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author | Joseph Hunkeler <jhunkeler@gmail.com> | 2015-07-08 20:46:52 -0400 |
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committer | Joseph Hunkeler <jhunkeler@gmail.com> | 2015-07-08 20:46:52 -0400 |
commit | fa080de7afc95aa1c19a6e6fc0e0708ced2eadc4 (patch) | |
tree | bdda434976bc09c864f2e4fa6f16ba1952b1e555 /math/interp/iipol_terp.x | |
download | iraf-linux-fa080de7afc95aa1c19a6e6fc0e0708ced2eadc4.tar.gz |
Initial commit
Diffstat (limited to 'math/interp/iipol_terp.x')
-rw-r--r-- | math/interp/iipol_terp.x | 41 |
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diff --git a/math/interp/iipol_terp.x b/math/interp/iipol_terp.x new file mode 100644 index 00000000..030d1964 --- /dev/null +++ b/math/interp/iipol_terp.x @@ -0,0 +1,41 @@ +# 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 |