35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATTSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATTSMATMULTEXPR_H_
120 template<
typename MT1
122 class TSMatTSMatMultExpr :
public SparseMatrix< TSMatTSMatMultExpr<MT1,MT2>, true >
123 ,
private MatMatMultExpr
124 ,
private Computation
151 template<
typename T1,
typename T2,
typename T3 >
152 struct CanExploitSymmetry {
153 enum { value = IsRowMajorMatrix<T1>::value &&
154 IsSymmetric<T2>::value && IsSymmetric<T3>::value };
166 template<
typename T1,
typename T2,
typename T3 >
167 struct IsEvaluationRequired {
168 enum { value = ( evaluateLeft || evaluateRight ) &&
169 !CanExploitSymmetry<T1,T2,T3>::value };
193 enum { smpAssignable = !evaluateLeft && MT1::smpAssignable &&
194 !evaluateRight && MT2::smpAssignable };
227 if(
lhs_.columns() == 0UL )
244 tmp =
lhs_(i,element->index()) * element->value();
246 for( ; element!=
end; ++element ) {
247 tmp +=
lhs_(i,element->index()) * element->value();
258 tmp =
lhs_(i,kbegin) *
rhs_(kbegin,j);
259 for(
size_t k=kbegin+1UL; k<kend; ++k ) {
276 inline ReturnType
at(
size_t i,
size_t j )
const {
277 if( i >=
lhs_.rows() ) {
280 if( j >=
rhs_.columns() ) {
303 return rhs_.columns();
355 template<
typename T >
357 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
367 template<
typename T >
369 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
379 return (
rows() > SMP_TSMATTSMATMULT_THRESHOLD );
402 template<
typename MT
412 CT1 A(
serial( rhs.lhs_ ) );
413 CT2 B(
serial( rhs.rhs_ ) );
422 TSMatTSMatMultExpr::selectAssignKernel( ~lhs, A, B );
441 template<
typename MT3
444 static inline void selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
449 for(
size_t j=0UL; j<C.columns(); ++j ) {
450 const RightIterator rend( B.end(j) );
451 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
452 const LeftIterator lend( A.end( relem->index() ) );
453 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem )
457 C(lelem->index(),j) = lelem->value() * relem->value();
460 C(lelem->index(),j) += lelem->value() * relem->value();
482 template<
typename MT >
483 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
496 const ResultType tmp(
serial( rhs ) );
497 (~lhs).reserve( tmp.nonZeros() );
516 template<
typename MT >
517 friend inline void assign( SparseMatrix<MT,true>& lhs,
const TSMatTSMatMultExpr& rhs )
527 CT1 A(
serial( rhs.lhs_ ) );
528 CT2 B(
serial( rhs.rhs_ ) );
538 size_t nonzeros( 0UL );
540 for(
size_t j=0UL; j<(~lhs).
columns(); ++j ) {
541 const RightIterator rend( B.end(j) );
542 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
543 nonzeros += A.nonZeros( relem->index() );
547 if( nonzeros > (~lhs).rows() * (~lhs).
columns() ) {
551 (~lhs).reserve( nonzeros );
556 std::vector<byte> valid ( (~lhs).
rows(), 0 );
557 std::vector<size_t> indices( (~lhs).
rows(), 0UL );
558 size_t minIndex(
inf ), maxIndex( 0UL );
560 for(
size_t j=0UL; j<(~lhs).
