On Jul 1, 2009, at 1:22 AM, Kwankyu wrote:

> Hi,
>
> I am trying to understand the coercion model...
>
> In the followiing, C is a parent that I defined, in which (I think) I
> implemented a coercion map from P to C, but not from ZZ to C.
>
> sage: P
> Multivariate Polynomial Ring in x, y over Finite Field in a of size
> 2^4
> sage: C.has_coerce_map_from(P)
> True
> sage: P.has_coerce_map_from(ZZ)
> True
> sage: C.has_coerce_map_from(ZZ)
> False
>
> I expected the coercion model automatically finds the coercion map
> from ZZ to C for me. Isn't this the way that the coercion model works?

It does some deduction, but given C and ZZ alone, it would have  
trouble guessing that P is the "connecting" ring. (If P is the  
base_ring of C, or was passed in via _populate_coercion_lists_ then  
it can deduce this.)

- Robert



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