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DMatSVecMultExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSVECMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_DMATSVECMULTEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <stdexcept>
56 #include <blaze/math/shims/Reset.h>
70 #include <blaze/util/Assert.h>
72 #include <blaze/util/DisableIf.h>
73 #include <blaze/util/EnableIf.h>
75 #include <blaze/util/mpl/Or.h>
76 #include <blaze/util/SelectType.h>
77 #include <blaze/util/Types.h>
79 
80 
81 namespace blaze {
82 
83 //=================================================================================================
84 //
85 // CLASS DMATSVECMULTEXPR
86 //
87 //=================================================================================================
88 
89 //*************************************************************************************************
96 template< typename MT // Type of the left-hand side dense matrix
97  , typename VT > // Type of the right-hand side sparse vector
98 class DMatSVecMultExpr : public DenseVector< DMatSVecMultExpr<MT,VT>, false >
99  , private MatVecMultExpr
100  , private Computation
101 {
102  private:
103  //**Type definitions****************************************************************************
104  typedef typename MT::ResultType MRT;
105  typedef typename VT::ResultType VRT;
106  typedef typename MT::CompositeType MCT;
107  typedef typename VT::CompositeType VCT;
108  //**********************************************************************************************
109 
110  //**********************************************************************************************
112  enum { evaluateMatrix = RequiresEvaluation<MT>::value };
113  //**********************************************************************************************
114 
115  //**********************************************************************************************
117  enum { evaluateVector = IsComputation<VT>::value || RequiresEvaluation<VT>::value };
118  //**********************************************************************************************
119 
120  //**********************************************************************************************
122 
128  enum { useAssign = evaluateMatrix || evaluateVector };
129  //**********************************************************************************************
130 
131  //**********************************************************************************************
133  template< typename VT2 >
135  struct UseAssign {
136  enum { value = useAssign };
137  };
139  //**********************************************************************************************
140 
141  //**********************************************************************************************
143 
147  template< typename T1 >
148  struct UseSMPAssign {
149  enum { value = useAssign };
150  };
152  //**********************************************************************************************
153 
154  public:
155  //**Type definitions****************************************************************************
160  typedef const ElementType ReturnType;
161 
164 
166  typedef typename SelectType< IsExpression<MT>::value, const MT, const MT& >::Type LeftOperand;
167 
169  typedef typename SelectType< IsExpression<VT>::value, const VT, const VT& >::Type RightOperand;
170 
173 
176  //**********************************************************************************************
177 
178  //**Compilation flags***************************************************************************
180  enum { vectorizable = 0 };
181 
183  enum { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
184  !evaluateVector && VT::smpAssignable };
185  //**********************************************************************************************
186 
187  //**Constructor*********************************************************************************
193  explicit inline DMatSVecMultExpr( const MT& mat, const VT& vec )
194  : mat_( mat ) // Left-hand side dense matrix of the multiplication expression
195  , vec_( vec ) // Right-hand side sparse vector of the multiplication expression
196  {
197  BLAZE_INTERNAL_ASSERT( mat_.columns() == vec_.size(), "Invalid matrix and vector sizes" );
198  }
199  //**********************************************************************************************
200 
201  //**Subscript operator**************************************************************************
207  inline ReturnType operator[]( size_t index ) const {
208  BLAZE_INTERNAL_ASSERT( index < mat_.rows(), "Invalid vector access index" );
209 
211 
212  VCT x( vec_ ); // Evaluation of the right-hand side sparse vector operand
213 
214  BLAZE_INTERNAL_ASSERT( x.size() == vec_.size(), "Invalid vector size" );
215 
216  ConstIterator element( x.begin() );
217  ElementType res;
218 
219  if( element != x.end() ) {
220  res = mat_( index, element->index() ) * element->value();
221  ++element;
222  for( ; element!=x.end(); ++element )
223  res += mat_( index, element->index() ) * element->value();
224  }
225  else {
226  reset( res );
227  }
228 
229  return res;
230  }
231  //**********************************************************************************************
232 
233  //**Size function*******************************************************************************
238  inline size_t size() const {
239  return mat_.rows();
240  }
241  //**********************************************************************************************
242 
243  //**Left operand access*************************************************************************
248  inline LeftOperand leftOperand() const {
249  return mat_;
250  }
251  //**********************************************************************************************
252 
253  //**Right operand access************************************************************************
258  inline RightOperand rightOperand() const {
259  return vec_;
260  }
261  //**********************************************************************************************
262 
263  //**********************************************************************************************
269  template< typename T >
270  inline bool canAlias( const T* alias ) const {
271  return mat_.isAliased( alias ) || vec_.isAliased( alias );
