[3.13] gh-133904: Fix math.factorial documentation (GH-133907) (#133922)

* [3.13] gh-133904: Fix `math.factorial` documentation (GH-133907)
(cherry picked from commit 27ed64575d)

Co-authored-by: mkaraev <maruf.karaev97@gmail.com>
Co-authored-by: sobolevn <mail@sobolevn.me>

Doc/library/math.rst

@@ -144,8 +144,7 @@ Number-theoretic functions
 
 .. function:: factorial(n)
 
-   Return *n* factorial as an integer.  Raises :exc:`ValueError` if *n* is not integral or
+   Return factorial of the nonnegative integer *n*.
-   is negative.
 
    .. versionchanged:: 3.10
       Floats with integral values (like ``5.0``) are no longer accepted.

Modules/clinic/mathmodule.c.h

@@ -54,9 +54,7 @@ PyDoc_STRVAR(math_factorial__doc__,
 "factorial($module, n, /)\n"
 "--\n"
 "\n"
-"Find n!.\n"
+"Find n!.");
-"\n"
-"Raise a ValueError if x is negative or non-integral.");
 
 #define MATH_FACTORIAL_METHODDEF    \
     {"factorial", (PyCFunction)math_factorial, METH_O, math_factorial__doc__},
@@ -1011,4 +1009,4 @@ math_ulp(PyObject *module, PyObject *arg)
 exit:
     return return_value;
 }
-/*[clinic end generated code: output=755da3b1dbd9e45f input=a9049054013a1b77]*/
+/*[clinic end generated code: output=9fe02dc4af07c1e0 input=a9049054013a1b77]*/

Modules/mathmodule.c

@@ -2009,13 +2009,11 @@ math.factorial
     /
 
 Find n!.
-
-Raise a ValueError if x is negative or non-integral.
 [clinic start generated code]*/
 
 static PyObject *
 math_factorial(PyObject *module, PyObject *arg)
-/*[clinic end generated code: output=6686f26fae00e9ca input=713fb771677e8c31]*/
+/*[clinic end generated code: output=6686f26fae00e9ca input=366cc321df3d4773]*/
 {
     long x, two_valuation;
     int overflow;