/usr/share/octave/packages/geometry-1.7.0/geom3d/drawTorus.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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## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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## -*- texinfo -*-
## @deftypefn {Function File} {} drawTorus (@var{torus})
## Draw a torus (3D ring)
##
## drawTorus(TORUS)
## Draws the torus on the current axis. TORUS is given by
## [XC YC ZY R1 R2 THETA PHI]
## where (XC YZ ZC) is the center of the torus, R1 is the main radius, R2
## is the radius of the torus section, and (THETA PHI) is the angle of the
## torus normal vector (both in degrees).
##
## Example
## @example
## figure;
## drawTorus([50 50 50 30 10 30 45]);
## axis equal;
## @end example
##
## @seealso{drawEllipsoid, revolutionSurface}
## @end deftypefn
function varargout = drawTorus(torus, varargin)
center = torus(1:3);
r1 = torus(4);
r2 = torus(5);
if size(torus, 2) >= 7
normal = torus(6:7);
end
# default drawing options
varargin = [{'FaceColor', 'g'}, varargin];
# create base torus
circle = circleAsPolygon ([r1 0 r2], 60);
[x y z] = revolutionSurface (circle, linspace(0, 2*pi, 60));
# transform torus
trans = localToGlobal3d ([center normal]);
[x y z] = transformPoint3d (x, y, z, trans);
# draw the surface
hs = surf(x, y, z, varargin{:});
if nargout > 0
varargout = {hs};
end
endfunction
%!demo
%! figure;
%! drawTorus([50 50 50 30 10 30 45]);
%! axis square equal;
%! view(45,40);
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