%                               [Lden,L.d] = dpr1fact(x, d, Lsym, smult, maxu)
% DPR1FACT  Factor d[iag] p[lus] r[ank] 1:
%    [Lden,L.d] = dpr1fact(x, d, Lsym, smult, maxu)
%    Computes fi and d such that
%       diag(d_IN) + x*diag(smult)*x' = 
%(PI_{i=1}^n L(p_OUT^i,beta_i)) * diag(d_OUT) * (PI_{i=1}^n L(p_OUT^i,beta_i))'
%    where L(p,beta) = eye(n) + tril(p*beta',-1).
%    
% Lden.dopiv(k) = 1 if p(:,k) has been reordered, with permutation in
% Lden.pivperm.
% We reorder if otherwise |p(i,k)*beta(j,k)| > maxu.
%
% SEE ALSO fwdpr1,bwdpr1,sedumi
% ******************** INTERNAL FUNCTION OF SEDUMI ********************
function [Lden,Ld] = dpr1fact(x, d, Lsym, smult, maxu)
 %  
 %   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.
 %
error('At OS prompt, type "make" to create cholTool mex-files.')
