Blaze  3.6
TSMatSVecMultExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSVECMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSVECMULTEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
53 #include <blaze/math/Exception.h>
59 #include <blaze/math/shims/Reset.h>
73 #include <blaze/math/views/Check.h>
75 #include <blaze/util/Assert.h>
76 #include <blaze/util/DisableIf.h>
77 #include <blaze/util/EnableIf.h>
79 #include <blaze/util/MaybeUnused.h>
80 #include <blaze/util/mpl/If.h>
81 #include <blaze/util/Types.h>
82 
83 
84 namespace blaze {
85 
86 //=================================================================================================
87 //
88 // CLASS SMATDVECMULTEXPR
89 //
90 //=================================================================================================
91 
92 //*************************************************************************************************
99 template< typename MT // Type of the left-hand side sparse matrix
100  , typename VT > // Type of the right-hand side sparse vector
101 class TSMatSVecMultExpr
102  : public MatVecMultExpr< SparseVector< TSMatSVecMultExpr<MT,VT>, false > >
103  , private Computation
104 {
105  private:
106  //**Type definitions****************************************************************************
111  //**********************************************************************************************
112 
113  //**********************************************************************************************
115  static constexpr bool evaluateMatrix = RequiresEvaluation_v<MT>;
116  //**********************************************************************************************
117 
118  //**********************************************************************************************
120  static constexpr bool evaluateVector = ( RequiresEvaluation_v<VT> || IsComputation_v<VT> );
121  //**********************************************************************************************
122 
123  //**********************************************************************************************
125 
129  template< typename T1 >
130  static constexpr bool UseSMPAssign_v = ( evaluateMatrix || evaluateVector );
132  //**********************************************************************************************
133 
134  public:
135  //**Type definitions****************************************************************************
141  using ReturnType = const ElementType;
142 
144  using CompositeType = const ResultType;
145 
147  using LeftOperand = If_t< IsExpression_v<MT>, const MT, const MT& >;
148 
150  using RightOperand = If_t< IsExpression_v<VT>, const VT, const VT& >;
151 
154 
157  //**********************************************************************************************
158 
159  //**Compilation flags***************************************************************************
161  static constexpr bool smpAssignable =
162  ( !evaluateMatrix && MT::smpAssignable && !evaluateVector && VT::smpAssignable );
163  //**********************************************************************************************
164 
165  //**Constructor*********************************************************************************
171  explicit inline TSMatSVecMultExpr( const MT& mat, const VT& vec ) noexcept
172  : mat_( mat ) // Left-hand side sparse matrix of the multiplication expression
173  , vec_( vec ) // Right-hand side sparse vector of the multiplication expression
174  {
175  BLAZE_INTERNAL_ASSERT( mat_.columns() == vec_.size(), "Invalid matrix and vector sizes" );
176  }
177  //**********************************************************************************************
178 
179  //**Subscript operator**************************************************************************
185  inline ReturnType operator[]( size_t index ) const {
186  BLAZE_INTERNAL_ASSERT( index < mat_.rows(), "Invalid vector access index" );
187 
188  if( IsDiagonal_v<MT> )
189  {
190  return mat_(index,index) * vec_[index];
191  }
192  else if( IsLower_v<MT> )
193  {
194  const size_t n( IsStrictlyLower_v<MT> ? index : index+1UL );
195  return subvector( row( mat_, index, unchecked ), 0UL, n, unchecked ) *
196  subvector( vec_, 0UL, n, unchecked );
197  }
198  else if( IsUpper_v<MT> )
199  {
200  const size_t begin( IsStrictlyUpper_v<MT> ? index+1UL : index );
201  const size_t n ( mat_.columns() - begin );
202  return subvector( row( mat_, index, unchecked ), begin, n, unchecked ) *
203  subvector( vec_, begin, n, unchecked );
204  }
205  else
206  {
207  return row( mat_, index, unchecked ) * vec_;
208  }
209  }
210  //**********************************************************************************************
211 
212  //**At function*********************************************************************************
219  inline ReturnType at( size_t index ) const {
220  if( index >= mat_.rows() ) {
221  BLAZE_THROW_OUT_OF_RANGE( "Invalid vector access index" );
222  }
223  return (*this)[index];
224  }
225  //**********************************************************************************************
226 
227  //**Size function*******************************************************************************
232  inline size_t size() const noexcept {
233  return mat_.rows();
234  }
235  //**********************************************************************************************
236 
237  //**NonZeros function***************************************************************************
242  inline size_t nonZeros() const {
243  return mat_.rows();
244  }
245  //**********************************************************************************************
246 
247  //**Left operand access*************************************************************************
252  inline LeftOperand leftOperand() const noexcept {
253  return mat_;
