On 9/3/2012 12:03 PM, Lukas Reichlin wrote:
> On 03.09.2012, at 10:39, Rafael Laboissiere <raf...@laboissiere.net> wrote:
> Hi Rafael,
>
> You can check whether the observed and expected results are equivalent
> state-space models (i.e. state-transformation, see command prescale for
> formulae). This can be done, e.g., by inspection of the Hankel singular
> values (command hsvd), time response (step, impulse) or frequency response
> (sigma).
> If they are the same, there should be nothing to worry about. If you want the
> same results, use Reference BLAS (and LAPACK) from www.netlib.org instead of
> ATLAS which you are probably using. The SLICOT authors recommend the use of
> the reference implementations. Correct results are more important than minor
> speed advantages of automatically tuned linear algebra software, aren't they?
> :-)
>
> Regards,
> Lukas
>
Lukas,
there is no guarantee to have the "expected" result
also with the reference lib.
Using Lapack 3.4.1 on cygwin
test /home/marco/octave/control-2.3.53/@lti/minreal.m
***** assert (Ar, Ae, 1e-4);
!!!!! test failed
assert (Ar,Ae,1e-4) expected
1.00000 -0.03930 -0.09800 -0.10660 0.07810 -0.23300 0.07770
0.00000 1.03120 0.27170 0.26090 -0.15330 0.67580 -0.35530
0.00000 0.00000 1.38870 0.66990 -0.42810 1.63890 -0.76150
0.00000 0.00000 0.00000 -1.21470 0.24230 -0.97920 0.47880
0.00000 0.00000 0.00000 0.00000 -1.05450 0.50350 -0.27880
0.00000 0.00000 0.00000 0.00000 0.00000 1.63550 -0.43230
0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 1.00000
but got
1.00000 0.03935 0.09802 -0.10656 0.07805 -0.23302 0.07773
0.00000 1.03122 0.27169 -0.26093 0.15327 -0.67578 0.35529
0.00000 0.00000 1.38869 -0.66991 0.42806 -1.63894 0.76153
0.00000 0.00000 0.00000 1.21467 -0.24232 0.97919 -0.47884
0.00000 0.00000 0.00000 0.00000 1.05454 -0.50348 0.27881
0.00000 0.00000 0.00000 0.00000 0.00000 1.63547 -0.43234
0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 1.00000
maximum absolute error 3.27784 exceeds tolerance 0.0001
so we need to define a different test methodology
Regards
Marco
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