Infinite integer in Python

Question

Python 3 has float(\'inf\') and Decimal(\'Infinity\') but no int(\'inf\'). So, why a number representing the infinite set of integers is m

Answer 1

You are right that an integer infinity is possible, and that none has been added to the Python standard. This is probably because math.inf supplants it in almost all cases (as Martijn stated in his comment).

In the meantime, I added an implementation of extended integers on PyPI:

In [0]: from numbers import Integral, Real

In [0]: from extended_int import int_inf, ExtendedIntegral, Infinite

In [0]: i = int_inf

In [4]: float(i)
Out[4]: inf

In [5]: print(i)
inf

In [6]: i ** i

Out[6]: inf

In [7]: i
Out[7]: inf

In [9]: isinstance(i, Real)

Out[9]: True

In [10]: isinstance(i, Integral)

Out[10]: False

In [11]: isinstance(i, Infinite)

Out[11]: True

In [12]: isinstance(i, ExtendedIntegral)

Out[12]: True

In [13]: isinstance(2, ExtendedIntegral)

Out[13]: True

In [14]: isinstance(2, Infinite)

Out[14]: False