TDVecSMatMultExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TDVECSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TDVECSMATMULTEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
51 #include <blaze/math/Exception.h>
57 #include <blaze/math/shims/Reset.h>
73 #include <blaze/util/Assert.h>
75 #include <blaze/util/DisableIf.h>
76 #include <blaze/util/EnableIf.h>
79 #include <blaze/util/mpl/If.h>
80 #include <blaze/util/mpl/Or.h>
81 #include <blaze/util/Types.h>
83 
84 
85 namespace blaze {
86 
87 //=================================================================================================
88 //
89 // CLASS TDVECSMATMULTEXPR
90 //
91 //=================================================================================================
92 
93 //*************************************************************************************************
100 template< typename VT // Type of the left-hand side dense vector
101  , typename MT > // Type of the right-hand side sparse matrix
102 class TDVecSMatMultExpr : public DenseVector< TDVecSMatMultExpr<VT,MT>, true >
103  , private TVecMatMultExpr
104  , private Computation
105 {
106  private:
107  //**Type definitions****************************************************************************
112  //**********************************************************************************************
113 
114  //**********************************************************************************************
116  enum : bool { evaluateVector = IsComputation<VT>::value || RequiresEvaluation<VT>::value };
117  //**********************************************************************************************
118 
119  //**********************************************************************************************
121  enum : bool { evaluateMatrix = RequiresEvaluation<MT>::value };
122  //**********************************************************************************************
123 
124  //**********************************************************************************************
126 
130  template< typename T1 >
131  struct UseSMPAssign {
132  enum : bool { value = ( evaluateVector || evaluateMatrix ) };
133  };
135  //**********************************************************************************************
136 
137  public:
138  //**Type definitions****************************************************************************
143  typedef const ElementType ReturnType;
144  typedef const ResultType CompositeType;
145 
147  typedef If_< IsExpression<VT>, const VT, const VT& > LeftOperand;
148 
150  typedef If_< IsExpression<MT>, const MT, const MT& > RightOperand;
151 
154 
157  //**********************************************************************************************
158 
159  //**Compilation flags***************************************************************************
161  enum : bool { simdEnabled = false };
162 
164  enum : bool { smpAssignable = !evaluateVector && VT::smpAssignable &&
165  !evaluateMatrix && MT::smpAssignable };
166  //**********************************************************************************************
167 
168  //**Constructor*********************************************************************************
171  explicit inline TDVecSMatMultExpr( const VT& vec, const MT& mat ) noexcept
172  : vec_( vec ) // Left-hand side dense vector of the multiplication expression
173  , mat_( mat ) // Right-hand side sparse matrix of the multiplication expression
174  {
175  BLAZE_INTERNAL_ASSERT( vec_.size() == mat.rows(), "Invalid vector and matrix sizes" );
176  }
177  //**********************************************************************************************
178 
179  //**Subscript operator**************************************************************************
185  inline ReturnType operator[]( size_t index ) const {
186  BLAZE_INTERNAL_ASSERT( index < mat_.columns(), "Invalid vector access index" );
187 
189  {
190  return vec_[index] * mat_(index,index);
191  }
192  else if( IsLower<MT>::value )
193  {
194  const size_t begin( IsStrictlyLower<MT>::value ? index+1UL : index );
195  const size_t n ( mat_.rows() - begin );
196  return subvector( vec_, begin, n ) * subvector( column( mat_, index ), begin, n );
197  }
198  else if( IsUpper<MT>::value )
199  {
200  const size_t n( IsStrictlyUpper<MT>::value ? index : index+1UL );
201  return subvector( vec_, 0UL, n ) * subvector( column( mat_, index ), 0UL, n );
202  }
203  else
204  {
205  return vec_ * column( mat_, index );
206  }
207  }
208  //**********************************************************************************************
209 
210  //**At function*********************************************************************************
217  inline ReturnType at( size_t index ) const {
218  if( index >= mat_.columns() ) {
219  BLAZE_THROW_OUT_OF_RANGE( "Invalid vector access index" );
220  }
221  return (*this)[index];
222  }
223  //**********************************************************************************************
224 
225  //**Size function*******************************************************************************
230  inline size_t size() const noexcept {
231  return mat_.columns();
232  }
233  //**********************************************************************************************
234 
235  //**Left operand access*************************************************************************
240  inline LeftOperand leftOperand() const noexcept {
241  return vec_;
242  }
243  //**********************************************************************************************
244 
245  //**Right operand access************************************************************************
250  inline RightOperand rightOperand() const noexcept {
251  return mat_;
252  }
253  //**********************************************************************************************
254 
