X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;f=octave_packages%2Fquaternion-2.0.0%2F%40quaternion%2Fexp.m;fp=octave_packages%2Fquaternion-2.0.0%2F%40quaternion%2Fexp.m;h=97ecce11d69ef0eaa0814b3f71a7fd3c721e1967;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hp=0000000000000000000000000000000000000000;hpb=1705066eceaaea976f010f669ce8e972f3734b05;p=CreaPhase.git diff --git a/octave_packages/quaternion-2.0.0/@quaternion/exp.m b/octave_packages/quaternion-2.0.0/@quaternion/exp.m new file mode 100644 index 0000000..97ecce1 --- /dev/null +++ b/octave_packages/quaternion-2.0.0/@quaternion/exp.m @@ -0,0 +1,40 @@ +## Copyright (C) 2011 Lukas F. Reichlin +## +## 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 . + +## -*- texinfo -*- +## @deftypefn {Function File} {@var{qexp} =} exp (@var{q}) +## Exponential of a quaternion. +## @end deftypefn + +## Author: Lukas Reichlin +## Created: November 2011 +## Version: 0.1 + +function q = exp (q) + + if (nargin != 1) + print_usage (); + endif + + normv = normv (q); + exps = exp (q.w); + sinv = sin (normv); + + q.w = exps .* cos (normv); + q.x = exps .* (q.x ./ normv) .* sinv; + q.y = exps .* (q.y ./ normv) .* sinv; + q.z = exps .* (q.z ./ normv) .* sinv; + +endfunction