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littlefs/tests
Christopher Haster 135bb17409 Tweaked named btrees to support strict key->value mapping
We don't strictly need this for the mtree, but its impact is pretty
minimal, and it's useful for some future plans. It also makes low-level
benchmarks a bit easier to write.

The main change involves subtleties around vestigial names in leaf
rbyds (the bottom most layer of btree inner nodes). Since the mtree
terminates in mdirs, the left-most mdir in each leaf rbyd in the mtree
never actually needs a name. But in a hypothetical strict key->value
tree, every entry in the leaf rbyds need a name, and this name needs to
be respected during btree operations (mainly merges).

As a side-effect, our named btrees now require vestigial names for every
inner btree node, with the exception of the left-most inner nodes since
those can't be merged left with anything. On the bright side, being able
to assume a vestigial name on every mergable node does simplify merge
operations a bit.

It's worth noting that despite these changes, we still update vestigial
names on inner btree nodes lazily. It isn't super clear that this should
work, but it turns out that even though a leaf nodes may diverge from
the vestigial name in it's parent, it must still following the bounds of
the parent's vestigial name because of how btree lookups work. And this
property propagates up though each layer in the btree:

             .---------------.
             |a: |h: |->     |
             '--|---|--------'
            .---'   '----------.
            v                  v
    .---------------.  .---------------.
    |a: |c: |       |  |i: |m: |->     |
    '--|---|--------'  '--|---|--------'
  ...--'   |              |   '--------...
           v              v
    .---------------.  .---------------.
    |d:0|e:1|f:2|-> |  |j:3|k:4|l:5|-> |
    '---------------'  '---------------'

The exception are the left-most inner nodes, but these can never merge
left, so it doesn't really matter. The vestigial names on the left-most
inner nodes are truly vestigial:

                    .---------------.
                    |c: |e: |->     |
                    '--|---|--------'
                   .---'   '--------...
                   v
           .---------------.
           |b: |d: |       |
           '--|---|--------'
          .---'   '-------...
          v
  .---------------.
  |a:0|b:1|c:2|-> |
  '---------------'

An alternative implementation may prefer to update these names eagerly,
but this would increase the amount of data written to each inner node
during btree commits. mdir updates are lazy by necessity, so even if you
adopted eager updates, the names of deleted files would still stick
around.
2023-11-09 00:10:09 -06:00
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