/usr/share/octave/packages/nurbs-1.3.13/vecrot.m is in octave-nurbs 1.3.13-4.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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 | function rx = vecrot(angle, vector)
%
% VECROT: Transformation matrix for a rotation around the axis given by a vector.
%
% Calling Sequence:
%
% rx = vecrot (angle, vector);
%
% INPUT:
%
% angle : rotation angle defined in radians
% vector: vector defining the rotation axis
%
% OUTPUT:
%
% rx: (4x4) Transformation matrix.
%
%
% Description:
%
% Return the (4x4) Transformation matrix for a rotation about the axis
% defined by vector, and by the given angle.
%
% See also:
%
% nrbtform
%
% Copyright (C) 2011 Rafael Vazquez
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
% Normalize the vector
vec = vector / norm (vector);
sn = sin (angle);
cn = cos (angle);
rx = [cn+vec(1)^2*(1-cn), vec(1)*vec(2)*(1-cn)-vec(3)*sn, vec(1)*vec(3)*(1-cn)+vec(2)*sn, 0;
vec(1)*vec(2)*(1-cn)+vec(3)*sn, cn+vec(2)^2*(1-cn), vec(2)*vec(3)*(1-cn)-vec(1)*sn, 0;
vec(1)*vec(3)*(1-cn)-vec(2)*sn, vec(2)*vec(3)*(1-cn)+vec(1)*sn, cn+vec(3)^2*(1-cn), 0;
0 0 0 1];
end
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