Re: [sage-support] Re: Sorting a list of number field elements

2012-03-22 Thread David Loeffler
On Wednesday, 21 March 2012 16:42:27 UTC, Emil wrote: > > Hi David, thanks for your reply! > > I was wondering if there is a way to automatically get the desired > embedding into AA. [snip] Do you think it is worth me making a > ticket for this? > That's more or less what the ticket 12715 I o

Re: [sage-support] Re: Sorting a list of number field elements

2012-03-21 Thread Emil
Hi David, thanks for your reply! I was wondering if there is a way to automatically get the desired embedding into AA. If I do: sage: Q=NumberField(x^2-2,'x',embedding=1.41) sage: x=Q.gen() sage: float(x) 1.4142135623730949 Then, I've made a field with an embedding, so really there should only b

[sage-support] Re: Sorting a list of number field elements

2012-03-21 Thread David Loeffler
On Tuesday, 20 March 2012 22:26:35 UTC, David Loeffler wrote: > > This doesn't really answer your question, of course. If you really do want > to sort according to a given real embedding and you don't want to be > trapped by numerical precision issues, then the right tool for the job is > the

[sage-support] Re: Sorting a list of number field elements

2012-03-20 Thread David Loeffler
Dear Emil, There's a bit of a tug of war going on with comparison for number field elements. On the one hand, it should always be possible to compare two elements of a given number field, and the resulting ordering should be a total order and one that's deterministic and quick to compute. On th