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SMatDVecMultExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATDVECMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATDVECMULTEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <stdexcept>
54 #include <blaze/math/shims/Reset.h>
67 #include <blaze/util/Assert.h>
69 #include <blaze/util/DisableIf.h>
70 #include <blaze/util/EnableIf.h>
72 #include <blaze/util/SelectType.h>
73 #include <blaze/util/Types.h>
75 
76 
77 namespace blaze {
78 
79 //=================================================================================================
80 //
81 // CLASS SMATDVECMULTEXPR
82 //
83 //=================================================================================================
84 
85 //*************************************************************************************************
92 template< typename MT // Type of the left-hand side sparse matrix
93  , typename VT > // Type of the right-hand side dense vector
94 class SMatDVecMultExpr : public DenseVector< SMatDVecMultExpr<MT,VT>, false >
95  , private MatVecMultExpr
96  , private Computation
97 {
98  private:
99  //**Type definitions****************************************************************************
100  typedef typename MT::ResultType MRT;
101  typedef typename VT::ResultType VRT;
102  typedef typename MT::CompositeType MCT;
103  typedef typename VT::CompositeType VCT;
104  //**********************************************************************************************
105 
106  //**********************************************************************************************
108  enum { evaluateMatrix = RequiresEvaluation<MT>::value };
109  //**********************************************************************************************
110 
111  //**********************************************************************************************
113  enum { evaluateVector = IsComputation<VT>::value || RequiresEvaluation<VT>::value };
114  //**********************************************************************************************
115 
116  //**********************************************************************************************
118 
124  enum { useAssign = evaluateMatrix || evaluateVector };
125  //**********************************************************************************************
126 
127  //**********************************************************************************************
129  template< typename VT2 >
131  struct UseAssign {
132  enum { value = useAssign };
133  };
135  //**********************************************************************************************
136 
137  //**********************************************************************************************
139 
143  template< typename T1 >
144  struct UseSMPAssign {
145  enum { value = useAssign };
146  };
148  //**********************************************************************************************
149 
150  public:
151  //**Type definitions****************************************************************************
156  typedef const ElementType ReturnType;
157 
160 
162  typedef typename SelectType< IsExpression<MT>::value, const MT, const MT& >::Type LeftOperand;
163 
165  typedef typename SelectType< IsExpression<VT>::value, const VT, const VT& >::Type RightOperand;
166 
169 
172  //**********************************************************************************************
173 
174  //**Compilation flags***************************************************************************
176  enum { vectorizable = 0 };
177 
179  enum { smpAssignable = !evaluateMatrix && MT::smpAssignable &&
180  !evaluateVector && VT::smpAssignable };
181  //**********************************************************************************************
182 
183  //**Constructor*********************************************************************************
189  explicit inline SMatDVecMultExpr( const MT& mat, const VT& vec )
190  : mat_( mat ) // Left-hand side sparse matrix of the multiplication expression
191  , vec_( vec ) // Right-hand side dense vector of the multiplication expression
192  {
193  BLAZE_INTERNAL_ASSERT( mat_.columns() == vec_.size(), "Invalid matrix and vector sizes" );
194  }
195  //**********************************************************************************************
196 
197  //**Subscript operator**************************************************************************
203  inline ReturnType operator[]( size_t index ) const {
204  BLAZE_INTERNAL_ASSERT( index < mat_.rows(), "Invalid vector access index" );
205 
207 
208  ElementType tmp = ElementType();
209 
210  // Early exit
211  if( mat_.columns() == 0UL )
212  return tmp;
213 
214  // Fast computation in case the left-hand side sparse matrix directly provides iterators
216  {
217  MCT A( mat_ ); // Evaluation of the left-hand side sparse matrix operand
218 
219  const ConstIterator end( A.end(index) );
220  ConstIterator element( A.begin(index) );
221 
222  // Early exit in case row 'index' is empty
223  if( element == end )
224  return tmp;
225 
226  // Calculating element 'index' for numeric data types
228  {
229  const size_t last( A.nonZeros(index) & size_t(-2) );
230  ElementType tmp2 = ElementType();
231 
232  for( size_t i=0UL; i<last; i+=2UL )
233  {
234  const ElementType value1( element->value() );
235  const size_t index1( element->index() );
236  ++element;
237  const ElementType value2( element->value() );
238  const size_t index2( element->index() );
239  ++element;
240 
241  tmp += value1 * vec_[index1];
242  tmp2 += value2 * vec_[index2];
243  }
244  if( element!=end ) {
245  tmp += element->value() * vec_[element->index()];
