On 8 February 2016 at 10:13, David Loeffler <[email protected]> wrote:
>
> On 6 February 2016 at 22:48, Volker Braun <[email protected]> wrote:
>>
>> So as long as the elements are sortable a set is just as good as a list
>> for doctests purposes.
>
>
>
> Isn't that the whole point of this discussion: that number field elements
> are presently *not* sortable, in any consistent and reliable way?

Yes.

I very much like Nils and David R's suggestion, particularly in Nils's
version where each number field can have one or more methods for
sorting its own elements --perhaps based on the ideas I presented, but
including at least one which is very fast a default, perhaps based on
the string representation.  Then anyone who, like me, needs to sort
n.f. elements in a specific way can see which methods are available,
and even add a new one if want to.

I hope others will help in implementing this -- but be prepared for a
lot of doctest outputs to be nchaed on account of such a change in
order.  This could be a time to (for instance) make roots() return a
set instead of a list, but that would require even more changes
everywhere so I would prefer that change to happen later, if at all.

John

>
> David
>
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