35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSMATMULTEXPR_H_
112 template<
typename MT1
114 class TSMatSMatMultExpr :
public SparseMatrix< TSMatSMatMultExpr<MT1,MT2>, true >
115 ,
private MatMatMultExpr
116 ,
private Computation
145 template<
typename T1,
typename T2,
typename T3 >
146 struct CanExploitSymmetry {
147 enum { value = ( IsRowMajorMatrix<T1>::value && IsSymmetric<T2>::value ) ||
148 ( IsColumnMajorMatrix<T1>::value && IsSymmetric<T3>::value ) };
160 template<
typename T1,
typename T2,
typename T3 >
161 struct IsEvaluationRequired {
162 enum { value = ( evaluateLeft || evaluateRight ) &&
163 !CanExploitSymmetry<T1,T2,T2>::value };
187 enum { smpAssignable = !evaluateLeft && MT1::smpAssignable &&
188 !evaluateRight && MT2::smpAssignable };
218 if(
lhs_.columns() != 0UL ) {
220 for(
size_t k=1UL; k<
lhs_.columns(); ++k ) {
245 return rhs_.columns();
297 template<
typename T >
299 return (
lhs_.canAlias( alias ) ||
rhs_.canAlias( alias ) );
309 template<
typename T >
311 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
344 template<
typename MT
364 TSMatSMatMultExpr::selectAssignKernel( ~lhs, A, B );
383 template<
typename MT3
386 static inline void selectAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
391 for(
size_t j=0UL; j<A.columns(); ++j ) {
392 const LeftIterator lend( A.end(j) );
393 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
394 const RightIterator rend( B.end(j) );
395 for( RightIterator relem=B.begin(j); relem!=rend; ++relem )
398 isDefault( C(lelem->index(),relem->index()) ) ) {
399 C(lelem->index(),relem->index()) = lelem->value() * relem->value();
402 C(lelem->index(),relem->index()) += lelem->value() * relem->value();
424 template<
typename MT >
425 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
438 assign( ~lhs, tmp * rhs.rhs_ );
456 template<
typename MT >
457 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
468 assign( ~lhs, rhs.lhs_ * tmp );
488 template<
typename MT >
489 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
519 template<
typename MT >
520 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
546 template<
typename MT
548 friend inline typename DisableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
566 TSMatSMatMultExpr::selectAddAssignKernel( ~lhs, A, B );
585 template<
typename MT3
588 static inline void selectAddAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
593 for(
size_t j=0UL; j<A.columns(); ++j ) {
594 const LeftIterator lend( A.end(j) );
595 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
596 const RightIterator rend( B.end(j) );
597 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
598 C(lelem->index(),relem->index()) += lelem->value() * relem->value();
621 template<
typename MT >
622 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
652 template<
typename MT >
653 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
683 template<
typename MT
702 TSMatSMatMultExpr::selectSubAssignKernel( ~lhs, A, B );
721 template<
typename MT3
724 static inline void selectSubAssignKernel( MT3& C,
const MT4& A,
const MT5& B )
729 for(
size_t j=0UL; j<A.columns(); ++j ) {
730 const LeftIterator lend( A.end(j) );
731 for( LeftIterator lelem=A.begin(j); lelem!=lend; ++lelem ) {
732 const RightIterator rend( B.end(j) );
733 for( RightIterator relem=B.begin(j); relem!=rend; ++relem ) {
734 C(lelem->index(),relem->index()) -= lelem->value() * relem->value();
757 template<
typename MT >
758 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
788 template<
typename MT >
789 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
830 template<
typename MT
832 friend inline typename EnableIf< IsEvaluationRequired<MT,MT1,MT2> >::Type
870 template<
typename MT >
871 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
901 template<
typename MT >
902 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
931 template<
typename MT
