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>
51 #include <blaze/math/Exception.h>
57 #include <blaze/math/shims/Reset.h>
69 #include <blaze/util/Assert.h>
71 #include <blaze/util/DisableIf.h>
72 #include <blaze/util/EnableIf.h>
74 #include <blaze/util/mpl/If.h>
75 #include <blaze/util/Types.h>
77 
78 
79 namespace blaze {
80 
81 //=================================================================================================
82 //
83 // CLASS TSVECSMATMULTEXPR
84 //
85 //=================================================================================================
86 
87 //*************************************************************************************************
94 template< typename VT // Type of the left-hand side sparse vector
95  , typename MT > // Type of the right-hand side sparse matrix
96 class TSVecSMatMultExpr : public SparseVector< TSVecSMatMultExpr<VT,MT>, true >
97  , private TVecMatMultExpr
98  , private Computation
99 {
100  private:
101  //**Type definitions****************************************************************************
106  //**********************************************************************************************
107 
108  //**********************************************************************************************
110  enum : bool { evaluateVector = IsComputation<VT>::value };
111  //**********************************************************************************************
112 
113  //**********************************************************************************************
115  enum : bool { evaluateMatrix = RequiresEvaluation<MT>::value };
116  //**********************************************************************************************
117 
118  //**********************************************************************************************
120 
124  template< typename T1 >
125  struct UseSMPAssign {
126  enum : bool { value = ( evaluateVector || evaluateMatrix ) };
127  };
129  //**********************************************************************************************
130 
131  public:
132  //**Type definitions****************************************************************************
137  typedef const ElementType ReturnType;
138  typedef const ResultType CompositeType;
139 
141  typedef If_< IsExpression<VT>, const VT, const VT& > LeftOperand;
142 
144  typedef If_< IsExpression<MT>, const MT, const MT& > RightOperand;
145 
148 
151  //**********************************************************************************************
152 
153  //**Compilation flags***************************************************************************
155  enum : bool { smpAssignable = !evaluateVector && VT::smpAssignable &&
156  !evaluateMatrix && MT::smpAssignable };
157  //**********************************************************************************************
158 
159  //**Constructor*********************************************************************************
165  explicit inline TSVecSMatMultExpr( const VT& vec, const MT& mat ) noexcept
166  : vec_( vec ) // Left-hand side sparse vector of the multiplication expression
167  , mat_( mat ) // Right-hand side sparse matrix of the multiplication expression
168  {
169  BLAZE_INTERNAL_ASSERT( vec_.size() == mat_.rows(), "Invalid vector and matrix sizes" );
170  }
171  //**********************************************************************************************
172 
173  //**Subscript operator**************************************************************************
179  inline ReturnType operator[]( size_t index ) const {
180  BLAZE_INTERNAL_ASSERT( index < mat_.columns(), "Invalid vector access index" );
181 
183  {
184  return vec_[index] * mat_(index,index);
185  }
186  else if( IsLower<MT>::value )
187  {
188  const size_t begin( IsStrictlyLower<MT>::value ? index+1UL : index );
189  const size_t n ( mat_.rows() - begin );
190  return subvector( vec_, begin, n ) * subvector( column( mat_, index ), begin, n );
191  }
192  else if( IsUpper<MT>::value )
193  {
194  const size_t n( IsStrictlyUpper<MT>::value ? index : index+1UL );
195  return subvector( vec_, 0UL, n ) * subvector( column( mat_, index ), 0UL, n );
196  }
197  else
198  {
199  return vec_ * column( mat_, index );
200  }
201  }
202  //**********************************************************************************************
203 
204  //**At function*********************************************************************************
211  inline ReturnType at( size_t index ) const {
212  if( index >= mat_.columns() ) {
213  BLAZE_THROW_OUT_OF_RANGE( "Invalid vector access index" );
214  }
215  return (*this)[index];
216  }
217  //**********************************************************************************************
218 
219  //**Size function*******************************************************************************
224  inline size_t size() const noexcept {
225  return mat_.columns();
226  }
227  //**********************************************************************************************
228 
229  //**NonZeros function***************************************************************************
234  inline size_t nonZeros() const {
235  return mat_.columns();
236  }
237  //**********************************************************************************************
238 
239  //**Left operand access*************************************************************************
244  inline LeftOperand leftOperand() const noexcept {
245  return vec_;
246  }
247  //**********************************************************************************************
248 
249  //**Right operand access************************************************************************
254  inline RightOperand rightOperand() const noexcept {
255  return mat_;
256  }
257  //**********************************************************************************************
258 
259  //**********************************************************************************************
265  template< typename T >
266  inline bool canAlias( const T* alias ) const noexcept {
267  return ( vec_.isAliased( alias ) || mat_.isAliased( alias ) );
268  }
