35#ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSVECMULTEXPR_H_
36#define _BLAZE_MATH_EXPRESSIONS_TSMATSVECMULTEXPR_H_
102 :
public MatVecMultExpr< SparseVector< TSMatSVecMultExpr<MT,VT>, false > >
120 static constexpr bool evaluateVector = ( RequiresEvaluation_v<VT> || IsComputation_v<VT> );
129 template<
typename T1 >
192 if( IsDiagonal_v<MT> )
194 return mat_(index,index) *
vec_[index];
196 else if( IsLower_v<MT> )
198 const size_t n( IsStrictlyLower_v<MT> ? index : index+1UL );
202 else if( IsUpper_v<MT> )
204 const size_t begin( IsStrictlyUpper_v<MT> ? index+1UL : index );
205 const size_t n (
mat_.columns() -
begin );
224 if( index >=
mat_.rows() ) {
227 return (*
this)[index];
236 inline size_t size() const noexcept {
277 template<
typename T >
278 inline bool canAlias(
const T* alias )
const noexcept {
279 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
289 template<
typename T >
290 inline bool isAliased(
const T* alias )
const noexcept {
291 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
301 return (
size() > SMP_SMATSVECMULT_THRESHOLD );
324 template<
typename VT1 >
336 if( x.nonZeros() == 0UL )
return;
348 TSMatSVecMultExpr::selectAssignKernel( *lhs, A, x );
367 template<
typename VT1
370 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
372 const auto vend ( x.end() );
373 auto velem( x.begin() );
375 for( ; velem!=vend; ++velem )
377 const auto mend ( A.end ( velem->index() ) );
378 auto melem( A.begin( velem->index() ) );
380 for( ; melem!=mend; ++melem ) {
383 y[melem->index()] = melem->value() * velem->value();
385 y[melem->index()] += melem->value() * velem->value();
404 template<
typename VT1 >
405 friend inline void assign( SparseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
411 const DynamicVector<ElementType_t<VT1>,
false> tmp(
serial( rhs ) );
430 template<
typename VT1 >
431 friend inline void addAssign( DenseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
439 if( x.nonZeros() == 0UL )
return;
451 TSMatSVecMultExpr::selectAddAssignKernel( *lhs, A, x );
470 template<
typename VT1
473 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
475 const auto vend ( x.end() );
476 auto velem( x.begin() );
478 for( ; velem!=vend; ++velem )
480 const auto mend ( A.end ( velem->index() ) );
481 auto melem( A.begin( velem->index() ) );
483 for( ; melem!=mend; ++melem ) {
484 y[melem->index()] += melem->value() * velem->value();
508 template<
typename VT1 >
509 friend inline void subAssign( DenseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
517 if( x.nonZeros() == 0UL )
return;
529 TSMatSVecMultExpr::selectSubAssignKernel( *lhs, A, x );
548 template<
typename VT1
551 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
553 const auto vend ( x.end() );
554 auto velem( x.begin() );
556 for( ; velem!=vend; ++velem )
558 const auto mend ( A.end ( velem->index() ) );
559 auto melem( A.begin( velem->index() ) );
561 for( ; melem!=mend; ++melem ) {
562 y[melem->index()] -= melem->value() * velem->value();
586 template<
typename VT1 >
587 friend inline void multAssign( DenseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
598 multAssign( *lhs, tmp );
622 template<
typename VT1 >
624 -> EnableIf_t< UseSMPAssign_v<VT1> >
635 if( x.nonZeros() == 0UL )
return;
671 template<
typename VT1 >
673 -> EnableIf_t< UseSMPAssign_v<VT1> >
681 if( x.nonZeros() == 0UL )
return;
717 template<
typename VT1 >
719 -> EnableIf_t< UseSMPAssign_v<VT1> >
727 if( x.nonZeros() == 0UL )
return;
763 template<
typename VT1 >
765 -> EnableIf_t< UseSMPAssign_v<VT1> >
824 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) ||
825 ( IsZero_v<MT> || IsZero_v<VT> ) >* =
nullptr >
826inline const TSMatSVecMultExpr<MT,VT>
827 tsmatsvecmult(
const SparseMatrix<MT,true>& mat,
const SparseVector<VT,false>& vec )
833 return TSMatSVecMultExpr<MT,VT>( *mat, *vec );
856 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) &&
857 !IsZero_v<VT> >* =
nullptr >
859 tsmatsvecmult(
const SparseMatrix<MT,true>& mat,
const SparseVector<VT,false>& vec )
888 , EnableIf_t< IsZero_v<MT> || IsZero_v<VT> >* =
nullptr >
890 tsmatsvecmult(
const SparseMatrix<MT,true>& mat,
const SparseVector<VT,false>& vec )
898 using ReturnType =
const MultTrait_t< ResultType_t<MT>, ResultType_t<VT> >;
903 return ReturnType( (*mat).rows() );
949 if( (*mat).columns() != (*vec).size() ) {
953 return tsmatsvecmult( *mat, *vec );
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.
