TSVecSMatMultExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSVECSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSVECSMATMULTEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
52 #include <blaze/math/Exception.h>
58 #include <blaze/math/shims/Reset.h>
71 #include <blaze/math/views/Check.h>
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #include <blaze/util/EnableIf.h>
77 #include <blaze/util/mpl/If.h>
78 #include <blaze/util/Types.h>
80 
81 
82 namespace blaze {
83 
84 //=================================================================================================
85 //
86 // CLASS TSVECSMATMULTEXPR
87 //
88 //=================================================================================================
89 
90 //*************************************************************************************************
97 template< typename VT // Type of the left-hand side sparse vector
98  , typename MT > // Type of the right-hand side sparse matrix
99 class TSVecSMatMultExpr
100  : public TVecMatMultExpr< SparseVector< TSVecSMatMultExpr<VT,MT>, true > >
101  , private Computation
102 {
103  private:
104  //**Type definitions****************************************************************************
109  //**********************************************************************************************
110 
111  //**********************************************************************************************
113  enum : bool { evaluateVector = IsComputation<VT>::value };
114  //**********************************************************************************************
115 
116  //**********************************************************************************************
118  enum : bool { evaluateMatrix = RequiresEvaluation<MT>::value };
119  //**********************************************************************************************
120 
121  //**********************************************************************************************
123 
127  template< typename T1 >
128  struct UseSMPAssign {
129  enum : bool { value = ( evaluateVector || evaluateMatrix ) };
130  };
132  //**********************************************************************************************
133 
134  public:
135  //**Type definitions****************************************************************************
140  using ReturnType = const ElementType;
141  using CompositeType = const ResultType;
142 
144  using LeftOperand = If_< IsExpression<VT>, const VT, const VT& >;
145 
147  using RightOperand = If_< IsExpression<MT>, const MT, const MT& >;
148 
151 
154  //**********************************************************************************************
155 
156  //**Compilation flags***************************************************************************
158  enum : bool { smpAssignable = !evaluateVector && VT::smpAssignable &&
159  !evaluateMatrix && MT::smpAssignable };
160  //**********************************************************************************************
161 
162  //**Constructor*********************************************************************************
168  explicit inline TSVecSMatMultExpr( const VT& vec, const MT& mat ) noexcept
169  : vec_( vec ) // Left-hand side sparse vector of the multiplication expression
170  , mat_( mat ) // Right-hand side sparse matrix of the multiplication expression
171  {
172  BLAZE_INTERNAL_ASSERT( vec_.size() == mat_.rows(), "Invalid vector and matrix sizes" );
173  }
174  //**********************************************************************************************
175 
176  //**Subscript operator**************************************************************************
182  inline ReturnType operator[]( size_t index ) const {
183  BLAZE_INTERNAL_ASSERT( index < mat_.columns(), "Invalid vector access index" );
184 
186  {
187  return vec_[index] * mat_(index,index);
188  }
189  else if( IsLower<MT>::value )
190  {
191  const size_t begin( IsStrictlyLower<MT>::value ? index+1UL : index );
192  const size_t n ( mat_.rows() - begin );
193  return subvector( vec_, begin, n, unchecked ) *
194  subvector( column( mat_, index, unchecked ), begin, n, unchecked );
195  }
196  else if( IsUpper<MT>::value )
197  {
198  const size_t n( IsStrictlyUpper<MT>::value ? index : index+1UL );
199  return subvector( vec_, 0UL, n, unchecked ) *
200  subvector( column( mat_, index, unchecked ), 0UL, n, unchecked );
201  }
202  else
203  {
204  return vec_ * column( mat_, index, unchecked );
205  }
206  }
207  //**********************************************************************************************
208 
209  //**At function*********************************************************************************
216  inline ReturnType at( size_t index ) const {
217  if( index >= mat_.columns() ) {
218  BLAZE_THROW_OUT_OF_RANGE( "Invalid vector access index" );
219  }
220  return (*this)[index];
221  }
222  //**********************************************************************************************
223 
224  //**Size function*******************************************************************************
229  inline size_t size() const noexcept {
230  return mat_.columns();
231  }
232  //**********************************************************************************************