254  }
255  //**********************************************************************************************
256 
257  //**Right operand function**********************************************************************
262  inline RightOperand rightOperand() const noexcept {
263  return vec_;
264  }
265  //**********************************************************************************************
266 
267  //**********************************************************************************************
273  template< typename T >
274  inline bool canAlias( const T* alias ) const noexcept {
275  return ( mat_.isAliased( alias ) || vec_.isAliased( alias ) );
276  }
277  //**********************************************************************************************
278 
279  //**********************************************************************************************
285  template< typename T >
286  inline bool isAliased( const T* alias ) const noexcept {
287  return ( mat_.isAliased( alias ) || vec_.isAliased( alias ) );
288  }
289  //**********************************************************************************************
290 
291  //**********************************************************************************************
296  inline bool canSMPAssign() const noexcept {
297  return ( size() > SMP_SMATSVECMULT_THRESHOLD );
298  }
299  //**********************************************************************************************
300 
301  private:
302  //**Member variables****************************************************************************
305  //**********************************************************************************************
306 
307  //**Assignment to dense vectors*****************************************************************
320  template< typename VT1 > // Type of the target dense vector
321  friend inline void assign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
322  {
324 
325  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
326 
327  // Resetting the left-hand side target dense vector
328  reset( ~lhs );
329 
330  // Evaluation of the right-hand side sparse vector operand
331  RT x( serial( rhs.vec_ ) );
332  if( x.nonZeros() == 0UL ) return;
333 
334  // Evaluation of the left-hand side sparse matrix operand
335  LT A( serial( rhs.mat_ ) );
336 
337  // Checking the evaluated operators
338  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
339  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
340  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
341  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
342 
343  // Performing the transpose sparse matrix-sparse vector multiplication
344  TSMatSVecMultExpr::selectAssignKernel( ~lhs, A, x );
345  }
347  //**********************************************************************************************
348 
349  //**Default assignment to dense vectors*********************************************************
363  template< typename VT1 // Type of the left-hand side target vector
364  , typename MT1 // Type of the left-hand side matrix operand
365  , typename VT2 > // Type of the right-hand side vector operand
366  static inline void selectAssignKernel( VT1& y, const MT1& A, const VT2& x )
367  {
368  const auto vend ( x.end() );
369  auto velem( x.begin() );
370 
371  for( ; velem!=vend; ++velem )
372  {
373  const auto mend ( A.end ( velem->index() ) );
374  auto melem( A.begin( velem->index() ) );
375 
376  for( ; melem!=mend; ++melem ) {
378  isDefault( y[melem->index()] ) )
379  y[melem->index()] = melem->value() * velem->value();
380  else
381  y[melem->index()] += melem->value() * velem->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,false>& lhs, const TSMatSVecMultExpr& rhs )
402  {
404 
405  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
406 
407  const DynamicVector<ElementType_t<VT1>,false> 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,false>& lhs, const TSMatSVecMultExpr& rhs )
428  {
430 
431  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
432 
433  // Evaluation of the right-hand side sparse vector operand
434  RT x( serial( rhs.vec_ ) );
435  if( x.nonZeros() == 0UL ) return;
436 
437  // Evaluation of the left-hand side sparse matrix operand
438  LT A( serial( rhs.mat_ ) );
439 
440  // Checking the evaluated operators
441  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
442  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
443  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
444  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
445 
446  // Performing the transpose sparse matrix-sparse vector multiplication
447  TSMatSVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
448  }
450  //**********************************************************************************************
451 
452  //**Default addition assignment to dense vectors************************************************
466  template< typename VT1 // Type of the left-hand side target vector
467  , typename MT1 // Type of the left-hand side matrix operand
468  , typename VT2 > // Type of the right-hand side vector operand
469  static inline void selectAddAssignKernel( VT1& y, const MT1& A, const VT2& x )
470  {
471  const auto vend ( x.end() );
472  auto velem( x.begin() );
473 
474  for( ; velem!=vend; ++velem )
475  {
476  const auto mend ( A.end ( velem->index() ) );
477  auto melem( A.begin( velem->index() ) );
478 
479  for( ; melem!=mend; ++melem ) {
480  y[melem->index()] += melem->value() * velem->value();
481  }
482  }
483  }
485  //**********************************************************************************************
486 
487  //**Addition assignment to sparse vectors*******************************************************
488  // No special implementation for the addition assignment to sparse vectors.
