35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATMULTEXPR_H_
105 template<
typename MT1
107 class TSMatTSMatMultExpr :
public SparseMatrix< TSMatTSMatMultExpr<MT1,MT2>, true >
108 ,
private MatMatMultExpr
109 ,
private Computation
166 if(
lhs_.columns() == 0UL )
175 const ConstIterator end( B.end(j) );
176 ConstIterator element( B.begin(j) );
183 tmp =
lhs_(i,element->index()) * element->value();
185 for( ; element!=end; ++element )
186 tmp +=
lhs_(i,element->index()) * element->value();
192 for(
size_t k=1UL; k<
lhs_.columns(); ++k ) {
217 return rhs_.columns();
269 template<
typename T >
271 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
281 template<
typename T >
283 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
307 template<
typename MT
330 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
331 const RightIterator rend( B.end(j) );
332 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
333 const LeftIterator lend( A.end( relem->index() ) );
334 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem )
336 if(
isDefault( (~lhs)(lelem->index(),j) ) ) {
337 (~lhs)(lelem->index(),j) = lelem->value() * relem->value();
340 (~lhs)(lelem->index(),j) += lelem->value() * relem->value();
363 template<
typename MT
386 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
387 const RightIterator rend( B.end(j) );
388 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
389 const LeftIterator lend( A.end( relem->index() ) );
390 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem ) {
391 (~lhs)(lelem->index(),j) += lelem->value() * relem->value();
412 template<
typename MT >
424 (~lhs).reserve( tmp.nonZeros() );
443 template<
typename MT >
465 size_t nonzeros( 0UL );
467 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
468 const RightIterator rend( B.end(j) );
469 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
470 nonzeros += A.nonZeros( relem->index() );
474 if( nonzeros > (~lhs).rows() * (~lhs).
columns() ) {
478 (~lhs).reserve( nonzeros );
483 std::vector<byte> valid ( (~lhs).
rows(), 0 );
484 std::vector<size_t> indices( (~lhs).
rows(), 0UL );
485 size_t minIndex(
inf ), maxIndex( 0UL );
487 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
489 const RightIterator rend( B.end(j) );
490 for( RightIterator relem=B.begin(j); relem!=rend; ++relem )
492 const LeftIterator lend( A.end( relem->index() ) );
493 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem )
495 if( !valid[lelem->index()] ) {
496 values[lelem->index()] = lelem->value() * relem->value();
497 valid [lelem->index()] = 1;
498 indices[nonzeros] = lelem->index();
500 if( lelem->index() < minIndex ) minIndex = lelem->index();
501 if( lelem->index() > maxIndex ) maxIndex = lelem->index();
504 values[lelem->index()] += lelem->value() * relem->value();
515 if( ( nonzeros + nonzeros ) < ( maxIndex - minIndex ) )
517 std::sort( indices.begin(), indices.begin() + nonzeros );
519 for(
size_t i=0UL; i<nonzeros; ++i )
521 const size_t index( indices[i] );
523 (~lhs).append( index, j, values[index] );
524 reset( values[index] );
527 reset( valid [index] );
531 for(
size_t i=minIndex; i<=maxIndex; ++i )
534 (~lhs).append( i, j, values[i] );
547 (~lhs).finalize( j );
566 template<
typename MT
588 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
589 const RightIterator rend( B.end(j) );
590 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
591 const LeftIterator lend( A.end( relem->index() ) );
592 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem ) {
593 (~lhs)(lelem->index(),j) += lelem->value() * relem->value();
618 template<
typename MT
640 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
641 const RightIterator rend( B.end(j) );
642 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
643 const LeftIterator lend( A.end( relem->index() ) );
644 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem ) {
645 (~lhs)(lelem->index(),j) -= lelem->value() * relem->value();
712 template<
typename T1
714 inline const TSMatTSMatMultExpr<T1,T2>
720 throw std::invalid_argument(
"Matrix sizes do not match" );
737 template<
typename MT1,
typename MT2,
typename VT >
738 struct TSMatDVecMultExprTrait< TSMatTSMatMultExpr<MT1,MT2>, VT >
742 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
743 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
744 IsDenseVector<VT>::value && IsColumnVector<VT>::value
745 ,
typename TSMatDVecMultExprTrait< MT1, typename TSMatDVecMultExprTrait<MT2,VT>::Type >::Type
746 , INVALID_TYPE >::Type Type;
755 template<
typename MT1,
typename MT2,
typename VT >
756 struct TSMatSVecMultExprTrait< TSMatTSMatMultExpr<MT1,MT2>, VT >
760 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
761 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
762 IsSparseVector<VT>::value && IsColumnVector<VT>::value
763 ,
typename TSMatDVecMultExprTrait< MT1, typename TSMatDVecMultExprTrait<MT2,VT>::Type >::Type
764 , INVALID_TYPE >::Type Type;
773 template<
typename VT,
typename MT1,
typename MT2 >
774 struct TDVecTSMatMultExprTrait< VT, TSMatTSMatMultExpr<MT1,MT2> >
778 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
779 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
780 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
