%                                       [xp,yp] = posttransfo(x,y,prep,K)
% POSTTRANSFO  Transforms (x,y) from internal SeDuMi format into original
%   user format.
%
% SEE ALSO sedumi
% **********  INTERNAL FUNCTION OF SEDUMI **********
function [xp,yp] = posttransfo(x,y,prep,K)
 %  
 %   This file is part of SeDuMi 1.05
 %   Copyright (C) 2001 Jos F. Sturm
 %     Dept. Econometrics & O.R., Tilburg University, the Netherlands.
 %     Supported by the Netherlands Organization for Scientific Research (NWO).
 %   Affiliation SeDuMi 1.03 and 1.04Beta (2000):
 %     Dept. Quantitative Economics, Maastricht University, the Netherlands.
 %   Affiliations up to SeDuMi 1.02 (AUG1998):
 %     CRL, McMaster University, Canada.
 %     Supported by the Netherlands Organization for Scientific Research (NWO).
 % 
 %   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 2 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, write to the Free Software
 %   Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
 %

 K.l = K.l - 1;       % remove artificial var of self-dual embedding
 xp = x(2:end);
% ----------------------------------------
% transform q-variables into r-variables (Lorentz),
% ----------------------------------------
 xp = qreshape(xp,1,K);
 K.r = K.q(prep.lenKq + 1 : length(K.q));
 K.q = K.q(1:prep.lenKq);
 xp = rotlorentz(xp,K);
% ------------------------------------------------------------
% Transform L-vars into F-vars (free)
% ------------------------------------------------------------
 K.f = prep.Kf;
 K.l = K.l - 2 * K.f;
 xp = [xp(K.f+1 : 2*K.f) - xp(1:K.f); xp(2*K.f+1:end)];
% ----------------------------------------
% Bring x into the complex format of original (At,c),
% ----------------------------------------
 xp = veccomplex(xp,prep.cpx,K);
% ----------------------------------------
% bring y into complex format, indicated by K.ycomplex.
% ----------------------------------------
 ylen = length(y) - length(K.ycomplex);
 yp = y(1:ylen) ...
   + sqrt(-1) * sparse(K.ycomplex,1,y(ylen+1:length(y)),ylen,1);
