35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATSMATMULTEXPR_H_
103 template<
typename MT1
105 class SMatSMatMultExpr :
public SparseMatrix< SMatSMatMultExpr<MT1,MT2>, false >
106 ,
private MatMatMultExpr
107 ,
private Computation
133 template<
typename MT >
134 struct UseSMPAssign {
135 enum { value = ( evaluateLeft || evaluateRight ) };
159 enum { smpAssignable = !evaluateLeft && MT1::smpAssignable &&
160 !evaluateRight && MT2::smpAssignable };
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
383 static inline void selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
388 for(
size_t i=0UL; i<C.rows(); ++i ) {
389 const LeftIterator lend( A.end(i) );
390 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
391 const RightIterator rend( B.end( lelem->index() ) );
392 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem )
396 C(i,relem->index()) = lelem->value() * relem->value();
399 C(i,relem->index()) += lelem->value() * relem->value();
421 template<
typename MT >
443 size_t nonzeros( 0UL );
445 for(
size_t i=0UL; i<(~lhs).
rows(); ++i ) {
446 const LeftIterator lend( A.end(i) );
447 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
448 nonzeros += B.nonZeros( lelem->index() );
452 if( nonzeros > (~lhs).rows() * (~lhs).
columns() ) {
456 (~lhs).reserve( nonzeros );
461 std::vector<byte> valid ( (~lhs).
columns(), 0 );
462 std::vector<size_t> indices( (~lhs).
columns(), 0UL );
463 size_t minIndex(
inf ), maxIndex( 0UL );
465 for(
size_t i=0UL; i<(~lhs).
rows(); ++i )
467 const LeftIterator lend( A.end(i) );
468 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem )
470 const RightIterator rend( B.end( lelem->index() ) );
471 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem )
473 if( !valid[relem->index()] ) {
474 values[relem->index()] = lelem->value() * relem->value();
475 valid [relem->index()] = 1;
476 indices[nonzeros] = relem->index();
478 if( relem->index() < minIndex ) minIndex = relem->index();
479 if( relem->index() > maxIndex ) maxIndex = relem->index();
482 values[relem->index()] += lelem->value() * relem->value();
493 if( ( nonzeros + nonzeros ) < ( maxIndex - minIndex ) )
495 std::sort( indices.begin(), indices.begin() + nonzeros );
497 for(
size_t j=0UL; j<nonzeros; ++j )
499 const size_t index( indices[j] );
501 (~lhs).append( i, index, values[index] );
502 reset( values[index] );
505 reset( valid [index] );
509 for(
size_t j=minIndex; j<=maxIndex; ++j )
512 (~lhs).append( i, j, values[j] );
525 (~lhs).finalize( i );
544 template<
typename MT >
556 (~lhs).reserve( tmp.nonZeros() );
575 template<
typename MT
594 SMatSMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
613 template<
typename MT3
616 static inline void selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
621 for(
size_t i=0UL; i<C.rows(); ++i ) {
622 const LeftIterator lend( A.end(i) );
623 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
624 const RightIterator rend( B.end( lelem->index() ) );
625 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem ) {
626 C(i,relem->index()) += lelem->value() * relem->value();
651 template<
typename MT
670 SMatSMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
689 template<
typename MT3
692 static inline void selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
697 for(
size_t i=0UL; i<C.rows(); ++i ) {
698 const LeftIterator lend( A.end(i) );
699 for( LeftIterator lelem=A.begin(i); lelem!=lend; ++lelem ) {
700 const RightIterator rend( B.end( lelem->index() ) );
701 for( RightIterator relem=B.begin( lelem->index() ); relem!=rend; ++relem ) {
702 C(i,relem->index()) -= lelem->value() * relem->value();
737 template<
typename MT
739 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
777 template<
typename MT
779 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
817 template<
typename MT
819 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
861 template<
typename MT
863 friend inline typename EnableIf< UseSMPAssign<MT> >::Type
945 template<
typename T1
947 inline const SMatSMatMultExpr<T1,T2>
953 throw std::invalid_argument(
"Matrix sizes do not match" );
970 template<
typename MT1,
typename MT2,
typename VT >
975 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
976 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
977 IsDenseVector<VT>::value && IsColumnVector<VT>::value
978 ,
typename SMatDVecMultExprTrait< MT1, typename SMatDVecMultExprTrait<MT2,VT>::Type >::Type
979 , INVALID_TYPE >::Type Type;
988 template<
typename MT1,
typename MT2,
typename VT >
993 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
994 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
995 IsSparseVector<VT>::value && IsColumnVector<VT>::value
996 ,
typename SMatSVecMultExprTrait< MT1, typename SMatSVecMultExprTrait<MT2,VT>::Type >::Type
997 , INVALID_TYPE >::Type Type;
1006 template<
typename VT,
typename MT1,
typename MT2 >
1011 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
1012 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
1013 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
1014 ,
typename TDVecSMatMultExprTrait< typename TDVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
1015 , INVALID_TYPE >::Type Type;
1024 template<
typename VT,
typename MT1,
typename MT2 >
1029 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
1030 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
1031 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
1032 ,
typename TSVecSMatMultExprTrait< typename TSVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
1033 , INVALID_TYPE >::Type Type;
1042 template<
typename MT1,
typename MT2,
bool AF >
1047 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1048 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1057 template<
typename MT1,
typename MT2 >
1062 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
1071 template<
typename MT1,
typename MT2 >
1076 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:4599
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:4329
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:152
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatSMatMultExpr.h:143
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:4642
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:199
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:146
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2408
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:251
void UNUSED_PARAMETER(const T1 &)
Suppression of unused parameter warnings.
Definition: Unused.h:84
Header file for the TDVecSMatMultExprTrait class template.
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:690
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:113
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:107
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatSMatMultExpr.h:144
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:111
Header file for the SparseMatrix base class.
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatSMatMultExpr.h:145
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:122
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:147
Compile time type selection.The SelectType class template selects one of the two given types T1 and T...
Definition: SelectType.h:59
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:142
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatSMatMultExpr.h:151
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2412
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:271
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.
const size_t SMP_SMATSMATMULT_THRESHOLD
SMP row-major sparse matrix/row-major sparse matrix multiplication threshold.This threshold specifies...
Definition: Thresholds.h:1110
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 serial shim.
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:92
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:97
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:301
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:331
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.
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:154
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:112
#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:2403
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.
#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:148
#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:114