function [p,e,Hmin,factor]=pdemgeom(g,Hmax)
%PDEMGEOM Sort out geometry.

%       L. Langemyr 11-25-94, LL 8-24-95.
%       Copyright (c) 1994-98 by The MathWorks, Inc.
%       $Revision: 1.7 $  $Date: 1997/11/25 17:06:00 $

nbs=pdeigeom(g); % Number of boundary segments
d=pdeigeom(g,1:nbs); % BS data

i=find(d(3,:)==0 | d(4,:)==0); % BS:s on the boundary
d(7,i)=d(3,i)+d(4,i); % The region it bounds

% Start to identify points
[x,y]=pdeigeom(g,[1:nbs;1:nbs],d(1:2,:));

small=10000*eps; % Equality tolerance
scale=max(max(max(abs(x))),max(max(abs(y))));
tol=small*scale;
atol=1e-6; % Angle tolerance

p=[x(1,1);y(1,1)]; % A first point
np=1;

for i=1:nbs,
  for j=1:2,
    xy=[x(j,i);y(j,i)];
    l=find(sum(abs(p(1:2,:)-xy*ones(1,size(p,2))))<tol);
    if isempty(l),
      p=[p [xy]];                       % New point
      np=np+1;
      d(4+j,i)=np;
    else
      d(4+j,i)=l;                       % Old point
    end
  end
end
% Row 5 and 6 of d now contains indices of starting and ending points
% of each BS

ds=0.0001*(d(2,:)-d(1,:));
[x,y]=pdeigeom(g,ones(2,1)*(1:nbs),[d(1,:);d(1,:)+ds]);
x=reshape(x,2,nbs);
y=reshape(y,2,nbs);
factor=sqrt((x(2,:)-x(1,:)).^2+(y(2,:)-y(1,:)).^2)./ds;

% Check for curved boundary - these must be split in two edges
% in order to preserve topology for coarse mesh
cur=abs(atan2(y(2,:)-y(1,:),x(2,:)-x(1,:))-...
        atan2(p(2,d(6,:))-p(2,d(5,:)),p(1,d(6,:))-p(1,d(5,:))))>atol;

bb=[];
ss=[];
e=[];

m=size(p,2)+1;

for i=1:nbs
  if cur(i)
    n=2;
  else
    n=1;
  end
  s=linspace(d(1,i),d(2,i),n+1);
  bb=[bb;i*ones(n-1,1)];
  ss=[ss;s(2:n)'];
  e=[e [[d(5,i) m:m+n-2]
        [m:m+n-2 d(6,i)]
         s(1:n)
         s(2:n+1)
        [i,d(3,i),d(4,i)]'*ones(1,n)]];
  m=m+n-1;
end

[x,y]=pdeigeom(g,bb,ss);

p=[p,[x';y']];

Hmin=min((d(2,:)-d(1,:)).*factor);

