TSVecTDMatMultExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSVECTDMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSVECTDMATMULTEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/Aliases.h>
54 #include <blaze/math/Exception.h>
59 #include <blaze/math/shims/Reset.h>
73 #include <blaze/math/views/Check.h>
75 #include <blaze/util/Assert.h>
76 #include <blaze/util/DisableIf.h>
77 #include <blaze/util/EnableIf.h>
79 #include <blaze/util/mpl/If.h>
80 #include <blaze/util/Types.h>
81 #include <blaze/util/Unused.h>
82 
83 
84 namespace blaze {
85 
86 //=================================================================================================
87 //
88 // CLASS TSVECDMATMULTEXPR
89 //
90 //=================================================================================================
91 
92 //*************************************************************************************************
99 template< typename VT // Type of the left-hand side sparse vector
100  , typename MT > // Type of the right-hand side dense matrix
101 class TSVecTDMatMultExpr
102  : public TVecMatMultExpr< DenseVector< TSVecTDMatMultExpr<VT,MT>, true > >
103  , private Computation
104 {
105  private:
106  //**Type definitions****************************************************************************
111  //**********************************************************************************************
112 
113  //**********************************************************************************************
115  static constexpr bool evaluateVector = ( IsComputation_v<VT> || RequiresEvaluation_v<VT> );
116  //**********************************************************************************************
117 
118  //**********************************************************************************************
120  static constexpr bool evaluateMatrix = RequiresEvaluation_v<MT>;
121  //**********************************************************************************************
122 
123  //**********************************************************************************************
125 
131  static constexpr bool useAssign = ( evaluateVector || evaluateMatrix );
132  //**********************************************************************************************
133 
134  //**********************************************************************************************
136  template< typename VT2 >
138  static constexpr bool UseAssign_v = useAssign;
140  //**********************************************************************************************
141 
142  //**********************************************************************************************
144 
148  template< typename T1 >
149  static constexpr bool UseSMPAssign_v = useAssign;
151  //**********************************************************************************************
152 
153  public:
154  //**Type definitions****************************************************************************
160  using ReturnType = const ElementType;
161 
164 
166  using LeftOperand = If_t< IsExpression_v<VT>, const VT, const VT& >;
167 
169  using RightOperand = If_t< IsExpression_v<MT>, const MT, const MT& >;
170 
173 
176  //**********************************************************************************************
177 
178  //**Compilation flags***************************************************************************
180  static constexpr bool simdEnabled = false;
181 
183  static constexpr bool smpAssignable =
185  //**********************************************************************************************
186 
187  //**Constructor*********************************************************************************
193  explicit inline TSVecTDMatMultExpr( const VT& vec, const MT& mat ) noexcept
194  : vec_( vec ) // Left-hand side sparse vector of the multiplication expression
195  , mat_( mat ) // Right-hand side dense matrix of the multiplication expression
196  {
197  BLAZE_INTERNAL_ASSERT( vec_.size() == mat_.rows(), "Invalid vector and matrix sizes" );
198  }
199  //**********************************************************************************************
200 
201  //**Subscript operator**************************************************************************
207  inline ReturnType operator[]( size_t index ) const {
208  BLAZE_INTERNAL_ASSERT( index < mat_.columns(), "Invalid vector access index" );
209 
210  if( IsDiagonal_v<MT> )
211  {
212  return vec_[index] * mat_(index,index);
213  }
214  else if( IsLower_v<MT> )
215  {
216  const size_t begin( IsStrictlyLower_v<MT> ? index+1UL : index );
217  const size_t n ( mat_.rows() - begin );
218  return subvector( vec_, begin, n, unchecked ) *
219  subvector( column( mat_, index, unchecked ), begin, n, unchecked );
220  }
221  else if( IsUpper_v<MT> )
222  {
223  const size_t n( IsStrictlyUpper_v<MT> ? index : index+1UL );
224  return subvector( vec_, 0UL, n, unchecked ) *
225  subvector( column( mat_, index, unchecked ), 0UL, n, unchecked );
226  }
227  else
228  {
229  return vec_ * column( mat_, index, unchecked );
230  }
231  }
232  //**********************************************************************************************
233 
234  //**At function*********************************************************************************
241  inline ReturnType at( size_t index ) const {
242  if( index >= mat_.columns() ) {
243  BLAZE_THROW_OUT_OF_RANGE( "Invalid vector access index" );
244  }
245  return (*this)[index];
246  }
247  //**********************************************************************************************
248 
249  //**Size function*******************************************************************************
254  inline size_t size() const noexcept {
255  return mat_.columns();
256  }
257  //**********************************************************************************************
258 
259  //**Left operand access*************************************************************************
264  inline LeftOperand leftOperand() const noexcept {
265  return vec_;
266  }
