1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
|
Lr=[100,101,102,103];
test_failed=0;
highordercoef=0.80;
disp(' =============== TEST_HERMBASIS ==========');
for ii=1:length(Lr)
for n=2:4
L=Lr(ii);
highorder=round(L*highordercoef);
[H,D]=hermbasis(L,n);
r1=(H*H')-eye(L);
res=norm(r1,'fro');
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf('HERMBASIS orth L:%3i n:%3i %0.5g %s',L,n,res,fail);
disp(s);
f=tester_crand(L,1);
res=norm(dft(f)-H*diag(D)*H'*f);
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf('HERMBASIS DFT L:%3i n:%3i %0.5g %s',L,n,res,fail);
disp(s);
[H,D]=pherm(L,0:highorder-1,'fast');
res=norm(dft(H)-H*diag(D));
[test_failed,fail]=ltfatdiditfail(res,test_failed);
end;
s=sprintf('PHERM DFT L:%3i %0.5g %s',L,res,fail);
disp(s);
[H,D]=pherm(L,0:highorder-1,'fast','qr');
res=norm(dft(H)-H*diag(D));
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf('PHERM QR DFT L:%3i %0.5g %s',L,res,fail);
disp(s);
r1=(H'*H)-eye(highorder);
res=norm(r1,'fro');
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf('PHERM QR orth L:%3i %0.5g %s',L,res,fail);
disp(s);
[H,D]=pherm(L,0:highorder-1,'fast','polar');
res=norm(dft(H)-H*diag(D));
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf('PHERM POL DFT L:%3i %0.5g %s',L,res,fail);
disp(s);
r1=(H'*H)-eye(highorder);
res=norm(r1,'fro');
[test_failed,fail]=ltfatdiditfail(res,test_failed);
s=sprintf('PHERM POL orth L:%3i %0.5g %s',L,res,fail);
disp(s);
end;
%-*- texinfo -*-
%@deftypefn {Function} test_hermbasis
%@verbatim
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/testing/test_hermbasis.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/>.
|