269  //**********************************************************************************************
270 
271  //**********************************************************************************************
277  template< typename T >
278  inline bool isAliased( const T* alias ) const noexcept {
279  return ( vec_.isAliased( alias ) || mat_.isAliased( alias ) );
280  }
281  //**********************************************************************************************
282 
283  //**********************************************************************************************
288  inline bool canSMPAssign() const noexcept {
289  return ( size() > SMP_TSVECSMATMULT_THRESHOLD );
290  }
291  //**********************************************************************************************
292 
293  private:
294  //**Member variables****************************************************************************
295  LeftOperand vec_;
296  RightOperand mat_;
297  //**********************************************************************************************
298 
299  //**Assignment to dense vectors*****************************************************************
312  template< typename VT1 > // Type of the target dense vector
313  friend inline void assign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
314  {
316 
317  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
318 
319  // Resetting the left-hand side target dense vector
320  reset( ~lhs );
321 
322  // Evaluation of the left-hand side sparse vector operand
323  LT x( serial( rhs.vec_ ) );
324  if( x.nonZeros() == 0UL ) return;
325 
326  // Evaluation of the right-hand side sparse matrix operand
327  RT A( serial( rhs.mat_ ) );
328 
329  // Checking the evaluated operands
330  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
331  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
332  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
333  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
334 
335  // Performing the sparse vector-sparse matrix multiplication
336  TSVecSMatMultExpr::selectAssignKernel( ~lhs, x, A );
337  }
339  //**********************************************************************************************
340 
341  //**Default assignment to dense vectors*********************************************************
355  template< typename VT1 // Type of the left-hand side target vector
356  , typename VT2 // Type of the left-hand side vector operand
357  , typename MT1 > // Type of the right-hand side matrix operand
358  static inline void selectAssignKernel( VT1& y, const VT2& x, const MT1& A )
359  {
360  typedef ConstIterator_< RemoveReference_<VT2> > VectorIterator;
361  typedef ConstIterator_< RemoveReference_<MT1> > MatrixIterator;
362 
363  const VectorIterator vend( x.end() );
364  VectorIterator velem( x.begin() );
365 
366  for( ; velem!=vend; ++velem )
367  {
368  const MatrixIterator mend( A.end( velem->index() ) );
369  MatrixIterator melem( A.begin( velem->index() ) );
370 
371  for( ; melem!=mend; ++melem ) {
372  if( IsResizable< ElementType_<VT1> >::value &&
373  isDefault( y[melem->index()] ) )
374  y[melem->index()] = velem->value() * melem->value();
375  else
376  y[melem->index()] += velem->value() * melem->value();
377  }
378  }
379  }
381  //**********************************************************************************************
382 
383  //**Assignment to sparse vectors****************************************************************
395  template< typename VT1 > // Type of the target sparse vector
396  friend inline void assign( SparseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
397  {
399 
400  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
401 
402  const DynamicVector<ElementType_<VT1>,true> tmp( serial( rhs ) );
403  assign( ~lhs, tmp );
404  }
406  //**********************************************************************************************
407 
408  //**Addition assignment to dense vectors********************************************************
421  template< typename VT1 > // Type of the target dense vector
422  friend inline void addAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
423  {
425 
426  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
427 
428  // Evaluation of the left-hand side sparse vector operand
429  LT x( serial( rhs.vec_ ) );
430  if( x.nonZeros() == 0UL ) return;
431 
432  // Evaluation of the right-hand side sparse matrix operand
433  RT A( serial( rhs.mat_ ) );
434 
435  // Checking the evaluated operands
436  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
437  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
438  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
439  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
440 
441  // Performing the sparse vector-sparse matrix multiplication
442  TSVecSMatMultExpr::selectAddAssignKernel( ~lhs, x, A );
443  }
445  //**********************************************************************************************
446 
447  //**Default addition assignment to dense vectors************************************************
461  template< typename VT1 // Type of the left-hand side target vector
462  , typename VT2 // Type of the left-hand side vector operand
463  , typename MT1 > // Type of the right-hand side matrix operand
464  static inline void selectAddAssignKernel( VT1& y, const VT2& x, const MT1& A )
465  {
466  typedef ConstIterator_< RemoveReference_<VT2> > VectorIterator;
467  typedef ConstIterator_< RemoveReference_<MT1> > MatrixIterator;
468 
469  const VectorIterator vend( x.end() );
470  VectorIterator velem( x.begin() );
471 
472  for( ; velem!=vend; ++velem )
473  {
474  const MatrixIterator mend( A.end( velem->index() ) );
475  MatrixIterator melem( A.begin( velem->index() ) );
476 
477  for( ; melem!=mend; ++melem ) {
478  y[melem->index()] += velem->value() * melem->value();
479  }
480  }
481  }
483  //**********************************************************************************************
484 
485  //**Addition assignment to sparse vectors*******************************************************
486  // No special implementation for the addition assignment to sparse vectors.
