Hey everyone,
The following gives a PicklingError:
sage: P = Partitions(5, max_length=4)
sage: loads(dumps(P))
The actual object created in an instance of `IntegerListsLex`, and the
pickling error is due to the fact that the global options
`PartitionOptions` cannot pickled since it passes lambda functions as
parameters. The ParittionOptions cannot be pickled is okay IMO since there
is a unique such global object in Sage. However, this causes problems when
creating partitions with constraints (for my purposes, I need all
partitions of a bounded max length). The solution is to create a new class
which has class attributes at least for the global options, in fact I'd
also give it an `Element` as well (and perhaps inherit from `Partitions` --
I haven't tried that yet to see if things break):
class Partitions_constraints_new(IntegerListsLex):
Element = Partition
global_options = _Partitions.global_options
So I have a few questions about this right now. Do we want to still keep
backwards compatible unpickling of (very) old `Partitions_constraints`
(below sage-3.4.1), and if so, what should we call this new class? Do we
want to be able to pass things like NN to `Partitions` (and use this class)
and/or continue to allow `IntegerListsLex` to vary over a range of n?
Here's my opinion: I think we should drop the unpickling of these very
old objects. We should not allow `IntegerListsLex` to range over n, and
instead use `DisjointEnumeratedSet`. Subsequently we should allow NN to be
passed to `Partitions` and have that return a `DisjointEnumeratedSet` of
the respective objects. I'd create the first ticket which fixes the
pickling error above and replaced `Partitions_constraints` with my proposed
class above.
Best,
Travis
PS - More bad puns to follow :P
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