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>
53 #include <blaze/math/Exception.h>
58 #include <blaze/math/shims/Reset.h>
72 #include <blaze/math/views/Check.h>
74 #include <blaze/util/Assert.h>
75 #include <blaze/util/DisableIf.h>
76 #include <blaze/util/EnableIf.h>
78 #include <blaze/util/mpl/If.h>
79 #include <blaze/util/Types.h>
81 
82 
83 namespace blaze {
84 
85 //=================================================================================================
86 //
87 // CLASS TSVECDMATMULTEXPR
88 //
89 //=================================================================================================
90 
91 //*************************************************************************************************
98 template< typename VT // Type of the left-hand side sparse vector
99  , typename MT > // Type of the right-hand side dense matrix
100 class TSVecTDMatMultExpr
101  : public TVecMatMultExpr< DenseVector< TSVecTDMatMultExpr<VT,MT>, true > >
102  , private Computation
103 {
104  private:
105  //**Type definitions****************************************************************************
110  //**********************************************************************************************
111 
112  //**********************************************************************************************
114  enum : bool { evaluateVector = IsComputation<VT>::value || RequiresEvaluation<VT>::value };
115  //**********************************************************************************************
116 
117  //**********************************************************************************************
119  enum : bool { evaluateMatrix = RequiresEvaluation<MT>::value };
120  //**********************************************************************************************
121 
122  //**********************************************************************************************
124 
130  enum : bool { useAssign = ( evaluateVector || evaluateMatrix ) };
131  //**********************************************************************************************
132 
133  //**********************************************************************************************
135  template< typename VT2 >
137  struct UseAssign {
138  enum : bool { value = useAssign };
139  };
141  //**********************************************************************************************
142 
143  //**********************************************************************************************
145 
149  template< typename T1 >
150  struct UseSMPAssign {
151  enum : bool { value = useAssign };
152  };
154  //**********************************************************************************************
155 
156  public:
157  //**Type definitions****************************************************************************
162  using ReturnType = const ElementType;
163 
166 
168  using LeftOperand = If_< IsExpression<VT>, const VT, const VT& >;
169 
171  using RightOperand = If_< IsExpression<MT>, const MT, const MT& >;
172 
175 
178  //**********************************************************************************************
179 
180  //**Compilation flags***************************************************************************
182  enum : bool { simdEnabled = false };
183 
185  enum : bool { smpAssignable = !evaluateVector && VT::smpAssignable &&
186  !evaluateMatrix && MT::smpAssignable };
187  //**********************************************************************************************
188 
189  //**Constructor*********************************************************************************
195  explicit inline TSVecTDMatMultExpr( const VT& vec, const MT& mat ) noexcept
196  : vec_( vec ) // Left-hand side sparse vector of the multiplication expression
197  , mat_( mat ) // Right-hand side dense matrix of the multiplication expression
198  {
199  BLAZE_INTERNAL_ASSERT( vec_.size() == mat_.rows(), "Invalid vector and matrix sizes" );
200  }
201  //**********************************************************************************************
202 
203  //**Subscript operator**************************************************************************
209  inline ReturnType operator[]( size_t index ) const {
210  BLAZE_INTERNAL_ASSERT( index < mat_.columns(), "Invalid vector access index" );
211 
213  {
214  return vec_[index] * mat_(index,index);
215  }
216  else if( IsLower<MT>::value )
217  {
218  const size_t begin( IsStrictlyLower<MT>::value ? index+1UL : index );
219  const size_t n ( mat_.rows() - begin );
220  return subvector( vec_, begin, n, unchecked ) *
221  subvector( column( mat_, index, unchecked ), begin, n, unchecked );
222  }
223  else if( IsUpper<MT>::value )
224  {
225  const size_t n( IsStrictlyUpper<MT>::value ? index : index+1UL );
226  return subvector( vec_, 0UL, n, unchecked ) *
227  subvector( column( mat_, index, unchecked ), 0UL, n, unchecked );
228  }
229  else
230  {
231  return vec_ * column( mat_, index, unchecked );
232  }
233  }
234  //**********************************************************************************************
235 
236  //**At function*********************************************************************************
243  inline ReturnType at( size_t index ) const {
244  if( index >= mat_.columns() ) {
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_.columns();
258  }
259  //**********************************************************************************************
