DVecDVecMultExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DVECDVECMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DVECDVECMULTEXPR_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>
66 #include <blaze/system/Inline.h>
68 #include <blaze/util/Assert.h>
69 #include <blaze/util/EnableIf.h>
72 #include <blaze/util/mpl/And.h>
73 #include <blaze/util/mpl/If.h>
74 #include <blaze/util/mpl/Maximum.h>
75 #include <blaze/util/Types.h>
76 
77 
78 namespace blaze {
79 
80 //=================================================================================================
81 //
82 // CLASS DVECDVECMULTEXPR
83 //
84 //=================================================================================================
85 
86 //*************************************************************************************************
93 template< typename VT1 // Type of the left-hand side dense vector
94  , typename VT2 // Type of the right-hand side dense vector
95  , bool TF > // Transpose flag
97  : public VecVecMultExpr< DenseVector< DVecDVecMultExpr<VT1,VT2,TF>, TF > >
98  , private Computation
99 {
100  private:
101  //**Type definitions****************************************************************************
110  //**********************************************************************************************
111 
112  //**Return type evaluation**********************************************************************
114 
119  enum : bool { returnExpr = !IsTemporary<RN1>::value && !IsTemporary<RN2>::value };
120 
123  //**********************************************************************************************
124 
125  //**Serial evaluation strategy******************************************************************
127 
133  enum : bool { useAssign = ( RequiresEvaluation<VT1>::value || RequiresEvaluation<VT2>::value || !returnExpr ) };
134 
136  template< typename VT >
138  struct UseAssign {
139  enum : bool { value = useAssign };
140  };
142  //**********************************************************************************************
143 
144  //**Parallel evaluation strategy****************************************************************
146 
152  template< typename VT >
153  struct UseSMPAssign {
154  enum : bool { value = ( !VT1::smpAssignable || !VT2::smpAssignable ) && useAssign };
155  };
157  //**********************************************************************************************
158 
159  public:
160  //**Type definitions****************************************************************************
165 
168 
171 
173  using LeftOperand = If_< IsExpression<VT1>, const VT1, const VT1& >;
174 
176  using RightOperand = If_< IsExpression<VT2>, const VT2, const VT2& >;
177  //**********************************************************************************************
178 
179  //**ConstIterator class definition**************************************************************
183  {
184  public:
185  //**Type definitions*************************************************************************
186  using IteratorCategory = std::random_access_iterator_tag;
191 
192  // STL iterator requirements
198 
201 
204  //*******************************************************************************************
205 
206  //**Constructor******************************************************************************
212  explicit inline ConstIterator( LeftIteratorType left, RightIteratorType right )
213  : left_ ( left ) // Iterator to the current left-hand side element
214  , right_( right ) // Iterator to the current right-hand side element
215  {}
216  //*******************************************************************************************
217 
218  //**Addition assignment operator*************************************************************
224  inline ConstIterator& operator+=( size_t inc ) {
225  left_ += inc;
226  right_ += inc;
227  return *this;
228  }
229  //*******************************************************************************************
230 
231  //**Subtraction assignment operator**********************************************************
237  inline ConstIterator& operator-=( size_t dec ) {
238  left_ -= dec;
239  right_ -= dec;
240  return *this;
241  }
242  //*******************************************************************************************
243 
244  //**Prefix increment operator****************************************************************
250  ++left_;
251  ++right_;
252  return *this;
253  }
254  //*******************************************************************************************
255 
256  //**Postfix increment operator***************************************************************
261  inline const ConstIterator operator++( int ) {
262  return ConstIterator( left_++, right_++ );
263  }
264  //*******************************************************************************************
265 
266  //**Prefix decrement operator****************************************************************
272  --left_;
273  --right_;
274  return *this;
275  }
276  //*******************************************************************************************
277 
278  //**Postfix decrement operator***************************************************************
283  inline const ConstIterator operator--( int ) {
284  return ConstIterator( left_--, right_-- );
285  }
286  //*******************************************************************************************
287 
288  //**Element access operator******************************************************************
293  inline ReturnType operator*() const {
294  return (*left_) * (*right_);
295  }
296  //*******************************************************************************************
297 
298  //**Load function****************************************************************************
