35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSVECMULTEXPR_H_ 101 class TSMatSVecMultExpr
102 :
public MatVecMultExpr< SparseVector< TSMatSVecMultExpr<MT,VT>, false > >
103 ,
private Computation
120 static constexpr
bool evaluateVector = ( RequiresEvaluation_v<VT> || IsComputation_v<VT> );
129 template<
typename T1 >
188 if( IsDiagonal_v<MT> )
190 return mat_(index,index) *
vec_[index];
192 else if( IsLower_v<MT> )
194 const size_t n( IsStrictlyLower_v<MT> ? index : index+1UL );
198 else if( IsUpper_v<MT> )
200 const size_t begin( IsStrictlyUpper_v<MT> ? index+1UL : index );
201 const size_t n (
mat_.columns() -
begin );
220 if( index >=
mat_.rows() ) {
223 return (*
this)[index];
232 inline size_t size() const noexcept {
273 template<
typename T >
274 inline bool canAlias(
const T* alias )
const noexcept {
275 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
285 template<
typename T >
286 inline bool isAliased(
const T* alias )
const noexcept {
287 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
297 return (
size() > SMP_SMATSVECMULT_THRESHOLD );
320 template<
typename VT1 >
332 if( x.nonZeros() == 0UL )
return;
344 TSMatSVecMultExpr::selectAssignKernel( ~lhs, A, x );
363 template<
typename VT1
366 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
368 const auto vend ( x.end() );
369 auto velem( x.begin() );
371 for( ; velem!=vend; ++velem )
373 const auto mend ( A.end ( velem->index() ) );
374 auto melem( A.begin( velem->index() ) );
376 for( ; melem!=mend; ++melem ) {
379 y[melem->index()] = melem->value() * velem->value();
381 y[melem->index()] += melem->value() * velem->value();
400 template<
typename VT1 >
401 friend inline void assign( SparseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
407 const DynamicVector<ElementType_t<VT1>,
false> tmp(
serial( rhs ) );
426 template<
typename VT1 >
427 friend inline void addAssign( DenseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
435 if( x.nonZeros() == 0UL )
return;
447 TSMatSVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
466 template<
typename VT1
469 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
471 const auto vend ( x.end() );
472 auto velem( x.begin() );
474 for( ; velem!=vend; ++velem )
476 const auto mend ( A.end ( velem->index() ) );
477 auto melem( A.begin( velem->index() ) );
479 for( ; melem!=mend; ++melem ) {
480 y[melem->index()] += melem->value() * velem->value();
504 template<
typename VT1 >
505 friend inline void subAssign( DenseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
513 if( x.nonZeros() == 0UL )
return;
525 TSMatSVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
544 template<
typename VT1
547 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
549 const auto vend ( x.end() );
550 auto velem( x.begin() );
552 for( ; velem!=vend; ++velem )
554 const auto mend ( A.end ( velem->index() ) );
555 auto melem( A.begin( velem->index() ) );
557 for( ; melem!=mend; ++melem ) {
558 y[melem->index()] -= melem->value() * velem->value();
582 template<
typename VT1 >
583 friend inline void multAssign( DenseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
594 multAssign( ~lhs, tmp );
618 template<
typename VT1 >
620 -> EnableIf_t< UseSMPAssign_v<VT1> >
631 if( x.nonZeros() == 0UL )
return;
667 template<
typename VT1 >
669 -> EnableIf_t< UseSMPAssign_v<VT1> >
677 if( x.nonZeros() == 0UL )
return;
713 template<
typename VT1 >
715 -> EnableIf_t< UseSMPAssign_v<VT1> >
723 if( x.nonZeros() == 0UL )
return;
759 template<
typename VT1 >
761 -> EnableIf_t< UseSMPAssign_v<VT1> >
817 template<
typename MT
820 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) ||
821 ( IsZero_v<MT> || IsZero_v<VT> ) >* =
nullptr >
822 inline const TSMatSVecMultExpr<MT,VT>
823 tsmatsvecmult(
const SparseMatrix<MT,true>& mat,
const SparseVector<VT,false>& vec )
829 return TSMatSVecMultExpr<MT,VT>( ~mat, ~vec );
849 template<
typename MT
852 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) &&
853 !IsZero_v<VT> >* =
nullptr >
855 tsmatsvecmult(
const SparseMatrix<MT,true>& mat,
const SparseVector<VT,false>& vec )
882 template<
typename MT
884 , EnableIf_t< IsZero_v<MT> || IsZero_v<VT> >* =
nullptr >
885 inline decltype(
auto)
886 tsmatsvecmult( const SparseMatrix<MT,true>& mat, const SparseVector<VT,false>& vec )
894 using ReturnType =
const MultTrait_t< ResultType_t<MT>, ResultType_t<VT> >;
899 return ReturnType( (~mat).
