35 #ifndef _BLAZE_MATH_EXPRESSIONS_TSMATDVECMULTEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_TSMATDVECMULTEXPR_H_ 102 template<
typename MT
104 class TSMatDVecMultExpr
105 :
public MatVecMultExpr< DenseVector< TSMatDVecMultExpr<MT,VT>, false > >
106 ,
private Computation
123 static constexpr
bool evaluateVector = ( IsComputation_v<VT> || RequiresEvaluation_v<VT> );
132 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 {
267 template<
typename T >
268 inline bool canAlias(
const T* alias )
const noexcept {
269 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
279 template<
typename T >
280 inline bool isAliased(
const T* alias )
const noexcept {
281 return (
mat_.isAliased( alias ) ||
vec_.isAliased( alias ) );
291 return vec_.isAligned();
301 return (
size() > SMP_TSMATDVECMULT_THRESHOLD );
324 template<
typename VT2 >
333 if( rhs.mat_.columns() == 0UL )
return;
343 TSMatDVecMultExpr::selectAssignKernel( ~lhs, A, x );
362 template<
typename VT1
365 static inline void selectAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
367 for(
size_t j=0UL; j<A.columns(); ++j )
369 auto element( A.begin(j) );
370 const auto end( A.end(j) );
372 for( ; element!=
end; ++element ) {
375 y[element->index()] = element->value() * x[j];
377 y[element->index()] += element->value() * x[j];
397 template<
typename VT2 >
398 friend inline void assign( SparseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
427 template<
typename VT2 >
428 friend inline void addAssign( DenseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
434 if( rhs.mat_.columns() == 0UL )
return;
444 TSMatDVecMultExpr::selectAddAssignKernel( ~lhs, A, x );
463 template<
typename VT1
466 static inline void selectAddAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
468 for(
size_t j=0UL; j<A.columns(); ++j )
470 auto element( A.begin(j) );
471 const auto end( A.end(j) );
473 for( ; element!=
end; ++element ) {
474 y[element->index()] += element->value() * x[j];
498 template<
typename VT2 >
499 friend inline void subAssign( DenseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
505 if( rhs.mat_.columns() == 0UL )
return;
515 TSMatDVecMultExpr::selectSubAssignKernel( ~lhs, A, x );
534 template<
typename VT1
537 static inline void selectSubAssignKernel( VT1& y,
const MT1& A,
const VT2& x )
539 for(
size_t j=0UL; j<A.columns(); ++j )
541 auto element( A.begin(j) );
542 const auto end( A.end(j) );
544 for( ; element!=
end; ++element ) {
545 y[element->index()] -= element->value() * x[j];
569 template<
typename VT2 >
570 friend inline void multAssign( DenseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
581 multAssign( ~lhs, tmp );
603 template<
typename VT2 >
604 friend inline void divAssign( DenseVector<VT2,false>& lhs,
const TSMatDVecMultExpr& rhs )
615 divAssign( ~lhs, tmp );
639 template<
typename VT2 >
641 -> EnableIf_t< UseSMPAssign_v<VT2> >
649 if( rhs.mat_.columns() == 0UL )
return;
679 template<
typename VT2 >
681 -> EnableIf_t< UseSMPAssign_v<VT2> >
712 template<
typename VT2 >
714 -> EnableIf_t< UseSMPAssign_v<VT2> >
720 if( rhs.mat_.columns() == 0UL )
return;
754 template<
typename VT2 >
756 -> EnableIf_t< UseSMPAssign_v<VT2> >
762 if( rhs.mat_.columns() == 0UL )
return;
796 template<
typename VT2 >
798 -> EnableIf_t< UseSMPAssign_v<VT2> >
833 template<
typename VT2 >
835 -> EnableIf_t< UseSMPAssign_v<VT2> >
891 template<
typename MT
893 , DisableIf_t< IsSymmetric_v<MT> ||
894 ( IsIdentity_v<MT> &&
895 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) ||
896 IsZero_v<MT> >* =
nullptr >
897 inline const TSMatDVecMultExpr<MT,VT>
898 tsmatdvecmult(
const SparseMatrix<MT,true>& mat,
const DenseVector<VT,false>& vec )
904 return TSMatDVecMultExpr<MT,VT>( ~mat, ~vec );
924 template<
typename MT
926 , EnableIf_t< IsSymmetric_v<MT> &&
927 !( IsIdentity_v<MT> &&
928 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > ) &&
929 !IsZero_v<MT> >* =
nullptr >
930 inline decltype(
auto)
931 tsmatdvecmult(
const SparseMatrix<MT,true>& mat,
const DenseVector<VT,false>& vec )
937 return trans( ~mat ) * (~vec);
957 template<
typename MT
959 , EnableIf_t< IsIdentity_v<MT> &&
960 IsSame_v< ElementType_t<MT>, ElementType_t<VT> > >* =
nullptr >
962 tsmatdvecmult(
const SparseMatrix<MT,true>& mat,
const DenseVector<VT,false>& vec )
989 template<
typename MT
991 , EnableIf_t< IsZero_v<MT> >* =
nullptr >
992 inline decltype(
auto)
993 tsmatdvecmult( const SparseMatrix<MT,true>& mat, const DenseVector<VT,false>& vec )
1001 using ReturnType =
const MultTrait_t< ResultType_t<MT>, ResultType_t<VT> >;
1043 template<
typename MT
1045 inline decltype(
auto)
1056 return tsmatdvecmult( ~mat, ~vec );
1071 template<
typename MT,
typename VT >
1072 struct IsAligned< TSMatDVecMultExpr<MT,VT> >
1073 :
public IsAligned<VT>
static constexpr bool evaluateMatrix
Compilation switch for the composite type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:118
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
LeftOperand mat_
Left-hand side sparse matrix of the multiplication expression.