272  }
273  //**********************************************************************************************
274 
275  //**********************************************************************************************
281  template< typename T >
282  inline bool isAliased( const T* alias ) const {
283  return mat_.isAliased( alias ) || vec_.isAliased( alias );
284  }
285  //**********************************************************************************************
286 
287  //**********************************************************************************************
292  inline bool isAligned() const {
293  return mat_.isAligned();
294  }
295  //**********************************************************************************************
296 
297  //**********************************************************************************************
302  inline bool canSMPAssign() const {
303  return ( size() > SMP_DMATSVECMULT_THRESHOLD );
304  }
305  //**********************************************************************************************
306 
307  private:
308  //**Member variables****************************************************************************
311  //**********************************************************************************************
312 
313  //**Assignment to dense vectors*****************************************************************
329  template< typename VT1 > // Type of the target dense vector
330  friend inline typename EnableIf< UseAssign<VT1> >::Type
332  {
334 
335  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
336 
338 
339  // Evaluation of the right-hand side sparse vector operand
340  RT x( serial( rhs.vec_ ) );
341  if( x.nonZeros() == 0UL ) {
342  reset( ~lhs );
343  return;
344  }
345 
346  // Evaluation of the left-hand side dense matrix operand
347  LT A( serial( rhs.mat_ ) );
348 
349  // Checking the evaluated operands
350  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
351  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
352  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
353  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
354 
355  // Performing the dense matrix-sparse vector multiplication
356  assign( ~lhs, A * x );
357  }
359  //**********************************************************************************************
360 
361  //**Assignment to sparse vectors****************************************************************
377  template< typename VT1 > // Type of the target sparse vector
378  friend inline typename EnableIf< UseAssign<VT1> >::Type
380  {
382 
386 
387  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
388 
389  const ResultType tmp( serial( rhs ) );
390  assign( ~lhs, tmp );
391  }
393  //**********************************************************************************************
394 
395  //**Addition assignment to dense vectors********************************************************
411  template< typename VT1 > // Type of the target dense vector
412  friend inline typename EnableIf< UseAssign<VT1> >::Type
413  addAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
414  {
416 
417  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
418 
420 
421  // Evaluation of the right-hand side sparse vector operand
422  RT x( serial( rhs.vec_ ) );
423  if( x.nonZeros() == 0UL ) return;
424 
425  // Evaluation of the left-hand side dense matrix operand
426  LT A( serial( rhs.mat_ ) );
427 
428  // Checking the evaluated operands
429  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
430  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
431  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
432  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
433 
434  // Performing the dense matrix-sparse vector multiplication
435  addAssign( ~lhs, A * x );
436  }
438  //**********************************************************************************************
439 
440  //**Addition assignment to sparse vectors*******************************************************
441  // No special implementation for the addition assignment to sparse vectors.
442  //**********************************************************************************************
443 
444  //**Subtraction assignment to dense vectors*****************************************************
460  template< typename VT1 > // Type of the target dense vector
461  friend inline typename EnableIf< UseAssign<VT1> >::Type
462  subAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
463  {
465 
466  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
467 
469 
470  // Evaluation of the right-hand side sparse vector operand
471  RT x( serial( rhs.vec_ ) );
472  if( x.nonZeros() == 0UL ) return;
473 
474  // Evaluation of the left-hand side dense matrix operand
475  LT A( serial( rhs.mat_ ) );
476 
477  // Checking the evaluated operands
478  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
479  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
480  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
481  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
482 
483  // Performing the dense matrix-sparse vector multiplication
484  subAssign( ~lhs, A * x );
485  }
487  //**********************************************************************************************
488 
489  //**Subtraction assignment to sparse vectors****************************************************
490  // No special implementation for the subtraction assignment to sparse vectors.
491  //**********************************************************************************************
492 
493  //**Multiplication assignment to dense vectors**************************************************
509  template< typename VT1 > // Type of the target dense vector
510  friend inline typename EnableIf< UseAssign<VT1> >::Type
511  multAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
512  {
514 
518 
519  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
520 
521  const ResultType tmp( serial( rhs ) );
522  multAssign( ~lhs, tmp );
523  }
525  //**********************************************************************************************
526 
527  //**Addition assignment to sparse vectors*******************************************************
528  // No special implementation for the multiplication assignment to sparse vectors.
