Blaze  3.6
DMatSVecMultExpr.h
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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>
55 #include <blaze/math/Exception.h>
61 #include <blaze/math/shims/Reset.h>
75 #include <blaze/math/views/Check.h>
77 #include <blaze/util/Assert.h>
78 #include <blaze/util/DisableIf.h>
79 #include <blaze/util/EnableIf.h>
81 #include <blaze/util/MaybeUnused.h>
82 #include <blaze/util/mpl/If.h>
83 #include <blaze/util/Types.h>
84 
85 
86 namespace blaze {
87 
88 //=================================================================================================
89 //
90 // CLASS DMATSVECMULTEXPR
91 //
92 //=================================================================================================
93 
94 //*************************************************************************************************
101 template< typename MT // Type of the left-hand side dense matrix
102  , typename VT > // Type of the right-hand side sparse vector
104  : public MatVecMultExpr< DenseVector< DMatSVecMultExpr<MT,VT>, false > >
105  , private Computation
106 {
107  private:
108  //**Type definitions****************************************************************************
113  //**********************************************************************************************
114 
115  //**********************************************************************************************
117  static constexpr bool evaluateMatrix = RequiresEvaluation_v<MT>;
118  //**********************************************************************************************
119 
120  //**********************************************************************************************
122  static constexpr bool evaluateVector = ( IsComputation_v<VT> || RequiresEvaluation_v<VT> );
123  //**********************************************************************************************
124 
125  //**********************************************************************************************
127 
133  static constexpr bool useAssign = ( evaluateMatrix || evaluateVector );
134  //**********************************************************************************************
135 
136  //**********************************************************************************************
138  template< typename VT2 >
140  static constexpr bool UseAssign_v = useAssign;
142  //**********************************************************************************************
143 
144  //**********************************************************************************************
146 
150  template< typename T1 >
151  static constexpr bool UseSMPAssign_v = useAssign;
153  //**********************************************************************************************
154 
155  public:
156  //**Type definitions****************************************************************************
162  using ReturnType = const ElementType;
163 
166 
168  using LeftOperand = If_t< IsExpression_v<MT>, const MT, const MT& >;
169 
171  using RightOperand = If_t< IsExpression_v<VT>, const VT, const VT& >;
172 
175 
178  //**********************************************************************************************
179 
180  //**Compilation flags***************************************************************************
182  static constexpr bool simdEnabled = false;
183 
185  static constexpr bool smpAssignable =
186  ( !evaluateMatrix && MT::smpAssignable && !evaluateVector && VT::smpAssignable );
187  //**********************************************************************************************
188 
189  //**Constructor*********************************************************************************
195  explicit inline DMatSVecMultExpr( const MT& mat, const VT& vec ) noexcept
196  : mat_( mat ) // Left-hand side dense matrix of the multiplication expression
197  , vec_( vec ) // Right-hand side sparse vector of the multiplication expression
198  {
199  BLAZE_INTERNAL_ASSERT( mat_.columns() == vec_.size(), "Invalid matrix and vector sizes" );
200  }
201  //**********************************************************************************************
202 
203  //**Subscript operator**************************************************************************
209  inline ReturnType operator[]( size_t index ) const {
210  BLAZE_INTERNAL_ASSERT( index < mat_.rows(), "Invalid vector access index" );
211 
212  if( IsDiagonal_v<MT> )
213  {
214  return mat_(index,index) * vec_[index];
215  }
216  else if( IsLower_v<MT> )
217  {
218  const size_t n( IsStrictlyLower_v<MT> ? index : index+1UL );
219  return subvector( row( mat_, index, unchecked ), 0UL, n, unchecked ) *
220  subvector( vec_, 0UL, n, unchecked );
221  }
222  else if( IsUpper_v<MT> )
223  {
224  const size_t begin( IsStrictlyUpper_v<MT> ? index+1UL : index );
225  const size_t n ( mat_.columns() - begin );
226  return subvector( row( mat_, index, unchecked ), begin, n, unchecked ) *
227  subvector( vec_, begin, n, unchecked );
228  }
229  else
230  {
231  return row( mat_, index, unchecked ) * 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 auto 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 auto 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 auto addAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
429  -> EnableIf_t< UseAssign_v<VT1> >
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 auto subAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
