On Monday, May 9, 2016 at 2:40:02 PM UTC+2, mmarco wrote:
> Right now Sage can convert seamlessly between polynomial rings and symbolic 
> ring. I am trying to extend this ability to Laurent polynomial rings.
> 
> 
> I have already worked out the conversion to symbolic ring, by defining a 
> method called _symbolic_ in the LaurentPolynomial classes. But now I am not 
> sure which whould be the right way to proceed. I have considered the 
> following options:
> 
> 
> 1) Modifying the LaurentPolynomialRing to declare a convert_method_name 
> during creation, and then implement this convert method in symbolic 
> expressions.
> 
> 
> 2) Modify the element constructor of LaurentPolynomials to check if the input 
> is a symbolic expression and then try to construct the polynomial from it.
> 
> 
> Which is the recommended one?

I am not sure if either is necessary. My first attempt would
be to change Expression.polynomial() to catch all relevant 
cases, shift right, convert to normal polynomial, convert that
to a Laurent polynomial, and finally shift left.

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