RobotStudio/robot/Octave/@Quaternion/q2tr.m
% Ryan Steindl based on Robotics Toolbox for MATLAB (v6 and v9)
%
% Copyright (C) 1993-2011, by Peter I. Corke
%
% This file is part of The Robotics Toolbox for MATLAB (RTB).
% 
% RTB is free software: you can redistribute it and/or modify
% it under the terms of the GNU Lesser General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
% 
% RTB 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 Lesser General Public License for more details.
% 
% You should have received a copy of the GNU Leser General Public License
% along with RTB.  If not, see <http://www.gnu.org/licenses/>.
%
% http://www.petercorke.com
function t = q2tr(q)

    q = double(q);
    s = q(1);
    x = q(2);
    y = q(3);
    z = q(4);

    r = [   1-2*(y^2+z^2)   2*(x*y-s*z) 2*(x*z+s*y)
        2*(x*y+s*z) 1-2*(x^2+z^2)   2*(y*z-s*x)
        2*(x*z-s*y) 2*(y*z+s*x) 1-2*(x^2+y^2)   ];
    t = eye(4,4);
    t(1:3,1:3) = r;
    t(4,4) = 1;
endfunction
