diff options
author | Karl Berry <karl@freefriends.org> | 2009-10-08 18:55:37 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2009-10-08 18:55:37 +0000 |
commit | 691011f868f30f9ca3eb7b8e2bfd788e528b000e (patch) | |
tree | 35e20e456d20847081c28a43b6f0820578905c40 /Master/texmf-dist/doc | |
parent | 64ad51ab6d8f7139855dfe80c630239f9a602e5e (diff) |
mfpic4ode move .tex to runtime (luecking 08 Oct 2009 13:51:19)
git-svn-id: svn://tug.org/texlive/trunk@15692 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc')
-rw-r--r-- | Master/texmf-dist/doc/latex/mfpic4ode/mfpic4ode.tex | 207 |
1 files changed, 0 insertions, 207 deletions
diff --git a/Master/texmf-dist/doc/latex/mfpic4ode/mfpic4ode.tex b/Master/texmf-dist/doc/latex/mfpic4ode/mfpic4ode.tex deleted file mode 100644 index a20dcb81c35..00000000000 --- a/Master/texmf-dist/doc/latex/mfpic4ode/mfpic4ode.tex +++ /dev/null @@ -1,207 +0,0 @@ -%% -%% This is file `mfpic4ode.tex', -%% generated with the docstrip utility. -%% -%% The original source files were: -%% -%% mfpic4ode.dtx (with options: `tex') -%% -%% This is a generated file. -%% -%% Copyright (C) 2007 by Robert Marik <marik@mendelu.cz> -%% -%% This file may be distributed and/or modified under the conditions of -%% the LaTeX Project Public License, either version 1.2 of this license -%% or (at your option) any later version. The latest version of this -%% license is in: -%% -%% http://www.latex-project.org/lppl.txt -%% -%% and version 1.2 or later is part of all distributions of LaTeX version -%% 1999/12/01 or later. -%% -\catcode`\@=11 - -\newif\ifcolorODEarrow -%%%\colorODEarrowfalse -\colorODEarrowtrue - -%%% The line from one point to another -\def\ODEline#1#2{\lines{#1,#2}} - -%%% The variable ODErhs is used to store the function from the right -%%% hand side of ODE in the form y'=f(x,y). We use command -%%% ODEdefineequation to set up this variable. -\def\ODEdefineequation#1{\fdef{ODErhs}{x,y}{#1}} - -%%% Integral curve using Euler method. The step of this method is -%%% ODEstep and the number of steps is ODEstepcount. The points are -%%% stored in metapost variables x1,y1. -\def\trajectory#1#2{ - \begin{connect} - \mfsrc{x1:=#1;y1:=#2; - for i=1 upto ODEstepcount: - x2:=x1+ODEstep; - y2:=y1+ODEstep*ODErhs(x1,y1);} - \ODEline{z1}{z2} - \mfsrc{ - if ((y2>yneg) and (y2<ypos)): x1:=x2; y1:=y2 fi; - endfor - } - \end{connect} -} - -%%% Integral curve using Runge--Kutta method. -\def\trajectoryRK#1#2{ - \begin{connect} - \mfsrc{x1:=#1;y1:=#2; - for i=1 upto ODEstepcount: - k1:=ODErhs(x1,y1); - x3:=x1+(ODEstep/2); - y3:=y1+k1*(ODEstep/2); - k2:=ODErhs(x3,y3); - x2:=x1+ODEstep; - y2:=y1+ODEstep*k2;} - \ODEline{z1}{z2} - \mfsrc{ - if ((y2>yneg) and (y2<ypos)): x1:=x2; y1:=y2 fi; - endfor - } - \end{connect} -} -%%% Integral curve using fourth order Runge--Kutta method. -\def\trajectoryRKF#1#2{ - \begin{connect} - \mfsrc{x1:=#1;y1:=#2; - for i=1 upto ODEstepcount: - k1:=ODErhs(x1,y1); - x3:=x1+(ODEstep/2); - y3:=y1+k1*(ODEstep/2); - k2:=ODErhs(x3,y3); - y4:=y1+k2*(ODEstep/2); - k3:=ODErhs(x3,y4); - y5:=y1+k3*(ODEstep/2); - k4:=ODErhs(x3,y5); - kk:=(k1+2*k2+2*k3+k4)/6; - x2:=x1+ODEstep; - y2:=y1+ODEstep*kk;} - \ODEline{z1}{z2} - \mfsrc{ - if ((y2>yneg) and (y2<ypos)): x1:=x2; y1:=y2 fi; - endfor - } - \end{connect} -} -\def\ODEarrow#1#2{ - \mfsrc{x1:=#1; y1:=#2; - x3:=x1+(ODEarrowlength)/((xscale)++(ODErhs(#1,#2)*yscale)); - y3:=y1+(ODEarrowlength*ODErhs(#1,#2))/((xscale)++(ODErhs(#1,#2)*yscale)); - if