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Re: Bug in Interpolation for multi-d data?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg86188] Re: Bug in Interpolation for multi-d data?
  • From: Antti Penttilä@smc.vnet.net
  • Date: Wed, 5 Mar 2008 03:40:17 -0500 (EST)
  • Organization: University of Helsinki
  • References: <fq8r74$jf4$1@smc.vnet.net> <fqb863$moo$1@smc.vnet.net> <fqetcl$jj6$1@smc.vnet.net> <fqghfg$f53$1@smc.vnet.net>

Antti Penttil=E4 wrote:
>
> It is a bug in at least 6.0.0 and 6.0.1. I hope that it is fixed in
> 6.0.2, since Wolfram knows about this.

I confirm that it seems to be corrected in V6.0.2.

You can test the bug with e.g. following code where 3D interpolation is
made for ordered and non-onredered lists and 2D plots are drawn. In
6.0.1, the latter plot produces wrong result.

t = Flatten[
    Table[ {i, j, i (j + RandomReal[{-2, 2}])}, {i, 10}, {j, 10}], 1];
int1 = Interpolation[ t]
Show[
  Plot[ int1[ x, 5], {x, 1, 10}],
  ListPlot[ Cases[t, x_ /; x[[2]] == 5][[All, {1, 3}]]]
]

t1 = t[[RandomSample[ Range[Length[ t]]]]];
int2 = Interpolation[ t1]
Show[
  Plot[ int2[ x, 5], {x, 1, 10}],
  ListPlot[ Cases[t1, x_ /; x[[2]] == 5][[All, {1, 3}]]]
]

Antti


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