File: polygonBounds.m

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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 box = polygonBounds(polygon)
%POLYGONBOUNDS Computes the bounding box of a polygon.
%
%   BOX = polygonBounds(POLY);
%   Returns the bounding box of the polygon. 
%   BOX has the format: [XMIN XMAX YMIN YMAX].
%
%   Input polygon POLY is as a N-by-2 array containing coordinates of each
%   vertex. 
%   Multiple polygons can be specified either by inserting NaN rows between
%   vertex coordinates, or by using a cell array, each cell containing the
%   vertex coordinates of a polygon loop. 
%
%   See also 
%   polygons2d, boxes2d, boundingBox
%

% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2007-10-12, using Matlab 7.4.0.287 (R2007a)
% Copyright 2007-2023 INRA - Cepia software platform

% transform as a cell array of simple polygons
polygons = splitPolygons(polygon);

% init extreme values
xmin = inf;
xmax = -inf;
ymin = inf;
ymax = -inf;

% iterate over loops
for i = 1:length(polygons)
    polygon = polygons{i};
    
    xmin = min(xmin, min(polygon(:,1)));
    xmax = max(xmax, max(polygon(:,1)));
    ymin = min(ymin, min(polygon(:,2)));
    ymax = max(ymax, max(polygon(:,2)));
end

% format output
box = [xmin xmax ymin ymax];