35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATMULTEXPR_H_
115 template<
typename MT1
117 class SMatTSMatMultExpr :
public SparseMatrix< SMatTSMatMultExpr<MT1,MT2>, false >
118 ,
private MatMatMultExpr
119 ,
private Computation
138 template<
typename T1,
typename T2,
typename T3 >
139 struct CanExploitSymmetry {
165 enum { smpAssignable = 0 };
199 if(
lhs_.columns() == 0UL )
209 const LeftIterator lend( A.end(i) );
210 LeftIterator lelem( A.begin(i) );
215 const RightIterator rend( B.end(j) );
216 RightIterator relem( B.begin(j) );
219 if( lelem == lend || relem == rend )
224 if( lelem->index() < relem->index() ) {
226 if( lelem == lend )
break;
228 else if( relem->index() < lelem->index() ) {
230 if( relem == rend )
break;
233 tmp = lelem->value() * relem->value();
240 if( lelem != lend && relem != rend )
243 if( lelem->index() < relem->index() ) {
245 if( lelem == lend )
break;
247 else if( relem->index() < lelem->index() ) {
249 if( relem == rend )
break;
252 tmp += lelem->value() * relem->value();
254 if( lelem == lend )
break;
256 if( relem == rend )
break;
276 tmp = element->value() *
rhs_(element->index(),j);
278 for( ; element!=
end; ++element ) {
279 tmp += element->value() *
rhs_(element->index(),j);
297 tmp =
lhs_(i,element->index()) * element->value();
299 for( ; element!=
end; ++element ) {
300 tmp +=
lhs_(i,element->index()) * element->value();
311 tmp =
lhs_(i,kbegin) *
rhs_(kbegin,j);
312 for(
size_t k=kbegin+1UL; k<kend; ++k ) {
337 return rhs_.columns();
389 template<
typename T >
391 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
401 template<
typename T >
403 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
436 template<
typename MT >
448 assign( ~lhs, rhs.lhs_ * tmp );
468 template<
typename MT >
495 template<
typename MT >
496 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
509 assign( ~lhs, tmp * rhs.rhs_ );
529 template<
typename MT >
530 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
558 template<
typename MT >
559 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
590 template<
typename MT >
591 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
617 template<
typename MT >
618 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
651 template<
typename MT >
652 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
684 template<
typename MT >
685 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
716 template<
typename MT >
717 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
743 template<
typename MT >
744 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
777 template<
typename MT >
778 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
820 template<
typename MT >
821 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
852 template<
typename MT >
853 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
881 template<
typename MT >
882 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
915 template<
typename MT >
916 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
946 template<
typename MT >
947 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
978 template<
typename MT >
979 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1012 template<
typename MT >
1013 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1041 template<
typename MT >
1042 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1076 template<
typename MT >
1077 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1108 template<
typename MT >
1109 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1142 template<
typename MT >
1143 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1171 template<
typename MT >
1172 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1250 template<
typename T1
1252 inline const SMatTSMatMultExpr<T1,T2>
1258 throw std::invalid_argument(
"Matrix sizes do not match" );
1275 template<
typename MT1,
typename MT2 >
1276 struct Rows< SMatTSMatMultExpr<MT1,MT2> >
1293 template<
typename MT1,
typename MT2 >
1294 struct Columns< SMatTSMatMultExpr<MT1,MT2> >
1295 :
public Columns<MT2>
1311 template<
typename MT1,
typename MT2 >
1312 struct IsLower< SMatTSMatMultExpr<MT1,MT2> >
1313 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
1329 template<
typename MT1,
typename MT2 >
1330 struct IsUniLower< SMatTSMatMultExpr<MT1,MT2> >
1331 :
public IsTrue< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1347 template<
typename MT1,
typename MT2 >
1348 struct IsStrictlyLower< SMatTSMatMultExpr<MT1,MT2> >
1349 :
public IsTrue< Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