489  //**********************************************************************************************
490 
491  //**Subtraction assignment to dense vectors*****************************************************
504  template< typename VT1 > // Type of the target dense vector
505  friend inline void subAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
506  {
508 
509  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
510 
511  // Evaluation of the right-hand side sparse vector operand
512  RT x( serial( rhs.vec_ ) );
513  if( x.nonZeros() == 0UL ) return;
514 
515  // Evaluation of the left-hand side sparse matrix operand
516  LT A( serial( rhs.mat_ ) );
517 
518  // Checking the evaluated operators
519  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
520  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
521  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
522  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
523 
524  // Performing the transpose sparse matrix-sparse vector multiplication
525  TSMatSVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
526  }
528  //**********************************************************************************************
529 
530  //**Default subtraction assignment to dense vectors*********************************************
544  template< typename VT1 // Type of the left-hand side target vector
545  , typename MT1 // Type of the left-hand side matrix operand
546  , typename VT2 > // Type of the right-hand side vector operand
547  static inline void selectSubAssignKernel( VT1& y, const MT1& A, const VT2& x )
548  {
549  const auto vend ( x.end() );
550  auto velem( x.begin() );
551 
552  for( ; velem!=vend; ++velem )
553  {
554  const auto mend ( A.end ( velem->index() ) );
555  auto melem( A.begin( velem->index() ) );
556 
557  for( ; melem!=mend; ++melem ) {
558  y[melem->index()] -= melem->value() * velem->value();
559  }
560  }
561  }
563  //**********************************************************************************************
564 
565  //**Subtraction assignment to sparse vectors****************************************************
566  // No special implementation for the subtraction assignment to sparse vectors.
567  //**********************************************************************************************
568 
569  //**Multiplication assignment to dense vectors**************************************************
582  template< typename VT1 > // Type of the target dense vector
583  friend inline void multAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
584  {
586 
590 
591  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
592 
593  const ResultType tmp( serial( rhs ) );
594  multAssign( ~lhs, tmp );
595  }
597  //**********************************************************************************************
598 
599  //**Multiplication assignment to sparse vectors*************************************************
600  // No special implementation for the multiplication assignment to sparse vectors.
601  //**********************************************************************************************
602 
603  //**SMP assignment to dense vectors*************************************************************
618  template< typename VT1 > // Type of the target dense vector
619  friend inline auto smpAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
620  -> EnableIf_t< UseSMPAssign_v<VT1> >
621  {
623 
624  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
625 
626  // Resetting the left-hand side target dense vector
627  reset( ~lhs );
628 
629  // Evaluation of the right-hand side sparse vector operand
630  RT x( rhs.vec_ );
631  if( x.nonZeros() == 0UL ) return;
632 
633  // Evaluation of the left-hand side sparse matrix operand
634  LT A( rhs.mat_ );
635 
636  // Checking the evaluated operators
637  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
638  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
639  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
640  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
641 
642  // Performing the transpose sparse matrix-sparse vector multiplication
643  smpAssign( ~lhs, A * x );
644  }
646  //**********************************************************************************************
647 
648  //**SMP assignment to sparse vectors************************************************************
649  // No special implementation for the SMP assignment to sparse vectors.
650  //**********************************************************************************************
651 
652  //**SMP addition assignment to dense vectors****************************************************
667  template< typename VT1 > // Type of the target dense vector
668  friend inline auto smpAddAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
669  -> EnableIf_t< UseSMPAssign_v<VT1> >
670  {
672 
673  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
674 
675  // Evaluation of the right-hand side sparse vector operand
676  RT x( rhs.vec_ );
677  if( x.nonZeros() == 0UL ) return;
678 
679  // Evaluation of the left-hand side sparse matrix operand
680  LT A( rhs.mat_ );
681 
682  // Checking the evaluated operators
683  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
684  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
685  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
686  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
687 
688  // Performing the transpose sparse matrix-sparse vector multiplication
689  smpAddAssign( ~lhs, A * x );
690  }
692  //**********************************************************************************************
693 
694  //**SMP addition assignment to sparse vectors***************************************************
695  // No special implementation for the SMP addition assignment to sparse vectors.
