35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSVECSMATMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSVECSMATMULTEXPR_H_ 101 class TSVecSMatMultExpr
102 :
public TVecMatMultExpr< SparseVector< TSVecSMatMultExpr<VT,MT>, true > >
103 ,
private Computation
129 template<
typename T1 >
186 if( IsDiagonal_v<MT> )
188 return vec_[index] *
mat_(index,index);
190 else if( IsLower_v<MT> )
192 const size_t begin( IsStrictlyLower_v<MT> ? index+1UL : index );
197 else if( IsUpper_v<MT> )
199 const size_t n( IsStrictlyUpper_v<MT> ? index : index+1UL );
218 if( index >=
mat_.columns() ) {
221 return (*
this)[index];
230 inline size_t size() const noexcept {
231 return mat_.columns();
241 return mat_.columns();
271 template<
typename T >
272 inline bool canAlias(
const T* alias )
const noexcept {
273 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
283 template<
typename T >
284 inline bool isAliased(
const T* alias )
const noexcept {
285 return (
vec_.isAliased( alias ) ||
mat_.isAliased( alias ) );
295 return (
size() > SMP_TSVECSMATMULT_THRESHOLD );
318 template<
typename VT1 >
330 if( x.nonZeros() == 0UL )
return;
342 TSVecSMatMultExpr::selectAssignKernel( ~lhs, x, A );
361 template<
typename VT1
364 static inline void selectAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
366 const auto vend( x.end() );
367 auto velem( x.begin() );
369 for( ; velem!=vend; ++velem )
371 const auto mend( A.end( velem->index() ) );
372 auto melem( A.begin( velem->index() ) );
374 for( ; melem!=mend; ++melem ) {
377 y[melem->index()] = velem->value() * melem->value();
379 y[melem->index()] += velem->value() * melem->value();
398 template<
typename VT1 >
399 friend inline void assign( SparseVector<VT1,true>& lhs,
const TSVecSMatMultExpr& rhs )
405 const DynamicVector<ElementType_t<VT1>,
true> tmp(
serial( rhs ) );
424 template<
typename VT1 >
425 friend inline void addAssign( DenseVector<VT1,true>& lhs,
const TSVecSMatMultExpr& rhs )
433 if( x.nonZeros() == 0UL )
return;
445 TSVecSMatMultExpr::selectAddAssignKernel( ~lhs, x, A );
464 template<
typename VT1
467 static inline void selectAddAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
469 const auto vend( x.end() );
470 auto velem( x.begin() );
472 for( ; velem!=vend; ++velem )
474 const auto mend( A.end( velem->index() ) );
475 auto melem( A.begin( velem->index() ) );
477 for( ; melem!=mend; ++melem ) {
478 y[melem->index()] += velem->value() * melem->value();
502 template<
typename VT1 >
503 friend inline void subAssign( DenseVector<VT1,true>& lhs,
const TSVecSMatMultExpr& rhs )
511 if( x.nonZeros() == 0UL )
return;
523 TSVecSMatMultExpr::selectSubAssignKernel( ~lhs, x, A );
542 template<
typename VT1
545 static inline void selectSubAssignKernel( VT1& y,
const VT2& x,
const MT1& A )
547 const auto vend( x.end() );
548 auto velem( x.begin() );
550 for( ; velem!=vend; ++velem )
552 const auto mend( A.end( velem->index() ) );
553 auto melem( A.begin( velem->index() ) );
555 for( ; melem!=mend; ++melem ) {
556 y[melem->index()] -= velem->value() * melem->value();
580 template<
typename VT1 >
581 friend inline void multAssign( DenseVector<VT1,true>& lhs,
const TSVecSMatMultExpr& rhs )
592 multAssign( ~lhs, tmp );
616 template<
typename VT1 >
618 -> EnableIf_t< UseSMPAssign_v<VT1> >
629 if( x.nonZeros() == 0UL )
return;
665 template<
typename VT1 >
667 -> EnableIf_t< UseSMPAssign_v<VT1> >
675 if( x.nonZeros() == 0UL )
return;
711 template<
typename VT1 >
713 -> EnableIf_t< UseSMPAssign_v<VT1> >
721 if( x.nonZeros() == 0UL )
return;
757 template<
typename VT1 >
759 -> EnableIf_t< UseSMPAssign_v<VT1> >
815 template<
typename VT
817 , DisableIf_t< ( IsIdentity_v<MT> &&
818 IsSame_v< ElementType_t<VT>, ElementType_t<MT> > ) ||
819 ( IsZero_v<MT> || IsZero_v<VT> ) >* =
nullptr >
820 inline const TSVecSMatMultExpr<VT,MT>
821 tsvecsmatmult(
const SparseVector<VT,true>& vec,
const SparseMatrix<MT,false>& mat )
827 return TSVecSMatMultExpr<VT,MT>( ~vec, ~mat );
847 template<
typename VT
849 , EnableIf_t< ( IsIdentity_v<MT> &&
850 IsSame_v< ElementType_t<VT>, ElementType_t<MT> > ) &&
851 !IsZero_v<VT> >* =
nullptr >
853 tsvecsmatmult(
const SparseVector<VT,true>& vec,
const SparseMatrix<MT,false>& mat )
881 template<
typename VT
883 , EnableIf_t< IsZero_v<MT> || IsZero_v<VT> >* =
nullptr >
884 inline decltype(
auto)
885 tsvecsmatmult( const SparseVector<VT,true>& vec, const SparseMatrix<MT,false>& mat )
893 using ReturnType =
const MultTrait_t< ResultType_t<VT>, ResultType_t<MT> >;
935 template<
typename VT
937 inline decltype(
auto)
944 if( (~vec).
