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TSMatSMatMultExpr.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <stdexcept>
44 #include <vector>
56 #include <blaze/math/shims/Reset.h>
81 #include <blaze/util/Assert.h>
82 #include <blaze/util/DisableIf.h>
83 #include <blaze/util/EnableIf.h>
84 #include <blaze/util/InvalidType.h>
86 #include <blaze/util/SelectType.h>
87 #include <blaze/util/Types.h>
89 #include <blaze/util/Unused.h>
90 
91 
92 namespace blaze {
93 
94 //=================================================================================================
95 //
96 // CLASS TSMATSMATMULTEXPR
97 //
98 //=================================================================================================
99 
100 //*************************************************************************************************
107 template< typename MT1 // Type of the left-hand side sparse matrix
108  , typename MT2 > // Type of the right-hand side sparse matrix
109 class TSMatSMatMultExpr : public SparseMatrix< TSMatSMatMultExpr<MT1,MT2>, true >
110  , private MatMatMultExpr
111  , private Computation
112 {
113  private:
114  //**Type definitions****************************************************************************
115  typedef typename MT1::ResultType RT1;
116  typedef typename MT2::ResultType RT2;
117  typedef typename MT1::CompositeType CT1;
118  typedef typename MT2::CompositeType CT2;
119  //**********************************************************************************************
120 
121  public:
122  //**Type definitions****************************************************************************
128  typedef const ElementType ReturnType;
129  typedef const ResultType CompositeType;
130 
132  typedef typename SelectType< IsExpression<MT1>::value, const MT1, const MT1& >::Type LeftOperand;
133 
135  typedef typename SelectType< IsExpression<MT2>::value, const MT2, const MT2& >::Type RightOperand;
136  //**********************************************************************************************
137 
138  //**Constructor*********************************************************************************
144  explicit inline TSMatSMatMultExpr( const MT1& lhs, const MT2& rhs )
145  : lhs_( lhs ) // Left-hand side sparse matrix of the multiplication expression
146  , rhs_( rhs ) // Right-hand side sparse matrix of the multiplication expression
147  {
148  BLAZE_INTERNAL_ASSERT( lhs.columns() == rhs.rows(), "Invalid matrix sizes" );
149  }
150  //**********************************************************************************************
151 
152  //**Access operator*****************************************************************************
159  inline ReturnType operator()( size_t i, size_t j ) const {
160  BLAZE_INTERNAL_ASSERT( i < lhs_.rows() , "Invalid row access index" );
161  BLAZE_INTERNAL_ASSERT( j < rhs_.columns(), "Invalid column access index" );
162 
163  ElementType tmp = ElementType();
164 
165  if( lhs_.columns() != 0UL ) {
166  tmp = lhs_(i,0UL) * rhs_(0UL,j);
167  for( size_t k=1UL; k<lhs_.columns(); ++k ) {
168  tmp += lhs_(i,k) * rhs_(k,j);
169  }
170  }
171 
172  return tmp;
173  }
174  //**********************************************************************************************
175 
176  //**Rows function*******************************************************************************
181  inline size_t rows() const {
182  return lhs_.rows();
183  }
184  //**********************************************************************************************
185 
186  //**Columns function****************************************************************************
191  inline size_t columns() const {
192  return rhs_.columns();
193  }
194  //**********************************************************************************************
195 
196  //**NonZeros function***************************************************************************
201  inline size_t nonZeros() const {
202  return 0UL;
203  }
204  //**********************************************************************************************
205 
206  //**NonZeros function***************************************************************************
212  inline size_t nonZeros( size_t i ) const {
213  UNUSED_PARAMETER( i );
214  return 0UL;
215  }
216  //**********************************************************************************************
217 
218  //**Left operand access*************************************************************************
223  inline LeftOperand leftOperand() const {
224  return lhs_;
225  }
226  //**********************************************************************************************
227 
228  //**Right operand access************************************************************************
233  inline RightOperand rightOperand() const {
234  return rhs_;
235  }
236  //**********************************************************************************************
237 
238  //**********************************************************************************************
