35#ifndef _BLAZE_MATH_EXPRESSIONS_TDVECSMATMULTEXPR_H_
36#define _BLAZE_MATH_EXPRESSIONS_TDVECSMATMULTEXPR_H_
104 :
public TVecMatMultExpr< DenseVector< TDVecSMatMultExpr<VT,MT>, true > >
117 static constexpr bool evaluateVector = ( IsComputation_v<VT> || RequiresEvaluation_v<VT> );
131 template<
typename T1 >
192 if( IsDiagonal_v<MT> )
194 return vec_[index] *
mat_(index,index);
196 else if( IsLower_v<MT> )
198 const size_t begin( IsStrictlyLower_v<MT> ? index+1UL : index );
203 else if( IsUpper_v<MT> )
205 const size_t n( IsStrictlyUpper_v<MT> ? index : index+1UL );
224 if( index >=
mat_.columns() ) {
227 return (*
this)[index];
236 inline size_t size() const noexcept {
237 return mat_.columns();
267 template<
typename T >
268 inline bool canAlias(
const T* alias )
const noexcept {
269 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
279 template<
typename T >
280 inline bool isAliased(
const T* alias )
const noexcept {
281 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
291 return vec_.isAligned();
301 return (
size() > SMP_TDVECSMATMULT_THRESHOLD );
323 template<
typename VT2 >
332 if( rhs.
mat_.rows() == 0UL )
return;
342 TDVecSMatMultExpr::selectAssignKernel( *lhs, x, A );
360 template<
typename VT1
363 static inline void selectAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
365 for(
size_t i=0UL; i<x.size(); ++i )
367 const auto end( A.end(i) );
368 auto element( A.begin(i) );
370 for( ; element!=
end; ++element ) {
373 y[element->index()] = x[i] * element->value();
375 y[element->index()] += x[i] * element->value();
394 template<
typename VT2 >
422 template<
typename VT2 >
429 if( rhs.
mat_.rows() == 0UL ) {
441 TDVecSMatMultExpr::selectAddAssignKernel( *lhs, x, A );
459 template<
typename VT1
462 static inline void selectAddAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
464 for(
size_t i=0UL; i<x.size(); ++i )
466 const auto end( A.end(i) );
467 auto element( A.begin(i) );
469 for( ; element!=
end; ++element ) {
470 y[element->index()] += x[i] * element->value();
493 template<
typename VT2 >
500 if( rhs.
mat_.rows() == 0UL ) {
512 TDVecSMatMultExpr::selectSubAssignKernel( *lhs, x, A );
530 template<
typename VT1
533 static inline void selectSubAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
535 for(
size_t i=0UL; i<x.size(); ++i )
537 const auto end( A.end(i) );
538 auto element( A.begin(i) );
540 for( ; element!=
end; ++element ) {
541 y[element->index()] -= x[i] * element->value();
564 template<
typename VT2 >
596 template<
typename VT2 >
630 template<
typename VT2 >
640 if( rhs.mat_.rows() == 0UL )
return;
668 template<
typename VT2 >
699 template<
typename VT2 >
707 if( rhs.mat_.rows() == 0UL ) {
741 template<
typename VT2 >
749 if( rhs.mat_.rows() == 0UL ) {
783 template<
typename VT2 >
818 template<
typename VT2 >
877 , DisableIf_t< IsSymmetric_v<MT> ||
878 ( IsIdentity_v<MT> &&
879 IsSame_v< ElementType_t<VT>, ElementType_t<MT> > ) ||
880 IsZero_v<MT> >* =
nullptr >
881inline const TDVecSMatMultExpr<VT,MT>
882 tdvecsmatmult(
const DenseVector<VT,true>& vec,
const SparseMatrix<MT,false>& mat )
888 return TDVecSMatMultExpr<VT,MT>( *vec, *mat );
910 , EnableIf_t< IsSymmetric_v<MT> &&
911 !( IsIdentity_v<MT> &&
912 IsSame_v< ElementType_t<VT>, ElementType_t<MT> > ) &&
913 !IsZero_v<MT> >* =
nullptr >
915 tdvecsmatmult(
const DenseVector<VT,true>& vec,
const SparseMatrix<MT,false>& mat )
921 return (*vec) *
trans( *mat );
943 , EnableIf_t< IsIdentity_v<MT> &&
944 IsSame_v< ElementType_t<VT>, ElementType_t<MT> > >* =
nullptr >
946 tdvecsmatmult(
const DenseVector<VT,true>& vec,
const SparseMatrix<MT,false>& mat )
975 , EnableIf_t< IsZero_v<MT> >* =
nullptr >
977 tdvecsmatmult(
const DenseVector<VT,true>& vec,
const SparseMatrix<MT,false>& mat )
985 using ReturnType =
const MultTrait_t< ResultType_t<VT>, ResultType_t<MT> >;
990 return ReturnType( (*mat).columns() );
1027template<
typename VT
1029inline decltype(
auto)
1036 if( (*vec).size() != (*mat).rows() ) {
1040 return tdvecsmatmult( *vec, *mat );
1055template<
typename VT,
typename MT >
1056struct IsAligned< TDVecSMatMultExpr<VT,MT> >
1057 :
public IsAligned<VT>
Header file for auxiliary alias declarations.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.