246  }
247 
248  tmp += tmp2;
249  }
250 
251  // Calculating element 'index' for non-numeric data types
252  else {
253  tmp = element->value() * vec_[element->index()];
254  ++element;
255  for( ; element!=end; ++element )
256  tmp += element->value() * vec_[element->index()];
257  }
258  }
259 
260  // Default computation in case the left-hand side sparse matrix doesn't provide iterators
261  else {
262  tmp = mat_(index,0UL) * vec_[0UL];
263  for( size_t k=1UL; k<mat_.columns(); ++k ) {
264  tmp += mat_(index,k) * vec_[k];
265  }
266  }
267 
268  return tmp;
269  }
270  //**********************************************************************************************
271 
272  //**Size function*******************************************************************************
277  inline size_t size() const {
278  return mat_.rows();
279  }
280  //**********************************************************************************************
281 
282  //**Left operand access*************************************************************************
287  inline LeftOperand leftOperand() const {
288  return mat_;
289  }
290  //**********************************************************************************************
291 
292  //**Right operand access************************************************************************
297  inline RightOperand rightOperand() const {
298  return vec_;
299  }
300  //**********************************************************************************************
301 
302  //**********************************************************************************************
308  template< typename T >
309  inline bool canAlias( const T* alias ) const {
310  return ( mat_.isAliased( alias ) || vec_.isAliased( alias ) );
311  }
312  //**********************************************************************************************
313 
314  //**********************************************************************************************
320  template< typename T >
321  inline bool isAliased( const T* alias ) const {
322  return ( mat_.isAliased( alias ) || vec_.isAliased( alias ) );
323  }
324  //**********************************************************************************************
325 
326  //**********************************************************************************************
331  inline bool isAligned() const {
332  return vec_.isAligned();
333  }
334  //**********************************************************************************************
335 
336  //**********************************************************************************************
341  inline bool canSMPAssign() const {
342  return ( size() > SMP_SMATDVECMULT_THRESHOLD );
343  }
344  //**********************************************************************************************
345 
346  private:
347  //**Member variables****************************************************************************
350  //**********************************************************************************************
351 
352  //**Assignment to dense vectors*****************************************************************
368  template< typename VT1 > // Type of the target dense vector
369  friend inline typename EnableIf< UseAssign<VT1> >::Type
371  {
373 
374  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
375 
377 
378  if( rhs.mat_.columns() == 0UL ) {
379  reset( ~lhs );
380  return;
381  }
382 
383  LT A( serial( rhs.mat_ ) ); // Evaluation of the left-hand side sparse matrix operand
384  RT x( serial( rhs.vec_ ) ); // Evaluation of the right-hand side dense vector operand
385 
386  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
387  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
388  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
389  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
390 
391  assign( ~lhs, A * x );
392  }
394  //**********************************************************************************************
395 
396  //**Assignment to sparse vectors****************************************************************
412  template< typename VT1 > // Type of the target sparse vector
413  friend inline typename EnableIf< UseAssign<VT1> >::Type
415  {
417 
421 
422  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
423 
424  const ResultType tmp( serial( rhs ) );
425  assign( ~lhs, tmp );
426  }
428  //**********************************************************************************************
429 
430  //**Addition assignment to dense vectors********************************************************
446  template< typename VT1 > // Type of the target dense vector
447  friend inline typename EnableIf< UseAssign<VT1> >::Type
448  addAssign( DenseVector<VT1,false>& lhs, const SMatDVecMultExpr& rhs )
449  {
451 
452  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
453 
455 
456  if( rhs.mat_.columns() == 0UL ) {
457  return;
458  }
459 
460  LT A( serial( rhs.mat_ ) ); // Evaluation of the left-hand side sparse matrix operand
461  RT x( serial( rhs.vec_ ) ); // Evaluation of the right-hand side dense vector operand
462 
463  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
464  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
465  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
466  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
467 
468  addAssign( ~lhs, A * x );
469  }
471  //**********************************************************************************************
472 
473  //**Addition assignment to sparse vectors*******************************************************
474  // No special implementation for the addition assignment to sparse vectors.