255  //**********************************************************************************************
261  template< typename T >
262  inline bool canAlias( const T* alias ) const noexcept {
263  return ( vec_.isAliased( alias ) || mat_.isAliased( alias ) );
264  }
265  //**********************************************************************************************
266 
267  //**********************************************************************************************
273  template< typename T >
274  inline bool isAliased( const T* alias ) const noexcept {
275  return ( vec_.isAliased( alias ) || mat_.isAliased( alias ) );
276  }
277  //**********************************************************************************************
278 
279  //**********************************************************************************************
284  inline bool isAligned() const noexcept {
285  return vec_.isAligned();
286  }
287  //**********************************************************************************************
288 
289  //**********************************************************************************************
294  inline bool canSMPAssign() const noexcept {
295  return ( size() > SMP_TDVECSMATMULT_THRESHOLD );
296  }
297  //**********************************************************************************************
298 
299  private:
300  //**Member variables****************************************************************************
301  LeftOperand vec_;
302  RightOperand mat_;
303  //**********************************************************************************************
304 
305  //**Assignment to dense vectors*****************************************************************
317  template< typename VT2 > // Type of the target dense vector
318  friend inline void assign( DenseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
319  {
321 
322  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
323 
324  reset( ~lhs );
325 
326  if( rhs.mat_.rows() == 0UL ) return;
327 
328  LT x( serial( rhs.vec_ ) ); // Evaluation of the left-hand side dense vector operator
329  RT A( serial( rhs.mat_ ) ); // Evaluation of the right-hand side sparse matrix operator
330 
331  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
332  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
333  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
334  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
335 
336  TDVecSMatMultExpr::selectAssignKernel( ~lhs, x, A );
337  }
338  //**********************************************************************************************
339 
340  //**Optimized assignment to dense vectors*******************************************************
354  template< typename VT1 // Type of the left-hand side target vector
355  , typename VT2 // Type of the left-hand side vector operand
356  , typename MT1 > // Type of the right-hand side matrix operand
357  static inline void selectAssignKernel( VT1& y, const VT2& x, const MT1& A )
358  {
360 
361  for( size_t i=0UL; i<x.size(); ++i )
362  {
363  const ConstIterator end( A.end(i) );
364  ConstIterator element( A.begin(i) );
365 
366  for( ; element!=end; ++element ) {
367  if( IsResizable< ElementType_<VT1> >::value &&
368  isDefault( y[element->index()] ) )
369  y[element->index()] = x[i] * element->value();
370  else
371  y[element->index()] += x[i] * element->value();
372  }
373  }
374  }
376  //**********************************************************************************************
377 
378  //**Assignment to sparse vectors****************************************************************
390  template< typename VT2 > // Type of the target sparse vector
391  friend inline void assign( SparseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
392  {
394 
398 
399  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
400 
401  const ResultType tmp( serial( rhs ) );
402  assign( ~lhs, tmp );
403  }
404  //**********************************************************************************************
405 
406  //**Addition assignment to dense vectors********************************************************
418  template< typename VT2 > // Type of the target dense vector
419  friend inline void addAssign( DenseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
420  {
422 
423  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
424 
425  if( rhs.mat_.rows() == 0UL ) {
426  return;
427  }
428 
429  LT x( serial( rhs.vec_ ) ); // Evaluation of the left-hand side dense vector operator
430  RT A( serial( rhs.mat_ ) ); // Evaluation of the right-hand side sparse matrix operator
431 
432  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
433  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
434  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
435  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
436 
437  TDVecSMatMultExpr::selectAddAssignKernel( ~lhs, x, A );
438  }
439  //**********************************************************************************************
440 
441  //**Optimized addition assignment to dense vectors*************************************************
455  template< typename VT1 // Type of the left-hand side target vector
456  , typename VT2 // Type of the left-hand side vector operand
457  , typename MT1 > // Type of the right-hand side matrix operand
458  static inline void selectAddAssignKernel( VT1& y, const VT2& x, const MT1& A )
459  {
461 
462  for( size_t i=0UL; i<x.size(); ++i )
463  {
464  const ConstIterator end( A.end(i) );
465  ConstIterator element( A.begin(i) );
466 
467  for( ; element!=end; ++element ) {
468  y[element->index()] += x[i] * element->value();
469  }
470  }
471  }
473  //**********************************************************************************************
474 
475  //**Addition assignment to sparse vectors*******************************************************
476  // No special implementation for the addition assignment to sparse vectors.