columns(); ++j )
562 const RightIterator rend( B.end(j) );
563 for( RightIterator relem=B.begin(j); relem!=rend; ++relem )
565 const LeftIterator lend( A.end( relem->index() ) );
566 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem )
568 if( !valid[lelem->index()] ) {
569 values[lelem->index()] = lelem->value() * relem->value();
570 valid [lelem->index()] = 1;
571 indices[nonzeros] = lelem->index();
573 if( lelem->index() < minIndex ) minIndex = lelem->index();
574 if( lelem->index() > maxIndex ) maxIndex = lelem->index();
577 values[lelem->index()] += lelem->value() * relem->value();
588 if( ( nonzeros + nonzeros ) < ( maxIndex - minIndex ) )
590 std::sort( indices.begin(), indices.begin() + nonzeros );
592 for(
size_t i=0UL; i<nonzeros; ++i )
594 const size_t index( indices[i] );
596 (~lhs).append( index, j, values[index] );
597 reset( values[index] );
600 reset( valid [index] );
604 for(
size_t i=minIndex; i<=maxIndex; ++i )
607 (~lhs).append( i, j, values[i] );
620 (~lhs).finalize( j );
641 template<
typename MT >
642 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
652 assign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
670 template<
typename MT
672 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
680 CT1 A(
serial( rhs.lhs_ ) );
681 CT2 B(
serial( rhs.rhs_ ) );
690 TSMatTSMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
709 template<
typename MT3
712 static inline void selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
717 for(
size_t j=0UL; j<C.columns(); ++j ) {
718 const RightIterator rend( B.end(j) );
719 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
720 const LeftIterator lend( A.end( relem->index() ) );
721 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem ) {
722 C(lelem->index(),j) += lelem->value() * relem->value();
745 template<
typename MT >
746 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
756 addAssign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
778 template<
typename MT
780 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
791 CT1 A(
serial( rhs.lhs_ ) );
792 CT2 B(
serial( rhs.rhs_ ) );
801 TSMatTSMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
820 template<
typename MT3
823 static inline void selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
828 for(
size_t j=0UL; j<C.columns(); ++j ) {
829 const RightIterator rend( B.end(j) );
830 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
831 const LeftIterator lend( A.end( relem->index() ) );
832 for( LeftIterator lelem=A.begin( relem->index() ); lelem!=lend; ++lelem ) {
833 C(lelem->index(),j) -= lelem->value() * relem->value();
857 template<
typename MT >
858 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
868 subAssign( ~lhs,
trans( rhs.lhs_ ) *
trans( rhs.rhs_ ) );
901 template<
typename MT
903 friend inline typename EnableIf< IsEvaluationRequired<MT,MT1,MT2> >::Type
941 template<
typename MT >
942 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
973 template<
typename MT
975 friend inline typename EnableIf< IsEvaluationRequired<MT,MT1,MT2> >::Type
1014 template<
typename MT >
1015 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1050 template<
typename MT
1052 friend inline typename EnableIf< IsEvaluationRequired<MT,MT1,MT2> >::Type
1091 template<
typename MT >
1092 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1167 template<
typename T1
1169 inline const TSMatTSMatMultExpr<T1,T2>
1193 template<
typename MT1,
typename MT2 >
1210 template<
typename MT1,
typename MT2 >
1227 template<
typename MT1,
typename MT2 >
1229 :
public IsTrue< And< IsLower<MT1>, IsLower<MT2> >::value >
1245 template<
typename MT1,
typename MT2 >
1247 :
public IsTrue< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1263 template<
typename MT1,
typename MT2 >
1265 :
public IsTrue< Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
1266 , And< IsStrictlyLower<MT2>, IsLower<MT1> > >::value >
1282 template<
typename MT1,
typename MT2 >
1284 :
public IsTrue< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1300 template<
typename MT1,
typename MT2 >
1302 :
public IsTrue< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1318 template<
typename MT1,
typename MT2 >
1320 :
public IsTrue< Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
1321 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> > >::value >
1337 template<
typename MT1,
typename MT2,
typename VT >
1342 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1343 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1344 IsDenseVector<VT>::value && IsColumnVector<VT>::value
1345 ,
typename TSMatDVecMultExprTrait< MT1, typename TSMatDVecMultExprTrait<MT2,VT>::Type >::Type
1346 , INVALID_TYPE >::Type Type;
1355 template<
typename MT1,
typename MT2,
typename VT >
1360 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1361 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value &&
1362 IsSparseVector<VT>::value && IsColumnVector<VT>::value
1363 ,
typename TSMatDVecMultExprTrait< MT1, typename TSMatDVecMultExprTrait<MT2,VT>::Type >::Type
1364 , INVALID_TYPE >::Type Type;
1373 template<
typename VT,
typename MT1,
typename MT2 >
1378 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
1379 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1380 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
1381 ,
typename TDVecTSMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
1382 , INVALID_TYPE >::Type Type;
1391 template<
typename VT,
typename MT1,
typename MT2 >
1396 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
1397 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1398 IsSparseMatrix<MT2>::value && IsColumnMajorMatrix<MT2>::value
1399 ,
typename TSVecTSMatMultExprTrait< typename TSVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
1400 , INVALID_TYPE >::Type Type;
1409 template<
typename MT1,
typename MT2,
bool AF >
1414 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1415 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1424 template<
typename MT1,
typename MT2 >
1429 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
1438 template<
typename MT1,
typename MT2 >
1443 typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
const MT::ElementType max(const DenseMatrix< MT, SO > &dm)
Returns the largest element of the dense matrix.
