35 #ifndef _BLAZE_MATH_EXPRESSIONS_DMATSVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_DMATSVECMULTEXPR_H_ 101 template<
typename MT
104 :
public MatVecMultExpr< DenseVector< DMatSVecMultExpr<MT,VT>, false > >
122 static constexpr
bool evaluateVector = ( IsComputation_v<VT> || RequiresEvaluation_v<VT> );
138 template<
typename VT2 >
140 static constexpr
bool UseAssign_v =
useAssign;
150 template<
typename T1 >
151 static constexpr
bool UseSMPAssign_v =
useAssign;
212 if( IsDiagonal_v<MT> )
214 return mat_(index,index) *
vec_[index];
216 else if( IsLower_v<MT> )
218 const size_t n( IsStrictlyLower_v<MT> ? index : index+1UL );
222 else if( IsUpper_v<MT> )
224 const size_t begin( IsStrictlyUpper_v<MT> ? index+1UL : index );
225 const size_t n (
mat_.columns() -
begin );
244 if( index >=
mat_.rows() ) {
247 return (*
this)[index];
256 inline size_t size() const noexcept {
287 template<
typename T >
288 inline bool canAlias(
const T* alias )
const noexcept {
289 return mat_.isAliased( alias ) ||
vec_.isAliased( alias );
299 template<
typename T >
300 inline bool isAliased(
const T* alias )
const noexcept {
301 return mat_.isAliased( alias ) ||
vec_.isAliased( alias );
311 return mat_.isAligned();
321 return (
size() > SMP_DMATSVECMULT_THRESHOLD );
347 template<
typename VT1 >
357 if( x.nonZeros() == 0UL ) {
372 assign( ~lhs, A * x );
393 template<
typename VT1 >
427 template<
typename VT1 >
428 friend inline auto addAssign( DenseVector<VT1,false>& lhs,
const DMatSVecMultExpr& rhs )
429 -> EnableIf_t< UseAssign_v<VT1> >
437 if( x.nonZeros() == 0UL )
return;
449 addAssign( ~lhs, A * x );
474 template<
typename VT1 >
475 friend inline auto subAssign( DenseVector<VT1,false>& lhs,
const DMatSVecMultExpr& rhs )
476 -> EnableIf_t< UseAssign_v<VT1> >
484 if( x.nonZeros() == 0UL )
return;
496 subAssign( ~lhs, A * x );
521 template<
typename VT1 >
522 friend inline auto multAssign( DenseVector<VT1,false>& lhs,
const DMatSVecMultExpr& rhs )
523 -> EnableIf_t< UseAssign_v<VT1> >
534 multAssign( ~lhs, tmp );
559 template<
typename VT1 >
560 friend inline auto divAssign( DenseVector<VT1,false>& lhs,
const DMatSVecMultExpr& rhs )
561 -> EnableIf_t< UseAssign_v<VT1> >
572 divAssign( ~lhs, tmp );
596 template<
typename VT1 >
598 -> EnableIf_t< UseSMPAssign_v<VT1> >
606 if( x.nonZeros() == 0UL ) {
641 template<
typename VT1 >
643 -> EnableIf_t< UseSMPAssign_v<VT1> >
674 template<
typename VT1 >
676 -> EnableIf_t< UseSMPAssign_v<VT1> >
684 if( x.nonZeros() == 0UL )
return;
720 template<
typename VT1 >
722 -> EnableIf_t< UseSMPAssign_v<VT1> >
730 if( x.nonZeros() == 0UL )
return;
766 template<
typename VT1 >
768 -> EnableIf_t< UseSMPAssign_v<VT1> >
803 template<
typename VT1 >
805 -> EnableIf_t< UseSMPAssign_v<VT1> >
861 template<
typename MT
863 , DisableIf_t< IsSymmetric_v<MT> || IsZero_v<VT> >* =
nullptr >
864 inline const DMatSVecMultExpr<MT,VT>
865 dmatsvecmult(
const DenseMatrix<MT,false>& mat,
const SparseVector<VT,false>& vec )
871 return DMatSVecMultExpr<MT,VT>( ~mat, ~vec );
891 template<
typename MT
893 , EnableIf_t< IsSymmetric_v<MT> && !IsZero_v<VT> >* =
nullptr >
894 inline decltype(
auto)
895 dmatsvecmult( const DenseMatrix<MT,false>& mat, const SparseVector<VT,false>& vec )
901 return trans( ~mat ) * (~vec);
920 template<
typename MT
922 , EnableIf_t< IsZero_v<VT> >* =
nullptr >
923 inline decltype(
auto)
924 dmatsvecmult( const DenseMatrix<MT,false>& mat, const SparseVector<VT,false>& vec )
932 using ReturnType =
const MultTrait_t< ResultType_t<MT>, ResultType_t<VT> >;
937 return ReturnType( (~mat).
