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SPLINE

Creates an interpolated curve from the input points with the number of points you specified. Interpolates using the spline algorithm you specified.

Format

SPLINE (Points, Spline Type, Number of Output Points)

Arguments

 
Points
A 2xN array of points to be interpolated. The x values of the points must be in ascending order, and the length of the array must be greater than or equal to 4.
Spline Type
The spline algorithm to use for interpolation. It must be one of the following character strings:
■AKIMA = interpolates using the Akima method.
■CSPLINE = interpolates using the cubic splines.
■CUBIC = interpolates using a third-order Lagrangian polynomial.
■LINEAR = interpolates using linear interpolation.
■NOTAKNOT = interpolates using Not-a-knot cubic spline.
■HERMITE = interpolates using Hermite cubic spline.
Number of Output Points
Number of values to be generated in the output array.

Example

The following function interpolates a set of four points with ordinal values from 1 to 4 and abscissal values as shown, into a series of 10 points using the cubic spline interpolation method.
 
Function
SPLINE({[1, 2, 3, 4], [0, 2, 1, 3]}, "CSPLINE", 10)
Result
{[1.0, 1.333, 1.667, 2.0, 2.333, 2.667, 3.0, 3.333, 3.667, 4.0], [0.0, 0.963, 1.704, 2.0, 1.741, 1.259, 1.0, 1.296, 2.037, 3.0]}
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