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function test_failed=test_gdgt
%-*- texinfo -*-
%@deftypefn {Function} test_gdgt
%@verbatim
%TEST_GDGT Test GDGT
%
% This script runs a throrough test of the COMP_GDGT routine, testing it on
% a range of input parameters.
%
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/testing/test_gdgt.html}
%@end deftypefn
% Copyright (C) 2005-2016 Peter L. Soendergaard <peter@sonderport.dk>.
% This file is part of LTFAT version 2.2.0
%
% 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/>.
Lr=[24,144,108,144,24,135,35,77,20];
ar=[ 4, 9, 9, 12, 6, 9, 5, 7, 1];
Mr=[ 6, 16, 12, 24, 8, 9, 7,11,20];
R=1;
test_failed=0;
disp(' =============== TEST_GDGT ================');
for ii=1:length(Lr);
for ctii=0:1
c_t=ctii*.5;
for cfii=0:1
c_f=cfii*.5;
for W=1:3
L=Lr(ii);
M=Mr(ii);
a=ar(ii);
b=L/M;
N=L/a;
c=gcd(a,M);
d=gcd(b,N);
p=a/c;
q=M/c;
%g=(1:L)';
%g=i*gabtight(a,b,L);
f=tester_crand(L,W);
g=tester_crand(L,R);
gd=gabdual(g,a,M);
gt=gabtight(g,a,M);
cc=comp_gdgt(f,g,a,M,L,c_t,c_f,0,0);
cc2=reshape(ref_gdgt(f,g,a,M,c_t,c_f,0),M,N,W);
cdiff=cc-cc2;
res=norm(cdiff(:));
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['REF L:%3i c_t: %0.5g c_f %0.5g ', ...
'W:%2i R:%2i a:%3i b:%3i c:%3i ', ...
'd:%3i p:%3i q:%3i %0.5g %s'],...
L,c_t,c_f,W,R,a,b,c,d,p,q,res,fail);
disp(s)
r=comp_igdgt(cc,gd,a,M,L,c_t,c_f,0,0);
res=norm(f-r,'fro');
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['REC L:%3i c_t: %0.5g c_f %0.5g ',...
'W:%2i R:%2i a:%3i b:%3i c:%3i ',...
'd:%3i p:%3i q:%3i %0.5g %s'],...
L,c_t,c_f,W,R,a,b,c,d,p,q,res,fail);
disp(s)
res=norm(f-idgt(dgt(f,gt,a,M),gt,a),'fro');
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['TIG L:%3i c_t: %0.5g c_f %0.5g ',...
'W:%2i R:%2i a:%3i b:%3i c:%3i ',...
'd:%3i p:%3i q:%3i %0.5g %s'],...
L,c_t,c_f,W,R,a,b,c,d,p,q,res,fail);
disp(s);
end;
end;
end;
end;
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