260 
261  //**Left operand access*************************************************************************
266  inline LeftOperand leftOperand() const noexcept {
267  return vec_;
268  }
269  //**********************************************************************************************
270 
271  //**Right operand access************************************************************************
276  inline RightOperand rightOperand() const noexcept {
277  return mat_;
278  }
279  //**********************************************************************************************
280 
281  //**********************************************************************************************
287  template< typename T >
288  inline bool canAlias( const T* alias ) const noexcept {
289  return vec_.isAliased( alias ) || mat_.isAliased( alias );
290  }
291  //**********************************************************************************************
292 
293  //**********************************************************************************************
299  template< typename T >
300  inline bool isAliased( const T* alias ) const noexcept {
301  return vec_.isAliased( alias ) || mat_.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_TSVECTDMATMULT_THRESHOLD );
322  }
323  //**********************************************************************************************
324 
325  private:
326  //**Member variables****************************************************************************
329  //**********************************************************************************************
330 
331  //**Assignment to dense vectors*****************************************************************
347  template< typename VT2 > // Type of the target dense vector
348  friend inline EnableIf_< UseAssign<VT2> >
349  assign( DenseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& rhs )
350  {
352 
353  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
354 
355  // Evaluation of the left-hand side sparse vector operand
356  LT x( serial( rhs.vec_ ) );
357  if( x.nonZeros() == 0UL ) {
358  reset( ~lhs );
359  return;
360  }
361 
362  // Evaluation of the right-hand side dense matrix operand
363  RT A( serial( rhs.mat_ ) );
364 
365  // Checking the evaluated operands
366  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
367  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
368  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
369  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
370 
371  // Performing the sparse vector-dense matrix multiplication
372  assign( ~lhs, x * A );
373  }
375  //**********************************************************************************************
376 
377  //**Assignment to sparse vectors****************************************************************
393  template< typename VT2 > // Type of the target sparse vector
394  friend inline EnableIf_< UseAssign<VT2> >
395  assign( SparseVector<VT2,true>& lhs, const TSVecTDMatMultExpr& 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********************************************************
426  template< typename VT2 > // Type of the target dense vector
427  friend inline EnableIf_< UseAssign<VT2> >
429  {
431 
432  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
433 
434  // Evaluation of the left-hand side sparse vector operand
435  LT x( serial( rhs.vec_ ) );
436  if( x.nonZeros() == 0UL ) return;
437 
438  // Evaluation of the right-hand side dense matrix operand
439  RT A( serial( rhs.mat_ ) );
440 
441  // Checking the evaluated operands
442  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
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( A.columns() == (~lhs).size() , "Invalid vector size" );
446 
447  // Performing the sparse vector-dense matrix multiplication
448  addAssign( ~lhs, x * A );
449  }
450  //**********************************************************************************************
451 
452  //**Addition assignment to sparse vectors*******************************************************
453  // No special implementation for the addition assignment to sparse vectors.
454  //**********************************************************************************************
455 
456  //**Subtraction assignment to dense vectors*****************************************************
471  template< typename VT2 > // Type of the target dense vector
472  friend inline EnableIf_< UseAssign<VT2> >
474  {
476 
477  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
478 
479  // Evaluation of the left-hand side sparse vector operand
480  LT x( serial( rhs.vec_ ) );
481  if( x.nonZeros() == 0UL ) return;
482 
483  // Evaluation of the right-hand side dense matrix operand
484  RT A( serial( rhs.mat_ ) );
485 
486  // Checking the evaluated operands
487  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
488  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
489  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
490  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
491 
492  // Performing the sparse vector-dense matrix multiplication
493  subAssign( ~lhs, x * A );
494  }
495  //**********************************************************************************************
496 
497  //**Subtraction assignment to sparse vectors****************************************************
498  // No special implementation for the subtraction assignment to sparse vectors.
