That is reminiscent of how things are implemented in the polys module.
It's not clear to me that those ideas can extend to less rigorously
defined rings and fields (at least not without first rigorously
defining them).

Aaron Meurer

On Tue, Nov 12, 2013 at 3:52 PM, Ondřej Čertík <[email protected]> wrote:
> Hi,
>
> So there is this whole Parent/coercion machinery in Sage:
>
> http://www.sagemath.org/doc/tutorial/tour_coercion.html
> http://www.sagemath.org/doc/reference/coercion/
>
> Isn't this what you are trying to design?
>
> Ondrej
>
> On Tue, Nov 12, 2013 at 3:40 PM, Aaron Meurer <[email protected]> wrote:
>> I'm not a fan of the syntax, but otherwise I think you have the right idea.
>>
>> Aaron Meurer
>>
>> On Tue, Nov 12, 2013 at 1:24 AM, F. B. <[email protected]> wrote:
>>> Obviously, Add could change its template according to the cases:
>>>
>>> Add(x, y) ===> Add[AssocOp](x, y)
>>> Add(x, y) + Add(oo,1) ===> Add(Add[AssocOp](x,y), Add[InfinitiesT](oo))
>>>     ===> Add[InfinitiesT](x,y,oo)
>>>
>>> Add's __new__ constructor could be dispatched to handle specific cases for
>>> these templates.
>>>
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