267  //**********************************************************************************************
268 
269  //**Right operand access************************************************************************
274  inline RightOperand rightOperand() const noexcept {
275  return mat_;
276  }
277  //**********************************************************************************************
278 
279  //**********************************************************************************************
285  template< typename T >
286  inline bool canAlias( const T* alias ) const noexcept {
287  return vec_.isAliased( alias ) || mat_.isAliased( alias );
288  }
289  //**********************************************************************************************
290 
291  //**********************************************************************************************
297  template< typename T >
298  inline bool isAliased( const T* alias ) const noexcept {
299  return vec_.isAliased( alias ) || mat_.isAliased( alias );
300  }
301  //**********************************************************************************************
302 
303  //**********************************************************************************************
308  inline bool isAligned() const noexcept {
309  return mat_.isAligned();
310  }
311  //**********************************************************************************************
312 
313  //**********************************************************************************************
318  inline bool canSMPAssign() const noexcept {
319  return ( size() > SMP_TSVECTDMATMULT_THRESHOLD );
320  }
321  //**********************************************************************************************
322 
323  private:
324  //**Member variables****************************************************************************
327  //**********************************************************************************************
328 
329  //**Assignment to dense vectors*****************************************************************
345  template< typename VT2 > // Type of the target dense vector
346  friend inline auto assign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
348  {
350 
351  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
352 
353  // Evaluation of the left-hand side sparse vector operand
354  LT x( serial( rhs.vec_ ) );
355  if( x.nonZeros() == 0UL ) {
356  reset( ~lhs );
357  return;
358  }
359 
360  // Evaluation of the right-hand side dense matrix operand
361  RT A( serial( rhs.mat_ ) );
362 
363  // Checking the evaluated operands
364  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
365  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
366  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
367  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
368 
369  // Performing the sparse vector-dense matrix multiplication
370  assign( ~lhs, x * A );
371  }
373  //**********************************************************************************************
374 
375  //**Assignment to sparse vectors****************************************************************
391  template< typename VT2 > // Type of the target sparse vector
392  friend inline auto assign( SparseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
394  {
396 
400 
401  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
402 
403  const ResultType tmp( serial( rhs ) );
404  assign( ~lhs, tmp );
405  }
407  //**********************************************************************************************
408 
409  //**Addition assignment to dense vectors********************************************************
424  template< typename VT2 > // Type of the target dense vector
425  friend inline auto addAssign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
427  {
429 
430  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
431 
432  // Evaluation of the left-hand side sparse vector operand
433  LT x( serial( rhs.vec_ ) );
434  if( x.nonZeros() == 0UL ) return;
435 
436  // Evaluation of the right-hand side dense matrix operand
437  RT A( serial( rhs.mat_ ) );
438 
439  // Checking the evaluated operands
440  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
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( A.columns() == (~lhs).size() , "Invalid vector size" );
444 
445  // Performing the sparse vector-dense matrix multiplication
446  addAssign( ~lhs, x * A );
447  }
448  //**********************************************************************************************
449 
450  //**Addition assignment to sparse vectors*******************************************************
451  // No special implementation for the addition assignment to sparse vectors.
452  //**********************************************************************************************
453 
454  //**Subtraction assignment to dense vectors*****************************************************
469  template< typename VT2 > // Type of the target dense vector
470  friend inline auto subAssign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
472  {
474 
475  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
476 
477  // Evaluation of the left-hand side sparse vector operand
478  LT x( serial( rhs.vec_ ) );
479  if( x.nonZeros() == 0UL ) return;
480 
481  // Evaluation of the right-hand side dense matrix operand
482  RT A( serial( rhs.mat_ ) );
483 
484  // Checking the evaluated operands
485  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
486  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
487  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
488  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
489 
490  // Performing the sparse vector-dense matrix multiplication
491  subAssign( ~lhs, x * A );
492  }
493  //**********************************************************************************************
494 
495  //**Subtraction assignment to sparse vectors****************************************************
496  // No special implementation for the subtraction assignment to sparse vectors.
