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

B-spline basis on Boundary grids. More...

#include <BsplineBoundaryBasis.hpp>

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

Public Member Functions
	BsplineBoundaryBasis ()
	Default constructor.
	BsplineBoundaryBasis (size_t degree)
	Constructor.
double	eval (LT l, IT i, double x) override
double	evalDx (LT l, IT i, double x) override
double	evalDxDx (LT l, IT i, double x)
size_t	getDegree () const override
double	getIntegral (LT l, IT i) override
	returns the integal of the current basis function
	~BsplineBoundaryBasis () 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::BsplineBoundaryBasis< LT, IT >

B-spline basis on Boundary grids.

Constructor & Destructor Documentation

BsplineBoundaryBasis() [1/2]

template<class LT , class IT >

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

inline

Default constructor.

BsplineBoundaryBasis() [2/2]

template<class LT , class IT >

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

inlineexplicit

Constructor.

Parameters

degree

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

~BsplineBoundaryBasis()

template<class LT , class IT >

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

inlineoverride

Destructor.

Member Function Documentation

eval()

template<class LT , class IT >

double sgpp::base::BsplineBoundaryBasis< 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 boundary B-spline basis function

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

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

Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalBsplineBoundaryNaive::eval(), sgpp::base::OperationEvalBsplineBoundaryNaive::eval(), sgpp::base::OperationEvalGradientBsplineBoundaryNaive::evalGradient(), sgpp::base::OperationEvalGradientBsplineBoundaryNaive::evalGradient(), sgpp::base::OperationEvalHessianBsplineBoundaryNaive::evalHessian(), sgpp::base::OperationEvalHessianBsplineBoundaryNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeBsplineBoundaryNaive::evalPartialDerivative(), sgpp::base::OperationEvalPartialDerivativeBsplineBoundaryNaive::evalPartialDerivative(), sgpp::base::OperationMultipleEvalBsplineBoundaryNaive::mult(), sgpp::pde::OperationLaplaceBsplineBoundary::mult(), and sgpp::base::OperationMultipleEvalBsplineBoundaryNaive::multTranspose().

evalDx()

template<class LT , class IT >

double sgpp::base::BsplineBoundaryBasis< 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 boundary B-spline basis function

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

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

Referenced by sgpp::base::OperationEvalGradientBsplineBoundaryNaive::evalGradient(), sgpp::base::OperationEvalGradientBsplineBoundaryNaive::evalGradient(), sgpp::base::OperationEvalHessianBsplineBoundaryNaive::evalHessian(), sgpp::base::OperationEvalHessianBsplineBoundaryNaive::evalHessian(), sgpp::base::OperationEvalPartialDerivativeBsplineBoundaryNaive::evalPartialDerivative(), sgpp::base::OperationEvalPartialDerivativeBsplineBoundaryNaive::evalPartialDerivative(), and sgpp::pde::OperationLaplaceBsplineBoundary::mult().

evalDxDx()

template<class LT , class IT >

double sgpp::base::BsplineBoundaryBasis< 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 boundary B-spline basis function

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

Referenced by sgpp::base::OperationEvalHessianBsplineBoundaryNaive::evalHessian(), and sgpp::base::OperationEvalHessianBsplineBoundaryNaive::evalHessian().

getDegree()

template<class LT , class IT >

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

inlineoverridevirtual

Returns

B-spline degree

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

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

getIntegral()

template<class LT , class IT >

double sgpp::base::BsplineBoundaryBasis< 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 >.

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

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

Member Data Documentation

bsplineBasis

template<class LT , class IT >

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

protected

B-spline basis for B-spline evaluation.

Referenced by sgpp::base::BsplineBoundaryBasis< LT, IT >::eval(), sgpp::base::BsplineBoundaryBasis< LT, IT >::evalDx(), sgpp::base::BsplineBoundaryBasis< LT, IT >::evalDxDx(), sgpp::base::BsplineBoundaryBasis< LT, IT >::getDegree(), and sgpp::base::BsplineBoundaryBasis< LT, IT >::getIntegral().

---

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

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