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

Basis class for basis functions. More...

#include <Basis.hpp>

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

Public Member Functions
virtual double	eval (LT level, IT index, double x)=0
	Evaluate the basis function with given level and index. More...
virtual size_t	getDegree () const =0
	Returns the polynomial degree of the basis. More...
virtual double	getIntegral (LT level, IT index)=0
	returns the integal of the current basis function More...
virtual	~Basis ()
	Destructor. More...

Detailed Description

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

Basis class for basis functions.

Constructor & Destructor Documentation

~Basis()

template<class LT, class IT>

virtual sgpp::base::Basis< LT, IT >::~Basis ( )

inlinevirtual

Destructor.

Member Function Documentation

eval()

template<class LT, class IT>

virtual double sgpp::base::Basis< LT, IT >::eval ( LT  level, IT  index, double  x  )

pure virtual

Evaluate the basis function 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 function.

Implemented in sgpp::base::BsplineBasis< LT, IT >, sgpp::base::BsplineBasis< unsigned int, unsigned int >, sgpp::base::BsplineModifiedBasis< LT, IT >, sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::FundamentalSplineModifiedBasis< LT, IT >, sgpp::base::FundamentalSplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::FundamentalSplineBasis< LT, IT >, sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >, sgpp::base::BsplineClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::PolyClenshawCurtisBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::BsplineModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::PolyClenshawCurtisBoundaryBasis< unsigned int, unsigned int >, sgpp::base::PolyBasis< LT, IT >, sgpp::base::PolyBasis< unsigned int, unsigned int >, sgpp::base::PolyBoundaryBasis< LT, IT >, sgpp::base::PolyBoundaryBasis< unsigned int, unsigned int >, sgpp::base::NakBsplineBoundaryCombigridBasis< LT, IT >, sgpp::base::NakBsplineBoundaryCombigridBasis< unsigned int, unsigned int >, sgpp::base::PrewaveletBasis< LT, IT >, sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::PolyModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::BsplineBoundaryBasis< LT, IT >, sgpp::base::BsplineBoundaryBasis< unsigned int, unsigned int >, sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::PolyModifiedBasis< LT, IT >, sgpp::base::LinearModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::PolyModifiedBasis< unsigned int, unsigned int >, sgpp::base::LinearClenshawCurtisBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::LinearPeriodicBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::LinearClenshawCurtisBoundaryBasis< unsigned int, unsigned int >, sgpp::base::LinearBasis< LT, IT >, sgpp::base::LinearBoundaryBasis< LT, IT >, sgpp::base::LinearModifiedBasis< LT, IT >, sgpp::base::LinearBasis< unsigned int, unsigned int >, sgpp::base::LinearBoundaryBasis< unsigned int, unsigned int >, sgpp::base::LinearModifiedBasis< unsigned int, unsigned int >, sgpp::base::WaveletBasis< LT, IT >, sgpp::base::WaveletBoundaryBasis< LT, IT >, sgpp::base::WaveletModifiedBasis< LT, IT >, sgpp::base::WaveletBasis< unsigned int, unsigned int >, sgpp::base::WaveletBoundaryBasis< unsigned int, unsigned int >, and sgpp::base::WaveletModifiedBasis< unsigned int, unsigned int >.

