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function gt=comp_gabtight_long(g,a,M);
%-*- texinfo -*-
%@deftypefn {Function} comp_gabtight_long
%@verbatim
%COMP_GABTIGHT_LONG Compute tight window
%
% This is a computational subroutine, do not call it directly, use
% GABTIGHT instead.
%
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/comp/comp_gabtight_long.html}
%@seealso{gabtight}
%@end deftypefn
% Copyright (C) 2005-2016 Peter L. Soendergaard <peter@sonderport.dk>.
% This file is part of LTFAT version 2.3.1
%
% 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/>.
L=length(g);
R=size(g,2);
gf=comp_wfac(g,a,M);
b=L/M;
N=L/a;
c=gcd(a,M);
d=gcd(b,N);
p=b/d;
q=N/d;
G=zeros(p,q*R,assert_classname(g));
if p==1
% Integer oversampling, including Wilson basis.
for ii=1:c*d
gf(:,ii)=gf(:,ii)/norm(gf(:,ii));
end;
else
for ii=1:c*d
G(:)=gf(:,ii);
% Compute thin SVD
[U,sv,V] = svd(G,'econ');
Gtight=U*V';
gf(:,ii)=Gtight(:);
end;
end;
gt=comp_iwfac(gf,L,a,M);
if isreal(g)
gt=real(gt);
end;
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