rows() );
936 template<
typename MT
938 inline decltype(
auto)
949 return tsmatsvecmult( ~mat, ~vec );
CompositeType_t< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:110
#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.
Header file for the SparseVector base class.
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
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSVecMultExpr.h:252
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
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: TSMatSVecMultExpr.h:242
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:595
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSMatSVecMultExpr.h:232
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.
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.
Header file for the IsIdentity type trait.
Header file for the Computation base class.
Header file for the reset shim.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatSVecMultExpr.h:161
Header file for the RequiresEvaluation type trait.
Header file for the implementation of an arbitrarily sized vector.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:141
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 sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes....
Definition: Forward.h:145
typename T::ElementType ElementType_t
Alias declaration for nested ElementType type definitions.The ElementType_t alias declaration provide...
Definition: Aliases.h:170
Constraint on the transpose flag of vector types.
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSMatSVecMultExpr.h:219
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
constexpr bool IsResizable_v
Auxiliary variable template for the IsResizable type trait.The IsResizable_v variable template provid...
Definition: IsResizable.h:133
Header file for the DisableIf class template.
Header file for the multiplication trait.
Header file for the IsStrictlyUpper type trait.
MultTrait_t< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:138
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Expression object for sparse matrix-sparse vector multiplications.The TSMatSVecMultExpr class represe...
Definition: Forward.h:187
Header file for the If class template.
#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
#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: TSMatSVecMultExpr.h:304
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatSVecMultExpr.h:296
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
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatSVecMultExpr.h:140
#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
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: TSMatSVecMultExpr.h:262
Header file for the exception macros of the math module.
Constraint on the data type.
Constraint on the data type.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSVecMultExpr.h:286
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSVecMultExpr.h:144
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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSVecMultExpr.h:274
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSMatSVecMultExpr.h:185
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:139
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatSVecMultExpr.h:303
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
If_t< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side sparse vector operand.
Definition: TSMatSVecMultExpr.h:156
TSMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the TSMatSVecMultExpr class.
Definition: TSMatSVecMultExpr.h:171
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
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:115
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
ResultType_t< MT > MRT
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:107
Header file for all forward declarations for expression class templates.
If_t< IsExpression_v< MT >, const MT, const MT & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:147
Header file for the isDefault shim.
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
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
If_t< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatSVecMultExpr.h:153
#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
static constexpr bool evaluateVector
Compilation switch for the composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:120
If_t< IsExpression_v< VT >, const VT, const VT & > RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:150
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 sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:146
Constraint on the data type.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:635
ResultType_t< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:108
Header file for the IsUpper type trait.
typename DisableIf< Condition, T >::Type DisableIf_t
Auxiliary type for the DisableIf class template.The DisableIf_t alias declaration provides a convenie...
Definition: DisableIf.h:138
Header file for the MatVecMultExpr base class.
Constraint on the data type.
CompositeType_t< MT > MCT
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:109
Header file for the IsResizable type trait.
#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
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
#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 function trace functionality.