529  //**********************************************************************************************
530 
531  //**SMP assignment to dense vectors*************************************************************
546  template< typename VT1 > // Type of the target dense vector
547  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
548  smpAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
549  {
551 
552  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
553 
555 
556  // Evaluation of the right-hand side sparse vector operand
557  RT x( rhs.vec_ );
558  if( x.nonZeros() == 0UL ) {
559  reset( ~lhs );
560  return;
561  }
562 
563  // Evaluation of the left-hand side dense matrix operand
564  LT A( rhs.mat_ );
565 
566  // Checking the evaluated operands
567  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
568  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
569  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
570  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
571 
572  // Performing the dense matrix-sparse vector multiplication
573  smpAssign( ~lhs, A * x );
574  }
576  //**********************************************************************************************
577 
578  //**SMP assignment to sparse vectors************************************************************
593  template< typename VT1 > // Type of the target sparse vector
594  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
595  smpAssign( SparseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
596  {
598 
602 
603  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
604 
605  const ResultType tmp( rhs );
606  smpAssign( ~lhs, tmp );
607  }
609  //**********************************************************************************************
610 
611  //**SMP addition assignment to dense vectors****************************************************
626  template< typename VT1 > // Type of the target dense vector
627  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
628  smpAddAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
629  {
631 
632  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
633 
635 
636  // Evaluation of the right-hand side sparse vector operand
637  RT x( rhs.vec_ );
638  if( x.nonZeros() == 0UL ) return;
639 
640  // Evaluation of the left-hand side dense matrix operand
641  LT A( rhs.mat_ );
642 
643  // Checking the evaluated operands
644  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
645  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
646  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
647  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
648 
649  // Performing the dense matrix-sparse vector multiplication
650  smpAddAssign( ~lhs, A * x );
651  }
653  //**********************************************************************************************
654 
655  //**SMP addition assignment to sparse vectors***************************************************
656  // No special implementation for the SMP addition assignment to sparse vectors.
657  //**********************************************************************************************
658 
659  //**SMP subtraction assignment to dense vectors*************************************************
674  template< typename VT1 > // Type of the target dense vector
675  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
676  smpSubAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
677  {
679 
680  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
681 
683 
684  // Evaluation of the right-hand side sparse vector operand
685  RT x( rhs.vec_ );
686  if( x.nonZeros() == 0UL ) return;
687 
688  // Evaluation of the left-hand side dense matrix operand
689  LT A( rhs.mat_ );
690 
691  // Checking the evaluated operands
692  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
693  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
694  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
695  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
696 
697  // Performing the dense matrix-sparse vector multiplication
698  smpSubAssign( ~lhs, A * x );
699  }
701  //**********************************************************************************************
702 
703  //**SMP subtraction assignment to sparse vectors************************************************
704  // No special implementation for the SMP subtraction assignment to sparse vectors.
705  //**********************************************************************************************
706 
707  //**SMP multiplication assignment to dense vectors**********************************************
722  template< typename VT1 > // Type of the target dense vector
723  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
724  smpMultAssign( DenseVector<VT1,false>& lhs, const DMatSVecMultExpr& rhs )
725  {
727 
731 
732  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
733 
734  const ResultType tmp( rhs );
735  smpMultAssign( ~lhs, tmp );
736  }
738  //**********************************************************************************************
739 
740  //**SMP multiplication assignment to sparse vectors*********************************************
741  // No special implementation for the SMP multiplication assignment to sparse vectors.