487  //**********************************************************************************************
488 
489  //**Subtraction assignment to dense vectors*****************************************************
502  template< typename VT1 > // Type of the target dense vector
503  friend inline void subAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
504  {
506 
507  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
508 
509  // Evaluation of the left-hand side sparse vector operand
510  LT x( serial( rhs.vec_ ) );
511  if( x.nonZeros() == 0UL ) return;
512 
513  // Evaluation of the right-hand side sparse matrix operand
514  RT A( serial( rhs.mat_ ) );
515 
516  // Checking the evaluated operands
517  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
518  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
519  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
520  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
521 
522  // Performing the sparse vector-sparse matrix multiplication
523  TSVecSMatMultExpr::selectSubAssignKernel( ~lhs, x, A );
524  }
526  //**********************************************************************************************
527 
528  //**Default subtraction assignment to dense vectors*********************************************
542  template< typename VT1 // Type of the left-hand side target vector
543  , typename VT2 // Type of the left-hand side vector operand
544  , typename MT1 > // Type of the right-hand side matrix operand
545  static inline void selectSubAssignKernel( VT1& y, const VT2& x, const MT1& A )
546  {
547  typedef ConstIterator_< RemoveReference_<VT2> > VectorIterator;
548  typedef ConstIterator_< RemoveReference_<MT1> > MatrixIterator;
549 
550  const VectorIterator vend( x.end() );
551  VectorIterator velem( x.begin() );
552 
553  for( ; velem!=vend; ++velem )
554  {
555  const MatrixIterator mend( A.end( velem->index() ) );
556  MatrixIterator melem( A.begin( velem->index() ) );
557 
558  for( ; melem!=mend; ++melem ) {
559  y[melem->index()] -= velem->value() * melem->value();
560  }
561  }
562  }
564  //**********************************************************************************************
565 
566  //**Subtraction assignment to sparse vectors****************************************************
567  // No special implementation for the subtraction assignment to sparse vectors.
568  //**********************************************************************************************
569 
570  //**Multiplication assignment to dense vectors**************************************************
583  template< typename VT1 > // Type of the target dense vector
584  friend inline void multAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
585  {
587 
590  BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE( CompositeType_<ResultType> );
591 
592  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
593 
594  const ResultType tmp( serial( rhs ) );
595  multAssign( ~lhs, tmp );
596  }
598  //**********************************************************************************************
599 
600  //**Multiplication assignment to sparse vectors*************************************************
601  // No special implementation for the multiplication assignment to sparse vectors.
602  //**********************************************************************************************
603 
604  //**SMP assignment to dense vectors*************************************************************
619  template< typename VT1 > // Type of the target dense vector
620  friend inline EnableIf_< UseSMPAssign<VT1> >
621  smpAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
622  {
624 
625  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
626 
627  // Resetting the left-hand side target dense vector
628  reset( ~lhs );
629 
630  // Evaluation of the left-hand side sparse vector operand
631  LT x( rhs.vec_ );
632  if( x.nonZeros() == 0UL ) return;
633 
634  // Evaluation of the right-hand side sparse matrix operand
635  RT A( rhs.mat_ );
636 
637  // Checking the evaluated operands
638  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
639  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
640  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
641  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
642 
643  // Performing the sparse vector-sparse matrix multiplication
644  smpAssign( ~lhs, x * A );
645  }
647  //**********************************************************************************************
648 
649  //**SMP assignment to sparse vectors************************************************************
650  // No special implementation for the SMP assignment to sparse vectors.
