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.
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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