Referenced by sgpp::base::OperationFirstMomentBspline::doQuadrature(), sgpp::base::OperationFirstMomentBsplineBoundary::doQuadrature(), sgpp::base::OperationFirstMomentModPoly::doQuadrature(), sgpp::base::OperationSecondMomentBsplineBoundary::doQuadrature(), sgpp::base::OperationSecondMomentModBspline::doQuadrature(), sgpp::base::OperationFirstMomentModPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentModPoly::doQuadrature(), sgpp::base::OperationSecondMomentModPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentPoly::doQuadrature(), sgpp::base::OperationSecondMomentPoly::doQuadrature(), sgpp::base::OperationSecondMomentPolyBoundary::doQuadrature(), sgpp::base::OperationFirstMomentModBspline::doQuadrature(), sgpp::base::OperationFirstMomentPolyBoundary::doQuadrature(), sgpp::base::OperationSecondMomentPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentBspline::doQuadrature(), sgpp::base::OperationSecondMomentBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentModBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentModBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentPolyClenshawCurtisBoundary::doQuadrature(), sgpp::base::OperationFirstMomentPolyClenshawCurtisBoundary::doQuadrature(), sgpp::base::OperationFirstMomentBsplineClenshawCurtis::doQuadrature(), python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::pde::OperationMatrixLTwoDotPolyClenshawCurtisBoundary::mult(), sgpp::pde::OperationMatrixLTwoDotPolyClenshawCurtis::mult(), sgpp::pde::OperationMatrixLTwoDotModPolyClenshawCurtis::mult(), sgpp::pde::OperationMatrixLTwoDotPolyBoundary::mult(), sgpp::pde::OperationMatrixLTwoDotModPoly::mult(), sgpp::pde::OperationMatrixLTwoDotPoly::mult(), sgpp::pde::OperationMatrixLTwoDotBsplineBoundary::mult(), sgpp::pde::OperationMatrixLTwoDotBspline::mult(), sgpp::pde::OperationMatrixLTwoDotModBspline::mult(), sgpp::pde::OperationMatrixLTwoDotExplicitBspline::OperationMatrixLTwoDotExplicitBspline(), sgpp::pde::OperationMatrixLTwoDotExplicitBsplineBoundary::OperationMatrixLTwoDotExplicitBsplineBoundary(), sgpp::pde::OperationMatrixLTwoDotExplicitModPolyClenshawCurtis::OperationMatrixLTwoDotExplicitModPolyClenshawCurtis(), sgpp::pde::OperationMatrixLTwoDotExplicitPoly::OperationMatrixLTwoDotExplicitPoly(), sgpp::pde::OperationMatrixLTwoDotExplicitPolyBoundary::OperationMatrixLTwoDotExplicitPolyBoundary(), sgpp::pde::OperationMatrixLTwoDotExplicitPolyClenshawCurtis::OperationMatrixLTwoDotExplicitPolyClenshawCurtis(), sgpp::pde::OperationMatrixLTwoDotExplicitPolyClenshawCurtisBoundary::OperationMatrixLTwoDotExplicitPolyClenshawCurtisBoundary(), sgpp::base::PredictiveRefinementIndicator::operator()(), sgpp::base::ForwardSelectorRefinementIndicator::update(), and sgpp::base::ImpurityRefinementIndicator::update().

getDegree()

template<class LT, class IT>

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

pure virtual

Returns the polynomial degree of the basis.

Returns

polynomial degree of the basis

Implemented in sgpp::base::BsplineBasis< LT, IT >, sgpp::base::BsplineBasis< unsigned int, unsigned int >, sgpp::base::BsplineModifiedBasis< LT, IT >, sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::FundamentalSplineModifiedBasis< LT, IT >, sgpp::base::FundamentalSplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::NakBsplineBoundaryCombigridBasis< LT, IT >, sgpp::base::NakBsplineBoundaryCombigridBasis< unsigned int, unsigned int >, sgpp::base::FundamentalSplineBasis< LT, IT >, sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >, sgpp::base::BsplineClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::WaveletModifiedBasis< LT, IT >, sgpp::base::WaveletModifiedBasis< unsigned int, unsigned int >, sgpp::base::PolyModifiedBasis< LT, IT >, sgpp::base::PolyModifiedBasis< unsigned int, unsigned int >, sgpp::base::PrewaveletBasis< LT, IT >, sgpp::base::LinearStretchedBoundaryBasis< LT, IT >, sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::PolyModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::LinearModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::BsplineBoundaryBasis< LT, IT >, sgpp::base::BsplineBoundaryBasis< unsigned int, unsigned int >, sgpp::base::PolyClenshawCurtisBasis< LT, IT >, sgpp::base::WaveletBasis< LT, IT >, sgpp::base::WaveletBoundaryBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::WaveletBasis< unsigned int, unsigned int >, sgpp::base::WaveletBoundaryBasis< unsigned int, unsigned int >, sgpp::base::PolyBasis< LT, IT >, sgpp::base::PolyBasis< unsigned int, unsigned int >, sgpp::base::PolyClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBoundaryBasis< unsigned int, unsigned int >, sgpp::base::LinearBoundaryBasis< LT, IT >, sgpp::base::PolyBoundaryBasis< LT, IT >, sgpp::base::LinearBoundaryBasis< unsigned int, unsigned int >, sgpp::base::PolyBoundaryBasis< unsigned int, unsigned int >, sgpp::base::LinearPeriodicBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::LinearClenshawCurtisBoundaryBasis< unsigned int, unsigned int >, sgpp::base::LinearModifiedBasis< LT, IT >, sgpp::base::LinearModifiedBasis< unsigned int, unsigned int >, sgpp::base::LinearStretchedBasis< LT, IT >, sgpp::base::LinearBasis< LT, IT >, and sgpp::base::LinearBasis< unsigned int, unsigned int >.

