35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_
109 template<
typename MT1
111 class TSMatSMatMultExpr :
public SparseMatrix< TSMatSMatMultExpr<MT1,MT2>, true >
112 ,
private MatMatMultExpr
113 ,
private Computation
138 template<
typename T1,
typename T2,
typename T3 >
139 struct UseSMPAssignKernel {
140 enum { value = evaluateLeft || evaluateRight };
164 enum { smpAssignable = !evaluateLeft && !evaluateRight };
194 if(
lhs_.columns() != 0UL ) {
196 for(
size_t k=1UL; k<
lhs_.columns(); ++k ) {
221 return rhs_.columns();
273 template<
typename T >
275 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
285 template<
typename T >
287 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
320 template<
typename MT
339 TSMatSMatMultExpr::selectAssignKernel( ~lhs, A, B );
358 template<
typename MT3
362 selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
367 for(
size_t j=0UL; j<A.columns(); ++j ) {
368 const LeftIterator lend( A.end(j) );
369 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
370 const RightIterator rend( B.end(j) );
371 for( RightIterator relem=B.begin(j); relem!=rend; ++relem )
374 isDefault( C(lelem->index(),relem->index()) ) ) {
375 C(lelem->index(),relem->index()) = lelem->value() * relem->value();
378 C(lelem->index(),relem->index()) += lelem->value() * relem->value();
401 template<
typename MT3
404 static inline typename EnableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
405 selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
425 template<
typename MT >
454 template<
typename MT >
483 template<
typename MT
502 TSMatSMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
521 template<
typename MT3
524 static inline typename DisableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
525 selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
530 for(
size_t j=0UL; j<A.columns(); ++j ) {
531 const LeftIterator lend( A.end(j) );
532 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
533 const RightIterator rend( B.end(j) );
534 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
535 C(lelem->index(),relem->index()) += lelem->value() * relem->value();
557 template<
typename MT3
560 static inline typename EnableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
561 selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
585 template<
typename MT
604 TSMatSMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
623 template<
typename MT3
626 static inline typename DisableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
627 selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
632 for(
size_t j=0UL; j<A.columns(); ++j ) {
633 const LeftIterator lend( A.end(j) );
634 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
635 const RightIterator rend( B.end(j) );
636 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
637 C(lelem->index(),relem->index()) -= lelem->value() * relem->value();
659 template<
typename MT3
662 static inline typename EnableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
663 selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
732 template<
typename T1
734 inline const TSMatSMatMultExpr<T1,T2>
740 throw std::invalid_argument(
"Matrix sizes do not match" );
757 template<
typename MT1,
typename MT2,
typename VT >
758 struct TSMatDVecMultExprTrait< TSMatSMatMultExpr<MT1,MT2>, VT >
762 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
763 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
764 IsDenseVector<VT>::value && IsColumnVector<VT>::value
765 ,
typename TSMatDVecMultExprTrait< MT1, typename SMatDVecMultExprTrait<MT2,VT>::Type >::Type
766 , INVALID_TYPE >::Type Type;
775 template<
typename MT1,
typename MT2,
typename VT >
776 struct TSMatSVecMultExprTrait< TSMatSMatMultExpr<MT1,MT2>, VT >
780 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
781 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
782 IsSparseVector<VT>::value && IsColumnVector<VT>::value
783 ,
typename TSMatDVecMultExprTrait< MT1, typename SMatDVecMultExprTrait<MT2,VT>::Type >::Type
784 , INVALID_TYPE >::Type Type;
793 template<
typename VT,
typename MT1,
typename MT2 >
794 struct TDVecTSMatMultExprTrait< VT, TSMatSMatMultExpr<MT1,MT2> >
798 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
799 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
800 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
801 ,
typename TDVecSMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
802 , INVALID_TYPE >::Type Type;
811 template<
typename VT,
typename MT1,
typename MT2 >
812 struct TSVecTSMatMultExprTrait< VT, TSMatSMatMultExpr<MT1,MT2> >
816 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
817 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
818 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
819 ,
typename TDVecSMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
820 , INVALID_TYPE >::Type Type;
829 template<
typename MT1,
typename MT2,
bool AF >
830 struct SubmatrixExprTrait< TSMatSMatMultExpr<MT1,MT2>, AF >
834 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
835 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
844 template<
typename MT1,
typename MT2 >
845 struct RowExprTrait< TSMatSMatMultExpr<MT1,MT2> >
849 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
858 template<
typename MT1,
typename MT2 >
859 struct ColumnExprTrait< TSMatSMatMultExpr<MT1,MT2> >
863 typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatSMatMultExpr.h:210
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSMatSMatMultExpr.h:304
Header file for the SMatDVecMultExprTrait class template.
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatMultExpr.h:262
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:4075
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatMultExpr.h:149
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatMultExpr.h:188
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:150
void smpSubAssign(DenseMatrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:151
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:4622
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:197
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:286
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:274
Header file for the TSVecTSMatMultExprTrait class template.
Header file for the sparse matrix SMP implementation.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:118
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2384
Header file for the IsRowVector type trait.
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:249
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:156
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: TSMatSMatMultExpr.h:296
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:153
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2380
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:120
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:303
Constraint on the data type.
const size_t SMP_TSMATSMATMULT_THRESHOLD
SMP column-major sparse matrix/row-major sparse matrix multiplication threshold.This threshold repres...
Definition: Thresholds.h:615
Header file for the MultExprTrait class template.
void smpAddAssign(DenseMatrix< 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:121
Compile time check to query the requirement to evaluate an expression.Via this type trait it is possi...
Definition: RequiresEvaluation.h:90
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:117
TSMatSMatMultExpr< MT1, MT2 > This
Type of this TSMatSMatMultExpr instance.
Definition: TSMatSMatMultExpr.h:147
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:152
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:2388
Header file for the TDVecTSMatMultExprTrait class template.
Header file for the dense matrix SMP implementation.
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:230
void smpAssign(DenseMatrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:91
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:159
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
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
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:220
TSMatSMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatSMatMultExpr class.
Definition: TSMatSMatMultExpr.h:173
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:148
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatMultExpr.h:241
Header file for the isDefault shim.
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatMultExpr.h:252
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatSMatMultExpr.h:151
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:119
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:2379
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.
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
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.