497  //**********************************************************************************************
498 
499  //**Multiplication assignment to dense vectors**************************************************
514  template< typename VT2 > // Type of the target dense vector
515  friend inline auto multAssign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
517  {
519 
523 
524  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
525 
526  const ResultType tmp( serial( rhs ) );
527  multAssign( ~lhs, tmp );
528  }
529  //**********************************************************************************************
530 
531  //**Multiplication assignment to sparse vectors*************************************************
532  // No special implementation for the multiplication assignment to sparse vectors.
533  //**********************************************************************************************
534 
535  //**Division assignment to dense vectors********************************************************
550  template< typename VT2 > // Type of the target dense vector
551  friend inline auto divAssign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
553  {
555 
559 
560  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
561 
562  const ResultType tmp( serial( rhs ) );
563  divAssign( ~lhs, tmp );
564  }
565  //**********************************************************************************************
566 
567  //**Division assignment to sparse vectors*******************************************************
568  // No special implementation for the division assignment to sparse vectors.
569  //**********************************************************************************************
570 
571  //**SMP assignment to dense vectors*************************************************************
586  template< typename VT2 > // Type of the target dense vector
587  friend inline auto smpAssign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
589  {
591 
592  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
593 
594  // Evaluation of the left-hand side sparse vector operand
595  LT x( rhs.vec_ );
596  if( x.nonZeros() == 0UL ) {
597  reset( ~lhs );
598  return;
599  }
600 
601  // Evaluation of the right-hand side dense matrix operand
602  RT A( rhs.mat_ );
603 
604  // Checking the evaluated operands
605  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
606  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
607  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
608  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
609 
610  // Performing the sparse vector-dense matrix multiplication
611  smpAssign( ~lhs, x * A );
612  }
614  //**********************************************************************************************
615 
616  //**SMP assignment to sparse vectors************************************************************
631  template< typename VT2 > // Type of the target sparse vector
632  friend inline auto smpAssign( SparseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
633  -> EnableIf_t< UseSMPAssign_v<VT2> >
634  {
636 
640 
641  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
642 
643  const ResultType tmp( rhs );
644  smpAssign( ~lhs, tmp );
645  }
647  //**********************************************************************************************
648 
649  //**SMP addition assignment to dense vectors****************************************************
663  template< typename VT2 > // Type of the target dense vector
664  friend inline auto smpAddAssign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
666  {
668 
669  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
670 
671  // Evaluation of the left-hand side sparse vector operand
672  LT x( rhs.vec_ );
673  if( x.nonZeros() == 0UL ) return;
674 
675  // Evaluation of the right-hand side dense matrix operand
676  RT A( rhs.mat_ );
677 
678  // Checking the evaluated operands
679  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
680  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
681  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
682  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
683 
684  // Performing the sparse vector-dense matrix multiplication
685  smpAddAssign( ~lhs, x * A );
686  }
687  //**********************************************************************************************
688 
689  //**SMP addition assignment to sparse vectors***************************************************
690  // No special implementation for the SMP addition assignment to sparse vectors.
691  //**********************************************************************************************
692 
693  //**SMP subtraction assignment to dense vectors*************************************************
707  template< typename VT2 > // Type of the target dense vector
708  friend inline auto smpSubAssign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
710  {
712 
713  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
714 
715  // Evaluation of the left-hand side sparse vector operand
716  LT x( rhs.vec_ );
717  if( x.nonZeros() == 0UL ) return;
718 
719  // Evaluation of the right-hand side dense matrix operand
720  RT A( rhs.mat_ );
721 
722  // Checking the evaluated operands
723  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
724  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
725  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
726  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
727 
728  // Performing the sparse vector-dense matrix multiplication
729  smpSubAssign( ~lhs, x * A );
730  }
731  //**********************************************************************************************
732 
733  //**SMP subtraction assignment to sparse vectors************************************************
734  // No special implementation for the SMP subtraction assignment to sparse vectors.
735  //**********************************************************************************************
736 
737  //**SMP multiplication assignment to dense vectors**********************************************
752  template< typename VT2 > // Type of the target dense vector
753  friend inline auto smpMultAssign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
755  {
757 
761 
762  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
763 
764  const ResultType tmp( rhs );
765  smpMultAssign( ~lhs, tmp );
766  }
767  //**********************************************************************************************
768 
769  //**SMP multiplication assignment to sparse vectors*********************************************
770  // No special implementation for the SMP multiplication assignment to sparse vectors.
771  //**********************************************************************************************
772 
773  //**SMP division assignment to dense vectors****************************************************
787  template< typename VT2 > // Type of the target dense vector
788  friend inline auto smpDivAssign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
790  {
792 
796 
797  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
798 
799  const ResultType tmp( rhs );
800  smpDivAssign( ~lhs, tmp );
801  }
802  //**********************************************************************************************
803 
804  //**SMP division assignment to sparse vectors***************************************************
805  // No special implementation for the SMP division assignment to sparse vectors.