475  //**********************************************************************************************
476 
477  //**Subtraction assignment to dense vectors*****************************************************
493  template< typename VT1 > // Type of the target dense vector
494  friend inline typename EnableIf< UseAssign<VT1> >::Type
495  subAssign( DenseVector<VT1,false>& lhs, const SMatDVecMultExpr& rhs )
496  {
498 
499  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
500 
502 
503  if( rhs.mat_.columns() == 0UL ) {
504  return;
505  }
506 
507  LT A( serial( rhs.mat_ ) ); // Evaluation of the left-hand side sparse matrix operand
508  RT x( serial( rhs.vec_ ) ); // Evaluation of the right-hand side dense vector operand
509 
510  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
511  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
512  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
513  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
514 
515  subAssign( ~lhs, A * x );
516  }
518  //**********************************************************************************************
519 
520  //**Subtraction assignment to sparse vectors****************************************************
521  // No special implementation for the subtraction assignment to sparse vectors.
522  //**********************************************************************************************
523 
524  //**Multiplication assignment to dense vectors**************************************************
540  template< typename VT1 > // Type of the target dense vector
541  friend inline typename EnableIf< UseAssign<VT1> >::Type
542  multAssign( DenseVector<VT1,false>& lhs, const SMatDVecMultExpr& rhs )
543  {
545 
549 
550  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
551 
552  const ResultType tmp( serial( rhs ) );
553  multAssign( ~lhs, tmp );
554  }
556  //**********************************************************************************************
557 
558  //**Multiplication assignment to sparse vectors*************************************************
559  // No special implementation for the multiplication assignment to sparse vectors.
560  //**********************************************************************************************
561 
562  //**SMP assignment to dense vectors*************************************************************
577  template< typename VT1 > // Type of the target dense vector
578  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
579  smpAssign( DenseVector<VT1,false>& lhs, const SMatDVecMultExpr& rhs )
580  {
582 
583  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
584 
586 
587  if( rhs.mat_.columns() == 0UL ) {
588  reset( ~lhs );
589  return;
590  }
591 
592  LT A( rhs.mat_ ); // Evaluation of the left-hand side sparse matrix operand
593  RT x( rhs.vec_ ); // Evaluation of the right-hand side dense vector operand
594 
595  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
596  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
597  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
598  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
599 
600  smpAssign( ~lhs, A * x );
601  }
603  //**********************************************************************************************
604 
605  //**SMP assignment to sparse vectors************************************************************
620  template< typename VT1 > // Type of the target sparse vector
621  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
622  smpAssign( SparseVector<VT1,false>& lhs, const SMatDVecMultExpr& rhs )
623  {
625 
629 
630  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
631 
632  const ResultType tmp( rhs );
633  smpAssign( ~lhs, tmp );
634  }
636  //**********************************************************************************************
637 
638  //**SMP addition assignment to dense vectors****************************************************
653  template< typename VT1 > // Type of the target dense vector
654  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
655  smpAddAssign( DenseVector<VT1,false>& lhs, const SMatDVecMultExpr& rhs )
656  {
658 
659  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
660 
662 
663  if( rhs.mat_.columns() == 0UL ) {
664  return;
665  }
666 
667  LT A( rhs.mat_ ); // Evaluation of the left-hand side sparse matrix operand
668  RT x( rhs.vec_ ); // Evaluation of the right-hand side dense vector operand
669 
670  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
671  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
672  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
673  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
674 
675  smpAddAssign( ~lhs, A * x );
676  }
678  //**********************************************************************************************
679 
680  //**SMP addition assignment to sparse vectors***************************************************
681  // No special implementation for the SMP addition assignment to sparse vectors.
