On Thu, Jun 12, 2014 at 10:19 AM, Vincent Delecroix
<20100.delecr...@gmail.com> wrote:
> 2014-06-12 19:13 UTC+02:00, Robert Bradshaw <rober...@gmail.com>:
>> On Thu, Jun 12, 2014 at 12:50 AM, Marc Mezzarobba <m...@mezzarobba.net>
>> wrote:
>>
>>> But here is a similar example right from the Sage library (adapted from
>>> http://wiki.sagemath.org/EqualityCoercion):
>>>
>>> sage: FiniteEnumeratedSet(GF(3))
>>> {0, 1, 2}
>>> sage: add(FiniteEnumeratedSet([0,1,2]))
>>> 0
>>
>> Um, isn't that what you want? The sum of the elements of GF(p^e) for
>> any odd prime is zero, which is a handy property.
>
> In two fresh Sage consoles
> {{{
> sage: sum(FiniteEnumeratedSet([0,1,2]))
> 3
> }}}
> and
> {{{
> sage: FiniteEnumeratedSet(GF(3))
> sage: sum(FiniteEnumeratedSet([0,1,2]))
> 0
> }}}
>
> Because FiniteEnumeratedSet has a cache on the input!

Oh, ouch. +1 to using (parent(x), x) as the key.

On Thu, Jun 12, 2014 at 12:51 PM, Jori Mantysalo <jori.mantys...@uta.fi> wrote:
> Just a side note:
>
> On Thu, 12 Jun 2014, Robert Bradshaw wrote:
>
>> I'll second this. Are there *any* computer algebra systems (or
>> programming languages for that matter) out there such that 4/2 != 2 !=
>> 2.0? Code would simply be too hard to write.
>
> Ada, I guess. It should give error if you try to compare integer with float.

Ah, no wonder it's so widely used :).

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