On Tue, Apr 16, 2013 at 4:51 PM, Burcin Erocal <bur...@erocal.org> wrote:

> On Tue, 16 Apr 2013 15:26:53 +0100
> Bill Hart <goodwillh...@googlemail.com> wrote:
>
> > I can imagine there being a kind of p-adic algorithm for this. Could
> > this be what Burcin is referring to? I am not aware of references for
> > such an algorithm though. Perhaps individuals on either list have
> > more information about this.
>
> I meant simply changing the existing code so that it works with ulong
> extras or the representation used by nmod_vec. (Is there a separate
> nmod struct?) This just needs to be an exercise to demonstrate basic
> coding and git skills. :)
>
> Rational function reconstruction would definitely be more interesting,
> but does flint have a data structure for F_p(x) or Q(x)? Passing around
> two nmod_poly's or fmpz_poly's is also OK of course.
>

It does have a data structure for Q(x) (fmpz_poly_q). But the right way to
implement this function would arguably be as an fmpz_poly function, with
the fmpz_poly_q version being a thin wrapper. That's a minor detail
though...


> BTW, if there is time left in this project, vector rational
> reconstruction would be great to have as well:
>
> https://cs.uwaterloo.ca/~astorjoh/issac11ratrecon.pdf
>


It is clear that there are a million things that would be useful :-)

Of course a GSoC project could only cover perhaps 1-3 of them.

Fredrik

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