%% Copyright (c) 2011, INRA
%% 2005-2011, David Legland <david.legland@grignon.inra.fr>
%% 2011 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
%%
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%% -*- texinfo -*-
%% @deftypefn {Function File} {@var{P} = } circleAsPolygon (@var{circle}, @var{N})
%% Convert a circle into a series of points
%%
%%   P = circleAsPolygon(CIRCLE, N);
%%   convert circle given as [x0 y0 r], where x0 and y0 are coordinate of
%%   center, and r is the radius, into an array of  [(N+1)x2] double, 
%%   containing x and y values of points. 
%%   The polygon is closed
%%
%%   P = circleAsPolygon(CIRCLE);
%%   uses a default value of N=64 points
%%
%%   Example
%%   circle = circleAsPolygon([10 0 5], 16);
%%   figure;
%%   drawPolygon(circle);
%%
%%   @seealso{circles2d, polygons2d, createCircle}
%% @end deftypefn

function varargout = circleAsPolygon(circle, varargin)
  % determines number of points
  N = 64;
  if ~isempty(varargin)
      N = varargin{1};
  end

  % create circle
  t = linspace(0, 2*pi, N+1)';
  x = circle(1) + circle(3)*cos(t);
  y = circle(2) + circle(3)*sin(t);

  if nargout==1
      varargout{1}=[x y];
  elseif nargout==2
      varargout{1}=x;
      varargout{2}=y;    
  end

endfunction