233 
234  //**NonZeros function***************************************************************************
239  inline size_t nonZeros() const {
240  return mat_.columns();
241  }
242  //**********************************************************************************************
243 
244  //**Left operand access*************************************************************************
249  inline LeftOperand leftOperand() const noexcept {
250  return vec_;
251  }
252  //**********************************************************************************************
253 
254  //**Right operand access************************************************************************
259  inline RightOperand rightOperand() const noexcept {
260  return mat_;
261  }
262  //**********************************************************************************************
263 
264  //**********************************************************************************************
270  template< typename T >
271  inline bool canAlias( const T* alias ) const noexcept {
272  return ( vec_.isAliased( alias ) || mat_.isAliased( alias ) );
273  }
274  //**********************************************************************************************
275 
276  //**********************************************************************************************
282  template< typename T >
283  inline bool isAliased( const T* alias ) const noexcept {
284  return ( vec_.isAliased( alias ) || mat_.isAliased( alias ) );
285  }
286  //**********************************************************************************************
287 
288  //**********************************************************************************************
293  inline bool canSMPAssign() const noexcept {
294  return ( size() > SMP_TSVECSMATMULT_THRESHOLD );
295  }
296  //**********************************************************************************************
297 
298  private:
299  //**Member variables****************************************************************************
302  //**********************************************************************************************
303 
304  //**Assignment to dense vectors*****************************************************************
317  template< typename VT1 > // Type of the target dense vector
318  friend inline void assign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
319  {
321 
322  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
323 
324  // Resetting the left-hand side target dense vector
325  reset( ~lhs );
326 
327  // Evaluation of the left-hand side sparse vector operand
328  LT x( serial( rhs.vec_ ) );
329  if( x.nonZeros() == 0UL ) return;
330 
331  // Evaluation of the right-hand side sparse matrix operand
332  RT A( serial( rhs.mat_ ) );
333 
334  // Checking the evaluated operands
335  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
336  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
337  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
338  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
339 
340  // Performing the sparse vector-sparse matrix multiplication
341  TSVecSMatMultExpr::selectAssignKernel( ~lhs, x, A );
342  }
344  //**********************************************************************************************
345 
346  //**Default assignment to dense vectors*********************************************************
360  template< typename VT1 // Type of the left-hand side target vector
361  , typename VT2 // Type of the left-hand side vector operand
362  , typename MT1 > // Type of the right-hand side matrix operand
363  static inline void selectAssignKernel( VT1& y, const VT2& x, const MT1& A )
364  {
365  using VectorIterator = ConstIterator_< RemoveReference_<VT2> >;
366  using MatrixIterator = ConstIterator_< RemoveReference_<MT1> >;
367 
368  const VectorIterator vend( x.end() );
369  VectorIterator velem( x.begin() );
370 
371  for( ; velem!=vend; ++velem )
372  {
373  const MatrixIterator mend( A.end( velem->index() ) );
374  MatrixIterator melem( A.begin( velem->index() ) );
375 
376  for( ; melem!=mend; ++melem ) {
377  if( IsResizable< ElementType_<VT1> >::value &&
378  isDefault( y[melem->index()] ) )
379  y[melem->index()] = velem->value() * melem->value();
380  else
381  y[melem->index()] += velem->value() * melem->value();
382  }
383  }
384  }
386  //**********************************************************************************************
387 
388  //**Assignment to sparse vectors****************************************************************
400  template< typename VT1 > // Type of the target sparse vector
401  friend inline void assign( SparseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
402  {
404 
405  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
406 
407  const DynamicVector<ElementType_<VT1>,true> tmp( serial( rhs ) );
408  assign( ~lhs, tmp );
409  }
411  //**********************************************************************************************
412 
413  //**Addition assignment to dense vectors********************************************************
426  template< typename VT1 > // Type of the target dense vector
427  friend inline void addAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
