intmath -> math.integer

Author: skirpichev

peps/pep-0791.rst

@@ -1,5 +1,5 @@
 PEP: 791
-Title: intmath --- module for integer-specific mathematics functions
+Title: math.integer --- submodule for integer-specific mathematics functions
 Author: Sergey B Kirpichev <[email protected]>
 Sponsor: Victor Stinner <[email protected]>
 Discussions-To: https://discuss.python.org/t/92548
@@ -34,7 +34,7 @@ explicitly noted otherwise, all return values are floats."  This is no longer
 true:  *None* of the functions listed in the `Number-theoretic functions
 <https://docs.python.org/3.14/library/math.html#number-theoretic-functions>`_
 subsection of the documentation return a float, but the documentation doesn't
-say so.  In the documentation for the proposed ``intmath`` module the sentence
+say so.  In the documentation for the proposed ``math.integer`` submodule the sentence
 "All return values are integers" would be accurate.  In a similar way we can
 simplify the description of the accepted arguments for functions in both the
 new module and in :external+py3.14:mod:`math`.
@@ -129,8 +129,7 @@ Specification
 =============
 
 The PEP proposes moving the following integer-related functions to a new
-module, called ``intmath`` (see `Open Issues`_ for alternatives for
-it's name):
+submodule, called ``math.integer``:
 
 * :external+py3.14:func:`~math.comb`
 * :external+py3.14:func:`~math.factorial`
@@ -207,18 +206,18 @@ is ultimately a different function: it is the floor of the square root.  It
 would be confusing to give it the same name (under a different module).
 
 
-Open Issues
-===========
+Module name
+-----------
 
 `Polling showed <https://discuss.python.org/t/92548/67>`_ ``intmath`` as most
 popular candidate with ``imath`` as a second winner.
 
 Other proposed names include ``ntheory`` (like SymPy's submodule),
 ``integermath``, ``zmath``, ``dmath`` and ``imaths``.
 
-As a variant, the new module can be added as a submodule of the
-:external+py3.14:mod:`math`: ``integer`` (most preferred), ``discrete`` or
-``ntheory`` (author preference).
+But the SC prefers a submodule rather than a new top-level module.  Most
+popular variants of the :external+py3.14:mod:`math`'s submodule are:
+``integer``, ``discrete`` or ``ntheory`` (author preference).
 
 
 Acknowledgements