/usr/share/octave/packages/geometry-1.7.0/geom2d/isPointOnRay.m is in octave-geometry 1.7.0-1build1.
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## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## 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
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##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
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## 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.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{b} = } isPointOnRay (@var{point}, @var{ray})
## @deftypefnx {Function File} {@var{b} = } isPointOnRay (@var{point}, @var{ray}, @var{tol})
## Test if a point belongs to a ray
##
## @var{b} = isPointOnRay(@var{point}, @var{ray});
## Returns @code{true} if point @var{point} belongs to the ray @var{ray}.
## @var{point} is given by [x y] and RAY by [x0 y0 dx dy]. @var{tol} gives the
## tolerance for the calculations.
##
## @seealso{rays2d, points2d, isPointOnLine}
## @end deftypefn
function b = isPointOnRay(point, ray, varargin)
# 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 ) ./ hypot(dx, 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);
endfunction
%!shared ray
%! p1 = [10 20];
%! p2 = [80 20];
%! ray = createRay (p1, p2);
%!assert (isPointOnRay([10 20], ray));
%!assert (isPointOnRay([80 20], ray));
%!assert (isPointOnRay([50 20], ray));
%!assert (isPointOnRay([50 20+1e-3], ray,1e-2));
%!assert ( !isPointOnRay([50 20+1e-3], ray,1e-4));
%!assert ( !isPointOnRay([9.99 20], ray));
%!assert ( !isPointOnRay([80 20.01], ray));
%!assert ( !isPointOnRay([50 21], ray));
%!assert ( !isPointOnRay([79 19], ray));
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