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

Modified B-spline basis on Noboundary grids. More...

#include <BsplineModifiedBasis.hpp>

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

Public Member Functions
	BsplineModifiedBasis ()
	Default constructor. More...
	BsplineModifiedBasis (size_t degree)
	Constructor. More...
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)
size_t	getDegree () const override
double	getIntegral (LT l, IT i) override
double	modifiedBSpline (double x, size_t p) const
double	modifiedBSplineDx (double x, size_t p) const
double	modifiedBSplineDxDx (double x, size_t p) const
	~BsplineModifiedBasis () 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 for B-spline evaluation. More...

Detailed Description

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

Modified B-spline basis on Noboundary grids.

Constructor & Destructor Documentation

BsplineModifiedBasis() [1/2]

template<class LT, class IT>

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

inline

Default constructor.

BsplineModifiedBasis() [2/2]

template<class LT, class IT>

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

inlineexplicit

Constructor.

Parameters

degree

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

~BsplineModifiedBasis()

template<class LT, class IT>

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

inlineoverride

Destructor.

Member Function Documentation

eval()

template<class LT, class IT>

double sgpp::base::BsplineModifiedBasis< 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 modified B-spline basis function

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

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalModBsplineNaive::eval(), sgpp::base::OperationEvalGradientModBsplineNaive::evalGradient(), sgpp::base::OperationEvalHessianModBsplineNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeModBsplineNaive::evalPartialDerivative(), sgpp::base::OperationMultipleEvalModBsplineNaive::mult(), sgpp::pde::OperationLaplaceModBspline::mult(), sgpp::base::OperationMultipleEvalModBsplineNaive::multTranspose(), sgpp::pde::OperationLaplaceExplicitModBspline::OperationLaplaceExplicitModBspline(), and sgpp::pde::OperationMatrixLTwoDotExplicitModBspline::OperationMatrixLTwoDotExplicitModBspline().

evalDx()

template<class LT, class IT>

double sgpp::base::BsplineModifiedBasis< 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 modified B-spline basis function

Referenced by sgpp::base::OperationEvalGradientModBsplineNaive::evalGradient(), sgpp::base::OperationEvalHessianModBsplineNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeModBsplineNaive::evalPartialDerivative(), sgpp::pde::OperationLaplaceModBspline::mult(), and sgpp::pde::OperationLaplaceExplicitModBspline::OperationLaplaceExplicitModBspline().

evalDxDx()

template<class LT, class IT>

double sgpp::base::BsplineModifiedBasis< 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 modified B-spline basis function

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

getDegree()

template<class LT, class IT>

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

inlineoverridevirtual

Returns

B-spline degree

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

getIntegral()

template<class LT, class IT>

double sgpp::base::BsplineModifiedBasis< 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::OperationQuadratureModBspline::doQuadrature().

modifiedBSpline()

template<class LT, class IT>

double sgpp::base::BsplineModifiedBasis< LT, IT >::modifiedBSpline ( double  x, size_t  p  ) const

inline

Parameters

x	evaluation point
p	B-spline degree

Returns

value of modified uniform B-spline (e.g. index == 1)

Referenced by sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::eval().

modifiedBSplineDx()

template<class LT, class IT>

double sgpp::base::BsplineModifiedBasis< LT, IT >::modifiedBSplineDx ( double  x, size_t  p  ) const

inline

Parameters

x	evaluation point
p	B-spline degree

Returns

value of derivative of modified uniform B-spline (e.g. index == 1)

Referenced by sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::evalDx().

modifiedBSplineDxDx()

template<class LT, class IT>

double sgpp::base::BsplineModifiedBasis< LT, IT >::modifiedBSplineDxDx ( double  x, size_t  p  ) const

inline

Parameters

x	evaluation point
p	B-spline degree

Returns

value of 2nd derivative of modified uniform B-spline (e.g. index == 1)

Referenced by sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::evalDxDx().

Member Data Documentation

bsplineBasis

template<class LT, class IT>

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

protected

B-spline basis for B-spline evaluation.

Referenced by sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::eval(), sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::evalDx(), sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::evalDxDx(), sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::getDegree(), sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::getIntegral(), sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::modifiedBSpline(), sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::modifiedBSplineDx(), and sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >::modifiedBSplineDxDx().

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

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