This is the start of (yet another) rework of rybd range removals, this
time in an effort to preserve the rby structure that maps to a balanced
2-3-4 tree. Specifically, the property that all search paths have the
same number of black edges (2-3-4 nodes).
This is currently incomplete, as you can probably tell from the mess,
but this commit at least gets a working altn/alta encoding in place
necessary for representing empty 2-3-4 nodes. More on that below.
---
First the problem:
My assumption, when implementing the previous range removal algorithms,
was that we only needed to maintain the existing height of the tree.
The existing rbyd operations limit the height to strictly log n. And
while we can't _reduce_ the height to maintain perfect balance, we can
at least avoid _increasing_ the height, which means the resulting tree
should have a height <= log n. Since our rbyds are bounded by the
block_size b, this means worst case our rbyd can never exceed a height
<= log b, right?
Well, not quite.
This is true the instance after the remove operation. But there is an
implicit assumption that future rbyd operations will still be able to
maintain height <= log n after the remove operation. This turns out to
not be true.
The problem is that our rbyd appends only maintain height <= log n if
our rby structure is preserved. If the rby structure is broken, rbyd
append assumes an rby structure that doesn't exist, which can lead to an
increasingly unbalanced tree.
Consider this happily balanced tree:
.-------o-------. .--------o
.---o---. .---o---. .---o---. |
.-o-. .-o-. .-o-. .-o-. .-o-. .-o-. |
.o. .o. .o. .o. .o. .o. .o. .o. .o. .o. .o. .o. |
a b c d e f g h i j k l m n o p => a b c d e f g h i
'------+------'
remove
After a range removal it looks pretty bad, but note the height is still
<= log n (old n not the new n). We are still <= log b.
But note what happens if we start to insert attrs into the short half of
the tree:
.--------o
.---o---. |
.-o-. .-o-. |
.o. .o. .o. .o. |
a b c d e f g h i
.-----o
.--------o .-+-r
.---o---. | | | |
.-o-. .-o-. | | | |
.o. .o. .o. .o. | | | |
a b c d e f g h i j'k'l'
.-------------o
.---o .---+-----r
.--------o .-o .-o .-o .-+-r
.---o---. | | | | | | | | | |
.-o-. .-o-. | | | | | | | | | |
.o. .o. .o. .o. | | | | | | | | | |
a b c d e f g h i j'k'l'm'n'o'p'q'r'
Our right side is generating a perfectly balanced tree as expected, but
the left side is suddenly twice as far from the root! height(r')=3,
height(a)=6!
The problem is when we append l', we don't really know how tall the tree
is. We only know l' has one black edge, which assuming rby structure is
preserved, means all other attrs must have one black edge, so creating a
new root is justified.
In reality this just makes the tree grow increasingly unbalanced,
increasing the height of the tree by worst case log n every range
removal.
---
It's interesting to note this was discovered while debugging
test_fwrite_overwrite, specifically:
test_fwrite_overwrite:1181h1g2i1gg2l15o10p11r1gg8s10
It turns out the append fragments -> delete fragments -> append/carve
block + becksum loop contains the perfect sequence of attrs necessary to
turn this tree inbalance into a linked-list!
.-> 0 data w1 1
.-b-> 1 data w1 1
| .-> 2 data w1 1
.-b-b-> 3 data w1 1
| .-> 4 data w1 1
| .-b-> 5 data w1 1
| | .-> 6 data w1 1
.---b-b-b-> 7 data w1 1
| .-> 8 data w1 1
| .-b-> 9 data w1 1
| | .-> 10 data w1 1
| .-b-b-> 11 data w1 1
| .-b-----> 12 data w1 1
.-y-y-------> 13 data w1 1
| .-> 14 data w1 1
.-y---------y-> 15 data w1 1
| .-> 16 data w1 1
.-y-----------y-> 17 data w1 1
| .-> 18 data w1 1
.-y-------------y-> 19 data w1 1
| .-> 20 data w1 1
.-y---------------y-> 21 data w1 1
| .-> 22 data w1 1
.-y-----------------y-> 23 data w1 1
| .-> 24 data w1 1
.-y-------------------y-> 25 data w1 1
| .---> 26 data w1 1
| | .-> 27-2047 block w2021 10
b-------------------r-b-> becksum 5
Note, to reproduce this you need to step through with a breakpoint on
lfsr_bshrub_commit. This only shows up in the file's intermediary btree,
which at the time of writing ends up at block 0xb8:
$ ./scripts/test.py \
test_fwrite_overwrite:1181h1g2i1gg2l15o10p11r1gg8s10 \
-ddisk --gdb -f
$ ./scripts/watch.py -Kdisk -b \
./scripts/dbgrbyd.py -b4096 disk 0xb8 -t
(then b lfsr_bshrub_commit and continue a bunch)
---
So, we need to preserve the rby structure.
