lorenz/pst-eqdf.tex

   1 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -*- Mode: Latex -*- %%%%%%%%%%%%%%%%%%%%%%%%%%%%
   2 %% pst-eqdf.tex --- plotting of differential equations
   3 %% Copyright 2004 Dominique RODRIGUEZ
   4 %%
   5 %% Author          : Dominique RODRIGUEZ (EN) <dominique.rodriguez@waika9.com>
   6 %% Created the     : ven avr  2 22:02:01 CEST 2004
   7 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
   8 %% HISTORY
   9 %%
  10 %% 2004-04-04 : creation of the file from a first LaTeX protype sty file
  11 %%
  12 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  13 \def\fileversion{pre-1.0}
  14 \def\filedate{2004/03/21}%
  15 %% This program can be redistributed and/or modified under the terms
  16 %% of the LaTeX Project Public License Distributed from CTAN
  17 %% archives in directory macros/latex/base/lppl.txt.
  18 %% adapation de M.Luque juin 2012 pour
  19 %% sauvegarde de tableaux de valeurs
  20 \message{`PST-Equadiff v\fileversion, \filedate\space (Dominique RODRIGUEZ)}%
  21 \csname PSTEquadiffLoaded\endcsname
  22 \let\PSTEquadiffLoaded\endinput
  23 % Require PSTricks and pst-node packages
  24 \ifx\PSTplotLoaded\endinput\else\input pst-plot.tex\fi
  25 %% prologue for postcript
  26 %%\pstheader{pst-eucl.pro}%
  27 % DPC interface to the `keyval' package (until keyval based version of PSTricks)
  28 %\input pst-key.tex
  29 \edef\PstAtCode{\the\catcode`\@}%
  30 \catcode`\@=11\relax
  31 % Definition of the parameters
  32 % ----------------------------
  33 \pst@addfams{pst-eqd}
  34 \define@key[psset]{pst-eqd}{method}{\edef\psk@method{#1}}%
  35 \define@key[psset]{pst-eqd}{whichabs}{\edef\psk@whichabs{#1}}%
  36 \define@key[psset]{pst-eqd}{whichord}{\edef\psk@whichord{#1}}%
  37 \define@key[psset]{pst-eqd}{plotfuncx}{\edef\psk@plotfuncx{#1}}%
  38 \define@key[psset]{pst-eqd}{plotfuncy}{\edef\psk@plotfuncy{#1}}%
  39 \define@key[psset]{pst-eqd}{tabname}{\edef\psk@tabname{#1}}%
  40 \define@key[psset]{pst-eqd}{filename}{\edef\psk@filename{#1}}%
  41 \newif\ifPst@buildvector%
  42 \define@key[psset]{pst-eqd}{buildvector}[true]{\@nameuse{Pst@buildvector#1}}%
  43 \newif\ifPst@saveData%
  44 \define@key[psset]{pst-eqd}{saveData}[true]{\@nameuse{Pst@saveData#1}}%
  45 \psset{method=default, whichabs=default, whichord=default, filename=datas.dat,
  46   plotfuncx=default, plotfuncy=default, buildvector=false,tabname=tabValues,saveData=false}
  47 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  48 \SpecialCoor%% for using polar coordinates, node position, ...