696  //**********************************************************************************************
697 
698  //**SMP subtraction assignment to dense vectors*************************************************
713  template< typename VT1 > // Type of the target dense vector
714  friend inline auto smpSubAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
715  -> EnableIf_t< UseSMPAssign_v<VT1> >
716  {
718 
719  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
720 
721  // Evaluation of the right-hand side sparse vector operand
722  RT x( rhs.vec_ );
723  if( x.nonZeros() == 0UL ) return;
724 
725  // Evaluation of the left-hand side sparse matrix operand
726  LT A( rhs.mat_ );
727 
728  // Checking the evaluated operators
729  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
730  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
731  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
732  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
733 
734  // Performing the transpose sparse matrix-sparse vector multiplication
735  smpSubAssign( ~lhs, A * x );
736  }
738  //**********************************************************************************************
739 
740  //**SMP subtraction assignment to sparse vectors************************************************
741  // No special implementation for the SMP subtraction assignment to sparse vectors.
742  //**********************************************************************************************
743 
744  //**SMP multiplication assignment to dense vectors**********************************************
759  template< typename VT1 > // Type of the target dense vector
760  friend inline auto smpMultAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
761  -> EnableIf_t< UseSMPAssign_v<VT1> >
762  {
764 
768 
769  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
770 
771  const ResultType tmp( rhs );
772  smpMultAssign( ~lhs, tmp );
773  }
775  //**********************************************************************************************
776 
777  //**SMP multiplication assignment to sparse vectors*********************************************
778  // No special implementation for the SMP multiplication assignment to sparse vectors.
779  //**********************************************************************************************
780 
781  //**Compile time checks*************************************************************************
791  //**********************************************************************************************
792 };
793 //*************************************************************************************************
794 
795 
796 
797 
798 //=================================================================================================
799 //
800 // GLOBAL BINARY ARITHMETIC OPERATORS
801 //
802 //=================================================================================================
803 
804 //*************************************************************************************************
817 template< typename MT // Type of the left-hand side sparse matrix
818  , typename VT // Type of the right-hand side sparse vector
819  , DisableIf_t< ( IsIdentity_v<MT> &&
820  IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) ||
821  ( IsZero_v<MT> || IsZero_v<VT> ) >* = nullptr >
822 inline const TSMatSVecMultExpr<MT,VT>
823  tsmatsvecmult( const SparseMatrix<MT,true>& mat, const SparseVector<VT,false>& vec )
824 {
826 
827  BLAZE_INTERNAL_ASSERT( (~mat).columns() == (~vec).size(), "Invalid matrix and vector sizes" );
828 
829  return TSMatSVecMultExpr<MT,VT>( ~mat, ~vec );
830 }
832 //*************************************************************************************************
833 
834 
835 //*************************************************************************************************
849 template< typename MT // Type of the left-hand side sparse matrix
850  , typename VT // Type of the right-hand side sparse vector
851  , EnableIf_t< ( IsIdentity_v<MT> &&
852  IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) &&
853  !IsZero_v<VT> >* = nullptr >
854 inline const VT&
855  tsmatsvecmult( const SparseMatrix<MT,true>& mat, const SparseVector<VT,false>& vec )
856 {
858 
859  MAYBE_UNUSED( mat );
860 
861  BLAZE_INTERNAL_ASSERT( (~mat).columns() == (~vec).size(), "Invalid matrix and vector sizes" );
862 
863  return (~vec);
864 }
866 //*************************************************************************************************
867 
868 
869 //*************************************************************************************************
882 template< typename MT // Type of the left-hand side sparse matrix
883  , typename VT // Type of the right-hand side sparse vector
884  , EnableIf_t< IsZero_v<MT> || IsZero_v<VT> >* = nullptr >
885 inline decltype(auto)
886  tsmatsvecmult( const SparseMatrix<MT,true>& mat, const SparseVector<VT,false>& vec )
887 {
889 
890  MAYBE_UNUSED( vec );
891 
892  BLAZE_INTERNAL_ASSERT( (~mat).columns() == (~vec).size(), "Invalid matrix and vector sizes" );
893 
894  using ReturnType = const MultTrait_t< ResultType_t<MT>, ResultType_t<VT> >;
895 
898 
899  return ReturnType( (~mat).rows() );
900 }
902 //*************************************************************************************************
903 
904 
905 //*************************************************************************************************
936 template< typename MT // Type of the left-hand side sparse matrix
937  , typename VT > // Type of the right-hand side sparse vector
938 inline decltype(auto)
939  operator*( const SparseMatrix<MT,true>& mat, const SparseVector<VT,false>& vec )
940 {
942 
944 
945  if( (~mat).columns() != (~vec).size() ) {
946  BLAZE_THROW_INVALID_ARGUMENT( "Matrix and vector sizes do not match" );
947  }
948 
949  return tsmatsvecmult( ~mat, ~vec );
950 }
951 //*************************************************************************************************
952 
953 } // namespace blaze
954 
955 #endif
CompositeType_t< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:110
#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.
