RefFlatten is an optimization pass for the SSA2 IntermediateLanguage, invoked from SSA2Simplify.

Description

This pass flattens a ref cell into its containing object. The idea is to replace, where possible, a type like

   (int ref * real)

with a type like

   (int[m] * real)

where the [m] indicates a mutable field of a tuple.

Implementation

ref-flatten.sig ref-flatten.fun

Details and Notes

The savings is obvious, I hope. We avoid an extra heap-allocated object for the ref, which in the above case saves two words. We also save the time and code for the extra indirection at each get and set. There are lots of useful data structures (singly-linked and doubly-linked lists, union-find, Fibonacci heaps, ...) that I believe we are paying through the nose right now because of the absence of ref flattening.

The idea is to compute for each occurrence of a ref type in the program whether or not that ref can be represented as an offset of some object (constructor or tuple). As before, a unification-based whole-program with deep abstract values makes sure the analysis is consistent.

The only syntactic part of the analysis that remains is the part that checks that for a variable bound to a value constructed by Ref_ref:

• the object allocation is in the same block. This is pretty draconian, and it would be nice to generalize it some day to allow flattening as long as the ref allocation and object allocation "line up one-to-one" in the same loop-free chunk of code.

• updates occur in the same block (and hence it is safe-for-space because the containing object is still alive). It would be nice to relax this to allow updates as long as it can be proved that the container is live.

Prevent flattening of unit refs.

RefFlatten is safe for space. The idea is to prevent a ref being flattened into an object that has a component of unbounded size (other than possibly the ref itself) unless we can prove that at each point the ref is live, then the containing object is live too. I used a pretty simple approximation to liveness.