rows() );
975 template<
typename MT
977 inline decltype(
auto)
988 return dmatsvecmult( ~mat, ~vec );
1015 template<
typename MT
1017 inline decltype(
auto)
1018 operator*( const MatMatMultExpr<MT>& mat, const SparseVector<VT,false>& vec )
1022 return (~mat).leftOperand() * ( (~mat).rightOperand() * vec );
1038 template<
typename MT,
typename VT >
1039 struct IsAligned< DMatSVecMultExpr<MT,VT> >
1040 :
public IsAligned<MT>
#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
Header file for auxiliary alias declarations.
Header file for the blaze::checked and blaze::unchecked instances.
Header file for basic type definitions.
typename If< Condition, T1, T2 >::Type If_t
Auxiliary alias template for the If class template.The If_t alias template provides a convenient shor...
Definition: If.h:109
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: DMatSVecMultExpr.h:243
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a column dense or sparse vector type...
Definition: ColumnVector.h:61
Header file for the serial shim.
Header file for the IsDiagonal type trait.
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type,...
Definition: DenseMatrix.h:61
MT::Iterator begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:372
static constexpr bool evaluateVector
Compilation switch for the composite type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:122
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:595
constexpr Unchecked unchecked
Global Unchecked instance.The blaze::unchecked instance is an optional token for the creation of view...
Definition: Check.h:138
Constraint on the data type.
Header file for the DenseVector base class.
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: DMatSVecMultExpr.h:209
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:154
Header file for the MAYBE_UNUSED function template.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: DMatSVecMultExpr.h:310
Header file for the Computation base class.
Header file for the MatMatMultExpr base class.
Header file for the reset shim.
Constraints on the storage order of matrix types.
Header file for the RequiresEvaluation type trait.
LeftOperand mat_
Left-hand side dense matrix of the multiplication expression.
Definition: DMatSVecMultExpr.h:327
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes....
Definition: DenseMatrix.h:81
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
auto smpDivAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP division assignment of a vector to a dense vector.
Definition: DenseVector.h:220
Constraint on the transpose flag of vector types.
MultTrait_t< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: DMatSVecMultExpr.h:159
Constraint on the data type.
typename EnableIf< Condition, T >::Type EnableIf_t
Auxiliary type for the EnableIf class template.The EnableIf_t alias declaration provides a convenient...
Definition: EnableIf.h:138
If_t< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:177
If_t< useAssign, const ResultType, const DMatSVecMultExpr & > CompositeType
Data type for composite expression templates.
Definition: DMatSVecMultExpr.h:165
Expression object for dense matrix-sparse vector multiplications.The DMatSVecMultExpr class represent...
Definition: DMatSVecMultExpr.h:103
Header file for the DisableIf class template.
CompositeType_t< MT > MCT
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:111
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:58
Header file for the If class template.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: DMatSVecMultExpr.h:185
#define BLAZE_CONSTRAINT_MUST_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is not a zero vector or matrix type,...
Definition: Zero.h:61
#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
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: DMatSVecMultExpr.h:328
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
Header file for the IsLower type trait.
constexpr void MAYBE_UNUSED(const Args &...)
Suppression of unused parameter warnings.
Definition: MaybeUnused.h:81
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional vector type,...
Definition: SparseVector.h:61
ResultType_t< MT > MRT
Result type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:109
Header file for the IsAligned type trait.
