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authorJoseph Hunkeler <jhunkeler@gmail.com>2015-07-08 20:46:52 -0400
committerJoseph Hunkeler <jhunkeler@gmail.com>2015-07-08 20:46:52 -0400
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+# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
+
+.help
+ Procedure iipol_terp
+
+A polynomial interpolator with x and y arrays given.
+This algorithm is based on the Newton form as described in
+de Boor's book, A Practical Guide to Splines, 1978.
+There is no error checking - this is meant to be used only by calls
+from more complete routines that take care of such things.
+
+Maximum number of terms is 6.
+.endhelp
+
+real procedure iipol_terp(x,y,n,x0)
+
+real x[ARB],y[ARB] # x and y array
+real x0 # desired x
+int n # number of points in x and y = number of
+ # terms in polynomial = order + 1
+
+int k,i
+real d[6]
+
+begin
+
+ # Fill in entries for divided difference table.
+ do i = 1,n
+ d[i] = y[i]
+
+ # Generate divided differences
+ do k = 1,n-1
+ do i = 1,n-k
+ d[i] = (d[i+1] - d[i])/(x[i+k] - x[i])
+
+ # Shift divided difference table to center on x0
+ do i = 2,n
+ d[i] = d[i] + d[i-1] * (x0 - x[i])
+
+ return(d[n])
+end