499  //**********************************************************************************************
500 
501  //**Multiplication assignment to dense vectors**************************************************
516  template< typename VT2 > // Type of the target dense vector
517  friend inline EnableIf_< UseAssign<VT2> >
519  {
521 
525 
526  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
527 
528  const ResultType tmp( serial( rhs ) );
529  multAssign( ~lhs, tmp );
530  }
531  //**********************************************************************************************
532 
533  //**Multiplication assignment to sparse vectors*************************************************
534  // No special implementation for the multiplication assignment to sparse vectors.
535  //**********************************************************************************************
536 
537  //**Division assignment to dense vectors********************************************************
552  template< typename VT2 > // Type of the target dense vector
553  friend inline EnableIf_< UseAssign<VT2> >
555  {
557 
561 
562  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
563 
564  const ResultType tmp( serial( rhs ) );
565  divAssign( ~lhs, tmp );
566  }
567  //**********************************************************************************************
568 
569  //**Division assignment to sparse vectors*******************************************************
570  // No special implementation for the division assignment to sparse vectors.
571  //**********************************************************************************************
572 
573  //**SMP assignment to dense vectors*************************************************************
588  template< typename VT2 > // Type of the target dense vector
589  friend inline EnableIf_< UseSMPAssign<VT2> >
591  {
593 
594  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
595 
596  // Evaluation of the left-hand side sparse vector operand
597  LT x( rhs.vec_ );
598  if( x.nonZeros() == 0UL ) {
599  reset( ~lhs );
600  return;
601  }
602 
603  // Evaluation of the right-hand side dense matrix operand
604  RT A( rhs.mat_ );
605 
606  // Checking the evaluated operands
607  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
608  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
609  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
610  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
611 
612  // Performing the sparse vector-dense matrix multiplication
613  smpAssign( ~lhs, x * A );
614  }
616  //**********************************************************************************************
617 
618  //**SMP assignment to sparse vectors************************************************************
633  template< typename VT2 > // Type of the target sparse vector
634  friend inline EnableIf_< UseSMPAssign<VT2> >
636  {
638 
642 
643  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
644 
645  const ResultType tmp( rhs );
646  smpAssign( ~lhs, tmp );
647  }
649  //**********************************************************************************************
650 
651  //**SMP addition assignment to dense vectors****************************************************
665  template< typename VT2 > // Type of the target dense vector
666  friend inline EnableIf_< UseSMPAssign<VT2> >
668  {
670 
671  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
672 
673  // Evaluation of the left-hand side sparse vector operand
674  LT x( rhs.vec_ );
675  if( x.nonZeros() == 0UL ) return;
676 
677  // Evaluation of the right-hand side dense matrix operand
678  RT A( rhs.mat_ );
679 
680  // Checking the evaluated operands
681  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
682  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
683  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
684  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
685 
686  // Performing the sparse vector-dense matrix multiplication
687  smpAddAssign( ~lhs, x * A );
688  }
689  //**********************************************************************************************
690 
691  //**SMP addition assignment to sparse vectors***************************************************
692  // No special implementation for the SMP addition assignment to sparse vectors.
693  //**********************************************************************************************
694 
695  //**SMP subtraction assignment to dense vectors*************************************************
709  template< typename VT2 > // Type of the target dense vector
710  friend inline EnableIf_< UseSMPAssign<VT2> >
712  {
714 
715  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
716 
717  // Evaluation of the left-hand side sparse vector operand
718  LT x( rhs.vec_ );
719  if( x.nonZeros() == 0UL ) return;
720 
721  // Evaluation of the right-hand side dense matrix operand
722  RT A( rhs.mat_ );
723 
724  // Checking the evaluated operands
725  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
726  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
727  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
728  BLAZE_INTERNAL_ASSERT( A.columns() == (~lhs).size() , "Invalid vector size" );
729 
730  // Performing the sparse vector-dense matrix multiplication
731  smpSubAssign( ~lhs, x * A );
732  }
733  //**********************************************************************************************
734 
735  //**SMP subtraction assignment to sparse vectors************************************************
736  // No special implementation for the SMP subtraction assignment to sparse vectors.
