On Friday, October 23, 2020 at 2:09:05 AM UTC+2 emanuel.c...@gmail.com
wrote:
>
>
>> To the backward compatibility
>> reasons others have mentioned, I would add that for many people, "real
>> numbers" in a "computational" context *does* mean floating-point
>> numbers!
>>
>
> That's a bad (filthy ?) habit 60+ years of "scientific computing"
> indoctrinated us into, and that we should get rid of... if we can ! This of
> course hasn't even the slightest chance of working but for a convenient and
> reasonably efficient implementation of $\mathbb{R}$ (resp. $\mathbb{C}$...
>
Currently working on that (see http://fredrikj.net/calcium/ and
http://fredrikj.net/blog/2020/09/benchmarking-exact-dft-computation/).
But "convenient and reasonably efficient" is relative, and there are truly
no silver bullets in this domain...
Fredrik
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