/usr/share/octave/packages/geometry-1.7.0/geom3d/circle3dOrigin.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
## 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
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## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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## 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{p} =} circle3dOrigin([@var{xc} @var{yc} @var{zc} @var{r} @var{theta} @var{phi}])
## @deftypefnx {Function File} {@var{p} =} circle3dOrigin([@var{xc} @var{yc} @var{zc} @var{r} @var{theta} @var{phi} @var{psi}])
## Return the first point of a 3D circle
##
## Returns the origin point of the circle, i.e. the first point used for
## drawing circle.
##
## @seealso{circles3d, points3d, circle3dPosition}
## @end deftypefn
function ori = circle3dOrigin(varargin)
# get center and radius
circle = varargin{1};
xc = circle(:,1);
yc = circle(:,2);
zc = circle(:,3);
r = circle(:,4);
# get angle of normal
theta = circle(:,5);
phi = circle(:,6);
# get roll
if size(circle, 2)==7
psi = circle(:,7);
else
psi = zeros(size(circle, 1), 1);
end
# create origin point
pt0 = [r 0 0];
# compute transformation from local basis to world basis
trans = localToGlobal3d(xc, yc, zc, theta, phi, psi);
# transform the point
ori = transformPoint3d(pt0, trans);
endfunction
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