303  inline auto load() const noexcept {
304  return left_.load() * right_.load();
305  }
306  //*******************************************************************************************
307 
308  //**Equality operator************************************************************************
314  inline bool operator==( const ConstIterator& rhs ) const {
315  return left_ == rhs.left_;
316  }
317  //*******************************************************************************************
318 
319  //**Inequality operator**********************************************************************
325  inline bool operator!=( const ConstIterator& rhs ) const {
326  return left_ != rhs.left_;
327  }
328  //*******************************************************************************************
329 
330  //**Less-than operator***********************************************************************
336  inline bool operator<( const ConstIterator& rhs ) const {
337  return left_ < rhs.left_;
338  }
339  //*******************************************************************************************
340 
341  //**Greater-than operator********************************************************************
347  inline bool operator>( const ConstIterator& rhs ) const {
348  return left_ > rhs.left_;
349  }
350  //*******************************************************************************************
351 
352  //**Less-or-equal-than operator**************************************************************
358  inline bool operator<=( const ConstIterator& rhs ) const {
359  return left_ <= rhs.left_;
360  }
361  //*******************************************************************************************
362 
363  //**Greater-or-equal-than operator***********************************************************
369  inline bool operator>=( const ConstIterator& rhs ) const {
370  return left_ >= rhs.left_;
371  }
372  //*******************************************************************************************
373 
374  //**Subtraction operator*********************************************************************
380  inline DifferenceType operator-( const ConstIterator& rhs ) const {
381  return left_ - rhs.left_;
382  }
383  //*******************************************************************************************
384 
385  //**Addition operator************************************************************************
392  friend inline const ConstIterator operator+( const ConstIterator& it, size_t inc ) {
393  return ConstIterator( it.left_ + inc, it.right_ + inc );
394  }
395  //*******************************************************************************************
396 
397  //**Addition operator************************************************************************
404  friend inline const ConstIterator operator+( size_t inc, const ConstIterator& it ) {
405  return ConstIterator( it.left_ + inc, it.right_ + inc );
406  }
407  //*******************************************************************************************
408 
409  //**Subtraction operator*********************************************************************
416  friend inline const ConstIterator operator-( const ConstIterator& it, size_t dec ) {
417  return ConstIterator( it.left_ - dec, it.right_ - dec );
418  }
419  //*******************************************************************************************
420 
421  private:
422  //**Member variables*************************************************************************
425  //*******************************************************************************************
426  };
427  //**********************************************************************************************
428 
429  //**Compilation flags***************************************************************************
431  enum : bool { simdEnabled = VT1::simdEnabled && VT2::simdEnabled &&
433 
435  enum : bool { smpAssignable = VT1::smpAssignable && VT2::smpAssignable };
436  //**********************************************************************************************
437 
438  //**SIMD properties*****************************************************************************
440  enum : size_t { SIMDSIZE = SIMDTrait<ElementType>::size };
441  //**********************************************************************************************
442 
443  //**Constructor*********************************************************************************
449  explicit inline DVecDVecMultExpr( const VT1& lhs, const VT2& rhs ) noexcept
450  : lhs_( lhs ) // Left-hand side dense vector of the multiplication expression
451  , rhs_( rhs ) // Right-hand side dense vector of the multiplication expression
452  {
453  BLAZE_INTERNAL_ASSERT( lhs.size() == rhs.size(), "Invalid vector sizes" );
454  }
455  //**********************************************************************************************
456 
457  //**Subscript operator**************************************************************************
463  inline ReturnType operator[]( size_t index ) const {
464  BLAZE_INTERNAL_ASSERT( index < lhs_.size(), "Invalid vector access index" );
465  return lhs_[index] * rhs_[index];
466  }
467  //**********************************************************************************************
468 
469  //**At function*********************************************************************************
476  inline ReturnType at( size_t index ) const {
477  if( index >= lhs_.size() ) {
478  BLAZE_THROW_OUT_OF_RANGE( "Invalid vector access index" );
479  }
480  return (*this)[index];
481  }
482  //**********************************************************************************************
483 
484  //**Load function*******************************************************************************