477  //**********************************************************************************************
478 
479  //**Subtraction assignment to dense vectors*****************************************************
491  template< typename VT2 > // Type of the target dense vector
492  friend inline void subAssign( DenseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
493  {
495 
496  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
497 
498  if( rhs.mat_.rows() == 0UL ) {
499  return;
500  }
501 
502  LT x( serial( rhs.vec_ ) ); // Evaluation of the left-hand side dense vector operator
503  RT A( serial( rhs.mat_ ) ); // Evaluation of the right-hand side sparse matrix operator
504 
505  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
506  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
507  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
508  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
509 
510  TDVecSMatMultExpr::selectSubAssignKernel( ~lhs, x, A );
511  }
512  //**********************************************************************************************
513 
514  //**Optimized subtraction assignment to dense vectors**********************************************
528  template< typename VT1 // Type of the left-hand side target vector
529  , typename VT2 // Type of the left-hand side vector operand
530  , typename MT1 > // Type of the right-hand side matrix operand
531  static inline void selectSubAssignKernel( VT1& y, const VT2& x, const MT1& A )
532  {
534 
535  for( size_t i=0UL; i<x.size(); ++i )
536  {
537  const ConstIterator end( A.end(i) );
538  ConstIterator element( A.begin(i) );
539 
540  for( ; element!=end; ++element ) {
541  y[element->index()] -= x[i] * element->value();
542  }
543  }
544  }
546  //**********************************************************************************************
547 
548  //**Subtraction assignment to sparse vectors****************************************************
549  // No special implementation for the subtraction assignment to sparse vectors.
550  //**********************************************************************************************
551 
552  //**Multiplication assignment to dense vectors**************************************************
564  template< typename VT2 > // Type of the target dense vector
565  friend inline void multAssign( DenseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
566  {
568 
572 
573  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
574 
575  const ResultType tmp( serial( rhs ) );
576  multAssign( ~lhs, tmp );
577  }
578  //**********************************************************************************************
579 
580  //**Multiplication assignment to sparse vectors*************************************************
581  // No special implementation for the multiplication assignment to sparse vectors.
582  //**********************************************************************************************
583 
584  //**Division assignment to dense vectors********************************************************
596  template< typename VT2 > // Type of the target dense vector
597  friend inline void divAssign( DenseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
598  {
600 
604 
605  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
606 
607  const ResultType tmp( serial( rhs ) );
608  divAssign( ~lhs, tmp );
609  }
610  //**********************************************************************************************
611 
612  //**Division assignment to sparse vectors*******************************************************
613  // No special implementation for the division assignment to sparse vectors.
