Lagrange< Real > Class Template Reference

#include <Lagrange.hpp>

Public Member Functions
	Lagrange (const std::vector< Real > &xin, const std::vector< Real > &xev)
	Interpolation object which interpolates from to the grid xin to xev. More...
	~Lagrange ()
void	interp (const std::vector< Real > &f, std::vector< Real > &p)
	Given the values of a function on the interpolation points xin, stored in f, evaluate the interpolating polynomial on the evaluation points xev. More...
void	dinterp (const std::vector< Real > &f, std::vector< Real > &p)
void	interpolant (const int k, std::vector< Real > &l)
	Evaluate the kth interpolant on the evaluation points. More...
void	derivative (const int k, std::vector< Real > &d)
	Derivative of the \(k\)th interpolant on the interpolation points. More...
void	bi_sum (const std::vector< Real > &f, std::vector< Real > &y)
	This routine evaluates sums of the form shown in equation (4.2) in the paper by J-P Berrut and L.N. Trefethen. More...

Private Attributes
const std::vector< Real >	xin_
const std::vector< Real >	xev_
const int	nin_
const int	nev_
std::vector< Real >	w_
std::vector< Real >	ell_
std::vector< Real >	D_

Detailed Description

template<class Real>
class Lagrange< Real >

Definition at line 16 of file Lagrange.hpp.

Constructor & Destructor Documentation

template<class Real >

Lagrange< Real >::Lagrange	(	const std::vector< Real > &	xin,
		const std::vector< Real > &	xev
	)

Interpolation object which interpolates from to the grid xin to xev.

Parameters

[in]	xin	vector of interpolation points
[in]	xev	vector of evaluation points

Definition at line 66 of file Lagrange.hpp.

References Lagrange< Real >::bi_sum(), Lagrange< Real >::D_, Lagrange< Real >::ell_, Lagrange< Real >::nev_, Lagrange< Real >::nin_, Lagrange< Real >::w_, and Lagrange< Real >::xin_.

template<class Real >

Lagrange< Real >::~Lagrange

(

)

Definition at line 124 of file Lagrange.hpp.

Member Function Documentation

template<class Real >

void Lagrange< Real >::interp	(	const std::vector< Real > &	f,
		std::vector< Real > &	p
	)

Given the values of a function on the interpolation points xin, stored in f, evaluate the interpolating polynomial on the evaluation points xev.

Parameters

[in]	f	vector of function values sampled at xin
[out]	y	vector of interpolating polynomial values evaluated ay xev

Definition at line 156 of file Lagrange.hpp.

template<class Real >

void Lagrange< Real >::dinterp	(	const std::vector< Real > &	f,
		std::vector< Real > &	p
	)

Definition at line 166 of file Lagrange.hpp.

template<class Real >

void Lagrange< Real >::interpolant	(	const int	k,
		std::vector< Real > &	l
	)

Evaluate the kth interpolant on the evaluation points.

Parameters

[in]	k	vector of function values sampled at xin
[out]	y	vector of interpolating polynomial values evaluated ay xev

Definition at line 185 of file Lagrange.hpp.

template<class Real >

void Lagrange< Real >::derivative	(	const int	k,
		std::vector< Real > &	d
	)

Derivative of the \(k\)th interpolant on the interpolation points.

Definition at line 200 of file Lagrange.hpp.

References D_.

template<class Real >

void Lagrange< Real >::bi_sum	(	const std::vector< Real > &	f,
		std::vector< Real > &	y
	)

This routine evaluates sums of the form shown in equation (4.2) in the paper by J-P Berrut and L.N. Trefethen.

Parameters

[in]	f	vector of values appearing in the sum
[out]	y	the result

Definition at line 131 of file Lagrange.hpp.

Referenced by Lagrange< Real >::Lagrange().

Member Data Documentation

template<class Real >

const std::vector<Real> Lagrange< Real >::xin_

private

Parameters

xin_	Vector of interpolation points

Definition at line 39 of file Lagrange.hpp.

Referenced by Lagrange< Real >::Lagrange().

template<class Real >

const std::vector<Real> Lagrange< Real >::xev_

private

Definition at line 42 of file Lagrange.hpp.

template<class Real >

const int Lagrange< Real >::nin_

private

Definition at line 45 of file Lagrange.hpp.

Referenced by Lagrange< Real >::Lagrange().

template<class Real >

const int Lagrange< Real >::nev_

private

Definition at line 48 of file Lagrange.hpp.

Referenced by Lagrange< Real >::Lagrange().

template<class Real >

std::vector<Real> Lagrange< Real >::w_

private

Definition at line 51 of file Lagrange.hpp.

Referenced by Lagrange< Real >::Lagrange().

template<class Real >

std::vector<Real> Lagrange< Real >::ell_

private

Definition at line 54 of file Lagrange.hpp.

Referenced by Lagrange< Real >::Lagrange().

template<class Real >

std::vector<Real> Lagrange< Real >::D_

private

Definition at line 57 of file Lagrange.hpp.

Referenced by Lagrange< Real >::Lagrange().

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

• Lagrange.hpp