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function test_failed = test_fwt(verbose)
%-*- texinfo -*-
%@deftypefn {Function} test_fwt
%@verbatim
%TEST_COMP_FWTPR
%
% Checks perfect reconstruction of the wavelet transform of different
% filters
%
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/testing/test_fwt.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/>.
disp('========= TEST FWT ============');
global LTFAT_TEST_TYPE;
tolerance = 1e-8;
if strcmpi(LTFAT_TEST_TYPE,'single')
tolerance = 1e-5;
end
test_failed = 0;
if(nargin>0)
verbose = 1;
which comp_filterbank_td -all
which comp_ifilterbank_td -all
else
verbose = 0;
end
% curDir = pwd;
% mexDir = [curDir(1:strfind(pwd,'\ltfat')+5),'\mex'];
%
% rmpath(mexDir);
% which comp_fwt_all
% addpath(mexDir)
% which comp_fwt_all
type = {'dec'};
ext = {'per','zero','odd','even'};
format = {'pack','cell'};
test_filters = {
{'db',10}
% {'apr',2} % complex filter values, odd length filters, no exact PR
{'algmband',2} % 4 filters,
{'db',1}
%{'db',3}
{'spline',4,4}
%{'lemaire',80} % not exact reconstruction
{'hden',3} % only one with 3 filters and different
%subsampling factors
%{'symds',1}
{'algmband',1} % 3 filters, sub sampling factor 3, even length
%{'sym',4}
{'sym',9}
{'symds',2}
{'symtight',1}
{'symtight',2}
% {'symds',3}
% {'symds',4}
% {'symds',5}
{'spline',3,5}
%{'spline',3,11}
%{'spline',11,3} % too high reconstruction error
%{'maxflat',2}
%{'maxflat',11}
%{'optfs',7} % bad precision of filter coefficients
%{'remez',20,10,0.1} % no perfect reconstruction
{'dden',2}
{'dden',5}
{'dgrid',1}
{'dgrid',3}
%{'algmband',1}
{'mband',1}
{'coif',1}
{'coif',2}
{'coif',3}
{'coif',4}
{'qshifta',4}
{'qshiftb',4}
{'oddevenb',1}
%{'hden',2}
%{'hden',1}
%{'algmband',2}
{'symorth',1}
{'symorth',2}
{'symorth',3}
{'symdden',1}
{'symdden',2}
{[0.129409522551260,-0.224143868042013,-0.836516303737808,-0.482962913144534],...
[-0.482962913144534,0.836516303737808,-0.224143868042013,-0.129409522551260],...
'a',[2,2]}
{[0.129409522551260,-0.224143868042013,-0.836516303737808,-0.482962913144534],...
[-0.482962913144534,0.836516303737808,-0.224143868042013,-0.129409522551260]}
};
%ext = {'per','zpd','sym','symw','asym','asymw','ppd','sp0'};
J = 5;
%testLen = 4*2^J-1;%(2^J-1);
testLen = 53;
for formatIdx = 1:length(format)
formatCurr = format{formatIdx};
for extIdx=1:length(ext)
extCur = ext{extIdx};
%for inLenRound=0:2^J-1
inLenRound = 0;
for realComplex=0:1
%f = randn(14576,1);
if realComplex
f = tester_crand(testLen+inLenRound,1);
else
f = tester_rand(testLen+inLenRound,1);
end
%f = 1:testLen-1;f=f';
%f = 0:30;f=f';
% multiple channels
%f = [2*f,f,0.1*f];
for typeIdx=1:length(type)
typeCur = type{typeIdx};
for tt=1:length(test_filters)
actFilt = test_filters{tt};
%fname = strcat(prefix,actFilt{1});
%w = fwtinit(test_filters{tt});
for jj=J:J
if verbose, fprintf('J=%d, filt=%s, type=%s, ext=%s, inLen=%d, format=%s \n',jj,actFilt{1},typeCur,extCur,length(f),formatCurr); end;
if(strcmp(formatCurr,'pack'))
[c, info] = fwt(f,test_filters{tt},jj,extCur);
fhat = ifwt(c,test_filters{tt},jj,size(f,1),extCur);
if ~isnumeric(test_filters{tt}{1})
fhat2 = ifwt(c,info);
end
elseif(strcmp(formatCurr,'cell'))
[c,info] = fwt(f,test_filters{tt},jj,extCur);
ccell = wavpack2cell(c,info.Lc);
fhat = ifwt(ccell,test_filters{tt},jj,size(f,1),extCur);
if ~isnumeric(test_filters{tt}{1})
fhat2 = ifwt(c,info);
end
else
error('Should not get here.');
end
%MSE
err = norm(f-fhat,'fro');
[test_failed,fail]=ltfatdiditfail(err,test_failed,tolerance);
if(~verbose)
if ~isnumeric(test_filters{tt}{1})
fprintf('J=%d, %6.6s, type=%s, ext=%4.4s, L=%d, fmt=%s, err=%.4e %s \n',jj,actFilt{1},typeCur,extCur,length(f),formatCurr,err,fail);
else
fprintf('J=%d, numeric, type=%s, ext=%4.4s, L=%d, fmt=%s, err=%.4e %s \n',jj,typeCur,extCur,length(f),formatCurr,err,fail);
end
end
if ~isnumeric(test_filters{tt}{1})
err = norm(f-fhat2,'fro');
[test_failed,fail]=ltfatdiditfail(err,test_failed,tolerance);
fprintf('INFO J=%d, %6.6s, type=%s, ext=%4.4s, L=%d, fmt=%s, err=%.4e %s \n',jj,actFilt{1},typeCur,extCur,length(f),formatCurr,err,fail);
end
if strcmpi(fail,'FAILED')
if verbose
fprintf('err=%d, J=%d, filt=%s, type=%s, ext=%s, inLen=%d',err,jj,actFilt{1},extCur,typeCur,testLen+inLenRound);
figure(1);clf;stem([f,fhat]);
figure(2);clf;stem([f-fhat]);
break;
end
end
end
if test_failed && verbose, break; end;
end
if test_failed && verbose, break; end;
end
if test_failed && verbose, break; end;
end
if test_failed && verbose, break; end;
end
if test_failed && verbose, break; end;
end
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