35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATMULTEXPR_H_
102 template<
typename MT1
104 class SMatSMatMultExpr :
public SparseMatrix< SMatSMatMultExpr<MT1,MT2>, false >
105 ,
private MatMatMultExpr
106 ,
private Computation
163 if(
lhs_.columns() == 0UL )
172 const ConstIterator end( A.end(i) );
173 ConstIterator element( A.begin(i) );
180 tmp = element->value() *
rhs_(element->index(),j);
182 for( ; element!=end; ++element )
183 tmp += element->value() *
rhs_(element->index(),j);
189 for(
size_t k=1UL; k<
lhs_.columns(); ++k ) {
214 return rhs_.columns();
266 template<
typename T >
268 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
278 template<
typename T >
280 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
303 template<
typename MT
326 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
327 const LeftIterator lend( A.end(i) );
328 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
329 const RightIterator rend( B.end( lelem->index() ) );
330 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem )
332 if(
isDefault( (~lhs)(i,relem->index()) ) ) {
333 (~lhs)(i,relem->index()) = lelem->value() * relem->value();
336 (~lhs)(i,relem->index()) += lelem->value() * relem->value();
358 template<
typename MT
381 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
382 const LeftIterator lend( A.end(i) );
383 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
384 const RightIterator rend( B.end( lelem->index() ) );
385 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem ) {
386 (~lhs)(i,relem->index()) += lelem->value() * relem->value();
406 template<
typename MT >
428 size_t nonzeros( 0UL );
430 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
431 const LeftIterator lend( A.end(i) );
432 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
433 nonzeros += B.nonZeros( lelem->index() );
437 if( nonzeros > (~lhs).rows() * (~lhs).
columns() ) {
441 (~lhs).reserve( nonzeros );
446 std::vector<byte> valid ( (~lhs).
columns(), 0 );
447 std::vector<size_t> indices( (~lhs).
columns(), 0UL );
448 size_t minIndex(
inf ), maxIndex( 0UL );
450 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
452 const LeftIterator lend( A.end(i) );
453 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem )
455 const RightIterator rend( B.end( lelem->index() ) );
456 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem )
458 if( !valid[relem->index()] ) {
459 values[relem->index()] = lelem->value() * relem->value();
460 valid [relem->index()] = 1;
461 indices[nonzeros] = relem->index();
463 if( relem->index() < minIndex ) minIndex = relem->index();
464 if( relem->index() > maxIndex ) maxIndex = relem->index();
467 values[relem->index()] += lelem->value() * relem->value();
478 if( ( nonzeros + nonzeros ) < ( maxIndex - minIndex ) )
480 std::sort( indices.begin(), indices.begin() + nonzeros );
482 for(
size_t j=0UL; j<nonzeros; ++j )
484 const size_t index( indices[j] );
486 (~lhs).append( i, index, values[index] );
487 reset( values[index] );
490 reset( valid [index] );
494 for(
size_t j=minIndex; j<=maxIndex; ++j )
497 (~lhs).append( i, j, values[j] );
510 (~lhs).finalize( i );
528 template<
typename MT >
540 (~lhs).reserve( tmp.nonZeros() );
558 template<
typename MT
580 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
581 const LeftIterator lend( A.end(i) );
582 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
583 const RightIterator rend( B.end( lelem->index() ) );
584 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem ) {
585 (~lhs)(i,relem->index()) += lelem->value() * relem->value();
610 template<
typename MT
632 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
633 const LeftIterator lend( A.end(i) );
634 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
635 const RightIterator rend( B.end( lelem->index() ) );
636 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem ) {
637 (~lhs)(i,relem->index()) -= lelem->value() * relem->value();
704 template<
typename T1
706 inline const SMatSMatMultExpr<T1,T2>
712 throw std::invalid_argument(
"Matrix sizes do not match" );
729 template<
typename MT1,
typename MT2,
typename VT >
730 struct SMatDVecMultExprTrait< SMatSMatMultExpr<MT1,MT2>, VT >
734 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
735 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
736 IsDenseVector<VT>::value && IsColumnVector<VT>::value
737 ,
typename SMatDVecMultExprTrait< MT1, typename SMatDVecMultExprTrait<MT2,VT>::Type >::Type
738 , INVALID_TYPE >::Type Type;
747 template<
typename MT1,
typename MT2,
typename VT >
748 struct SMatSVecMultExprTrait< SMatSMatMultExpr<MT1,MT2>, VT >
752 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
753 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
754 IsSparseVector<VT>::value && IsColumnVector<VT>::value
755 ,
typename SMatSVecMultExprTrait< MT1, typename SMatSVecMultExprTrait<MT2,VT>::Type >::Type
756 , INVALID_TYPE >::Type Type;
765 template<
typename VT,
typename MT1,
typename MT2 >
766 struct TDVecSMatMultExprTrait< VT, SMatSMatMultExpr<MT1,MT2> >
770 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
771 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
772 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
773 ,
typename TDVecSMatMultExprTrait< typename TDVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
774 , INVALID_TYPE >::Type Type;
783 template<
typename VT,
typename MT1,
typename MT2 >
784 struct TSVecSMatMultExprTrait< VT, SMatSMatMultExpr<MT1,MT2> >
788 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
789 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
790 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
791 ,
typename TSVecSMatMultExprTrait< typename TSVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
792 , INVALID_TYPE >::Type Type;
801 template<
typename MT1,
typename MT2 >
802 struct SubmatrixExprTrait< SMatSMatMultExpr<MT1,MT2> >
806 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1>::Type
807 ,
typename SubmatrixExprTrait<const MT2>::Type >::Type Type;
816 template<
typename MT1,
typename MT2 >
817 struct RowExprTrait< SMatSMatMultExpr<MT1,MT2> >
821 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
830 template<
typename MT1,
typename MT2 >
831 struct ColumnExprTrait< SMatSMatMultExpr<MT1,MT2> >
835 typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
Header file for the SMatDVecMultExprTrait class template.
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
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatSMatMultExpr.h:119
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::ElementType ElementType
Resulting element type.
Definition: SMatSMatMultExpr.h:122
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2375
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatMultExpr.h:255
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.
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.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatSMatMultExpr.h:223
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:112
Header file for the implementation of an arbitrarily sized vector.
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
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatMultExpr.h:120
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:110
Header file for the SparseMatrix base class.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatMultExpr.h:121
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 ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatSMatMultExpr.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.
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatSMatMultExpr.h:203
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatSMatMultExpr.h:213
Header file for the multiplication trait.
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: SMatSMatMultExpr.h:287
SMatSMatMultExpr< MT1, MT2 > This
Type of this SMatSMatMultExpr instance.
Definition: SMatSMatMultExpr.h:118
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:127
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2379
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
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatSMatMultExpr.h:267
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatMultExpr.h:245
Header file for the SMatSVecMultExprTrait class template.
SMatSMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatSMatMultExpr class.
Definition: SMatSMatMultExpr.h:139
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatMultExpr.h:279
Constraints on the storage order of matrix types.
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
Header file for the EnableIf class template.
Header file for the byte type.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatMultExpr.h:234
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
Expression object for sparse matrix-sparse matrix multiplications.The SMatSMatMultExpr class represen...
Definition: Forward.h:94
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
Header file for the isDefault shim.
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatSMatMultExpr.h:154
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
Header file for the IsDenseVector type trait.
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatSMatMultExpr.h:286
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:130
Header file for the IsRowMajorMatrix type trait.
Header file for the IsComputation type trait class.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:111
#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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatMultExpr.h:124
#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 FunctionTrace class.
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:113