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 
55 #include <blaze/math/shims/Reset.h>
71 #include <blaze/util/Assert.h>
73 #include <blaze/util/DisableIf.h>
74 #include <blaze/util/EnableIf.h>
75 #include <blaze/util/Exception.h>
77 #include <blaze/util/mpl/Or.h>
78 #include <blaze/util/SelectType.h>
79 #include <blaze/util/Types.h>
81 
82 
83 namespace blaze {
84 
85 //=================================================================================================
86 //
87 // CLASS TDVECSMATMULTEXPR
88 //
89 //=================================================================================================
90 
91 //*************************************************************************************************
98 template< typename VT // Type of the left-hand side dense vector
99  , typename MT > // Type of the right-hand side sparse matrix
100 class TDVecSMatMultExpr : public DenseVector< TDVecSMatMultExpr<VT,MT>, true >
101  , private TVecMatMultExpr
102  , private Computation
103 {
104  private:
105  //**Type definitions****************************************************************************
106  typedef typename VT::ResultType VRT;
107  typedef typename MT::ResultType MRT;
108  typedef typename VT::CompositeType VCT;
109  typedef typename MT::CompositeType MCT;
110  //**********************************************************************************************
111 
112  //**********************************************************************************************
114  enum { evaluateVector = IsComputation<VT>::value || RequiresEvaluation<VT>::value };
115  //**********************************************************************************************
116 
117  //**********************************************************************************************
119  enum { evaluateMatrix = RequiresEvaluation<MT>::value };
120  //**********************************************************************************************
121 
122  //**********************************************************************************************
124 
128  template< typename T1 >
129  struct UseSMPAssign {
130  enum { value = ( evaluateVector || evaluateMatrix ) };
131  };
133  //**********************************************************************************************
134 
135  public:
136  //**Type definitions****************************************************************************
141  typedef const ElementType ReturnType;
142  typedef const ResultType CompositeType;
143 
145  typedef typename SelectType< IsExpression<VT>::value, const VT, const VT& >::Type LeftOperand;
146 
148  typedef typename SelectType< IsExpression<MT>::value, const MT, const MT& >::Type RightOperand;
149 
152 
155  //**********************************************************************************************
156 
157  //**Compilation flags***************************************************************************
159  enum { vectorizable = 0 };
160 
162  enum { smpAssignable = !evaluateVector && VT::smpAssignable &&
163  !evaluateMatrix && MT::smpAssignable };
164  //**********************************************************************************************
165 
166  //**Constructor*********************************************************************************
169  explicit inline TDVecSMatMultExpr( const VT& vec, const MT& mat )
170  : vec_( vec ) // Left-hand side dense vector of the multiplication expression
171  , mat_( mat ) // Right-hand side sparse matrix of the multiplication expression
172  {
173  BLAZE_INTERNAL_ASSERT( vec_.size() == mat.rows(), "Invalid vector and matrix sizes" );
174  }
175  //**********************************************************************************************
176 
177  //**Subscript operator**************************************************************************
183  inline ReturnType operator[]( size_t index ) const {
184  BLAZE_INTERNAL_ASSERT( index < mat_.columns(), "Invalid vector access index" );
185 
186  ElementType res;
187 
188  if( vec_.size() != 0UL ) {
189  res = vec_[0UL] * mat_(0UL,index);
190  for( size_t i=1UL; i<vec_.size(); ++i ) {
191  res += vec_[i] * mat_(i,index);
192  }
193  }
194  else {
195  reset( res );
196  }
197 
198  return res;
199  }
200  //**********************************************************************************************
201 
202  //**At function*********************************************************************************
209  inline ReturnType at( size_t index ) const {
210  if( index >= mat_.columns() ) {
211  BLAZE_THROW_OUT_OF_RANGE( "Invalid vector access index" );
212  }
213  return (*this)[index];
214  }
215  //**********************************************************************************************
216 
217  //**Size function*******************************************************************************
222  inline size_t size() const {
223  return mat_.columns();
224  }
225  //**********************************************************************************************
226 
227  //**Left operand access*************************************************************************
232  inline LeftOperand leftOperand() const {
233  return vec_;
234  }
235  //**********************************************************************************************
236 
237  //**Right operand access************************************************************************
242  inline RightOperand rightOperand() const {
243  return mat_;
244  }
245  //**********************************************************************************************
246 
247  //**********************************************************************************************
253  template< typename T >
254  inline bool canAlias( const T* alias ) const {
