Quadrature on sparse grid, linear grid without boundaries. More...

#include <OperationQuadratureLinearClenshawCurtis.hpp>

Inheritance diagram for sgpp::base::OperationQuadratureLinearClenshawCurtis:

Public Member Functions
double	doQuadrature (DataVector &alpha) override
	Quadrature for piecewise linear hat basis functions. More...

	OperationQuadratureLinearClenshawCurtis (GridStorage &storage)
	Constructor of OperationQuadratureLinearClenshawCurtis. More...

	~OperationQuadratureLinearClenshawCurtis () override

Public Member Functions inherited from sgpp::base::OperationQuadrature
	OperationQuadrature ()
	Constructor. More...

virtual	~OperationQuadrature ()
	Destructor. More...

Protected Attributes
SLinearClenshawCurtisBase	base
	Poly Boundary Basis object. More...

GridStorage &	storage

Detailed Description

Quadrature on sparse grid, linear grid without boundaries.

Constructor & Destructor Documentation

◆ OperationQuadratureLinearClenshawCurtis()

sgpp::base::OperationQuadratureLinearClenshawCurtis::OperationQuadratureLinearClenshawCurtis ( GridStorage & storage )

inlineexplicit

Constructor of OperationQuadratureLinearClenshawCurtis.

Parameters

storage Pointer to the grid's GridStorage object

◆ ~OperationQuadratureLinearClenshawCurtis()

sgpp::base::OperationQuadratureLinearClenshawCurtis::~OperationQuadratureLinearClenshawCurtis ( )

inlineoverride

References alpha, and doQuadrature().

Member Function Documentation

◆ doQuadrature()

double sgpp::base::OperationQuadratureLinearClenshawCurtis::doQuadrature ( DataVector & alpha )

overridevirtual

Quadrature for piecewise linear hat basis functions.

Computes

\[ \sum_{\vec{l}} 2^{-|\vec{l}|}\alpha_{\vec{l}}. \]

Parameters

alpha Coefficient vector for current grid

Implements sgpp::base::OperationQuadrature.

References base, sgpp::base::HashGridStorage::getBoundingBox(), sgpp::base::HashGridStorage::getDimension(), sgpp::base::HashGridPoint::getIndex(), sgpp::base::LinearClenshawCurtisBasis< LT, IT >::getIntegral(), sgpp::base::BoundingBox::getIntervalWidth(), sgpp::base::HashGridPoint::getLevel(), sgpp::base::HashGridStorage::getPoint(), sgpp::base::DataVector::getSize(), python.statsfileInfo::i, and storage.

Referenced by ~OperationQuadratureLinearClenshawCurtis().

Member Data Documentation

◆ base

SLinearClenshawCurtisBase sgpp::base::OperationQuadratureLinearClenshawCurtis::base

protected

Poly Boundary Basis object.

Referenced by doQuadrature().

◆ storage

GridStorage& sgpp::base::OperationQuadratureLinearClenshawCurtis::storage