Header file for the blaze::checked and blaze::unchecked instances.
Header file for basic type definitions.
Header file for the SparseVector base class.
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias template for the If class template.The If_t alias template provides a convenient shor...
Definition: If.h:109
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a column dense or sparse vector type...
Definition: ColumnVector.h:61
Header file for the serial shim.
Header file for the IsDiagonal type trait.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSVecMultExpr.h:252
MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:372
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: TSMatSVecMultExpr.h:242
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:595
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSMatSVecMultExpr.h:232
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
Constraint on the data type.
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:154
Header file for the MAYBE_UNUSED function template.
Header file for the IsIdentity type trait.
Header file for the Computation base class.
Header file for the reset shim.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatSVecMultExpr.h:161
Header file for the RequiresEvaluation type trait.
Header file for the implementation of an arbitrarily sized vector.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:141
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes....
Definition: Forward.h:145
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
Constraint on the transpose flag of vector types.
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSMatSVecMultExpr.h:219
Constraint on the data type.
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
constexpr bool IsResizable_v
Auxiliary variable template for the IsResizable type trait.The IsResizable_v variable template provid...
Definition: IsResizable.h:133
Header file for the DisableIf class template.
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
MultTrait_t< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:138
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Expression object for sparse matrix-sparse vector multiplications.The TSMatSVecMultExpr class represe...
Definition: Forward.h:187
Header file for the If class template.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is not a zero vector or matrix type,...
Definition: Zero.h:61
#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
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: TSMatSVecMultExpr.h:304
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatSVecMultExpr.h:296
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.
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
#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
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatSVecMultExpr.h:140
#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:83
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATVECMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/vector ...
Definition: MatVecMultExpr.h:104
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: TSMatSVecMultExpr.h:262
Header file for the exception macros of the math module.
Constraint on the data type.
Constraint on the data type.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSVecMultExpr.h:286
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSVecMultExpr.h:144
typename MultTrait< T1, T2 >::Type MultTrait_t
Auxiliary alias declaration for the MultTrait class template.The MultTrait_t alias declaration provid...
Definition: MultTrait.h:240
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSVecMultExpr.h:274
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSMatSVecMultExpr.h:185
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:139
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatSVecMultExpr.h:303
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
If_t< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side sparse vector operand.
Definition: TSMatSVecMultExpr.h:156
TSMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the TSMatSVecMultExpr class.
Definition: TSMatSVecMultExpr.h:171
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:115
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:133
Header file for the IsZero type trait.
#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
ResultType_t< MT > MRT
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:107
Header file for all forward declarations for expression class templates.
If_t< IsExpression_v< MT >, const MT, const MT & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:147
Header file for the isDefault shim.
constexpr size_t size(const Matrix< MT, SO > &matrix) noexcept
Returns the total number of elements of the matrix.
Definition: Matrix.h:530
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
If_t< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatSVecMultExpr.h:153
#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
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
static constexpr bool evaluateVector
Compilation switch for the composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:120
If_t< IsExpression_v< VT >, const VT, const VT & > RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:150
Header file for the IsComputation type trait class.
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:146
Constraint on the data type.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:635
ResultType_t< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:108
Header file for the IsUpper type trait.
typename DisableIf< Condition, T >::Type DisableIf_t
Auxiliary type for the DisableIf class template.The DisableIf_t alias declaration provides a convenie...
Definition: DisableIf.h:138
Header file for the MatVecMultExpr base class.
Constraint on the data type.
CompositeType_t< MT > MCT
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:109
Header file for the IsResizable type trait.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is a zero vector or matrix type,...
Definition: Zero.h:81
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,...
Definition: Assert.h:101
auto smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP multiplication assignment of a vector to a dense vector.
Definition: DenseVector.h:191
#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
Header file for the IsExpression type trait class.
Header file for the function trace functionality.