255  return ( vec_.isAliased( alias ) || mat_.isAliased( alias ) );
256  }
257  //**********************************************************************************************
258 
259  //**********************************************************************************************
265  template< typename T >
266  inline bool isAliased( const T* alias ) const {
267  return ( vec_.isAliased( alias ) || mat_.isAliased( alias ) );
268  }
269  //**********************************************************************************************
270 
271  //**********************************************************************************************
276  inline bool isAligned() const {
277  return vec_.isAligned();
278  }
279  //**********************************************************************************************
280 
281  //**********************************************************************************************
286  inline bool canSMPAssign() const {
287  return ( size() > SMP_TDVECSMATMULT_THRESHOLD );
288  }
289  //**********************************************************************************************
290 
291  private:
292  //**Member variables****************************************************************************
293  LeftOperand vec_;
294  RightOperand mat_;
295  //**********************************************************************************************
296 
297  //**Assignment to dense vectors*****************************************************************
309  template< typename VT2 > // Type of the target dense vector
310  friend inline void assign( DenseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
311  {
313 
314  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
315 
316  reset( ~lhs );
317 
318  if( rhs.mat_.rows() == 0UL ) return;
319 
320  LT x( serial( rhs.vec_ ) ); // Evaluation of the left-hand side dense vector operator
321  RT A( serial( rhs.mat_ ) ); // Evaluation of the right-hand side sparse matrix operator
322 
323  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
324  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
325  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
326  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
327 
328  TDVecSMatMultExpr::selectAssignKernel( ~lhs, x, A );
329  }
330  //**********************************************************************************************
331 
332  //**Optimized assignment to dense vectors*******************************************************
346  template< typename VT1 // Type of the left-hand side target vector
347  , typename VT2 // Type of the left-hand side vector operand
348  , typename MT1 > // Type of the right-hand side matrix operand
349  static inline void selectAssignKernel( VT1& y, const VT2& x, const MT1& A )
350  {
352 
353  for( size_t i=0UL; i<x.size(); ++i )
354  {
355  const ConstIterator end( A.end(i) );
356  ConstIterator element( A.begin(i) );
357 
358  for( ; element!=end; ++element ) {
360  isDefault( y[element->index()] ) )
361  y[element->index()] = x[i] * element->value();
362  else
363  y[element->index()] += x[i] * element->value();
364  }
365  }
366  }
368  //**********************************************************************************************
369 
370  //**Assignment to sparse vectors****************************************************************
382  template< typename VT2 > // Type of the target sparse vector
383  friend inline void assign( SparseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
384  {
386 
390 
391  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
392 
393  const ResultType tmp( serial( rhs ) );
394  assign( ~lhs, tmp );
395  }
396  //**********************************************************************************************
397 
398  //**Addition assignment to dense vectors********************************************************
410  template< typename VT2 > // Type of the target dense vector
411  friend inline void addAssign( DenseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
412  {
414 
415  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
416 
418 
419  if( rhs.mat_.rows() == 0UL ) {
420  return;
421  }
422 
423  LT x( serial( rhs.vec_ ) ); // Evaluation of the left-hand side dense vector operator
424  RT A( serial( rhs.mat_ ) ); // Evaluation of the right-hand side sparse matrix operator
425 
426  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
427  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
428  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
429  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
430 
431  TDVecSMatMultExpr::selectAddAssignKernel( ~lhs, x, A );
432  }
433  //**********************************************************************************************
434 
435  //**Optimized addition assignment to dense vectors*************************************************
449  template< typename VT1 // Type of the left-hand side target vector
450  , typename VT2 // Type of the left-hand side vector operand
451  , typename MT1 > // Type of the right-hand side matrix operand
452  static inline void selectAddAssignKernel( VT1& y, const VT2& x, const MT1& A )
453  {
455 
456  for( size_t i=0UL; i<x.size(); ++i )
457  {
458  const ConstIterator end( A.end(i) );
459  ConstIterator element( A.begin(i) );
460 
461  for( ; element!=end; ++element ) {
462  y[element->index()] += x[i] * element->value();
463  }
464  }
465  }
467  //**********************************************************************************************
468 
469  //**Addition assignment to sparse vectors*******************************************************
470  // No special implementation for the addition assignment to sparse vectors.
