ChebyshevInterpolation Class Reference

#include <ql/math/interpolations/chebyshevinterpolation.hpp>

Inheritance diagram for ChebyshevInterpolation:

Collaboration diagram for ChebyshevInterpolation:

Public Types
enum	PointsType { FirstKind , SecondKind }

Public Member Functions
	ChebyshevInterpolation (const Array &y, PointsType pointsType=SecondKind)
	ChebyshevInterpolation (Size n, const ext::function< Real(Real)> &f, PointsType pointsType=SecondKind)
void	updateY (const Array &y)
Array	nodes () const
Public Member Functions inherited from Interpolation
	Interpolation ()=default
	~Interpolation () override=default
bool	empty () const
Real	operator() (Real x, bool allowExtrapolation=false) const
Real	primitive (Real x, bool allowExtrapolation=false) const
Real	derivative (Real x, bool allowExtrapolation=false) const
Real	secondDerivative (Real x, bool allowExtrapolation=false) const
Real	xMin () const
Real	xMax () const
bool	isInRange (Real x) const
void	update ()
Public Member Functions inherited from Extrapolator
	Extrapolator ()=default
virtual	~Extrapolator ()=default
void	enableExtrapolation (bool b=true)
	enable extrapolation in subsequent calls More...
void	disableExtrapolation (bool b=true)
	disable extrapolation in subsequent calls More...
bool	allowsExtrapolation () const
	tells whether extrapolation is enabled More...

Static Public Member Functions
static Array	nodes (Size n, PointsType pointsType)

Private Attributes
const Array	x_
Array	y_
ext::shared_ptr< LagrangeInterpolation >	lagrangeInterp_

Additional Inherited Members
Public Attributes inherited from Interpolation
QL_DEPRECATED typedef Real	argument_type
QL_DEPRECATED typedef Real	result_type
Protected Member Functions inherited from Interpolation
void	checkRange (Real x, bool extrapolate) const
Protected Attributes inherited from Interpolation
ext::shared_ptr< Impl >	impl_

Detailed Description

References: S.A. Sarra: Chebyshev Interpolation: An Interactive Tour, https://www.maa.org/sites/default/files/images/upload_library/4/vol6/Sarra/Chebyshev.html

Definition at line 40 of file chebyshevinterpolation.hpp.

Member Enumeration Documentation

PointsType

enum PointsType

Enumerator
FirstKind
SecondKind

Definition at line 42 of file chebyshevinterpolation.hpp.

Constructor & Destructor Documentation

ChebyshevInterpolation() [1/2]

ChebyshevInterpolation ( const Array &  y, PointsType  pointsType = SecondKind  )

explicit

Definition at line 33 of file chebyshevinterpolation.cpp.

ChebyshevInterpolation() [2/2]

ChebyshevInterpolation	(	Size	n,
		const ext::function< Real(Real)> &	f,
		PointsType	pointsType = SecondKind
	)

Definition at line 45 of file chebyshevinterpolation.cpp.

Member Function Documentation

updateY()

void updateY

(

const Array &

y

)

Definition at line 76 of file chebyshevinterpolation.cpp.

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nodes() [1/2]

Array nodes

(

)

const

Definition at line 54 of file chebyshevinterpolation.cpp.

nodes() [2/2]

Array nodes ( Size  n, PointsType  pointsType  )

static

Definition at line 58 of file chebyshevinterpolation.cpp.

Member Data Documentation

x_

const Array x_

private

Definition at line 56 of file chebyshevinterpolation.hpp.

y_

Array y_

private

Definition at line 57 of file chebyshevinterpolation.hpp.

lagrangeInterp_

ext::shared_ptr<LagrangeInterpolation> lagrangeInterp_

private

Definition at line 58 of file chebyshevinterpolation.hpp.