1350 , And< IsStrictlyLower<MT2>, IsLower<MT1> > >::value >
1366 template<
typename MT1,
typename MT2 >
1367 struct IsUpper< SMatTSMatMultExpr<MT1,MT2> >
1368 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1384 template<
typename MT1,
typename MT2 >
1385 struct IsUniUpper< SMatTSMatMultExpr<MT1,MT2> >
1386 :
public IsTrue< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1402 template<
typename MT1,
typename MT2 >
1403 struct IsStrictlyUpper< SMatTSMatMultExpr<MT1,MT2> >
1404 :
public IsTrue< Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
1405 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> > >::value >
1421 template<
typename MT1,
typename MT2,
typename VT >
1422 struct SMatDVecMultExprTrait< SMatTSMatMultExpr<MT1,MT2>, VT >
1426 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
1427 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1428 IsDenseVector<VT>::value && IsColumnVector<VT>::value
1429 ,
typename SMatDVecMultExprTrait< MT1, typename TSMatDVecMultExprTrait<MT2,VT>::Type >::Type
1430 , INVALID_TYPE >::Type Type;
1439 template<
typename MT1,
typename MT2,
typename VT >
1440 struct SMatSVecMultExprTrait< SMatTSMatMultExpr<MT1,MT2>, VT >
1444 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
1445 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1446 IsSparseVector<VT>::value && IsColumnVector<VT>::value
1447 ,
typename SMatSVecMultExprTrait< MT1, typename TSMatSVecMultExprTrait<MT2,VT>::Type >::Type
1448 , INVALID_TYPE >::Type Type;
1457 template<
typename VT,
typename MT1,
typename MT2 >
1458 struct TDVecSMatMultExprTrait< VT, SMatTSMatMultExpr<MT1,MT2> >
1462 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
1463 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
1464 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
1465 ,
typename TDVecTSMatMultExprTrait< typename TDVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
1466 , INVALID_TYPE >::Type Type;
1475 template<
typename VT,
typename MT1,
typename MT2 >
1476 struct TSVecSMatMultExprTrait< VT, SMatTSMatMultExpr<MT1,MT2> >
1480 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
1481 IsSparseMatrix<MT1>::value && IsRowMajorMatrix<MT1>::value &&
1482 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
1483 ,
typename TDVecTSMatMultExprTrait< typename TDVecSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
1484 , INVALID_TYPE >::Type Type;
1493 template<
typename MT1,
typename MT2,
bool AF >
1494 struct SubmatrixExprTrait< SMatTSMatMultExpr<MT1,MT2>, AF >
1498 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1499 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1508 template<
typename MT1,
typename MT2 >
1509 struct RowExprTrait< SMatTSMatMultExpr<MT1,MT2> >
1513 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
1522 template<
typename MT1,
typename MT2 >
1523 struct ColumnExprTrait< SMatTSMatMultExpr<MT1,MT2> >
1527 typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:149
const MT::ElementType max(const DenseMatrix< MT, SO > &dm)
Returns the largest element of the dense matrix.
Definition: DenseMatrix.h:1649
Header file for the SMatDVecMultExprTrait class template.
Header file for the Rows type trait.
Header file for the UNUSED_PARAMETER function template.
Header file for the IsUniUpper type trait.
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:8247
Header file for basic type definitions.
BLAZE_ALWAYS_INLINE MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:258
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:157
Header file for the IsSparseMatrix type trait.
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:209
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatMultExpr.h:346
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
Header file for the TSVecTSMatMultExprTrait class template.
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:160
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2507
Header file for the IsRowVector type trait.
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:261
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix)
Returns the current number of rows of the matrix.
Definition: Matrix.h:316
void UNUSED_PARAMETER(const T1 &)
Suppression of unused parameter warnings.
Definition: Unused.h:81
Header file for the And class template.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:90
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:699
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:90
Header file for the RequiresEvaluation type trait.
Header file for the TSVecSMatMultExprTrait class template.