614  //**********************************************************************************************
615 
616  //**SMP assignment to dense vectors*************************************************************
630  template< typename VT2 > // Type of the target dense vector
631  friend inline EnableIf_< UseSMPAssign<VT2> >
633  {
635 
636  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
637 
638  reset( ~lhs );
639 
640  if( rhs.mat_.rows() == 0UL ) return;
641 
642  LT x( rhs.vec_ ); // Evaluation of the left-hand side dense vector operator
643  RT A( rhs.mat_ ); // Evaluation of the right-hand side sparse matrix operator
644 
645  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
646  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
647  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
648  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
649 
650  smpAssign( ~lhs, x * A );
651  }
652  //**********************************************************************************************
653 
654  //**SMP assignment to sparse vectors************************************************************
668  template< typename VT2 > // Type of the target sparse vector
669  friend inline EnableIf_< UseSMPAssign<VT2> >
671  {
673 
677 
678  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
679 
680  const ResultType tmp( rhs );
681  smpAssign( ~lhs, tmp );
682  }
683  //**********************************************************************************************
684 
685  //**SMP addition assignment to dense vectors****************************************************
699  template< typename VT2 > // Type of the target dense vector
700  friend inline EnableIf_< UseSMPAssign<VT2> >
702  {
704 
705  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
706 
707  if( rhs.mat_.rows() == 0UL ) {
708  return;
709  }
710 
711  LT x( rhs.vec_ ); // Evaluation of the left-hand side dense vector operator
712  RT A( rhs.mat_ ); // Evaluation of the right-hand side sparse matrix operator
713 
714  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
715  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
716  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
717  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
718 
719  smpAddAssign( ~lhs, x * A );
720  }
721  //**********************************************************************************************
722 
723  //**SMP addition assignment to sparse vectors***************************************************
724  // No special implementation for the SMP addition assignment to sparse vectors.
725  //**********************************************************************************************
726 
727  //**SMP subtraction assignment to dense vectors*************************************************
741  template< typename VT2 > // Type of the target dense vector
742  friend inline EnableIf_< UseSMPAssign<VT2> >
744  {
746 
747  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
748 
749  if( rhs.mat_.rows() == 0UL ) {
750  return;
751  }
752 
753  LT x( rhs.vec_ ); // Evaluation of the left-hand side dense vector operator
754  RT A( rhs.mat_ ); // Evaluation of the right-hand side sparse matrix operator
755 
756  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
757  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
758  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
759  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
760 
761  smpSubAssign( ~lhs, x * A );
762  }
763  //**********************************************************************************************
764 
765  //**SMP subtraction assignment to sparse vectors************************************************
766  // No special implementation for the SMP subtraction assignment to sparse vectors.
767  //**********************************************************************************************
768 
769  //**SMP multiplication assignment to dense vectors**********************************************
783  template< typename VT2 > // Type of the target dense vector
784  friend inline EnableIf_< UseSMPAssign<VT2> >
786  {
788 
792 
793  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
794 
795  const ResultType tmp( rhs );
796  smpMultAssign( ~lhs, tmp );
797  }
798  //**********************************************************************************************
799 
800  //**SMP multiplication assignment to sparse vectors*********************************************
801  // No special implementation for the SMP multiplication assignment to sparse vectors.
802  //**********************************************************************************************
803 
804  //**SMP division assignment to dense vectors****************************************************
818  template< typename VT2 > // Type of the target dense vector
819  friend inline EnableIf_< UseSMPAssign<VT2> >
821  {
823 
827 
828  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
829 
830  const ResultType tmp( rhs );
831  smpDivAssign( ~lhs, tmp );
832  }
833  //**********************************************************************************************
834 
835  //**SMP division assignment to sparse vectors***************************************************
836  // No special implementation for the SMP division assignment to sparse vectors.