244  template< typename T >
245  inline bool canAlias( const T* alias ) const {
246  return ( lhs_.canAlias( alias ) || rhs_.canAlias( alias ) );
247  }
248  //**********************************************************************************************
249 
250  //**********************************************************************************************
256  template< typename T >
257  inline bool isAliased( const T* alias ) const {
258  return ( lhs_.isAliased( alias ) || rhs_.isAliased( alias ) );
259  }
260  //**********************************************************************************************
261 
262  private:
263  //**Member variables****************************************************************************
266  //**********************************************************************************************
267 
268  //**Default assignment to dense matrices********************************************************
282  template< typename MT // Type of the target dense matrix
283  , bool SO > // Storage order of the target dense matrix
284  friend inline typename EnableIf< IsResizable<typename MT::ElementType> >::Type
285  assign( DenseMatrix<MT,SO>& lhs, const TSMatSMatMultExpr& rhs )
286  {
288 
289  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
290  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
291 
292  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
293  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
294 
295  CT1 A( rhs.lhs_ ); // Evaluation of the left-hand side sparse matrix operand
296  CT2 B( rhs.rhs_ ); // Evaluation of the right-hand side sparse matrix operand
297 
298  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
299  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
300  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
301  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
302  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
303  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
304 
305  for( size_t j=0UL; j<A.columns(); ++j ) {
306  const LeftIterator lend( A.end(j) );
307  for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
308  const RightIterator rend( B.end(j) );
309  for( RightIterator relem=B.begin(j); relem!=rend; ++relem )
310  {
311  if( isDefault( (~lhs)(lelem->index(),relem->index()) ) ) {
312  (~lhs)(lelem->index(),relem->index()) = lelem->value() * relem->value();
313  }
314  else {
315  (~lhs)(lelem->index(),relem->index()) += lelem->value() * relem->value();
316  }
317  }
318  }
319  }
320  }
322  //**********************************************************************************************
323 
324  //**Optimized assignment to dense matrices******************************************************
338  template< typename MT // Type of the target dense matrix
339  , bool SO > // Storage order of the target dense matrix
340  friend inline typename DisableIf< IsResizable<typename MT::ElementType> >::Type
341  assign( DenseMatrix<MT,SO>& lhs, const TSMatSMatMultExpr& rhs )
342  {
344 
345  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
346  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
347 
348  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
349  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
350 
351  CT1 A( rhs.lhs_ ); // Evaluation of the left-hand side sparse matrix operand
352  CT2 B( rhs.rhs_ ); // Evaluation of the right-hand side sparse matrix operand
353 
354  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
355  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
356  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
357  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
358  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
359  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
360 
361  for( size_t j=0UL; j<A.columns(); ++j ) {
362  const LeftIterator lend( A.end(j) );
363  for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
364  const RightIterator rend( B.end(j) );
365  for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
366  (~lhs)(lelem->index(),relem->index()) += lelem->value() * relem->value();
367  }
368  }
369  }
370  }
372  //**********************************************************************************************
373 
374  //**Assignment to row-major sparse matrices*****************************************************
387  template< typename MT > // Type of the target sparse matrix
388  friend inline void assign( SparseMatrix<MT,false>& lhs, const TSMatSMatMultExpr& rhs )
389  {
391 
392  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
393  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
394 
396 
397  const typename MT1::OppositeType tmp( rhs.lhs_ );
398  assign( ~lhs, tmp * rhs.rhs_ );
399  }
401  //**********************************************************************************************
402 
403  //**Assignment to column-major sparse matrices**************************************************