490  BLAZE_ALWAYS_INLINE auto load( size_t index ) const noexcept {
491  BLAZE_INTERNAL_ASSERT( index < lhs_.size() , "Invalid vector access index" );
492  BLAZE_INTERNAL_ASSERT( index % SIMDSIZE == 0UL, "Invalid vector access index" );
493  return lhs_.load( index ) * rhs_.load( index );
494  }
495  //**********************************************************************************************
496 
497  //**Begin function******************************************************************************
502  inline ConstIterator begin() const {
503  return ConstIterator( lhs_.begin(), rhs_.begin() );
504  }
505  //**********************************************************************************************
506 
507  //**End function********************************************************************************
512  inline ConstIterator end() const {
513  return ConstIterator( lhs_.end(), rhs_.end() );
514  }
515  //**********************************************************************************************
516 
517  //**Size function*******************************************************************************
522  inline size_t size() const noexcept {
523  return lhs_.size();
524  }
525  //**********************************************************************************************
526 
527  //**Left operand access*************************************************************************
532  inline LeftOperand leftOperand() const noexcept {
533  return lhs_;
534  }
535  //**********************************************************************************************
536 
537  //**Right operand access************************************************************************
542  inline RightOperand rightOperand() const noexcept {
543  return rhs_;
544  }
545  //**********************************************************************************************
546 
547  //**********************************************************************************************
553  template< typename T >
554  inline bool canAlias( const T* alias ) const noexcept {
555  return ( IsExpression<VT1>::value && ( RequiresEvaluation<VT1>::value ? lhs_.isAliased( alias ) : lhs_.canAlias( alias ) ) ) ||
556  ( IsExpression<VT2>::value && ( RequiresEvaluation<VT2>::value ? rhs_.isAliased( alias ) : rhs_.canAlias( alias ) ) );
557  }
558  //**********************************************************************************************
559 
560  //**********************************************************************************************
566  template< typename T >
567  inline bool isAliased( const T* alias ) const noexcept {
568  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
569  }
570  //**********************************************************************************************
571 
572  //**********************************************************************************************
577  inline bool isAligned() const noexcept {
578  return lhs_.isAligned() && rhs_.isAligned();
579  }
580  //**********************************************************************************************
581 
582  //**********************************************************************************************
587  inline bool canSMPAssign() const noexcept {
588  return lhs_.canSMPAssign() || rhs_.canSMPAssign() ||
589  ( size() > SMP_DVECDVECMULT_THRESHOLD );
590  }
591  //**********************************************************************************************
592 
593  private:
594  //**Member variables****************************************************************************
597  //**********************************************************************************************
598 
599  //**Assignment to dense vectors*****************************************************************
613  template< typename VT > // Type of the target dense vector
614  friend inline EnableIf_< UseAssign<VT> >
615  assign( DenseVector<VT,TF>& lhs, const DVecDVecMultExpr& rhs )
616  {
618 
619  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
620 
621  if( !IsComputation<VT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
622  multAssign( ~lhs, rhs.rhs_ );
623  }
624  else if( !IsComputation<VT2>::value && isSame( ~lhs, rhs.rhs_ ) ) {
625  multAssign( ~lhs, rhs.lhs_ );
626  }
627  else {
628  assign ( ~lhs, rhs.lhs_ );
629  multAssign( ~lhs, rhs.rhs_ );
630  }
631  }
633  //**********************************************************************************************
634 
635  //**Assignment to sparse vectors****************************************************************
649  template< typename VT > // Type of the target sparse vector
650  friend inline EnableIf_< UseAssign<VT> >
651  assign( SparseVector<VT,TF>& lhs, const DVecDVecMultExpr& rhs )
652  {
654 
658 
659  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
660 
661  const ResultType tmp( serial( rhs ) );
662  assign( ~lhs, tmp );
663  }
665  //**********************************************************************************************
666 
667  //**Addition assignment to dense vectors********************************************************
681  template< typename VT > // Type of the target dense vector
682  friend inline EnableIf_< UseAssign<VT> >
683  addAssign( DenseVector<VT,TF>& lhs, const DVecDVecMultExpr& rhs )
684  {
686 
690 
691  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
692 
693  const ResultType tmp( serial( rhs ) );
694  addAssign( ~lhs, tmp );
695  }
697  //**********************************************************************************************
698 
699  //**Addition assignment to sparse vectors*******************************************************
700  // No special implementation for the addition assignment to sparse vectors.
