Fri 2018-06-08 06:21:45 UTC, Dima Pasechnik:
>
> ceil() is a standard Python function.
> Thus, Sagemath has to live with it.

If we look at object methods rather than functions
in the global namespace, it is already the case that
both ceil and ceiling are available, with one of them
an alias to the other.

Try this for example:

    sage: a = 0.1
    sage: a.cei<TAB>

where <TAB> denotes hitting the TAB key.
You will see that autocompletion suggests a.ceil and a.ceiling.

Then if you do

    sage: a.ceil?
    sage: a.ceiling?

you will see they have the same documentation.

The source code reveals that in this case ceil is
implemented, and ceiling is an alias to ceil:

https://github.com/sagemath/sage/blob/master/src/sage/rings/real_mpfr.pyx#L2866
https://github.com/sagemath/sage/blob/master/src/sage/rings/real_mpfr.pyx#L2897

You could likewise explore other types of numbers in Sage.

Regarding the function in the global namespace,
we could add ceiling as an alias to ceil.

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