size() != (~mat).
rows() ) {
948 return tsvecsmatmult( ~vec, ~mat );
decltype(auto) subvector(Vector< VT, TF > &, RSAs...)
Creating a view on a specific subvector of the given vector.
Definition: Subvector.h:329
#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.
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSVecSMatMultExpr.h:140
Header file for the UNUSED_PARAMETER function template.
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
Header file for the serial shim.
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:120
Header file for the IsDiagonal type trait.
ResultType_t< VT > VRT
Result type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:107
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: TSVecSMatMultExpr.h:141
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
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.
LeftOperand leftOperand() const noexcept
Returns the left-hand side sparse vector operand.
Definition: TSVecSMatMultExpr.h:250
Header file for the Computation base class.
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSVecSMatMultExpr.h:230
Header file for the reset shim.
Constraints on the storage order of matrix types.
RightOperand mat_
Right-hand side sparse matrix of the multiplication expression.
Definition: TSVecSMatMultExpr.h:302
Header file for the RequiresEvaluation type trait.
constexpr void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSVecSMatMultExpr.h:183
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSVecSMatMultExpr.h:272
Header file for the implementation of an arbitrarily sized vector.
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSVecSMatMultExpr.h:139
TSVecSMatMultExpr(const VT &vec, const MT &mat) noexcept
Constructor for the TSVecSMatMultExpr class.
Definition: TSVecSMatMultExpr.h:169
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
If_t< evaluateMatrix, const MRT, MCT > RT
Type for the assignment of the right-hand side sparse matrix operand.
Definition: TSVecSMatMultExpr.h:154
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.
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
Header file for the If class template.
#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
Expression object for sparse vector-sparse matrix multiplications.The TSVecSMatMultExpr class represe...
Definition: Forward.h:183
#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
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSVecSMatMultExpr.h:217
size_t nonZeros() const
Returns an estimation for the number of non-zero elements in the sparse vector.
Definition: TSVecSMatMultExpr.h:240
Base class for N-dimensional dense vectors.The DenseVector class is a base class for all arbitrarily ...
Definition: DenseVector.h:76
ResultType_t< MT > MRT
Result type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:108
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSVecSMatMultExpr.h:159
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
#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
Header file for the exception macros of the math module.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSVecSMatMultExpr.h:284
Constraint on the data type.
Header file for all forward declarations for expression class templates.
Constraint on the data type.
Header file for the EnableIf class template.
Header file for the IsStrictlyLower type trait.
LeftOperand vec_
Left-hand side sparse vector of the multiplication expression.
Definition: TSVecSMatMultExpr.h:301
CompositeType_t< MT > MCT
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:110
If_t< IsExpression_v< MT >, const MT, const MT &> RightOperand
Composite type of the right-hand side sparse matrix expression.
Definition: TSVecSMatMultExpr.h:148
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
If_t< evaluateVector, const VRT, VCT > LT
Type for the assignment of the left-hand side sparse vector operand.
Definition: TSVecSMatMultExpr.h:151
#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
CompositeType_t< VT > VCT
Composite type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:109
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSVecSMatMultExpr.h:294
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
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
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 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
Header file for the TVecMatMultExpr base class.
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
MultTrait_t< VRT, MRT > ResultType
Result type for expression template evaluations.
Definition: TSVecSMatMultExpr.h:138
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
#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
RightOperand rightOperand() const noexcept
Returns the right-hand side sparse matrix operand.
Definition: TSVecSMatMultExpr.h:260
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
If_t< IsExpression_v< VT >, const VT, const VT &> LeftOperand
Composite type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:145
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSVecSMatMultExpr.h:142
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:138
#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
static constexpr bool evaluateVector
Compilation switch for the composite type of the left-hand side sparse vector expression.
Definition: TSVecSMatMultExpr.h:115
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:631
Header file for the IsUpper type trait.
Constraint on the data type.
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
Constraint on the transpose flag of vector types.
Header file for the IsExpression type trait class.
Header file for the function trace functionality.