471  //**********************************************************************************************
472 
473  //**Subtraction assignment to dense vectors*****************************************************
485  template< typename VT2 > // Type of the target dense vector
486  friend inline void subAssign( DenseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
487  {
489 
490  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
491 
493 
494  if( rhs.mat_.rows() == 0UL ) {
495  return;
496  }
497 
498  LT x( serial( rhs.vec_ ) ); // Evaluation of the left-hand side dense vector operator
499  RT A( serial( rhs.mat_ ) ); // Evaluation of the right-hand side sparse matrix operator
500 
501  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
502  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
503  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
504  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
505 
506  TDVecSMatMultExpr::selectSubAssignKernel( ~lhs, x, A );
507  }
508  //**********************************************************************************************
509 
510  //**Optimized subtraction assignment to dense vectors**********************************************
524  template< typename VT1 // Type of the left-hand side target vector
525  , typename VT2 // Type of the left-hand side vector operand
526  , typename MT1 > // Type of the right-hand side matrix operand
527  static inline void selectSubAssignKernel( VT1& y, const VT2& x, const MT1& A )
528  {
530 
531  for( size_t i=0UL; i<x.size(); ++i )
532  {
533  const ConstIterator end( A.end(i) );
534  ConstIterator element( A.begin(i) );
535 
536  for( ; element!=end; ++element ) {
537  y[element->index()] -= x[i] * element->value();
538  }
539  }
540  }
542  //**********************************************************************************************
543 
544  //**Subtraction assignment to sparse vectors****************************************************
545  // No special implementation for the subtraction assignment to sparse vectors.
546  //**********************************************************************************************
547 
548  //**Multiplication assignment to dense vectors**************************************************
560  template< typename VT2 > // Type of the target dense vector
561  friend inline void multAssign( DenseVector<VT2,true>& lhs, const TDVecSMatMultExpr& rhs )
562  {
564 
568 
569  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
570 
571  const ResultType tmp( serial( rhs ) );
572  multAssign( ~lhs, tmp );
573  }
574  //**********************************************************************************************
575 
576  //**Multiplication assignment to sparse vectors*************************************************
577  // No special implementation for the multiplication assignment to sparse vectors.
578  //**********************************************************************************************
579 
580  //**SMP assignment to dense vectors*************************************************************
594  template< typename VT2 > // Type of the target dense vector
595  friend inline typename EnableIf< UseSMPAssign<VT2> >::Type
597  {
599 
600  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
601 
602  reset( ~lhs );
603 
604  if( rhs.mat_.rows() == 0UL ) return;
605 
606  LT x( rhs.vec_ ); // Evaluation of the left-hand side dense vector operator
607  RT A( rhs.mat_ ); // Evaluation of the right-hand side sparse matrix operator
608 
609  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
610  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
611  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
612  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
613 
614  smpAssign( ~lhs, x * A );
615  }
616  //**********************************************************************************************
617 
618  //**SMP assignment to sparse vectors************************************************************
632  template< typename VT2 > // Type of the target sparse vector
633  friend inline typename EnableIf< UseSMPAssign<VT2> >::Type
635  {
637 
641 
642  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
643 
644  const ResultType tmp( rhs );
645  smpAssign( ~lhs, tmp );
646  }
647  //**********************************************************************************************
648 
649  //**SMP addition assignment to dense vectors****************************************************
663  template< typename VT2 > // Type of the target dense vector
664  friend inline typename EnableIf< UseSMPAssign<VT2> >::Type
666  {
668 
669  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
670 
672 
673  if( rhs.mat_.rows() == 0UL ) {
674  return;
675  }
676 
677  LT x( rhs.vec_ ); // Evaluation of the left-hand side dense vector operator
678  RT A( rhs.mat_ ); // Evaluation of the right-hand side sparse matrix operator
679 
680  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
681  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
682  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
683  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
684 
685  smpAddAssign( ~lhs, x * A );
686  }
687  //**********************************************************************************************
688 
689  //**SMP addition assignment to sparse vectors***************************************************
690  // No special implementation for the SMP addition assignment to sparse vectors.
