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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 = polygonContains(poly, point)
%POLYGONCONTAINS Test if a point is contained in a multiply connected polygon.
%
% B = polygonContains(POLYGON, POINT);
% Returns TRUE if the (possibly multi-connected) polygon POLYGON contains
% the point(s) given by POINT.
% This is an extension of the Matlab function inpolygon for the case of
% polygons with holes.
%
% Example
% POLY = [0 0; 10 0;10 10;0 10;NaN NaN;3 3;3 7;7 7;7 3];
% PT = [5 1;5 4];
% polygonContains(POLY, PT);
% ans =
% 1
% 0
%
% See also
% polygons2d, inpolygon, isPointInPolygon
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2007-10-11, using Matlab 7.4.0.287 (R2007a)
% Copyright 2007-2023 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas
% transform as a cell array of simple polygons
polygons = splitPolygons(poly);
N = length(polygons);
Np = size(point, 1);
% compute orientation of polygon, and format to have Np*N matrix
areas = zeros(N, 1);
for i = 1:N
areas(i) = polygonArea(polygons{i});
end
ccw = areas > 0;
ccw = repmat(ccw', Np, 1);
% test if point inside each polygon
in = false(size(point, 1), N);
for i = 1:N
poly = polygons{i};
in(:, i) = inpolygon(point(:,1), point(:,2), poly(:,1), poly(:,2));
end
% count polygons containing point, weighted by polygon orientation
res = sum(in.*(ccw==1) - in.*(ccw==0), 2);
varargout{1} = res;
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