[pstricks] smoothing 3d plot (pst-3dplot with fileplotThreeD)

[Toche, Patrick]

Herbert, thanks for your suggestion. I don't follow the steps, but I'm good enough to copy-paste. As it happens, in your code lines like \pst at def were written \pst at def, and this caused error messages, but I was able to figure out the problem and fix it. That was pleasant.

I've now got quite a bit further: I can write a loop with multido which inputs my data files and plots all 5 trajectories (I haven't tested 100 trajectories yet)! I can also set a different color for each line. That's pretty much all I wanted.

Now I'm working on making the graph beautiful, and there's still some way to go. To see what I'm aiming at, here is the graph I got with Maple
patrick.toche.free.fr/stuff/urq.png
Maple does a very, very poor job of exporting its graphs, and for this reason I would like to rebuild the graph with PSTricks, if at all possible.

My first problem is that I don't understand how to set the units (and why there isn't a zunit!). 

Expressed in the actual units of the data, the range of interest for my plot is:

      xMin = -0.010
    , xMax = +0.000
    , yMin = +0.026
    , yMax = +0.030
    , zMin = +0.026
    , zMax = +0.030

(The numbers I selected below are just so I can see the trajectories and the axes, but it doesn't correspond to the final product, as I couldn't figure out the proper way to select units)

I want the pspicture to more or less fill an A4, or half of an A4 or even better an A4 in landscape mode rather than portrait. Or, rather, I want to maximize quality (file size is not a problem), however that may be achieved.

I just don't understand how to select the xunit and yunit.

Also, from what you wrote earlier, I gather that \pst at def{ScalePointsThreeD}< somehow redefines units. Is that right?

Any suggestions will be much appreciated. 

Below, I copy my data files again, where I have manually removed data I do not wish to plot. This would be very tedious in my real-life application, where I intend to produce 50 or so graphics with 100 multi-colored trajectories each... You say that readdata can be instructed to load only a subset of the data, do you have an example of that please?

many Thanks, Herbert, you've been very helpful,

Patrick.



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass{article}%
\usepackage{verbatim}%
\usepackage{pst-3dplot}%
\usepackage{pstricks-add}%

\makeatletter%
\pst at def{ScalePointsThreeD}<%
   counttomark dup dup cvi eq not { exch pop } if
   /m exch def /n m 3 div cvi def
   n {         %%%% now we have x y z
     tx at 3DPlotDict begin
     100 mul   %%%% 10*z
     3 -1 roll %%%% y 100*z x
     20 mul
     3 1 roll  %%%% 20*x y 100*z
     saveCoor
     ConvertTo2D
     x2D \pst at number\psxunit mul y2D \pst at number\psyunit mul
     end
     m 1 sub 1 roll m 1 sub 1 roll /m m 3 sub def } repeat>
\makeatother%

\pagestyle{empty}%

\begin{document}%

\begin{pspicture}(0,0)(\textwidth,\textheight)%

\begin{comment}% problem setting units
  \psset{%
  xunit = 10pt
  , yunit = 10pt
  }%
\end{comment}%

  \def\xMin{-10}%
  \def\xMax{0}%
  \def\yMin{0}%
  \def\yMax{10}%
  \def\zMin{0}%
  \def\zMax{10}%
  
  \def\N{5}%Number of Lines

  \pstThreeDCoor[%
      xMin = \xMin
    , xMax = \xMax
    , yMin = \yMin
    , yMax = \yMax
    , zMin = \zMin
    , zMax = \zMax
    , IIIDticks = true
    , IIIDlabels = true
    , IIIDticksize = 0.2
    , linecolor = red
    , linewidth = 2\pslinewidth
    , nameX = $\mathbf{x}$
    , nameY = $\mathbf{y}$
    , nameZ = $\mathbf{z}$
  ]%


\begin{comment}% single line plot
  \readdata{\data}{data/xyz1.txt}%
  \typeout{\data}%print data during debug
  \listplotThreeD[plotstyle=line,linecolor=blue]{\data}%
\end{comment}


%\begin{comment}% multiple line plot
\definecolorseries{lineColors}{hsb}{last}{red}{blue}%
\resetcolorseries[\N]{lineColors}%
\multido{\n=1+1}{\N}{%
  \readdata{\data}{data/xyz\n.txt}%
  \listplotThreeD[
    plotstyle = line
    , linecolor = {lineColors!![\n}% syntax is [\n ??
    ]{\data}%
}%
%\end{comment

  
\end{pspicture}%


\end{document}%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



xyz1.txt
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

xyz2.txt
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

xyz3.txt
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

xyz4.txt
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

xyz5.txt
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%