On 23 October 2016 at 18:06, Vincent Delecroix
<20100.delecr...@gmail.com> wrote:
> PARI/GP is using Mod the way we want it
>
> ? Mod(2/3,5)
> %1 = Mod(4, 5)
> ? Mod(2/3,6)
>   *** Mod: impossible inverse in Fl_inv: Mod(3, 6).
>
> And Maple as well
>
>> 2/3 mod 5;
> 4
>> 2/3 mod 6;
> Error, the modular inverse does not exist
>
> This is a good reason to change the behavior of mod in Sage...

and we have mod_ui in Sage

sage: (2/3).mod_ui(5)
4
sage: (2/3).mod_ui(6)
Traceback (most recent call last):
...
ArithmeticError: The inverse of 3 modulo 6 is not defined.

(that of course overflow when its argument is too large)

I opened #21748 for doing that.

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