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>
50 #include <blaze/math/Exception.h>
56 #include <blaze/math/shims/Reset.h>
72 #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 SMATDVECMULTEXPR
87 //
88 //=================================================================================================
89 
90 //*************************************************************************************************
97 template< typename MT // Type of the left-hand side sparse matrix
98  , typename VT > // Type of the right-hand side sparse vector
99 class TSMatSVecMultExpr : public SparseVector< TSMatSVecMultExpr<MT,VT>, false >
100  , private MatVecMultExpr
101  , private Computation
102 {
103  private:
104  //**Type definitions****************************************************************************
109  //**********************************************************************************************
110 
111  //**********************************************************************************************
113  enum : bool { evaluateMatrix = RequiresEvaluation<MT>::value };
114  //**********************************************************************************************
115 
116  //**********************************************************************************************
118  enum : bool { evaluateVector = RequiresEvaluation<VT>::value || IsComputation<VT>::value };
119  //**********************************************************************************************
120 
121  //**********************************************************************************************
123 
127  template< typename T1 >
128  struct UseSMPAssign {
129  enum : bool { value = ( evaluateMatrix || evaluateVector ) };
130  };
132  //**********************************************************************************************
133 
134  public:
135  //**Type definitions****************************************************************************
140  typedef const ElementType ReturnType;
141 
143  typedef const ResultType CompositeType;
144 
146  typedef If_< IsExpression<MT>, const MT, const MT& > LeftOperand;
147 
149  typedef If_< IsExpression<VT>, const VT, const VT& > RightOperand;
150 
153 
156  //**********************************************************************************************
157 
158  //**Compilation flags***************************************************************************
160  enum : bool { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
161  !evaluateVector && VT::smpAssignable };
162  //**********************************************************************************************
163 
164  //**Constructor*********************************************************************************
170  explicit inline TSMatSVecMultExpr( const MT& mat, const VT& vec ) noexcept
171  : mat_( mat ) // Left-hand side sparse matrix of the multiplication expression
172  , vec_( vec ) // Right-hand side sparse vector of the multiplication expression
173  {
174  BLAZE_INTERNAL_ASSERT( mat_.columns() == vec_.size(), "Invalid matrix and vector sizes" );
175  }
176  //**********************************************************************************************
177 
178  //**Subscript operator**************************************************************************
184  inline ReturnType operator[]( size_t index ) const {
185  BLAZE_INTERNAL_ASSERT( index < mat_.rows(), "Invalid vector access index" );
186 
188  {
189  return mat_(index,index) * vec_[index];
190  }
191  else if( IsLower<MT>::value )
192  {
193  const size_t n( IsStrictlyLower<MT>::value ? index : index+1UL );
194  return subvector( row( mat_, index ), 0UL, n ) * subvector( vec_, 0UL, n );
195  }
196  else if( IsUpper<MT>::value )
197  {
198  const size_t begin( IsStrictlyUpper<MT>::value ? index+1UL : index );
199  const size_t n ( mat_.columns() - begin );
200  return subvector( row( mat_, index ), begin, n ) * subvector( vec_, begin, n );
201  }
202  else
203  {
204  return row( mat_, index ) * vec_;
205  }
206  }
207  //**********************************************************************************************
208 
209  //**At function*********************************************************************************
216  inline ReturnType at( size_t index ) const {
217  if( index >= mat_.rows() ) {
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_.rows();
231  }
232  //**********************************************************************************************
233 
234  //**NonZeros function***************************************************************************
239  inline size_t nonZeros() const {
240  return mat_.rows();
241  }
242  //**********************************************************************************************
243 
244  //**Left operand access*************************************************************************
249  inline LeftOperand leftOperand() const noexcept {
250  return mat_;
251  }
252  //**********************************************************************************************
253 
254  //**Right operand function**********************************************************************
259  inline RightOperand rightOperand() const noexcept {
260  return vec_;
261  }
262  //**********************************************************************************************
263 
264  //**********************************************************************************************
270  template< typename T >
271  inline bool canAlias( const T* alias ) const noexcept {
272  return ( mat_.isAliased( alias ) || vec_.isAliased( alias ) );
273  }
274  //**********************************************************************************************
275 
276  //**********************************************************************************************
282  template< typename T >
283  inline bool isAliased( const T* alias ) const noexcept {
284  return ( mat_.isAliased( alias ) || vec_.isAliased( alias ) );
285  }
286  //**********************************************************************************************
287 
288  //**********************************************************************************************
293  inline bool canSMPAssign() const noexcept {
294  return ( size() > SMP_SMATSVECMULT_THRESHOLD );
295  }
296  //**********************************************************************************************
297 
298  private:
299  //**Member variables****************************************************************************
300  LeftOperand mat_;