y3>y1:ODEcolorarrow:=blue else: ODEcolorarrow:=red fi; - } - \ifcolorODEarrow - \drawcolor{ODEcolorarrow} \headcolor{ODEcolorarrow} - \fi - \draw\arrow\lines{z1,z3} -} - -\def\ODEarrows#1{\ODE@cycle@points#1;,;} -\def\trajectories#1{\ODE@cycle@IC#1;,;} -\def\ODE@last@point{} -\def\ODE@cycle@points#1,#2;{\def\temp{#1}\ifx\temp\ODE@last@point\let\next\relax - \else\ODEarrow{#1}{#2}\relax\let\next\ODE@cycle@points\fi\next} -\def\ODE@cycle@IC#1,#2;{\def\temp{#1}\ifx\temp\ODE@last@point\let\next\relax - \else - \trajectoryRKF{#1}{#2}\relax\let\next\ODE@cycle@IC\fi\next} -\mfsrc{path p,q;color ODEcolorarrow;} - -%%% Onedimensional autonomous systems y'=f(y) where '=d/dx -\def\ODEharrow#1{ - \mfsrc{x1:=#1; - if ODErhs(0,x1)>0: x3:=x1+ODEarrowlength else: x3:=x1-ODEarrowlength fi; - if ODErhs(0,x1)*ODErhs(0,x3)<0: x1:=-100;x3:=-100 fi; - if x3>x1:ODEcolorarrow:=blue else: ODEcolorarrow:=red fi; - } - \ifcolorODEarrow \drawcolor{ODEcolorarrow} - \headcolor{ODEcolorarrow} \fi - \pen{1.5pt} - \draw\arrow\lines{(x1,0),(x3,0)} -} - -\def\ODEvarrow#1{ - \mfsrc{x1:=#1; - if ODErhs(0,#1)>0: - x3:=x1+(ODEarrowlength/yscale) else: x3:=x1-(ODEarrowlength/yscale) fi; - if ODErhs(0,x1)*ODErhs(0,x3)<0: x1:=-100;x3:=-100 fi; - if x3>x1:ODEcolorarrow:=blue else: ODEcolorarrow:=red fi; - } - \ifcolorODEarrow \drawcolor{ODEcolorarrow} - \headcolor{ODEcolorarrow} \fi - \pen{1.5pt} - \draw\arrow\lines{(0,x1),(0,x3)} -} - -%%% Twodimensional autonomous systems x'=f(x,y), y'=g(x,y) where '=d/dt -\def\ASdefineequations#1#2{\fdef{ASf}{x,y}{#1}\fdef{ASg}{x,y}{#2}} - -\def\AStrajectory#1#2{ - \begin{connect} - \mfsrc{x1:=#1;y1:=#2; - for i=1 upto ODEstepcount: - x2:=x1+ODEstep*ASf(x1,y1); - y2:=y1+ODEstep*ASg(x1,y1);} - \ODEline{z1}{z2} - \mfsrc{ - if ((y2>yneg) and (y2<ypos)): x1:=x2; y1:=y2 fi; - endfor - } - \end{connect} -} -\def\ASarrow#1#2{ - \mfsrc{x1:=#1; y1:=#2; - x3:=x1+(ODEarrowlength*ASf(#1,#2))/((ASf(#1,#2)*xscale)++(ASg(#1,#2)*yscale )); - y3:=y1+(ODEarrowlength*ASg(#1,#2))/((ASf(#1,#2)*xscale)++(ASg(#1,#2)*yscale )); - if y3>y1:ODEcolorarrow:=blue else: ODEcolorarrow:=red fi; - } - \ifcolorODEarrow - \drawcolor{ODEcolorarrow} \headcolor{ODEcolorarrow} - \fi - \draw\arrow\lines{z1,z3} -} - -\def\ASarrows#1{\AS@cycle@points#1;,;} -\def\AS@cycle@points#1,#2;{\def\temp{#1}\ifx\temp\ODE@last@point\let\next\relax - \else\ASarrow{#1}{#2}\relax\let\next\AS@cycle@points\fi\next} -\def\AStrajectories#1{\AS@cycle@IC#1;,;} -\def\AS@cycle@IC#1,#2;{\def\temp{#1}\ifx\temp\ODE@last@point\let\next\relax - \else - \AStrajectoryRKF{#1}{#2}\relax\let\next\AS@cycle@IC\fi\next} -\def\AStrajectoryRKF#1#2{ - \begin{connect} - \mfsrc{x1:=#1;y1:=#2; - TIMEsteps:=abs(TIMEend/TIMEstep); - TIME:=0; - for i=1 upto TIMEsteps: - k1:=ASf(x1,y1); - l1:=ASg(x1,y1); - k2:=ASf(x1+(TIMEstep*k1/2),y1+(TIMEstep*l1/2)); - l2:=ASg(x1+(TIMEstep*k1/2),y1+(TIMEstep*l1/2)); - k3:=ASf(x1+(TIMEstep*k2/2),y1+(TIMEstep*l2/2)); - l3:=ASg(x1+(TIMEstep*k2/2),y1+(TIMEstep*l2/2)); - k4:=ASf(x1+(TIMEstep*k3),y1+(TIMEstep*l3)); - l4:=ASg(x1+(TIMEstep*k3),y1+(TIMEstep*l3)); - k5:=((k1)/6)+((k2)/3)+((k3)/3)+((k4)/6); - l5:=(l1/6)+(l2/3)+(l3/3)+(l4/6); - x2:=x1+(TIMEstep*k5); - y2:=y1+(TIMEstep*l5);} - \ODEline{z1}{z2} - \mfsrc{ - if ((y2>yneg) and (y2<ypos) and (x2<xpos) and (x2>xneg)): x1:=x2; y1:=y2 fi; - endfor - } - \end{connect} -} - -\catcode`\@12\relax -\endinput -%% -%% End of file `mfpic4ode.tex'. |