35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSVECTDMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSVECTDMATMULTEXPR_H_ 101 class TSVecTDMatMultExpr
102 :
public TVecMatMultExpr< DenseVector< TSVecTDMatMultExpr<VT,MT>, true > >
103 ,
private Computation
115 static constexpr
bool evaluateVector = ( IsComputation_v<VT> || RequiresEvaluation_v<VT> );
136 template<
typename VT2 >
138 static constexpr
bool UseAssign_v =
useAssign;
148 template<
typename T1 >
149 static constexpr
bool UseSMPAssign_v =
useAssign;
210 if( IsDiagonal_v<MT> )
212 return vec_[index] *
mat_(index,index);
214 else if( IsLower_v<MT> )
216 const size_t begin( IsStrictlyLower_v<MT> ? index+1UL : index );
221 else if( IsUpper_v<MT> )
223 const size_t n( IsStrictlyUpper_v<MT> ? index : index+1UL );
242 if( index >=
mat_.columns() ) {
245 return (*
this)[index];
254 inline size_t size() const noexcept {
255 return mat_.columns();
285 template<
typename T >
286 inline bool canAlias(
const T* alias )
const noexcept {
287 return vec_.isAliased( alias ) ||
mat_.isAliased( alias );
297 template<
typename T >
298 inline bool isAliased(
const T* alias )
const noexcept {
299 return vec_.isAliased( alias ) ||
mat_.isAliased( alias );
309 return mat_.isAligned();
319 return (
size() > SMP_TSVECTDMATMULT_THRESHOLD );
345 template<
typename VT2 >
355 if( x.nonZeros() == 0UL ) {
370 assign( ~lhs, x * A );
391 template<
typename VT2 >
424 template<
typename VT2 >
434 if( x.nonZeros() == 0UL )
return;
469 template<
typename VT2 >
479 if( x.nonZeros() == 0UL )
return;
514 template<
typename VT2 >
550 template<
typename VT2 >
586 template<
typename VT2 >
596 if( x.nonZeros() == 0UL ) {
631 template<
typename VT2 >
633 -> EnableIf_t< UseSMPAssign_v<VT2> >
663 template<
typename VT2 >
673 if( x.nonZeros() == 0UL )
return;
707 template<
typename VT2 >
717 if( x.nonZeros() == 0UL )
return;
752 template<
typename VT2 >
787 template<
typename VT2 >
844 template<
typename VT
846 , DisableIf_t< IsSymmetric_v<MT> || IsZero_v<VT> >* =
nullptr >
847 inline const TSVecTDMatMultExpr<VT,MT>
848 tsvectdmatmult(
const SparseVector<VT,true>& vec,
const DenseMatrix<MT,true>& mat )
854 return TSVecTDMatMultExpr<VT,MT>( ~vec, ~mat );
874 template<
typename VT
876 , EnableIf_t< IsSymmetric_v<MT> && !IsZero_v<VT> >* =
nullptr >
877 inline decltype(
auto)
878 tsvectdmatmult( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
884 return (~vec) *
trans( ~mat );
903 template<
typename VT
905 , EnableIf_t< IsZero_v<VT> >* =
nullptr >
906 inline decltype(
auto)
907 tsvectdmatmult( const SparseVector<VT,true>& vec, const DenseMatrix<MT,true>& mat )
915 using ReturnType =
const MultTrait_t< ResultType_t<VT>, ResultType_t<MT> >;
920 return ReturnType( (~mat).
columns() );
957 template<
typename VT
959 inline decltype(
auto)
966 if( (~vec).
size() != (~mat).
rows() ) {
970 return tsvectdmatmult( ~vec, ~mat );
985 template<
typename VT,
typename MT >
986 struct IsAligned< TSVecTDMatMultExpr<VT,MT> >
987 :
public IsAligned<MT>
LeftOperand vec_
Left-hand side sparse vector of the multiplication expression.
Definition: TSVecTDMatMultExpr.h:325
#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.
decltype(auto) column(Matrix< MT, SO > &matrix, RCAs... args)
Creating a view on a specific column of the given matrix.
Definition: Column.h:133
Header file for the blaze::checked and blaze::unchecked instances.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TSVecTDMatMultExpr.h:308
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
CompositeType_t< VT > VCT
Composite type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:109
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSVecTDMatMultExpr.h:159
typename T::ResultType ResultType_t
Alias declaration for nested ResultType type definitions.The ResultType_t alias declaration provides ...
Definition: Aliases.h:390
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
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSVecTDMatMultExpr.h:160
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
friend auto smpDivAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP division assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense...
Definition: TSVecTDMatMultExpr.h:788
Constraint on the data type.
Header file for the DenseVector base class.
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.
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSVecTDMatMultExpr.h:254
Header file for the Computation base class.
Header file for the reset shim.
Header file for the RequiresEvaluation type trait.
If_t< evaluateVector, const VRT, VCT > LT
Type for the assignment of the left-hand side sparse vector operand.
