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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 = drawCube(varargin)
%DRAWCUBE Draw a 3D centered cube, eventually rotated.
%
% drawCube(CUBE)
% Displays a 3D cube on current axis. CUBE is given by:
% [XC YC ZC SIDE THETA PHI PSI]
% where (XC, YC, ZC) is the CUBE center, SIDE is the length of the cube
% main sides, and THETA PHI PSI are angles representing the cube
% orientation, in degrees. THETA is the colatitude of the cube, between 0
% and 90 degrees, PHI is the azimut, and PSI is the rotation angle
% around the axis of the normal.
%
% CUBE can be axis aligned, in this case it should only contain center
% and side information:
% CUBE = [XC YC ZC SIDE]
%
% The function drawCuboid is closely related, but uses a different angle
% convention, and allows for different sizes along directions.
%
% Example
% % Draw a cube with small rotations
% figure; hold on;
% drawCube([10 20 30 50 10 20 30], 'FaceColor', 'g');
% axis equal;
% view(3);
%
% See also
% meshes3d, polyhedra, createCube, drawCuboid
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2011-06-29, using Matlab 7.9.0.529 (R2009b)
% Copyright 2011-2023 INRA - Cepia Software Platform
% extract handle of axis to draw on
[hAx, varargin] = parseAxisHandle(varargin{:});
cube = varargin{1};
varargin(1) = [];
% default values
xc = 0;
yc = 0;
zc = 0;
a = 1;
theta = 0;
phi = 0;
psi = 0;
%% Parses the input
if nargin > 0
% one argument: parses elements
xc = cube(:,1);
yc = cube(:,2);
zc = cube(:,3);
% parses side length if present
if size(cube, 2) >= 4
a = cube(:,4);
end
% parses orientation if present
if size(cube, 2) >= 6
theta = deg2rad(cube(:,5));
phi = deg2rad(cube(:,6));
end
if size(cube, 2) >= 7
psi = deg2rad(cube(:,7));
end
end
%% Compute cube coordinates
% create unit centered cube
[v, f] = createCube;
v = bsxfun(@minus, v, mean(v, 1));
% convert unit basis to cube basis
sca = createScaling3d(a);
rot1 = createRotationOz(psi);
rot2 = createRotationOy(theta);
rot3 = createRotationOz(phi);
tra = createTranslation3d([xc yc zc]);
% concatenate transforms
trans = tra * rot3 * rot2 * rot1 * sca;
% transform mesh vertices
v = transformPoint3d(v, trans);
%% Process output
if nargout == 0
% no output: draw the cube
drawMesh(hAx, v, f, varargin{:});
elseif nargout == 1
% one output: draw the cube and return handle
varargout{1} = drawMesh(hAx, v, f, varargin{:});
elseif nargout == 3
% 3 outputs: return computed coordinates
varargout{1} = v(:,1);
varargout{2} = v(:,2);
varargout{3} = v(:,3);
end
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