651  //**********************************************************************************************
652 
653  //**SMP addition assignment to dense vectors****************************************************
668  template< typename VT1 > // Type of the target dense vector
669  friend inline EnableIf_< UseSMPAssign<VT1> >
670  smpAddAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
671  {
673 
674  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
675 
676  // Evaluation of the left-hand side sparse vector operand
677  LT x( rhs.vec_ );
678  if( x.nonZeros() == 0UL ) return;
679 
680  // Evaluation of the right-hand side sparse matrix operand
681  RT A( rhs.mat_ );
682 
683  // Checking the evaluated operands
684  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
685  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
686  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
687  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
688 
689  // Performing the sparse vector-sparse matrix multiplication
690  smpAddAssign( ~lhs, x * A );
691  }
693  //**********************************************************************************************
694 
695  //**SMP addition assignment to sparse vectors***************************************************
696  // No special implementation for the SMP addition assignment to sparse vectors.
697  //**********************************************************************************************
698 
699  //**SMP subtraction assignment to dense vectors*************************************************
714  template< typename VT1 > // Type of the target dense vector
715  friend inline EnableIf_< UseSMPAssign<VT1> >
716  smpSubAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
717  {
719 
720  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
721 
722  // Evaluation of the left-hand side sparse vector operand
723  LT x( rhs.vec_ );
724  if( x.nonZeros() == 0UL ) return;
725 
726  // Evaluation of the right-hand side sparse matrix operand
727  RT A( rhs.mat_ );
728 
729  // Checking the evaluated operands
730  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
731  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
732  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
733  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
734 
735  // Performing the sparse vector-sparse matrix multiplication
736  smpSubAssign( ~lhs, x * A );
737  }
739  //**********************************************************************************************
740 
741  //**SMP subtraction assignment to sparse vectors************************************************
742  // No special implementation for the SMP subtraction assignment to sparse vectors.
743  //**********************************************************************************************
744 
745  //**SMP multiplication assignment to dense vectors**********************************************
760  template< typename VT1 > // Type of the target dense vector
761  friend inline EnableIf_< UseSMPAssign<VT1> >
762  smpMultAssign( DenseVector<VT1,true>& lhs, const TSVecSMatMultExpr& rhs )
763  {
765 
768  BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE( CompositeType_<ResultType> );
769 
770  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
771 
772  const ResultType tmp( rhs );
773  smpMultAssign( ~lhs, tmp );
774  }
776  //**********************************************************************************************
777 
778  //**SMP multiplication assignment to sparse vectors*********************************************
779  // No special implementation for the SMP multiplication assignment to sparse vectors.
780  //**********************************************************************************************
781 
782  //**Compile time checks*************************************************************************
790  //**********************************************************************************************
791 };
792 //*************************************************************************************************
793 
794 
795 
796 
797 //=================================================================================================
798 //
799 // GLOBAL BINARY ARITHMETIC OPERATORS
800 //
801 //=================================================================================================
802 
803 //*************************************************************************************************
834 template< typename T1 // Type of the left-hand side sparse vector
835  , typename T2 > // Type of the right-hand side sparse matrix
836 inline const DisableIf_< IsMatMatMultExpr<T2>, TSVecSMatMultExpr<T1,T2> >
838 {
840 
841  if( (~vec).size() != (~mat).rows() ) {
842  BLAZE_THROW_INVALID_ARGUMENT( "Vector and matrix sizes do not match" );
843  }
844 
845  return TSVecSMatMultExpr<T1,T2>( ~vec, ~mat );
846 }
847 //*************************************************************************************************
848 
849 
850 
851 
852 //=================================================================================================
853 //
854 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
855 //
856 //=================================================================================================
857 
858 //*************************************************************************************************
871 template< typename T1 // Type of the left-hand side sparse vector
872  , typename T2 // Type of the right-hand side sparse matrix
873  , bool SO > // Storage order of the right-hand side sparse matrix
874 inline const EnableIf_< IsMatMatMultExpr<T2>, MultExprTrait_<T1,T2> >
876 {
878 
880 
881  return ( vec * (~mat).leftOperand() ) * (~mat).rightOperand();
882 }
883 //*************************************************************************************************
884 
885 
886 
887 
888 //=================================================================================================
889 //
890 // SIZE SPECIALIZATIONS
891 //
892 //=================================================================================================
893 
894 //*************************************************************************************************
896 template< typename VT, typename MT >
897 struct Size< TSVecSMatMultExpr<VT,MT> > : public Columns<MT>
898 {};
900 //*************************************************************************************************
901 
902 
903 
904 
