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-## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
-## 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
-##       notice, this list of conditions and the following disclaimer in the
-##       documentation and/or other materials provided with the distribution.
-##
-## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
-## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
-## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
-## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
-## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-## -*- texinfo -*-
-## @deftypefn {Function File} {@var{pos} =} circle3dPosition(@var{point}, @var{circle})
-## Return the angular position of a point on a 3D circle
-##
-##   Returns angular position of point on the circle, in degrees, between 0
-##   and 360.
-##   with @var{point}: [xp yp zp]
-##   and @var{circle}: [X0 Y0 Z0 R THETA PHI] or [X0 Y0 Z0 R THETA PHI PSI]
-##   (THETA being the colatitude, and PHI the azimut)
-##
-## @seealso{circles3d, circle3dOrigin, circle3dPoint}
-## @end deftypefn
-
-function theta = circle3dPosition(point, circle)
-
-  # get center and radius
-  xc = circle(:,1);
-  yc = circle(:,2);
-  zc = circle(:,3);
-
-  # get angle of normal
-  theta   = circle(:,5);
-  phi     = circle(:,6);
-
-  # find origin of the circle
-  ori     = circle3dOrigin(circle);
-
-  # normal vector of the supporting plane (cartesian coords)
-  vn      = sph2cart2d([theta phi]);
-
-  # create plane containing the circle
-  plane   = createPlane([xc yc zc], vn);
-
-  # find position of point on the circle plane
-  pp0     = planePosition(ori,    plane);
-  pp      = planePosition(point,  plane);
-
-  # compute angles in the planes
-  theta0  = mod(atan2(pp0(:,2), pp0(:,1)) + 2*pi, 2*pi);
-  theta   = mod(atan2(pp(:,2), pp(:,1)) + 2*pi - theta0, 2*pi);
-
-  # convert to degrees
-  theta = theta * 180 / pi;
-
-endfunction