Definition: TSMatDVecMultExpr.h:307
Header file for auxiliary alias declarations.
Header file for the blaze::checked and blaze::unchecked instances.
Expression object for transpose sparse matrix-dense vector multiplications.The TSMatDVecMultExpr clas...
Definition: Forward.h:172
Header file for the UNUSED_PARAMETER function template.
bool isAliased(const T *alias) const noexcept
Returns whether the expression is aliased with the given address alias.
Definition: TSMatDVecMultExpr.h:280
LeftOperand leftOperand() const noexcept
Returns the left-hand side transpose sparse matrix operand.
Definition: TSMatDVecMultExpr.h:246
Header file for basic type definitions.
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
ReturnType operator[](size_t index) const
Subscript operator for the direct access to the vector elements.
Definition: TSMatDVecMultExpr.h:189
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.
ReturnType at(size_t index) const
Checked access to the vector elements.
Definition: TSMatDVecMultExpr.h:223
bool canSMPAssign() const noexcept
Returns whether the expression can be used in SMP assignments.
Definition: TSMatDVecMultExpr.h:300
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
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
CompositeType_t< MT > MCT
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:112
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 DenseVector base class.
Header file for the IsIdentity type trait.
size_t size() const noexcept
Returns the current size/dimension of the vector.
Definition: TSMatDVecMultExpr.h:236
Header file for the Computation base class.
Header file for the reset shim.
Header file for the RequiresEvaluation type trait.
constexpr void UNUSED_PARAMETER(const Args &...)
Suppression of unused parameter warnings.
Definition: Unused.h:81
ResultType_t< MT > MRT
Result type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:110
static constexpr bool evaluateVector
Compilation switch for the composite type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:123
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
auto smpDivAssign(Vector< VT1, TF1 > &lhs, const Vector< VT2, TF2 > &rhs) -> EnableIf_t< IsDenseVector_v< VT1 > >
Default implementation of the SMP division assignment of a vector to a dense vector.
Definition: DenseVector.h:220
If_t< evaluateVector, const VRT, VCT > RT
Type for the assignment of the right-hand side dense vector operand.
Definition: TSMatDVecMultExpr.h:157
static constexpr bool simdEnabled
Compilation switch for the expression template evaluation strategy.
Definition: TSMatDVecMultExpr.h:162
Constraint on the transpose flag of vector types.
Constraint on the data type.
RightOperand vec_
Right-hand side dense vector of the multiplication expression.
Definition: TSMatDVecMultExpr.h:308
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.
bool isAligned() const noexcept
Returns whether the operands of the expression are properly aligned in memory.
Definition: TSMatDVecMultExpr.h:290
Header file for the IsSymmetric 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_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
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.
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
#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
ElementType_t< ResultType > ElementType
Resulting element type.
Definition: TSMatDVecMultExpr.h:143
Constraint on the data type.
Header file for the exception macros of the math module.
MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:438
Constraint on the data type.
Header file for all forward declarations for expression class templates.
If_t< IsExpression_v< VT >, const VT, const VT &> RightOperand
Composite type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:151
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 right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:111
const ResultType CompositeType
Data type for composite expression templates.
Definition: TSMatDVecMultExpr.h:145
#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, a compilation error is created.
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.
static constexpr bool smpAssignable
Compilation switch for the expression template assignment strategy.
Definition: TSMatDVecMultExpr.h:165
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
decltype(auto) row(Matrix< MT, SO > &, RRAs...)
Creating a view on a specific row of the given matrix.
Definition: Row.h:133
RightOperand rightOperand() const noexcept
Returns the right-hand side dense vector operand.
Definition: TSMatDVecMultExpr.h:256
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
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
Constraint on the data type.
TransposeType_t< ResultType > TransposeType
Transpose type for expression template evaluations.
Definition: TSMatDVecMultExpr.h:142
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
#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
bool canAlias(const T *alias) const noexcept
Returns whether the expression can alias with the given address alias.
Definition: TSMatDVecMultExpr.h:268
If_t< IsExpression_v< MT >, const MT, const MT &> LeftOperand
Composite type of the left-hand side sparse matrix expression.
Definition: TSMatDVecMultExpr.h:148
TSMatDVecMultExpr(const MT &mat, const VT &vec) noexcept
Constructor for the TSMatDVecMultExpr class.
Definition: TSMatDVecMultExpr.h:175
const Type & ReturnType
Return type for expression template evaluations.
Definition: CompressedMatrix.h:3081
#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
decltype(auto) trans(const DenseMatrix< MT, SO > &dm)
Calculation of the transpose of the given dense matrix.
Definition: DMatTransExpr.h:765
MultTrait_t< MRT, VRT > ResultType
Result type for expression template evaluations.
Definition: TSMatDVecMultExpr.h:141
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
const ElementType ReturnType
Return type for expression template evaluations.
Definition: TSMatDVecMultExpr.h:144
Constraint on the data type.
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.
Header file for the MatVecMultExpr base class.
CompositeType_t< VT > VCT
Composite type of the right-hand side dense vector expression.
Definition: TSMatDVecMultExpr.h:113
Constraint on the data type.
Header file for the IsResizable type trait.
If_t< evaluateMatrix, const MRT, MCT > LT
Type for the assignment of the left-hand side sparse matrix operand.
Definition: TSMatDVecMultExpr.h:154
#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.