/usr/share/octave/packages/geometry-1.7.0/geom2d/circleArcAsCurve.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:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
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## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
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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
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