************************************************************
1118 
1119 
1120 
1121 
1122 //=================================================================================================
1123 //
1124 // ISUNILOWER SPECIALIZATIONS
1125 //
1126 //=================================================================================================
1127 
1128 //*************************************************************************************************
1130 template< typename MT1, typename MT2, bool SO >
1131 struct IsUniLower< DMatDMatSubExpr<MT1,MT2,SO> >
1132  : public BoolConstant< And< IsUniLower<MT1>, IsStrictlyLower<MT2> >::value >
1133 {};
1135 //*************************************************************************************************
1136 
1137 
1138 
1139 
1140 //=================================================================================================
1141 //
1142 // ISSTRICTLYLOWER SPECIALIZATIONS
1143 //
1144 //=================================================================================================
1145 
1146 //*************************************************************************************************
1148 template< typename MT1, typename MT2, bool SO >
1149 struct IsStrictlyLower< DMatDMatSubExpr<MT1,MT2,SO> >
1150  : public BoolConstant< And< IsStrictlyLower<MT1>, IsStrictlyLower<MT2> >::value >
1151 {};
1153 //*************************************************************************************************
1154 
1155 
1156 
1157 
1158 //=================================================================================================
1159 //
1160 // ISUPPER SPECIALIZATIONS
1161 //
1162 //=================================================================================================
1163 
1164 //*************************************************************************************************
1166 template< typename MT1, typename MT2, bool SO >
1167 struct IsUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1168  : public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1169 {};
1171 //*************************************************************************************************
1172 
1173 
1174 
1175 
1176 //=================================================================================================
1177 //
1178 // ISUNIUPPER SPECIALIZATIONS
1179 //
1180 //=================================================================================================
1181 
1182 //*************************************************************************************************
1184 template< typename MT1, typename MT2, bool SO >
1185 struct IsUniUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1186  : public BoolConstant< And< IsUniUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1187 {};
1189 //*************************************************************************************************
1190 
1191 
1192 
1193 
1194 //=================================================================================================
1195 //
1196 // ISSTRICTLYUPPER SPECIALIZATIONS
1197 //
1198 //=================================================================================================
1199 
1200 //*************************************************************************************************
1202 template< typename MT1, typename MT2, bool SO >
1203 struct IsStrictlyUpper< DMatDMatSubExpr<MT1,MT2,SO> >
1204  : public BoolConstant< And< IsStrictlyUpper<MT1>, IsStrictlyUpper<MT2> >::value >
1205 {};
1207 //*************************************************************************************************
1208 
1209 
1210 
1211 
1212 //=================================================================================================
1213 //
1214 // EXPRESSION TRAIT SPECIALIZATIONS
1215 //
1216 //=================================================================================================
1217 
1218 //*************************************************************************************************
1220 template< typename MT1, typename MT2, bool SO, bool AF >
1221 struct SubmatrixExprTrait< DMatDMatSubExpr<MT1,MT2,SO>, AF >
1222 {
1223  public:
1224  //**********************************************************************************************
1225  using Type = SubExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1226  , SubmatrixExprTrait_<const MT2,AF> >;
1227  //**********************************************************************************************
1228 };
1230 //*************************************************************************************************
1231 
1232 
1233 //*************************************************************************************************
1235 template< typename MT1, typename MT2, bool SO >
1236 struct RowExprTrait< DMatDMatSubExpr<MT1,MT2,SO> >
1237 {
1238  public:
1239  //**********************************************************************************************
1240  using Type = SubExprTrait_< RowExprTrait_<const MT1>
1241  , RowExprTrait_<const MT2> >;
1242  //**********************************************************************************************
1243 };
1245 //*************************************************************************************************
1246 
1247 
1248 //*************************************************************************************************
1250 template< typename MT1, typename MT2, bool SO >
1251 struct ColumnExprTrait< DMatDMatSubExpr<MT1,MT2,SO> >
1252 {
1253  public:
1254  //**********************************************************************************************
1255  using Type = SubExprTrait_< ColumnExprTrait_<const MT1>
1256  , ColumnExprTrait_<const MT2> >;
1257  //**********************************************************************************************
1258 };
1260 //*************************************************************************************************
1261 
1262 } // namespace blaze
1263 
1264 #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.
Header file for the Max class template.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DMatDMatSubExpr.h:273
Availability of a SIMD subtraction for the given data types.Depending on the available instruction se...
Definition: HasSIMDSub.h:163
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DMatDMatSubExpr.h:305
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
Header file for the Rows type trait.
ConstIterator & operator++()
Pre-increment operator.
Definition: DMatDMatSubExpr.h:261
Header file for the IsUniUpper type trait.
Header file for the subtraction trait.
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:653
Header file for basic type definitions.
IfTrue_< useAssign, const ResultType, const DMatDMatSubExpr & > CompositeType
Data type for composite expression templates.
Definition: DMatDMatSubExpr.h:182
BLAZE_ALWAYS_INLINE auto load(size_t i, size_t j) const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:510
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:359
ElementType * PointerType
Pointer return type.
Definition: DMatDMatSubExpr.h:200
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:188
EnableIf_< IsDenseMatrix< MT1 > > smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
Header file for the 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
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector) noexcept
Returns the current size/dimension of the vector.
Definition: Vector.h:258
#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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: DMatDMatSubExpr.h:477
Header file for the ColumnExprTrait class template.
ResultType_< MT2 > RT2
Result type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:114
RightOperand rightOperand() const noexcept
Returns the right-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:576
ConstIterator & operator--()
Pre-decrement operator.
