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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 2011 - INRIA - Serge Steer <serge.steer@inria.fr>
//
// 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 comet(varargin)
//Comet-like trajectory.
// comet(y) displays an animated comet plot of the vector y.
// comet(x,y) displays an animated comet plot of vector y vs. x.
// comet(x,y,p) uses a comet of length p*size(y,'*'). Default is p = 0.1.
// Example:
// t = linspace(0,10*%pi,500);
// clf();comet(t.*sin(t),t.*cos(t))
//
// function y=traj(x),y=1.5*sin(x^2),endfunction
// clf();comet(linspace(0,5,500),traj)
//
// clf();comet(linspace(-2,4,500),(%s-3)/(%s^3+2*%s^2+1))
nv=size(varargin)
if nv>=3&varargin(nv-1)=="colors" then
c=round(varargin(nv))
if type(c)<>1|~isreal(c) then
error(msprintf(_("%s: Wrong type for argument #%d: Real vector expected.\n"),"comet",nv))
end
varargin=list(varargin(1:$-2))
else
c=[]
end
select size(varargin)
case 1 then //y
y=varargin(1)
if or(size(y)==1) then
x=1:size(y,"*")
else
x=1:size(y,1)
end
p=0.1
case 2 then //x,y
[x,y]=varargin(1:2)
p=0.1
case 3 then //x,y,p
[x,y,p]=varargin(1:3)
else
error(msprintf(_("%s: Wrong number of input arguments: %d to %d expected.\n"),"comet",1,3))
end
if type(x)<>1|~isreal(x) then
error(msprintf(_("%s: Wrong type for argument #%d: Real vector expected.\n"),"comet",1))
end
if or(type(y)==[11 13]) then //a function
prot=funcprot();funcprot(0)
y=feval(x,y)
funcprot(prot)
elseif type(y)==2 then //a polynomial
y=horner(y,x)
elseif typeof(y)=="rational" then //a rational fraction
y=horner(y,x)
end
if type(y)<>1|~isreal(y) then
error(msprintf(_("%s: Wrong type for argument #%d: Real vector expected.\n"),"comet",2))
end
if type(p)<>1|~isreal(p)|size(p,"*")>1 then
error(msprintf(_("%s: Wrong type for argument #%d: Real scalar expected.\n"),"comet",3))
end
if p<0|p>=1 then
error(msprintf(_("%s: Wrong value for input argument #%d: Must be in the interval %s.\n"),"comet",3,"[0 1["))
end
if or(size(x)==1) then
x=x(:)
n=size(x,1)
if or(size(y)==1) then
if n<>size(y,"*") then
error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same sizes expected.\n"),"comet",1,2))
end
y=y(:)
m=1
else
m=size(y,2)
if size(y,1)<>n then
error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same number of rows expected.\n"),"comet",1,2))
end
x=x*ones(1,m)
end
else
n=size(x,1)
m=size(x,2)
if or(size(y)<>size(x)) then
error(msprintf(_("%s: Incompatible input arguments #%d and #%d: Same sizes expected.\n"),"comet",1,2))
end
end
fig=gcf();
if c==[] then
c=1:m
else
if size(c,"*")<>m then
error(msprintf(_("%s: Wrong size for argument #%d: %d expected.\n"),"comet",nv,m))
end
if min(c)<1|max(c)>size(fig.color_map,1) then
error(msprintf(_( "%s: Wrong value for input argument #%d: Must be in the set {%s}.\n"),"comet",nv,"1,...,"+string(size(fig.color_map,1))))
end
end
axes=gca();
if axes.children==[] then
axes.data_bounds=[min(x) min(y);max(x) max(y)];
axes.axes_visible="on";
else
axes.data_bounds=[min(axes.data_bounds(1,:), [min(x) min(y)]);
max(axes.data_bounds(2,:), [max(x) max(y)])];
end
//create the head, body and tail polylines
drawlater()
tail=[];body=[];head=[];
for l=1:m
xpoly([],[]);tail(l)=gce();
tail(l).foreground=c(l);
xpoly([],[]);body(l)=gce();
body(l).foreground=c(l);
body(l).thickness=2;
xpoly([],[],"marks");head(l)=gce();
head(l).mark_size_unit="point";
head(l).mark_size=6;
head(l).mark_style=9;
head(l).mark_foreground=c(l);
end
show_window();
function anim()
//animation loop
k = round(p*n);
step=ceil(n/200); //used to speed up the drawing
for i=1:n
for l=1:m
head(l).data=[x(i,l),y(i,l)];
if i<=k then
body(l).data= [body(l).data;[x(i,l),y(i,l)]];
else
body(l).data= [body(l).data(2:$,:);[x(i,l),y(i,l)]];
tail(l).data=[ tail(l).data;[x(i-k+1,l),y(i-k+1,l)]];
end
end
if modulo(i,step)==0 then
fig.immediate_drawing = "on"
fig.immediate_drawing = "off"
end
end
fig.immediate_drawing = "on"
fig.immediate_drawing = "off"
for i=1:k
for l=1:m
body(l).data= body(l).data(2:$,:);
tail(l).data=[tail(l).data;[x(n-k+i,l),y(n-k+i,l)]];
end
if modulo(i,step)==0 then
fig.immediate_drawing = "on"
fig.immediate_drawing = "off"
end
end
fig.immediate_drawing = "on"
delete(body)
endfunction
//not to generate an error message if the window is closed
exec(anim, "errcatch", -1);
endfunction
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