35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATTSMATMULTEXPR_H_
36 #define _BLAZE_MATH_EXPRESSIONS_SMATTSMATMULTEXPR_H_
118 template<
typename MT1
120 class SMatTSMatMultExpr :
public SparseMatrix< SMatTSMatMultExpr<MT1,MT2>, false >
121 ,
private MatMatMultExpr
122 ,
private Computation
141 template<
typename T1,
typename T2,
typename T3 >
142 struct CanExploitSymmetry {
168 enum :
bool { smpAssignable =
false };
208 inline ReturnType
at(
size_t i,
size_t j )
const {
209 if( i >=
lhs_.rows() ) {
212 if( j >=
rhs_.columns() ) {
224 inline size_t rows() const noexcept {
235 return rhs_.columns();
244 inline constexpr
size_t nonZeros() const noexcept {
255 inline size_t nonZeros(
size_t i )
const noexcept {
287 template<
typename T >
288 inline bool canAlias(
const T* alias )
const noexcept {
289 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
299 template<
typename T >
300 inline bool isAliased(
const T* alias )
const noexcept {
301 return (
lhs_.isAliased( alias ) ||
rhs_.isAliased( alias ) );
311 return (
rows() *
columns() >= SMP_SMATTSMATMULT_THRESHOLD );
334 template<
typename MT >
346 assign( ~lhs, rhs.lhs_ * tmp );
366 template<
typename MT >
375 assign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
393 template<
typename MT >
394 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
406 const OppositeType_<MT1> tmp(
serial( rhs.lhs_ ) );
407 assign( ~lhs, tmp * rhs.rhs_ );
427 template<
typename MT >
428 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
438 assign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
456 template<
typename MT >
457 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
467 const OppositeType_<MT2> tmp(
serial( rhs.rhs_ ) );
468 addAssign( ~lhs, rhs.lhs_ * tmp );
488 template<
typename MT >
489 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
497 addAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
515 template<
typename MT >
516 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
528 const OppositeType_<MT1> tmp(
serial( rhs.lhs_ ) );
529 addAssign( ~lhs, tmp * rhs.rhs_ );
549 template<
typename MT >
550 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
560 addAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
582 template<
typename MT >
583 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
593 const OppositeType_<MT2> tmp(
serial( rhs.rhs_ ) );
594 subAssign( ~lhs, rhs.lhs_ * tmp );
614 template<
typename MT >
615 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
623 subAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
641 template<
typename MT >
642 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
654 const OppositeType_<MT1> tmp(
serial( rhs.lhs_ ) );
655 subAssign( ~lhs, tmp * rhs.rhs_ );
675 template<
typename MT >
676 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
686 subAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
718 template<
typename MT >
719 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
729 const OppositeType_<MT2> tmp( rhs.rhs_ );
750 template<
typename MT >
751 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
779 template<
typename MT >
780 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
792 const OppositeType_<MT1> tmp( rhs.lhs_ );
813 template<
typename MT >
814 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
844 template<
typename MT >
845 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
855 const OppositeType_<MT2> tmp( rhs.rhs_ );
876 template<
typename MT >
877 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
889 const OppositeType_<MT1> tmp( rhs.lhs_ );
910 template<
typename MT >
911 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
939 template<
typename MT >
940 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
974 template<
typename MT >
975 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
985 const OppositeType_<MT2> tmp( rhs.rhs_ );
1006 template<
typename MT >
1007 friend inline DisableIf_< CanExploitSymmetry<MT,MT1,MT2> >
1019 const OppositeType_<MT1> tmp( rhs.lhs_ );
1040 template<
typename MT >
1041 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
1069 template<
typename MT >
1070 friend inline EnableIf_< CanExploitSymmetry<MT,MT1,MT2> >
1148 template<
typename T1
1150 inline const SMatTSMatMultExpr<T1,T2>
1174 template<
typename MT1,
typename MT2 >
1175 struct Rows< SMatTSMatMultExpr<MT1,MT2> > :
public Rows<MT1>
1191 template<
typename MT1,
typename MT2 >
1192 struct Columns< SMatTSMatMultExpr<MT1,MT2> > :
public Columns<MT2>
1208 template<
typename MT1,
typename MT2 >
1209 struct IsLower< SMatTSMatMultExpr<MT1,MT2> >
1210 :
public BoolConstant< And< IsLower<MT1>, IsLower<MT2> >::value >