837  //**********************************************************************************************
838 
839  //**Compile time checks*************************************************************************
848  //**********************************************************************************************
849 };
850 //*************************************************************************************************
851 
852 
853 
854 
855 //=================================================================================================
856 //
857 // GLOBAL BINARY ARITHMETIC OPERATORS
858 //
859 //=================================================================================================
860 
861 //*************************************************************************************************
892 template< typename T1 // Type of the left-hand side dense vector
893  , typename T2 > // Type of the right-hand side sparse matrix
894 inline const DisableIf_< Or< IsSymmetric<T2>, IsMatMatMultExpr<T2> >, TDVecSMatMultExpr<T1,T2> >
896 {
898 
899  if( (~vec).size() != (~mat).rows() ) {
900  BLAZE_THROW_INVALID_ARGUMENT( "Vector and matrix sizes do not match" );
901  }
902 
903  return TDVecSMatMultExpr<T1,T2>( ~vec, ~mat );
904 }
905 //*************************************************************************************************
906 
907 
908 
909 
910 //=================================================================================================
911 //
912 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
913 //
914 //=================================================================================================
915 
916 //*************************************************************************************************
931 template< typename T1 // Type of the left-hand side dense vector
932  , typename T2 > // Type of the right-hand side sparse matrix
933 inline const EnableIf_< IsSymmetric<T2>, MultExprTrait_<T1,T2> >
934  operator*( const DenseVector<T1,true>& vec, const SparseMatrix<T2,false>& mat )
935 {
937 
939 
940  if( (~vec).size() != (~mat).rows() ) {
941  BLAZE_THROW_INVALID_ARGUMENT( "Vector and matrix sizes do not match" );
942  }
943 
944  return (~vec) * trans( ~mat );
945 }
947 //*************************************************************************************************
948 
949 
950 //*************************************************************************************************
963 template< typename T1 // Type of the left-hand side dense vector
964  , typename T2 // Type of the right-hand side sparse matrix
965  , bool SO > // Storage order of the right-hand side sparse matrix
966 inline const EnableIf_< IsMatMatMultExpr<T2>, MultExprTrait_<T1,T2> >
968 {
970 
972 
973  return ( vec * (~mat).leftOperand() ) * (~mat).rightOperand();
974 }
975 //*************************************************************************************************
976 
977 
978 
979 
980 //=================================================================================================
981 //
982 // SIZE SPECIALIZATIONS
983 //
984 //=================================================================================================
985 
986 //*************************************************************************************************
988 template< typename VT, typename MT >
989 struct Size< TDVecSMatMultExpr<VT,MT> > : public Columns<MT>
990 {};
992 //*************************************************************************************************
993 
994 
995 
996 
997 //=================================================================================================
998 //
999 // ISALIGNED SPECIALIZATIONS
1000 //
1001 //=================================================================================================
1002 
1003 //*************************************************************************************************
1005 template< typename VT, typename MT >
1006 struct IsAligned< TDVecSMatMultExpr<VT,MT> >
1007  : public BoolConstant< IsAligned<VT>::value >
1008 {};
1010 //*************************************************************************************************
1011 
1012 
1013 
1014 
1015 //=================================================================================================
1016 //
1017 // EXPRESSION TRAIT SPECIALIZATIONS
1018 //
1019 //=================================================================================================
1020 
1021 //*************************************************************************************************
1023 template< typename VT, typename MT, bool AF >
1024 struct SubvectorExprTrait< TDVecSMatMultExpr<VT,MT>, AF >
1025 {
1026  public:
1027  //**********************************************************************************************
1028  using Type = MultExprTrait_< SubvectorExprTrait_<const VT,AF>
1029  , SubmatrixExprTrait_<const MT,AF> >;
1030  //**********************************************************************************************
1031 };
1033 //*************************************************************************************************
1034 
1035 } // namespace blaze
1036 
1037 #endif
#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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDVecSMatMultExpr.h:274
Header file for auxiliary alias declarations.
friend EnableIf_< UseSMPAssign< VT2 > > smpDivAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP division assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( ...
Definition: TDVecSMatMultExpr.h:820
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:72
const DMatDMatMultExpr< T1, T2 > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:7800
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: TDVecSMatMultExpr.h:240
Header file for basic type definitions.
Expression object for transpose dense vector-sparse matrix multiplications.The TDVecSMatMultExpr clas...
Definition: Forward.h:137
If_< IsExpression< VT >, const VT, const VT & > LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:147
CompositeType_< MT > MCT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:111
If_< IsExpression< MT >, const MT, const MT & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:150
Header file for the serial shim.
BLAZE_ALWAYS_INLINE MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:188
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:533
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TDVecSMatMultExpr.h:230
Header file for the DenseVector base class.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
TDVecSMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TDVecSMatMultExpr class.
