distance_one_point: Distance between spline and spline perturbated by one point

In thomasblanchet/gpinter: Generalized Pareto Interpolation

Distance between spline and spline perturbated by one point

Description

These functions calculate the distance between:

• A first spline characterized by two points.

• A second set of two splines characterized by the same two points, plus an additional point between the first two.

They also calculate the derivative of that distance with respect to the coordinates of the additional point.

Usage

distance_one_point(
  x0,
  x1,
  y0,
  y1,
  s0,
  s1,
  a0,
  a1,
  x_new,
  y_new,
  s_new,
  a_new,
  y_ini,
  s_ini,
  a_ini
)

Arguments

x0	Lower bound of the interval.
x1	Upper bound of the interval.
y0	Value of the first spline at x0.
y1	Value of the first spline at x1.
s0	Slope of the first spline at x0.
s1	Slope of the first spline at x1.
a0	Second derivative of the first spline at x0.
a1	Second derivative of the first spline at x1.
x_new	The position of the additional point.
y_new	The value of the second spline at the additional point.
s_new	The slope of the second spline at the additional point.
a_new	The second derivative of the second spline at the additional point.
y_ini	The value of the first spline at x_new.
s_ini	The slope of the first spline at x_new.
a_ini	The second derivative of the first spline at x_new.

Author(s)

Thomas Blanchet, Juliette Fournier, Thomas Piketty

thomasblanchet/gpinter documentation built on Nov. 29, 2022, 4:32 a.m.