On Fri, Oct 23, 2020 at 8:04 AM Vincent Delecroix
<20100.delecr...@gmail.com> wrote:
>
> Le 23/10/2020 à 08:38, Kwankyu Lee a écrit :
> >
> >>
> >> Currently working on that (see http://fredrikj.net/calcium/ and
> >> http://fredrikj.net/blog/2020/09/benchmarking-exact-dft-computation/).
> >>
> >
> > Looks great! The standard question is then: do you think your library fits
> > for the throne of RealField and could rule peacefully other "real fields"
> > of Sage?
> >
>
> The answer is no. The GenuineRealField is not meant to have elements.

Are we now into computing with uncomputable ?
The next non-virtual Sagemath event is in danger of turning into a bacchanalia,
as it'll have unlimited supply of wine from an unmeasurable bottle
from Bordeaux... :P

For all practical purposes, it seems that Calcium is ripe for becoming an
important part of Sage. Anyone working on it?

Dima

> Even though Calcium is doing an amazing job at symbolic computations
> with real numbers and might contain all other exact implementations
> there is in SageMath, it will remain a set of computable real
> numbers. That is a tiny subset of all the real numbers.
>
> The need for a GenuineRealField is explained in
>
>      https://trac.sagemath.org/ticket/24456
>
> Vincent
>
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