691  //**********************************************************************************************
692 
693  //**SMP subtraction assignment to dense vectors*************************************************
707  template< typename VT2 > // Type of the target dense vector
708  friend inline typename EnableIf< UseSMPAssign<VT2> >::Type
710  {
712 
713  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
714 
716 
717  if( rhs.mat_.rows() == 0UL ) {
718  return;
719  }
720 
721  LT x( rhs.vec_ ); // Evaluation of the left-hand side dense vector operator
722  RT A( rhs.mat_ ); // Evaluation of the right-hand side sparse matrix operator
723 
724  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
725  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
726  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
727  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
728 
729  smpSubAssign( ~lhs, x * A );
730  }
731  //**********************************************************************************************
732 
733  //**SMP subtraction assignment to sparse vectors************************************************
734  // No special implementation for the SMP subtraction assignment to sparse vectors.
735  //**********************************************************************************************
736 
737  //**SMP multiplication assignment to dense vectors**********************************************
751  template< typename VT2 > // Type of the target dense vector
752  friend inline typename EnableIf< UseSMPAssign<VT2> >::Type
754  {
756 
760 
761  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
762 
763  const ResultType tmp( rhs );
764  smpMultAssign( ~lhs, tmp );
765  }
766  //**********************************************************************************************
767 
768  //**SMP multiplication assignment to sparse vectors*********************************************
769  // No special implementation for the SMP multiplication assignment to sparse vectors.
770  //**********************************************************************************************
771 
772  //**Compile time checks*************************************************************************
781  //**********************************************************************************************
782 };
783 //*************************************************************************************************
784 
785 
786 
787 
788 //=================================================================================================
789 //
790 // GLOBAL BINARY ARITHMETIC OPERATORS
791 //
792 //=================================================================================================
793 
794 //*************************************************************************************************
825 template< typename T1 // Type of the left-hand side dense vector
826  , typename T2 > // Type of the right-hand side sparse matrix
827 inline const typename DisableIf< Or< IsSymmetric<T2>, IsMatMatMultExpr<T2> >
828  , TDVecSMatMultExpr<T1,T2> >::Type
830 {
832 
833  if( (~vec).size() != (~mat).rows() ) {
834  BLAZE_THROW_INVALID_ARGUMENT( "Vector and matrix sizes do not match" );
835  }
836 
837  return TDVecSMatMultExpr<T1,T2>( ~vec, ~mat );
838 }
839 //*************************************************************************************************
840 
841 
842 
843 
844 //=================================================================================================
845 //
846 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
847 //
848 //=================================================================================================
849 
850 //*************************************************************************************************
865 template< typename T1 // Type of the left-hand side dense vector
866  , typename T2 > // Type of the right-hand side sparse matrix
867 inline const typename EnableIf< IsSymmetric<T2>, typename MultExprTrait<T1,T2>::Type >::Type
868  operator*( const DenseVector<T1,true>& vec, const SparseMatrix<T2,false>& mat )
869 {
871 
873 
874  if( (~vec).size() != (~mat).rows() ) {
875  BLAZE_THROW_INVALID_ARGUMENT( "Vector and matrix sizes do not match" );
876  }
877 
878  return (~vec) * trans( ~mat );
879 }
881 //*************************************************************************************************
882 
883 
884 //*************************************************************************************************
897 template< typename T1 // Type of the left-hand side dense vector
898  , typename T2 // Type of the right-hand side sparse matrix
899  , bool SO > // Storage order of the right-hand side sparse matrix
900 inline const typename EnableIf< IsMatMatMultExpr<T2>, typename MultExprTrait<T1,T2>::Type >::Type
902 {
904 
906 
907  return ( vec * (~mat).leftOperand() ) * (~mat).rightOperand();
908 }
909 //*************************************************************************************************
910 
911 
912 
913 
914 //=================================================================================================
915 //
916 // SIZE SPECIALIZATIONS
917 //
918 //=================================================================================================
919 
920 //*************************************************************************************************
922 template< typename VT, typename MT >
923 struct Size< TDVecSMatMultExpr<VT,MT> > : public Columns<MT>
924 {};
926 //*************************************************************************************************
927 
928 
929 
930 
931 //=================================================================================================
932 //
933 // ISALIGNED SPECIALIZATIONS
934 //
935 //=================================================================================================
936 
937 //*************************************************************************************************
939 template< typename VT, typename MT >
940 struct IsAligned< TDVecSMatMultExpr<VT,MT> > : public IsTrue< IsAligned<VT>::value >
941 {};
943 //*************************************************************************************************
944 
945 
946 
947 
948 //=================================================================================================
949 //
950 // EXPRESSION TRAIT SPECIALIZATIONS
951 //
952 //=================================================================================================
953 
954 //*************************************************************************************************
956 template< typename VT, typename MT, bool AF >
957 struct SubvectorExprTrait< TDVecSMatMultExpr<VT,MT>, AF >
958 {
959  public:
960  //**********************************************************************************************
961  typedef typename MultExprTrait< typename SubvectorExprTrait<const VT,AF>::Type
962  , typename SubmatrixExprTrait<const MT,AF>::Type >::Type Type;
963  //**********************************************************************************************
964 };
966 //*************************************************************************************************
967 
968 } // namespace blaze
969 
970 #endif
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:89
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:7820
Header file for basic type definitions.