416  template< typename MT > // Type of the target sparse matrix
417  friend inline void assign( SparseMatrix<MT,true>& lhs, const TSMatSMatMultExpr& rhs )
418  {
420 
421  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
422  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
423 
425 
426  const typename MT2::OppositeType tmp( rhs.rhs_ );
427  assign( ~lhs, rhs.lhs_ * tmp );
428  }
430  //**********************************************************************************************
431 
432  //**Addition assignment to dense matrices*******************************************************
445  template< typename MT // Type of the target dense matrix
446  , bool SO > // Storage order of the target dense matarix
447  friend inline void addAssign( DenseMatrix<MT,SO>& lhs, const TSMatSMatMultExpr& rhs )
448  {
450 
451  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
452  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
453 
454  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
455  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
456 
457  CT1 A( rhs.lhs_ ); // Evaluation of the left-hand side sparse matrix operand
458  CT2 B( rhs.rhs_ ); // Evaluation of the right-hand side sparse matrix operand
459 
460  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
461  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
462  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
463  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
464  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
465  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
466 
467  for( size_t j=0UL; j<A.columns(); ++j ) {
468  const LeftIterator lend( A.end(j) );
469  for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
470  const RightIterator rend( B.end(j) );
471  for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
472  (~lhs)(lelem->index(),relem->index()) += lelem->value() * relem->value();
473  }
474  }
475  }
476  }
478  //**********************************************************************************************
479 
480  //**Addition assignment to sparse matrices******************************************************
481  // No special implementation for the addition assignment to sparse matrices.
482  //**********************************************************************************************
483 
484  //**Subtraction assignment to dense matrices****************************************************
497  template< typename MT // Type of the target dense matrix
498  , bool SO > // Storage order of the target dense matrix
499  friend inline void subAssign( DenseMatrix<MT,SO>& lhs, const TSMatSMatMultExpr& rhs )
500  {
502 
503  BLAZE_INTERNAL_ASSERT( (~lhs).rows() == rhs.rows() , "Invalid number of rows" );
504  BLAZE_INTERNAL_ASSERT( (~lhs).columns() == rhs.columns(), "Invalid number of columns" );
505 
506  typedef typename RemoveReference<CT1>::Type::ConstIterator LeftIterator;
507  typedef typename RemoveReference<CT2>::Type::ConstIterator RightIterator;
508 
509  CT1 A( rhs.lhs_ ); // Evaluation of the left-hand side sparse matrix operand
510  CT2 B( rhs.rhs_ ); // Evaluation of the right-hand side sparse matrix operand
511 
512  BLAZE_INTERNAL_ASSERT( A.rows() == rhs.lhs_.rows() , "Invalid number of rows" );
513  BLAZE_INTERNAL_ASSERT( A.columns() == rhs.lhs_.columns(), "Invalid number of columns" );
514  BLAZE_INTERNAL_ASSERT( B.rows() == rhs.rhs_.rows() , "Invalid number of rows" );
515  BLAZE_INTERNAL_ASSERT( B.columns() == rhs.rhs_.columns(), "Invalid number of columns" );
516  BLAZE_INTERNAL_ASSERT( A.rows() == (~lhs).rows() , "Invalid number of rows" );
517  BLAZE_INTERNAL_ASSERT( B.columns() == (~lhs).columns() , "Invalid number of columns" );
518 
519  for( size_t j=0UL; j<A.columns(); ++j ) {
520  const LeftIterator lend( A.end(j) );
521  for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
522  const RightIterator rend( B.end(j) );
523  for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
524  (~lhs)(lelem->index(),relem->index()) -= lelem->value() * relem->value();
525  }
526  }
527  }
528  }
530  //**********************************************************************************************
531 
532  //**Subtraction assignment to sparse matrices***************************************************
533  // No special implementation for the subtraction assignment to sparse matrices.
534  //**********************************************************************************************
535 
536  //**Multiplication assignment to dense matrices*************************************************
537  // No special implementation for the multiplication assignment to dense matrices.
538  //**********************************************************************************************
539 
540  //**Multiplication assignment to sparse matrices************************************************
541  // No special implementation for the multiplication assignment to sparse matrices.
