The difference between the toric lattice computations and the root
lattices is that the (co)weight lattices are one of the main features
of interest to the end user, while the various toric lattices are
mostly of internal use for computing something else.

I don't have a strong opinion against long-style names except that
there will be some very long names to accommodate some often-used
constructions. If nobody minds

cone.spanned_lattice_dual_quotient_by_spanned_lattice_dual_basis(supercone)

then I'll be happy to change things. Right now its
cone.M_quotient_basis(supercone) which, I agree, is not as self-
explanatory. But then, this is not something that you are dying to
compute on a normal day.

Volker



On Jun 23, 9:57 pm, Andrey Novoseltsev <novos...@gmail.com> wrote:
> > My general two cents: explicit (=long) is better than implicit
> > (=short). However it should be easy for the user to define its own short
> > names.
>
> My proposal in the ticket was to add a function that will create short
> synonims for all such methods, if a user so desires. Of course, if
> this is done, the internal code should use the "default" names only,
> to allow both versions to work.

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