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Public Member Functions | List of all members
sgpp::base::Basis< LT, IT > Class Template Referenceabstract

Basis class for basis functions. More...

#include <Basis.hpp>

Inheritance diagram for sgpp::base::Basis< LT, IT >:
sgpp::base::BsplineBasis< unsigned int, unsigned int > sgpp::base::BsplineBoundaryBasis< unsigned int, unsigned int > sgpp::base::BsplineClenshawCurtisBasis< unsigned int, unsigned int > sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int > sgpp::base::BsplineModifiedClenshawCurtisBasis< unsigned int, unsigned int > sgpp::base::FundamentalNakSplineBasis< unsigned int, unsigned int > sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int > sgpp::base::FundamentalSplineModifiedBasis< unsigned int, unsigned int > sgpp::base::LinearBasis< unsigned int, unsigned int > sgpp::base::LinearBoundaryBasis< unsigned int, unsigned int > sgpp::base::LinearClenshawCurtisBasis< unsigned int, unsigned int > sgpp::base::LinearClenshawCurtisBoundaryBasis< unsigned int, unsigned int > sgpp::base::LinearModifiedBasis< unsigned int, unsigned int > sgpp::base::LinearModifiedClenshawCurtisBasis< unsigned int, unsigned int > sgpp::base::NakBsplineBasis< unsigned int, unsigned int > sgpp::base::NakBsplineBasisDeriv1< unsigned int, unsigned int > sgpp::base::NakBsplineBasisDeriv2< unsigned int, unsigned int > sgpp::base::NakBsplineBoundaryBasis< unsigned int, unsigned int > sgpp::base::NakBsplineExtendedBasis< unsigned int, unsigned int > sgpp::base::NakBsplineModifiedBasis< unsigned int, unsigned int > sgpp::base::NakBsplineModifiedBasisDeriv1< unsigned int, unsigned int > sgpp::base::NakBsplineModifiedBasisDeriv2< unsigned int, unsigned int > sgpp::base::NakPBsplineBasis< unsigned int, unsigned int > sgpp::base::NaturalBsplineBasis< unsigned int, unsigned int > sgpp::base::PolyBasis< unsigned int, unsigned int > sgpp::base::PolyBoundaryBasis< unsigned int, unsigned int > sgpp::base::PolyClenshawCurtisBasis< unsigned int, unsigned int > sgpp::base::PolyClenshawCurtisBoundaryBasis< unsigned int, unsigned int > sgpp::base::PolyModifiedBasis< unsigned int, unsigned int > sgpp::base::PolyModifiedClenshawCurtisBasis< unsigned int, unsigned int > sgpp::base::WaveletBasis< unsigned int, unsigned int > sgpp::base::WaveletBoundaryBasis< unsigned int, unsigned int > sgpp::base::WaveletModifiedBasis< unsigned int, unsigned int > sgpp::base::WeaklyFundamentalNakSplineBasis< unsigned int, unsigned int > sgpp::base::WeaklyFundamentalNakSplineBasisDeriv1< unsigned int, unsigned int > sgpp::base::WeaklyFundamentalNakSplineBasisDeriv2< unsigned int, unsigned int > sgpp::base::WeaklyFundamentalNakSplineModifiedBasis< unsigned int, unsigned int > sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv1< unsigned int, unsigned int > sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv2< unsigned int, unsigned int > sgpp::base::WeaklyFundamentalSplineBasis< unsigned int, unsigned int > sgpp::base::WeaklyFundamentalSplineBasisDeriv1< unsigned int, unsigned int > sgpp::base::WeaklyFundamentalSplineBasisDeriv2< unsigned int, unsigned int > sgpp::base::BsplineBasis< LT, IT > sgpp::base::BsplineBoundaryBasis< LT, IT > sgpp::base::BsplineClenshawCurtisBasis< LT, IT > sgpp::base::BsplineModifiedBasis< LT, IT > sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT > sgpp::base::FundamentalNakSplineBasis< LT, IT > sgpp::base::FundamentalSplineBasis< LT, IT > sgpp::base::FundamentalSplineModifiedBasis< LT, IT > sgpp::base::LinearBasis< LT, IT > sgpp::base::LinearBoundaryBasis< LT, IT > sgpp::base::LinearClenshawCurtisBasis< LT, IT > sgpp::base::LinearClenshawCurtisBoundaryBasis< LT, IT > sgpp::base::LinearModifiedBasis< LT, IT > sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT > sgpp::base::LinearPeriodicBasis< LT, IT > sgpp::base::NakBsplineBasis< LT, IT > sgpp::base::NakBsplineBasisDeriv1< LT, IT > sgpp::base::NakBsplineBasisDeriv2< LT, IT > sgpp::base::NakBsplineBoundaryBasis< LT, IT > sgpp::base::NakBsplineExtendedBasis< LT, IT > sgpp::base::NakBsplineModifiedBasis< LT, IT > sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT > sgpp::base::NakBsplineModifiedBasisDeriv2< LT, IT > sgpp::base::NakPBsplineBasis< LT, IT > sgpp::base::NaturalBsplineBasis< LT, IT > sgpp::base::PolyBasis< LT, IT > sgpp::base::PolyBoundaryBasis< LT, IT > sgpp::base::PolyClenshawCurtisBasis< LT, IT > sgpp::base::PolyClenshawCurtisBoundaryBasis< LT, IT > sgpp::base::PolyModifiedBasis< LT, IT > sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT > sgpp::base::PrewaveletBasis< LT, IT > sgpp::base::WaveletBasis< LT, IT > sgpp::base::WaveletBoundaryBasis< LT, IT > sgpp::base::WaveletModifiedBasis< LT, IT > sgpp::base::WeaklyFundamentalNakSplineBasis< LT, IT > sgpp::base::WeaklyFundamentalNakSplineBasisDeriv1< LT, IT > sgpp::base::WeaklyFundamentalNakSplineBasisDeriv2< LT, IT > sgpp::base::WeaklyFundamentalNakSplineModifiedBasis< LT, IT > sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv1< LT, IT > sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv2< LT, IT > sgpp::base::WeaklyFundamentalSplineBasis< LT, IT > sgpp::base::WeaklyFundamentalSplineBasisDeriv1< LT, IT > sgpp::base::WeaklyFundamentalSplineBasisDeriv2< LT, IT >

