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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 = createCube()
%CREATECUBE Create a 3D mesh representing the unit cube.
%
% [V, E, F] = createCube
% Create a unit cube, as a polyhedra representation.
% c has the form [V E F], where V is a 8-by-3 array with vertices
% coordinates, E is a 12-by-2 array containing indices of neighbour
% vertices, and F is a 6-by-4 array containing vertices array of each
% face.
%
% [V, F] = createCube;
% Returns only the vertices and the face vertex indices.
%
% MESH = createCube;
% Returns the data as a mesh structure, with fields 'vertices', 'edges'
% and 'faces'.
%
% Example
% [n, e, f] = createCube;
% drawMesh(n, f);
%
% See also
% meshes3d, drawMesh
% createOctahedron, createTetrahedron, createDodecahedron
% createIcosahedron, createCubeOctahedron
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2005-02-10
% Copyright 2005-2023 INRA - TPV URPOI - BIA IMASTE
x0 = 0; dx= 1;
y0 = 0; dy= 1;
z0 = 0; dz= 1;
nodes = [...
x0 y0 z0; ...
x0+dx y0 z0; ...
x0 y0+dy z0; ...
x0+dx y0+dy z0; ...
x0 y0 z0+dz; ...
x0+dx y0 z0+dz; ...
x0 y0+dy z0+dz; ...
x0+dx y0+dy z0+dz];
edges = [1 2;1 3;1 5;2 4;2 6;3 4;3 7;4 8;5 6;5 7;6 8;7 8];
% faces are oriented such that normals point outwards
faces = [1 3 4 2;5 6 8 7;2 4 8 6;1 5 7 3;1 2 6 5;3 7 8 4];
% format output
varargout = formatMeshOutput(nargout, nodes, edges, faces);
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