boostmath (version 1.4.0)

barycentric_rational: Barycentric Rational Interpolation

Description

Constructs a barycentric rational interpolator given data points.

Usage

barycentric_rational(x, y, order = 3)

Value

An object of class barycentric_rational_interpolator with methods:

• interpolate(xi): Evaluate the interpolator at point xi.

• prime(xi): Evaluate the derivative of the interpolator at point xi.

Arguments

x

Numeric vector of data points (abscissas).

y

Numeric vector of data values (ordinates).

order

Integer representing the approximation order of the interpolator, defaults to 3.

Examples

x <- c(0, 1, 2, 3)
y <- c(1, 2, 0, 2)
order <- 3
interpolator <- barycentric_rational(x, y, order)
xi <- 1.5
interpolator$interpolate(xi)
interpolator$prime(xi)