682  //**********************************************************************************************
683 
684  //**SMP subtraction assignment to dense vectors*************************************************
699  template< typename VT1 > // Type of the target dense vector
700  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
701  smpSubAssign( DenseVector<VT1,false>& lhs, const SMatDVecMultExpr& rhs )
702  {
704 
705  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
706 
708 
709  if( rhs.mat_.columns() == 0UL ) {
710  return;
711  }
712 
713  LT A( rhs.mat_ ); // Evaluation of the left-hand side sparse matrix operand
714  RT x( rhs.vec_ ); // Evaluation of the right-hand side dense vector operand
715 
716  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.mat_.rows() , "Invalid number of rows" );
717  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.mat_.columns(), "Invalid number of columns" );
718  BLAZE_INTERNAL_ASSERT( x.size() == rhs.vec_.size() , "Invalid vector size" );
719  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).size() , "Invalid vector size" );
720 
721  smpSubAssign( ~lhs, A * x );
722  }
724  //**********************************************************************************************
725 
726  //**SMP subtraction assignment to sparse vectors************************************************
727  // No special implementation for the SMP subtraction assignment to sparse vectors.
728  //**********************************************************************************************
729 
730  //**SMP multiplication assignment to dense vectors**********************************************
745  template< typename VT1 > // Type of the target dense vector
746  friend inline typename EnableIf< UseSMPAssign<VT1> >::Type
747  smpMultAssign( DenseVector<VT1,false>& lhs, const SMatDVecMultExpr& rhs )
748  {
750 
754 
755  BLAZE_INTERNAL_ASSERT( (~lhs).size() == rhs.size(), "Invalid vector sizes" );
756 
757  const ResultType tmp( rhs );
758  smpMultAssign( ~lhs, tmp );
759  }
761  //**********************************************************************************************
762 
763  //**SMP multiplication assignment to sparse vectors*********************************************
764  // No special implementation for the SMP multiplication assignment to sparse vectors.
765  //**********************************************************************************************
766 
767  //**Compile time checks*************************************************************************
775  //**********************************************************************************************
776 };
777 //*************************************************************************************************
778 
779 
780 
781 
782 //=================================================================================================
783 //
784 // GLOBAL BINARY ARITHMETIC OPERATORS
785 //
786 //=================================================================================================
787 
788 //*************************************************************************************************
819 template< typename T1 // Type of the left-hand side sparse matrix
820  , typename T2 > // Type of the right-hand side dense vector
821 inline const typename DisableIf< IsMatMatMultExpr<T1>, SMatDVecMultExpr<T1,T2> >::Type
823 {
825 
826  if( (~mat).columns() != (~vec).size() )
827  throw std::invalid_argument( "Matrix and vector sizes do not match" );
828 
829  return SMatDVecMultExpr<T1,T2>( ~mat, ~vec );
830 }
831 //*************************************************************************************************
832 
833 
834 
835 
836 //=================================================================================================
837 //
838 // GLOBAL RESTRUCTURING BINARY ARITHMETIC OPERATORS
839 //
840 //=================================================================================================
841 
842 //*************************************************************************************************
855 template< typename T1 // Type of the left-hand side sparse matrix
856  , bool SO // Storage order of the left-hand side sparse matrix
857  , typename T2 > // Type of the right-hand side dense vector
858 inline const typename EnableIf< IsMatMatMultExpr<T1>, typename MultExprTrait<T1,T2>::Type >::Type
860 {
862 
864 
865  return (~mat).leftOperand() * ( (~mat).rightOperand() * vec );
866 }
867 //*************************************************************************************************
868 
869 
870 
871 
872 //=================================================================================================
873 //
874 // SIZE SPECIALIZATIONS
875 //
876 //=================================================================================================
877 
878 //*************************************************************************************************
880 template< typename MT, typename VT >
881 struct Size< SMatDVecMultExpr<MT,VT> >
882  : public Rows<MT>
883 {};
885 //*************************************************************************************************
886 
887 
888 
889 
890 //=================================================================================================
891 //
892 // EXPRESSION TRAIT SPECIALIZATIONS
893 //
894 //=================================================================================================
895 
896 //*************************************************************************************************
898 template< typename MT, typename VT, bool AF >
899 struct SubvectorExprTrait< SMatDVecMultExpr<MT,VT>, AF >
900 {
901  public:
902  //**********************************************************************************************
903  typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT,AF>::Type, VT >::Type Type;
904  //**********************************************************************************************
905 };
907 //*************************************************************************************************
908 
909 } // namespace blaze
910 
911 #endif
Compile time check whether the given type is a computational expression template.This type trait clas...
