This file was uploaded in PDF, despite containing only graphic data. If possible, please upload an (extracted) image version of this file instead. See Commons:File types for more information. Deutsch ∙ English ∙ español ∙ français ∙ português ∙ македонски ∙ 日本語 ∙ +/−

Abaque de Wulff avec un pas de 2 °, pour la lecture de figure de pôles

Wulff net with a step of 2°, used to read pole figures

Voir aussi/see also : image:abaque wulff.png

Auteur/author : Christophe Dang Ngoc Chan (cdang)

Réalisé avec/made with : Scilab

clear;clf;
pas=0.005;

// Cercle horizontal de base

y=[0:pas:1]';
NY=size(y); ny=NY(1,1);

for i=1:ny
   x(i)=sqrt(1-y(i)^2);
end

// Cercles méridiens et parallèles

for j=1:44
   r1=cos(j*%pi/90); // décalage de 2°
   r2=sin(j*%pi/90);
   for i=1:ny
// Cercles méridiens
      Xm(i,j)=x(i)*r1; // coordonnées des points du cercle incliné
      Ym(i,j)=y(i);
      Zm(i,j)=x(i)*r2;
// Cercles parallèles
      Xp(i,j)=y(i)*r2; // coordonnées des points du cercle parallèle
      Yp(i,j)=r1;
      Zp(i,j)=x(i)*r2;
   end
end


// Projection stéréographique

// Pôle Sud S(0,0,-1), pôle P(X1,Y,Z)
// Droite : S + m*SP = (m*X1)i + (m*Y)j + (-1+m*(Z+1))k

for j=1:44
   for i=1:ny
// Cercles méridiens
      mm = 1/(1+Zm(i,j)); // z=0
      Xm1(i,j)=mm*Xm(i,j);
      Ym1(i,j)=mm*Ym(i,j);
// Cercles parallèles
      mp = 1/(1+Zp(i,j)); // z=0
      Xp1(i,j)=mp*Xp(i,j);
      Yp1(i,j)=mp*Yp(i,j);
   end
end

// Tracé

// Méridiens : simplifié près des extrémités (10°)

k=int((1-cos(%pi/18))/pas);
l=int((1-cos(%pi/90))/pas);
if l=0 then l=1; end

// Graduations par 2°

for j=[[1:4],[6:9],[11:14],[16:19],[21:24],[26:29],[31:34],[16:39],[41:44]]

   plot2d(Xm1(1:ny-k,j),Ym1(1:ny-k,j),style=2)
   plot2d(-Xm1(1:ny-k,j),Ym1(1:ny-k,j),style=2)
   plot2d(Xm1(1:ny-k,j),-Ym1(1:ny-k,j),style=2)
   plot2d(-Xm1(1:ny-k,j),-Ym1(1:ny-k,j),style=2)
   
   plot2d(Xp1(:,j),Yp1(:,j),style=2)
   plot2d(-Xp1(:,j),Yp1(:,j),style=2)
   plot2d(Xp1(:,j),-Yp1(:,j),style=2)
   plot2d(-Xp1(:,j),-Yp1(:,j),style=2)

end

// Graduations principales

for j=5:5:44

   xpoly(Xm1(1:ny-k,j),Ym1(1:ny-k,j))
   a=get('hdl');a.thickness=2;
   xpoly(-Xm1(1:ny-k,j),Ym1(1:ny-k,j))
   a=get('hdl');a.thickness=2;
   xpoly(Xm1(1:ny-k,j),-Ym1(1:ny-k,j))
   a=get('hdl');a.thickness=2;
   xpoly(-Xm1(1:ny-k,j),-Ym1(1:ny-k,j))
   a=get('hdl');a.thickness=2;
   plot2d(Xm1(ny-k:ny-l,j),Ym1(ny-k:ny-l,j))
   plot2d(-Xm1(ny-k:ny-l,j),Ym1(ny-k:ny-l,j))
   plot2d(Xm1(ny-k:ny-l,j),-Ym1(ny-k:ny-l,j))
   plot2d(-Xm1(ny-k:ny-l,j),-Ym1(ny-k:ny-l,j))

   xpoly(Xp1(:,j),Yp1(:,j))
   a=get('hdl');a.thickness=2;
   xpoly(-Xp1(:,j),Yp1(:,j))
   a=get('hdl');a.thickness=2;
   xpoly(Xp1(:,j),-Yp1(:,j))
   a=get('hdl');a.thickness=2;
   xpoly(-Xp1(:,j),-Yp1(:,j))
   a=get('hdl');a.thickness=2;

end

// axes et cercle autour

plot2d(x,y)
plot2d(-x,y)
plot2d(x,-y)
plot2d(-x,-y)

xpoly([0,0],[-1,1])
a=get('hdl');a.thickness=2;
xpoly([-1,1],[0,0])
a=get('hdl');a.thickness=2;

axe=get('current_axes');
axe.axes_visible=['off','off'];
axe.isoview='on';
axe.box='off';

I, the copyright holder of this work, hereby publish it under the following licenses:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

	This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
	This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

You may select the license of your choice.