sgpp::base::LinearClenshawCurtisBasis< LT, IT > Class Template Reference

Linear basis on Clenshaw-Curtis grids. More...

#include <LinearClenshawCurtisBasis.hpp>

Inheritance diagram for sgpp::base::LinearClenshawCurtisBasis< LT, IT >:

Public Member Functions
double	eval (LT l, IT i, double x) override
double	eval (LT level, IT index, double p, double offset, double width)
double	evalDx (LT level, IT index, double x) override
	Evaluate the basis functions derivative with given level and index.
size_t	getDegree () const override
	Returns the polynomial degree of the basis.
double	getIntegral (LT level, IT index) override
	returns the integal of the current basis function
	LinearClenshawCurtisBasis ()
	~LinearClenshawCurtisBasis () override
	Destructor.
Public Member Functions inherited from sgpp::base::Basis< LT, IT >
virtual	~Basis ()
	Destructor.

Protected Attributes
ClenshawCurtisTable &	clenshawCurtisTable
	reference to the Clenshaw-Curtis cache table

Detailed Description

template<class LT, class IT>
class sgpp::base::LinearClenshawCurtisBasis< LT, IT >

Linear basis on Clenshaw-Curtis grids.

Constructor & Destructor Documentation

LinearClenshawCurtisBasis()

template<class LT , class IT >

sgpp::base::LinearClenshawCurtisBasis< LT, IT >::LinearClenshawCurtisBasis ( )

inline

~LinearClenshawCurtisBasis()

template<class LT , class IT >

sgpp::base::LinearClenshawCurtisBasis< LT, IT >::~LinearClenshawCurtisBasis ( )

inlineoverride

Destructor.

Member Function Documentation

eval() [1/2]

template<class LT , class IT >

double sgpp::base::LinearClenshawCurtisBasis< LT, IT >::eval ( LT  l, IT  i, double  x  )

inlineoverridevirtual

Parameters

l	level of basis function
i	index of basis function
x	evaluation point

Returns

value of Clenshaw-Curtis linear basis function

Implements sgpp::base::Basis< LT, IT >.

References sgpp::base::LinearClenshawCurtisBasis< LT, IT >::clenshawCurtisTable, and sgpp::base::ClenshawCurtisTable::getPoint().

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalLinearClenshawCurtisNaive::eval(), sgpp::base::OperationEvalLinearClenshawCurtisNaive::eval(), sgpp::base::LinearClenshawCurtisBoundaryBasis< LT, IT >::eval(), sgpp::base::LinearClenshawCurtisBasis< LT, IT >::eval(), sgpp::base::OperationMultipleEvalLinearClenshawCurtisNaive::mult(), and sgpp::base::OperationMultipleEvalLinearClenshawCurtisNaive::multTranspose().

eval() [2/2]

template<class LT , class IT >

double sgpp::base::LinearClenshawCurtisBasis< LT, IT >::eval ( LT  level, IT  index, double  p, double  offset, double  width  )

inline

References sgpp::base::LinearClenshawCurtisBasis< LT, IT >::eval(), and level.

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity().

evalDx()

template<class LT , class IT >

double sgpp::base::LinearClenshawCurtisBasis< LT, IT >::evalDx ( LT  level, IT  index, double  x  )

inlineoverridevirtual

Evaluate the basis functions derivative with given level and index.

Parameters

level	level of the basis function
index	index of the basis function
x	evaluation point

Returns

value of the basis functions derivative.

Implements sgpp::base::Basis< LT, IT >.

getDegree()

template<class LT , class IT >

size_t sgpp::base::LinearClenshawCurtisBasis< LT, IT >::getDegree ( ) const

inlineoverridevirtual

Returns the polynomial degree of the basis.

Returns

polynomial degree of the basis

Implements sgpp::base::Basis< LT, IT >.

getIntegral()

template<class LT , class IT >

double sgpp::base::LinearClenshawCurtisBasis< LT, IT >::getIntegral ( LT  level, IT  index  )

inlineoverridevirtual

returns the integal of the current basis function

Parameters

level	level of the basis function
index	index of the basis function

Returns

Implements sgpp::base::Basis< LT, IT >.

References sgpp::base::LinearClenshawCurtisBasis< LT, IT >::clenshawCurtisTable, sgpp::base::ClenshawCurtisTable::getPoint(), and level.

Referenced by sgpp::base::OperationQuadratureLinearClenshawCurtis::doQuadrature(), sgpp::base::LinearClenshawCurtisBoundaryBasis< LT, IT >::getIntegral(), and sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT >::getIntegral().

Member Data Documentation

clenshawCurtisTable

template<class LT , class IT >

ClenshawCurtisTable& sgpp::base::LinearClenshawCurtisBasis< LT, IT >::clenshawCurtisTable

protected

reference to the Clenshaw-Curtis cache table

Referenced by sgpp::base::LinearClenshawCurtisBasis< LT, IT >::eval(), and sgpp::base::LinearClenshawCurtisBasis< LT, IT >::getIntegral().

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

• base/src/sgpp/base/operation/hash/common/basis/LinearClenshawCurtisBasis.hpp