Note pruning red/yellow alts is not an issue. These aren't black, so we
aren't changing the number of black edges in the tree. We've just
effectively reduced a 3/4 node into a 2/3 node:
.-> a
.---b-> b .-> a <- 2 black
| .---> c .-b-> b
| | .-> d | .-> c
b-r-b-> e <- rm => b-b-> d <- 2 black
The tricky bit is pruning black alts. Naively this changes the number of
black edges/2-3-4 nodes in the tree, which is bad:
.-> a
.-b-> b .-> a <- 2 black
| .-> c .-b-> b
b-b-> d <- rm => b---> c <- 1 black
It's tempting to just make the alt red at this point, effectively
merging the sibling 2-3-4 node. This maintains balance in the subtree,
but still removes a black edge, causing problems for our parent:
.-> a
.-b-> b .-> a <- 3 black
| .-> c .-b-> b
.-b-b-> d | .-> c
| .-> e .-b-b-> d
| .-b-> f | .---> e
| | .-> g | | .-> f
b-b-b-> h <- rm => b-r-b-> g <- 2 black
In theory you could propagate this all the way up to the root, and this
_would_ probably give you a perfect self-balancing range removal
algorithm... but it's recursive... and littlefs can't be recursive...
.-> s
.-b-> t .-> s
| .-> u .-----b-> t
.-b-b-> v | .-> u
| .-> w | .---b-> v
| .-b-> x | | .---> w
| | | | .-> y | | | | | | | .-> x
b-b- ... b-b-b-> z <- rm => r-b-r-b- ... r-b-r-b-> y
So instead, an alternative solution. What if we allowed black alts that
point nowhere? A sort of noop 2-3-4 node that serves only to maintain
the rby structure?
.-> a
.-b-> b .-> a <- 2 black
| .-> c .-b-> b
b-b-> d <- rm => b-b-> c <- 2 black
I guess that would technically make this 1-2-3-4 tree.
This does add extra overhead for writing noop alts, which are otherwise
useless, but it seems to solve most of our problems: 1. does not
increase the height of the tree, 2. maintains the rby structure, 3.
tail-recursive.
And, thanks to the preserved rby structure, we can say that in the worst
case our rbyds will never exceed height <= log b again, even with range
removals.
If we apply this strategy to our original example, you can see how the
preserved rby structure sort of "absorbs" new red alts, preventing
further unbalancing:
.-------o-------. .--------o
.---o---. .---o---. .---o---. o
.-o-. .-o-. .-o-. .-o-. .-o-. .-o-. o
.o. .o. .o. .o. .o. .o. .o. .o. .o. .o. .o. .o. o
a b c d e f g h i j k l m n o p => a b c d e f g h i
'------+------'
remove
Reinserting:
.--------o
.---o---. o
.-o-. .-o-. o
.o. .o. .o. .o. o
a b c d e f g h i
.----------------o
.---o---. o
.-o-. .-o-. .------o
.o. .o. .o. .o. .o. .-+-r
a b c d e f g h i j'k'l'm'
.----------------------------o
.---o---. .-------------o
.-o-. .-o-. .---o .---+-----r
.o. .o. .o. .o. .-o .-o .-o .-o .-+-r
a b c d e f g h i j'k'l'm'n'o'p'q'r's'
Much better!
---
This commit makes some big steps towards this solution, mainly codifying
a now-special alt-never/alt-always (altn/alta) encoding to represent
these noop 1 nodes.
Technically, since null (0) tags are not allowed, these already exist as
altle 0/altgt 0 and don't need any extra carve-out encoding-wise:
LFSR_TAG_ALT 0x4kkk v1dc kkkk -kkk kkkk
LFSR_TAG_ALTN 0x4000 v10c 0000 -000 0000
LFSR_TAG_ALTA 0x6000 v11c 0000 -000 0000
We actually already used altas to terminate unreachable tags during
range removals, but this behavior was implicit. Now, altns have very
special treatment as a part of determining bounds during appendattr
(both unreachable gt/le alts are represented as altns). For this reason
I think the new names are warranted.