Referenced by sgpp::base::OperationArbitraryBoundaryHierarchisation::OperationArbitraryBoundaryHierarchisation().

getIntegral()

template<class LT, class IT>

virtual double sgpp::base::Basis< LT, IT >::getIntegral ( LT  level, IT  index  )

pure virtual

returns the integal of the current basis function

Parameters

level	level of the basis function
index	index of the basis function

Returns

Implemented in sgpp::base::BsplineBasis< LT, IT >, sgpp::base::BsplineBasis< unsigned int, unsigned int >, sgpp::base::BsplineModifiedBasis< LT, IT >, sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::FundamentalSplineModifiedBasis< LT, IT >, sgpp::base::FundamentalSplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::NakBsplineBoundaryCombigridBasis< LT, IT >, sgpp::base::NakBsplineBoundaryCombigridBasis< unsigned int, unsigned int >, sgpp::base::FundamentalSplineBasis< LT, IT >, sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >, sgpp::base::BsplineClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::PolyClenshawCurtisBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::PolyBasis< LT, IT >, sgpp::base::PolyBasis< unsigned int, unsigned int >, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::WaveletModifiedBasis< LT, IT >, sgpp::base::WaveletModifiedBasis< unsigned int, unsigned int >, sgpp::base::LinearStretchedBoundaryBasis< LT, IT >, sgpp::base::PrewaveletBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBoundaryBasis< unsigned int, unsigned int >, sgpp::base::PolyBoundaryBasis< LT, IT >, sgpp::base::PolyBoundaryBasis< unsigned int, unsigned int >, sgpp::base::BsplineBoundaryBasis< LT, IT >, sgpp::base::BsplineBoundaryBasis< unsigned int, unsigned int >, sgpp::base::WaveletBasis< LT, IT >, sgpp::base::WaveletBoundaryBasis< LT, IT >, sgpp::base::WaveletBasis< unsigned int, unsigned int >, sgpp::base::WaveletBoundaryBasis< unsigned int, unsigned int >, sgpp::base::PolyModifiedBasis< LT, IT >, sgpp::base::PolyModifiedBasis< unsigned int, unsigned int >, sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::PolyModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::LinearModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::LinearPeriodicBasis< LT, IT >, sgpp::base::LinearBoundaryBasis< LT, IT >, sgpp::base::LinearBoundaryBasis< unsigned int, unsigned int >, sgpp::base::LinearClenshawCurtisBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::LinearClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBoundaryBasis< unsigned int, unsigned int >, sgpp::base::LinearModifiedBasis< LT, IT >, sgpp::base::LinearModifiedBasis< unsigned int, unsigned int >, sgpp::base::LinearBasis< LT, IT >, and sgpp::base::LinearBasis< unsigned int, unsigned int >.

Referenced by sgpp::base::OperationFirstMomentBspline::doQuadrature(), sgpp::base::OperationFirstMomentBsplineBoundary::doQuadrature(), sgpp::base::OperationSecondMomentPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentModBspline::doQuadrature(), sgpp::base::OperationSecondMomentPoly::doQuadrature(), sgpp::base::OperationSecondMomentModPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentPoly::doQuadrature(), sgpp::base::OperationSecondMomentModPoly::doQuadrature(), sgpp::base::OperationSecondMomentModBspline::doQuadrature(), sgpp::base::OperationFirstMomentPolyBoundary::doQuadrature(), sgpp::base::OperationSecondMomentBsplineBoundary::doQuadrature(), sgpp::base::OperationFirstMomentPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentPolyBoundary::doQuadrature(), sgpp::base::OperationFirstMomentModPoly::doQuadrature(), sgpp::base::OperationSecondMomentBspline::doQuadrature(), sgpp::base::OperationFirstMomentModPolyClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentPolyClenshawCurtisBoundary::doQuadrature(), sgpp::base::OperationSecondMomentBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationSecondMomentModBsplineClenshawCurtis::doQuadrature(), sgpp::base::OperationFirstMomentModBsplineClenshawCurtis::doQuadrature(), and sgpp::base::OperationFirstMomentPolyClenshawCurtisBoundary::doQuadrature().

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

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