On 13 October 2017 at 08:37, Simon Brandhorst <sbrandho...@web.de> wrote:
> The testsuite runs now. A long list of rings would be helpful.
>
> Some Pids i care about:
> ZZ[\zeta_n] of degree <= 20, (they are in fact euclidean)
> QQ(\sqrt(d)) of class number one.
> F[x] for F any field. (probably these are not really working well enough)

How about a PID whcih is *not* Euclidean such as Z[a] with a^2+a+5=0
(i.e. ring if integers in Q(sqrt(-19))?

>
> More ideas?
>
>
>
> On Friday, October 13, 2017 at 9:14:36 AM UTC+2, Simon Brandhorst wrote:
>>
>> https://trac.sagemath.org/ticket/24027
>>
>> In order to do good testing. Do we have a nice list of PIDs?
>>
>> On Friday, October 13, 2017 at 9:07:00 AM UTC+2, Simon Brandhorst wrote:
>>>
>>> Yep, adding doc tests over other rings is the minimum requirement.  I can
>>> do that.
>>> Yet I would print a warning message for some time. I would expect some
>>> bugs to be leftover in any case.
>>> -- Simon
>>>
>>> On Thursday, October 12, 2017 at 8:35:14 PM UTC+2, William wrote:
>>>>
>>>> Hi,
>>>>
>>>> I'm really happy to hear people are giving this code some attention!
>>>>
>>>> I wrote the original FGP package.  At the time, there was no support for
>>>> computing HNF or anything else except for ZZ, so I couldn't even test or 
>>>> try
>>>> the algorithms there.  I **might** have made some assumptions about the 
>>>> base
>>>> ring being ZZ for simplicity due to this, but I hope I didn't.  I don't
>>>> remember -- it was a long time ago.
>>>>
>>>> The only reason this hasn't moved forward after more support for HNF was
>>>> added for other PIDs is that I'm busy with other things these days.   I 
>>>> hope
>>>> somebody else will take over.    If I was working on this code, I would go
>>>> through the module and add a ton of doctests analogous to the existing 
>>>> tests
>>>> over ZZ, but over some other PID's.   I definitely, definitely would NOT
>>>> even consider just enabling this functionality with a warning message, and
>>>> crossing my fingers like Simon seems to be suggestion below.  I strongly
>>>> object to that.   I endorse:
>>>>
>>>>  - enable the functionality
>>>>  - write a bunch of new doctests showing how (and that) it works.
>>>>  - then release it publicly.
>>>>
>>>> If it does work, doing the above is maybe 1 day of work.  If it doesn't
>>>> work, so the above is much harder than 1 day of work, then we shouldn't 
>>>> have
>>>> released it in the first place.
>>>>
>>>> Again, Simon, I'm really happy you're looking into this and making this
>>>> more general functionality available.  I was pretty happy with my original
>>>> FGP implementation, which was a lot of work one summer years ago...
>>>>
>>>>  -- William
>>>>
>>>> On Thu, Oct 12, 2017 at 8:48 AM Simon Brandhorst <sbran...@web.de>
>>>> wrote:
>>>>>
>>>>> O.K. I will do that. Even if we do not have enough tests. Maybe we can
>>>>> allow it and print some
>>>>> "This code is still experimental" warning. After all it will only get
>>>>> really stable is people use it a lot.
>>>>>
>>>>> On Thursday, October 12, 2017 at 5:06:20 PM UTC+2, Simon Brandhorst
>>>>> wrote:
>>>>>>
>>>>>> sage: L.<w> = NumberField(x^2 - x + 2)
>>>>>> sage: OL = L.ring_of_integers()
>>>>>> sage: V = OL**3; W = V.span([[0,w,0], [1,0,1-w]], OL)
>>>>>> sage: FGP_Module(V,W)
>>>>>> This works
>>>>>>
>>>>>> sage: V.quotient(W)
>>>>>> NotImplementedError: quotients of modules over rings other than fields
>>>>>> or ZZ is not fully implemented
>>>>>>
>>>>>>
>>>>>> Well FGP looks pretty implemented to me.
>>>>>>
>>>>>> Objections?
>>>>>
>>>>> --
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>>>>
>>>> --
>>>> -- William Stein
>
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