I've also added these encodings to the dbg*.py scripts for, well,
debuggability, and added a special case to dbgrby.py -j to avoid
unnecessary altn jump noise.
As a part of debugging, I've also extended dbgrbyd.py's tree renderer to
show trivial prunable alts. Unsure about keeping this. On one hand it's
useful to visualize the exact alt structure, on the other hand it likely
adds quite a bit of noise to the more complex dbg scripts.
The current state of things is a mess, but at least tests are passing!
Though we aren't actually reclaiming any altns yet... We're definitely
_not_ preserving the rby structure at the moment, and if you look at the
output from the tests, the resulting tree structure is hilarious bad.
But at least the path forward is clear.
This was throwing off tree rendering in dbglfs.py, we attempt to lookup
the null tag because we just want to first tag in the tree to stitch
things together.
Null tag reachability is tricky! You only notice if the tree happens to
create a hole, which isn't that common. I think all lookup
implementations should have this max(tag, 1) pattern from now on to
avoid this.
Note that most dbg scripts wouldn't run into this because we usually use
the traversal tag+1 pattern. Still, the inconsistency in impl between
the dbg scripts and lfs.c is bad.
This saves a bit of rbyd overhead, since these almost always come
together.
Perhaps more interesting, it carves out space for storing mroot-anchor
redundancy information. This uses the lowest two bits of the GEOMETRY
tag to indicate how many redundant blocks belong to the mroot-anchor:
LFSR_TAG_GEOMETRY 0x0008 v--- ---- ---- 1-rr
This solves a bit of a hole in our redundancy encoding. The plan is for
this info to be stored in the lowest two bits of every pointer, but the
mroot-anchor doesn't really have a pointer.
Though this is just future plans. Right now the redundancy information
is unused. Current implementations should use the GEOMETRY tag 0x0009,
which you may notice implied redundancy level-1. This matches our
current 2-block per mdir default.
Geometry attr encoding:
.---+---+---+---. tag (0x0008+r): 1 be16 2 bytes
|x0008+r| 0 |siz| weight (0): 1 leb128 1 byte
+---+---+---+---+ size: 1 leb128 1 byte
| block_size | block_size: 1 leb128 <=4 bytes
+---+- -+- -+- -+- -.
| block_count | block_count: 1 leb128 <=5 bytes
'---+- -+- -+- -+- -' total: <=13 bytes
Code changes:
code stack
before: 34092 2880
after: 34040 (-0.2%) 2880 (+0.0%)
Now with a bit more granularity for possibly-future-optional on-disk
data structures:
LFSR_RCOMPAT_NONSTANDARD 0x0001 ---- ---- ---- ---1 (reserved)
LFSR_RCOMPAT_MLEAF 0x0002 ---- ---- ---- --1-
LFSR_RCOMPAT_MSHRUB 0x0004 ---- ---- ---- -1-- (reserved)
LFSR_RCOMPAT_MTREE 0x0008 ---- ---- ---- 1---
LFSR_RCOMPAT_BSPROUT 0x0010 ---- ---- ---1 ----
LFSR_RCOMPAT_BLEAF 0x0020 ---- ---- --1- ----
LFSR_RCOMPAT_BSHRUB 0x0040 ---- ---- -1-- ----
LFSR_RCOMPAT_BTREE 0x0080 ---- ---- 1--- ----
LFSR_RCOMPAT_GRM 0x0100 ---- ---1 ---- ----
LFSR_WCOMPAT_NONSTANDARD 0x0001 ---- ---- ---- ---1 (reserved)
LFSR_OCOMPAT_NONSTANDARD 0x0001 ---- ---- ---- ---1 (reserved)
This adds a couple reserved flags:
- LFSR_*COMPAT_NONSTANDARD - This flag will never be set by a standard
version of littlefs. The idea is to allow implementations with
non-standard extensions a way to signal potential compatibility issues
without worrying about future compat flag conflicts.
This is limited to a single bit, but hey, it's not like it's possible
to predict all future extensions.
If a non-standard extension needs more granularity, reservations of
standard compat flags can always be requested, even if they don't end
up implemented in standard littlefs. (Though such reservations will
need a strong motivation, it's not like these flags are free).