SelectType< IsExpression< VT >::value, const VT, const VT & >::Type LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:145
friend EnableIf< UseSMPAssign< VT2 > >::Type 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:753
Expression object for transpose dense vector-sparse matrix multiplications.The TDVecSMatMultExpr clas...
Definition: Forward.h:147
bool isAligned() const
Returns whether the operands of the expression are properly aligned in memory.
Definition: TDVecSMatMultExpr.h:276
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:250
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: TDVecSMatMultExpr.h:286
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:507
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:308
Header file for the DenseVector base class.
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:721
TDVecSMatMultExpr< VT, MT > This
Type of this TDVecSMatMultExpr instance.
Definition: TDVecSMatMultExpr.h:137
Header file for the Computation base class.
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
friend EnableIf< UseSMPAssign< VT2 > >::Type 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:634
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:383
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDVecSMatMultExpr.h:142
RightOperand mat_
Right-hand side sparse matrix of the multiplication expression.
Definition: TDVecSMatMultExpr.h:294
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:117
LeftOperand vec_
Left-hand side dense vector of the multiplication expression.
Definition: TDVecSMatMultExpr.h:293
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:547
Constraint on the data type.
MultTrait< VRT, MRT >::Type ResultType
Result type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:138
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:90
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TDVecSMatMultExpr.h:183
LeftOperand leftOperand() const
Returns the left-hand side dense vector operand.
Definition: TDVecSMatMultExpr.h:232
size_t size() const
Returns the current size/dimension of the vector.
Definition: TDVecSMatMultExpr.h:222
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
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:486
Header file for the multiplication trait.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:139
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TDVecSMatMultExpr.h:266
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TDVecSMatMultExpr.h:209
SelectType< evaluateMatrix, const MRT, MCT >::Type RT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:154
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:561
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
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 exceptionThis macro encapsulates the default way of Bla...
Definition: Exception.h:331
Header file for the Columns type trait.
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: TDVecSMatMultExpr.h:242
Header file for the IsAligned type trait.
friend EnableIf< UseSMPAssign< VT2 > >::Type 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:665
#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:126
#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:78
Constraint on the data type.
Header file for the SelectType class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
SelectType< IsExpression< MT >::value, const MT, const MT & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:148
Header file for the serial shim.
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
#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:116
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:79
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
Header file for run time assertion macros.
MT::CompositeType MCT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:109
Base template for the MultTrait class.
Definition: MultTrait.h:138
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
Header file for the reset shim.
Constraint on the data type.
ResultType::ElementType ElementType
Resulting element type.
Definition: TDVecSMatMultExpr.h:140
Header file for the isDefault shim.
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:411
VT::ResultType VRT
Result type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:106
SelectType< evaluateVector, const VRT, VCT >::Type LT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:151
Header file for the RemoveReference type trait.
friend EnableIf< UseSMPAssign< VT2 > >::Type 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:596
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:141
TDVecSMatMultExpr(const VT &vec, const MT &mat)
Constructor for the TDVecSMatMultExpr class.
Definition: TDVecSMatMultExpr.h:169
friend EnableIf< UseSMPAssign< VT2 > >::Type 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:709
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:310
#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:79
#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:166
VT::CompositeType VCT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:108
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TDVecSMatMultExpr.h:254
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:944
Header file for the IsComputation type trait class.
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:118
#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
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2583
#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:79
Header file for the SubvectorExprTrait class template.
Header file for exception macros.
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.
#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:79
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
MT::ResultType MRT
Result type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:107