428  {
430 
431  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
432 
433  // Evaluation of the left-hand side sparse vector operand
434  LT x( serial( rhs.vec_ ) );
435  if( x.nonZeros() == 0UL ) return;
436 
437  // Evaluation of the right-hand side sparse matrix operand
438  RT A( serial( rhs.mat_ ) );
439 
440  // Checking the evaluated operands
441  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
442  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
443  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
444  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
445 
446  // Performing the sparse vector-sparse matrix multiplication
447  TSVecSMatMultExpr::selectAddAssignKernel( ~lhs, x, A );
448  }
450  //**********************************************************************************************
451 
452  //**Default addition assignment to dense vectors************************************************
466  template< typename VT1 // Type of the left-hand side target vector
467  , typename VT2 // Type of the left-hand side vector operand
468  , typename MT1 > // Type of the right-hand side matrix operand
469  static inline void selectAddAssignKernel( VT1& y, const VT2& x, const MT1& A )
470  {
471  using VectorIterator = ConstIterator_< RemoveReference_<VT2> >;
472  using MatrixIterator = ConstIterator_< RemoveReference_<MT1> >;
473 
474  const VectorIterator vend( x.end() );
475  VectorIterator velem( x.begin() );
476 
477  for( ; velem!=vend; ++velem )
478  {
479  const MatrixIterator mend( A.end( velem->index() ) );
480  MatrixIterator melem( A.begin( velem->index() ) );
481 
482  for( ; melem!=mend; ++melem ) {
483  y[melem->index()] += velem->value() * melem->value();
484  }
485  }
486  }
488  //**********************************************************************************************
489 
490  //**Addition assignment to sparse vectors*******************************************************
491  // No special implementation for the addition assignment to sparse vectors.
492  //**********************************************************************************************
493 
494  //**Subtraction assignment to dense vectors*****************************************************
507  template< typename VT1 > // Type of the target dense vector
508  friend inline void subAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
509  {
511 
512  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
513 
514  // Evaluation of the left-hand side sparse vector operand
515  LT x( serial( rhs.vec_ ) );
516  if( x.nonZeros() == 0UL ) return;
517 
518  // Evaluation of the right-hand side sparse matrix operand
519  RT A( serial( rhs.mat_ ) );
520 
521  // Checking the evaluated operands
522  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
523  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
524  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
525  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
526 
527  // Performing the sparse vector-sparse matrix multiplication
528  TSVecSMatMultExpr::selectSubAssignKernel( ~lhs, x, A );
529  }
531  //**********************************************************************************************
532 
533  //**Default subtraction assignment to dense vectors*********************************************
547  template< typename VT1 // Type of the left-hand side target vector
548  , typename VT2 // Type of the left-hand side vector operand
549  , typename MT1 > // Type of the right-hand side matrix operand
550  static inline void selectSubAssignKernel( VT1& y, const VT2& x, const MT1& A )
551  {
552  using VectorIterator = ConstIterator_< RemoveReference_<VT2> >;
553  using MatrixIterator = ConstIterator_< RemoveReference_<MT1> >;
554 
555  const VectorIterator vend( x.end() );
556  VectorIterator velem( x.begin() );
557 
558  for( ; velem!=vend; ++velem )
559  {
560  const MatrixIterator mend( A.end( velem->index() ) );
561  MatrixIterator melem( A.begin( velem->index() ) );
562 
563  for( ; melem!=mend; ++melem ) {
564  y[melem->index()] -= velem->value() * melem->value();
565  }
566  }
567  }
569  //**********************************************************************************************
570 
571  //**Subtraction assignment to sparse vectors****************************************************
572  // No special implementation for the subtraction assignment to sparse vectors.
573  //**********************************************************************************************
574 
575  //**Multiplication assignment to dense vectors**************************************************
588  template< typename VT1 > // Type of the target dense vector
589  friend inline void multAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
590  {
592 
596 
597  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
598 
599  const ResultType tmp( serial( rhs ) );
600  multAssign( ~lhs, tmp );
601  }
603  //**********************************************************************************************
604 
605  //**Multiplication assignment to sparse vectors*************************************************
606  // No special implementation for the multiplication assignment to sparse vectors.
