DMatSVecMultExpr.h
Go to the documentation of this file.
1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSVECMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATSVECMULTEXPR_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>
75 #include <blaze/util/Assert.h>
76 #include <blaze/util/DisableIf.h>
77 #include <blaze/util/EnableIf.h>
80 #include <blaze/util/mpl/If.h>
81 #include <blaze/util/Types.h>
83 
84 
85 namespace blaze {
86 
87 //=================================================================================================
88 //
89 // CLASS DMATSVECMULTEXPR
90 //
91 //=================================================================================================
92 
93 //*************************************************************************************************
100 template< typename MT // Type of the left-hand side dense matrix
101  , typename VT > // Type of the right-hand side sparse vector
103  : public MatVecMultExpr< DenseVector< DMatSVecMultExpr<MT,VT>, false > >
104  , private Computation
105 {
106  private:
107  //**Type definitions****************************************************************************
112  //**********************************************************************************************
113 
114  //**********************************************************************************************
116  enum : bool { evaluateMatrix = RequiresEvaluation<MT>::value };
117  //**********************************************************************************************
118 
119  //**********************************************************************************************
121  enum : bool { evaluateVector = IsComputation<VT>::value || RequiresEvaluation<VT>::value };
122  //**********************************************************************************************
123 
124  //**********************************************************************************************
126 
132  enum : bool { useAssign = evaluateMatrix || evaluateVector };
133  //**********************************************************************************************
134 
135  //**********************************************************************************************
137  template< typename VT2 >
139  struct UseAssign {
140  enum : bool { value = useAssign };
141  };
143  //**********************************************************************************************
144 
145  //**********************************************************************************************
147 
151  template< typename T1 >
152  struct UseSMPAssign {
153  enum : bool { value = useAssign };
154  };
156  //**********************************************************************************************
157 
158  public:
159  //**Type definitions****************************************************************************
164  using ReturnType = const ElementType;
165 
168 
170  using LeftOperand = If_< IsExpression<MT>, const MT, const MT& >;
171 
173  using RightOperand = If_< IsExpression<VT>, const VT, const VT& >;
174 
177 
180  //**********************************************************************************************
181 
182  //**Compilation flags***************************************************************************
184  enum : bool { simdEnabled = false };
185 
187  enum : bool { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
188  !evaluateVector && VT::smpAssignable };
189  //**********************************************************************************************
190 
191  //**Constructor*********************************************************************************
197  explicit inline DMatSVecMultExpr( const MT& mat, const VT& vec ) noexcept
198  : mat_( mat ) // Left-hand side dense matrix of the multiplication expression
199  , vec_( vec ) // Right-hand side sparse vector of the multiplication expression
200  {
201  BLAZE_INTERNAL_ASSERT( mat_.columns() == vec_.size(), "Invalid matrix and vector sizes" );
202  }
203  //**********************************************************************************************
204 
205  //**Subscript operator**************************************************************************
211  inline ReturnType operator[]( size_t index ) const {
212  BLAZE_INTERNAL_ASSERT( index < mat_.rows(), "Invalid vector access index" );
213 
215  {
216  return mat_(index,index) * vec_[index];
217  }
218  else if( IsLower<MT>::value )
219  {
220  const size_t n( IsStrictlyLower<MT>::value ? index : index+1UL );
221  return subvector( row( mat_, index ), 0UL, n ) * subvector( vec_, 0UL, n );
222  }
223  else if( IsUpper<MT>::value )
224  {
225  const size_t begin( IsStrictlyUpper<MT>::value ? index+1UL : index );
226  const size_t n ( mat_.columns() - begin );
227  return subvector( row( mat_, index ), begin, n ) * subvector( vec_, begin, n );
228  }
229  else
230  {
231  return row( mat_, index ) * vec_;
232  }
233  }
234  //**********************************************************************************************
235 
236  //**At function*********************************************************************************
243  inline ReturnType at( size_t index ) const {
244  if( index >= mat_.rows() ) {
245  BLAZE_THROW_OUT_OF_RANGE( "Invalid vector access index" );
246  }
247  return (*this)[index];
248  }
249  //**********************************************************************************************
250 
251  //**Size function*******************************************************************************
256  inline size_t size() const noexcept {
257  return mat_.rows();
258  }
259  //**********************************************************************************************
260 
261  //**Left operand access*************************************************************************
266  inline LeftOperand leftOperand() const noexcept {
267  return mat_;
268  }
269  //**********************************************************************************************
270 
271  //**Right operand access************************************************************************
