sgpp::base::OperationWeightedSecondMomentNak Class Reference

This class provides the second moment of a sparse grid function f given as interpolant of any not a knot B-spline basis w.r.t. More...

#include <OperationWeightedSecondMomentNak.hpp>

Inheritance diagram for sgpp::base::OperationWeightedSecondMomentNak:

Public Member Functions
double	doWeightedQuadrature (DataVector &alpha, sgpp::base::DistributionsVector pdfs) override
	Quadrature for not a knot B-spline basis functions w.r.t.
std::shared_ptr< sgpp::base::SBasis >	initializeBasis (sgpp::base::GridType gridType, size_t degree)
	initializes a nak B spline basis according to gridType and degree
	OperationWeightedSecondMomentNak (GridStorage &storage, GridType gridType, size_t degree, size_t quadOrder)
	Constructor of OperationQuadratureNakBsplineExtended.
	~OperationWeightedSecondMomentNak () override
Public Member Functions inherited from sgpp::base::OperationWeightedSecondMoment
	OperationWeightedSecondMoment ()
	Constructor.
virtual	~OperationWeightedSecondMoment ()
	Destructor.

Detailed Description

This class provides the second moment of a sparse grid function f given as interpolant of any not a knot B-spline basis w.r.t.

a probability density function rho, i.e. int f(x)^2 rho (x) dx

Constructor & Destructor Documentation

OperationWeightedSecondMomentNak()

sgpp::base::OperationWeightedSecondMomentNak::OperationWeightedSecondMomentNak ( GridStorage &  storage, GridType  gridType, size_t  degree, size_t  quadOrder  )

inline

Constructor of OperationQuadratureNakBsplineExtended.

Parameters

storage	Pointer to the grid's GridStorage object
gridType	grid type
degree	the B-spline degree
quadOrder	quadrature order

References sgpp::base::GaussLegendreQuadRule1D::getLevelPointsAndWeightsNormalized(), and initializeBasis().

~OperationWeightedSecondMomentNak()

sgpp::base::OperationWeightedSecondMomentNak::~OperationWeightedSecondMomentNak ( )

inlineoverride

Member Function Documentation

doWeightedQuadrature()

double sgpp::base::OperationWeightedSecondMomentNak::doWeightedQuadrature ( DataVector &  alpha, sgpp::base::DistributionsVector  pdfs  )

overridevirtual

Quadrature for not a knot B-spline basis functions w.r.t.

a probability density function

Parameters

alpha	Coefficient vector for current grid
pdfs	probability density functions

Implements sgpp::base::OperationWeightedSecondMoment.

References alpha, sgpp::base::DistributionsVector::get(), sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridStorage::getPointIndex(), sgpp::base::HashGridStorage::getPointLevel(), and sgpp::base::DataVector::getSize().

initializeBasis()

std::shared_ptr< sgpp::base::SBasis > sgpp::base::OperationWeightedSecondMomentNak::initializeBasis	(	sgpp::base::GridType	gridType,
		size_t	degree
	)

initializes a nak B spline basis according to gridType and degree

Parameters

gridType	type of the basis
degree	degree of the basis

Returns

the nak Bsplien basis

References sgpp::base::ModNakBspline, sgpp::base::NakBspline, sgpp::base::NakBsplineBoundary, sgpp::base::NakBsplineExtended, and sgpp::base::NakPBspline.

Referenced by OperationWeightedSecondMomentNak().

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

• base/src/sgpp/base/operation/hash/OperationWeightedSecondMomentNak.hpp
• base/src/sgpp/base/operation/hash/OperationWeightedSecondMomentNak.cpp