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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 = boxToMesh(varargin)
%BOXTOMESH Convert a box into a quad mesh with the same size.
%
% [V E F] = boxToMesh(BOX)
% Create a box as a polyhedra representation. The box is defined by its
% coordinate extents: BOX = [XMIN XMAX YMIN YMAX ZMIN ZMAX]
% The result has the form [V E F], where V is a 8-by-3 array with vertex
% 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] = boxToMesh(BOX)
% Returns only the vertices and the face vertex indices.
%
% MESH = boxToMesh(BOX)
% Returns the data as a mesh structure, with fields 'vertices', 'edges'
% and 'faces'.
%
% ... = boxToMesh()
% Creates a unit cube
%
% Example
% [v, f] = boxToMesh([-2 -1 0 pi 2 3])
% drawMesh(v, f);
%
% See also
% meshes3d, drawMesh, triangulateFaces
% ------
% Authors: David Legland, oqilipo
% E-mail: david.legland@inrae.fr
% Created: 2016-09-22
% Copyright 2016-2023
p = inputParser;
boxDefault = [0 1 0 1 0 1];
boxDatatype = {'numeric'};
boxAttribs = {'nonempty','vector','numel',6,'real','finite'};
addOptional(p,'box',boxDefault,@(x)validateattributes(x,boxDatatype,boxAttribs))
parse(p,varargin{:})
xmin = p.Results.box(1);
xmax = p.Results.box(2);
ymin = p.Results.box(3);
ymax = p.Results.box(4);
zmin = p.Results.box(5);
zmax = p.Results.box(6);
vertices = [...
xmin, ymin, zmin; ...
xmax, ymin, zmin; ...
xmin, ymax, zmin; ...
xmax, ymax, zmin; ...
xmin, ymin, zmax; ...
xmax, ymin, zmax; ...
xmin, ymax, zmax; ...
xmax, ymax, zmax; ...
];
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 = [2 4 3 1;7 8 6 5;6 8 4 2;3 7 5 1;5 6 2 1;4 8 7 3];
% format output
varargout = formatMeshOutput(nargout, vertices, edges, faces);
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