806  //**********************************************************************************************
807 
808  //**Compile time checks*************************************************************************
818  //**********************************************************************************************
819 };
820 //*************************************************************************************************
821 
822 
823 
824 
825 //=================================================================================================
826 //
827 // GLOBAL BINARY ARITHMETIC OPERATORS
828 //
829 //=================================================================================================
830 
831 //*************************************************************************************************
844 template< typename VT // Type of the left-hand side sparse vector
845  , typename MT // Type of the right-hand side dense matrix
846  , DisableIf_t< IsSymmetric_v<MT> || IsZero_v<VT> >* = nullptr >
847 inline const TSVecTDMatMultExpr<VT,MT>
848  tsvectdmatmult( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
849 {
851 
852  BLAZE_INTERNAL_ASSERT( (~vec).size() == (~mat).rows(), "Invalid vector and matrix sizes" );
853 
854  return TSVecTDMatMultExpr<VT,MT>( ~vec, ~mat );
855 }
857 //*************************************************************************************************
858 
859 
860 //*************************************************************************************************
874 template< typename VT // Type of the left-hand side sparse vector
875  , typename MT // Type of the right-hand side dense matrix
876  , EnableIf_t< IsSymmetric_v<MT> && !IsZero_v<VT> >* = nullptr >
877 inline decltype(auto)
878  tsvectdmatmult( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
879 {
881 
882  BLAZE_INTERNAL_ASSERT( (~vec).size() == (~mat).rows(), "Invalid vector and matrix sizes" );
883 
884  return (~vec) * trans( ~mat );
885 }
887 //*************************************************************************************************
888 
889 
890 //*************************************************************************************************
903 template< typename VT // Type of the left-hand side sparse vector
904  , typename MT // Type of the right-hand side dense matrix
905  , EnableIf_t< IsZero_v<VT> >* = nullptr >
906 inline decltype(auto)
907  tsvectdmatmult( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
908 {
910 
911  UNUSED_PARAMETER( vec );
912 
913  BLAZE_INTERNAL_ASSERT( (~vec).size() == (~mat).rows(), "Invalid vector and matrix sizes" );
914 
915  using ReturnType = const MultTrait_t< ResultType_t<VT>, ResultType_t<MT> >;
916 
919 
920  return ReturnType( (~mat).columns() );
921 }
923 //*************************************************************************************************
924 
925 
926 //*************************************************************************************************
957 template< typename VT // Type of the left-hand side sparse vector
958  , typename MT > // Type of the right-hand side dense matrix
959 inline decltype(auto)
960  operator*( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
961 {
963 
965 
966  if( (~vec).size() != (~mat).rows() ) {
967  BLAZE_THROW_INVALID_ARGUMENT( "Vector and matrix sizes do not match" );
968  }
969 
970  return tsvectdmatmult( ~vec, ~mat );
971 }
972 //*************************************************************************************************
973 
974 
975 
976 
977 //=================================================================================================
978 //
979 // ISALIGNED SPECIALIZATIONS
980 //
981 //=================================================================================================
982 
983 //*************************************************************************************************
985 template< typename VT, typename MT >
986 struct IsAligned< TSVecTDMatMultExpr<VT,MT> >
987  : public IsAligned<MT>
988 {};
990 //*************************************************************************************************
991 
992 } // namespace blaze
993 
994 #endif
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:329
LeftOperand vec_
Left-hand side sparse vector of the multiplication expression.
Definition: TSVecTDMatMultExpr.h:325
#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.
decltype(auto) column(Matrix< MT, SO > &matrix, RCAs... args)
Creating a view on a specific column of the given matrix.
Definition: Column.h:133
Header file for the blaze::checked and blaze::unchecked instances.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TSVecTDMatMultExpr.h:308
Header file for the UNUSED_PARAMETER function template.
Header file for basic type definitions.
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias declaration for the If class template.The If_t alias declaration provides a convenien...
Definition: If.h:109
CompositeType_t< VT > VCT
Composite type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:109
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSVecTDMatMultExpr.h:159
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
Header file for the serial shim.
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:224
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
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSVecTDMatMultExpr.h:160
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:591
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
friend auto smpDivAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP division assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense...
Definition: TSVecTDMatMultExpr.h:788
Constraint on the data type.
Header file for the DenseVector base class.
