boostmath (version 1.4.0)

cubic_hermite: Cubic Hermite Interpolator

Description

Constructs a cubic Hermite interpolator given the vectors of abscissas, ordinates, and derivatives.

Usage

cubic_hermite(x, y, dydx)

Value

An object of class cubic_hermite with methods:

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

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

• push_back(x, y, dydx): Add a new control point to the interpolator.

• domain(): Get the domain of the interpolator.

Arguments

x

Numeric vector of abscissas (x-coordinates).

y

Numeric vector of ordinates (y-coordinates).

dydx

Numeric vector of derivatives (slopes) at each point.

Examples

x <- c(0, 1, 2)
y <- c(0, 1, 0)
dydx <- c(1, 0, -1)
interpolator <- cubic_hermite(x, y, dydx)
xi <- 0.5
interpolator$interpolate(xi)
interpolator$prime(xi)
interpolator$push_back(3, 0, 1)
interpolator$domain()