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## Copyright (C) 2024 David Legland
## 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.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
function varargout = drawTorus(varargin)
%DRAWTORUS 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).
%
% drawTorus(..., PNAME, PVALUE)
% Specifies a set of parameter name-value pairs. Parameter names include
% plitting options ('facecolor', 'linestyle'...), or options specific to
% torus:
% 'nPhi' number of meridians used to draw the torus (default is 60).
% 'nTheta' number of parallels used to draw the torus (default is 60).
%
%
% Example
% % draw sample torus
% figure;
% drawTorus([50 50 50 30 10 30 45]);
% axis equal; view([95 10]); light;
%
% See also
% drawEllipsoid, revolutionSurface, torusMesh
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2011-06-22, using Matlab 7.9.0.529 (R2009b)
% Copyright 2011-2023 INRA - Cepia Software Platform
%% Default values
% number of meridians
nPhi = 60;
% number of parallels
nTheta = 60;
%% Extract input arguments
% extract handle of axis to draw on
[hAx, varargin] = parseAxisHandle(varargin{:});
torus = varargin{1};
varargin(1) = [];
center = torus(:, 1:3);
r1 = torus(:, 4);
r2 = torus(:, 5);
nTorus = size(center, 1);
normal = zeros(nTorus, 2);
if size(torus, 2) >= 7
normal = torus(:, 6:7);
end
% default set of options for drawing meshes
options = {'FaceColor', 'g', 'linestyle', 'none'};
while length(varargin) > 1
switch lower(varargin{1})
case 'nphi'
nPhi = varargin{2};
case 'ntheta'
nTheta = varargin{2};
otherwise
% assumes this is drawing option
options = [options varargin(1:2)]; %#ok<AGROW>
end
varargin(1:2) = [];
end
%% Draw the torus
% allocate array of handles
hs = gobjects(1, nTorus);
% save hold state
holdState = ishold(hAx);
hold(hAx, 'on');
% iteate over torusses
for i = 1:nTorus
% create base torus
circle = circleToPolygon([r1(i) 0 r2(i)], nTheta);
[x, y, z] = revolutionSurface(circle, linspace(0, 2*pi, nPhi));
% transform torus
trans = localToGlobal3d([center(i,:) normal(i,:)]);
[x, y, z] = transformPoint3d(x, y, z, trans);
% draw the surface
hs(i) = surf(hAx, x, y, z, options{:});
end
% restore hold state
if ~holdState
hold(hAx, 'off');
end
%% Process output arguments
if nargout > 0
varargout = {hs};
end
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