701  //**********************************************************************************************
702 
703  //**Subtraction assignment to dense vectors*****************************************************
717  template< typename VT > // Type of the target dense vector
718  friend inline EnableIf_< UseAssign<VT> >
719  subAssign( DenseVector<VT,TF>& lhs, const DVecDVecMultExpr& rhs )
720  {
722 
726 
727  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
728 
729  const ResultType tmp( serial( rhs ) );
730  subAssign( ~lhs, tmp );
731  }
733  //**********************************************************************************************
734 
735  //**Subtraction assignment to sparse vectors****************************************************
736  // No special implementation for the subtraction assignment to sparse vectors.
737  //**********************************************************************************************
738 
739  //**Multiplication assignment to dense vectors**************************************************
753  template< typename VT > // Type of the target dense vector
754  friend inline EnableIf_< UseAssign<VT> >
755  multAssign( DenseVector<VT,TF>& lhs, const DVecDVecMultExpr& rhs )
756  {
758 
759  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
760 
761  multAssign( ~lhs, rhs.lhs_ );
762  multAssign( ~lhs, rhs.rhs_ );
763  }
765  //**********************************************************************************************
766 
767  //**Multiplication assignment to sparse vectors*************************************************
781  template< typename VT > // Type of the target sparse vector
782  friend inline EnableIf_< UseAssign<VT> >
783  multAssign( SparseVector<VT,TF>& lhs, const DVecDVecMultExpr& rhs )
784  {
786 
787  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
788 
789  multAssign( ~lhs, rhs.lhs_ );
790  multAssign( ~lhs, rhs.rhs_ );
791  }
793  //**********************************************************************************************
794 
795  //**Division assignment to dense vectors********************************************************
809  template< typename VT > // Type of the target dense vector
810  friend inline EnableIf_< UseAssign<VT> >
811  divAssign( DenseVector<VT,TF>& lhs, const DVecDVecMultExpr& rhs )
812  {
814 
818 
819  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
820 
821  const ResultType tmp( serial( rhs ) );
822  divAssign( ~lhs, tmp );
823  }
825  //**********************************************************************************************
826 
827  //**Division assignment to sparse vectors*******************************************************
828  // No special implementation for the division assignment to sparse vectors.
829  //**********************************************************************************************
830 
831  //**SMP assignment to dense vectors*************************************************************
845  template< typename VT > // Type of the target dense vector
846  friend inline EnableIf_< UseSMPAssign<VT> >
847  smpAssign( DenseVector<VT,TF>& lhs, const DVecDVecMultExpr& rhs )
848  {
850 
851  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
852 
853  if( !IsComputation<VT1>::value && isSame( ~lhs, rhs.lhs_ ) ) {
854  smpMultAssign( ~lhs, rhs.rhs_ );
855  }
856  else if( !IsComputation<VT2>::value && isSame( ~lhs, rhs.rhs_ ) ) {
857  smpMultAssign( ~lhs, rhs.lhs_ );
858  }
859  else {
860  smpAssign ( ~lhs, rhs.lhs_ );
861  smpMultAssign( ~lhs, rhs.rhs_ );
862  }
863  }
865  //**********************************************************************************************
866 
867  //**SMP assignment to sparse vectors************************************************************
881  template< typename VT > // Type of the target sparse vector
882  friend inline EnableIf_< UseSMPAssign<VT> >
884  {
886 
890 
891  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
892 
893  const ResultType tmp( rhs );
894  smpAssign( ~lhs, tmp );
895  }
897  //**********************************************************************************************
898 
899  //**SMP addition assignment to dense vectors****************************************************
913  template< typename VT > // Type of the target dense vector
914  friend inline EnableIf_< UseSMPAssign<VT> >
916  {
918 
922 
923  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
924 
925  const ResultType tmp( rhs );
926  smpAddAssign( ~lhs, tmp );
927  }
929  //**********************************************************************************************
930 
931  //**SMP addition assignment to sparse vectors***************************************************
932  // No special implementation for the SMP addition assignment to sparse vectors.
933  //**********************************************************************************************
934 
935  //**SMP subtraction assignment to dense vectors*************************************************
950  template< typename VT > // Type of the target dense vector
951  friend inline EnableIf_< UseSMPAssign<VT> >
953  {
955 
959 
960  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
961 
962  const ResultType tmp( rhs );
963  smpSubAssign( ~lhs, tmp );
964  }
966  //**********************************************************************************************
967 
968  //**SMP subtraction assignment to sparse vectors************************************************
969  // No special implementation for the SMP subtraction assignment to sparse vectors.