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSVecTDMatMultExpr.h:254
Header file for the Computation base class.
Header file for the reset shim.
Header file for the RequiresEvaluation type trait.
constexpr void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
If_t< evaluateVector, const VRT, VCT > LT
Type for the assignment of the left-hand side sparse vector operand.
Definition: TSVecTDMatMultExpr.h:172
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:80
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: TSVecTDMatMultExpr.h:264
TSVecTDMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TSVecTDMatMultExpr class.
Definition: TSVecTDMatMultExpr.h:193
If_t< IsExpression_v< MT >, const MT, const MT &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecTDMatMultExpr.h:169
MultTrait_t< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TSVecTDMatMultExpr.h:157
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
CompositeType_t< MT > MCT
Composite type of the right-hand side dense matrix expression.
Definition: TSVecTDMatMultExpr.h:110
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSVecTDMatMultExpr.h:318
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:58
friend auto smpSubAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP subtraction assignment of a transpose sparse vector-transpose dense matrix multiplication to a de...
Definition: TSVecTDMatMultExpr.h:708
Header file for the If class template.
ResultType_t< MT > MRT
Result type of the right-hand side dense matrix expression.
Definition: TSVecTDMatMultExpr.h:108
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is not a zero vector or matrix type...
Definition: Zero.h:61
friend auto smpAddAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP addition assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense...
Definition: TSVecTDMatMultExpr.h:664
#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
If_t< IsExpression_v< VT >, const VT, const VT &> LeftOperand
Composite type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:166
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSVecTDMatMultExpr.h:286
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.
#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.
#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
static constexpr bool evaluateVector
Compilation switch for the composite type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:115
static constexpr bool useAssign
Compilation switch for the evaluation strategy of the multiplication expression.
Definition: TSVecTDMatMultExpr.h:131
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: TSVecTDMatMultExpr.h:180
Constraint on the data type.
Header file for the exception macros of the math module.
Constraint on the data type.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: TSVecTDMatMultExpr.h:274
Header file for all forward declarations for expression class templates.
Constraint on the data type.
friend auto multAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseAssign_v< VT2 > >
Multiplication assignment of a transpose sparse vector-transpose dense matrix multiplication to a den...
Definition: TSVecTDMatMultExpr.h:515
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
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
ResultType_t< VT > VRT
Result type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:107
#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
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
friend auto smpMultAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP multiplication assignment of a transpose sparse vector-transpose dense matrix multiplication to a...
Definition: TSVecTDMatMultExpr.h:753
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the right-hand side dense matrix expression.
Definition: TSVecTDMatMultExpr.h:120
Header file for the IsZero type trait.
Constraint on the data type.
#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
If_t< useAssign, const ResultType, const TSVecTDMatMultExpr &> CompositeType
Data type for composite expression templates.
Definition: TSVecTDMatMultExpr.h:163
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
Header file for the TVecMatMultExpr base class.
Constraint on the data type.
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
RightOperand mat_
Right-hand side dense matrix of the multiplication expression.
Definition: TSVecTDMatMultExpr.h:326
#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
friend auto addAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseAssign_v< VT2 > >
Addition assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense vec...
Definition: TSVecTDMatMultExpr.h:425
Expression object for transpose sparse vector-transpose dense matrix multiplications.The TSVecTDMatMultExpr class represents the compile time expression for multiplications between transpose sparse vectors and column-major dense matrices.
Definition: Forward.h:184
friend auto divAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseAssign_v< VT2 > >
Division assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense vec...
Definition: TSVecTDMatMultExpr.h:551
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSVecTDMatMultExpr.h:158
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSVecTDMatMultExpr.h:183
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
#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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_TVECMATMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid vector/matrix ...
Definition: TVecMatMultExpr.h:104
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
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:138
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSVecTDMatMultExpr.h:298
#define BLAZE_CONSTRAINT_MUST_BE_ROW_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a row dense or sparse vector type (i...
Definition: RowVector.h:61
Header file for the IsUpper type trait.
Constraint on the data type.
If_t< evaluateMatrix, const MRT, MCT > RT
Type for the assignment of the left-hand side dense matrix operand.
Definition: TSVecTDMatMultExpr.h:175
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSVecTDMatMultExpr.h:241
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSVecTDMatMultExpr.h:207
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is a zero vector or matrix type...
Definition: Zero.h:81
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, 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
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
friend auto subAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseAssign_v< VT2 > >
Subtraction assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense ...
Definition: TSVecTDMatMultExpr.h:470