35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATMULTEXPR_H_
105 template<
typename MT1
107 class SMatSMatMultExpr :
public SparseMatrix< SMatSMatMultExpr<MT1,MT2>, false >
108 ,
private MatMatMultExpr
109 ,
private Computation
134 template<
typename T1,
typename T2,
typename T3 >
135 struct UseSMPAssignKernel {
136 enum { value = evaluateLeft || evaluateRight };
160 enum { smpAssignable = !evaluateLeft && !evaluateRight };
193 if(
lhs_.columns() == 0UL )
202 const ConstIterator end( A.end(i) );
203 ConstIterator element( A.begin(i) );
210 tmp = element->value() *
rhs_(element->index(),j);
212 for( ; element!=end; ++element )
213 tmp += element->value() *
rhs_(element->index(),j);
219 for(
size_t k=1UL; k<
lhs_.columns(); ++k ) {
244 return rhs_.columns();
296 template<
typename T >
298 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
308 template<
typename T >
310 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
343 template<
typename MT
362 SMatSMatMultExpr::selectAssignKernel( ~lhs, A, B );
380 template<
typename MT3
384 selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
389 for(
size_t i=0UL; i<C.rows(); ++i ) {
390 const LeftIterator lend( A.end(i) );
391 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
392 const RightIterator rend( B.end( lelem->index() ) );
393 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem )
397 C(i,relem->index()) = lelem->value() * relem->value();
400 C(i,relem->index()) += lelem->value() * relem->value();
422 template<
typename MT3
425 static inline typename EnableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
426 selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
446 template<
typename MT >
468 size_t nonzeros( 0UL );
470 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
471 const LeftIterator lend( A.end(i) );
472 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
473 nonzeros += B.nonZeros( lelem->index() );
477 if( nonzeros > (~lhs).rows() * (~lhs).
columns() ) {
481 (~lhs).reserve( nonzeros );
486 std::vector<byte> valid ( (~lhs).
columns(), 0 );
487 std::vector<size_t> indices( (~lhs).
columns(), 0UL );
488 size_t minIndex(
inf ), maxIndex( 0UL );
490 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
492 const LeftIterator lend( A.end(i) );
493 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem )
495 const RightIterator rend( B.end( lelem->index() ) );
496 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem )
498 if( !valid[relem->index()] ) {
499 values[relem->index()] = lelem->value() * relem->value();
500 valid [relem->index()] = 1;
501 indices[nonzeros] = relem->index();
503 if( relem->index() < minIndex ) minIndex = relem->index();
504 if( relem->index() > maxIndex ) maxIndex = relem->index();
507 values[relem->index()] += lelem->value() * relem->value();
518 if( ( nonzeros + nonzeros ) < ( maxIndex - minIndex ) )
520 std::sort( indices.begin(), indices.begin() + nonzeros );
522 for(
size_t j=0UL; j<nonzeros; ++j )
524 const size_t index( indices[j] );
526 (~lhs).append( i, index, values[index] );
527 reset( values[index] );
530 reset( valid [index] );
534 for(
size_t j=minIndex; j<=maxIndex; ++j )
537 (~lhs).append( i, j, values[j] );
550 (~lhs).finalize( i );
569 template<
typename MT >
581 (~lhs).reserve( tmp.nonZeros() );
600 template<
typename MT
619 SMatSMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
638 template<
typename MT3
641 static inline typename DisableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
642 selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
647 for(
size_t i=0UL; i<C.rows(); ++i ) {
648 const LeftIterator lend( A.end(i) );
649 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
650 const RightIterator rend( B.end( lelem->index() ) );
651 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem ) {
652 C(i,relem->index()) += lelem->value() * relem->value();
674 template<
typename MT3
677 static inline typename EnableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
678 selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
702 template<
typename MT
721 SMatSMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
740 template<
typename MT3
743 static inline typename DisableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
744 selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
749 for(
size_t i=0UL; i<C.rows(); ++i ) {
750 const LeftIterator lend( A.end(i) );
751 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
752 const RightIterator rend( B.end( lelem->index() ) );
753 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem ) {
754 C(i,relem->index()) -= lelem->value() * relem->value();
776 template<
typename MT3
779 static inline typename EnableIf< UseSMPAssignKernel<MT3,MT4,MT5> >::Type
780 selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
846 template<
typename T1
848 inline const SMatSMatMultExpr<T1,T2>
854 throw std::invalid_argument(
"Matrix sizes do not match" );
871 template<
typename MT1,
typename MT2,
typename VT >
872 struct SMatDVecMultExprTrait< SMatSMatMultExpr<MT1,MT2>, VT >