Definition: DMatDMatSubExpr.h:283
Header file for the And class template.
PointerType pointer
Pointer return type.
Definition: DMatDMatSubExpr.h:207
auto load() const noexcept
Access to the SIMD elements of the matrix.
Definition: DMatDMatSubExpr.h:315
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
Header file for the Computation base class.
const DenseIterator< Type, AF > operator-(const DenseIterator< Type, AF > &it, ptrdiff_t inc) noexcept
Subtraction between a DenseIterator and an integral value.
Definition: DenseIterator.h:731
Header file for the 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:323
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatDMatSubExpr.h:611
SubExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DMatDMatSubExpr.h:133
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Iterator over the elements of the dense matrix.
Definition: DMatDMatSubExpr.h:194
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
typename T::ReturnType ReturnType_
Alias declaration for nested ReturnType type definitions.The ReturnType_ alias declaration provides a...
Definition: Aliases.h:343
SubTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DMatDMatSubExpr.h:173
typename SubExprTrait< T1, T2 >::Type SubExprTrait_
Auxiliary alias declaration for the SubExprTrait class template.The SubExprTrait_ alias declaration p...
Definition: SubExprTrait.h:220
Constraint on the data type.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
DifferenceType difference_type
Difference between two iterators.
Definition: DMatDMatSubExpr.h:209
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DMatDMatSubExpr.h:179
RightOperand rhs_
Right-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:630
Expression object for dense matrix-dense matrix subtractions.The DMatDMatSubExpr class represents the...
Definition: DMatDMatSubExpr.h:107
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:65
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
ConstIterator begin(size_t i) const
Returns an iterator to the first non-zero element of row i.
Definition: DMatDMatSubExpr.h:525
Header file for the If class template.
ElementType ValueType
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:199
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2647
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: DMatDMatSubExpr.h:546
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the DenseMatrix base class.
Header file for the Columns type trait.
DMatDMatSubExpr< MT1, MT2, SO > This
Type of this DMatDMatSubExpr instance.
Definition: DMatDMatSubExpr.h:172
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DMatDMatSubExpr.h:198
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DMatDMatSubExpr.h:436
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.
ReferenceType reference
Reference return type.
Definition: DMatDMatSubExpr.h:208
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatDMatSubExpr.h:176
Header file for the IsLower type trait.
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:185
Header file for the IsAligned type trait.
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DMatDMatSubExpr.h:224
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
Constraints on the storage order of matrix types.
ConstIterator end(size_t i) const
Returns an iterator just past the last non-zero element of row i.
Definition: DMatDMatSubExpr.h:536
Header file for the exception macros of the math module.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the IsPadded type trait.
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:370
ValueType value_type
Type of the underlying elements.
Definition: DMatDMatSubExpr.h:206
CompositeType_< MT1 > CT1
Composite type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:117
DMatDMatSubExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the DMatDMatSubExpr class.
Definition: DMatDMatSubExpr.h:461
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:337
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DMatDMatSubExpr.h:392
Header file for the SubmatrixExprTrait class template.
ConstIterator_< MT2 > RightIteratorType
ConstIterator type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:215
Header file for run time assertion macros.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:326
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatDMatSubExpr.h:621
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
ElementType_< MT1 > ET1
Element type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:119
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DMatDMatSubExpr.h:416
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: DMatDMatSubExpr.h:556
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DMatDMatSubExpr.h:249
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: DMatDMatSubExpr.h:174
Header file for the HasSIMDSub type trait.
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
ConstIterator_< MT1 > LeftIteratorType
ConstIterator type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:212
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:428
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
#define BLAZE_CONSTRAINT_MATRICES_MUST_HAVE_SAME_STORAGE_ORDER(T1, T2)
Constraint on the data type.In case either of the two given data types T1 or T2 is not a matrix type ...
Definition: StorageOrder.h:84
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:381
ptrdiff_t DifferenceType
Difference between two iterators.
Definition: DMatDMatSubExpr.h:202
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatDMatSubExpr.h:175
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
ElementType_< MT2 > ET2
Element type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:120
ElementType & ReferenceType
Reference return type.
Definition: DMatDMatSubExpr.h:201
IteratorCategory iterator_category
The iterator category.
Definition: DMatDMatSubExpr.h:205
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
typename SubTrait< T1, T2 >::Type SubTrait_
Auxiliary alias declaration for the SubTrait class template.The SubTrait_ alias declaration provides ...
Definition: SubTrait.h:245
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DMatDMatSubExpr.h:435
Header file for the IntegralConstant class template.
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DMatDMatSubExpr.h:348
#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:109
ResultType_< MT1 > RT1
Result type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:113
LeftOperand lhs_
Left-hand side dense matrix of the subtraction expression.
Definition: DMatDMatSubExpr.h:629
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DMatDMatSubExpr.h:404
Header file for the IsHermitian type trait.
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DMatDMatSubExpr.h:295
Header file for the SubExprTrait class template.
System settings for the inline keywords.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
ReturnType_< MT1 > RN1
Return type of the left-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:115
CompositeType_< MT2 > CT2
Composite type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:118
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatDMatSubExpr.h:566
Compile time check whether the given type is an expression template.This type trait class tests wheth...
Definition: IsExpression.h:71
Header file for the IsExpression type trait class.
ReturnType_< MT2 > RN2
Return type of the right-hand side dense matrix expression.
Definition: DMatDMatSubExpr.h:116
Header file for the FunctionTrace class.
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: DMatDMatSubExpr.h:492
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatDMatSubExpr.h:601
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatDMatSubExpr.h:588
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DMatDMatSubExpr.h:236