Definition: DenseMatrix.h:1729
Header file for mathematical functions.
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:7820
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:188
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:181
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:250
Header file for the IsSparseMatrix type trait.
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:207
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:179
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:507
Header file for the TSVecTSMatMultExprTrait class template.
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2588
Header file for the IsRowVector type trait.
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:259
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatTSMatMultExpr.h:356
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
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:721
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.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatTSMatMultExpr.h:368
Header file for the IsUniLower type trait.
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatTSMatMultExpr.h:334
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:117
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:547
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: TSMatTSMatMultExpr.h:276
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
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatTSMatMultExpr.h:292
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.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
#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: ColumnMajorMatrix.h:79
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2592
Header file for the Or class template.
Header file for the TDVecTSMatMultExprTrait class template.
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatTSMatMultExpr.h:323
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:130
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exceptionThis macro encapsulates the default way of Bla...
Definition: Exception.h:331
const MT::ElementType min(const DenseMatrix< MT, SO > &dm)
Returns the smallest element of the dense matrix.
Definition: DenseMatrix.h:1682
Header file for the Columns type trait.
Header file for the TSMatDVecMultExprTrait class template.
Numerical infinity for built-in data types.
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSMatTSMatMultExpr.h:386
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:158
TSMatTSMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatTSMatMultExpr class.
Definition: TSMatTSMatMultExpr.h:203
Header file for the IsLower type trait.
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatTSMatMultExpr.h:385
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:131
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 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
Header file for the byte type.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatTSMatMultExpr.h:218
RightOperand rightOperand() const
Returns the right-hand side transpose sparse matrix operand.
Definition: TSMatTSMatMultExpr.h:344
Compile time check for resizable data types.This type trait tests whether the given data type is a re...
Definition: IsResizable.h:75
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
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.
Removal of reference modifiers.The RemoveCV type trait removes any reference modifiers from the given...
Definition: RemoveReference.h:69
Header file for run time assertion macros.
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:178
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:138
Header file for the reset shim.
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatTSMatMultExpr.h:302
Header file for the isDefault shim.
Constraint on the data type.
Constraints on the storage order of matrix types.
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
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatTSMatMultExpr.h:177
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.
TSMatTSMatMultExpr< MT1, MT2 > This
Type of this TSMatTSMatMultExpr instance.
Definition: TSMatTSMatMultExpr.h:176
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatTSMatMultExpr.h:182
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatTSMatMultExpr.h:180
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:944
Header file for the IsComputation type trait class.
Header file for the IsBuiltin type trait.
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
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.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:2583
Header file for the IsTrue value trait.
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatTSMatMultExpr.h:312
Header file for the IsUpper type trait.
Header file for exception macros.
Header file for the IsColumnVector type trait.
Constraint on the data type.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:185
Header file for the IsResizable type trait.
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: TSMatTSMatMultExpr.h:378
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
Header file for the IsExpression type trait class.
Header file for the TSMatSVecMultExprTrait class template.
Header file for the FunctionTrace class.
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatTSMatMultExpr.h:128