542  //**********************************************************************************************
543 
544  //**Compile time checks*************************************************************************
551  //**********************************************************************************************
552 };
553 //*************************************************************************************************
554 
555 
556 
557 
558 //=================================================================================================
559 //
560 // GLOBAL BINARY ARITHMETIC OPERATORS
561 //
562 //=================================================================================================
563 
564 //*************************************************************************************************
594 template< typename T1 // Type of the left-hand side sparse matrix
595  , typename T2 > // Type of the right-hand side sparse matrix
596 inline const TSMatSMatMultExpr<T1,T2>
598 {
600 
601  if( (~lhs).columns() != (~rhs).rows() )
602  throw std::invalid_argument( "Matrix sizes do not match" );
603 
604  return TSMatSMatMultExpr<T1,T2>( ~lhs, ~rhs );
605 }
606 //*************************************************************************************************
607 
608 
609 
610 
611 //=================================================================================================
612 //
613 // EXPRESSION TRAIT SPECIALIZATIONS
614 //
615 //=================================================================================================
616 
617 //*************************************************************************************************
619 template< typename MT1, typename MT2, typename VT >
620 struct TSMatDVecMultExprTrait< TSMatSMatMultExpr<MT1,MT2>, VT >
621 {
622  public:
623  //**********************************************************************************************
624  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
625  IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
626  IsDenseVector<VT>::value && IsColumnVector<VT>::value
627  , typename TSMatDVecMultExprTrait< MT1, typename SMatDVecMultExprTrait<MT2,VT>::Type >::Type
628  , INVALID_TYPE >::Type Type;
629  //**********************************************************************************************
630 };
632 //*************************************************************************************************
633 
634 
635 //*************************************************************************************************
637 template< typename MT1, typename MT2, typename VT >
638 struct TSMatSVecMultExprTrait< TSMatSMatMultExpr<MT1,MT2>, VT >
639 {
640  public:
641  //**********************************************************************************************
642  typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
643  IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
644  IsSparseVector<VT>::value && IsColumnVector<VT>::value
645  , typename TSMatDVecMultExprTrait< MT1, typename SMatDVecMultExprTrait<MT2,VT>::Type >::Type
646  , INVALID_TYPE >::Type Type;
647  //**********************************************************************************************
648 };
650 //*************************************************************************************************
651 
652 
653 //*************************************************************************************************
655 template< typename VT, typename MT1, typename MT2 >
656 struct TDVecTSMatMultExprTrait< VT, TSMatSMatMultExpr<MT1,MT2> >
657 {
658  public:
659  //**********************************************************************************************
660  typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
661  IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
662  IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
663  , typename TDVecSMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
664  , INVALID_TYPE >::Type Type;
665  //**********************************************************************************************
666 };
668 //*************************************************************************************************
669 
670 
671 //*************************************************************************************************
673 template< typename VT, typename MT1, typename MT2 >
674 struct TSVecTSMatMultExprTrait< VT, TSMatSMatMultExpr<MT1,MT2> >
675 {
676  public:
677  //**********************************************************************************************
678  typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
679  IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
680  IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
681  , typename TDVecSMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
682  , INVALID_TYPE >::Type Type;
683  //**********************************************************************************************
684 };
686 //*************************************************************************************************
687 
688 
689 //*************************************************************************************************
691 template< typename MT1, typename MT2 >
692 struct SubmatrixExprTrait< TSMatSMatMultExpr<MT1,MT2> >
693 {
694  public:
695  //**********************************************************************************************
696  typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1>::Type
697  , typename SubmatrixExprTrait<const MT2>::Type >::Type Type;
698  //**********************************************************************************************
699 };
701 //*************************************************************************************************
702 
703 
704 //*************************************************************************************************
706 template< typename MT1, typename MT2 >
707 struct RowExprTrait< TSMatSMatMultExpr<MT1,MT2> >
708 {
709  public:
710  //**********************************************************************************************
711  typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
712  //**********************************************************************************************
713 };
715 //*************************************************************************************************
716 
717 
718 //*************************************************************************************************
720 template< typename MT1, typename MT2 >
721 struct ColumnExprTrait< TSMatSMatMultExpr<MT1,MT2> >
722 {
723  public:
724  //**********************************************************************************************
725  typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
726  //**********************************************************************************************
727 };
729 //*************************************************************************************************
730 
731 } // namespace blaze
732 
733 #endif
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatSMatMultExpr.h:181
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSMatSMatMultExpr.h:265
Header file for the SMatDVecMultExprTrait class template.
