sgpp::base::GetAffectedBasisFunctions< PrewaveletBasis< unsigned int, unsigned int > > Class Template Reference

Template Specialization for prewavelet basis. More...

#include <GetAffectedBasisFunctions.hpp>

Public Member Functions
	GetAffectedBasisFunctions (GridStorage &storage)
void	operator() (SPrewaveletBase &basis, const DataVector &point, std::vector< std::pair< size_t, double > > &result)
	Returns evaluations of all basis functions that are non-zero at a given evaluation point. More...
	~GetAffectedBasisFunctions ()

Protected Types
typedef index_t	index_type
typedef level_t	level_type

Protected Member Functions
void	rec (SPrewaveletBase &basis, const DataVector &point, size_t current_dim, GridStorage::grid_iterator &iter, std::vector< std::pair< size_t, double > > &result)
	Recursive traversal of the "tree" of basis functions for evaluation, used in operator(). More...

Protected Attributes
GridStorage &	storage

Detailed Description

template<>
class sgpp::base::GetAffectedBasisFunctions< PrewaveletBasis< unsigned int, unsigned int > >

Template Specialization for prewavelet basis.

Member Typedef Documentation

index_type

typedef index_t sgpp::base::GetAffectedBasisFunctions< PrewaveletBasis< unsigned int, unsigned int > >::index_type

protected

level_type

typedef level_t sgpp::base::GetAffectedBasisFunctions< PrewaveletBasis< unsigned int, unsigned int > >::level_type

protected

Constructor & Destructor Documentation

GetAffectedBasisFunctions()

sgpp::base::GetAffectedBasisFunctions< PrewaveletBasis< unsigned int, unsigned int > >::GetAffectedBasisFunctions ( GridStorage &  storage )

inlineexplicit

~GetAffectedBasisFunctions()

sgpp::base::GetAffectedBasisFunctions< PrewaveletBasis< unsigned int, unsigned int > >::~GetAffectedBasisFunctions ( )

inline

Member Function Documentation

operator()()

void sgpp::base::GetAffectedBasisFunctions< PrewaveletBasis< unsigned int, unsigned int > >::operator() ( SPrewaveletBase &  basis, const DataVector &  point, std::vector< std::pair< size_t, double > > &  result  )

inline

Returns evaluations of all basis functions that are non-zero at a given evaluation point.

For a given evaluation point \(x\), it stores tuples (std::pair) of \((i,\phi_i(x))\) in the result vector for all basis functions that are non-zero. If one wants to evaluate \(f_N(x)\), one only has to compute

\[ \sum_{r\in\mathbf{result}} \alpha[r\rightarrow\mathbf{first}] \cdot r\rightarrow\mathbf{second}. \]

Parameters

basis	a sparse grid basis
point	evaluation point within the domain
result	a vector to store the results in

References sgpp::base::GetAffectedBasisFunctions< BASIS >::rec(), and sgpp::base::GetAffectedBasisFunctions< BASIS >::storage.

rec()

void sgpp::base::GetAffectedBasisFunctions< PrewaveletBasis< unsigned int, unsigned int > >::rec ( SPrewaveletBase &  basis, const DataVector &  point, size_t  current_dim, GridStorage::grid_iterator &  iter, std::vector< std::pair< size_t, double > > &  result  )

inlineprotected

Recursive traversal of the "tree" of basis functions for evaluation, used in operator().

For a given evaluation point \(x\), it stores tuples (std::pair) of \((i,\phi_i(x))\) in the result vector for all basis functions that are non-zero.

Parameters

basis	a sparse grid basis
point	evaluation point within the domain
current_dim	the dimension currently looked at (recursion parameter)
iter	iterator working on the GridStorage of the basis
result	a vector to store the results in

References sgpp::base::PrewaveletBasis< LT, IT >::eval(), sgpp::base::HashGridIterator::get(), sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridIterator::hintLeft(), sgpp::base::HashGridIterator::hintRight(), sgpp::base::HashGridIterator::leftChild(), sgpp::base::GetAffectedBasisFunctions< BASIS >::rec(), sgpp::base::HashGridIterator::rightChild(), sgpp::base::HashGridIterator::seq(), and sgpp::base::HashGridIterator::set().

Member Data Documentation

storage

GridStorage& sgpp::base::GetAffectedBasisFunctions< PrewaveletBasis< unsigned int, unsigned int > >::storage

protected

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The documentation for this class was generated from the following file:

• base/src/sgpp/base/algorithm/GetAffectedBasisFunctions.hpp