Hi Ed,

I'm not sure about what should be expected for operations on real
numbers that have no real answer: a complex answer or an error? (In the
case of sqrt(-1) or worse, for log(-1) there is the further problem of
multiple possible answers.)

Consider

pdl> $i=sequence(long,10);

pdl> p $i/3
[0 0 0 1 1 1 2 2 2 3]

pdl>

In this case, division is not promoting longs into floats. However
asin(3) does promote floats into complex. sqrt(-1) isn't. So I'm still
confused about what are the appropriate expectations. I'd follow your
suggestion if I were sure what to request.

Regards,
Luis


On Sat, Feb 20, 2021 at 12:52:58AM +0000, Ed . wrote:
> > Is this the expected behavior?
>
> I’d have to say yes – the changes made by Ingo are to use <complex.h>’s 
> native-ish C complex-numbers support, and PDL types and code changes to 
> support that. The change to asin’s behaviour came for free with that. It’s 
> not yet fully pervasive, and I’m not 100% sure whether the new complex 
> behaviour should actually change to be opt-in.
>
> On the other hand, making it do the mathematically correct thing all the way 
> seems like the correct way forward! If people can try their various scripts 
> and extensions and see if anything breaks, and/or find things that are not 
> according to their expectations, it would be really helpful to report that on 
> here. Luis, could you open an issue on the repo and capture at least this 
> sqrt point? (A PR to add a failing test would be even better, and a PR with a 
> failing test plus code to fix the problem would be better again 😊)
>
> Best regards,
> Ed
>
> From: Luis Mochan<mailto:moc...@icf.unam.mx>
> Sent: 20 February 2021 00:09
> To: pdl-devel@lists.sourceforge.net<mailto:pdl-devel@lists.sourceforge.net>; 
> perldl<mailto:pdl-gene...@lists.sourceforge.net>
> Subject: Re: [Pdl-devel] PDL 2.026_01 released to CPAN
>
> I installed it 026_01 (from github/master)
>
>
> pdl> p asin(3)
> 1.5707963267948966+1.7627471740390861i
>
> pdl> p sin(asin(3))
> 3.0000000000000004+1.7319121124709863e-16i
>
> Seems good, but
>
> pdl> p sqrt(-1)
> Runtime error: Can't take sqrt of -1 at (eval 400) line 5.
>
> pdl> use PDL::Complex
>
> pdl> p sqrt(-1)
> Runtime error: Can't take sqrt of -1 at (eval 416) line 5.
>
> pdl> p sqrt(-1+0*i)
> 0 +1i
>
> pdl>
>
> Is this the expected behavior?
>
> Regards,
> Luis
>
>
>
> On Fri, Feb 19, 2021 at 05:52:44PM -0600, Luis Mochan wrote:
> > This is good news!
> > Thanks!
> > Luis
> >
> > On Fri, Feb 19, 2021 at 08:15:59PM +0000, Ed . wrote:
> > > Dear PDL users,
> > >
> > > I’ve just uploaded PDL 2.026_01 to CPAN. It has Ingo Schmid’s “native 
> > > complex types” code (as tidied up a bit). Please give it a go and report 
> > > whether it works! Please note that now e.g. asin(3) will not return NaN, 
> > > but instead a complex number (which is, of course, mathematically valid).
> > >
> > > As Derek said, please report any issues you find to the mailing list 
> > > (good), or create an issue (better) or a pull request (best!) on GitHub.  
> > > Thanks, and Happy PDL-ing!
> > >
> > > Best regards,
> > > Ed
> >
> >
> > > _______________________________________________
> > > pdl-devel mailing list
> > > pdl-devel@lists.sourceforge.net
> > > https://lists.sourceforge.net/lists/listinfo/pdl-devel
> >
> >
> > --
> >
> >                                                                   o
> > W. Luis Mochán,                      | tel:(52)(777)329-1734     /<(*)
> > Instituto de Ciencias Físicas, UNAM  | fax:(52)(777)317-5388     `>/   /\
> > Av. Universidad s/n CP 62210         |                           (*)/\/  \
> > Cuernavaca, Morelos, México          | moc...@fis.unam.mx   /\_/\__/
> > GPG: 791EB9EB, C949 3F81 6D9B 1191 9A16  C2DF 5F0A C52B 791E B9EB
> >
> >
> > _______________________________________________
> > pdl-devel mailing list
> > pdl-devel@lists.sourceforge.net
> > https://lists.sourceforge.net/lists/listinfo/pdl-devel
>
> --
>
>                                                                   o
> W. Luis Mochán,                      | tel:(52)(777)329-1734     /<(*)
> Instituto de Ciencias Físicas, UNAM  | fax:(52)(777)317-5388     `>/   /\
> Av. Universidad s/n CP 62210         |                           (*)/\/  \
> Cuernavaca, Morelos, México          | moc...@fis.unam.mx   /\_/\__/
> GPG: 791EB9EB, C949 3F81 6D9B 1191 9A16  C2DF 5F0A C52B 791E B9EB
>
>
> _______________________________________________
> pdl-devel mailing list
> pdl-devel@lists.sourceforge.net
> https://lists.sourceforge.net/lists/listinfo/pdl-devel
>

--

                                                                  o
W. Luis Mochán,                      | tel:(52)(777)329-1734     /<(*)
Instituto de Ciencias Físicas, UNAM  | fax:(52)(777)317-5388     `>/   /\
Av. Universidad s/n CP 62210         |                           (*)/\/  \
Cuernavaca, Morelos, México          | moc...@fis.unam.mx   /\_/\__/
GPG: 791EB9EB, C949 3F81 6D9B 1191 9A16  C2DF 5F0A C52B 791E B9EB


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