742  //**********************************************************************************************
743 
744  //**Compile time checks*************************************************************************
752  //**********************************************************************************************
753 };
754 //*************************************************************************************************
755 
756 
757 
758 
759 //=================================================================================================
760 //
761 // GLOBAL BINARY ARITHMETIC OPERATORS
762 //
763 //=================================================================================================
764 
765 //*************************************************************************************************
797 template< typename T1 // Type of the left-hand side dense matrix
798  , typename T2 > // Type of the right-hand side sparse vector
799 inline const typename DisableIf< Or< IsSymmetric<T1>, IsMatMatMultExpr<T1> >
800  , DMatSVecMultExpr<T1,T2> >::Type
802 {
804 
805  if( (~mat).columns() != (~vec).size() )
806  throw std::invalid_argument( "Matrix and vector sizes do not match" );
807 
808  return DMatSVecMultExpr<T1,T2>( ~mat, ~vec );
809 }
810 //*************************************************************************************************
811 
812 
813 
814 
815 //=================================================================================================
816 //
817 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
818 //
819 //=================================================================================================
820 
821 //*************************************************************************************************
836 template< typename T1 // Type of the left-hand side dense matrix
837  , typename T2 > // Type of the right-hand side sparse vector
838 inline const typename EnableIf< IsSymmetric<T1>, typename MultExprTrait<T1,T2>::Type >::Type
839  operator*( const DenseMatrix<T1,false>& mat, const SparseVector<T2,false>& vec )
840 {
842 
844 
845  if( (~mat).columns() != (~vec).size() )
846  throw std::invalid_argument( "Matrix and vector sizes do not match" );
847 
848  return trans( ~mat ) * (~vec);
849 }
851 //*************************************************************************************************
852 
853 
854 //*************************************************************************************************
868 template< typename T1 // Type of the left-hand side dense matrix
869  , bool SO // Storage order of the left-hand side dense matrix
870  , typename T2 > // Type of the right-hand side sparse vector
871 inline const typename EnableIf< IsMatMatMultExpr<T1>, typename MultExprTrait<T1,T2>::Type >::Type
872  operator*( const DenseMatrix<T1,SO>& mat, const SparseVector<T2,false>& vec )
873 {
875 
877 
878  return (~mat).leftOperand() * ( (~mat).rightOperand() * vec );
879 }
881 //*************************************************************************************************
882 
883 
884 
885 
886 //=================================================================================================
887 //
888 // SIZE SPECIALIZATIONS
889 //
890 //=================================================================================================
891 
892 //*************************************************************************************************
894 template< typename MT, typename VT >
895 struct Size< DMatSVecMultExpr<MT,VT> >
896  : public Rows<MT>
897 {};
899 //*************************************************************************************************
900 
901 
902 
903 
904 //=================================================================================================
905 //
906 // EXPRESSION TRAIT SPECIALIZATIONS
907 //
908 //=================================================================================================
909 
910 //*************************************************************************************************
912 template< typename MT, typename VT, bool AF >
913 struct SubvectorExprTrait< DMatSVecMultExpr<MT,VT>, AF >
914 {
915  public:
916  //**********************************************************************************************
917  typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT,AF>::Type, VT >::Type Type;
918  //**********************************************************************************************
919 };
921 //*************************************************************************************************
922 
923 } // namespace blaze
924 
925 #endif
bool isAligned() const
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatSVecMultExpr.h:292
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:89
BLAZE_ALWAYS_INLINE void multAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the multiplication assignment of a matrix to a matrix.
Definition: Matrix.h:879
Header file for the Rows type trait.
const DMatDMatMultExpr< T1, T2 > operator*(const DenseMatrix< T1, false > &lhs, const DenseMatrix< T2, false > &rhs)
Multiplication operator for the multiplication of two row-major dense matrices ( ).
Definition: DMatDMatMultExpr.h:4838
DMatSVecMultExpr< MT, VT > This
Type of this DMatSVecMultExpr instance.
Definition: DMatSVecMultExpr.h:156
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector)
Returns the current size/dimension of the vector.
Definition: Vector.h:258
LeftOperand leftOperand() const
Returns the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:248
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a column dense or sparse vector type...
Definition: TransposeFlag.h:159
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:205
#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:79
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2478
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:257
MultTrait< MRT, VRT >::Type ResultType
Result type for expression template evaluations.
Definition: DMatSVecMultExpr.h:157
Header file for the DenseVector base class.
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:695
Header file for the Computation base class.
Header file for the RequiresEvaluation type trait.
LeftOperand mat_
Left-hand side dense matrix of the multiplication expression.
Definition: DMatSVecMultExpr.h:309
VT::ResultType VRT
Result type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:105
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Constraint on the data type.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: DMatSVecMultExpr.h:158
Constraint on the data type.
Header file for the MultExprTrait class template.
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:90
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:259
Expression object for dense matrix-sparse vector multiplications.The DMatSVecMultExpr class represent...
Definition: DMatSVecMultExpr.h:98
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
Header file for the DisableIf class template.