Constraints on the storage order of matrix types.
Constraint on the transpose flag of vector types.
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 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 IsUpper type trait.
Deactivation of problematic macros.
Header file for the MAYBE_UNUSED function template.
Header file for the multiplication trait.
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 sparse matrix-sparse vector multiplications.
Definition: TSMatSVecMultExpr.h:104
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatSVecMultExpr.h:148
If_t< IsExpression_v< MT >, const MT, const MT & > LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:151
static constexpr bool evaluateVector
Compilation switch for the composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:120
CompositeType_t< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:110
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatSVecMultExpr.h:307
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatSVecMultExpr.h:256
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: TSMatSVecMultExpr.h:246
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatSVecMultExpr.h:144
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:115
If_t< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatSVecMultExpr.h:157
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSMatSVecMultExpr.h:223
TSMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the TSMatSVecMultExpr class.
Definition: TSMatSVecMultExpr.h:175
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSMatSVecMultExpr.h:189
ResultType_t< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:108
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:145
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse vector operand.
Definition: TSMatSVecMultExpr.h:266
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatSVecMultExpr.h:290
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSMatSVecMultExpr.h:236
MultTrait_t< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:142
RightOperand vec_
Right-hand side sparse vector of the multiplication expression.
Definition: TSMatSVecMultExpr.h:308
If_t< IsExpression_v< VT >, const VT, const VT & > RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:154
If_t< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side sparse vector operand.
Definition: TSMatSVecMultExpr.h:160
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatSVecMultExpr.h:278
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatSVecMultExpr.h:300
ResultType_t< MT > MRT
Result type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:107
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:143
CompositeType_t< MT > MCT
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:109
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatSVecMultExpr.h:165
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 implementation of an arbitrarily sized vector.
Header file for the Computation base class.
Header file for the MatVecMultExpr base class.
Header file for the SparseVector base class.
decltype(auto) serial(const DenseMatrix< MT, SO > &dm)
Forces the serial evaluation of the given dense matrix expression dm.
Definition: DMatSerialExpr.h:812
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_REQUIRE_EVALUATION(T)
Constraint on the data type.
Definition: RequiresEvaluation.h:81
#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_FORM_VALID_MATVECMULTEXPR(T1, T2)
Constraint on the data type.
Definition: MatVecMultExpr.h:104
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_VECTOR_TYPE(T)
Constraint on the data type.
Definition: SparseVector.h:61
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.
Definition: SparseMatrix.h:61
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_VECTOR_TYPE(T)
Constraint on the data type.
Definition: ColumnVector.h:61
#define BLAZE_CONSTRAINT_MUST_BE_COLUMN_MAJOR_MATRIX_TYPE(T)
Constraint on the data type.
Definition: ColumnMajorMatrix.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 begin(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator to the first element of row/column i.
Definition: Matrix.h:518
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:137
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.
Definition: Assert.h:101
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
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
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:192
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) 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
typename EnableIf<!Condition, T >::Type DisableIf_t
Auxiliary type for the EnableIf class template.
Definition: EnableIf.h:175
#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 matrix/vector multiplication expression templates.
Definition: MatVecMultExpr.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.