Definition: TSVecTDMatMultExpr.h:172
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
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: TSVecTDMatMultExpr.h:264
TSVecTDMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TSVecTDMatMultExpr class.
Definition: TSVecTDMatMultExpr.h:193
If_t< IsExpression_v< MT >, const MT, const MT & > RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecTDMatMultExpr.h:169
MultTrait_t< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TSVecTDMatMultExpr.h:157
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
CompositeType_t< MT > MCT
Composite type of the right-hand side dense matrix expression.
Definition: TSVecTDMatMultExpr.h:110
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSVecTDMatMultExpr.h:318
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:58
friend auto smpSubAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP subtraction assignment of a transpose sparse vector-transpose dense matrix multiplication to a de...
Definition: TSVecTDMatMultExpr.h:708
Header file for the If class template.
ResultType_t< MT > MRT
Result type of the right-hand side dense matrix expression.
Definition: TSVecTDMatMultExpr.h:108
#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
#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
friend auto smpAddAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP addition assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense...
Definition: TSVecTDMatMultExpr.h:664
#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
If_t< IsExpression_v< VT >, const VT, const VT & > LeftOperand
Composite type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:166
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSVecTDMatMultExpr.h:286
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
Header file for the IsAligned type trait.
#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
static constexpr bool evaluateVector
Compilation switch for the composite type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:115
static constexpr bool useAssign
Compilation switch for the evaluation strategy of the multiplication expression.
Definition: TSVecTDMatMultExpr.h:131
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: TSVecTDMatMultExpr.h:180
Constraint on the data type.
Header file for the exception macros of the math module.
Constraint on the data type.
RightOperand rightOperand() const noexcept
Returns the right-hand side transpose dense matrix operand.
Definition: TSVecTDMatMultExpr.h:274
Constraint on the data type.
friend auto multAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseAssign_v< VT2 > >
Multiplication assignment of a transpose sparse vector-transpose dense matrix multiplication to a den...
Definition: TSVecTDMatMultExpr.h:515
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
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
ResultType_t< VT > VRT
Result type of the left-hand side sparse vector expression.
Definition: TSVecTDMatMultExpr.h:107
#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
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.
typename T::CompositeType CompositeType_t
Alias declaration for nested CompositeType type definitions.The CompositeType_t alias declaration pro...
Definition: Aliases.h:90
friend auto smpMultAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseSMPAssign_v< VT2 > >
SMP multiplication assignment of a transpose sparse vector-transpose dense matrix multiplication to a...
Definition: TSVecTDMatMultExpr.h:753
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the right-hand side dense matrix expression.
Definition: TSVecTDMatMultExpr.h:120
Header file for the IsZero type trait.
Constraint on the data type.
#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.
If_t< useAssign, const ResultType, const TSVecTDMatMultExpr & > CompositeType
Data type for composite expression templates.
Definition: TSVecTDMatMultExpr.h:163
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
Header file for the TVecMatMultExpr base class.
Constraint on the data type.
Constraints on the storage order of matrix types.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:808
RightOperand mat_
Right-hand side dense matrix of the multiplication expression.
Definition: TSVecTDMatMultExpr.h:326
#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
friend auto addAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseAssign_v< VT2 > >
Addition assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense vec...
Definition: TSVecTDMatMultExpr.h:425
Expression object for transpose sparse vector-transpose dense matrix multiplications....
Definition: Forward.h:196
friend auto divAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseAssign_v< VT2 > >
Division assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense vec...
Definition: TSVecTDMatMultExpr.h:551
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSVecTDMatMultExpr.h:158
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSVecTDMatMultExpr.h:183
#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
#define BLAZE_CONSTRAINT_MUST_FORM_VALID_TVECMATMULTEXPR(T1, T2)
Constraint on the data type.In case the given data types T1 and T2 do not form a valid vector/matrix ...
Definition: TVecMatMultExpr.h:104
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
Header file for the IsComputation type trait class.
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:146
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSVecTDMatMultExpr.h:298
#define BLAZE_CONSTRAINT_MUST_BE_ROW_VECTOR_TYPE(T)
Constraint on the data type.In case the given data type T is not a row dense or sparse vector type (i...
Definition: RowVector.h:61
Header file for the IsUpper type trait.
Constraint on the data type.
If_t< evaluateMatrix, const MRT, MCT > RT
Type for the assignment of the left-hand side dense matrix operand.
Definition: TSVecTDMatMultExpr.h:175
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSVecTDMatMultExpr.h:241
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSVecTDMatMultExpr.h:207
#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.
#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
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.
friend auto subAssign(DenseVector< VT2, true > &lhs, const TSVecTDMatMultExpr &rhs) -> EnableIf_t< UseAssign_v< VT2 > >
Subtraction assignment of a transpose sparse vector-transpose dense matrix multiplication to a dense ...
Definition: TSVecTDMatMultExpr.h:470