1226 template<
typename MT1,
typename MT2 >
1227 struct IsUniLower< SMatTSMatMultExpr<MT1,MT2> >
1228 :
public BoolConstant< And< IsUniLower<MT1>, IsUniLower<MT2> >::value >
1244 template<
typename MT1,
typename MT2 >
1245 struct IsStrictlyLower< SMatTSMatMultExpr<MT1,MT2> >
1246 :
public BoolConstant< Or< And< IsStrictlyLower<MT1>, IsLower<MT2> >
1247 , And< IsStrictlyLower<MT2>, IsLower<MT1> > >::value >
1263 template<
typename MT1,
typename MT2 >
1264 struct IsUpper< SMatTSMatMultExpr<MT1,MT2> >
1265 :
public BoolConstant< And< IsUpper<MT1>, IsUpper<MT2> >::value >
1281 template<
typename MT1,
typename MT2 >
1282 struct IsUniUpper< SMatTSMatMultExpr<MT1,MT2> >
1283 :
public BoolConstant< And< IsUniUpper<MT1>, IsUniUpper<MT2> >::value >
1299 template<
typename MT1,
typename MT2 >
1300 struct IsStrictlyUpper< SMatTSMatMultExpr<MT1,MT2> >
1301 :
public BoolConstant< Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
1302 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> > >::value >
1318 template<
typename MT1,
typename MT2,
typename VT >
1319 struct SMatDVecMultExprTrait< SMatTSMatMultExpr<MT1,MT2>, VT >
1323 using Type = If_< And< IsSparseMatrix<MT1>, IsRowMajorMatrix<MT1>
1324 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2>
1325 , IsDenseVector<VT>, IsColumnVector<VT> >
1326 , SMatDVecMultExprTrait_< MT1, TSMatDVecMultExprTrait_<MT2,VT> >
1336 template<
typename MT1,
typename MT2,
typename VT >
1337 struct SMatSVecMultExprTrait< SMatTSMatMultExpr<MT1,MT2>, VT >
1341 using Type = If_< And< IsSparseMatrix<MT1>, IsRowMajorMatrix<MT1>
1342 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2>
1343 , IsSparseVector<VT>, IsColumnVector<VT> >
1344 , SMatSVecMultExprTrait_< MT1, TSMatSVecMultExprTrait_<MT2,VT> >
1354 template<
typename VT,
typename MT1,
typename MT2 >
1355 struct TDVecSMatMultExprTrait< VT, SMatTSMatMultExpr<MT1,MT2> >
1359 using Type = If_< And< IsDenseVector<VT>, IsRowVector<VT>
1360 , IsSparseMatrix<MT1>, IsRowMajorMatrix<MT1>
1361 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2> >
1362 , TDVecTSMatMultExprTrait_< TDVecSMatMultExprTrait_<VT,MT1>, MT2 >
1372 template<
typename VT,
typename MT1,
typename MT2 >
1373 struct TSVecSMatMultExprTrait< VT, SMatTSMatMultExpr<MT1,MT2> >
1377 using Type = If_< And< IsSparseVector<VT>, IsRowVector<VT>
1378 , IsSparseMatrix<MT1>, IsRowMajorMatrix<MT1>
1379 , IsSparseMatrix<MT2>, IsColumnMajorMatrix<MT2> >
1380 , TDVecTSMatMultExprTrait_< TDVecSMatMultExprTrait_<VT,MT1>, MT2 >
1390 template<
typename MT1,
typename MT2,
bool AF >
1391 struct SubmatrixExprTrait< SMatTSMatMultExpr<MT1,MT2>, AF >
1395 using Type = MultExprTrait_< SubmatrixExprTrait_<const MT1,AF>
1396 , SubmatrixExprTrait_<const MT2,AF> >;
1405 template<
typename MT1,
typename MT2 >
1406 struct RowExprTrait< SMatTSMatMultExpr<MT1,MT2> >
1410 using Type = MultExprTrait_< RowExprTrait_<const MT1>, MT2 >;
1419 template<
typename MT1,
typename MT2 >
1420 struct ColumnExprTrait< SMatTSMatMultExpr<MT1,MT2> >
1424 using Type = MultExprTrait_< MT1, ColumnExprTrait_<const MT2> >;
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
ResultType_< MT1 > RT1
Result type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:126
OppositeType_< ResultType > OppositeType
Result type with opposite storage order for expression template evaluations.
Definition: SMatTSMatMultExpr.h:153
Header file for auxiliary alias declarations.
TransposeType_< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:154
Header file for mathematical functions.
Header file for the SMatDVecMultExprTrait class template.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatMultExpr.h:224
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:7800
Header file for basic type definitions.
EnableIf_< IsDenseMatrix< MT1 > > 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 IsSparseMatrix type trait.
Header file for the serial shim.
Header file for the ColumnExprTrait class template.
Header file for the IsColumnMajorMatrix type trait.
MultTrait_< RT1, RT2 > ResultType
Result type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:152
Header file for the TSVecTSMatMultExprTrait class template.
Header file for the IsRowVector type trait.
typename DisableIf< Condition, T >::Type DisableIf_
Auxiliary type for the DisableIf class template.The DisableIf_ alias declaration provides a convenien...
Definition: DisableIf.h:223
Header file for the And class template.
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:723
typename MultTrait< T1, T2 >::Type MultTrait_
Auxiliary alias declaration for the MultTrait class template.The MultTrait_ alias declaration provide...