- LFSR_RCOMPAT_MSHRUB - In theory littlefs supports a shrubbed mtree,
where the root is inlined into the mroot. But in practice this turned
out to be more complicated than it was worth. Still, a future
implementation may find an mshrub useful, so preserving a compat flag
for such a case makes sense.
That being said, I have no plans to add support for mshrubs even in
the dbg scripts.
I would like the expected feature-set for debug tools to be
well-defined, but also conservative. This gets a bit tricky with
theoretical features like the mshrubs, but until mshrubs are actually
implemented in littlefs, I would like to consider them non-standard.
The implication of this is that, while LFSR_RCOMPAT_MSHRUB is
currently "reserved", it may be repurposed for some other meaning in
the future.
These changes also rename *COMPATFLAGS -> *COMPAT, and reorder the tags
by decreasing importance. This ordering seems more valuable than the
original intention of making rcompat/wcompat a single bit flip.
Implementation-wise, it's interesting to note the internal-only
LFSR_*COMPAT_OVERFLOW flag. This gets set when out-of-range bits are set
on-disk, and allows us to detect unrepresentable compat flags without
too much extra complexity.
The extra encoding/decoding overhead does add a bit of cost though:
code stack
before: 33944 2880
after: 34124 (+0.5%) 2880 (+0.0%)
So now these should be invoked like so:
$ ./scripts/dbglfs.py -b4096x256 disk
The motivation for this change is to better match other filesystem
tooling. Some prior art:
- mkfs.btrfs
- -n/--nodesize => node size in bytes, power of 2 >= sector
- -s/--sectorsize => sector size in bytes, power of 2
- zfs create
- -b => block size in bytes
- mkfs.xfs
- -b => block size in bytes, power of 2 >= sector
- -s => sector size in bytes, power of 2 >= 512
- mkfs.ext[234]
- -b => block size in bytes, power of 2 >= 1024
- mkfs.ntfs
- -c/--cluster-size => cluster size in bytes, power of 2 >= sector
- -s/--sector-size => sector size in bytes, power of 2 >= 256
- mkfs.fat
- -s => cluster size in sectors, power of 2
- -S => sector size in bytes, power of 2 >= 512
Why care so much about the flag naming for internal scripts? The
intention is for external tooling to eventually use the same set of
flags. And maybe even create publically consumable versions of the dbg
scripts. It's important that if/when this happens flags stay consistent.
Everyone familiar with the ssh -p/scp -P situation knows how annoying
this can be.
It's especially important for littlefs's -b/--block-size flag, since
this will likely end up used everywhere. Unlike other filesystems,
littlefs can't mount without knowing the block-size, so any tool that
mounts littlefs is going to need the -b/--block-size flag.
---
The original motivation for -B was to avoid conflicts with the -b/--by
flag that was already in use in all of the measurement scripts. But
these are internal, and not really littlefs-related, so I don't think
that's a good reason any more. Worst case we can just make the --by flag
-B, or just not have a short form (--by is only 4 letters after all).
Somehow we ended up with no scripts needing both -b/--block-size and
-b/--by so far.
Some other conflicts/inconsistencies tweaks were needed, here are all
the flag changes:
- -B/--block-size -> -b/--block-size
- -M/--mleaf-weight -> -m/--mleaf-weight
- -b/--btree -> -B/--btree
- -C/--block-cycles -> -c/--block-cycles (in tracebd.py)
- -c/--coalesce -> -S/--coalesce (in tracebd.py)
- -m/--mdirs -> -M/--mdirs (in dbgbmap.py)
- -b/--btrees -> -B/--btrees (in dbgbmap.py)
- -d/--datas -> -D/--datas (in dbgbmap.py)
I was originally avoiding naming these orphans, as they're _technically_
not orphans. They do exist in the mtree. But the name orphan just
describes this types purpose too well.
This does lead to some confusing terms, such as the fact that orphan
files can be non-orphaned if there are any in-device references. But I
think this makes sense?
- LFSR_TAG_SCRATCH -> LFSR_TAG_ORPHAN
- LFSR_F_UNCREAT -> LFSR_F_ORPHAN
- test_fscratch.toml -> test_forphan.toml
"Scratch files" are a new file type added to solve the zero-sized
file problem. Though they have a few other uses that may be quite
valuable.
