Fundamental spline basis on Noboundary grids. More...

#include <FundamentalSplineBasis.hpp>

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

Public Member Functions
double	eval (LT l, IT i, double x) override

double	evalDx (LT l, IT i, double x)

double	evalDxDx (LT l, IT i, double x)

	FundamentalSplineBasis ()
	Default constructor. More...

	FundamentalSplineBasis (size_t degree)
	Constructor. More...

size_t	getDegree () const override

double	getIntegral (LT l, IT i) override

	~FundamentalSplineBasis () override
	Destructor. More...

Public Member Functions inherited from sgpp::base::Basis< LT, IT >
virtual	~Basis ()
	Destructor. More...

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

std::vector< double >	coefficients
	B-spline coefficients. More...

DataVector	coordinates
	coordinates and weights for calculating integrals More...

bool	integrationInitialized = false

DataVector	weights

Detailed Description

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

Fundamental spline basis on Noboundary grids.

Constructor & Destructor Documentation

◆ FundamentalSplineBasis() [1/2]

template<class LT, class IT>

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

inline

Default constructor.

◆ FundamentalSplineBasis() [2/2]

template<class LT, class IT>

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

inlineexplicit

Constructor.

Parameters

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

◆ ~FundamentalSplineBasis()

template<class LT, class IT>

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

inlineoverride

Destructor.

Member Function Documentation

◆ eval()

template<class LT, class IT>

double sgpp::base::FundamentalSplineBasis< 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 fundamental spline basis function

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

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalFundamentalSplineNaive::eval(), sgpp::base::OperationEvalGradientFundamentalSplineNaive::evalGradient(), sgpp::base::OperationEvalHessianFundamentalSplineNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeFundamentalSplineNaive::evalPartialDerivative(), and sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::getIntegral().

◆ evalDx()

template<class LT, class IT>

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

inline

Parameters

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

Returns: value of derivative of fundamental spline basis function

Referenced by sgpp::base::OperationEvalGradientFundamentalSplineNaive::evalGradient(), sgpp::base::OperationEvalHessianFundamentalSplineNaive::evalHessian(), and sgpp::base::OperationEvalPartialDerivativeFundamentalSplineNaive::evalPartialDerivative().

◆ evalDxDx()

template<class LT, class IT>

double sgpp::base::FundamentalSplineBasis< LT, IT >::evalDxDx	(	LT	l,
		IT	i,
		double	x
	)

inline

Parameters

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

Returns: value of 2nd derivative of fundamental spline basis function

Referenced by sgpp::base::OperationEvalHessianFundamentalSplineNaive::evalHessian().

◆ getDegree()

template<class LT, class IT>

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

inlineoverridevirtual

Returns: fundamental spline degree

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

◆ getIntegral()

template<class LT, class IT>

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

inlineoverridevirtual

Parameters

l	level of basis function
i	index of basis function

Returns: value of the integral

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

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

Member Data Documentation

◆ bsplineBasis

template<class LT, class IT>

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

protected

B-spline basis.

Referenced by sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::eval(), sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::evalDx(), sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::evalDxDx(), sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::FundamentalSplineBasis(), sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::getDegree(), and sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::getIntegral().

◆ coefficients

template<class LT, class IT>

std::vector<double> sgpp::base::FundamentalSplineBasis< LT, IT >::coefficients

protected

B-spline coefficients.

Referenced by sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::eval(), sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::evalDx(), sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::evalDxDx(), sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::FundamentalSplineBasis(), and sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::getIntegral().

◆ coordinates

template<class LT, class IT>

DataVector sgpp::base::FundamentalSplineBasis< LT, IT >::coordinates

protected

coordinates and weights for calculating integrals

Referenced by sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::getIntegral().

◆ integrationInitialized

template<class LT, class IT>

bool sgpp::base::FundamentalSplineBasis< LT, IT >::integrationInitialized = false

protected

Referenced by sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::getIntegral().

◆ weights

template<class LT, class IT>

DataVector sgpp::base::FundamentalSplineBasis< LT, IT >::weights

protected

Referenced by sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >::getIntegral().

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

base/src/sgpp/base/operation/hash/common/basis/FundamentalSplineBasis.hpp

Public Member Functions

Protected Attributes

Detailed Description

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

Constructor & Destructor Documentation

◆ FundamentalSplineBasis() [1/2]

◆ FundamentalSplineBasis() [2/2]

◆ ~FundamentalSplineBasis()

Member Function Documentation

◆ eval()

◆ evalDx()

◆ evalDxDx()

◆ getDegree()

◆ getIntegral()

Member Data Documentation

◆ bsplineBasis

◆ coefficients

◆ coordinates

◆ integrationInitialized

◆ weights

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