From fda32923f8b15421e227324231c7f46c220da950 Mon Sep 17 00:00:00 2001 From: Jean-Michel Sarlat Date: Fri, 22 Jun 2012 10:34:16 +0200 Subject: [PATCH] =?utf8?q?Chargement=20des=20fichiers=20du=20r=C3=A9pertoi?= =?utf8?q?re=20lorenz?= MIME-Version: 1.0 Content-Type: text/plain; charset=utf8 Content-Transfer-Encoding: 8bit --- index.xml | 4 + lorenz/Lorenz-PSTricks.pdf | Bin 0 -> 236709 bytes lorenz/Lorenz-PSTricks.tex | 541 ++++++ lorenz/LorenzXY.dat | 2501 ++++++++++++++++++++++++++++ lorenz/LorenzXZ.dat | 2501 ++++++++++++++++++++++++++++ lorenz/LorenzYZ.dat | 2501 ++++++++++++++++++++++++++++ lorenz/XYZLorenz.dat | 2501 ++++++++++++++++++++++++++++ lorenz/animXYZ_Lorenz-PSTricks.pdf | Bin 0 -> 2770437 bytes lorenz/animXYZ_Lorenz-PSTricks.tex | 245 +++ lorenz/animXY_Lorenz-PSTricks.pdf | Bin 0 -> 1028382 bytes lorenz/animXY_Lorenz-PSTricks.tex | 261 +++ lorenz/animXZ_Lorenz-PSTricks.pdf | Bin 0 -> 1009706 bytes lorenz/animXZ_Lorenz-PSTricks.tex | 261 +++ lorenz/animYZ_Lorenz-PSTricks.pdf | Bin 0 -> 999717 bytes lorenz/animYZ_Lorenz-PSTricks.tex | 261 +++ lorenz/index.xml | 4 + lorenz/pst-eqdf.sty | 3 + lorenz/pst-eqdf.tex | 143 ++ web.xml | 6 + 19 files changed, 11733 insertions(+) create mode 100644 index.xml create mode 100644 lorenz/Lorenz-PSTricks.pdf create mode 100644 lorenz/Lorenz-PSTricks.tex create mode 100644 lorenz/LorenzXY.dat create mode 100644 lorenz/LorenzXZ.dat create mode 100644 lorenz/LorenzYZ.dat create mode 100644 lorenz/XYZLorenz.dat create mode 100644 lorenz/animXYZ_Lorenz-PSTricks.pdf create mode 100644 lorenz/animXYZ_Lorenz-PSTricks.tex create mode 100644 lorenz/animXY_Lorenz-PSTricks.pdf create mode 100644 lorenz/animXY_Lorenz-PSTricks.tex create mode 100644 lorenz/animXZ_Lorenz-PSTricks.pdf create mode 100644 lorenz/animXZ_Lorenz-PSTricks.tex create mode 100644 lorenz/animYZ_Lorenz-PSTricks.pdf create mode 100644 lorenz/animYZ_Lorenz-PSTricks.tex create mode 100644 lorenz/index.xml create mode 100644 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+\uput[r](12.5,0){$t$} +\uput[u](0,5){$x$} +\end{pspicture} +\end{verbatim} +\subsection{Le tracé de XZ} +\begin{center} +\begin{pspicture}(-8,0)(8,12) +\psgrid[subgriddiv=0,gridcolor=lightgray,griddots=10,gridlabels=0pt]% +\pstVerb{\parametres}% + \psequadiff[% x,z + tabname=tabXZ, + method=rk4, + whichabs=0, + whichord=2, + saveData,filename=LorenzXZ.dat, + plotpoints=2501,algebraic]{0}{25}{\conditionsInitiales}{\Lorenz} +\listplotHSB[linecolor=green,unit=0.25,HueBegin=.25,HueEnd=0.65]{tabXZ aload pop}% +\uput[r](8,0){$x$} +\uput[u](0,12){$z$} +\end{pspicture} +\end{center} +\begin{verbatim} +\begin{pspicture}(-8,0)(8,12) +\psgrid[subgriddiv=0,gridcolor=lightgray,griddots=10,gridlabels=0pt]% +\pstVerb{\parametres}% + \psequadiff[% x,z + tabname=tabXZ, + method=rk4, + whichabs=0, + whichord=2, + saveData,filename=LorenzXZ.dat, + plotpoints=2501,algebraic]{0}{25}{\conditionsInitiales}{\Lorenz} +\listplotHSB[linecolor=green,unit=0.25,HueBegin=.25,HueEnd=0.65]{tabXZ aload pop}% +\uput[r](8,0){$x$} +\uput[u](0,12){$z$} +\end{pspicture} +\end{verbatim} +\subsection{Le tracé