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

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

#include <NakBsplineBasis.hpp>

Inheritance diagram for sgpp::base::NakBsplineBasis< 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)
	NakBsplineBasis ()
	Default constructor.
	NakBsplineBasis (size_t degree)
	Constructor.
	~NakBsplineBasis () override
	Destructor.
Public Member Functions inherited from sgpp::base::Basis< LT, IT >
virtual	~Basis ()
	Destructor.

Protected Attributes
BsplineBasis< LT, IT >	bsplineBasis
	B-spline basis for B-spline evaluation.

Detailed Description

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

Not-a-knot B-spline basis.

Constructor & Destructor Documentation

NakBsplineBasis() [1/2]

template<class LT , class IT >

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

inline

Default constructor.

NakBsplineBasis() [2/2]

template<class LT , class IT >

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

inlineexplicit

Constructor.

Parameters

degree

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

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

~NakBsplineBasis()

template<class LT , class IT >

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

inlineoverride

Destructor.

Member Function Documentation

eval()

template<class LT , class IT >

double sgpp::base::NakBsplineBasis< 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::NakBsplineBasis< LT, IT >::bsplineBasis, and sgpp::base::NakBsplineBasis< LT, IT >::getDegree().

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalNakBsplineNaive::eval(), sgpp::base::OperationEvalNakBsplineNaive::eval(), sgpp::base::OperationEvalGradientNakBsplineBoundaryNaive::evalGradient(), sgpp::base::OperationEvalGradientNakBsplineNaive::evalGradient(), sgpp::base::OperationEvalGradientNakBsplineBoundaryNaive::evalGradient(), sgpp::base::OperationEvalGradientNakBsplineNaive::evalGradient(), sgpp::base::OperationEvalHessianNakBsplineBoundaryNaive::evalHessian(), sgpp::base::OperationEvalHessianNakBsplineBoundaryNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeNakBsplineBoundaryNaive::evalPartialDerivative(), and sgpp::base::OperationEvalPartialDerivativeNakBsplineBoundaryNaive::evalPartialDerivative().

evalDx()

template<class LT , class IT >

double sgpp::base::NakBsplineBasis< 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 B-spline basis function

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

References sgpp::base::NakBsplineBasis< LT, IT >::bsplineBasis, and sgpp::base::NakBsplineBasis< LT, IT >::getDegree().

Referenced by sgpp::base::OperationEvalGradientNakBsplineNaive::evalGradient(), and sgpp::base::OperationEvalGradientNakBsplineNaive::evalGradient().

getDegree()

template<class LT , class IT >

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

inlineoverridevirtual

Returns

B-spline degree

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

References sgpp::base::NakBsplineBasis< LT, IT >::bsplineBasis.

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

getIntegral()

template<class LT , class IT >

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

getMean()

template<class LT , class IT >

double sgpp::base::NakBsplineBasis< 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

Parameters

l	level of basis function
i	index of basis function
pdf	probability density function
quadCoordinates	coordinates of the quadrature rule to be used
quadWeights	weights of the quadrature rule to be used

Returns

integral of basis function

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

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

Member Data Documentation

bsplineBasis

template<class LT , class IT >

BsplineBasis<LT, IT> sgpp::base::NakBsplineBasis< LT, IT >::bsplineBasis

protected

B-spline basis for B-spline evaluation.

Referenced by sgpp::base::NakBsplineBasis< LT, IT >::eval(), sgpp::base::NakBsplineBasis< LT, IT >::evalDx(), and sgpp::base::NakBsplineBasis< 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/NakBsplineBasis.hpp