Public Member Functions

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

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
levellevel of the basis function
indexindex of the basis function
xevaluation point
Returns
value of the basis function.

Implemented in sgpp::base::BsplineBasis< LT, IT >, sgpp::base::BsplineBoundaryBasis< LT, IT >, sgpp::base::BsplineClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineModifiedBasis< LT, IT >, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::FundamentalNakSplineBasis< LT, IT >, sgpp::base::FundamentalSplineBasis< LT, IT >, sgpp::base::FundamentalSplineModifiedBasis< LT, IT >, sgpp::base::LinearBasis< LT, IT >, sgpp::base::LinearBoundaryBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::LinearModifiedBasis< LT, IT >, sgpp::base::LinearPeriodicBasis< LT, IT >, sgpp::base::NakBsplineBasis< LT, IT >, sgpp::base::NakBsplineBasisDeriv1< LT, IT >, sgpp::base::NakBsplineBasisDeriv2< LT, IT >, sgpp::base::NakBsplineBoundaryBasis< LT, IT >, sgpp::base::NakBsplineExtendedBasis< LT, IT >, sgpp::base::NakBsplineModifiedBasis< LT, IT >, sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >, sgpp::base::NakBsplineModifiedBasisDeriv2< LT, IT >, sgpp::base::NakPBsplineBasis< LT, IT >, sgpp::base::NaturalBsplineBasis< LT, IT >, sgpp::base::WaveletBasis< LT, IT >, sgpp::base::WaveletBoundaryBasis< LT, IT >, sgpp::base::WaveletModifiedBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv2< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv2< LT, IT >, sgpp::base::WeaklyFundamentalSplineBasis< LT, IT >, sgpp::base::WeaklyFundamentalSplineBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalSplineBasisDeriv2< LT, IT >, sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::PolyBasis< LT, IT >, sgpp::base::PolyBoundaryBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::PolyModifiedBasis< LT, IT >, sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT >, and sgpp::base::PrewaveletBasis< LT, IT >.

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

◆ evalDx()

template<class LT , class IT >
virtual double sgpp::base::Basis< LT, IT >::evalDx ( LT  level,
IT  index,
double  x 
)
pure virtual

Evaluate the basis functions derivative with given level and index.