Header file for the IsUniLower type trait.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: SMatTSMatMultExpr.h:336
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2503
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:107
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: SMatTSMatMultExpr.h:412
Header file for the SparseMatrix base class.
SMatTSMatMultExpr< MT1, MT2 > This
Type of this SMatTSMatMultExpr instance.
Definition: SMatTSMatMultExpr.h:148
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:153
Constraint on the data type.
Expression object for sparse matrix-transpose sparse matrix multiplications.The SMatTSMatMultExpr cla...
Definition: Forward.h:105
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
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.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:125
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:104
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:151
#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
Header file for the Or class template.
Header file for the TDVecTSMatMultExprTrait class template.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:123
const MT::ElementType min(const DenseMatrix< MT, SO > &dm)
Returns the smallest element of the dense matrix.
Definition: DenseMatrix.h:1602
BLAZE_ALWAYS_INLINE 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:635
Header file for the Columns type trait.
Header file for the TSMatDVecMultExprTrait class template.
Header file for the IsLower type trait.
Header file for the SMatSVecMultExprTrait class template.
Constraints on the storage order of matrix types.
Compile time check for symmetric matrices.This type trait tests whether or not the given template par...
Definition: IsSymmetric.h:85
Header file for the SelectType class template.
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatMultExpr.h:402
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatMultExpr.h:378
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
Header file for the serial shim.
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATMATMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/matrix ...
Definition: MatMatMultExpr.h:165
ResultType::ElementType ElementType
Resulting element type.
Definition: SMatTSMatMultExpr.h:152
const size_t SMP_SMATTSMATMULT_THRESHOLD
SMP row-major sparse matrix/column-major sparse matrix multiplication threshold.This threshold specif...
Definition: Thresholds.h:1133
EnableIf< IsDenseMatrix< MT1 > >::Type smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:160
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatMultExpr.h:154
Header file for the IsSparseVector type trait.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is a symmetric matrix type, a compilation error is created.
Definition: Symmetric.h:116
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
SMatTSMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the SMatTSMatMultExpr class.
Definition: SMatTSMatMultExpr.h:174
Header file for run time assertion macros.
Compile time check for column-major matrix types.This type trait tests whether or not the given templ...
Definition: IsColumnMajorMatrix.h:104
EnableIf< IsDenseMatrix< MT1 > >::Type smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs)
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:98
Utility type for generic codes.
Base template for the MultTrait class.
Definition: MultTrait.h:150
BLAZE_ALWAYS_INLINE 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:742
Substitution Failure Is Not An Error (SFINAE) class.The EnableIf class template is an auxiliary tool ...
Definition: EnableIf.h:184
Base class for matrices.The Matrix class is a base class for all dense and sparse matrix classes with...
Definition: Forward.h:87
Constraint on the data type.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatMultExpr.h:189
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatMultExpr.h:150
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatTSMatMultExpr.h:419
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.
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:126
size_t rows() const
Returns the current number of rows of the matrix.
Definition: SMatTSMatMultExpr.h:326
Header file for the IsRowMajorMatrix type trait.
const DMatTransExpr< MT,!SO > trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:937
Header file for the IsComputation type trait class.
EnableIf< IsDenseMatrix< MT1 > >::Type smpAddAssign(Matrix< 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:129
#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:2502
Header file for the IsTrue value trait.
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix)
Returns the current number of columns of the matrix.
Definition: Matrix.h:332
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatMultExpr.h:390
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: SMatTSMatMultExpr.h:420
Header file for the IsUpper type trait.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:124
Header file for the IsColumnVector type trait.
Constraint on the data type.
LeftOperand leftOperand() const
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatMultExpr.h:368
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
#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
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatMultExpr.h:357
Header file for the IsExpression type trait class.
Header file for the TSMatSVecMultExprTrait class template.
Header file for the FunctionTrace class.
BLAZE_ALWAYS_INLINE 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:849