gravitation/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\PSTricksLoaded\endinput\else \input pstricks \fi
  25 \ifx\PSTplotLoaded\endinput\else \input pst-plot.tex\fi
  26 \ifx\PSTXKeyLoaded\endinput\else \input pst-xkey.tex \fi
  27 \edef\PstAtCode{\the\catcode`\@}%
  28 \catcode`\@=11\relax
  29 % Definition of the parameters
  30 % ----------------------------
  31 % Added by JG, 2012 06 20
  32 \def\datRoot{}
  33 % Definition of a "Root" within the hard drive for Distiller users
  34 % Note: The root must be set with "slashes" not "backslashes" like
  35 % \def\datRoot{C:/Users/Desktop/datfolder/}
  36 % By default the \datRoot is left empty (for non-Distiller usage)
  37 \pst@addfams{pst-eqd}
  38 \define@key[psset]{pst-eqd}{method}{\edef\psk@method{#1}}%
  39 \define@key[psset]{pst-eqd}{whichabs}{\edef\psk@whichabs{#1}}%
  40 \define@key[psset]{pst-eqd}{whichord}{\edef\psk@whichord{#1}}%
  41 \define@key[psset]{pst-eqd}{plotfuncx}{\edef\psk@plotfuncx{#1}}%
  42 \define@key[psset]{pst-eqd}{plotfuncy}{\edef\psk@plotfuncy{#1}}%
  43 \define@key[psset]{pst-eqd}{tabname}{\edef\psk@tabname{#1}}%
  44 \define@key[psset]{pst-eqd}{filename}{\edef\psk@filename{\datRoot#1}}%
  45 \newif\ifPst@buildvector%
  46 \define@key[psset]{pst-eqd}{buildvector}[true]{\@nameuse{Pst@buildvector#1}}%
  47 \newif\ifPst@saveData%
  48 \define@key[psset]{pst-eqd}{saveData}[true]{\@nameuse{Pst@saveData#1}}%
  49 \psset[pst-eqd]{method=default, whichabs={}, whichord={}, filename=datas.dat,
  50   plotfuncx={}, plotfuncy={}, buildvector=false, tabname=tabValues, saveData=false}
  51 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  52 \SpecialCoor%% for using polar coordinates, node position, ...
  53 \psset{dimen=middle}%
  54 \def\@undef{undef}%
  55 \def\@default{default}%
  56 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  57 %% #1-#2 x range
  58 %% #3 initial value of y (which is a vector)
  59 %% #4 value of the d\'{e}rivative (y and t can be used)
  60 \def\psequadiff{\def\pst@par{}\pst@object{psequadiff}}
  61 \def\psequadiff@i#1#2#3#4{%
  62   \pst@killglue
  63   \begingroup
  64     \use@par
  65 \pstVerb{
  66     /x #1 def
  67     /x1 #2 def
  68     /y [ #3 ] def
  69     /ylength y length def
  70     /addvect
  71      { /len exch def 1 1 len
  72        { /i exch def len i sub 2 add -1 roll add len 2 mul i sub 1 roll } for } def
  73     /dx x1 x sub \psk@plotpoints div def
  74     /mulvect { exch 1 index { dup 4 -1 roll mul 2 index 2 add 1 roll } repeat pop pop } def
  75     /divvect { exch 1 index { dup 4 -1 roll exch div 2 index 2 add 1 roll } repeat pop pop } def
  76     /k0 0 def /k1 0 def /k2 0 def /k3 0 def
  77   \ifPst@algebraic /F@pstplot (#4) AlgParser cvx def \fi
  78    /Func {
  79       \ifPst@algebraic F@pstplot ylength array astore
  80       \else
  81         \ifPst@buildvector\else y aload pop \fi #4
  82         \ifPst@buildvector\else ylength array astore \fi
  83       \fi
  84     } def
  85     /xy {
  86   \ifx\psk@method\@default%
  87       \ifx\psk@plotfuncx\@empty
  88         \ifx\psk@whichabs\@empty x \else y \psk@whichabs\space get \fi%
  89       \else\psk@plotfuncx\space\fi%
  90 %      \pst@number\psxunit mul
  91       y /y Func { dx mul } forall y aload pop ylength addvect ylength array astore def
  92       \ifx\psk@plotfuncy\@empty
  93         \ifx\psk@whichord\@empty 0 \else\psk@whichord\space\fi get %
  94       \else\psk@plotfuncy\space\fi
  95   \else%
  96       \ifx\psk@plotfuncx\@empty
  97         \ifx\psk@whichabs\@empty x \else y \psk@whichabs\space get \fi%
  98       \else\psk@plotfuncx\space\space\fi%
  99       y /k0 Func { dx mul } forall ylength array astore def %% y
 100       dup aload pop k0 { 2 div } forall ylength addvect ylength array astore /y exch def %
 101       x dup dx 2 div add /x exch def %% y x
 102       /k1 Func { dx mul } forall ylength array astore def %% y x
 103       exch dup aload pop k1 { 2 div } forall ylength addvect y astore pop %% x y
 104       /k2 Func { dx mul } forall ylength array astore def %% x y
 105       dup aload pop k2 aload pop ylength addvect y astore pop exch dup dx add /x exch def %% y x
 106       /k3 Func { dx mul } forall ylength array astore def %% y x
 107       /x exch def %% y
 108       dup aload pop k0 aload pop k1 aload pop k2 aload pop ylength addvect
 109       2 ylength mulvect ylength addvect k3 aload pop ylength addvect
 110       6 ylength divvect ylength addvect y astore pop
 111       \ifx\psk@plotfuncy\@empty
 112         \ifx\psk@whichord\@empty 0 \else\psk@whichord\space\fi get %
 113       \else\psk@plotfuncy\space\fi
 114   \fi
 115     } def
 116 /\psk@tabname[
 117   \psk@plotpoints {
 118         xy
 119         /x x dx add
 120          def
 121      } repeat
 122       /x x1 def
 123       xy
 124     ] def
 125 \ifPst@saveData
 126 /fichierpoints (\psk@filename) (w) file def
 127 0 2 \psk@tabname\space length 2 sub  {/i exch def
 128     /xi \psk@tabname\space i get def
 129     /yi \psk@tabname\space i 1 add get def
 130       fichierpoints xi 15 string cvs writestring
 131       fichierpoints 32 write %% espace
 132       fichierpoints yi 15 string cvs writestring
 133       fichierpoints 32 write %% espace
 134       fichierpoints 10 write %% CR
 135 } for
 136 fichierpoints closefile
 137 \fi
 138     }%
 139   \endgroup
 140   \ignorespaces}
 141 %%% Local Variables:
 142 %%% mode: latex
 143 %%% TeX-master: t
 144 %%% End: