sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT > Class Template Reference

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

#include <NakBsplineModifiedBasisDeriv1.hpp>

Inheritance diagram for sgpp::base::NakBsplineModifiedBasisDeriv1< 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 level, IT index) override
	returns the integal of the current basis function
	NakBsplineModifiedBasisDeriv1 ()
	Default constructor.
	NakBsplineModifiedBasisDeriv1 (size_t degree)
	Constructor.
	~NakBsplineModifiedBasisDeriv1 () override
	Destructor.
Public Member Functions inherited from sgpp::base::Basis< LT, IT >
virtual	~Basis ()
	Destructor.

Protected Attributes
NakBsplineBasisDeriv1< LT, IT >	nakBsplineBasisDeriv1
	B-spline basis for B-spline evaluation.

Detailed Description

template<class LT, class IT>
class sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >

Not-a-knot B-spline basis.

Constructor & Destructor Documentation

NakBsplineModifiedBasisDeriv1() [1/2]

template<class LT , class IT >

sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::NakBsplineModifiedBasisDeriv1 ( )

inline

Default constructor.

NakBsplineModifiedBasisDeriv1() [2/2]

template<class LT , class IT >

sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::NakBsplineModifiedBasisDeriv1 ( size_t  degree )

inlineexplicit

Constructor.

Parameters

degree

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

References sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::getDegree().

~NakBsplineModifiedBasisDeriv1()

template<class LT , class IT >

sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::~NakBsplineModifiedBasisDeriv1 ( )

inlineoverride

Destructor.

Member Function Documentation

eval()

template<class LT , class IT >

double sgpp::base::NakBsplineModifiedBasisDeriv1< 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::NakBsplineModifiedBasisDeriv1< LT, IT >::getDegree(), and sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::nakBsplineBasisDeriv1.

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalGradientModNakBsplineNaive::evalGradient(), sgpp::base::OperationEvalGradientModNakBsplineNaive::evalGradient(), sgpp::base::OperationEvalHessianModNakBsplineNaive::evalHessian(), sgpp::base::OperationEvalHessianModNakBsplineNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeModNakBsplineNaive::evalPartialDerivative(), and sgpp::base::OperationEvalPartialDerivativeModNakBsplineNaive::evalPartialDerivative().

evalDx()

template<class LT , class IT >

double sgpp::base::NakBsplineModifiedBasisDeriv1< 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 wavelet basis function

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

getDegree()

template<class LT , class IT >

size_t sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::getDegree ( ) const

inlineoverridevirtual

Returns

B-spline degree

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

References sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::nakBsplineBasisDeriv1.

Referenced by sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::eval(), and sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::NakBsplineModifiedBasisDeriv1().

getIntegral()

template<class LT , class IT >

double sgpp::base::NakBsplineModifiedBasisDeriv1< 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 >.

Member Data Documentation

nakBsplineBasisDeriv1

template<class LT , class IT >

NakBsplineBasisDeriv1<LT, IT> sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::nakBsplineBasisDeriv1

protected

B-spline basis for B-spline evaluation.

Referenced by sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >::eval(), and sgpp::base::NakBsplineModifiedBasisDeriv1< 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/NakBsplineModifiedBasisDeriv1.hpp