  49 \psset{dimen=middle}% remark of ML
  50 \def\@undef{undef}%
  51 \def\@default{default}%
  52 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  53 %% #1-#2 x range
  54 %% #3 initial value of y (which is a vector)
  55 %% #4 value of the dérivative (y and t can be used)
  56 \def\psequadiff{\def\pst@par{}\pst@object{psequadiff}}
  57 \def\psequadiff@i#1#2#3#4{%
  58   \pst@killglue
  59   \begingroup
  60     \use@par
  61 %    \@nameuse{beginplot@\psplotstyle}%
  62   \addto@pscode{%
  63     /x #1 def
  64     /x1 #2 def
  65     /y [ #3 ] def
  66     /ylength y length def
  67     /addvect
  68      { /len exch def 1 1 len
  69        { /i exch def len i sub 2 add -1 roll add len 2 mul i sub 1 roll } for } def
  70     /dx x1 x sub \psk@plotpoints div def
  71     /mulvect { exch 1 index { dup 4 -1 roll mul 2 index 2 add 1 roll } repeat pop pop } def
  72     /divvect { exch 1 index { dup 4 -1 roll exch div 2 index 2 add 1 roll } repeat pop pop } def
  73     /k0 0 def /k1 0 def /k2 0 def /k3 0 def
  74   \ifPst@algebraic /F@pstplot (#4) AlgParser cvx def \fi
  75    /Func {
  76       \ifPst@algebraic F@pstplot ylength array astore
  77       \else
  78         \ifPst@buildvector\else y aload pop \fi #4
  79         \ifPst@buildvector\else ylength array astore \fi
  80       \fi
  81     } def
  82     /xy {
  83   \ifx\psk@method\@default%
  84       \ifx\psk@plotfuncx\@default
  85         \ifx\psk@whichabs\@default x \else y \psk@whichabs\space get \fi%
  86       \else\psk@plotfuncx\space\fi%
  87       \pst@number\psxunit mul
  88       y /y Func { dx mul } forall y aload pop ylength addvect ylength array astore def
  89       \ifx\psk@plotfuncy\@default
  90         \ifx\psk@whichord\@default 0 \else\psk@whichord\space\fi get %
  91       \else\psk@plotfuncy\space\fi
  92   \else%
  93       \ifx\psk@plotfuncx\@default
  94         \ifx\psk@whichabs\@default x \else y \psk@whichabs\space get \fi%
  95       \else\psk@plotfuncx\space\space\fi%
  96       y /k0 Func { dx mul } forall ylength array astore def %% y
  97       dup aload pop k0 { 2 div } forall ylength addvect ylength array astore /y exch def %
  98       x dup dx 2 div add /x exch def %% y x
  99       /k1 Func { dx mul } forall ylength array astore def %% y x
 100       exch dup aload pop k1 { 2 div } forall ylength addvect y astore pop %% x y
 101       /k2 Func { dx mul } forall ylength array astore def %% x y
 102       dup aload pop k2 aload pop ylength addvect y astore pop exch dup dx add /x exch def %% y x
 103       /k3 Func { dx mul } forall ylength array astore def %% y x
 104       /x exch def %% y
 105       dup aload pop k0 aload pop k1 aload pop k2 aload pop ylength addvect
 106       2 ylength mulvect ylength addvect k3 aload pop ylength addvect
 107       6 ylength divvect ylength addvect y astore pop
 108       \ifx\psk@plotfuncy\@default
 109         \ifx\psk@whichord\@default 0 \else\psk@whichord\space\fi get %
 110       \else\psk@plotfuncy\space\fi
 111   \fi
 112     } def}%
 113 \addto@pscode{%
 114 /\psk@tabname [
 115   \psk@plotpoints {
 116         xy
 117         /x x dx add
 118          def
 119      } repeat
 120       /x x1 def
 121       xy
 122     ] def
 123 \ifPst@saveData
 124 /fichierpoints (\psk@filename) (w) file def
 125 0 2 \psk@tabname\space length 2 sub  {/i exch def
 126     /xi \psk@tabname\space i get def
 127     /yi \psk@tabname\space i 1 add get def
 128       fichierpoints xi 15 string cvs writestring
 129       fichierpoints 32 write %% espace
 130       fichierpoints yi 15 string cvs writestring
 131       fichierpoints 32 write %% espace
 132       fichierpoints 10 write %% CR
 133 } for
 134 fichierpoints closefile
 135 \fi
 136     }%
 137 %\psdot[linecolor=white,dotsize=0.001](0,0)
 138   \endgroup
 139   \ignorespaces}
 140 %%% Local Variables:
 141 %%% mode: latex
 142 %%% TeX-master: t
 143 %%% End: