OK, here is my proposal.
I think clearly the namespace injection thing is very useful in some
*specific* contexts,
for example, interactive commutative algebra. In many other contexts it
could suck
because its potentially confusing. Thus here is my proposal.
(1) The default behavior is exactly as in Python 1.4, i.e., no namespace
injection
and one has the R.<x,y,z> = PolynomialRing(QQ,3) constructor. I'll
rework the
preparser to make sure this can be done with violating global
uniqueness of
parent structures (i.e., I'll not use assign_names).
(2) There is a mode that users can turn on if they want, which does the
namespace
injection. They type inject_on() to turn it on. They can put this in
their
init.sage startup file. Doing inject_on replaces certain constructors
with
wrappers that do namespace injection.
(3) If R is any structure with generators, R.inject_names(dict) will inject
the variable names of R into the given dictionary (which, e.g., could
be globals()).
-- William
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