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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 res = isPointInMesh(point, v, f, varargin)
%ISPOINTINMESH Check if a point is inside a 3D mesh.
%
% B = isPointInMesh(PT, V, F)
% Check if the point PT (given as a 1-by-3 array) is inside the mesh
% defined by the vertices V and the face array F. The result is a
% boolean.
%
% If PT is a N-by-3 point array, the result is a N-by-1 array of logical.
%
% Example
% [v, f] = torusMesh([50 50 50 30 10 30 45]);
% [x, y, z] = meshgrid(5:5:100, 5:5:100, 5:5:100);
% res = false(size(x));
% res(:) = isPointInMesh([x(:) y(:) z(:)], v, f);
% figure; plot3(x(res), y(res), z(res), 'b.'); axis equal;
%
% Algorithm:
% The method computes the intersection with a ray starting from the
% point(s) and with a random orientation. Some errors are possible if
% rays crosses the mesh between two or three faces.
%
% See also
% meshes3d, intersectLineMesh3d
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2018-01-26, using Matlab 9.3.0.713579 (R2017b)
% Copyright 2018-2023 INRA - Cepia Software Platform
% choose a random vector
vect = rand(1, 3);
% initialize array for result
np = size(point, 1);
res = false(np, 1);
% iterate over the various points
for i = 1:np
% disp(i);
line = createLine3d(point(i,:), vect);
[inters, pos] = intersectLineMesh3d(line, v, f); %#ok<ASGLU>
res(i) = mod(sum(pos > 0), 2) > 0;
end
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