Barycentric Class Reference

Barycentric rational interpolation (Floater-Hormann) of data \((x_i, y_i)\). More...

#include <interpolation.hh>

Public Member Functions
	Barycentric (std::vector< double > &x, std::vector< double > &y, uint order=1, bool copy=true)
	Interpolate the data \((x_i, y_i)\).
	Barycentric (const std::vector< double > &x, const std::vector< double > &y, uint order=1)
	Interpolate the data \((x_i, y_i)\); see the other constructor.
	Barycentric ()
	An empty interpolator; must be assigned before it is evaluated.
double	operator() (double x) const
	The interpolant at x.
double	value (double x) const
	The interpolant at x.
double	derivative (double x) const
	The derivative of the interpolant at x.

Detailed Description

Barycentric rational interpolation (Floater-Hormann) of data \((x_i, y_i)\).

Works on unevenly spaced \(x_i\) and has no spurious poles. Outside \([\min x_i, \max x_i]\) the rational function is extrapolated, not clamped. Uses boost::math::interpolators::barycentric_rational.

Constructor & Destructor Documentation

Barycentric() [1/3]

Barycentric	(	std::vector< double > &	x,
		std::vector< double > &	y,
		uint	order = 1,
		bool	copy = true )

Interpolate the data \((x_i, y_i)\).

Parameters

x	the nodes \(x_i\), distinct.
y	the values \(y_i\), same length as x.
order	the approximation order \(d\) of the Floater-Hormann scheme ( \(0 \leq d < \) number of points); higher is smoother but less robust.
copy	if false, x and y are moved into the interpolator and left empty.

Barycentric() [2/3]

Barycentric	(	const std::vector< double > &	x,
		const std::vector< double > &	y,
		uint	order = 1 )

Interpolate the data \((x_i, y_i)\); see the other constructor.

Barycentric() [3/3]

Barycentric

(

)

An empty interpolator; must be assigned before it is evaluated.

Member Function Documentation

derivative()

double derivative

(

double

x

)

const

The derivative of the interpolant at x.

operator()()

double operator()

(

double

x

)

const

The interpolant at x.

value()

double value

(

double

x

)

const

The interpolant at x.

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

• /home/runner/work/DiFfRG/DiFfRG/DiFfRG/include/DiFfRG/common/interpolation.hh