476  -> EnableIf_t< UseAssign_v<VT1> >
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 auto multAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
523  -> EnableIf_t< UseAssign_v<VT1> >
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 auto divAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
561  -> EnableIf_t< UseAssign_v<VT1> >
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 auto smpAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
598  -> EnableIf_t< UseSMPAssign_v<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 auto smpAssign( SparseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
643  -> EnableIf_t< UseSMPAssign_v<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 auto smpAddAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
676  -> EnableIf_t< UseSMPAssign_v<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 auto smpSubAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
722  -> EnableIf_t< UseSMPAssign_v<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 auto smpMultAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
768  -> EnableIf_t< UseSMPAssign_v<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 auto smpDivAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
805  -> EnableIf_t< UseSMPAssign_v<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*************************************************************************
835  //**********************************************************************************************
836 };
837 //*************************************************************************************************
838 
839 
840 
841 
842 //=================================================================================================
843 //
844 // GLOBAL BINARY ARITHMETIC OPERATORS
845 //
846 //=================================================================================================
847 
848 //*************************************************************************************************
861 template< typename MT // Type of the left-hand side dense matrix
862  , typename VT // Type of the right-hand side sparse vector
863  , DisableIf_t< IsSymmetric_v<MT> || IsZero_v<VT> >* = nullptr >
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  , EnableIf_t< IsSymmetric_v<MT> && !IsZero_v<VT> >* = nullptr >
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 //*************************************************************************************************
920 template< typename MT // Type of the left-hand side dense matrix
921  , typename VT // Type of the right-hand side sparse vector
922  , EnableIf_t< IsZero_v<VT> >* = nullptr >
923 inline decltype(auto)
924  dmatsvecmult( const DenseMatrix<MT,false>& mat, const SparseVector<VT,false>& vec )
925 {
927 
928  MAYBE_UNUSED( vec );
929 
930  BLAZE_INTERNAL_ASSERT( (~mat).columns() == (~vec).size(), "Invalid matrix and vector sizes" );
931 
932  using ReturnType = const MultTrait_t< ResultType_t<MT>, ResultType_t<VT> >;
933 
936 
937  return ReturnType( (~mat).rows() );
938 }
940 //*************************************************************************************************
941 
942 
943 //*************************************************************************************************
975 template< typename MT // Type of the left-hand side dense matrix
976  , typename VT > // Type of the right-hand side sparse vector
977 inline decltype(auto)
978  operator*( const DenseMatrix<MT,false>& mat, const SparseVector<VT,false>& vec )
979 {
981 
983 
984  if( (~mat).columns() != (~vec).size() ) {
985  BLAZE_THROW_INVALID_ARGUMENT( "Matrix and vector sizes do not match" );
986  }
987 
988  return dmatsvecmult( ~mat, ~vec );
989 }
990 //*************************************************************************************************
991 
992 
993 
994 
995 //=================================================================================================
996 //
997 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
998 //
999 //=================================================================================================
1000 
1001 //*************************************************************************************************
1015 template< typename MT // Matrix base type of the left-hand side expression
1016  , typename VT > // Type of the right-hand side sparse vector
1017 inline decltype(auto)
1018  operator*( const MatMatMultExpr<MT>& mat, const SparseVector<VT,false>& vec )
1019 {
1021 
1022  return (~mat).leftOperand() * ( (~mat).rightOperand() * vec );
1023 }
1025 //*************************************************************************************************
1026 
1027 
1028 
1029 
1030 //=================================================================================================
1031 //
1032 // ISALIGNED SPECIALIZATIONS
1033 //
1034 //=================================================================================================
1035 
1036 //*************************************************************************************************
1038 template< typename MT, typename VT >
1039 struct IsAligned< DMatSVecMultExpr<MT,VT> >
1040  : public IsAligned<MT>
1041 {};
1043 //*************************************************************************************************
1044 
1045 } // namespace blaze
1046 
1047 #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.