607  //**********************************************************************************************
608 
609  //**SMP assignment to dense vectors*************************************************************
624  template< typename VT1 > // Type of the target dense vector
625  friend inline EnableIf_< UseSMPAssign<VT1> >
627  {
629 
630  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
631 
632  // Resetting the left-hand side target dense vector
633  reset( ~lhs );
634 
635  // Evaluation of the left-hand side sparse vector operand
636  LT x( rhs.vec_ );
637  if( x.nonZeros() == 0UL ) return;
638 
639  // Evaluation of the right-hand side sparse matrix operand
640  RT A( rhs.mat_ );
641 
642  // Checking the evaluated operands
643  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
644  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
645  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
646  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
647 
648  // Performing the sparse vector-sparse matrix multiplication
649  smpAssign( ~lhs, x * A );
650  }
652  //**********************************************************************************************
653 
654  //**SMP assignment to sparse vectors************************************************************
655  // No special implementation for the SMP assignment to sparse vectors.
656  //**********************************************************************************************
657 
658  //**SMP addition assignment to dense vectors****************************************************
673  template< typename VT1 > // Type of the target dense vector
674  friend inline EnableIf_< UseSMPAssign<VT1> >
676  {
678 
679  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
680 
681  // Evaluation of the left-hand side sparse vector operand
682  LT x( rhs.vec_ );
683  if( x.nonZeros() == 0UL ) return;
684 
685  // Evaluation of the right-hand side sparse matrix operand
686  RT A( rhs.mat_ );
687 
688  // Checking the evaluated operands
689  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
690  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
691  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
692  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
693 
694  // Performing the sparse vector-sparse matrix multiplication
695  smpAddAssign( ~lhs, x * A );
696  }
698  //**********************************************************************************************
699 
700  //**SMP addition assignment to sparse vectors***************************************************
701  // No special implementation for the SMP addition assignment to sparse vectors.
702  //**********************************************************************************************
703 
704  //**SMP subtraction assignment to dense vectors*************************************************
719  template< typename VT1 > // Type of the target dense vector
720  friend inline EnableIf_< UseSMPAssign<VT1> >
722  {
724 
725  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
726 
727  // Evaluation of the left-hand side sparse vector operand
728  LT x( rhs.vec_ );
729  if( x.nonZeros() == 0UL ) return;
730 
731  // Evaluation of the right-hand side sparse matrix operand
732  RT A( rhs.mat_ );
733 
734  // Checking the evaluated operands
735  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
736  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
737  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
738  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
739 
740  // Performing the sparse vector-sparse matrix multiplication
741  smpSubAssign( ~lhs, x * A );
742  }
744  //**********************************************************************************************
745 
746  //**SMP subtraction assignment to sparse vectors************************************************
747  // No special implementation for the SMP subtraction assignment to sparse vectors.
748  //**********************************************************************************************
749 
750  //**SMP multiplication assignment to dense vectors**********************************************
765  template< typename VT1 > // Type of the target dense vector
766  friend inline EnableIf_< UseSMPAssign<VT1> >
768  {
770 
774 
775  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
776 
777  const ResultType tmp( rhs );
778  smpMultAssign( ~lhs, tmp );
779  }
781  //**********************************************************************************************
782 
783  //**SMP multiplication assignment to sparse vectors*********************************************
784  // No special implementation for the SMP multiplication assignment to sparse vectors.
