I'm not exactly sure what you mean by "function factorised" but regardless
I don't think it's a deep mystery. Just look at Gap.__getattr__

On Fri, Dec 14, 2018, 13:30 Dima Pasechnik <dimp...@gmail.com wrote:

> On Fri, Dec 14, 2018 at 11:54 AM E. Madison Bray <erik.m.b...@gmail.com>
> wrote:
> >
> > On Fri, Dec 14, 2018 at 12:17 PM Dima Pasechnik <dimp...@gmail.com>
> wrote:
> > >
> > > On Fri, Dec 14, 2018 at 11:10 AM E. Madison Bray <
> erik.m.b...@gmail.com> wrote:
> > > >
> > > > On Fri, Dec 14, 2018 at 11:55 AM Dima Pasechnik <dimp...@gmail.com>
> wrote:
> > > > >
> > > > > On Fri, Dec 14, 2018 at 10:19 AM E. Madison Bray <
> erik.m.b...@gmail.com> wrote:
> > > > > >
> > > > > > There is also an existing hard-coded list of function names that
> are
> > > > > > actually what's used for dir() and tab-completion, completely
> separate
> > > > > > from this module.  AFAICT this all_documented_functions module
> isn't
> > > > > > really used anywhere in Sage, and doesn't turn up much in the
> > > > > > documentation.  As Alex  Konovalov pointed out to me, the
> "example" in
> > > > > > all_documented_functions of doing `from
> > > > > > sage.libs.gaps.all_documented_functions import *` is probably
> not a
> > > > > > good idea in most cases anyways.  For example:
> > > > > >
> > > > > > sage: DihedralGroup(8)
> > > > > > Dihedral group of order 16 as a permutation group
> > > > > > sage: type(_)
> > > > > > <class
> 'sage.groups.perm_gps.permgroup_named.DihedralGroup_with_category'>
> > > > > > sage: from sage.libs.gap.all_documented_functions import *
> > > > > > sage: DihedralGroup(8)
> > > > > > <pc group of size 8 with 3 generators>
> > > > > > sage: type(_)
> > > > > > <type 'sage.libs.gap.element.GapElement'>
> > > > > >
> > > > > > Oops, this clobbers multiple existing built-ins in Sage.  Alex
> also
> > > > > > suggested that using IsDocumentedWord like this was perhaps
> > > > > > ill-considered in the first place.
> > > > > >
> > > > > > Given that it isn't actually used anywhere in Sage, and is not
> > > > > > particularly documented, and mostly seems to cause problems, it
> would
> > > > > > be best just to remove this?  Does anyone use it?
> > > > >
> > > > > it's used for tab completion and as well for directly calling
> libgap functions
> > > > > (otherwise you need to call libgap's function_factory on them):
> > > >
> > > > It isn't though.  You and Volker both seem to be confusing two
> > > > different things, unless I'm missing something.
> > > In all_documented_functions.py you see
> > >
> > > for _f in _FUNCTIONS:
> > >     globals()[_f] = libgap.function_factory(_f)
> >
> > ... yes, but, module-level code still does not get executed unless the
> > module is actually imported at some point, which it isn't.  I thought
> > the grep output I showed demonstrated this but go ahead and try it
> > yourself.  Remove both sage.libs.gap.assigned_names and
> > sage.libs.gap.all_documented_functions.  These modules are not used at
> > all by anything.
> >
> > > and this is exactly the "function_factorisation" of everything in
> > > sage.libs.gap.gap_functions
> > >
> > > So simply removing all_documented_functions.py will break a hell of a
> > > lot of code.
> > >
> > > (although there is of course nothing against merging
> sage.libs.gap.gap_functions
> > > and sage.libs.gap.all_documented_functions - unless I miss something)
> >
> > I think you're definitely missing something.
>
> Indeed, my bad, sorry. I was confusing these with libgap-prefixed things.
> I'm OK with removing sage.libs.gap.all_documented_functions
>
> It's still a mystery to me how some GAP functions are
> "function_factorised" though.