276  inline RightOperand rightOperand() const noexcept {
277  return vec_;
278  }
279  //**********************************************************************************************
280 
281  //**********************************************************************************************
287  template< typename T >
288  inline bool canAlias( const T* alias ) const noexcept {
289  return mat_.isAliased( alias ) || vec_.isAliased( alias );
290  }
291  //**********************************************************************************************
292 
293  //**********************************************************************************************
299  template< typename T >
300  inline bool isAliased( const T* alias ) const noexcept {
301  return mat_.isAliased( alias ) || vec_.isAliased( alias );
302  }
303  //**********************************************************************************************
304 
305  //**********************************************************************************************
310  inline bool isAligned() const noexcept {
311  return mat_.isAligned();
312  }
313  //**********************************************************************************************
314 
315  //**********************************************************************************************
320  inline bool canSMPAssign() const noexcept {
321  return ( size() > SMP_DMATSVECMULT_THRESHOLD );
322  }
323  //**********************************************************************************************
324 
325  private:
326  //**Member variables****************************************************************************
329  //**********************************************************************************************
330 
331  //**Assignment to dense vectors*****************************************************************
347  template< typename VT1 > // Type of the target dense vector
348  friend inline EnableIf_< UseAssign<VT1> >
349  assign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
350  {
352 
353  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
354 
355  // Evaluation of the right-hand side sparse vector operand
356  RT x( serial( rhs.vec_ ) );
357  if( x.nonZeros() == 0UL ) {
358  reset( ~lhs );
359  return;
360  }
361 
362  // Evaluation of the left-hand side dense matrix operand
363  LT A( serial( rhs.mat_ ) );
364 
365  // Checking the evaluated operands
366  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
367  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
368  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
369  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
370 
371  // Performing the dense matrix-sparse vector multiplication
372  assign( ~lhs, A * x );
373  }
375  //**********************************************************************************************
376 
377  //**Assignment to sparse vectors****************************************************************
393  template< typename VT1 > // Type of the target sparse vector
394  friend inline EnableIf_< UseAssign<VT1> >
395  assign( SparseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
396  {
398 
402 
403  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
404 
405  const ResultType tmp( serial( rhs ) );
406  assign( ~lhs, tmp );
407  }
409  //**********************************************************************************************
410 
411  //**Addition assignment to dense vectors********************************************************
427  template< typename VT1 > // Type of the target dense vector
428  friend inline EnableIf_< UseAssign<VT1> >
429  addAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
430  {
432 
433  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
434 
435  // Evaluation of the right-hand side sparse vector operand
436  RT x( serial( rhs.vec_ ) );
437  if( x.nonZeros() == 0UL ) return;
438 
439  // Evaluation of the left-hand side dense matrix operand
440  LT A( serial( rhs.mat_ ) );
441 
442  // Checking the evaluated operands
443  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
444  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
445  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
446  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
447 
448  // Performing the dense matrix-sparse vector multiplication
449  addAssign( ~lhs, A * x );
450  }
452  //**********************************************************************************************
453 
454  //**Addition assignment to sparse vectors*******************************************************
455  // No special implementation for the addition assignment to sparse vectors.
456  //**********************************************************************************************
457 
458  //**Subtraction assignment to dense vectors*****************************************************
474  template< typename VT1 > // Type of the target dense vector
475  friend inline EnableIf_< UseAssign<VT1> >
476  subAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
477  {
479 
480  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
481 
482  // Evaluation of the right-hand side sparse vector operand
483  RT x( serial( rhs.vec_ ) );
484  if( x.nonZeros() == 0UL ) return;
485 
486  // Evaluation of the left-hand side dense matrix operand
487  LT A( serial( rhs.mat_ ) );
488 
489  // Checking the evaluated operands
490  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
491  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
492  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
493  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
494 
495  // Performing the dense matrix-sparse vector multiplication
496  subAssign( ~lhs, A * x );
497  }
499  //**********************************************************************************************
500 
501  //**Subtraction assignment to sparse vectors****************************************************
502  // No special implementation for the subtraction assignment to sparse vectors.
