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

Hierarchical Not-a-knot B-spline basis. More...

#include <NakBsplineBoundaryBasis.hpp>

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

Public Member Functions
double	eval (LT l, IT i, double x) override
double	evalDx (LT l, IT i, double x) override
size_t	getDegree () const override
double	getIntegral (LT l, IT i) override
double	getMean (LT l, IT i, std::shared_ptr< sgpp::base::Distribution > pdf, std::shared_ptr< sgpp::base::DataVector > quadCoordinates, std::shared_ptr< sgpp::base::DataVector > quadWeights)
	NakBsplineBoundaryBasis ()
	Default constructor.
	NakBsplineBoundaryBasis (size_t degree)
	Constructor.
	~NakBsplineBoundaryBasis () override
	Destructor.
Public Member Functions inherited from sgpp::base::Basis< LT, IT >
virtual	~Basis ()
	Destructor.

Protected Attributes
NakBsplineBasis< LT, IT >	nakBsplineBasis
	not a knot B-spline basis

Detailed Description

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

Hierarchical Not-a-knot B-spline basis.

This basis has the canonical choice of a constant basis function on level 0

Constructor & Destructor Documentation

NakBsplineBoundaryBasis() [1/2]

template<class LT , class IT >

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

inline

Default constructor.

NakBsplineBoundaryBasis() [2/2]

template<class LT , class IT >

sgpp::base::NakBsplineBoundaryBasis< LT, IT >::NakBsplineBoundaryBasis ( size_t  degree )

inlineexplicit

Constructor.

Parameters

degree

B-spline degree, must be odd (if it's even, degree - 1 is used)

References sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getDegree().

~NakBsplineBoundaryBasis()

template<class LT , class IT >

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

inlineoverride

Destructor.

Member Function Documentation

eval()

template<class LT , class IT >

double sgpp::base::NakBsplineBoundaryBasis< 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 basis function

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

References sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getDegree(), and sgpp::base::NakBsplineBoundaryBasis< LT, IT >::nakBsplineBasis.

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalNakBsplineBoundaryNaive::eval(), sgpp::base::OperationEvalNakBsplineBoundaryNaive::eval(), sgpp::base::OperationMultipleEvalNakBsplineBoundaryNaive::mult(), and sgpp::base::OperationMultipleEvalNakBsplineBoundaryNaive::multTranspose().

evalDx()

template<class LT , class IT >

double sgpp::base::NakBsplineBoundaryBasis< LT, IT >::evalDx ( LT  l, IT  i, double  x  )

inlineoverridevirtual

Parameters

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

Returns

value of derivative of basis function

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

References sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getDegree(), and sgpp::base::NakBsplineBoundaryBasis< LT, IT >::nakBsplineBasis.

getDegree()

template<class LT , class IT >

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

inlineoverridevirtual

Returns

B-spline degree

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

References sgpp::base::NakBsplineBoundaryBasis< LT, IT >::nakBsplineBasis.

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

getIntegral()

template<class LT , class IT >

double sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getIntegral ( LT  l, IT  i  )

inlineoverridevirtual

Parameters

l	level of basis function
i	index of basis function

Returns

integral of basis function

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

References sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getDegree(), sgpp::base::GaussLegendreQuadRule1D::getLevelPointsAndWeightsNormalized(), and sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getMean().

Referenced by sgpp::base::OperationQuadratureNakBsplineBoundary::doQuadrature().

getMean()

template<class LT , class IT >

double sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getMean ( LT  l, IT  i, std::shared_ptr< sgpp::base::Distribution >  pdf, std::shared_ptr< sgpp::base::DataVector >  quadCoordinates, std::shared_ptr< sgpp::base::DataVector >  quadWeights  )

inline

References sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getDegree().

Referenced by sgpp::base::OperationWeightedQuadratureNakBsplineBoundary::doWeightedQuadrature(), and sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getIntegral().

Member Data Documentation

nakBsplineBasis

template<class LT , class IT >

NakBsplineBasis<LT, IT> sgpp::base::NakBsplineBoundaryBasis< LT, IT >::nakBsplineBasis

protected

not a knot B-spline basis

Referenced by sgpp::base::NakBsplineBoundaryBasis< LT, IT >::eval(), sgpp::base::NakBsplineBoundaryBasis< LT, IT >::evalDx(), and sgpp::base::NakBsplineBoundaryBasis< LT, IT >::getDegree().

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

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