ResultType_t< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:110
Base class for all matrix/vector multiplication expression templates.The MatVecMultExpr class serves ...
Definition: MatVecMultExpr.h:67
#define BLAZE_CONSTRAINT_MUST_NOT_BE_MATMATMULTEXPR_TYPE(T)
Constraint on the data type.In case the given data type T is a matrix/matrix multiplication expressio...
Definition: MatMatMultExpr.h:83
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_MATVECMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid matrix/vector ...
Definition: MatVecMultExpr.h:104
CompositeType_t< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: DMatSVecMultExpr.h:112
Constraint on the data type.
Header file for the exception macros of the math module.
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: DMatSVecMultExpr.h:276
Constraint on the data type.
Constraint on the data type.
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: DMatSVecMultExpr.h:256
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
If_t< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:174
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: DMatSVecMultExpr.h:161
typename MultTrait< T1, T2 >::Type MultTrait_t
Auxiliary alias declaration for the MultTrait class template.The MultTrait_t alias declaration provid...
Definition: MultTrait.h:240
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: DMatSVecMultExpr.h:160
#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,...
Definition: Symmetric.h:79
#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
typename T::TransposeType TransposeType_t
Alias declaration for nested TransposeType type definitions.The TransposeType_t alias declaration pro...
Definition: Aliases.h:470
Header file for run time assertion macros.
LeftOperand leftOperand() const noexcept
Returns the left-hand side dense matrix operand.
Definition: DMatSVecMultExpr.h:266
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: DMatSVecMultExpr.h:288
auto smpAddAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP addition assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:131
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:133
Header file for the IsZero type trait.
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
Header file for all forward declarations for expression class templates.
constexpr size_t size(const Matrix< MT, SO > &matrix) noexcept
Returns the total number of elements of the matrix.
Definition: Matrix.h:530
auto smpAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP assignment of a matrix to a dense matrix.
Definition: DenseMatrix.h:100
Constraint on the data type.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
#define BLAZE_CONSTRAINT_MUST_NOT_REQUIRE_EVALUATION(T)
Constraint on the data type.In case the given data type T requires an intermediate evaluation within ...
Definition: RequiresEvaluation.h:81
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional vector type,...
Definition: DenseVector.h:61
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: DMatSVecMultExpr.h:182
If_t< IsExpression_v< VT >, const VT, const VT & > RightOperand
Composite type of the right-hand side dense vector expression.
Definition: DMatSVecMultExpr.h:171
Header file for the IsComputation type trait class.
auto smpSubAssign(Matrix< MT1, SO1 > &lhs, const Matrix< MT2, SO2 > &rhs) -> EnableIf_t< IsDenseMatrix_v< MT1 > >
Default implementation of the SMP subtraction assignment of a matrix to dense matrix.
Definition: DenseMatrix.h:162
Base class for all compute expression templates.The Computation class serves as a tag for all computa...
Definition: Computation.h:66
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:146
If_t< IsExpression_v< MT >, const MT, const MT & > LeftOperand
Composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:168
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the left-hand side dense matrix expression.
Definition: DMatSVecMultExpr.h:117
Constraint on the data type.
Constraint on the data type.
Header file for the IsUpper type trait.
Header file for the MatVecMultExpr base class.
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ZERO_TYPE(T)
Constraint on the data type.In case the given data type T is a zero vector or matrix type,...
Definition: Zero.h:81
Header file for the thresholds for matrix/vector and matrix/matrix multiplications.
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: DMatSVecMultExpr.h:320
static constexpr bool useAssign
Compilation switch for the evaluation strategy of the multiplication expression.
Definition: DMatSVecMultExpr.h:133
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression,...
Definition: Assert.h:101
auto smpMultAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP multiplication assignment of a vector to a dense vector.
Definition: DenseVector.h:191
const ElementType ReturnType
Return type for expression template evaluations.
Definition: DMatSVecMultExpr.h:162
DMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the DMatSVecMultExpr class.
Definition: DMatSVecMultExpr.h:195
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: DMatSVecMultExpr.h:300