>
>
>
> >
> >
> > > >  Grep the sources
> > > > yourself: The module sage.libs.gap.all_documented_functions is not
> > > > referenced anywhere outside of itself:
> > > >
> > > > $ grep -R all_documented_functions src/sage
> > > > src/sage/libs/gap/all_documented_functions.py:    sage: from
> > > > sage.libs.gap.all_documented_functions import *
> > > >
> > > > What *is* used to provide directory/tab-completion is a different
> > > > module called sage.libs.gap.gap_functions, which just contains a
> > > > hard-coded list of strings naming various GAP functions.  In fact I
> > > > recently updated [1] this list because it contained some globals
> which
> > > > are not functions, as well as a few that no longer exist:
> > > >
> https://git.sagemath.org/sage.git/commit/?id=60d7eb69ffa7d402495717148879906639324244
> > > >
> > > > Actually, it would be good at least if the list in this module were
> > > > tested to ensure it remains valid.  When I updated it I did something
> > > > like
> > > >
> > > > for name in common_gap_functions:
> > > >     try:
> > > >         func = libgap.eval(name)
> > > >     except Exception as exc:
> > > >         print("{} possibly missing? Error: {}".format(name, exc)
> > > >         continue
> > > >
> > > >     if not IsFunction(func):
> > > >         print("{}: not a function".format(func))
> > > >
> > > >
> > > >
> > > >
> > > > > > On Tue, Dec 11, 2018 at 4:52 PM Volker Braun <
> vbraun.n...@gmail.com> wrote:
> > > > > > >
> > > > > > > This is basically the tab completion list in the Sage/libgap
> interface. As you found out, creating it on the fly is way too slow. Hence
> we cache a reasonable list of names.
> > > > > > >
> > > > > > >
> > > > > > >
> > > > > > >
> > > > > > > On Tuesday, December 11, 2018 at 9:52:53 AM UTC-5, E. Madison
> Bray wrote:
> > > > > > >>
> > > > > > >> In the sage.libs.gap package, in the assigned_names.py
> module, there
> > > > > > >> is a function called just list_functions() [1] which is
> documented to
> > > > > > >> "Return the GAP documented global functions".
> > > > > > >>
> > > > > > >> This is used in the all_documented_functions.py [2] module to
> create
> > > > > > >> Python wrappers for "all documented GAP functions, they can
> be thought
> > > > > > >> of as the official API of GAP".
> > > > > > >>
> > > > > > >> This turns out to create a bit of a problem: The GAP function
> > > > > > >> IsDocumentedWord, which this code uses to determine if a
> function is
> > > > > > >> "documented", works by searching for the function's name in
> all
> > > > > > >> documentation known to GAP.  By default this is just the
> standard GAP
> > > > > > >> reference docs.  However, if you have any GAP packages
> installed, it
> > > > > > >> will *also* search the docs for those packages.
> > > > > > >>
> > > > > > >> If you have lots of packages installed that means this is
> *extremely*
> > > > > > >> slow, even if we're just searching for terms that we only
> care about
> > > > > > >> being in the main GAP docs.
> > > > > > >>
> > > > > > >> Though perhaps it is a faulty assumption that this is "the
> official
> > > > > > >> API of GAP" in the first place.  Or at the very least,
> perhaps we
> > > > > > >> don't really need to care about whether or not the function is
> > > > > > >> "documented", and that just returning all global functions is
> good
> > > > > > >> enough for a first pass.
> > > > > > >>
> > > > > > >> But I'm not sure.  Volker wrote this code originally so he
> would know
> > > > > > >> best.  But what do we want to present as the "API" provided
> by Sage's
> > > > > > >> GAP interface?
> > > > > > >>
> > > > > > >>
> > > > > > >>
> > > > > > >>
> > > > > > >>
> > > > > > >>
> > > > > > >> [1]
> https://gitlab.com/sagemath/sage/blob/master/src/sage/libs/gap/assigned_names.py#L118
> > > > > > >> [2]
> https://gitlab.com/sagemath/sage/blob/master/src/sage/libs/gap/all_documented_functions.py
> > > > > > >
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