Polynomial interpolation
10-12-2016, 08:12 PM (This post was last modified: 11-06-2016 11:47 AM by JMB.)
Post: #1
 JMB Member Posts: 97 Joined: Jan 2016
Polynomial interpolation
This is a one-line program, to find an interpolated value using a polynomial interpolation function to a set of data points.

PHP Code:
EXPORT Polynomial_Interpolation(data,x)// data:[[x1,y1], x:value → interpolated value y//       [x2,y2]//       .......//       [xn,yn]]BEGIN  POLYEVAL(polynomial_regression(data,rowDim(data)-1),x);END;

Example 1: Find the interpolated value y at x=1.5, given the data points (0,3), (1,5) and (2,9)
Executing: Polynomial_Interpolation([[0,3],[1,5],[2,9]],1.5), we get: 6.75 (parabolic interpolation through 3 points)

Example 2: Find the interpolated value y at x=1.5, given the data points (1,5) and (2,9)
Executing: Polynomial_Interpolation([[1,5],[2,9]],1.5), we get: 7 (linear interpolation through 2 points)
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