Header file for the blaze::checked and blaze::unchecked instances.
Header file for basic type definitions.
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias template for the If class template.The If_t alias template provides a convenient shor...
Definition: If.h:109
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: DMatSVecMultExpr.h:243
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a column dense or sparse vector type...
Definition: ColumnVector.h:61
Header file for the serial shim.
Header file for the IsDiagonal type trait.
#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
MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:372
static constexpr bool evaluateVector
Compilation switch for the composite type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:122
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:595
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
Constraint on the data type.
Header file for the DenseVector base class.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DMatSVecMultExpr.h:209
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:154
Header file for the MAYBE_UNUSED function template.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatSVecMultExpr.h:310
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
Header file for the reset shim.
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
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes....
Definition: DenseMatrix.h:81
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
auto smpDivAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP division assignment of a vector to a dense vector.
Definition: DenseVector.h:220
Constraint on the transpose flag of vector types.
MultTrait_t< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: DMatSVecMultExpr.h:159
Constraint on the data type.
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
If_t< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:177
If_t< useAssign, const ResultType, const DMatSVecMultExpr & > CompositeType
Data type for composite expression templates.
Definition: DMatSVecMultExpr.h:165
Expression object for dense matrix-sparse vector multiplications.The DMatSVecMultExpr class represent...
Definition: DMatSVecMultExpr.h:103
Header file for the DisableIf class template.
CompositeType_t< MT > MCT
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:111
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:58
Header file for the If class template.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DMatSVecMultExpr.h:185
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is not a zero vector or matrix type,...
Definition: Zero.h:61
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: DMatSVecMultExpr.h:328
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
Header file for the IsLower type trait.
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional vector type,...
Definition: SparseVector.h:61
ResultType_t< MT > MRT
Result type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:109
Header file for the IsAligned type trait.
ResultType_t< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:110
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:83
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATVECMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/vector ...
Definition: MatVecMultExpr.h:104
CompositeType_t< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:112
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
Constraint on the data type.
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.
If_t< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:174
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: DMatSVecMultExpr.h:161
typename MultTrait< T1, T2 >::Type MultTrait_t
Auxiliary alias declaration for the MultTrait class template.The MultTrait_t alias declaration provid...
Definition: MultTrait.h:240
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSVecMultExpr.h:160
#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,...
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
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:266
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSVecMultExpr.h:288
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:133
Header file for the IsZero type trait.
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
Header file for all forward declarations for expression class templates.
constexpr size_t size(const Matrix< MT, SO > &matrix) noexcept
Returns the total number of elements of the matrix.
Definition: Matrix.h:530
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
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:808
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
#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:765
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DMatSVecMultExpr.h:182
If_t< IsExpression_v< VT >, const VT, const VT & > RightOperand
Composite type of the right-hand side dense vector expression.
Definition: DMatSVecMultExpr.h:171
Header file for the IsComputation type trait class.
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:146
If_t< IsExpression_v< MT >, const MT, const MT & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:168
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:117
Constraint on the data type.
Constraint on the data type.
Header file for the IsUpper type trait.
Header file for the MatVecMultExpr base class.
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is a zero vector or matrix type,...
Definition: Zero.h:81
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatSVecMultExpr.h:320
static constexpr bool useAssign
Compilation switch for the evaluation strategy of the multiplication expression.
Definition: DMatSVecMultExpr.h:133
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression,...
Definition: Assert.h:101
auto smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP multiplication assignment of a vector to a dense vector.
Definition: DenseVector.h:191
const ElementType ReturnType
Return type for expression template evaluations.
Definition: DMatSVecMultExpr.h:162
DMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the DMatSVecMultExpr class.
Definition: DMatSVecMultExpr.h:195
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSVecMultExpr.h:300