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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 2005 - INRIA - Farid Belahcene
// Copyright (C) 2010 - INRIA - Serge STEER
// 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_V2.1-en.txt
function []=zgrid(varargin)
// zgrid(["new",] [,Z,Wn [,colors]])
// zgrid(Z,Wn [,"new"] [,colors])
defaultcolors=[-1 -1];
defaultbounds=[-1,-1;1,1];
rhs=argn(2)
new=%f
if rhs>=1 then
if type(varargin(1))==10 then
if varargin(1)<>"new" then
error(msprintf(_("%s: Wrong value for input argument #%d: ''%s'' expected.\n"),"zgrid",1,"new"))
end
varargin(1)=null()
rhs=rhs-1
new=%t
end
end
if rhs>=3 then
if type(varargin(3))==10 then
if varargin(3)<>"new" then
error(msprintf(_("%s: Wrong value for input argument #%d: ''%s'' expected.\n"),"zgrid",3,"new"))
end
varargin(3)=null()
rhs=rhs-1
new=%t
end
end
defaultwn=0:0.1:1;
defaultzeta=0:0.1:1;
select rhs
case 0 then //zgrid() or zgrid("new")
wn=defaultwn
zeta = defaultzeta
colors = defaultcolors
case 1 then
zeta = varargin(1)
if type(zeta)<>1|~isreal(zeta) then
error(msprintf(_("%s: Wrong type for input argument #%d : real floating point array expected\n"),"zgrid",1));
end
wn=defaultwn
colors = defaultcolors
case 2 then
zeta = varargin(1)
if type(zeta)<>1|~isreal(zeta) then
error(msprintf(_("%s: Wrong type for input argument #%d : real floating point array expected\n"),"zgrid",1));
end
wn = varargin(2)
if type(wn)<>1|~isreal(wn) then
error(msprintf("%s: Wrong type for input argument #%d : real floating point array expected\n"),"zgrid",2);
end
colors = defaultcolors
case 3 then
zeta = varargin(1)
if type(zeta)<>1|~isreal(zeta) then
error(msprintf(_("%s: Wrong type for input argument #%d : real floating point array expected\n"),"zgrid",1));
end
wn = varargin(2)
if type(wn)<>1|~isreal(wn) then
error(msprintf(_("%s: Wrong type for input argument #%d : real floating point array expected\n"),"zgrid",2));
end
colors = varargin(3);
if type(colors)<>1|~isreal(colors) then
error(msprintf(_("%s: Wrong type for input argument #%d : real floating point array expected\n"),"zgrid",3));
end
if size(colors,"*")==1 then colors=colors*ones(1,2),end
end
wn=wn(wn>0&wn<=1);
zeta=zeta(zeta>=0&zeta<=1);
fig = gcf();
immediate_drawing=fig.immediate_drawing;
fig.immediate_drawing = "off";
axes=gca();drawlater(); show_window();
if new&axes.children<>[] then
delete(axes.children)
end
nc=size(axes.children,"*")
if nc==0 then
axes.data_bounds=defaultbounds
axes.axes_visible="on";
axes.box="on";
axes.title.text=msprintf(_("loci with constant damping and constant natural frequency\nin discrete plane"))
axes.x_label.text=_("Real Axis")
axes.y_label.text=_("Imaginary Axis")
end
axes.fractional_font="on"
axes.font_size=0.5
chart_handles=[]
// 2 2
//roots of s + 2*zeta*wn*s +wn
//given by : wn*(-zeta+-%i*sqrt(1-sxi*zeta))
raci=((0:0.05:1)*%pi)'*(-zeta+%i*sqrt(ones(zeta)-zeta.*zeta))
// continuous --> discrete
raci=exp(raci);[mr,nr]=size(raci);
for l=1:nr,
r=[raci(:,l);conj(raci($:-1:1,l))]
xpoly(real(r),imag(r))
ec=gce();
ec.display_function = "formatZgridDampingTip";
ec.display_function_data = zeta(l);
ec.foreground=colors(1),
ec.line_style=7;
ec.clip_state="clipgrf";
xstring(real(raci(mr-10,l)),-imag(raci(mr-10,l))," "+string(zeta(l)),0,0);
es=gce();
es.font_foreground=colors(1),
es.clip_state="clipgrf";
chart_handles=[glue([es ec]) chart_handles]
end;
e_itheta=exp(%i*(%pi/2:0.05:%pi)')
zw=exp(e_itheta*(wn*%pi));[mz,nz]=size(zw)
for l=1:nz,
z=[zw(:,l);zw($:-1:1,l)];
xpoly(real(z),imag(z))
ec=gce();
ec.display_function = "formatZgridFreqTip";
ec.display_function_data = wn(l);
ec.foreground=colors(2),
ec.line_style=7;
ec.clip_state="clipgrf";
str=msprintf("%0.3gπ/dt",wn(l))
xstring(real(zw(1,l)),imag(zw(1,l)),str,0,0);
es=gce();
es.font_foreground=colors(2),
es.clip_state="clipgrf";
chart_handles=[glue([es ec]) chart_handles]
xpoly(real(z),-imag(z))
ec=gce();
ec.display_function = "formatZgridFreqTip";
ec.display_function_data = wn(l);
ec.foreground=colors(2),
ec.line_style=7;
ec.clip_state="clipgrf";
xstring(real(zw(1,l)),-imag(zw(1,l)),str,0,0);
es=gce();
es.font_foreground=colors(2),
es.clip_state="clipgrf";
chart_handles=[glue([es ec]) chart_handles]
end;
chart_handles=glue(chart_handles)
//reorder axes children to make chart drawn before the previously
// drawn curves if any
for k=1:nc
swap_handles(axes.children(k),axes.children(k+1))
end
if nc==0 then
axes.data_bounds=defaultbounds
end
fig.immediate_drawing = immediate_drawing;
endfunction
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