On Thu, Mar 7, 2019 at 2:24 PM Simon King <simon.k...@uni-jena.de> wrote:
>
> Hi Erik,
>
> On 2019-03-06, E. Madison Bray <erik.m.b...@gmail.com> wrote:
> > and also Python 2 always rounds half-integers up, whereas
> > Python 3 rounds even half-integers down and odd half-integers up.
>
> What the heck?? Is there any widely accepted industry standard for that
> "odd" rule? Why not round down half-integers whose cross total in
> hexagesimal representation has an odd number of prime divisors, and
> round up otherwise? </sarcasm>

This is completely normal:
https://en.wikipedia.org/wiki/Rounding#Round_half_to_even

> > On Python 3, when giving a non-zero argument for the second
> > argument--rounding to a decimal place--it always returns a float.
> >
> > Also on Python 3, an object a type that implements __round__ can
> > return any type it wants for round(obj).
>
> If I understand correctly, Sage currently uses .round() for customised
> rounding. Would it be a good idea to add a .__round__() method to
> sage.structure.element.Element that by default tries to return
> self.round()?

No, I don't think that would be useful--I don't think that really
solves any problem here or answers any of my questions, sorry.

If no one knows or can give a clear answer maybe I'll just do whatever
makes sense to me, and then absolve any responsibility if someone
complains later. Because I'm saying right now that I don't know what
the right thing to do here is, and if no one else knows either I'll
just have to make my best guess...

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