boostmath (version 1.4.0)

quintic_hermite: Quintic Hermite Interpolator

Description

Constructs a quintic Hermite interpolator given the vectors of abscissas, ordinates, first derivatives, and second derivatives.

Usage

quintic_hermite(x, y, dydx, d2ydx2)

Value

An object of class quintic_hermite with methods:

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

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

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

• push_back(x, y, dydx, d2ydx2): 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 first derivatives (slopes) at each point.

d2ydx2

Numeric vector of second derivatives at each point.

Examples

x <- c(0, 1, 2)
y <- c(0, 1, 0)
dydx <- c(1, 0, -1)
d2ydx2 <- c(0, -1, 0)
interpolator <- quintic_hermite(x, y, dydx, d2ydx2)
xi <- 0.5
interpolator$interpolate(xi)
interpolator$prime(xi)
interpolator$double_prime(xi)
interpolator$push_back(3, 0, 1, 0)
interpolator$domain()