781 ,
typename TDVecTSMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
782 , INVALID_TYPE >::Type Type;
791 template<
typename VT,
typename MT1,
typename MT2 >
792 struct TSVecTSMatMultExprTrait< VT, TSMatTSMatMultExpr<MT1,MT2> >
796 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
797 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
798 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
799 ,
typename TSVecTSMatMultExprTrait< typename TSVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
800 , INVALID_TYPE >::Type Type;
809 template<
typename MT1,
typename MT2 >
810 struct SubmatrixExprTrait< TSMatTSMatMultExpr<MT1,MT2> >
814 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1>::Type
815 ,
typename SubmatrixExprTrait<const MT2>::Type >::Type Type;
824 template<
typename MT1,
typename MT2 >
825 struct RowExprTrait< TSMatTSMatMultExpr<MT1,MT2> >
829 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
838 template<
typename MT1,
typename MT2 >
839 struct ColumnExprTrait< TSMatTSMatMultExpr<MT1,MT2> >
843 typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
void reset(DynamicMatrix< Type, SO > &m)
Resetting the given dense matrix.
Definition: DynamicMatrix.h:4512
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
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:116
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.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:124
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:126
Header file for the IsColumnMajorMatrix type trait.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:113
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.
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:248
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatMultExpr.h:157
void UNUSED_PARAMETER(const T1 &)
Suppression of unused parameter warnings.
Definition: Unused.h:84
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatMultExpr.h:248
TSMatTSMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatTSMatMultExpr class.
Definition: TSMatTSMatMultExpr.h:142
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatMultExpr.h:270
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
Header file for the RequiresEvaluation type trait.
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
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatMultExpr.h:258
Header file for the SparseMatrix base class.
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
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSMatTSMatMultExpr.h:290
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatTSMatMultExpr.h:216
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatMultExpr.h:237
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.
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatTSMatMultExpr.h:289
#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
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:122
Header file for the TDVecTSMatMultExprTrait class template.
Header file for the TSMatDVecMultExprTrait class template.
Numerical infinity for built-in data types.
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
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:123
Expression object for transpose sparse matrix-transpose sparse matrix multiplications.The TSMatTSMatMultExpr class represents the compile time expression for multiplications between two column-major sparse matrices.
Definition: Forward.h:141
Constraint on the data type.
Constraints on the storage order of matrix types.
Constraint on the data type.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatMultExpr.h:226
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 EnableIf class template.
Header file for the byte type.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:130
Header file for the IsSparseVector type trait.
Header file for the SubmatrixExprTrait class template.
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
TSMatTSMatMultExpr< MT1, MT2 > This
Type of this TSMatTSMatMultExpr instance.
Definition: TSMatTSMatMultExpr.h:121
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatTSMatMultExpr.h:206
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
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.
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
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatTSMatMultExpr.h:125
Header file for the isDefault shim.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:114
const Infinity inf
Global Infinity instance.The blaze::inf instance can be used wherever a built-in data type is expecte...
Definition: Infinity.h:1098
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatMultExpr.h:127
Header file for the RemoveReference type trait.
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: TSMatTSMatMultExpr.h:115
Header file for the IsDenseVector type trait.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatMultExpr.h:282
Header file for the IsComputation type trait class.
Header file for the IsBuiltin type trait.
#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.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:133
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.