503  //**********************************************************************************************
504 
505  //**Multiplication assignment to dense vectors**************************************************
521  template< typename VT1 > // Type of the target dense vector
522  friend inline EnableIf_< UseAssign<VT1> >
523  multAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
524  {
526 
530 
531  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
532 
533  const ResultType tmp( serial( rhs ) );
534  multAssign( ~lhs, tmp );
535  }
537  //**********************************************************************************************
538 
539  //**Multiplication assignment to sparse vectors*************************************************
540  // No special implementation for the multiplication assignment to sparse vectors.
541  //**********************************************************************************************
542 
543  //**Division assignment to dense vectors********************************************************
559  template< typename VT1 > // Type of the target dense vector
560  friend inline EnableIf_< UseAssign<VT1> >
561  divAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
562  {
564 
568 
569  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
570 
571  const ResultType tmp( serial( rhs ) );
572  divAssign( ~lhs, tmp );
573  }
575  //**********************************************************************************************
576 
577  //**Division assignment to sparse vectors*******************************************************
578  // No special implementation for the division assignment to sparse vectors.
579  //**********************************************************************************************
580 
581  //**SMP assignment to dense vectors*************************************************************
596  template< typename VT1 > // Type of the target dense vector
597  friend inline EnableIf_< UseSMPAssign<VT1> >
599  {
601 
602  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
603 
604  // Evaluation of the right-hand side sparse vector operand
605  RT x( rhs.vec_ );
606  if( x.nonZeros() == 0UL ) {
607  reset( ~lhs );
608  return;
609  }
610 
611  // Evaluation of the left-hand side dense matrix operand
612  LT A( rhs.mat_ );
613 
614  // Checking the evaluated operands
615  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
616  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
617  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
618  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
619 
620  // Performing the dense matrix-sparse vector multiplication
621  smpAssign( ~lhs, A * x );
622  }
624  //**********************************************************************************************
625 
626  //**SMP assignment to sparse vectors************************************************************
641  template< typename VT1 > // Type of the target sparse vector
642  friend inline EnableIf_< UseSMPAssign<VT1> >
644  {
646 
650 
651  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
652 
653  const ResultType tmp( rhs );
654  smpAssign( ~lhs, tmp );
655  }
657  //**********************************************************************************************
658 
659  //**SMP addition assignment to dense vectors****************************************************
674  template< typename VT1 > // Type of the target dense vector
675  friend inline EnableIf_< UseSMPAssign<VT1> >
677  {
679 
680  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
681 
682  // Evaluation of the right-hand side sparse vector operand
683  RT x( rhs.vec_ );
684  if( x.nonZeros() == 0UL ) return;
685 
686  // Evaluation of the left-hand side dense matrix operand
687  LT A( rhs.mat_ );
688 
689  // Checking the evaluated operands
690  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
691  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
692  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
693  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
694 
695  // Performing the dense matrix-sparse vector multiplication
696  smpAddAssign( ~lhs, A * x );
697  }
699  //**********************************************************************************************
700 
701  //**SMP addition assignment to sparse vectors***************************************************
702  // No special implementation for the SMP addition assignment to sparse vectors.
703  //**********************************************************************************************
704 
705  //**SMP subtraction assignment to dense vectors*************************************************
720  template< typename VT1 > // Type of the target dense vector
721  friend inline EnableIf_< UseSMPAssign<VT1> >
723  {
725 
726  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
727 
728  // Evaluation of the right-hand side sparse vector operand
729  RT x( rhs.vec_ );
730  if( x.nonZeros() == 0UL ) return;
731 
732  // Evaluation of the left-hand side dense matrix operand
733  LT A( rhs.mat_ );
734 
735  // Checking the evaluated operands
736  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
737  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
738  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
739  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
740 
741  // Performing the dense matrix-sparse vector multiplication
742  smpSubAssign( ~lhs, A * x );
743  }
745  //**********************************************************************************************
746 
747  //**SMP subtraction assignment to sparse vectors************************************************
748  // No special implementation for the SMP subtraction assignment to sparse vectors.
