35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATSVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATSVECMULTEXPR_H_ 100 class TSMatSVecMultExpr
101 :
public MatVecMultExpr< SparseVector< TSMatSVecMultExpr<MT,VT>, false > >
102 ,
private Computation
119 static constexpr
bool evaluateVector = ( RequiresEvaluation_v<VT> || IsComputation_v<VT> );
128 template<
typename T1 >
187 if( IsDiagonal_v<MT> )
189 return mat_(index,index) *
vec_[index];
191 else if( IsLower_v<MT> )
193 const size_t n( IsStrictlyLower_v<MT> ? index : index+1UL );
197 else if( IsUpper_v<MT> )
199 const size_t begin( IsStrictlyUpper_v<MT> ? index+1UL : index );
200 const size_t n (
mat_.columns() -
begin );
219 if( index >=
mat_.rows() ) {
222 return (*
this)[index];
231 inline size_t size() const noexcept {
272 template<
typename T >
273 inline bool canAlias(
const T* alias )
const noexcept {
274 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
284 template<
typename T >
285 inline bool isAliased(
const T* alias )
const noexcept {
286 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
296 return (
size() > SMP_SMATSVECMULT_THRESHOLD );
319 template<
typename VT1 >
331 if( x.nonZeros() == 0UL )
return;
343 TSMatSVecMultExpr::selectAssignKernel( ~lhs, A, x );
362 template<
typename VT1
365 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
367 const auto vend ( x.end() );
368 auto velem( x.begin() );
370 for( ; velem!=vend; ++velem )
372 const auto mend ( A.end ( velem->index() ) );
373 auto melem( A.begin( velem->index() ) );
375 for( ; melem!=mend; ++melem ) {
378 y[melem->index()] = melem->value() * velem->value();
380 y[melem->index()] += melem->value() * velem->value();
399 template<
typename VT1 >
400 friend inline void assign( SparseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
406 const DynamicVector<ElementType_t<VT1>,
false> tmp(
serial( rhs ) );
425 template<
typename VT1 >
426 friend inline void addAssign( DenseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
434 if( x.nonZeros() == 0UL )
return;
446 TSMatSVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
465 template<
typename VT1
468 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
470 const auto vend ( x.end() );
471 auto velem( x.begin() );
473 for( ; velem!=vend; ++velem )
475 const auto mend ( A.end ( velem->index() ) );
476 auto melem( A.begin( velem->index() ) );
478 for( ; melem!=mend; ++melem ) {
479 y[melem->index()] += melem->value() * velem->value();
503 template<
typename VT1 >
504 friend inline void subAssign( DenseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
512 if( x.nonZeros() == 0UL )
return;
524 TSMatSVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
543 template<
typename VT1
546 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
548 const auto vend ( x.end() );
549 auto velem( x.begin() );
551 for( ; velem!=vend; ++velem )
553 const auto mend ( A.end ( velem->index() ) );
554 auto melem( A.begin( velem->index() ) );
556 for( ; melem!=mend; ++melem ) {
557 y[melem->index()] -= melem->value() * velem->value();
581 template<
typename VT1 >
582 friend inline void multAssign( DenseVector<VT1,false>& lhs,
const TSMatSVecMultExpr& rhs )
593 multAssign( ~lhs, tmp );
617 template<
typename VT1 >
619 -> EnableIf_t< UseSMPAssign_v<VT1> >
630 if( x.nonZeros() == 0UL )
return;
666 template<
typename VT1 >
668 -> EnableIf_t< UseSMPAssign_v<VT1> >
676 if( x.nonZeros() == 0UL )
return;
712 template<
typename VT1 >
714 -> EnableIf_t< UseSMPAssign_v<VT1> >
722 if( x.nonZeros() == 0UL )
return;
758 template<
typename VT1 >
760 -> EnableIf_t< UseSMPAssign_v<VT1> >
816 template<
typename MT
818 , DisableIf_t< ( IsIdentity_v<MT> &&
819 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) ||
820 ( IsZero_v<MT> || IsZero_v<VT> ) >* =
nullptr >
821 inline const TSMatSVecMultExpr<MT,VT>
822 tsmatsvecmult(
const SparseMatrix<MT,true>& mat,
const SparseVector<VT,false>& vec )
828 return TSMatSVecMultExpr<MT,VT>( ~mat, ~vec );
848 template<
typename MT
850 , EnableIf_t< ( IsIdentity_v<MT> &&
851 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) &&
852 !IsZero_v<VT> >* =
nullptr >
854 tsmatsvecmult(
const SparseMatrix<MT,true>& mat,
const SparseVector<VT,false>& vec )
881 template<
typename MT
883 , EnableIf_t< IsZero_v<MT> || IsZero_v<VT> >* =
nullptr >
884 inline decltype(
auto)
885 tsmatsvecmult( const SparseMatrix<MT,true>& mat, const SparseVector<VT,false>& vec )
893 using ReturnType =
const MultTrait_t< ResultType_t<MT>, ResultType_t<VT> >;
935 template<
typename MT
937 inline decltype(
auto)
948 return tsmatsvecmult( ~mat, ~vec );
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:329
CompositeType_t< VT > VCT
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:109
#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 declaration for the If class template.The If_t alias declaration provides a convenien...
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:251
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:241
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:591
static constexpr bool smpAssignable
Compilation flag for SMP assignments.
Definition: CompressedMatrix.h:3113
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSMatSVecMultExpr.h:231
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 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:160
Header file for the RequiresEvaluation type trait.
constexpr void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
Header file for the implementation of an arbitrarily sized vector.
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:140
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:137
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:218
Constraint on the data type.
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:137
constexpr bool IsResizable_v
Auxiliary variable template for the IsResizable type trait.The IsResizable_v variable template provid...
Definition: IsResizable.h:134
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:176
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:303
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatSVecMultExpr.h:295
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.
#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:139
#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:261
Header file for the exception macros of the math module.
Constraint on the data type.
Header file for all forward declarations for expression class templates.
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:285
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:143
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:273
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSMatSVecMultExpr.h:184
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatSVecMultExpr.h:138
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatSVecMultExpr.h:302
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:155
TSMatSVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the TSMatSVecMultExpr class.
Definition: TSMatSVecMultExpr.h:170
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:114
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:106
If_t< IsExpression_v< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatSVecMultExpr.h:146
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:152
#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:119
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
If_t< IsExpression_v< VT >, const VT, const VT &> RightOperand
Composite type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:149
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:138
Constraint on the data type.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:631
ResultType_t< VT > VRT
Result type of the right-hand side sparse vector expression.
Definition: TSMatSVecMultExpr.h:107
Header file for the IsUpper type trait.
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:108
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, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
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.