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function test_failed=test_nonsepdgt
%-*- texinfo -*-
%@deftypefn {Function} test_nonsepdgt
%@verbatim
%TEST_NONSEPDGT Test non-separable 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_nonsepdgt.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 =[24,24,30,36,36,48,72];
ar =[ 4, 4, 3, 4, 4, 4, 4];
Mr =[ 6, 6, 5, 6, 6, 6, 6];
lt1=[ 0, 1, 1, 1, 2, 1, 1];
lt2=[ 1, 2, 2, 3, 3, 4, 2];
test_failed=0;
testmode=0;
disp(' =============== TEST_NONSEPDGT ================');
disp('--- Used subroutines ---');
which comp_nonsepdgt_multi
which comp_nonsepdgt_shear
which comp_nonsepwin2multi
for ii=1:length(Lr);
L=Lr(ii);
M=Mr(ii);
a=ar(ii);
lt=[lt1(ii), lt2(ii)];
b=L/M;
N=L/a;
c=gcd(a,M);
d=gcd(b,N);
p=a/c;
q=M/c;
for gtype=1:2
if gtype==1
Lw=L;
else
Lw=M;
end;
for rtype=1:2
if rtype==1
rname='REAL';
g=tester_rand(Lw,1);
else
rname='CMPLX';
g=tester_crand(Lw,1);
end;
gd=gabdual(g,a,M,'lt',lt);
gd_multi=gabdual(g,a,M,'lt',lt,'nsalg',1);
gd_shear=gabdual(g,a,M,'lt',lt,'nsalg',2);
gt=gabtight(g,a,M,'lt',lt);
gt_multi=gabtight(g,a,M,'lt',lt,'nsalg',1);
gt_shear=gabtight(g,a,M,'lt',lt,'nsalg',2);
% For testing, we need to call some computational subroutines directly.
gsafe=fir2long(g,L);
gdsafe=fir2long(gd,L);
for W=1:3
if rtype==1
f=tester_rand(L,W);
else
f=tester_crand(L,W);
end;
% --------- test reference comparison ------------
cc = dgt(f,g,a,M,'lt',lt);
cc_ref = ref_nonsepdgt(f,g,a,M,lt);
res = norm(cc(:)-cc_ref(:))/norm(cc(:));
stext=sprintf(['REF %s L:%3i W:%2i LW:%3i a:%3i M:%3i lt1:%2i lt2:%2i' ...
' %0.5g'], rname,L,W,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% --------- test multiwindow ---------------------
cc = comp_dgt(f,gsafe,a,M,lt,0,0,1);
res = norm(cc(:)-cc_ref(:))/norm(cc(:));
stext=sprintf('DGT MULTIW %s L:%3i W:%2i LW:%3i a:%3i M:%3i lt1:%2i lt2:%2i %0.5g ',...
rname,L,W,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% --------- test shear DGT -------------------------------
cc = comp_dgt(f,gsafe,a,M,lt,0,0,2);
res = norm(cc(:)-cc_ref(:))/norm(cc(:));
stext=sprintf(['DGT SHEAR %s L:%3i W:%2i LW:%3i a:%3i ' ...
'M:%3i lt1:%2i lt2:%2i %0.5g'], rname,L,W, ...
Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% -------- test reconstruction using canonical dual -------
r=idgt(cc,gd,a,'lt',lt);
res=norm(f-r,'fro')/norm(f,'fro');
stext=sprintf(['REC D %s L:%3i W:%2i LW:%3i a:%3i M:%3i ' ...
'lt1:%2i lt2:%2i %0.5g'], rname,L,W,Lw,a,M, ...
lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% -------- test reconstruction using canonical dual, multiwin algorithm -------
r=comp_idgt(cc,gdsafe,a,lt,0,1);
res=norm(f-r,'fro')/norm(f,'fro');
stext=sprintf(['REC MULTIW D %s L:%3i W:%2i LW:%3i a:%3i ' ...
