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 >
407 assign( ~lhs, tmp * rhs.rhs_ );
427 template<
typename MT >
438 assign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
456 template<
typename MT >
468 addAssign( ~lhs, rhs.lhs_ * tmp );
488 template<
typename MT >
497 addAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
515 template<
typename MT >
529 addAssign( ~lhs, tmp * rhs.rhs_ );
549 template<
typename MT >
560 addAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
582 template<
typename MT >
594 subAssign( ~lhs, rhs.lhs_ * tmp );
614 template<
typename MT >
623 subAssign( ~lhs, rhs.lhs_ *
trans( rhs.rhs_ ) );
641 template<
typename MT >
655 subAssign( ~lhs, tmp * rhs.rhs_ );
675 template<
typename MT >
686 subAssign( ~lhs,
trans( rhs.lhs_ ) * rhs.rhs_ );
718 template<
typename MT >
750 template<
typename MT >
779 template<
typename MT >
813 template<
typename MT >
844 template<
typename MT >
876 template<
typename MT >
910 template<
typename MT >
939 template<
typename MT >
974 template<
typename MT >
1006 template<
typename MT >
1040 template<
typename MT >
1069 template<
typename MT >
1148 template<
typename T1
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 >
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 >
1301 :
public BoolConstant< Or< And< IsStrictlyUpper<MT1>, IsUpper<MT2> >
1302 , And< IsStrictlyUpper<MT2>, IsUpper<MT1> > >::value >
1318 template<
typename MT1,
typename MT2,
typename VT >
1336 template<
typename MT1,
typename MT2,
typename VT >
1354 template<
typename VT,
typename MT1,
typename MT2 >
1372 template<
typename VT,
typename MT1,
typename MT2 >
1390 template<
typename MT1,
typename MT2,
bool AF >
1405 template<
typename MT1,
typename MT2 >
1419 template<
typename MT1,
typename MT2 >
typename SubmatrixExprTrait< MT, AF >::Type SubmatrixExprTrait_
Auxiliary alias declaration for the SubmatrixExprTrait type trait.The SubmatrixExprTrait_ alias decla...
Definition: SubmatrixExprTrait.h:134
#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
Compile time check for row vector types.This type trait tests whether or not the given template argum...
Definition: IsRowVector.h:80
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.
Header file for the Rows type trait.
Header file for the UNUSED_PARAMETER function template.
Header file for the IsUniUpper type trait.
Header file for basic type definitions.
size_t columns() const noexcept
Returns the current number of columns of the matrix.
Definition: SMatTSMatMultExpr.h:234
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.
Generic wrapper for a compile time constant integral value.The IntegralConstant class template repres...
Definition: IntegralConstant.h:71
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.
Compile time check for lower triangular matrices.This type trait tests whether or not the given templ...
Definition: IsLower.h:88
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:721
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.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose sparse matrix operand.
Definition: SMatTSMatMultExpr.h:276
Compile time check for upper triangular matrices.This type trait tests whether or not the given templ...
Definition: IsUpper.h:88
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
Evaluation of the expression type of a sparse matrix/dense vector multiplication.Via this type trait ...
Definition: SMatDVecMultExprTrait.h:78
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
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:71
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:119
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:117
typename MultExprTrait< T1, T2 >::Type MultExprTrait_
Auxiliary alias declaration for the MultExprTrait class template.The MultExprTrait_ alias declaration...
Definition: MultExprTrait.h:344
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
ReturnType operator()(size_t i, size_t j) const
2D-access to the matrix elements.
Definition: SMatTSMatMultExpr.h:192
Compile time check for upper unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniUpper.h:86
Header file for the DisableIf class template.
Compile time check for dense vector types.This type trait tests whether or not the given template par...
Definition: IsDenseVector.h:78
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse matrix operand.
Definition: SMatTSMatMultExpr.h:266
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
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: SMatTSMatMultExpr.h:300
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.
typename SMatSVecMultExprTrait< MT, VT >::Type SMatSVecMultExprTrait_
Auxiliary alias declaration for the SMatSVecMultExprTrait class template.The SMatSVecMultExprTrait_ a...
Definition: SMatSVecMultExprTrait.h:123
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.
constexpr size_t nonZeros() const noexcept
Returns the number of non-zero elements in the sparse matrix.