de YZ} +\begin{center} +\begin{pspicture}(-8,0)(8,12) +\psgrid[subgriddiv=0,gridcolor=lightgray,griddots=10,gridlabels=0pt]% +\pstVerb{\parametres}% + \psequadiff[% y,z + tabname=tabYZ, + method=rk4, + whichabs=1, + whichord=2, + saveData,filename=LorenzYZ.dat, + plotpoints=2501,algebraic]{0}{25}{\conditionsInitiales}{\Lorenz} +\listplotHSB[linecolor=magenta,unit=0.25,HueBegin=0.65,HueEnd=1]{tabYZ aload pop}% +\uput[r](8,0){$y$} +\uput[u](0,12){$z$} +\end{pspicture} +\end{center} +\begin{verbatim} +\begin{pspicture}(-8,0)(8,12) +\psgrid[subgriddiv=0,gridcolor=lightgray,griddots=10,gridlabels=0pt]% +\pstVerb{\parametres}% + \psequadiff[% y,z + tabname=tabYZ, + method=rk4, + whichabs=1, + whichord=2, + saveData,filename=LorenzYZ.dat, + plotpoints=2501,algebraic]{0}{25}{\conditionsInitiales}{\Lorenz} +\listplotHSB[linecolor=magenta,unit=0.25,HueBegin=0.65,HueEnd=1]{tabYZ aload pop}% +\uput[r](8,0){$y$} +\uput[u](0,12){$z$} +\end{pspicture} +\end{verbatim} +\subsection{Le tracé du papillon de Lorenz en 3D} +Le tracé en 3D est l'étape la plus délicate, puisqu'il faut réunir les fichiers $(x,y)$, $(x,z)$ et $(y,z)$ en un seul fichier $(x,y,z)$. Ce qu'on réalise ainsi : +\begin{verbatim} +\pstVerb{/XY [(LorenzXY.dat) run ] def + /XZ [(LorenzXZ.dat) run ] def + /YZ [(LorenzYZ.dat) run ] def +/tabXYZ [ + 0 2 XY length 2 sub {/i exch def + [ XY i get + XY i 1 add get + YZ i 1 add get + ] + } for + ]def +/fichierpoints (XYZLorenz.dat) (w) file def +0 1 tabXYZ length 1 sub {/i exch def + tabXYZ i get aload pop + /zi exch def + /yi exch def + /xi exch def + fichierpoints xi 15 string cvs writestring + fichierpoints 32 write %% espace + fichierpoints yi 15 string cvs writestring + fichierpoints 32 write %% espace + fichierpoints zi 15 string cvs writestring + fichierpoints 10 write %% CR +} for +fichierpoints closefile +\end{verbatim} +Les dernières lignes permettent d'enregistrer, si on le souhaite, le fichier de points. +\begin{center} +\begin{pspicture}(-6,-4)(6,12) +\psset{THETA=-70,PHI=20,Dobs=2000,Decran=400} +\pstVerb{/XY [(LorenzXY.dat) run ] def + /XZ [(LorenzXZ.dat) run ] def + /YZ [(LorenzYZ.dat) run ] def +/tabXYZ [ + 0 2 XY length 2 sub {/i exch def + [ XY i get + XY i 1 add get + YZ i 1 add get + ] + } for + ]def +/fichierpoints (XYZLorenz.dat) (w) file def +0 1 tabXYZ length 1 sub {/i exch def + tabXYZ i get aload pop + /zi exch def + /yi exch def + /xi exch def + fichierpoints xi 15 string cvs writestring + fichierpoints 32 write %% espace + fichierpoints yi 15 string cvs writestring + fichierpoints 32 write %% espace + fichierpoints zi 15 string cvs writestring + fichierpoints 10 write %% CR +} for +fichierpoints closefile +}% +\makeatletter +\pstVerb{ + /THETA \psk@TroisD@Theta def + /PHI \psk@TroisD@Phi def + /Dobs \psk@TroisD@Dobs def + /DScreen \psk@TroisD@Ecran def + /Sin1 THETA sin def + /Sin2 PHI sin def + /Cos1 THETA cos def + /Cos2 PHI cos def + /Cos1Sin2 Cos1 Sin2 mul def + /Sin1Sin2 Sin1 Sin2 mul def + /Cos1Cos2 Cos1 Cos2 mul def + /Sin1Cos2 Sin1 Cos2 mul def + /IIID { + 0 1 tabXYZ length 1 sub {/i exch def + /TAB tabXYZ i get def + /abscisse TAB 0 get def + /ordonnee TAB 1 get def + /cote TAB 2 get def + \formules} for + } def + }% + \makeatother +\listplotHSB[unit=1]{IIID} +\psset{unit=2.5,linestyle=dashed} +\pnodeTroisD(0,0,0){O} +\pnodeTroisD(0,0,5){Z} +\pnodeTroisD(5,0,0){X} +\pnodeTroisD(0,5,0){Y} +\pnodeTroisD(-10,-10,0){A} +\pnodeTroisD(-10,-10,20){B} +\pnodeTroisD(-10,10,20){C} +\pnodeTroisD(-10,10,0){D} +\pnodeTroisD(10,-10,0){E} +\pnodeTroisD(10,-10,20){F} +\pnodeTroisD(10,10,20){G} +\pnodeTroisD(10,10,0){H} +\pspolygon(A)(B)(C)(D) +\pspolygon(E)(F)(G)(H) +\psline(A)(E) +\psline(B)(F) +\psline(D)(H) +\psline(C)(G) +\psset{linestyle=solid,linecolor=red} +\psline{->}(O)(X) +\psline{->}(O)(Y) +\psline{->}(O)(Z) +\end{pspicture} +\end{center} +\newpage +Le tracé s'effectue grâce à la commande \verb+\pnodeTroisD+ et ses diverses options. +\begin{verbatim} +\makeatletter +\pstVerb{ + /THETA \psk@TroisD@Theta def + /PHI \psk@TroisD@Phi def + /Dobs \psk@TroisD@Dobs def + /DScreen \psk@TroisD@Ecran def + /Sin1 THETA sin def + /Sin2 PHI sin def + /Cos1 THETA cos def + /Cos2 PHI cos def + /Cos1Sin2 Cos1 Sin2 mul def + /Sin1Sin2 Sin1 Sin2 mul def + /Cos1Cos2 Cos1 Cos2 mul def + /Sin1Cos2 Sin1 Cos2 mul def + /IIID { + 0 1 tabXYZ length 1 sub {/i exch def + /TAB tabXYZ i get def + /abscisse TAB 0 get def + /ordonnee TAB 1 get def + /cote TAB 2 get def + \formules} for + } def + }% + \makeatother +\listplotHSB[unit=1]{IIID} +\psset{unit=2.5,linestyle=dashed} +\pnodeTroisD(0,0,0){O} +\pnodeTroisD(0,0,5){Z} +\pnodeTroisD(5,0,0){X} +\pnodeTroisD(0,5,0){Y} +\pnodeTroisD(-10,-10,0){A} +\pnodeTroisD(-10,-10,20){B} +\pnodeTroisD(-10,10,20){C} +\pnodeTroisD(-10,10,0){D} +\pnodeTroisD(10,-10,0){E} +\pnodeTroisD(10,-10,20){F} +\pnodeTroisD(10,10,20){G} +\pnodeTroisD(10,10,0){H} +\pspolygon(A)(B)(C)(D) +\pspolygon(E)(F)(G)(H) +\psline(A)(E) +\psline(B)(F) +\psline(D)(H) +\psline(C)(G) +\psset{linestyle=solid,linecolor=red} +\psline{->}(O)(X) +\psline{->}(O)(Y) +\psline{->}(O)(Z) +\end{verbatim} +\section{Animations avec le package animate} +En préparation. +\end{document} + diff --git a/lorenz/LorenzXY.dat b/lorenz/LorenzXY.dat new file mode 100644 index 0000000..f703118 --- /dev/null +++ b/lorenz/LorenzXY.dat @@ -0,0 +1,2501 @@ +10 10 +9.98523 9.69224 +9.94194 9.37201 +9.87188 9.04414 +9.77712 8.71353 +9.65998 8.38504 +9.52302 8.06331 +9.36898 7.75262 +9.20072 7.45676 +9.02117 7.179 +8.83326 6.92204 +8.63987 6.68796 +8.44378 6.47829 +8.24762 6.29402 +8.05384 6.13565 +7.8647 6.00329 +7.6822 5.89667 +7.50815 5.81529 +7.34411 5.75839 +7.19141 5.7251 +7.05119 5.71445 +6.92434 5.7254 +6.81161 5.75694 +6.71357 5.80804 +6.63062 5.87772 +6.56306 5.96506 +6.51106 6.06919 +6.4747 6.18931 +6.45397 6.32465 +6.4488 6.47451 +6.45906 6.63821 +6.48456 6.81508 +6.52508 7.00445 +6.58034 7.20563 +6.65003 7.41788 +6.73378 7.64039 +6.8312 7.87224 +6.94183 8.11239 +7.06513 8.35963 +7.20052 8.61259 +7.3473 8.86968 +7.50471 9.12908 +7.67186 9.38871 +7.84772 9.64624 +8.03115 9.89906 +8.22084 10.1443 +8.41533 10.3788 +8.61297 10.5993 +8.81195 10.8021 +9.01031 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