970  //**********************************************************************************************
971 
972  //**SMP multiplication assignment to dense vectors**********************************************
987  template< typename VT > // Type of the target dense vector
988  friend inline EnableIf_< UseSMPAssign<VT> >
990  {
992 
993  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
994 
995  smpMultAssign( ~lhs, rhs.lhs_ );
996  smpMultAssign( ~lhs, rhs.rhs_ );
997  }
999  //**********************************************************************************************
1000 
1001  //**SMP multiplication assignment to sparse vectors*********************************************
1016  template< typename VT > // Type of the target sparse vector
1017  friend inline EnableIf_< UseSMPAssign<VT> >
1019  {
1021 
1022  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
1023 
1024  smpMultAssign( ~lhs, rhs.lhs_ );
1025  smpMultAssign( ~lhs, rhs.rhs_ );
1026  }
1028  //**********************************************************************************************
1029 
1030  //**SMP division assignment to dense vectors****************************************************
1044  template< typename VT > // Type of the target dense vector
1045  friend inline EnableIf_< UseSMPAssign<VT> >
1047  {
1049 
1053 
1054  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
1055 
1056  const ResultType tmp( rhs );
1057  smpDivAssign( ~lhs, tmp );
1058  }
1060  //**********************************************************************************************
1061 
1062  //**SMP division assignment to sparse vectors***************************************************
1063  // No special implementation for the SMP division assignment to sparse vectors.
1064  //**********************************************************************************************
1065 
1066  //**Compile time checks*************************************************************************
1074  //**********************************************************************************************
1075 };
1076 //*************************************************************************************************
1077 
1078 
1079 
1080 
1081 //=================================================================================================
1082 //
1083 // GLOBAL BINARY ARITHMETIC OPERATORS
1084 //
1085 //=================================================================================================
1086 
1087 //*************************************************************************************************
1112 template< typename VT1 // Type of the left-hand side dense vector
1113  , typename VT2 // Type of the right-hand side dense vector
1114  , bool TF > // Transpose flag
1115 inline decltype(auto)
1116  operator*( const DenseVector<VT1,TF>& lhs, const DenseVector<VT2,TF>& rhs )
1117 {
1119 
1120  if( (~lhs).size() != (~rhs).size() ) {
1121  BLAZE_THROW_INVALID_ARGUMENT( "Vector sizes do not match" );
1122  }
1123 
1125  return ReturnType( ~lhs, ~rhs );
1126 }
1127 //*************************************************************************************************
1128 
1129 
1130 
1131 
1132 //=================================================================================================
1133 //
1134 // SIZE SPECIALIZATIONS
1135 //
1136 //=================================================================================================
1137 
1138 //*************************************************************************************************
1140 template< typename VT1, typename VT2, bool TF >
1141 struct Size< DVecDVecMultExpr<VT1,VT2,TF> >
1142  : public Maximum< Size<VT1>, Size<VT2> >
1143 {};
1145 //*************************************************************************************************
1146 
1147 
1148 
1149 
1150 //=================================================================================================
1151 //
1152 // ISALIGNED SPECIALIZATIONS
1153 //
1154 //=================================================================================================
1155 
1156 //*************************************************************************************************
1158 template< typename VT1, typename VT2, bool TF >
1159 struct IsAligned< DVecDVecMultExpr<VT1,VT2,TF> >
1160  : public BoolConstant< And< IsAligned<VT1>, IsAligned<VT2> >::value >
1161 {};
1163 //*************************************************************************************************
1164 
1165 
1166 
1167 
1168 //=================================================================================================
1169 //
1170 // ISPADDED SPECIALIZATIONS
1171 //
1172 //=================================================================================================
1173 
1174 //*************************************************************************************************
1176 template< typename VT1, typename VT2, bool TF >
1177 struct IsPadded< DVecDVecMultExpr<VT1,VT2,TF> >
1178  : public BoolConstant< And< IsPadded<VT1>, IsPadded<VT2> >::value >
1179 {};
1181 //*************************************************************************************************
1182 
1183 } // namespace blaze
1184 
1185 #endif
ReturnType_< VT1 > RN1
Return type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:104
RightIteratorType right_
Iterator to the current right-hand side element.
