/usr/share/octave/packages/geometry-1.7.0/geom3d/planePosition.m is in octave-geometry 1.7.0-1build1.
This file is owned by root:root, with mode 0o644.
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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
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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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## -*- texinfo -*-
## @deftypefn {Function File} {@var{pt2} =} planePosition (@var{point}, @var{plane})
## Compute position of a point on a plane
##
## PT2 = planePosition(POINT, PLANE)
## POINT has format [X Y Z], and plane has format
## [X0 Y0 Z0 DX1 DY1 DZ1 DX2 DY2 DZ2], where :
## - (X0, Y0, Z0) is a point belonging to the plane
## - (DX1, DY1, DZ1) is a first direction vector
## - (DX2, DY2, DZ2) is a second direction vector
##
## Result PT2 has the form [XP YP], with [XP YP] coordinate of the point
## in the coordinate system of the plane.
##
##
## CAUTION:
## WORKS ONLY FOR PLANES WITH ORTHOGONAL DIRECTION VECTORS
##
## @seealso{planes3d, points3d, planePoint}
## @end deftypefn
function pos = planePosition(point, plane)
# unify size of data
if size (point, 1) ~= size (plane, 1)
if size (point, 1) == 1
point = repmat (point, [size(plane, 1) 1]);
elseif size (plane, 1) == 1
plane = repmat (plane, [size(point, 1) 1]);
else
error ('point and plane do not have the same dimension');
end
end
p0 = plane(:, 1:3);
d1 = plane(:, 4:6);
d2 = plane(:, 7:9);
s = dot (point-p0, d1, 2) ./ vectorNorm (d1);
t = dot (point-p0, d2, 2) ./ vectorNorm (d2);
pos = [s t];
endfunction
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