Parameters
levellevel of the basis function
indexindex of the basis function
xevaluation point
Returns
value of the basis functions derivative.

Implemented in sgpp::base::BsplineBasis< LT, IT >, sgpp::base::BsplineBoundaryBasis< LT, IT >, sgpp::base::BsplineClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineModifiedBasis< LT, IT >, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::FundamentalNakSplineBasis< LT, IT >, sgpp::base::FundamentalSplineBasis< LT, IT >, sgpp::base::FundamentalSplineModifiedBasis< LT, IT >, sgpp::base::NakBsplineBasis< LT, IT >, sgpp::base::NakBsplineBoundaryBasis< LT, IT >, sgpp::base::NakBsplineExtendedBasis< LT, IT >, sgpp::base::NakBsplineModifiedBasis< LT, IT >, sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >, sgpp::base::NakBsplineModifiedBasisDeriv2< LT, IT >, sgpp::base::NakPBsplineBasis< LT, IT >, sgpp::base::WaveletBasis< LT, IT >, sgpp::base::WaveletBoundaryBasis< LT, IT >, sgpp::base::WaveletModifiedBasis< LT, IT >, sgpp::base::LinearBasis< LT, IT >, sgpp::base::LinearBoundaryBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::LinearModifiedBasis< LT, IT >, sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::LinearPeriodicBasis< LT, IT >, sgpp::base::LinearStretchedBasis< LT, IT >, sgpp::base::LinearStretchedBoundaryBasis< LT, IT >, sgpp::base::NakBsplineBasisDeriv1< LT, IT >, sgpp::base::NakBsplineBasisDeriv2< LT, IT >, sgpp::base::NaturalBsplineBasis< LT, IT >, sgpp::base::PolyBasis< LT, IT >, sgpp::base::PolyBoundaryBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::PolyModifiedBasis< LT, IT >, sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::PrewaveletBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv2< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv2< LT, IT >, sgpp::base::WeaklyFundamentalSplineBasis< LT, IT >, sgpp::base::WeaklyFundamentalSplineBasisDeriv1< LT, IT >, and sgpp::base::WeaklyFundamentalSplineBasisDeriv2< LT, IT >.

◆ 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::BsplineBoundaryBasis< LT, IT >, sgpp::base::BsplineBoundaryBasis< unsigned int, unsigned int >, sgpp::base::BsplineClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::BsplineModifiedBasis< LT, IT >, sgpp::base::BsplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::FundamentalNakSplineBasis< LT, IT >, sgpp::base::FundamentalNakSplineBasis< unsigned int, unsigned int >, sgpp::base::FundamentalSplineBasis< LT, IT >, sgpp::base::FundamentalSplineBasis< unsigned int, unsigned int >, sgpp::base::FundamentalSplineModifiedBasis< LT, IT >, sgpp::base::FundamentalSplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::LinearBasis< LT, IT >, sgpp::base::LinearBasis< unsigned int, unsigned int >, 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::LinearModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::LinearModifiedClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::LinearPeriodicBasis< LT, IT >, sgpp::base::LinearStretchedBasis< LT, IT >, sgpp::base::LinearStretchedBoundaryBasis< LT, IT >, sgpp::base::NakBsplineBasis< LT, IT >, sgpp::base::NakBsplineBasis< unsigned int, unsigned int >, sgpp::base::NakBsplineBasisDeriv1< LT, IT >, sgpp::base::NakBsplineBasisDeriv1< unsigned int, unsigned int >, sgpp::base::NakBsplineBasisDeriv2< LT, IT >, sgpp::base::NakBsplineBasisDeriv2< unsigned int, unsigned int >, sgpp::base::NakBsplineBoundaryBasis< LT, IT >, sgpp::base::NakBsplineBoundaryBasis< unsigned int, unsigned int >, sgpp::base::NakBsplineExtendedBasis< LT, IT >, sgpp::base::NakBsplineExtendedBasis< unsigned int, unsigned int >, sgpp::base::NakBsplineModifiedBasis< LT, IT >, sgpp::base::NakBsplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >, sgpp::base::NakBsplineModifiedBasisDeriv1< unsigned int, unsigned int >, sgpp::base::NakBsplineModifiedBasisDeriv2< LT, IT >, sgpp::base::NakBsplineModifiedBasisDeriv2< unsigned int, unsigned int >, sgpp::base::NakPBsplineBasis< LT, IT >, sgpp::base::NakPBsplineBasis< unsigned int, unsigned int >, sgpp::base::NaturalBsplineBasis< LT, IT >, sgpp::base::NaturalBsplineBasis< 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::PolyClenshawCurtisBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBasis< unsigned int, unsigned int >, sgpp::base::PolyClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBoundaryBasis< 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::PrewaveletBasis< LT, IT >, sgpp::base::WaveletBasis< LT, IT >, sgpp::base::WaveletBasis< unsigned int, unsigned int >, sgpp::base::WaveletBoundaryBasis< LT, IT >, sgpp::base::WaveletBoundaryBasis< unsigned int, unsigned int >, sgpp::base::WaveletModifiedBasis< LT, IT >, sgpp::base::WaveletModifiedBasis< unsigned int, unsigned int >, sgpp::base::WeaklyFundamentalNakSplineBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasis< unsigned int, unsigned int >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv1< unsigned int, unsigned int >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv2< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv2< unsigned int, unsigned int >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasis< unsigned int, unsigned int >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv1< unsigned int, unsigned int >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv2< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv2< unsigned int, unsigned int >, sgpp::base::WeaklyFundamentalSplineBasis< LT, IT >, sgpp::base::WeaklyFundamentalSplineBasis< unsigned int, unsigned int >, sgpp::base::WeaklyFundamentalSplineBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalSplineBasisDeriv1< unsigned int, unsigned int >, sgpp::base::WeaklyFundamentalSplineBasisDeriv2< LT, IT >, and sgpp::base::WeaklyFundamentalSplineBasisDeriv2< unsigned int, unsigned int >.