749  //**********************************************************************************************
750 
751  //**SMP multiplication assignment to dense vectors**********************************************
766  template< typename VT1 > // Type of the target dense vector
767  friend inline EnableIf_< UseSMPAssign<VT1> >
769  {
771 
775 
776  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
777 
778  const ResultType tmp( rhs );
779  smpMultAssign( ~lhs, tmp );
780  }
782  //**********************************************************************************************
783 
784  //**SMP multiplication assignment to sparse vectors*********************************************
785  // No special implementation for the SMP multiplication assignment to sparse vectors.
786  //**********************************************************************************************
787 
788  //**SMP division assignment to dense vectors****************************************************
803  template< typename VT1 > // Type of the target dense vector
804  friend inline EnableIf_< UseSMPAssign<VT1> >
806  {
808 
812 
813  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
814 
815  const ResultType tmp( rhs );
816  smpDivAssign( ~lhs, tmp );
817  }
819  //**********************************************************************************************
820 
821  //**SMP division assignment to sparse vectors***************************************************
822  // No special implementation for the SMP division assignment to sparse vectors.
823  //**********************************************************************************************
824 
825  //**Compile time checks*************************************************************************
834  //**********************************************************************************************
835 };
836 //*************************************************************************************************
837 
838 
839 
840 
841 //=================================================================================================
842 //
843 // GLOBAL BINARY ARITHMETIC OPERATORS
844 //
845 //=================================================================================================
846 
847 //*************************************************************************************************
861 template< typename MT // Type of the left-hand side dense matrix
862  , typename VT // Type of the right-hand side sparse vector
863  , typename = DisableIf_< IsSymmetric<MT> > >
864 inline const DMatSVecMultExpr<MT,VT>
865  dmatsvecmult( const DenseMatrix<MT,false>& mat, const SparseVector<VT,false>& vec )
866 {
868 
869  BLAZE_INTERNAL_ASSERT( (~mat).columns() == (~vec).size(), "Invalid matrix and vector sizes" );
870 
871  return DMatSVecMultExpr<MT,VT>( ~mat, ~vec );
872 }
874 //*************************************************************************************************
875 
876 
877 //*************************************************************************************************
891 template< typename MT // Type of the left-hand side dense matrix
892  , typename VT // Type of the right-hand side sparse vector
893  , typename = EnableIf_< IsSymmetric<MT> > >
894 inline decltype(auto)
895  dmatsvecmult( const DenseMatrix<MT,false>& mat, const SparseVector<VT,false>& vec )
896 {
898 
899  BLAZE_INTERNAL_ASSERT( (~mat).columns() == (~vec).size(), "Invalid matrix and vector sizes" );
900 
901  return trans( ~mat ) * (~vec);
902 }
904 //*************************************************************************************************
905 
906 
907 //*************************************************************************************************
939 template< typename MT // Type of the left-hand side dense matrix
940  , typename VT > // Type of the right-hand side sparse vector
941 inline decltype(auto)
942  operator*( const DenseMatrix<MT,false>& mat, const SparseVector<VT,false>& vec )
943 {
945 
947 
948  if( (~mat).columns() != (~vec).size() ) {
949  BLAZE_THROW_INVALID_ARGUMENT( "Matrix and vector sizes do not match" );
950  }
951 
952  return dmatsvecmult( ~mat, ~vec );
953 }
954 //*************************************************************************************************
955 
956 
957 
958 
959 //=================================================================================================
960 //
961 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
962 //
963 //=================================================================================================
964 
965 //*************************************************************************************************
979 template< typename MT // Matrix base type of the left-hand side expression
980  , typename VT > // Type of the right-hand side sparse vector
981 inline decltype(auto)
982  operator*( const MatMatMultExpr<MT>& mat, const SparseVector<VT,false>& vec )
983 {
985 
986  return (~mat).leftOperand() * ( (~mat).rightOperand() * vec );
987 }
989 //*************************************************************************************************
990 
991 
992 
993 
994 //=================================================================================================
995 //
996 // SIZE SPECIALIZATIONS
997 //
998 //=================================================================================================
999 
1000 //*************************************************************************************************
1002 template< typename MT, typename VT >
1003 struct Size< DMatSVecMultExpr<MT,VT> >
1004  : public Rows<MT>
1005 {};
1007 //*************************************************************************************************
1008 
1009 
1010 
1011 
1012 //=================================================================================================
1013 //
1014 // ISALIGNED SPECIALIZATIONS
1015 //
1016 //=================================================================================================
1017 
1018 //*************************************************************************************************
1020 template< typename MT, typename VT >
1021 struct IsAligned< DMatSVecMultExpr<MT,VT> >
1022  : public BoolConstant< IsAligned<MT>::value >
1023 {};
1025 //*************************************************************************************************
1026 
1027 } // namespace blaze
1028 
1029 #endif
IfTrue_< useAssign, const ResultType, const DMatSVecMultExpr &> CompositeType
Data type for composite expression templates.
