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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) INRIA
// Copyright (C) 2010 - DIGITEO - Manuel Juliachs
// 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 polarplot(theta,rho,style,strf,leg,rect)
[lhs,rhs]=argn(0)
if rhs<=0 then
theta=0:.01:2*%pi;
rho=sin(2*theta).*cos(2*theta)
clf();
polarplot(theta,rho)
return
end
if size(theta,1)==1 then
theta=theta(:),
end
if size(rho,1)==1 then
rho=rho(:),
end
rm=max(abs(rho))
x=rho.*cos(theta)
y=rho.*sin(theta)
opts=[]
isstrf=%f;
isframeflag=%f;
isrect=%f;
if exists("style","local")==1 then
opts=[opts,"style=style"]
end
if exists("strf","local")==1 then
opts=[opts,"strf=strf"]
isstrf=%t
end
if exists("leg","local")==1 then
opts=[opts,"leg=leg"]
end
if exists("rect","local")==1 then
opts=[opts,"rect=rect"]
isrect=%t
end
if exists("frameflag","local")==1 then
opts=[opts,"frameflag=frameflag"]
isframeflag=%t
end
if size(opts,2)<rhs-2 then
error(msprintf(gettext("%s: Wrong value for input argument: ''%s'', ''%s'', ''%s'', ''%s'' or ''%s'' expected.\n"),"polarplot","style","strf","leg","rect","frameflag"));
end
// Some default values:
Amin=0 // starting angle for the frame
dA=360 // span of the angular frame
nn=4 // number of quadrants to be drawn
xmin=min(x);
xmax=max(x);
L=(xmax-xmin)*1.07;
ymin=min(y);
ymax=max(y);
H=(ymax-ymin)*1.07;
// Angle at which Radial labels will be displayed
A=round(atan((ymin+ymax)/2,(xmin+xmax)/2)/%pi*180/45)*45;
dx=-0.5, dy=-0.5 // H & V shifts in string-width and string-height units
// Case without rect=
if ~isrect then
// Determines quadrant(s) to be drawn
Q=[%T %T %T %T];
e=rm/500;
if min(x)<-e then
xmin=-rm;
else
xmin=0; Q([2 3])=%F;
end
if max(x)>e then
xmax= rm;
else
xmax=0; Q([1 4])=%F;
end
if min(y)<-e then
ymin=-rm;
else
ymin=0; Q([3 4])=%F;
end
if max(y)>e then
ymax= rm;
else
ymax=0; Q([1 2])=%F;
end
L=(xmax-xmin)*1.1; if L==0, L=2*rm*1.1; end
H=(ymax-ymin)*1.1; if H==0, H=2*rm*1.1; end
x0=(xmin+xmax)/2; y0=(ymin+ymax)/2;
rect=[x0-L/2 y0-H/2 x0+L/2 y0+H/2]
// Special case: data aligned on the x or y axis
if Q==[%F %F %F %F],
if (ymax-ymin)<2*e, // on x axis
if xmin<-e then
Q([2 3])=%T
end
if xmax> e then
Q([1 4])=%T
end
else // on y axis
if ymin<-e then
Q([3 4])=%T
end
if ymax> e then
Q([1 2])=%T
end
end
end
n=find(Q); // id numbers of quadrants to be drawn
nn=length(n) // number of quadrants to be drawn
Amin=(n(1)-1)*90
select nn
case 1,
dA=90;
if n==1, A=90, dx=-1.1, dy=-0.5
elseif n==2, A=90, dx=0.2, dy=-0.5
elseif n==3, A=270, dx=0.2, dy=-0.5
else A=270, dx=-1.1, dy=-0.5
end
case 2
dA=180;
if n(1)==1
if n(2)==2, //A=90, dx=0.1, dy=-0.5
else Amin=-90, A=90, dx=-1.2, dy=-0.5, end
elseif n(1)==2, A=90, dx=0.2, dy=-0.5
else A=0, dx=-0.5, dy=0.2
end
else
Amin=0, dA=360
end
opts=[opts,"rect=rect"]
end // if ~isrect
if isstrf& isframeflag then
error(msprintf(gettext("%s: ''%s'' cannot be used with ''%s''.\n"),"polarplot","frameflag","strf"));
end
if ~(isstrf) then
axesflag=0
opts=[opts,"axesflag=axesflag"],
end
if ~(isstrf|isframeflag) then
frameflag=4
opts=[opts,"frameflag=frameflag"],
end
drawlater()
execstr("plot2d(x,y,"+strcat(opts,",")+")")
fcolor=color("grey70");
xset("dashes",1)
// CIRCULAR FRAME:
// Radial values for the frame:
fmt_in=format(), format("v",9)
// Tunning for smart values:
p=floor(log10(abs(rm)));
m=rm/10^p;
if m<1.3, dm=0.2
elseif m<=2, dm=0.3
elseif m<4, dm=0.5
else dm=1,
end
k=fix(m/dm)
if m-k*dm < dm/5, k=k-1, end
R=[(1:k)*dm*10^p ]
// Tuning for smart 10^ display using LaTeX instead of D+## exponential display
if abs(p)<4,
Rtxt=string(R)
[v,k]=max(length(Rtxt)), tmp=xstringl(0,0,Rtxt(k))
else
if dm<1, dm=dm*10, p=p-1, end
tmp=string(R/10^p)+"108"
[v,k]=max(length(tmp)), tmp=xstringl(0,0,tmp(k))
Rtxt="$\scriptstyle "+string(R/10^p)+"\:.10^{"+string(p)+"}$";
end
w=tmp(3); h=tmp(4);
format(fmt_in(2),fmt_in(1)) // Restoring entrance format
R = [ R rm ]
// Drawing & labelling the radial frame
kM=size(R,"*");
for k=1:kM
r=R(k)
xarc(-r,r,2*r,2*r,Amin*64,dA*64)
e = gce();,e.line_style=3
e.foreground=fcolor;
if k==kM
e.line_style=1; // solid outer arc
else
xstring(r*cosd(A)+w*dx, r*sind(A)+h*dy, Rtxt(k))
e = gce();
e.clip_state = "off";
end
end
// ANGULAR FRAME:
if nn<3, eA=10, else eA=30; end // adaptative angular sampling
an=linspace(Amin,Amin+dA,round(dA/eA)+1);
// avoiding 360 == 0
if nn>2, tmp=find(abs(an-360)<eA/10); an(tmp)=[]; end
// Adjusting H-shifts of angular labels
tmp=xstringl(0,0,"360");
w=tmp(3); h=tmp(4);
rL=rm*1.03; // Radius of angular labels
for k=an // draws and labels angular rays
xsegs([0;rm*cosd(k)],[0;rm*sind(k)])
e = gce(); e.segs_color=fcolor; e.line_style=3;
xstring((rL+w/2)*cosd(k)-w/2, (rL+h/2)*sind(k)-h/2, string(k))
e = gce();
e.clip_state = "off";
end
a=gca();
a.data_bounds=[rect(1:2);rect(3:4)]
a.margins=[0.07 0.07 0.12 0.07]
drawnow()
endfunction
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