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function test_failed=test_dgt
%-*- texinfo -*-
%@deftypefn {Function} test_dgt
%@verbatim
%TEST_DGT Test DGT
%
% This script runs a throrough test of the DGT routine,
% testing it on a range of input parameters.
%
% The computational backend is tested this way, but the
% interface is not.
%
% The script tests dgt, idgt, gabdual and gabtight.
%
% Use TEST_WFAC and TEST_DGT_FAC for more specific testing
% of the DGT backend.
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/testing/test_dgt.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=[24,16,144,108,144,24,135,35,77,20];
ar=[ 4, 4, 9, 9, 12, 6, 9, 5, 7, 1];
Mr=[ 6, 8, 16, 12, 24, 8, 9, 7,11,20];
test_failed=0;
disp(' =============== TEST_DGT ================');
disp('--- Used subroutines ---');
which comp_wfac
which comp_iwfac
which comp_sepdgt
which comp_isepdgt
which comp_sepdgtreal
which comp_isepdgtreal
which comp_gabdual_long
which comp_gabtight_long
for ii=1:length(Lr);
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;
for rtype=1:2
if rtype==1
rname='REAL ';
g=tester_rand(L,1);
else
rname='CMPLX';
g=tester_crand(L,1);
end;
global LTFAT_TEST_TYPE;
if strcmpi(LTFAT_TEST_TYPE,'single')
C = gabframebounds(g,a,M);
while C>1e3
% warning(sprintf(['The frame is too badly conditioned '...
% 'for single precision. Cond. num. %d. '...
% ' Trying again.'],C));
if rtype==1
rname='REAL ';
g=tester_rand(L,1);
else
rname='CMPLX';
g=tester_crand(L,1);
end;
C = gabframebounds(g,a,M);
end
end
gd=gabdual(g,a,M);
gt=gabtight(g,a,M);
% --- Test windows against their reference implementations. ---
ref_gd=ref_gabdual(g,a,M);
res=norm(ref_gd-gd);
[test_failed,fail]=ltfatdiditfail(res,test_failed);
fprintf(['REFDUAL %s L:%3i a:%3i b:%3i c:%3i d:%3i p:%3i q:%3i '...
'%0.5g %s\n'],rname,L,a,b,c,d,p,q,res,fail);
ref_gt=ref_gabtight(g,a,M);
res=norm(ref_gt-gt);
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['REFTIGHT %s L:%3i a:%3i b:%3i c:%3i d:%3i p:%3i q:%3i '...
'%0.5g %s'],rname,L,a,b,c,d,p,q,res,fail);
disp(s);
% ---- Test gabdualnorm --------------------------------------
res=gabdualnorm(g,gd,a,M);
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['DUALNORM1 %s L:%3i a:%3i b:%3i c:%3i d:%3i p:%3i q:%3i '...
'%0.5g %s'],rname,L,a,b,c,d,p,q,res,fail);
disp(s);
[o1,o2]=gabdualnorm(g,gd,a,M);
res=o1-1+o2;
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['DUALNORM2 %s L:%3i a:%3i b:%3i c:%3i d:%3i p:%3i q:%3i '...
'%0.5g %s'],rname,L,a,b,c,d,p,q,res,fail);
disp(s);
for W=1:3
if rtype==1
f=tester_rand(L,W);
else
f=tester_crand(L,W);
end;
% --- Test DGT against its reference implementation. ---
cc=dgt(f,g,a,M);
cc2=ref_dgt(f,g,a,M);
cdiff=cc-cast(cc2,class(cc));
res=norm(cdiff(:));
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['REF %s L:%3i W:%2i a:%3i b:%3i c:%3i d:%3i p:%3i q:%3i '...
'%0.5g %s'],rname,L,W,a,b,c,d,p,q,res,fail);
disp(s)
% --- Test reconstruction of IDGT using a canonical dual window. ---
r=idgt(cc,gd,a);
res=norm(f-r,'fro');
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['REC %s L:%3i W:%2i a:%3i b:%3i c:%3i d:%3i p:%3i q:%3i ' ...
'%0.5g %s'],rname,L,W,a,b,c,d,p,q,res,fail);
disp(s)
% --- Test reconstruction of IDGT using a canonical tight window. ---
res=norm(f-idgt(dgt(f,gt,a,M),gt,a),'fro');
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['TIG %s L:%3i W:%2i a:%3i b:%3i c:%3i d:%3i p:%3i q:%3i ' ...
'%0.5g %s'],rname,L,W,a,b,c,d,p,q,res,fail);
disp(s);
% Test the real valued transform
if rtype==1
% --- Reference test ---
ccreal=dgtreal(f,g,a,M);
M2=floor(M/2)+1;
cdiff=cc(1:M2,:,:)-ccreal;
res=norm(cdiff(:));
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['REFREAL L:%3i W:%2i a:%3i b:%3i c:%3i d:%3i p:%3i ' ...
'q:%3i %0.5g %s'],L,W,a,b,c,d,p,q,res,fail);
disp(s);
% --- Reconstruction test ---
rreal=idgtreal(ccreal,gd,a,M);
res=norm(f-rreal,'fro');
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf(['RECREAL L:%3i W:%2i a:%3i b:%3i c:%3i d:%3i p:%3i ' ...
'q:%3i %0.5g %s'],L,W,a,b,c,d,p,q,res,fail);
disp(s)
end;
end;
end;
end;
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