Header file for the multiplication trait.
Header file for the IsSymmetric type trait.
SelectType< evaluateVector, const VRT, VCT >::Type RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:175
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2482
Header file for the Or class template.
Header file for the IsMatMatMultExpr type trait class.
BLAZE_ALWAYS_INLINE void assign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the assignment of a matrix to a matrix.
Definition: Matrix.h:635
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: DMatSVecMultExpr.h:310
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
#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:79
SelectType< IsExpression< VT >::value, const VT, const VT & >::Type RightOperand
Composite type of the right-hand side dense vector expression.
Definition: DMatSVecMultExpr.h:169
Constraint on the data type.
Base class for all matrix/vector multiplication expression templates.The MatVecMultExpr class serves ...
Definition: MatVecMultExpr.h:66
#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:126
RightOperand rightOperand() const
Returns the right-hand side sparse vector operand.
Definition: DMatSVecMultExpr.h:258
#define BLAZE_CONSTRAINT_MUST_BE_REFERENCE_TYPE(T)
Constraint on the data type.In case the given data type T is not a reference type, a compilation error is created.
Definition: Reference.h:78
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATVECMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/vector ...
Definition: MatVecMultExpr.h:166
Constraints on the storage order of matrix types.
Constraint on the data type.
Header file for the SelectType class template.
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 serial shim.
MT::CompositeType MCT
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:106
EnableIf< IsDenseMatrix< MT1 > >::Type smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:116
Header file for the SubmatrixExprTrait class template.
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a row-major dense or sparse matrix t...
Definition: StorageOrder.h:81
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
size_t size() const
Returns the current size/dimension of the vector.
Definition: DMatSVecMultExpr.h:238
Header file for run time assertion macros.
EnableIf< IsDenseMatrix< MT1 > >::Type 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:98
Base template for the MultTrait class.
Definition: MultTrait.h:142
BLAZE_ALWAYS_INLINE void addAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the addition assignment of a matrix to a matrix.
Definition: Matrix.h:742
SelectType< IsExpression< MT >::value, const MT, const MT & >::Type LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:166
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
ResultType::ElementType ElementType
Resulting element type.
Definition: DMatSVecMultExpr.h:159
Header file for the reset shim.
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: DMatSVecMultExpr.h:270
Constraint on the data type.
BLAZE_ALWAYS_INLINE void reset(const NonNumericProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: NonNumericProxy.h:833
Header file for the RemoveReference type trait.
const size_t SMP_DMATSVECMULT_THRESHOLD
SMP row-major dense matrix/sparse vector multiplication threshold.This threshold specifies when a row...
Definition: Thresholds.h:414
#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:79
const ElementType ReturnType
Return type for expression template evaluations.
Definition: DMatSVecMultExpr.h:160
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:932
Header file for the IsComputation type trait class.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: DMatSVecMultExpr.h:282
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:59
EnableIf< IsDenseMatrix< MT1 > >::Type smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:129
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:108
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:157
This ResultType
Result type for expression template evaluations.
Definition: CompressedMatrix.h:2473
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix)
Returns the current number of columns of the matrix.
Definition: Matrix.h:332
Header file for basic type definitions.
Header file for the SubvectorExprTrait class template.
Constraint on the data type.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DMatSVecMultExpr.h:207
Header file for the MatVecMultExpr base class.
SelectType< useAssign, const ResultType, const DMatSVecMultExpr & >::Type CompositeType
Data type for composite expression templates.
Definition: DMatSVecMultExpr.h:163
DMatSVecMultExpr(const MT &mat, const VT &vec)
Constructor for the DMatSVecMultExpr class.
Definition: DMatSVecMultExpr.h:193
Constraint on the data type.
MT::ResultType MRT
Result type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:104
VT::CompositeType VCT
Composite type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:107
SelectType< evaluateMatrix, const MRT, MCT >::Type LT
Type for the assignment of the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:172
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: DMatSVecMultExpr.h:302
EnableIf< IsDenseVector< VT1 > >::Type smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs)
Default implementation of the SMP multiplication assignment of a vector to a dense vector...
Definition: DenseVector.h:189
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
Header file for the IsExpression type trait class.
Header file for the FunctionTrace class.
BLAZE_ALWAYS_INLINE void subAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the subtraction assignment of a matrix to matrix.
Definition: Matrix.h:849