◆ 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
levellevel of the basis function
indexindex of the basis function
Returns

Implemented in sgpp::base::BsplineBoundaryBasis< LT, IT >, sgpp::base::BsplineClenshawCurtisBasis< LT, IT >, sgpp::base::BsplineModifiedBasis< LT, IT >, sgpp::base::BsplineModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::FundamentalSplineBasis< LT, IT >, sgpp::base::FundamentalSplineModifiedBasis< LT, IT >, sgpp::base::NakBsplineBasis< LT, IT >, sgpp::base::NakBsplineBoundaryBasis< LT, IT >, sgpp::base::NakBsplineExtendedBasis< LT, IT >, sgpp::base::NakPBsplineBasis< LT, IT >, sgpp::base::BsplineBasis< LT, IT >, sgpp::base::FundamentalNakSplineBasis< LT, IT >, sgpp::base::LinearBasis< LT, IT >, sgpp::base::LinearBoundaryBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBasis< LT, IT >, sgpp::base::LinearClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::LinearModifiedBasis< LT, IT >, sgpp::base::LinearModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::LinearPeriodicBasis< LT, IT >, sgpp::base::LinearStretchedBoundaryBasis< LT, IT >, sgpp::base::NakBsplineBasisDeriv1< LT, IT >, sgpp::base::NakBsplineBasisDeriv2< LT, IT >, sgpp::base::NakBsplineModifiedBasis< LT, IT >, sgpp::base::NakBsplineModifiedBasisDeriv1< LT, IT >, sgpp::base::NakBsplineModifiedBasisDeriv2< LT, IT >, sgpp::base::NaturalBsplineBasis< LT, IT >, sgpp::base::PolyBasis< LT, IT >, sgpp::base::PolyBoundaryBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBasis< LT, IT >, sgpp::base::PolyClenshawCurtisBoundaryBasis< LT, IT >, sgpp::base::PolyModifiedBasis< LT, IT >, sgpp::base::PolyModifiedClenshawCurtisBasis< LT, IT >, sgpp::base::PrewaveletBasis< LT, IT >, sgpp::base::WaveletBasis< LT, IT >, sgpp::base::WaveletBoundaryBasis< LT, IT >, sgpp::base::WaveletModifiedBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineBasisDeriv2< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasis< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv1< LT, IT >, sgpp::base::WeaklyFundamentalNakSplineModifiedBasisDeriv2< LT, IT >, sgpp::base::WeaklyFundamentalSplineBasis< LT, IT >, sgpp::base::WeaklyFundamentalSplineBasisDeriv1< LT, IT >, and sgpp::base::WeaklyFundamentalSplineBasisDeriv2< LT, IT >.

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

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