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatMultExpr.h:233
Header file for the UNUSED_PARAMETER function template.
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:3703
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatMultExpr.h:125
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatMultExpr.h:159
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:126
Header file for the IsSparseMatrix type trait.
bool isDefault(const DynamicMatrix< Type, SO > &m)
Returns whether the given dense matrix is in default state.
Definition: DynamicMatrix.h:4555
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:196
Header file for the ColumnExprTrait class template.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatMultExpr.h:257
Header file for the IsColumnMajorMatrix type trait.
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatMultExpr.h:245
Header file for the TSVecTSMatMultExprTrait class template.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:116
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2375
Header file for the IsRowVector type trait.
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:248
void UNUSED_PARAMETER(const T1 &)
Suppression of unused parameter warnings.
Definition: Unused.h:84
Header file for the TDVecSMatMultExprTrait class template.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:132
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
Header file for the RequiresEvaluation type trait.
Header file for the TSVecSMatMultExprTrait class template.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatMultExpr.h:129
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2371
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:118
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:104
Header file for the SparseMatrix base class.
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatSMatMultExpr.h:264
Constraint on the data type.
Header file for the MultExprTrait class template.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:115
TSMatSMatMultExpr< MT1, MT2 > This
Type of this TSMatSMatMultExpr instance.
Definition: TSMatSMatMultExpr.h:123
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.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:128
Header file for the multiplication trait.
#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: StorageOrder.h:161
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2379
Header file for the TDVecTSMatMultExprTrait class template.
Header file for the TSMatDVecMultExprTrait class template.
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:179
Constraint on the data type.
Header file for the SMatSVecMultExprTrait class template.
Constraints on the storage order of matrix types.
Constraint on the data type.
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Constraint on the data type.
Header file for the complete DynamicVector implementation.
Header file for the EnableIf class template.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatSMatMultExpr.h:201
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:135
Header file for the IsSparseVector type trait.
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
Header file for run time assertion macros.
Utility type for generic codes.
Base template for the MultTrait class.
Definition: MultTrait.h:141
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:209
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatSMatMultExpr.h:191
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
TSMatSMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatSMatMultExpr class.
Definition: TSMatSMatMultExpr.h:144
Header file for the reset shim.
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:239
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:124
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatMultExpr.h:212
Header file for the isDefault shim.
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatMultExpr.h:223
Header file for the RemoveReference type trait.
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatSMatMultExpr.h:127
Expression object for transpose sparse matrix-sparse matrix multiplications.The TSMatSMatMultExpr cla...
Definition: Forward.h:136
Substitution Failure Is Not An Error (SFINAE) class.The DisableIf class template is an auxiliary tool...
Definition: DisableIf.h:184
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:117
Header file for the IsDenseVector type trait.
Header file for the IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
#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:2370
size_t columns(const Matrix< MT, SO > &m)
Returns the current number of columns of the matrix.
Definition: Matrix.h:154
Header file for basic type definitions.
Header file for the IsColumnVector type trait.
Header file for the IsResizable type trait.
size_t rows(const Matrix< MT, SO > &m)
Returns the current number of rows of the matrix.
Definition: Matrix.h:138
#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
Header file for the IsExpression type trait class.
Header file for the TSMatSVecMultExprTrait class template.
Header file for the FunctionTrace class.