876 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
877 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
878 IsDenseVector<VT>::value && IsColumnVector<VT>::value
879 ,
typename SMatDVecMultExprTrait< MT1, typename SMatDVecMultExprTrait<MT2,VT>::Type >::Type
880 , INVALID_TYPE >::Type Type;
889 template<
typename MT1,
typename MT2,
typename VT >
890 struct SMatSVecMultExprTrait< SMatSMatMultExpr<MT1,MT2>, VT >
894 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
895 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
896 IsSparseVector<VT>::value && IsColumnVector<VT>::value
897 ,
typename SMatSVecMultExprTrait< MT1, typename SMatSVecMultExprTrait<MT2,VT>::Type >::Type
898 , INVALID_TYPE >::Type Type;
907 template<
typename VT,
typename MT1,
typename MT2 >
908 struct TDVecSMatMultExprTrait< VT, SMatSMatMultExpr<MT1,MT2> >
912 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
913 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
914 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
915 ,
typename TDVecSMatMultExprTrait< typename TDVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
916 , INVALID_TYPE >::Type Type;
925 template<
typename VT,
typename MT1,
typename MT2 >
926 struct TSVecSMatMultExprTrait< VT, SMatSMatMultExpr<MT1,MT2> >
930 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
931 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
932 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
933 ,
typename TSVecSMatMultExprTrait< typename TSVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
934 , INVALID_TYPE >::Type Type;
943 template<
typename MT1,
typename MT2,
bool AF >
944 struct SubmatrixExprTrait< SMatSMatMultExpr<MT1,MT2>, AF >
948 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
949 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
958 template<
typename MT1,
typename MT2 >
959 struct RowExprTrait< SMatSMatMultExpr<MT1,MT2> >
963 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
972 template<
typename MT1,
typename MT2 >
973 struct ColumnExprTrait< SMatSMatMultExpr<MT1,MT2> >
977 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:4579
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
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
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatSMatMultExpr.h:144
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 canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: SMatSMatMultExpr.h:319
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatSMatMultExpr.h:147
Header file for the sparse matrix SMP implementation.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2384
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: SMatSMatMultExpr.h:285
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.
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:253
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:115
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:145
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:113
Header file for the SparseMatrix base class.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatMultExpr.h:146
Constraint on the data type.
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
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatSMatMultExpr.h:148
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:233
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatSMatMultExpr.h:243
Header file for the multiplication trait.
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: SMatSMatMultExpr.h:327
SMatSMatMultExpr< MT1, MT2 > This
Type of this SMatSMatMultExpr instance.
Definition: SMatSMatMultExpr.h:143
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:152
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2388
Header file for the dense matrix SMP implementation.
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:297
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatSMatMultExpr.h:275
Header file for the SMatSVecMultExprTrait class template.
SMatSMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatSMatMultExpr class.
Definition: SMatSMatMultExpr.h:169
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatSMatMultExpr.h:309
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.
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
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatSMatMultExpr.h:264
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
const size_t SMP_SMATSMATMULT_THRESHOLD
SMP row-major sparse matrix/row-major sparse matrix multiplication threshold.This threshold represent...
Definition: Thresholds.h:589
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:184
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:326
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:155
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:114
#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
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatSMatMultExpr.h:149
#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:116