       weird interpolation issues

• To: mathgroup at smc.vnet.net
• Subject: [mg96602] weird interpolation issues
• From: "Ned Lieb" <okty.gy.ned at gmail.com>
• Date: Tue, 17 Feb 2009 06:24:19 -0500 (EST)

```Hello

I'm new to Mathematica and unfortunately am having some issues. I'm trying
to construct a program to create an approximate symbolic function from a
very large list of data points (6900 points, each with five associated
variables). Mathematica is fritzing in two areas: first (this is probably
trivial to fix), parallelization doesn't initialize; second, the lists of
variables I'm extracting from my data table aren't being recognized as data
points Mathematica can interpolate between. I've copied the plaintext of my
source-code with comments explaining what each function is meant to do
below.

Thanks,

Edward Lieb

This is the Function I use to import my table. This seems to work correctly:
I get a list of numbers which matches my data

q[]=Import["C:\wfout2_k1_b1_s1_in.dat","FieldSeperators"->"
","LineSeperators"->"/[NewLine]" ,"RepeatedSeperators"->"True"]

This is a function I use to switch rows and columns, so that I have five
lists of values coresponsing to my variables instead of a list of ~60000
points each carrying five values

w[q]:=Transpose[q];

This defines the last two variables as the real and complex values of the
function I'm trying to create by interpolation

wf[r_,c_]:=r+I*c;

This is supposed to interpolate my imported values into a function

DistributeDefinitions[w,wf,\[Psi],q];

\[Psi][x_,y_,z_,r_,c_]:=Interpolation[{x,y,z},Abs[wf[r,c]],{x,{w[]}},{y,{
w[]}},{z,{w[]}},{r,{w[]}},{c,{w[]}}];

This is supposed to make a graph of the function I made
above with the function's values being shown by contour density

ContourPlot3D[\[Psi],{x,0,20},{y,0,20},{z,0,20}]

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```

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