2014-03-13 12:59 UTC+01:00, Thierry <sage-googlesu...@lma.metelu.net>:
> On Thu, Mar 13, 2014 at 10:07:23AM +0100, Vincent Delecroix wrote:
>> 2014-03-13 9:28 UTC+01:00, Marc Mezzarobba <m...@mezzarobba.net>:
>> > Thierry wrote:
>> >> - rename RR as RFF (for "real floating field"), so that this
>> >> representation is not preferred than the others (especially RDF which
>> >> is faster and allows using more libraries, with the same 53 bits of
>> >> precision). The current name RR suggests it is the right default
>> >> choice.
>> >
>> > Yes, there seems to be a lot of confusion due to the set of 53-bit
>> > floating-point numbers being called "real field". See #11506 for a few
>> > examples.
>> >
>>
>> These examples are great ! It would be more natural to have
>> sage: Infinity in RFF and NaN in RFF     # real floating field
>> True
>> sage: Infinity in RR and NaN in RR         # real numbers
>> False
>
>
> Wile we are at it, create RRbar (in the sense of the natural
> two-ends compactification):
>
> sage: Infinity in RRbar
> True
> sage: NaN in RRbar
> False

Nope, too confusing... the bars in QQbar and RRbar have two different meanings.

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