301  RightOperand vec_;
302  //**********************************************************************************************
303 
304  //**Assignment to dense vectors*****************************************************************
317  template< typename VT1 > // Type of the target dense vector
318  friend inline void assign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& 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 right-hand side sparse vector operand
328  RT x( serial( rhs.vec_ ) );
329  if( x.nonZeros() == 0UL ) return;
330 
331  // Evaluation of the left-hand side sparse matrix operand
332  LT A( serial( rhs.mat_ ) );
333 
334  // Checking the evaluated operators
335  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
336  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
337  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
338  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
339 
340  // Performing the transpose sparse matrix-sparse vector multiplication
341  TSMatSVecMultExpr::selectAssignKernel( ~lhs, A, x );
342  }
344  //**********************************************************************************************
345 
346  //**Default assignment to dense vectors*********************************************************
360  template< typename VT1 // Type of the left-hand side target vector
361  , typename MT1 // Type of the left-hand side matrix operand
362  , typename VT2 > // Type of the right-hand side vector operand
363  static inline void selectAssignKernel( VT1& y, const MT1& A, const VT2& x )
364  {
365  typedef ConstIterator_< RemoveReference_<MT1> > MatrixIterator;
366  typedef ConstIterator_< RemoveReference_<VT2> > VectorIterator;
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()] = 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_<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  typedef ConstIterator_< RemoveReference_<MT1> > MatrixIterator;
472  typedef ConstIterator_< RemoveReference_<VT2> > VectorIterator;
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()] += melem->value() * velem->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,false>& lhs, const TSMatSVecMultExpr& rhs )
509  {
511 
512  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
513 
514  // Evaluation of the right-hand side sparse vector operand
515  RT x( serial( rhs.vec_ ) );
516  if( x.nonZeros() == 0UL ) return;
517 
518  // Evaluation of the left-hand side sparse matrix operand
519  LT A( serial( rhs.mat_ ) );
520 
521  // Checking the evaluated operators
522  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
523  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
524  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
525  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
526 
527  // Performing the transpose sparse matrix-sparse vector multiplication
528  TSMatSVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
529  }
531  //**********************************************************************************************
532 
533  //**Default subtraction assignment to dense vectors*********************************************
547  template< typename VT1 // Type of the left-hand side target vector
548  , typename MT1 // Type of the left-hand side matrix operand
549  , typename VT2 > // Type of the right-hand side vector operand
550  static inline void selectSubAssignKernel( VT1& y, const MT1& A, const VT2& x )
551  {
552  typedef ConstIterator_< RemoveReference_<MT1> > MatrixIterator;
553  typedef ConstIterator_< RemoveReference_<VT2> > VectorIterator;
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()] -= melem->value() * velem->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,false>& lhs, const TSMatSVecMultExpr& rhs )
590  {
592 
595  BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE( CompositeType_<ResultType> );
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> >
626  smpAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
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 right-hand side sparse vector operand
636  RT x( rhs.vec_ );
637  if( x.nonZeros() == 0UL ) return;
638 
639  // Evaluation of the left-hand side sparse matrix operand
640  LT A( rhs.mat_ );
641 
642  // Checking the evaluated operators
643  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
644  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
645  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
646  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
647 
648  // Performing the transpose sparse matrix-sparse vector multiplication
649  smpAssign( ~lhs, A * x );
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> >
675  smpAddAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
676  {
678 
679  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
680 
681  // Evaluation of the right-hand side sparse vector operand
682  RT x( rhs.vec_ );
683  if( x.nonZeros() == 0UL ) return;
684 
685  // Evaluation of the left-hand side sparse matrix operand
686  LT A( rhs.mat_ );
687 
688  // Checking the evaluated operators
689  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
690  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
691  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
692  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
693 
694  // Performing the transpose sparse matrix-sparse vector multiplication
695  smpAddAssign( ~lhs, A * x );
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> >
721  smpSubAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
722  {
724 
725  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
726 
727  // Evaluation of the right-hand side sparse vector operand
728  RT x( rhs.vec_ );
729  if( x.nonZeros() == 0UL ) return;
730 
731  // Evaluation of the left-hand side sparse matrix operand
732  LT A( rhs.mat_ );
733 
734  // Checking the evaluated operators
735  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
736  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
737  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
738  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
739 
740  // Performing the transpose sparse matrix-sparse vector multiplication
741  smpSubAssign( ~lhs, A * x );
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> >
767  smpMultAssign( DenseVector<VT1,false>& lhs, const TSMatSVecMultExpr& rhs )
768  {
770 
773  BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE( CompositeType_<ResultType> );
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 T1 // Type of the left-hand side sparse matrix
