Re: Mathematica 6.0 Desperation
- To: mathgroup at smc.vnet.net
- Subject: [mg83675] Re: Mathematica 6.0 Desperation
- From: Szabolcs Horvát <szhorvat at gmail.com>
- Date: Wed, 28 Nov 2007 05:28:59 -0500 (EST)
- References: <figtq9$fa7$1@smc.vnet.net>
Jesus M. Goiri wrote:
> Dear Sirs
>
> I have tried some items that seem to hang Mathematica 6.0. However
> they work perfectly fine in the 5.2 version. I have tried to
> discover the flaw and I have not been able to do so. The problem
> pertains at some code I extracted from a book about Mathematica
> applications by Boccara, particularly the examples that relate to
> fractals, Julia and Mandelbrot Sets.
>
> I have below the lines of code. I you try them, I'd wish to see if
> you are able to make them work.
>
> Yours sincerely,
>
> Jesus M, Goiri
>
> Clear[JuliaTest]
> JuliaTest = Compile[{x, y, {n, _Integer}, {c, _Complex}},
> Module[{z, num = 0}, z = x + y I;
> While[Abs[z] < 2.0 && num < n, z = z^2 + c; num++]; num]]
> DensityPlot[JuliaTest[x, y, 50, -0.75 + 0.5 I],
> {x, 1.24, 1.27}, {y, -0.13, -0.1}, PlotPoints -> 500,
> Mesh -> False, ColorFunction -> Hue]
>
Don't use PlotPoints -> 500 with Mathematica 6. In Mathematica 6,
DensityPlot automatically increases the number of points when necessary,
just like Plot did in v5. I think that it also uses interpolation to
make the plot look smoother. So it is ideal for plotting smooth
functions, but not so good for plotting a Julia set.
ArrayPlot is a better choice here:
ArrayPlot[
Table[JuliaTest[x, y, 50, -0.75 + 0.5 I], {x, 1.24,
1.27, .0001}, {y, -0.13, -0.1, .0001}], ColorFunction -> Hue]
--
Szabolcs