Definition: SMatTSMatMultExpr.h:244
typename T::ElementType ElementType_
Alias declaration for nested ElementType type definitions.The ElementType_ alias declaration provides...
Definition: Aliases.h:163
Compile time check for sparse vector types.This type trait tests whether or not the given template pa...
Definition: IsSparseVector.h:78
Evaluation of the expression type type of a submatrix operation.Via this type trait it is possible to...
Definition: SubmatrixExprTrait.h:80
Header file for the IsLower type trait.
Evaluation of the expression type of a sparse matrix/sparse vector multiplication.Via this type trait it is possible to evaluate the resulting expression type of a sparse matrix/sparse vector multiplication. Given the row-major sparse matrix type MT and the non-transpose sparse vector type VT, the nested type Type corresponds to the resulting expression type. In case either MT is not a row-major sparse matrix type or VT is not a non-transpose sparse vector type, the resulting data type Type is set to INVALID_TYPE.
Definition: SMatSVecMultExprTrait.h:80
Evaluation of the expression type of a dense vector/sparse matrix multiplication.Via this type trait ...
Definition: TDVecSMatMultExprTrait.h:80
Header file for the SMatSVecMultExprTrait class template.
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT >, IsDeclExpr< 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:128
Evaluation of the expression type of a sparse vector/sparse matrix multiplication.Via this type trait it is possible to evaluate the resulting expression type of a sparse vector/sparse matrix multiplication. Given the transpose sparse vector type VT and the row-major sparse matrix type MT, the nested type Type corresponds to the resulting expression type. In case either VT is not a transpose sparse vector type or MT is not a row-major sparse matrix type, the resulting data type Type is set to INVALID_TYPE.
Definition: TSVecSMatMultExprTrait.h:78
Compile time check for column vector types.This type trait tests whether or not the given template ar...
Definition: IsColumnVector.h:80
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.
Compile time check for strictly upper triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyUpper.h:86
Evaluation of the expression type type of a row operation.Via this type trait it is possible to evalu...
Definition: RowExprTrait.h:79
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
DisableIf_< Or< IsComputation< MT >, IsTransExpr< MT >, IsDeclExpr< 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:128
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
size_t rows() const noexcept
Returns the current number of rows of the matrix.
Definition: SMatTSMatMultExpr.h:224
#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
Compile time check for lower unitriangular matrices.This type trait tests whether or not the given te...
Definition: IsUniLower.h:86
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: SMatTSMatMultExpr.h:288
ReturnType at(size_t i, size_t j) const
Checked access to the matrix elements.
Definition: SMatTSMatMultExpr.h:208
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:93
Base class for matrices.The Matrix class is a base class for all dense and sparse matrix classes with...
Definition: Forward.h:94
typename TDVecTSMatMultExprTrait< VT, MT >::Type TDVecTSMatMultExprTrait_
Auxiliary alias declaration for the TDVecTSMatMultExprTrait class template.The TDVecTSMatMultExprTrai...
Definition: TDVecTSMatMultExprTrait.h:120
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.
typename SMatDVecMultExprTrait< MT, VT >::Type SMatDVecMultExprTrait_
Auxiliary alias declaration for the SMatDVecMultExprTrait class template.The SMatDVecMultExprTrait_ a...
Definition: SMatDVecMultExprTrait.h:119
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.
Compile time check for strictly lower triangular matrices.This type trait tests whether or not the gi...
Definition: IsStrictlyLower.h:86
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:733
Header file for the IsComputation type trait class.
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 IntegralConstant class template.
Compile time evaluation of the number of columns of a matrix.The Columns type trait evaluates the num...
Definition: Columns.h:76
Compile time evaluation of the number of rows of a matrix.The Rows type trait evaluates the number of...
Definition: Rows.h:76
Compile time check for sparse matrix types.This type trait tests whether or not the given template pa...
Definition: IsSparseMatrix.h:78
RightOperand rhs_
Right-hand side sparse matrix of the multiplication expression.
Definition: SMatTSMatMultExpr.h:318
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: SMatTSMatMultExpr.h:310
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.
const DMatDMatMultExpr< T1, T2, false, false, false, false > 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:7505
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
Evaluation of the expression type type of a column operation.Via this type trait it is possible to ev...
Definition: ColumnExprTrait.h:78
#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 function trace functionality.
ElementType_< ResultType > ElementType
Resulting element type.
Definition: SMatTSMatMultExpr.h:155