933 friend inline typename EnableIf< IsEvaluationRequired<MT,MT1,MT2> >::Type
971 template<
typename MT >
972 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1002 template<
typename MT >
1003 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1036 template<
typename MT
1038 friend inline typename EnableIf< IsEvaluationRequired<MT,MT1,MT2> >::Type
1076 template<
typename MT >
1077 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1107 template<
typename MT >
1108 friend inline typename EnableIf< CanExploitSymmetry<MT,MT1,MT2> >::Type
1184 template<
typename T1
1186 inline const TSMatSMatMultExpr<T1,T2>
1192 throw std::invalid_argument(
"Matrix sizes do not match" );
1209 template<
typename MT1,
typename MT2 >
1227 template<
typename MT1,
typename MT2 >
1229 :
public Columns<MT2>
1245 template<
typename MT1,
typename MT2 >
1247 :
public IsTrue< IsLower<MT1>::value && IsLower<MT2>::value >
1263 template<
typename MT1,
typename MT2 >
1265 :
public IsTrue< IsUpper<MT1>::value && IsUpper<MT2>::value >
1281 template<
typename MT1,
typename MT2,
typename VT >
1286 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1287 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
1288 IsDenseVector<VT>::value && IsColumnVector<VT>::value
1289 ,
typename TSMatDVecMultExprTrait< MT1, typename SMatDVecMultExprTrait<MT2,VT>::Type >::Type
1290 , INVALID_TYPE >::Type Type;
1299 template<
typename MT1,
typename MT2,
typename VT >
1304 typedef typename SelectType< IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1305 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value &&
1306 IsSparseVector<VT>::value && IsColumnVector<VT>::value
1307 ,
typename TSMatDVecMultExprTrait< MT1, typename SMatDVecMultExprTrait<MT2,VT>::Type >::Type
1308 , INVALID_TYPE >::Type Type;
1317 template<
typename VT,
typename MT1,
typename MT2 >
1322 typedef typename SelectType< IsDenseVector<VT>::value && IsRowVector<VT>::value &&
1323 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1324 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
1325 ,
typename TDVecSMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
1326 , INVALID_TYPE >::Type Type;
1335 template<
typename VT,
typename MT1,
typename MT2 >
1340 typedef typename SelectType< IsSparseVector<VT>::value && IsRowVector<VT>::value &&
1341 IsSparseMatrix<MT1>::value && IsColumnMajorMatrix<MT1>::value &&
1342 IsSparseMatrix<MT2>::value && IsRowMajorMatrix<MT2>::value
1343 ,
typename TDVecSMatMultExprTrait< typename TDVecTSMatMultExprTrait<VT,MT1>::Type, MT2 >::Type
1344 , INVALID_TYPE >::Type Type;
1353 template<
typename MT1,
typename MT2,
bool AF >
1358 typedef typename MultExprTrait< typename SubmatrixExprTrait<const MT1,AF>::Type
1359 ,
typename SubmatrixExprTrait<const MT2,AF>::Type >::Type Type;
1368 template<
typename MT1,
typename MT2 >
1373 typedef typename MultExprTrait< typename RowExprTrait<const MT1>::Type, MT2 >::Type Type;
1382 template<
typename MT1,
typename MT2 >
1387 typedef typename MultExprTrait< MT1, typename ColumnExprTrait<const MT2>::Type >::Type Type;
size_t rows() const
Returns the current number of rows of the matrix.
Definition: TSMatSMatMultExpr.h:234
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSMatSMatMultExpr.h:328
Header file for the SMatDVecMultExprTrait class template.
RightOperand rightOperand() const
Returns the right-hand side sparse matrix operand.
Definition: TSMatSMatMultExpr.h:286
Header file for the Rows type trait.
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:4838
ResultType::OppositeType OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: TSMatSMatMultExpr.h:172
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: TSMatSMatMultExpr.h:212
ResultType::TransposeType TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:173
Header file for the IsSparseMatrix type trait.
Efficient implementation of a compressed matrix.The CompressedMatrix class template is the represent...
