Arnab has a really interesting presentation at the post-hadoop-summit
Pig meeting about how Cubing could work in Map-Reduce, and suggested a
straightforward path to integrating into Pig. Arnab, do you have the
presentation posted somewhere?

In any case, I started mucking around a little with this, trying to
hack in the naive solution.

So far, one interesting result, followed by a question:

I manually cubed by writing a bunch of group-bys, like so (using pig 8) :

ab = foreach (group rel by (a, b)) generate flatten(group) as (a, b),
COUNT_STAR(rel) as cnt;
a_only = foreach (group rel by (a, null)) generate flatten(group) as
(a, b), COUNT_STAR(rel) as cnt;
b_only = foreach (group rel by (null, b)) generate flatten(group) as
(a, b), COUNT_STAR(rel) as cnt;
ab = foreach (group rel by (null, null)) generate flatten(group) as
(a, b), COUNT_STAR(rel) as cnt;
cube = union ab, a_only, b_only, ab;
store cube ....

Except for extra fun, I did this with 3 dimensions and therefore 8
groupings. This generated 4 MR jobs, the first of which moved all the
data across the wire despite the fact that COUNT_STAR is algebraic. On
my test dataset, the work took 18 minutes.

I then wrote a UDF that given a tuple, created all the cube dimensions
of the tuple -- so CubeDimensions(a, b) returns { (a, b), (a, null),
(null, b), (null, null) }, and this works on any number of dimensions.
The naive cube then simply becomes this:

cubed = foreach rel generate flatten(CubeDimensions(a, b));
cube = foreach (group rel by $0) generate flatten(group) as (a, b),
COUNT_STAR(rel);

On the same dataset, this generated only 1 MR job, and ran in 3
minutes because we were able to take advantage of the combiners!

Assuming algebraic aggregations, this is actually pretty good given
how little work it involves.

I looked at adding a new operator that would be (for now) syntactic
sugar around this pattern -- basically, "CUBE rel by (a, b, c)" would
insert the operators equivalent to the code above.

I can muddle my way through the grammar. What's the appropriate place
to put the translation logic? Logical to physical compiler? Optimizer?
The LogicalPlanBuilder?

D

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