737  //**********************************************************************************************
738 
739  //**SMP multiplication assignment to dense vectors**********************************************
754  template< typename VT2 > // Type of the target dense vector
755  friend inline EnableIf_< UseSMPAssign<VT2> >
757  {
759 
763 
764  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
765 
766  const ResultType tmp( rhs );
767  smpMultAssign( ~lhs, tmp );
768  }
769  //**********************************************************************************************
770 
771  //**SMP multiplication assignment to sparse vectors*********************************************
772  // No special implementation for the SMP multiplication assignment to sparse vectors.
773  //**********************************************************************************************
774 
775  //**SMP division assignment to dense vectors****************************************************
789  template< typename VT2 > // Type of the target dense vector
790  friend inline EnableIf_< UseSMPAssign<VT2> >
792  {
794 
798 
799  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
800 
801  const ResultType tmp( rhs );
802  smpDivAssign( ~lhs, tmp );
803  }
804  //**********************************************************************************************
805 
806  //**SMP division assignment to sparse vectors***************************************************
807  // No special implementation for the SMP division assignment to sparse vectors.
808  //**********************************************************************************************
809 
810  //**Compile time checks*************************************************************************
819  //**********************************************************************************************
820 };
821 //*************************************************************************************************
822 
823 
824 
825 
826 //=================================================================================================
827 //
828 // GLOBAL BINARY ARITHMETIC OPERATORS
829 //
830 //=================================================================================================
831 
832 //*************************************************************************************************
846 template< typename VT // Type of the left-hand side sparse vector
847  , typename MT // Type of the right-hand side dense matrix
848  , typename = DisableIf_< IsSymmetric<MT> > >
849 inline const TSVecTDMatMultExpr<VT,MT>
850  tsvectdmatmult( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
851 {
853 
854  BLAZE_INTERNAL_ASSERT( (~vec).size() == (~mat).rows(), "Invalid vector and matrix sizes" );
855 
856  return TSVecTDMatMultExpr<VT,MT>( ~vec, ~mat );
857 }
859 //*************************************************************************************************
860 
861 
862 //*************************************************************************************************
876 template< typename VT // Type of the left-hand side sparse vector
877  , typename MT // Type of the right-hand side dense matrix
878  , typename = EnableIf_< IsSymmetric<MT> > >
879 inline decltype(auto)
880  tsvectdmatmult( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
881 {
883 
884  BLAZE_INTERNAL_ASSERT( (~vec).size() == (~mat).rows(), "Invalid vector and matrix sizes" );
885 
886  return (~vec) * trans( ~mat );
887 }
889 //*************************************************************************************************
890 
891 
892 //*************************************************************************************************
923 template< typename VT // Type of the left-hand side sparse vector
924  , typename MT > // Type of the right-hand side dense matrix
925 inline decltype(auto)
926  operator*( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
927 {
929 
931 
932  if( (~vec).size() != (~mat).rows() ) {
933  BLAZE_THROW_INVALID_ARGUMENT( "Vector and matrix sizes do not match" );
934  }
935 
936  return tsvectdmatmult( ~vec, ~mat );
937 }
938 //*************************************************************************************************
939 
940 
941 
942 
943 //=================================================================================================
944 //
945 // SIZE SPECIALIZATIONS
946 //
947 //=================================================================================================
948 
949 //*************************************************************************************************
951 template< typename VT, typename MT >
952 struct Size< TSVecTDMatMultExpr<VT,MT>, 0UL >
953  : public Size<MT,1UL>
954 {};
956 //*************************************************************************************************
957 
958 
959 
960 
961 //=================================================================================================
962 //
963 // ISALIGNED SPECIALIZATIONS
964 //
965 //=================================================================================================
966 
967 //*************************************************************************************************
969 template< typename VT, typename MT >
970 struct IsAligned< TSVecTDMatMultExpr<VT,MT> >
971  : public IsAligned<MT>
972 {};
974 //*************************************************************************************************
975 
976 } // namespace blaze
977 
978 #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:327
#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:131
Header file for the blaze::checked and blaze::unchecked instances.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:71
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TSVecTDMatMultExpr.h:310
ElementType_< ResultType > ElementType
Resulting element type.
Definition: TSVecTDMatMultExpr.h:161
Header file for basic type definitions.
CompositeType_< MT > MCT
Composite type of the right-hand side dense matrix expression.