Definition: Aliases.h:110
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.
Definition: Aliases.h:450
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.
Definition: Aliases.h:190
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.
Definition: Aliases.h:550
Header file for run time assertion macros.
Header file for the blaze::checked and blaze::unchecked instances.
Header file for the EnableIf class template.
Header file for the function trace functionality.
Header file for the If class template.
Header file for the IsAligned type trait.
Header file for the IsComputation type trait class.
Header file for the isDefault shim.
Header file for the IsDiagonal type trait.
Header file for the IsExpression type trait class.
Header file for the IsIdentity type trait.
Header file for the IsLower type trait.
Header file for the IsResizable type trait.
Header file for the IsStrictlyLower type trait.
Header file for the IsStrictlyUpper type trait.
Header file for the IsSymmetric type trait.
Header file for the IsUpper type trait.
Deactivation of problematic macros.
Header file for the MAYBE_UNUSED function template.
Header file for the multiplication trait.
Constraints on the storage order of matrix types.
Constraint on the transpose flag of vector types.
Constraint on the data type.
Constraint on the data type.
Base class for N-dimensional dense vectors.
Definition: DenseVector.h:77
Base class for sparse matrices.
Definition: SparseMatrix.h:77
Base class for sparse vectors.
Definition: SparseVector.h:72
Expression object for transpose dense vector-sparse matrix multiplications.
Definition: TDVecSMatMultExpr.h:106
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TDVecSMatMultExpr.h:168
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TDVecSMatMultExpr.h:236
const ResultType CompositeType
Data type for composite expression templates.
Definition: TDVecSMatMultExpr.h:148
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:145
If_t< evaluateMatrix, const MRT, MCT > RT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:160
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense vector operand.
Definition: TDVecSMatMultExpr.h:246
ResultType_t< VT > VRT
Result type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:109
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:122
If_t< IsExpression_v< MT >, const MT, const MT & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:154
RightOperand mat_
Right-hand side sparse matrix of the multiplication expression.
Definition: TDVecSMatMultExpr.h:308
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TDVecSMatMultExpr.h:146
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: TDVecSMatMultExpr.h:165
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TDVecSMatMultExpr.h:290
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TDVecSMatMultExpr.h:256
CompositeType_t< MT > MCT
Composite type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:112
static constexpr bool evaluateVector
Compilation switch for the composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:117
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TDVecSMatMultExpr.h:189
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:147
TDVecSMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TDVecSMatMultExpr class.
Definition: TDVecSMatMultExpr.h:175
If_t< IsExpression_v< VT >, const VT, const VT & > LeftOperand
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:151
ResultType_t< MT > MRT
Result type of the right-hand side sparse matrix expression.
Definition: TDVecSMatMultExpr.h:110
If_t< evaluateVector, const VRT, VCT > LT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:157
LeftOperand vec_
Left-hand side dense vector of the multiplication expression.
Definition: TDVecSMatMultExpr.h:307
MultTrait_t< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TDVecSMatMultExpr.h:144
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TDVecSMatMultExpr.h:223
CompositeType_t< VT > VCT
Composite type of the left-hand side dense vector expression.
Definition: TDVecSMatMultExpr.h:111
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TDVecSMatMultExpr.h:280
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TDVecSMatMultExpr.h:300
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TDVecSMatMultExpr.h:268
Constraint on the data type.
Constraint on the data type.
Constraint on the data type.
Constraint on the data type.
Constraint on the data type.
Header file for the Computation base class.
Header file for the DenseVector base class.