785  //**********************************************************************************************
786 
787  //**Compile time checks*************************************************************************
795  //**********************************************************************************************
796 };
797 //*************************************************************************************************
798 
799 
800 
801 
802 //=================================================================================================
803 //
804 // GLOBAL BINARY ARITHMETIC OPERATORS
805 //
806 //=================================================================================================
807 
808 //*************************************************************************************************
839 template< typename VT // Type of the left-hand side sparse vector
840  , typename MT > // Type of the right-hand side sparse matrix
841 inline decltype(auto)
842  operator*( const SparseVector<VT,true>& vec, const SparseMatrix<MT,false>& mat )
843 {
845 
847 
848  if( (~vec).size() != (~mat).rows() ) {
849  BLAZE_THROW_INVALID_ARGUMENT( "Vector and matrix sizes do not match" );
850  }
851 
852  using ReturnType = const TSVecSMatMultExpr<VT,MT>;
853  return ReturnType( ~vec, ~mat );
854 }
855 //*************************************************************************************************
856 
857 
858 
859 
860 //=================================================================================================
861 //
862 // SIZE SPECIALIZATIONS
863 //
864 //=================================================================================================
865 
866 //*************************************************************************************************
868 template< typename VT, typename MT >
869 struct Size< TSVecSMatMultExpr<VT,MT>, 0UL >
870  : public Size<MT,1UL>
871 {};
873 //*************************************************************************************************
874 
875 } // namespace blaze
876 
877 #endif
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:329
#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
Header file for auxiliary alias declarations.
decltype(auto) column(Matrix< MT, SO > &matrix, RCAs... args)
Creating a view on a specific column of the given matrix.
Definition: Column.h:131
Header file for the blaze::checked and blaze::unchecked instances.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:71
MultTrait_< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TSVecSMatMultExpr.h:137
Header file for basic type definitions.
Header file for the SparseVector base class.
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.
Header file for the IsDiagonal type trait.
IfTrue_< evaluateMatrix, const MRT, MCT > RT
Type for the assignment of the right-hand side sparse matrix operand.
Definition: TSVecSMatMultExpr.h:153
IfTrue_< evaluateVector, const VRT, VCT > LT
Type for the assignment of the left-hand side sparse vector operand.
Definition: TSVecSMatMultExpr.h:150
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:364
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSVecSMatMultExpr.h:140
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:588
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
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
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:87
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSVecSMatMultExpr.h:138
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:291
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: TSVecSMatMultExpr.h:249
Header file for the Computation base class.
CompositeType_< MT > MCT
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:108
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSVecSMatMultExpr.h:229
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
Constraints on the storage order of matrix types.
Efficient implementation of an arbitrary sized vector.The DynamicVector class template is the represe...
Definition: DynamicVector.h:185
RightOperand mat_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSVecSMatMultExpr.h:301
Header file for the RequiresEvaluation type trait.
If_< IsExpression< VT >, const VT, const VT &> LeftOperand
Composite type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:144
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSVecSMatMultExpr.h:182
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSVecSMatMultExpr.h:271
Header file for the implementation of an arbitrarily sized vector.
TSVecSMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TSVecSMatMultExpr class.
Definition: TSVecSMatMultExpr.h:168
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSVecSMatMultExpr.h:139
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:129
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.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:71
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Header file for the DisableIf class template.
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the If class template.
Expression object for sparse vector-sparse matrix multiplications.The TSVecSMatMultExpr class represe...
Definition: Forward.h:174
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
#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
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSVecSMatMultExpr.h:216
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: TSVecSMatMultExpr.h:239
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
Header file for the IsLower type trait.
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional vector type...
Definition: SparseVector.h:61
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:89
#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:87
Header file for the exception macros of the math module.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSVecSMatMultExpr.h:283
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Constraint on the data type.
If_< IsExpression< MT >, const MT, const MT &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:147
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
LeftOperand vec_
Left-hand side sparse vector of the multiplication expression.
Definition: TSVecSMatMultExpr.h:300
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_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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSVecSMatMultExpr.h:293
Header file for run time assertion macros.
CompositeType_< VT > VCT
Composite type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:107
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
ResultType_< MT > MRT
Result type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:106
Header file for the reset shim.
Constraint on the data type.
#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
Header file for the isDefault shim.
Header file for the TVecMatMultExpr base class.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:816
#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
ResultType_< VT > VRT
Result type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:105
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:224
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:490
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3080
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
#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:108
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSVecSMatMultExpr.h:259
Header file for the IsComputation type trait class.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSVecSMatMultExpr.h:141
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:130
#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
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:628
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
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:61
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.