Definition: CompressedMatrix.h:205
Header file for the ColumnExprTrait class template.
bool isAliased(const T *alias) const
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSMatMultExpr.h:310
Header file for the IsColumnMajorMatrix type trait.
bool canAlias(const T *alias) const
Returns whether the expression can alias with the given address alias.
Definition: TSMatSMatMultExpr.h:298
Header file for the TSVecTSMatMultExprTrait class template.
MT2::ResultType RT2
Result type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:121
const This & CompositeType
Data type for composite expression templates.
Definition: CompressedMatrix.h:2478
Header file for the IsRowVector type trait.
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:257
void UNUSED_PARAMETER(const T1 &)
Suppression of unused parameter warnings.
Definition: Unused.h:81
Header file for the TDVecSMatMultExprTrait class template.
SelectType< IsExpression< MT1 >::value, const MT1, const MT1 & >::Type LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:179
const DMatSerialExpr< MT, SO > serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:695
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
bool canSMPAssign() const
Returns whether the expression can be used in SMP assignments.
Definition: TSMatSMatMultExpr.h:320
Header file for the RequiresEvaluation type trait.
Header file for the TSVecSMatMultExprTrait class template.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSMatMultExpr.h:176
CompressedMatrix< Type, false > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: CompressedMatrix.h:2474
MT2::CompositeType CT2
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:123
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
const size_t SMP_TSMATSMATMULT_THRESHOLD
SMP column-major sparse matrix/row-major sparse matrix multiplication threshold.This threshold specif...
Definition: Thresholds.h:1156
Header file for the SparseMatrix base class.
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatSMatMultExpr.h:327
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
MT1::ResultType RT1
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:120
TSMatSMatMultExpr< MT1, MT2 > This
Type of this TSMatSMatMultExpr instance.
Definition: TSMatSMatMultExpr.h:170
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.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:175
Header file for the multiplication trait.
Header file for the IsSymmetric type trait.
#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
const Element * ConstIterator
Iterator over constant elements.
Definition: CompressedMatrix.h:2482
Header file for the TDVecTSMatMultExprTrait class template.
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.
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 complete DynamicVector implementation.
Header file for the EnableIf class template.
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
size_t nonZeros() const
Returns the number of non-zero elements in the sparse matrix.
Definition: TSMatSMatMultExpr.h:254
SelectType< IsExpression< MT2 >::value, const MT2, const MT2 & >::Type RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:182
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.
#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
Header file for run time assertion macros.
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:142
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
size_t columns() const
Returns the current number of columns of the matrix.
Definition: TSMatSMatMultExpr.h:244
TSMatSMatMultExpr(const MT1 &lhs, const MT2 &rhs)
Constructor for the TSMatSMatMultExpr class.
Definition: TSMatSMatMultExpr.h:197
MultTrait< RT1, RT2 >::Type ResultType
Result type for expression template evaluations.
Definition: TSMatSMatMultExpr.h:171
size_t nonZeros(size_t i) const
Returns the number of non-zero elements in the specified row.
Definition: TSMatSMatMultExpr.h:265
Header file for the isDefault shim.
BLAZE_ALWAYS_INLINE bool isDefault(const NonNumericProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: NonNumericProxy.h:874
Constraint on the data type.
LeftOperand leftOperand() const
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSMatMultExpr.h:276
ResultType::ElementType ElementType
Resulting element type.
Definition: TSMatSMatMultExpr.h:174
Expression object for transpose sparse matrix-sparse matrix multiplications.The TSMatSMatMultExpr cla...
Definition: Forward.h:140
Substitution Failure Is Not An Error (SFINAE) class.The DisableIf class template is an auxiliary tool...
Definition: DisableIf.h:184
MT1::CompositeType CT1
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSMatMultExpr.h:122
Header file for the IsDenseVector type trait.
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:932
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:2473
Header file for the IsTrue value trait.
Header file for basic type definitions.
Header file for the IsUpper type trait.
Header file for the IsColumnVector type trait.
Constraint on the data type.
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
#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.
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