Definition: IsComputation.h:89
Compile time check for numeric types.This type trait tests whether or not the given template paramete...
Definition: IsNumeric.h:98
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
MT::ResultType MRT
Result type of the left-hand side sparse matrix expression.
Definition: SMatDVecMultExpr.h:100
const size_t SMP_SMATDVECMULT_THRESHOLD
SMP row-major sparse matrix/dense vector multiplication threshold.This threshold specifies when a row...
Definition: Thresholds.h:506
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
BLAZE_ALWAYS_INLINE size_t size(const Vector< VT, TF > &vector)
Returns the current size/dimension of the vector.
Definition: Vector.h:258
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatDVecMultExpr.h:154
VT::CompositeType VCT
Composite type of the right-hand side dense vector expression.
Definition: SMatDVecMultExpr.h:103
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:258
#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
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatDVecMultExpr.h:321
Expression object for sparse matrix-dense vector multiplications.The SMatDVecMultExpr class represent...
Definition: Forward.h:91
RightOperand rightOperand() const
Returns the right-hand side dense vector operand.
Definition: SMatDVecMultExpr.h:297
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
Header file for the DenseVector base class.
SelectType< useAssign, const ResultType, const SMatDVecMultExpr & >::Type CompositeType
Data type for composite expression templates.
Definition: SMatDVecMultExpr.h:159
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatDVecMultExpr.h:287
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.
MultTrait< MRT, VRT >::Type ResultType
Result type for expression template evaluations.
Definition: SMatDVecMultExpr.h:153
Header file for the RequiresEvaluation type trait.
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:107
Constraint on the data type.
RightOperand vec_
Right-hand side dense vector of the multiplication expression.
Definition: SMatDVecMultExpr.h:349
VT::ResultType VRT
Result type of the right-hand side dense vector expression.
Definition: SMatDVecMultExpr.h:101
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
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatDVecMultExpr.h:348
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.
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2482
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
SelectType< IsExpression< MT >::value, const MT, const MT & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatDVecMultExpr.h:162
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:70
SelectType< evaluateMatrix, const MRT, MCT >::Type LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: SMatDVecMultExpr.h:168
Constraint on the data type.
#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
SelectType< evaluateVector, const VRT, VCT >::Type RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: SMatDVecMultExpr.h:171
#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.
Header file for the EnableIf class template.
Header file for the serial shim.
SMatDVecMultExpr< MT, VT > This
Type of this SMatDVecMultExpr instance.
Definition: SMatDVecMultExpr.h:152
SelectType< IsExpression< VT >::value, const VT, const VT & >::Type RightOperand
Composite type of the right-hand side dense vector expression.
Definition: SMatDVecMultExpr.h:165
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
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatDVecMultExpr.h:156
SMatDVecMultExpr(const MT &mat, const VT &vec)
Constructor for the SMatDVecMultExpr class.
Definition: SMatDVecMultExpr.h:189
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatDVecMultExpr.h:309
bool isAligned() const
Returns whether the operands of the expression are properly aligned in memory.
Definition: SMatDVecMultExpr.h:331
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
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
Header file for the reset shim.
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
size_t size() const
Returns the current size/dimension of the vector.
Definition: SMatDVecMultExpr.h:277
Header file for the RemoveReference type trait.
MT::CompositeType MCT
Composite type of the left-hand side sparse matrix expression.
Definition: SMatDVecMultExpr.h:102
#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
Header file for the IsComputation type trait class.
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.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: SMatDVecMultExpr.h:203
Header file for the SubvectorExprTrait class template.
Constraint on the data type.
Header file for the MatVecMultExpr base class.
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.
Size type of the Blaze library.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: SMatDVecMultExpr.h:341
#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
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:79
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatDVecMultExpr.h:155
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