Definition: DMatSVecMultExpr.h:167
#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.
IfTrue_< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:176
Header file for basic type definitions.
Subvector< VT, AF > 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:322
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: DMatSVecMultExpr.h:243
#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:164
Header file for the serial shim.
Header file for the IsDiagonal type trait.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
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:198
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:560
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
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
Header file for the DenseVector base class.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DMatSVecMultExpr.h:211
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatSVecMultExpr.h:310
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:250
Header file for the Computation base class.
Header file for the MatMatMultExpr 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.
Header file for the RequiresEvaluation type trait.
LeftOperand mat_
Left-hand side dense matrix of the multiplication expression.
Definition: DMatSVecMultExpr.h:327
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
EnableIf_< IsDenseMatrix< MT1 > > smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:133
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
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.
Row< MT > row(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific row of the given matrix.
Definition: Row.h:124
Compile time check for the alignment of data types.This type trait tests whether the given data type ...
Definition: IsAligned.h:87
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
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
Expression object for dense matrix-sparse vector multiplications.The DMatSVecMultExpr class represent...
Definition: DMatSVecMultExpr.h:102
Header file for the DisableIf class template.
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Header file for the If class template.
EnableIf_< IsDenseMatrix< MT1 > > smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:102
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: DMatSVecMultExpr.h:328
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
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
Header file for the IsAligned type trait.
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:340
ResultType_< MT > MRT
Result type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:108
Base class for all matrix/vector multiplication expression templates.The MatVecMultExpr class serves ...
Definition: MatVecMultExpr.h:67
#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:88
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSVecMultExpr.h:162
#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:109
Constraint on the data type.
Header file for the exception macros of the math module.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: DMatSVecMultExpr.h:276
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
decltype(auto) operator*(const DenseMatrix< MT1, false > &lhs, const DenseMatrix< MT2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:8893
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Constraint on the data type.
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: DMatSVecMultExpr.h:256
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
MultTrait_< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: DMatSVecMultExpr.h:161
Base class for all matrix/matrix multiplication expression templates.The MatMatMultExpr class serves ...
Definition: MatMatMultExpr.h:67
#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
If_< IsExpression< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:170
Header file for run time assertion macros.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:266
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSVecMultExpr.h:288
ElementType_< ResultType > ElementType
Resulting element type.
Definition: DMatSVecMultExpr.h:163
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:154
EnableIf_< IsDenseVector< VT1 > > smpDivAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP division assignment of a vector to a dense vector.
Definition: DenseVector.h:222
Header file for the reset shim.
#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
Constraint on the data type.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:819
#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
Header file for the RemoveReference type trait.
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:224
CompositeType_< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:111
If_< IsExpression< VT >, const VT, const VT &> RightOperand
Composite type of the right-hand side dense vector expression.
Definition: DMatSVecMultExpr.h:173
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional vector type...
Definition: DenseVector.h:61
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:790
Header file for the IsComputation type trait class.
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Compile time evaluation of the size of a vector.The Size type trait evaluates the size of the given v...
Definition: Size.h:74
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:130
Header file for the IntegralConstant class template.
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:75
ResultType_< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:109
CompositeType_< MT > MCT
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:110
Constraint on the data type.
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:423
Header file for the IsUpper type trait.
Header file for the MatVecMultExpr base class.
Constraint on the data type.
Header file for the Size type trait.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatSVecMultExpr.h:320
#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
const ElementType ReturnType
Return type for expression template evaluations.
Definition: DMatSVecMultExpr.h:164
DMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the DMatSVecMultExpr class.
Definition: DMatSVecMultExpr.h:197
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
IfTrue_< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:179
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSVecMultExpr.h:300