Definition: DVecDVecMultExpr.h:424
#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.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:72
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: DVecDVecMultExpr.h:532
Compile time check whether the given type is a temporary vector or matrix type.This type trait class ...
Definition: IsTemporary.h:70
CompositeType_< VT2 > CT2
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:107
ConstIterator & operator++()
Pre-increment operator.
Definition: DVecDVecMultExpr.h:249
ConstIterator(LeftIteratorType left, RightIteratorType right)
Constructor for the ConstIterator class.
Definition: DVecDVecMultExpr.h:212
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.
Iterator over the elements of the dense vector.
Definition: DVecDVecMultExpr.h:182
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.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DVecDVecMultExpr.h:554
MultTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: DVecDVecMultExpr.h:162
LeftOperand lhs_
Left-hand side dense vector of the multiplication expression.
Definition: DVecDVecMultExpr.h:595
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
ReturnType operator*() const
Direct access to the element at the current iterator position.
Definition: DVecDVecMultExpr.h:293
ElementType * PointerType
Pointer return type.
Definition: DVecDVecMultExpr.h:188
If_< IsExpression< VT2 >, const VT2, const VT2 &> RightOperand
Composite type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:176
Availability of a SIMD multiplication for the given data types.Depending on the available instruction...
Definition: HasSIMDMult.h:172
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: DVecDVecMultExpr.h:476
DifferenceType operator-(const ConstIterator &rhs) const
Calculating the number of elements between two iterators.
Definition: DVecDVecMultExpr.h:380
EnableIf_< IsDenseVector< VT1 > > smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:193
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
Header file for the DenseVector base class.
LeftIteratorType left_
Iterator to the current left-hand side element.
Definition: DVecDVecMultExpr.h:423
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:250
Header file for the Computation base class.
PointerType pointer
Pointer return type.
Definition: DVecDVecMultExpr.h:195
Header file for the RequiresEvaluation type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
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
ConstIterator_< VT2 > RightIteratorType
ConstIterator type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:203
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:363
ElementType ValueType
Type of the underlying elements.
Definition: DVecDVecMultExpr.h:187
ConstIterator begin() const
Returns an iterator to the first non-zero element of the dense vector.
Definition: DVecDVecMultExpr.h:502
bool operator>(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:347
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
Header file for the Maximum class template.
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:112
Header file for the MultExprTrait class template.
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
Header file for the IsTemporary type trait class.
const ConstIterator operator++(int)
Post-increment operator.
Definition: DVecDVecMultExpr.h:261
Header file for the multiplication trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#define BLAZE_ALWAYS_INLINE
Platform dependent setup of an enforced inline keyword.
Definition: Inline.h:85
Header file for the If class template.
bool operator==(const ConstIterator &rhs) const
Equality comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:314
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DVecDVecMultExpr.h:577
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 canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DVecDVecMultExpr.h:587
#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
IfTrue_< useAssign, const ResultType, const DVecDVecMultExpr &> CompositeType
Data type for composite expression templates.
Definition: DVecDVecMultExpr.h:170
ConstIterator & operator-=(size_t dec)
Subtraction assignment operator.
Definition: DVecDVecMultExpr.h:237
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:3087
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.
ResultType_< VT1 > RT1
Result type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:102
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DVecDVecMultExpr.h:163
MultExprTrait_< RN1, RN2 > ExprReturnType
Expression return type for the subscript operator.
Definition: DVecDVecMultExpr.h:122
RightOperand rightOperand() const noexcept
Returns the right-hand side dense vector operand.
Definition: DVecDVecMultExpr.h:542
Header file for the IsAligned type trait.
auto load() const noexcept
Access to the SIMD elements of the vector.
Definition: DVecDVecMultExpr.h:303
Constraint on the data type.
CompositeType_< VT1 > CT1
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:106
If_< IsExpression< VT1 >, const VT1, const VT1 &> LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:173
const ConstIterator operator--(int)
Post-decrement operator.
Definition: DVecDVecMultExpr.h:283
Constraint on the data type.
Header file for the exception macros of the math module.
Header file for the VecVecMultExpr base class.
