File: sgrid.sci

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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) INRIA
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution.  The terms
// are also available at    
// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt



function [] = sgrid(zeta,wn,col)

// sgrid()
// sgrid(Z,Wn)
// sgrid('new') 
  [lhs,rhs]=argn(0)
  axes=gca();
  select rhs
  case 0 then 
    wn= 0:1:10;
    zeta = linspace(0,1,10);
    col=3;
  case 1 then
    if type(zeta)<>10 then
      error(msprintf(_("%s: Wrong type for input argument #%d: String array expected.\n"),"sgrid",1))
    end
    if size(zeta,'*')<>1 then
      error(msprintf(_("%s: Wrong size for input argument #%d: A string expected.\n"),"sgrid",1))
    end
    wn = 0:1:10;
    zeta = [ 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1 ];
    col=3;
    clf()
    axes.data_bounds=[-20,-20;20,20];axes.axes_visible='on';
  case 2 then
    col=3;
  end 
  wmax = 10 .^(floor(log10(max(abs(axes.data_bounds)))));
  // building a grid 
  zx = 0:.01:1;
  [rx,cx]=size(wn);[ry,cy]=size(zx);
  w=wn.*.ones(cy,1);z=zx'.*.ones(1,cx);

  // plot : part I 
  re = - w .* z;
  [zr,zc] = size(z);
  im = w .* sqrt( 1 - z .* z );
  plot2d(re,im,style=col*ones(1,zc));
  plot2d(re,-im,style=col*ones(1,zc));
  
  // info on curves 

  [rer,rec] = size(re)

  axes.clip_state = "clipgrf";
  xnumb(re(1,:),im(1,:),wn);
  axes.clip_state = "off";

  // building an other grid 

  wn = [0,wn,2*wmax];
  [rx,cx]=size(wn);[ry,cy]=size(zeta);
  w=wn.*.ones(cy,1);z=zeta'.*.ones(1,cx);

  // plot part II  

  [zr,zc] = size(z);
  re = -w .* z;
  im = w .* sqrt( 1 - z .* z );
  plot2d(re',im',style=col*ones(1,zr));
  plot2d(re',-im',style=col*ones(1,zr));

  // info on each curve ( straight lines )
  [rer,rec] = size(re)
  axes.clip_state = "clipgrf";
  xnumb(re(:,$)',im(:,$)',zeta);
  axes.clip_state = "off";
  
endfunction