Definition: MultTrait.h:245
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatMultExpr.h:300
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
Header file for the TSVecSMatMultExprTrait class template.
Header file for the IsUniLower type trait.
typename T::ResultType ResultType_
Alias declaration for nested ResultType type definitions.The ResultType_ alias declaration provides a...
Definition: Aliases.h:323
EnableIf_< IsDenseMatrix< MT1 > > 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
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT > >, ColumnExprTrait_< MT > > column(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific column of the given matrix.
Definition: Column.h:126
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:109
Header file for the SparseMatrix base class.
SMatTSMatMultExpr< MT1, MT2 > This
Type of this SMatTSMatMultExpr instance.
Definition: SMatTSMatMultExpr.h:151
const ElementType ReturnType
Return type for expression template evaluations.
Definition: SMatTSMatMultExpr.h:156
Constraint on the data type.
Expression object for sparse matrix-transpose sparse matrix multiplications.The SMatTSMatMultExpr cla...
Definition: Forward.h:107
Header file for the MultExprTrait class template.
typename T::CompositeType CompositeType_
Alias declaration for nested CompositeType type definitions.The CompositeType_ alias declaration prov...
Definition: Aliases.h:83
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
Header file for the If class template.
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:83
#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:61
EnableIf_< IsDenseMatrix< MT1 > > 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
Header file for the Or class template.
Header file for the TDVecTSMatMultExprTrait class template.
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.This macro encapsulates the default way of Bl...
Definition: Exception.h:331
Header file for the Columns type trait.
Header file for the TSMatDVecMultExprTrait class template.
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatMultExpr.h:266
Header file for the IsLower type trait.
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatMultExpr.h:288
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:330
Header file for the SMatSVecMultExprTrait class template.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatMultExpr.h:276
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 exception macros of the math module.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatMultExpr.h:234
Header file for the RowExprTrait class template.
Header file for all forward declarations for expression class templates.
SMatTSMatMultExpr(const MT1 &lhs, const MT2 &rhs) noexcept
Constructor for the SMatTSMatMultExpr class.
Definition: SMatTSMatMultExpr.h:177
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatMultExpr.h:208
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
#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:109
constexpr size_t nonZeros() const noexcept
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatMultExpr.h:244
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT > >, RowExprTrait_< MT > > row(Matrix< MT, SO > &matrix, size_t index)
Creating a view on a specific row of the given matrix.
Definition: Row.h:126
const ResultType CompositeType
Data type for composite expression templates.
Definition: SMatTSMatMultExpr.h:157
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:79
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: RowMajorMatrix.h:61
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:83
If_< IsExpression< MT1 >, const MT1, const MT1 & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:160
Utility type for generic codes.
typename If< T1, T2, T3 >::Type If_
Auxiliary alias declaration for the If class template.The If_ alias declaration provides a convenient...
Definition: If.h:160
Base class for matrices.The Matrix class is a base class for all dense and sparse matrix classes with...
Definition: Forward.h:89
Constraint on the data type.
CompositeType_< MT1 > CT1
Composite type of the left-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:128
Constraints on the storage order of matrix types.
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatMultExpr.h:192
IntegralConstant< bool, B > BoolConstant
Generic wrapper for a compile time constant boolean value.The BoolConstant class template represents ...
Definition: IntegralConstant.h:100
LeftOperand lhs_
Left-hand side sparse matrix of the multiplication expression.
Definition: SMatTSMatMultExpr.h:317
Header file for the RemoveReference type trait.
ResultType_< MT2 > RT2
Result type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:127
typename EnableIf< Condition, T >::Type EnableIf_
Auxiliary alias declaration for the EnableIf class template.The EnableIf_ alias declaration provides ...
Definition: EnableIf.h:223
typename T::OppositeType OppositeType_
Alias declaration for nested OppositeType type definitions.The OppositeType_ alias declaration provid...
Definition: Aliases.h:243
CompositeType_< MT2 > CT2
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:129
Header file for the IsDenseVector type trait.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatTSMatMultExpr.h:310
BLAZE_ALWAYS_INLINE size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:314
size_t nonZeros(size_t i) const noexcept
Returns the number of non-zero elements in the specified row.
Definition: SMatTSMatMultExpr.h:255
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:950
Header file for the IsComputation type trait class.
#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
Header file for the IntegralConstant class template.
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: SMatTSMatMultExpr.h:318
typename T::TransposeType TransposeType_
Alias declaration for nested TransposeType type definitions.The TransposeType_ alias declaration prov...
Definition: Aliases.h:403
Header file for the IsUpper type trait.
void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
If_< IsExpression< MT2 >, const MT2, const MT2 & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: SMatTSMatMultExpr.h:163
Header file for the IsColumnVector type trait.
Constraint on the data type.
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:61
Header file for the IsExpression type trait class.
Header file for the TSMatSVecMultExprTrait class template.
Header file for the FunctionTrace class.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatMultExpr.h:155