905 //=================================================================================================
906 //
907 // EXPRESSION TRAIT SPECIALIZATIONS
908 //
909 //=================================================================================================
910 
911 //*************************************************************************************************
913 template< typename VT, typename MT, bool AF >
914 struct SubvectorExprTrait< TSVecSMatMultExpr<VT,MT>, AF >
915 {
916  public:
917  //**********************************************************************************************
918  using Type = MultExprTrait_< SubvectorExprTrait_<const VT,AF>
919  , SubmatrixExprTrait_<const MT,AF> >;
920  //**********************************************************************************************
921 };
923 //*************************************************************************************************
924 
925 } // namespace blaze
926 
927 #endif
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:72
MultTrait_< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TSVecSMatMultExpr.h:134
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: TSVecSMatMultExpr.h:234
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSVecSMatMultExpr.h:137
const DMatDMatMultExpr< T1, T2 > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:7800
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:160
Header file for the serial shim.
If_< IsExpression< VT >, const VT, const VT & > LeftOperand
Composite type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:141
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSVecSMatMultExpr.h:254
BLAZE_ALWAYS_INLINE MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:188
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSVecSMatMultExpr.h:224
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:533
TSVecSMatMultExpr< VT, MT > This
Type of this TSVecSMatMultExpr instance.
Definition: TSVecSMatMultExpr.h:133
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
IfTrue_< evaluateMatrix, const MRT, MCT > RT
Type for the assignment of the right-hand side sparse matrix operand.
Definition: TSVecSMatMultExpr.h:150
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:723
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:245
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Constraints on the storage order of matrix types.
RightOperand mat_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSVecSMatMultExpr.h:296
Header file for the RequiresEvaluation type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
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:129
Header file for the implementation of an arbitrarily sized vector.
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT > >, ColumnExprTrait_< MT > > column(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific column of the given matrix.
Definition: Column.h:126
TSVecSMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TSVecSMatMultExpr class.
Definition: TSVecSMatMultExpr.h:165
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSVecSMatMultExpr.h:278
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
CompositeType_< VT > VCT
Composite type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:104
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
Constraint on the data type.
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
Constraint on the data type.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSVecSMatMultExpr.h:288
Header file for the MultExprTrait class template.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:72
SubvectorExprTrait_< VT, unaligned > subvector(Vector< VT, TF > &vector, size_t index, size_t size)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:152
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Header file for the DisableIf class template.
Header file for the multiplication trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSVecSMatMultExpr.h:211
Expression object for sparse vector-sparse matrix multiplications.The TSVecSMatMultExpr class represe...
Definition: Forward.h:151
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:98
Header file for the IsMatMatMultExpr type trait class.
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the Columns type trait.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
#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:90
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:60
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Header file for all forward declarations for expression class templates.
Constraint on the data type.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSVecSMatMultExpr.h:138
Header file for the EnableIf class template.
LeftOperand vec_
Left-hand side sparse vector of the multiplication expression.
Definition: TSVecSMatMultExpr.h:295
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSVecSMatMultExpr.h:136
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:79
#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
IfTrue_< evaluateVector, const VRT, VCT > LT
Type for the assignment of the left-hand side sparse vector operand.
Definition: TSVecSMatMultExpr.h:147
Header file for run time assertion macros.
CompositeType_< MT > MCT
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:105
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: TSVecSMatMultExpr.h:244
Header file for the reset shim.
Constraint on the data type.
ResultType_< VT > VRT
Result type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:102
Header file for the isDefault shim.
Header file for the TVecMatMultExpr base class.
Constraint on the data type.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSVecSMatMultExpr.h:135
ResultType_< MT > MRT
Result type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:103
Header file for the RemoveReference type trait.
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:314
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:110
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:110
#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
If_< IsExpression< MT >, const MT, const MT & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:144
#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
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSVecSMatMultExpr.h:179
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsResizable type trait.
Header file for the Size type trait.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSVecSMatMultExpr.h:266
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 FunctionTrace class.