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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 b = isPointOnRay(point, ray, varargin)
%ISPOINTONRAY Test if a point belongs to a ray.
%
% B = isPointOnRay(PT, RAY);
% Returns 1 if point PT belongs to the ray RAY.
% PT is given by [x y] and RAY by [x0 y0 dx dy].
%
% If PT is a N-by-2 array, and RAY is a M-by-4 array, then the result is
% a N-by-M array containing the result of each pair-wise test.
%
% B = isPointOnRay(PT, RAY, TOL);
% Specifies the tolerance to use for testing if point is on the ray.
%
% Example
% ray = [10 20 3 4];
% % test for a point on the ray
% p1 = [16 28];
% isPointOnRay(p1, ray)
% ans =
% logical
% 0
% % test for a point on the supporting line but "before" the origin
% p2 = [7 16];
% isPointOnRay(p1, ray)
% ans =
% logical
% 0
%
% See also
% rays2d, points2d, isPointOnLine, isPointOnEdge
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2003-10-31
% Copyright 2003-2023 INRA - TPV URPOI - BIA IMASTE
% extract computation tolerance
tol = 1e-14;
if ~isempty(varargin)
tol = varargin{1};
end
% number of rays and points
Nr = size(ray, 1);
Np = size(point, 1);
% if several rays or several points, adapt sizes of arrays
x0 = repmat(ray(:,1)', Np, 1);
y0 = repmat(ray(:,2)', Np, 1);
dx = repmat(ray(:,3)', Np, 1);
dy = repmat(ray(:,4)', Np, 1);
xp = repmat(point(:,1), 1, Nr);
yp = repmat(point(:,2), 1, Nr);
% test if points belongs to the supporting line
b1 = abs((xp-x0).*dy - (yp-y0).*dx) ./ (dx.*dx + dy.*dy) < tol;
% check if points lie the good direction on the rays
ind = abs(dx) > abs(dy);
t = zeros(size(b1));
t(ind) = (xp(ind) - x0(ind)) ./ dx(ind);
t(~ind) = (yp(~ind) - y0(~ind)) ./ dy(~ind);
% combine the two tests
b = b1 & (t >= 0);
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