On Thu, Mar 10, 2016 at 11:34 AM, Fredrik Johansson
<fredrik.johans...@gmail.com> wrote:
> Minor correction: RR exponents are not *arbitrary* precision, though much
> higher precision than RDF. This still happens:
>
> sage: RR("1e99999999999999999999")
> +infinity
>
> RBF, mpmath, and (if I remember correctly) also Python's Decimal do have
> arbitrary precision exponents. You can do this:
Thanks for pointing out that mpmath has arbitrary exponents -- I
wasn't aware of that and it could come in handy.
>> I called it "RealField" for consistency with Magma, which has
>> precisely the same model. Consistency with Magma is valuable.
>>
>
> IMHO, it's a mistake to look at any single software for guidance. Magma,
Sure -- I was just explaining why it is called RealField. In 2004
mpmath didn't exist.
> ...] My own biased opinion is also that interval arithmetic should
> be used and encouraged more in Sage...
Interval arithmetic is pretty good and a lot more could be done with
it. A lot was in place in Sage before interval arithmetic was
available (in Sage), or it might be used more.
> I would also like lazy real numbers
> to be more useful than they are currently, and overall it would be nice to
> have numerical functionality much better integrated with symbolic
> expressions (which is something that Mathematica does *extremely* well).
>
> Fredrik
>
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William (http://wstein.org)
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