Definition: TDVecSMatMultExpr.h:171
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
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:245
TDVecSMatMultExpr< VT, MT > This
Type of this TDVecSMatMultExpr instance.
Definition: TDVecSMatMultExpr.h:139
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
friend void assign(SparseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Assignment of a transpose dense vector-sparse matrix multiplication to a sparse vector ( )...
Definition: TDVecSMatMultExpr.h:391
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
friend void divAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Division assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:597
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDVecSMatMultExpr.h:144
RightOperand mat_
Right-hand side sparse matrix of the multiplication expression.
Definition: TDVecSMatMultExpr.h:302
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT > >, ColumnExprTrait_< MT > > column(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific column of the given matrix.
Definition: Column.h:126
CompositeType_< VT > VCT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:110
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
LeftOperand vec_
Left-hand side dense vector of the multiplication expression.
Definition: TDVecSMatMultExpr.h:301
friend EnableIf_< UseSMPAssign< VT2 > > smpSubAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP subtraction assignment of a transpose dense vector-sparse matrix multiplication to a dense vector...
Definition: TDVecSMatMultExpr.h:743
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
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
Constraint on the data type.
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
SubvectorExprTrait_< VT, unaligned > subvector(Vector< VT, TF > &vector, size_t index, size_t size)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:152
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TDVecSMatMultExpr.h:185
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TDVecSMatMultExpr.h:294
Header file for the DisableIf class template.
friend void subAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Subtraction assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:492
Header file for the multiplication trait.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDVecSMatMultExpr.h:250
Header file for the IsSymmetric type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:141
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TDVecSMatMultExpr.h:217
friend void multAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Multiplication assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ...
Definition: TDVecSMatMultExpr.h:565
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2647
Header file for the Or class template.
Header file for the IsMatMatMultExpr type trait class.
#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 Columns type trait.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
friend EnableIf_< UseSMPAssign< VT2 > > smpAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:632
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
Header file for the IsAligned type trait.
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:90
IfTrue_< evaluateVector, const VRT, VCT > LT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:153
#define BLAZE_CONSTRAINT_MUST_NOT_BE_MATMATMULTEXPR_TYPE(T)
Constraint on the data type.In case the given data type T is a matrix/matrix multiplication expressio...
Definition: MatMatMultExpr.h:89
#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
Constraint on the data type.
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:254
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TDVecSMatMultExpr.h:284
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
ResultType_< VT > VRT
Result type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:108
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:79
Header file for the SubmatrixExprTrait class template.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: RowMajorMatrix.h:61
ResultType_< MT > MRT
Result type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:109
Header file for run time assertion macros.
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
Header file for the reset shim.
Constraint on the data type.
Header file for the isDefault shim.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDVecSMatMultExpr.h:262
Header file for the TVecMatMultExpr base class.
Constraint on the data type.
friend void addAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Addition assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:419
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
Header file for the RemoveReference type trait.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:143
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TDVecSMatMultExpr.h:142
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:314
friend void assign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:318
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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_TVECMATMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid vector/matrix ...
Definition: TVecMatMultExpr.h:110
friend EnableIf_< UseSMPAssign< VT2 > > smpMultAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP multiplication assignment of a transpose dense vector-sparse matrix multiplication to a dense vec...
Definition: TDVecSMatMultExpr.h:785
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:950
Header file for the IsComputation type trait class.
friend EnableIf_< UseSMPAssign< VT2 > > smpAssign(SparseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
SMP assignment of a transpose dense vector-sparse matrix multiplication to a sparse vector ( )...
Definition: TDVecSMatMultExpr.h:670
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:110
IfTrue_< evaluateMatrix, const MRT, MCT > RT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:156
#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
Header file for the IntegralConstant class template.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a row dense or sparse vector type (i...
Definition: RowVector.h:61
Header file for the SubvectorExprTrait class template.
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Constraint on the data type.
Header file for the IsResizable type trait.
Header file for the Size type trait.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
MultTrait_< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:140
#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
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
friend EnableIf_< UseSMPAssign< VT2 > > smpAddAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Addition assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:701