%% Copyright (c) 2011, INRA
%% 2006-2011, 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} = } circleArcAsCurve (@var{arc}, @var{N})
%% Convert a circle arc into a series of points
%%
%%   P = circleArcAsCurve(ARC, N);
%%   convert the circle ARC into a series of N points. 
%%   ARC is given in the format: [XC YC R THETA1 DTHETA]
%%   where XC and YC define the center of the circle, R its radius, THETA1
%%   is the start of the arc and DTHETA is the angle extent of the arc. Both
%%   angles are given in degrees. 
%%   N is the number of vertices of the resulting polyline, default is 65.
%%
%%   The result is a N-by-2 array containing coordinates of the N points. 
%%
%%   [X Y] = circleArcAsCurve(ARC, N);
%%   Return the result in two separate arrays with N lines and 1 column.
%%
%%
%%   @seealso{circles2d, circleAsPolygon, drawCircle, drawPolygon}
%% @end deftypefn

function varargout = circleArcAsCurve(arc, N)

  % default value for N
  if nargin < 2
      N = 65;
  end

  % vector of positions
  t0 = deg2rad(arc(4));
  t1 = t0 + deg2rad(arc(5));
  t = linspace(t0, t1, N)';

  % compute coordinates of vertices
  x = arc(1) + arc(3) * cos(t);
  y = arc(2) + arc(3) * sin(t);

  % format output
  if nargout <= 1
      varargout = {[x y]};
  else
      varargout = {x, y};
  end

endfunction

