Dear Carl,
thank you for your explanations.
> The 'int' (and its bignum counterpart, 'long') are native Python
> types. As far as I know, we don't modify Python at all; removing
> 'int' would be major surgery, and we're not going to do it.
>
> 'Integer' is a Sage type. This means it has lots of useful
> mathematical convenience methods (like .is_square()), it participates
> in the coercion model, etc. Also, 'Integer' is implemented with GMP,
> and 'long' is not, so 'Integer' is much faster for large numbers.
Would it be possible to extend long by new methods like is_square, and get
rid of Integer?
I guess 'long' is based on GMP too, does it make sense to have two concurrent
interfaces to GMP integers?
Paul Zimmermann
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