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

weakly fundamental spline basis. More...

#include <WeaklyFundamentalSplineBasis.hpp>

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

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

Protected Attributes
size_t	degree
	degree of the spline

Detailed Description

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

weakly fundamental spline basis.

Constructor & Destructor Documentation

WeaklyFundamentalSplineBasis() [1/2]

template<class LT , class IT >

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

inline

Default constructor.

WeaklyFundamentalSplineBasis() [2/2]

template<class LT , class IT >

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

inlineexplicit

Constructor.

Parameters

degree

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

References sgpp::base::WeaklyFundamentalSplineBasis< LT, IT >::degree.

~WeaklyFundamentalSplineBasis()

template<class LT , class IT >

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

inlineoverride

Destructor.

Member Function Documentation

eval()

template<class LT , class IT >

double sgpp::base::WeaklyFundamentalSplineBasis< 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::WeaklyFundamentalSplineBasis< LT, IT >::degree.

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalWeaklyFundamentalSplineBoundaryNaive::eval(), sgpp::base::OperationEvalWeaklyFundamentalSplineBoundaryNaive::eval(), sgpp::base::OperationEvalGradientWeaklyFundamentalSplineBoundaryNaive::evalGradient(), sgpp::base::OperationEvalGradientWeaklyFundamentalSplineBoundaryNaive::evalGradient(), sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::evalHessian(), sgpp::base::OperationEvalHessianWeaklyFundamentalSplineBoundaryNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeWeaklyFundamentalSplineBoundaryNaive::evalPartialDerivative(), and sgpp::base::OperationEvalPartialDerivativeWeaklyFundamentalSplineBoundaryNaive::evalPartialDerivative().

evalDx()

template<class LT , class IT >

double sgpp::base::WeaklyFundamentalSplineBasis< 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::WeaklyFundamentalSplineBasis< LT, IT >::getDegree ( ) const

inlineoverridevirtual

Returns

Spline degree

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

References sgpp::base::WeaklyFundamentalSplineBasis< LT, IT >::degree.

getIntegral()

template<class LT , class IT >

double sgpp::base::WeaklyFundamentalSplineBasis< 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

degree

template<class LT , class IT >

size_t sgpp::base::WeaklyFundamentalSplineBasis< LT, IT >::degree

protected

degree of the spline

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

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

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