The math module docs state

Except when explicitly noted otherwise, all return values are floats.

But math.factorial isn't what I would call explicit about returning int:

math.factorial(x)
    Return x factorial. Raises ValueError if x is not integral or is negative.

At minimum, shouldn't the first sentence be "Return x factorial as an int."? I haven't tested on all Python versions, but math.factorial on 2.7 and 3.2 definitely return int (or long in Python 2 when necessary).

I agree.  In testing, I discovered this bug
>>> factorial(decimal.Decimal(5.2))
120
I don't know if this is a glitch in factorial or Decimal.

I also noticed
>>> fac(fractions.Fraction(4, 1))
Traceback (most recent call last):
  File "<pyshell#10>", line 1, in <module>
    fac(fractions.Fraction(4, 1))
TypeError: an integer is required (got type Fraction)
Perhaps this is due to no __int__ method.

[Terry]

>>> factorial(decimal.Decimal(5.2))
120

Yep, that's definitely wrong. If we want to behave the same way as for float, we should accept only integral Decimal values. (Though I'm not much of a fan of the float behaviour: I would have preferred math.factorial not to accept floats at all.)

States that math.factorial(x) returns x factorial as an integer.

Should the documentation patch for this be converted to a PR or does this need to change to a bug issue to address Mark's concerns?

Thanks!

> Should the documentation patch for this be converted to a PR

I think so, yes. How about we open a new issue for the factorial(Decimal(...)) behaviour, and keep this one focused on the original reported issue?

Sounds good.  Thanks, Mark.

@mine0901, would you like to open a Github pull request for your patch?  Thanks!

I opened #33083, and copied the nosy list from this issue across.

New changeset 4612671df2742eade8ecf8003a6ce1247973c135 by Cheryl Sabella (Akshay Sharma) in branch 'master':
bpo-25735: math.factorial doc should mention integer return type (GH-6420)
https://github.com/python/cpython/commit/4612671df2742eade8ecf8003a6ce1247973c135

@John.Yeung, thank you for the report.  @mine0901, thanks for the initial patch and @akshaysharma, thank you for the PR.

New changeset fc3b8437c86167983cc75e5a9a3ed1dc542a1b79 by Miss Islington (bot) in branch '3.7':
bpo-25735: math.factorial doc should mention integer return type (GH-6420)
https://github.com/python/cpython/commit/fc3b8437c86167983cc75e5a9a3ed1dc542a1b79