'M:%3i lt1:%2i lt2:%2i %0.5g ' ], rname,L,W, ...
Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% -------- test reconstruction using canonical dual, shear algorithm -------
r=comp_idgt(cc,gdsafe,a,lt,0,2);
res=norm(f-r,'fro')/norm(f,'fro');
stext=sprintf(['REC SHEAR D %s L:%3i W:%2i LW:%3i a:%3i ' ...
'M:%3i lt1:%2i lt2:%2i %0.5g ' ], rname,L,W, ...
Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% -------- test reconstruction using canonical tight -------
cc_t = dgt(f,gt,a,M,'lt',lt);
r=idgt(cc_t,gt,a,'lt',lt);
res=norm(f-r,'fro')/norm(f,'fro');
stext=sprintf(['REC T %s L:%3i W:%2i LW:%3i a:%3i M:%3i ' ...
'lt1:%2i lt2:%2i %0.5g ' ], rname,L,W,Lw,a, ...
M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% -------- test dgtreal-----------------------
if (rtype==1) && (lt(2)<=2)
M2=floor(M/2)+1;
cc_r = dgtreal(f,g,a,M,'lt',lt);
res=cc_r-cc(1:M2,:,:);
res=norm(res(:))/norm(cc_r(:));;
stext=sprintf(['REFREAL L:%3i W:%2i LW:%3i a:%3i ' ...
'M:%3i lt1:%2i lt2:%2i %0.5g' ], ...
L,W,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
r_real = idgtreal(cc_r,gd,a,M,'lt',lt);
res=norm(f-r_real,'fro')/norm(f,'fro');
stext=sprintf(['RECREAL L:%3i W:%2i LW:%3i a:%3i ' ...
'M:%3i lt1:%2i lt2:%2i %0.5g '], ...
L,W,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
end;
end;
% -------- test frame bounds for tight frame -------
B=gabframebounds(gt,a,M,'lt',lt);
res=B-1;
stext=sprintf(['FRB %s L:%3i LW:%3i a:%3i M:%3i lt1:%2i lt2:%2i ' ...
'%0.5g'], rname,L,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% -------- test multiwin dual -------
res=norm(gd-gd_multi)/norm(g);
stext=sprintf(['DUAL MULTI %s L:%3i LW:%3i a:%3i M:%3i lt1:%2i ' ...
'lt2:%2i %0.5g' ], rname,L,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% -------- test shear dual -------
res=norm(gd-gd_shear)/norm(g);
stext=sprintf(['DUAL SHEAR %s L:%3i LW:%3i a:%3i M:%3i lt1:%2i ' ...
'lt2:%2i %0.5g'], rname,L,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% -------- test shear tight -------
res=norm(gt-gt_multi)/norm(g);
stext=sprintf(['TIGHT MULTI %s L:%3i LW:%3i a:%3i M:%3i lt1:%2i ' ...
'lt2:%2i %0.5g' ], rname,L,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% -------- test shear tight -------
res=norm(gt-gt_shear)/norm(g);
stext=sprintf(['TIGHT SHEAR %s L:%3i LW:%3i a:%3i M:%3i lt1:%2i ' ...
'lt2:%2i %0.5g' ], rname,L,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
% ---- Test gabdualnorm --------------------------------------
res=gabdualnorm(g,gd,a,M,'lt',lt);
stext=sprintf(['DUALNORM1 %s L:%3i LW:%3i a:%3i M:%3i lt1:%2i ' ...
'lt2:%2i %0.5g' ], rname,L,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
[o1,o2]=gabdualnorm(g,gd,a,M,'lt',lt);
res=o1-1+o2;
stext=sprintf(['DUALNORM2 %s L:%3i LW:%3i a:%3i M:%3i lt1:%2i ' ...
'lt2:%2i %0.5g' ], rname,L,Lw,a,M,lt(1),lt(2),res);
test_failed=ltfatchecktest(res,stext,test_failed,testmode);
end;
end;
end;
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