Definition: TSVecTDMatMultExpr.h:109
friend EnableIf_< UseSMPAssign< VT2 > > smpMultAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs)
SMP multiplication assignment of a transpose sparse vector-transpose dense matrix multiplication to a...
Definition: TSVecTDMatMultExpr.h:756
Header file for the serial shim.
friend EnableIf_< UseAssign< VT2 > > divAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs)
Division assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense vec...
Definition: TSVecTDMatMultExpr.h:554
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
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:364
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSVecTDMatMultExpr.h:162
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:588
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
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:87
CompositeType_< VT > VCT
Composite type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:108
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSVecTDMatMultExpr.h:256
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:291
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:87
Header file for the RequiresEvaluation type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:343
friend EnableIf_< UseSMPAssign< VT2 > > smpAddAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs)
SMP addition assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense...
Definition: TSVecTDMatMultExpr.h:667
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:80
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: TSVecTDMatMultExpr.h:266
friend EnableIf_< UseSMPAssign< VT2 > > smpDivAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs)
SMP division assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense...
Definition: TSVecTDMatMultExpr.h:791
TSVecTDMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TSVecTDMatMultExpr class.
Definition: TSVecTDMatMultExpr.h:195
MultTrait_< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TSVecTDMatMultExpr.h:159
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSVecTDMatMultExpr.h:160
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:71
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSVecTDMatMultExpr.h:320
IfTrue_< evaluateMatrix, const MRT, MCT > RT
Type for the assignment of the left-hand side dense matrix operand.
Definition: TSVecTDMatMultExpr.h:177
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
Header file for the If class template.
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a column-major dense or sparse matri...
Definition: ColumnMajorMatrix.h:61
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
friend EnableIf_< UseSMPAssign< VT2 > > smpSubAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs)
SMP subtraction assignment of a transpose sparse vector-transpose dense matrix multiplication to a de...
Definition: TSVecTDMatMultExpr.h:711
#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
IfTrue_< evaluateVector, const VRT, VCT > LT
Type for the assignment of the left-hand side sparse vector operand.
Definition: TSVecTDMatMultExpr.h:174
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSVecTDMatMultExpr.h:288
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.
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:89
#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:87
Constraint on the data type.
Header file for the exception macros of the math module.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Constraint on the data type.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: TSVecTDMatMultExpr.h:276
Header file for all forward declarations for expression class templates.
Constraint on the data type.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
If_< IsExpression< MT >, const MT, const MT &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecTDMatMultExpr.h:171
friend EnableIf_< UseAssign< VT2 > > addAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs)
Addition assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense vec...
Definition: TSVecTDMatMultExpr.h:428
#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
Header file for run time assertion macros.
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
Header file for the reset shim.
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
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:816
RightOperand mat_
Right-hand side dense matrix of the multiplication expression.
Definition: TSVecTDMatMultExpr.h:328
#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
friend EnableIf_< UseAssign< VT2 > > multAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs)
Multiplication assignment of a transpose sparse vector-transpose dense matrix multiplication to a den...
Definition: TSVecTDMatMultExpr.h:518
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
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:175
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:490
#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:108
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:789
ResultType_< MT > MRT
Result type of the right-hand side dense matrix expression.
Definition: TSVecTDMatMultExpr.h:107
Header file for the IsComputation type trait class.
Compile time evaluation of the size of vectors and matrices.The Size type trait evaluates the size of...
Definition: Size.h:80
ResultType_< VT > VRT
Result type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:106
If_< IsExpression< VT >, const VT, const VT &> LeftOperand
Composite type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:168
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:130
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSVecTDMatMultExpr.h:300
#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
friend EnableIf_< UseAssign< VT2 > > subAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs)
Subtraction assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense ...
Definition: TSVecTDMatMultExpr.h:473
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.
Constraint on the data type.
IfTrue_< useAssign, const ResultType, const TSVecTDMatMultExpr &> CompositeType
Data type for composite expression templates.
Definition: TSVecTDMatMultExpr.h:165
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSVecTDMatMultExpr.h:243
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSVecTDMatMultExpr.h:209
Header file for the Size type trait.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.