35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATMULTEXPR_H_
97 template<
typename MT1
99 class SMatTSMatMultExpr :
public SparseMatrix< SMatTSMatMultExpr<MT1,MT2>, false >
100 ,
private MatMatMultExpr
101 ,
private Computation
159 if(
lhs_.columns() == 0UL )
169 const LeftIterator lend( A.end(i) );
170 LeftIterator lelem( A.begin(i) );
175 const RightIterator rend( B.end(j) );
176 RightIterator relem( B.begin(j) );
179 if( lelem == lend || relem == rend )
184 if( lelem->index() < relem->index() ) {
186 if( lelem == lend )
break;
188 else if( relem->index() < lelem->index() ) {
190 if( relem == rend )
break;
193 tmp = lelem->value() * relem->value();
200 if( lelem != lend && relem != rend )
203 if( lelem->index() < relem->index() ) {
205 if( lelem == lend )
break;
207 else if( relem->index() < lelem->index() ) {
209 if( relem == rend )
break;
212 tmp += lelem->value() * relem->value();
214 if( lelem == lend )
break;
216 if( relem == rend )
break;
228 const LeftIterator end( A.end(i) );
229 LeftIterator element( A.begin(i) );
236 tmp = element->value() *
rhs_(element->index(),j);
238 for( ; element!=end; ++element )
239 tmp += element->value() *
rhs_(element->index(),j);
248 const RightIterator end( B.end(j) );
249 RightIterator element( B.begin(j) );
256 tmp =
lhs_(i,element->index()) * element->value();
258 for( ; element!=end; ++element )
259 tmp +=
lhs_(i,element->index()) * element->value();
265 for(
size_t k=1UL; k<
lhs_.columns(); ++k ) {
290 return rhs_.columns();
342 template<
typename T >
344 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
354 template<
typename T >
356 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
379 template<
typename MT >
390 assign( ~lhs, rhs.lhs_ * tmp );
408 template<
typename MT >
419 assign( ~lhs, tmp * rhs.rhs_ );
437 template<
typename MT >
448 assign( ~lhs, rhs.lhs_ * tmp );
466 template<
typename MT >
477 assign( ~lhs, tmp * rhs.rhs_ );
495 template<
typename MT >
524 template<
typename MT >
557 template<
typename MT >
586 template<
typename MT >
664 template<
typename T1
666 inline const SMatTSMatMultExpr<T1,T2>
672 throw std::invalid_argument(
"Matrix sizes do not match" );
689 template<
typename MT1,
typename MT2,
typename VT >
690 struct SMatDVecMultExprTrait< SMatTSMatMultExpr<MT1,MT2>, VT >
694 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
695 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
696 IsDenseVector<VT>::value && IsColumnVector<VT>::value
697 ,
typename SMatDVecMultExprTrait< MT1, typename TSMatDVecMultExprTrait<MT2,VT>::Type >::Type
698 , INVALID_TYPE >::Type Type;
707 template<
typename MT1,
typename MT2,
typename VT >
708 struct SMatSVecMultExprTrait< SMatTSMatMultExpr<MT1,MT2>, VT >
712 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
713 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
714 IsSparseVector<VT>::value && IsColumnVector<VT>::value
715 ,
typename SMatSVecMultExprTrait< MT1, typename TSMatSVecMultExprTrait<MT2,VT>::Type >::Type
716 , INVALID_TYPE >::Type Type;
725 template<
typename VT,
typename MT1,
typename MT2 >
726 struct TDVecSMatMultExprTrait< VT, SMatTSMatMultExpr<MT1,MT2> >
730 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
731 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
732 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
733 ,
typename TDVecTSMatMultExprTrait< typename TDVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
734 , INVALID_TYPE >::Type Type;
743 template<
typename VT,
typename MT1,
typename MT2 >
744 struct TSVecSMatMultExprTrait< VT, SMatTSMatMultExpr<MT1,MT2> >
748 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
749 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
750 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
751 ,
typename TDVecTSMatMultExprTrait< typename TDVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
752 , INVALID_TYPE >::Type Type;
761 template<
typename MT1,
typename MT2 >
762 struct SubmatrixExprTrait< SMatTSMatMultExpr<MT1,MT2> >
766 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1>::Type
767 ,
typename SubmatrixExprTrait<const MT2>::Type >::Type Type;
776 template<
typename MT1,
typename MT2 >
777 struct RowExprTrait< SMatTSMatMultExpr<MT1,MT2> >
781 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
790 template<
typename MT1,
typename MT2 >
791 struct ColumnExprTrait< SMatTSMatMultExpr<MT1,MT2> >
795 typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
Header file for the SMatDVecMultExprTrait class template.
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
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatMultExpr.h:310
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:107
Header file for the IsSparseMatrix type trait.
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:196
Header file for the ColumnExprTrait class template.
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: SMatTSMatMultExpr.h:343
Header file for the TSVecTSMatMultExprTrait class template.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2375
Header file for the IsRowVector type trait.
SMatTSMatMultExpr< MT1, MT2 > This
Type of this SMatTSMatMultExpr instance.
Definition: SMatTSMatMultExpr.h:113
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:248
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:105
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:125
void UNUSED_PARAMETER(const T1 &)
Suppression of unused parameter warnings.
Definition: Unused.h:84
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:108
Header file for the TDVecSMatMultExprTrait class template.
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.
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2371
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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatMultExpr.h:119
Header file for the SparseMatrix base class.
Constraint on the data type.
Expression object for sparse matrix-transpose sparse matrix multiplications.The SMatTSMatMultExpr cla...
Definition: Forward.h:102
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
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatTSMatMultExpr.h:117
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 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
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
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatMultExpr.h:355
Header file for the SMatSVecMultExprTrait class template.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatTSMatMultExpr.h:289
Constraints on the storage order of matrix types.
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatMultExpr.h:331
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: SMatTSMatMultExpr.h:363
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatMultExpr.h:299
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatMultExpr.h:149
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
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:122
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
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: SMatTSMatMultExpr.h:114
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatTSMatMultExpr.h:279
Header file for the RemoveReference type trait.
Header file for the IsDenseVector type trait.
SMatTSMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatTSMatMultExpr class.
Definition: SMatTSMatMultExpr.h:134
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatMultExpr.h:321
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatTSMatMultExpr.h:362
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.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatMultExpr.h:115
Header file for the IsColumnVector 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
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:106
Header file for the IsExpression type trait class.
Header file for the TSMatSVecMultExprTrait class template.
Header file for the FunctionTrace class.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:116
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:118