840  , typename T2 > // Type of the right-hand side sparse vector
841 inline const DisableIf_< IsMatMatMultExpr<T1>, TSMatSVecMultExpr<T1,T2> >
843 {
845 
846  if( (~mat).columns() != (~vec).size() ) {
847  BLAZE_THROW_INVALID_ARGUMENT( "Matrix and vector sizes do not match" );
848  }
849 
850  return TSMatSVecMultExpr<T1,T2>( ~mat, ~vec );
851 }
852 //*************************************************************************************************
853 
854 
855 
856 
857 //=================================================================================================
858 //
859 // SIZE SPECIALIZATIONS
860 //
861 //=================================================================================================
862 
863 //*************************************************************************************************
865 template< typename MT, typename VT >
866 struct Size< TSMatSVecMultExpr<MT,VT> > : public Rows<MT>
867 {};
869 //*************************************************************************************************
870 
871 
872 
873 
874 //=================================================================================================
875 //
876 // EXPRESSION TRAIT SPECIALIZATIONS
877 //
878 //=================================================================================================
879 
880 //*************************************************************************************************
882 template< typename MT, typename VT, bool AF >
883 struct SubvectorExprTrait< TSMatSVecMultExpr<MT,VT>, AF >
884 {
885  public:
886  //**********************************************************************************************
887  using Type = MultExprTrait_< SubmatrixExprTrait_<const MT,AF>
888  , SubvectorExprTrait_<const VT,AF> >;
889  //**********************************************************************************************
890 };
892 //*************************************************************************************************
893 
894 } // namespace blaze
895 
896 #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
Header file for the Rows type trait.
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.
#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
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.
Header file for the IsDiagonal type trait.
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSMatSVecMultExpr.h:229
CompositeType_< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:108
BLAZE_ALWAYS_INLINE MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:188
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:533
If_< IsExpression< MT >, const MT, const MT & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:146
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:88
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSMatSVecMultExpr.h:139
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
Header file for the RequiresEvaluation type trait.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSMatSVecMultExpr.h:184
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.
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:573
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:140
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 transpose flag of vector types.
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: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
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: TSMatSVecMultExpr.h:259
CompositeType_< MT > MCT
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:107
If_< IsExpression< VT >, const VT, const VT & > RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:149
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:57
Expression object for sparse matrix-sparse vector multiplications.The TSMatSVecMultExpr class represe...
Definition: Forward.h:145
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
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatSVecMultExpr.h:293
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSVecMultExpr.h:143
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSVecMultExpr.h:249
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: TSMatSVecMultExpr.h:301
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
TSMatSVecMultExpr< MT, VT > This
Type of this TSMatSVecMultExpr instance.
Definition: TSMatSVecMultExpr.h:136
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:90
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:330
ResultType_< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:106
#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
#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:110
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.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSVecMultExpr.h:283
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSMatSVecMultExpr.h:216
ResultType_< MT > MRT
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:105
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT > >, RowExprTrait_< MT > > row(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific row of the given matrix.
Definition: Row.h:126
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatSVecMultExpr.h:300
Header file for run time assertion macros.
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: TSMatSVecMultExpr.h:239
TSMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the TSMatSVecMultExpr class.
Definition: TSMatSVecMultExpr.h:170
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
Header file for the reset shim.
Header file for the isDefault shim.
MultTrait_< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:137
Constraints on the storage order of matrix types.
Header file for the RemoveReference type trait.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:138
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
typename T::ConstIterator ConstIterator_
Alias declaration for nested ConstIterator type definitions.The ConstIterator_ alias declaration prov...
Definition: Aliases.h:103
IfTrue_< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side sparse vector operand.
Definition: TSMatSVecMultExpr.h:155
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
Constraint on the data type.
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
Header file for the MatVecMultExpr base class.
IfTrue_< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatSVecMultExpr.h:152
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSVecMultExpr.h:271
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
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.