ResultType_< VT2 > RT2
Result type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:103
Constraint on the data type.
Header file for all forward declarations for expression class templates.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DVecDVecMultExpr.h:463
Expression object for dense vector-dense vector multiplications.The DVecDVecMultExpr class represents...
Definition: DVecDVecMultExpr.h:96
Header file for the EnableIf class template.
ElementType_< VT2 > ET2
Element type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:109
Header file for the IsPadded type trait.
ReferenceType reference
Reference return type.
Definition: DVecDVecMultExpr.h:196
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: DVecDVecMultExpr.h:522
ElementType & ReferenceType
Reference return type.
Definition: DVecDVecMultExpr.h:189
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DVecDVecMultExpr.h:567
BLAZE_ALWAYS_INLINE auto load(size_t index) const noexcept
Access to the SIMD elements of the vector.
Definition: DVecDVecMultExpr.h:490
bool operator<(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:336
Header file for the HasSIMDMult type trait.
Header file for run time assertion macros.
bool operator!=(const ConstIterator &rhs) const
Inequality comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:325
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
EnableIf_< IsDenseVector< VT1 > > smpDivAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP division assignment of a vector to a dense vector.
Definition: DenseVector.h:222
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
DVecDVecMultExpr(const VT1 &lhs, const VT2 &rhs) noexcept
Constructor for the DVecDVecMultExpr class.
Definition: DVecDVecMultExpr.h:449
ConstIterator & operator--()
Pre-decrement operator.
Definition: DVecDVecMultExpr.h:271
ReturnType_< VT2 > RN2
Return type of the right-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:105
friend const ConstIterator operator+(const ConstIterator &it, size_t inc)
Addition between a ConstIterator and an integral value.
Definition: DVecDVecMultExpr.h:392
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
std::random_access_iterator_tag IteratorCategory
The iterator category.
Definition: DVecDVecMultExpr.h:186
#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
bool operator<=(const ConstIterator &rhs) const
Less-than comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:358
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
ConstIterator end() const
Returns an iterator just past the last non-zero element of the dense vector.
Definition: DVecDVecMultExpr.h:512
ConstIterator_< VT1 > LeftIteratorType
ConstIterator type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:200
IteratorCategory iterator_category
The iterator category.
Definition: DVecDVecMultExpr.h:193
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
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional vector type...
Definition: DenseVector.h:61
ElementType_< VT1 > ET1
Element type of the left-hand side dense vector expression.
Definition: DVecDVecMultExpr.h:108
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_VECVECMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid vector/vector ...
Definition: VecVecMultExpr.h:108
friend const ConstIterator operator-(const ConstIterator &it, size_t dec)
Subtraction between a ConstIterator and an integral value.
Definition: DVecDVecMultExpr.h:416
Header file for the IsComputation type trait class.
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Compile time evaluation of the size of a vector.The Size type trait evaluates the size of the given v...
Definition: Size.h:74
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:130
const IfTrue_< returnExpr, ExprReturnType, ElementType > ReturnType
Return type for expression template evaluations.
Definition: DVecDVecMultExpr.h:167
Header file for the IntegralConstant class template.
RightOperand rhs_
Right-hand side dense vector of the multiplication expression.
Definition: DVecDVecMultExpr.h:596
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
ConstIterator & operator+=(size_t inc)
Addition assignment operator.
Definition: DVecDVecMultExpr.h:224
friend const ConstIterator operator+(size_t inc, const ConstIterator &it)
Addition between an integral value and a ConstIterator.
Definition: DVecDVecMultExpr.h:404
System settings for the inline keywords.
Header file for the Size type trait.
ValueType value_type
Type of the underlying elements.
Definition: DVecDVecMultExpr.h:194
#define BLAZE_CONSTRAINT_MUST_BE_VECTOR_WITH_TRANSPOSE_FLAG(T, TF)
Constraint on the data type.In case the given data type T is not a dense or sparse vector type and in...
Definition: TransposeFlag.h:63
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
Base class for all vector/vector multiplication expression templates.The VecVecMultExpr class serves ...
Definition: VecVecMultExpr.h:66
#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
bool operator>=(const ConstIterator &rhs) const
Greater-than comparison between two ConstIterator objects.
Definition: DVecDVecMultExpr.h:369
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DVecDVecMultExpr.h:164
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.