/usr/share/octave/packages/geometry-1.7.0/geom3d/createPlane.m is in octave-geometry 1.7.0-1build1.
This file is owned by root:root, with mode 0o644.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 | ## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## 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
## 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
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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{PLANE} =} createPlane (@var{pts})
## @deftypefnx {Function File} {@var{PLANE} =} createPlane (@var{p0}, @var{n})
## @deftypefnx {Function File} {@var{PLANE} =} createPlane (@var{p1}, @var{p2}, @var{p3})
## Create a plane in parametrized form
##
## PLANE = createPlane(PTS)
## The 3 points are packed into a single 3x3 array.
##
## PLANE = createPlane(P0, N);
## Creates a plane from a point and from a normal to the plane. The
## parameter N is given either as a 3D vector (1-by-3 row vector), or as
## [THETA PHI], where THETA is the colatitute (angle with the vertical
## axis) and PHI is angle with Ox axis, counted counter-clockwise (both
## given in radians).
##
## PLANE = createPlane(P1, P2, P3)
## creates a plane containing the 3 points
##
## The created plane data has the following format:
## PLANE = [X0 Y0 Z0 DX1 DY1 DZ1 DX2 DY2 DZ2], with
## - (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
## The 2 direction vectors are normalized and orthogonal.
##
## @seealso{planes3d, medianPlane}
## @end deftypefn
## TODO: return closet plane when dim(PTS,1) > 3
function plane = createPlane(varargin)
if length (varargin) == 1
var = varargin{1};
if iscell (var)
plane = zeros ([length (var) 9]);
for i=1:length (var)
plane(i,:) = createPlane (var{i});
end
elseif size (var, 1) >= 3
# 3 points in a single array
p1 = var(1,:);
p2 = var(2,:);
p3 = var(3,:);
# create direction vectors
v1 = p2 - p1;
v2 = p3 - p1;
# create plane
plane = normalizePlane ([p1 v1 v2]);
return;
end
elseif length (varargin) == 2
# plane origin
p0 = varargin{1};
# second parameter is either a 3D vector or a 3D angle (2 params)
var = varargin{2};
if size (var, 2) == 2
# normal is given in spherical coordinates
n = sph2cart2 ([var ones(size(var, 1))]);
elseif size (var, 2)==3
# normal is given by a 3D vector
n = normalizeVector (var);
else
error ('wrong number of parameters in createPlane');
end
# ensure same dimension for parameters
if size (p0, 1)==1
p0 = repmat (p0, [size(n, 1) 1]);
end
if size(n, 1)==1
n = repmat (n, [size(p0, 1) 1]);
end
# find a vector not colinear to the normal
v0 = repmat ([1 0 0], [size(p0, 1) 1]);
inds = vectorNorm (cross (n, v0, 2)) < 1e-14;
v0(inds, :) = repmat ([0 1 0], [sum(inds) 1]);
# if abs(cross(n, v0, 2))<1e-14
# v0 = repmat([0 1 0], [size(p0, 1) 1]);
# end
# create direction vectors
v1 = normalizeVector (cross (n, v0, 2));
v2 = -normalizeVector (cross (v1, n, 2));
# concatenate result in the array representing the plane
plane = [p0 v1 v2];
return;
elseif length (varargin)==3
p1 = varargin{1};
p2 = varargin{2};
p3 = varargin{3};
# create direction vectors
v1 = p2 - p1;
v2 = p3 - p1;
plane = normalizePlane ([p1 v1 v2]);
return;
else
error ('Wrong number of arguments in "createPlane".');
end
endfunction
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