Header file for the TVecMatMultExpr base class.
decltype(auto) column(Matrix< MT, SO > &matrix, RCAs... args)
Creating a view on a specific column of the given matrix.
Definition: Column.h:137
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:766
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:812
friend auto smpAssign(SparseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP assignment of a transpose dense vector-sparse matrix multiplication to a sparse vector ( ).
Definition: TDVecSMatMultExpr.h:669
friend void multAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Multiplication assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ...
Definition: TDVecSMatMultExpr.h:565
friend auto smpSubAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP subtraction assignment of a transpose dense vector-sparse matrix multiplication to a dense vector...
Definition: TDVecSMatMultExpr.h:742
friend auto smpDivAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP division assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( ...
Definition: TDVecSMatMultExpr.h:819
friend auto smpMultAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP multiplication assignment of a transpose dense vector-sparse matrix multiplication to a dense vec...
Definition: TDVecSMatMultExpr.h:784
friend auto smpAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( ).
Definition: TDVecSMatMultExpr.h:631
friend auto smpAddAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
Addition assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( ).
Definition: TDVecSMatMultExpr.h:700
friend void subAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Subtraction assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( )...
Definition: TDVecSMatMultExpr.h:494
friend void addAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Addition assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( ).
Definition: TDVecSMatMultExpr.h:423
friend void assign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( ).
Definition: TDVecSMatMultExpr.h:324
friend void divAssign(DenseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Division assignment of a transpose dense vector-sparse matrix multiplication to a dense vector ( ).
Definition: TDVecSMatMultExpr.h:597
friend void assign(SparseVector< VT2, true > &lhs, const TDVecSMatMultExpr &rhs)
Assignment of a transpose dense vector-sparse matrix multiplication to a sparse vector ( ).
Definition: TDVecSMatMultExpr.h:395
bool isDefault(const DiagonalMatrix< MT, SO, DF > &m)
Returns whether the given diagonal matrix is in default state.
Definition: DiagonalMatrix.h:169
#define BLAZE_CONSTRAINT_MUST_NOT_BE_SYMMETRIC_MATRIX_TYPE(T)
Constraint on the data type.
Definition: Symmetric.h:79
#define BLAZE_CONSTRAINT_MUST_BE_ROW_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.
Definition: RowMajorMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.
Definition: RequiresEvaluation.h:81
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_TVECMATMULTEXPR(T1, T2)
Constraint on the data type.
Definition: TVecMatMultExpr.h:104
#define BLAZE_CONSTRAINT_MUST_NOT_BE_MATMATMULTEXPR_TYPE(T)
Constraint on the data type.
Definition: MatMatMultExpr.h:83
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.
Definition: Zero.h:81
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.
Definition: SparseMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_VECTOR_TYPE(T)
Constraint on the data type.
Definition: DenseVector.h:61
#define BLAZE_CONSTRAINT_MUST_BE_ROW_VECTOR_TYPE(T)
Constraint on the data type.
Definition: RowVector.h:61
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.
Definition: Zero.h:61
typename MultTrait< T1, T2 >::Type MultTrait_t
Auxiliary alias declaration for the MultTrait class template.
Definition: MultTrait.h:165
constexpr bool IsResizable_v
Auxiliary variable template for the IsResizable type trait.
Definition: IsResizable.h:136
constexpr void reset(Matrix< MT, SO > &matrix)
Resetting the given matrix.
Definition: Matrix.h:806
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:584
MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:518
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.
Definition: Assert.h:101
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:158
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.
Definition: EnableIf.h:138
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
typename If< Condition >::template Type< T1, T2 > If_t
Auxiliary alias template for the If class template.
Definition: If.h:108
#define BLAZE_THROW_OUT_OF_RANGE(MESSAGE)
Macro for the emission of a std::out_of_range exception.
Definition: Exception.h:331
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.
Definition: Exception.h:235
#define BLAZE_FUNCTION_TRACE
Function trace macro.
Definition: FunctionTrace.h:94
constexpr Unchecked unchecked
Global Unchecked instance.
Definition: Check.h:146
Header file for the exception macros of the math module.
Header file for all forward declarations for expression class templates.
Header file for the reset shim.
Header file for the serial shim.
Base class for all compute expression templates.
Definition: Computation.h:68
Base class for all vector/matrix multiplication expression templates.
Definition: TVecMatMultExpr.h:69
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
Header file for the IsZero type trait.
Header file for the RequiresEvaluation type trait.
Header file for basic type definitions.