/usr/share/octave/packages/geometry-1.7.0/polygons2d/supportFunction.m is in octave-geometry 1.7.0-1build1.
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## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
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## -*- texinfo -*-
## @deftypefn {Function File} {@var{h} = } suppportFunction (@var{polygon})
## @deftypefnx {Function File} {@var{h} = } suppportFunction (@var{polygon}, @var{n})
## @deftypefnx {Function File} {@var{h} = } suppportFunction (@var{polygon}, @var{v})
## Compute support function of a polygon
##
## H = supportFunction(POLYGON, N)
## uses N points for suport function approximation
##
## H = supportFunction(POLYGON)
## assume 24 points for approximation
##
## H = supportFunction(POLYGON, V)
## where V is a vector, uses vector V of angles to compute support
## function.
##
## @seealso{convexification}
## @end deftypefn
function h = supportFunction(polygon, varargin)
N = 24;
u = (0:2*pi/N:2*pi*(1-1/N)).';
if length(varargin)==1
var = varargin{1};
if length(var)==1
N = var;
u = (0:2*pi/N:2*pi*(1-1/N)).';
else
u = var(:);
end
end
h = zeros(size(u));
for i=1:length(u)
v = repmat([cos(u(i)) sin(u(i))], [size(polygon, 1), 1]);
h(i) = max(dot(polygon, v, 2));
end
endfunction
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