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>
73 #include <blaze/util/Assert.h>
74 #include <blaze/util/DisableIf.h>
75 #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 ) * subvector( column( mat_, index ), begin, n );
221  }
222  else if( IsUpper<MT>::value )
223  {
224  const size_t n( IsStrictlyUpper<MT>::value ? index : index+1UL );
225  return subvector( vec_, 0UL, n ) * subvector( column( mat_, index ), 0UL, n );
226  }
227  else
228  {
229  return vec_ * column( mat_, index );
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 EnableIf_< UseAssign<VT2> >
347  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 EnableIf_< UseAssign<VT2> >
393  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 EnableIf_< UseAssign<VT2> >
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 EnableIf_< UseAssign<VT2> >
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 EnableIf_< UseAssign<VT2> >
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 EnableIf_< UseAssign<VT2> >
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 EnableIf_< UseSMPAssign<VT2> >
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 EnableIf_< UseSMPAssign<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 EnableIf_< UseSMPAssign<VT2> >
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 EnableIf_< UseSMPAssign<VT2> >
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 EnableIf_< UseSMPAssign<VT2> >
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 EnableIf_< UseSMPAssign<VT2> >
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*************************************************************************
817  //**********************************************************************************************
818 };
819 //*************************************************************************************************
820 
821 
822 
823 
824 //=================================================================================================
825 //
826 // GLOBAL BINARY ARITHMETIC OPERATORS
827 //
828 //=================================================================================================
829 
830 //*************************************************************************************************
844 template< typename VT // Type of the left-hand side sparse vector
845  , typename MT // Type of the right-hand side dense matrix
846  , typename = DisableIf_< IsSymmetric<MT> > >
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  , typename = EnableIf_< IsSymmetric<MT> > >
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 //*************************************************************************************************
921 template< typename VT // Type of the left-hand side sparse vector
922  , typename MT > // Type of the right-hand side dense matrix
923 inline decltype(auto)
924  operator*( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
925 {
927 
929 
930  if( (~vec).size() != (~mat).rows() ) {
931  BLAZE_THROW_INVALID_ARGUMENT( "Vector and matrix sizes do not match" );
932  }
933 
934  return tsvectdmatmult( ~vec, ~mat );
935 }
936 //*************************************************************************************************
937 
938 
939 
940 
941 //=================================================================================================
942 //
943 // SIZE SPECIALIZATIONS
944 //
945 //=================================================================================================
946 
947 //*************************************************************************************************
949 template< typename VT, typename MT >
950 struct Size< TSVecTDMatMultExpr<VT,MT> >
951  : public Columns<MT>
952 {};
954 //*************************************************************************************************
955 
956 
957 
958 
959 //=================================================================================================
960 //
961 // ISALIGNED SPECIALIZATIONS
962 //
963 //=================================================================================================
964 
965 //*************************************************************************************************
967 template< typename VT, typename MT >
968 struct IsAligned< TSVecTDMatMultExpr<VT,MT> >
969  : public BoolConstant< IsAligned<MT>::value >
970 {};
972 //*************************************************************************************************
973 
974 } // namespace blaze
975 
976 #endif
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.
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:72
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TSVecTDMatMultExpr.h:308
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:754
Subvector< VT, AF > subvector(Vector< VT, TF > &vector, size_t index, size_t size)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:322
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:552
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
BLAZE_ALWAYS_INLINE MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:198
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:560
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:224
Header file for the DenseVector base class.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
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:254
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:250
Column< MT > column(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific column of the given matrix.
Definition: Column.h:124
Header file for the Computation base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
Header file for the RequiresEvaluation type trait.
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:665
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:78
typename IfTrue< Condition, T1, T2 >::Type IfTrue_
Auxiliary alias declaration for the IfTrue class template.The IfTrue_ alias declaration provides a co...
Definition: If.h:109
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: TSVecTDMatMultExpr.h:264
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:789
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:72
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:318
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:57
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:709
#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
Header file for the Columns type trait.
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:286
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
Header file for the IsLower type trait.
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional vector type...
Definition: SparseVector.h:61
Header file for the IsAligned type trait.
Compile time check for diagonal matrices.This type trait tests whether or not the given template para...
Definition: IsDiagonal.h:90
#define BLAZE_CONSTRAINT_MUST_NOT_BE_MATMATMULTEXPR_TYPE(T)
Constraint on the data type.In case the given data type T is a matrix/matrix multiplication expressio...
Definition: MatMatMultExpr.h:88
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:274
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:426
#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:819
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
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:516
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:324
#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:109
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:790
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 a vector.The Size type trait evaluates the size of the given v...
Definition: Size.h:74
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
Header file for the IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:75
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
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:471
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:241
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.