Note that because we amortize the traversal cost over the number of
entries, mtree traversal may have some strange looking results when
compared to mtree lookup.
Though it's interesting to note this is a valid result. In mtree lookups
we need to fetch the mdir for each entry, which is expensive. However
mtree traversal can strictly avoid fetching each mdir more than once.
This does make mdir traversal faster when iterating over all mdirs in
order.
This can be represented in big O notation if we treat the number of
entries (n) and block size (b) as variables:
- mtree traversal via lookup = O(nb+nlog(b)logb(n))
- mtree traversal via traversal = O(nlog(b)logb(n))
Christopher Haster
6a96866737