The "zero-sized file problem" is a common surprise for users, where what
seems like a simple file create+write operation:
lfs_file_open(&lfs, &file, "hi",
LFS_O_WRONLY | LFS_O_CREAT | LFS_O_EXCL);
lfs_file_write(&lfs, &file, "hello!", strlen("hello!"));
lfs_file_close(&lfs, &file);
Can end up create a zero-sized file under powerloss, breaking user
assumptions and their code.
The tricky thing is that this is actually correct behavior as defined by
POSIX. `open` with O_CREAT creats a file entry immediately, which is
initially zero-sized. And the fact that power can be lost between `open`
and `close` isn't really avoidable.
But this is a common enough footgun that it's probably worth deviating
from POSIX here.
But how to avoid zero-sized files exactly? First thought: Delay the file
creation until sync/close, tracking uncreated files in-device until
then. This solves the problem and avoids any intermediary state if we
lose power, but came with a number of headaches:
1. Since we delay file creation, we don't immediately write the filename
to disk on open. This implies we need to keep the filename allocated
in RAM until the first sync/close call.
The requirement to keep the filename allocated for new files until
first sync/close could be added to open, and with the option to call
sync immediately to save the filename (and accept the risk of
zero-sized files), I don't think it would be _that_ bad of an API.
But it would still be pretty bad. Extra bad because 1. there's no
way to warn on misuse at compile-time, 2. use-after-free bugs have a
tendency to go unnoticed annoyingly often, 3. it's a regression from
the previous API, and 4. who the heck reads the more-or-less same
`open` documentation for every filesystem they adopt.
2. Without an allocated mid, tracking files internally gets a lot
harder. The best option I could think of was to keep the opened-file
linked-list sorted by mid + (in-device) file name.
This did not feel like a great solutiona and was going to add more
code cost.
3. Handling mdir splits containing uncreated files adds another
headache. Complicated lfsr_mdir_estimate further as it needs to
decide in which mdir the uncreated files will end up, and potentially
split on a filename that isn't even created yet.
4. Since the number of uncreated files can be potentially unbounded, you
can't prevent an mdir from filling up with only uncreated files. On
disk this ends up looking like an "empty" mdir, which need specially
handling in littlefs to reclaim after powerloss.
Support for empty mdirs -- the orphaned mdir scan -- was already
added earlier. We already scan each mdir to build gstate, so it
doesn't really add much cost.
Notice that last bullet point? We already scan each mdir during mount.
Why not, instead of scanning for orphaned mdirs, scan for orphaned
files?
So this leads to the idea of "scratch files". Instead of actually
delaying file creation, fake it. Create a scratch file during open, and
on the first sync/close, convert it to a regular file. If we lose power,
scan for scratch files during mount, and remove them on first write.
Some tradeoffs:
1. The orphan scan for scratch files is a bit more expensive than for
mdirs on storage with large block sizes. We need to look at each file
entry vs just each mdir, which pushed the runtime up to O(BlogB) vs
O(B).
Though if you also consider large mtrees, the worst case is still
O(nlogn).
2. Creating intermediate scratch files adds another commit to file
creation.
This is probably not a big issue for flash, but may be more of a
concern on devices with large prog sizes.
3. Scratch files complicate unrelated mkdir/rename/etc code a bit, since
we need to consider what happens when the dest is a scratch file.
But the end result is simple. And simple is good. Both for
implementation headaches, and code size. Even if the on-disk state is
conceptually more complicated.
You may have noticed these scratch files are basically isomorphic to
just setting an "uncreated" flag on the file, and that's true. There may
have been a simpler route to end up with the design, but hey, as long as
it works.
As a plus, scratch files present a solution for a couple other things:
1. Removing an open file can become a scratch file until closed.
2. Scratch files can be used as temporary files. Open a file with
O_DESYNC and never call sync and you have yourself a temporary file.
Maybe in the future we should add O_TMPFILE to avoid the need for
unique filenames, but that is low priority.
Much like the erased-state checksums in our rbyds (ecksums), these
block-level erased-state checksums (becksums) allow us to detect failed
progs to erased parts of a block and are key to achieving efficient
incremental write performance with large blocks and frequent power
cycles/open-close cycles.
These are also key to achieving _reasonable_ write performance for
simple writes (linear, non-overwriting), since littlefs now relies
solely on becksums to efficiently append to blocks.
Though I suppose the previous block staging logic used with the CTZ
skip-list could be brought back to make becksums optional and avoid
btree lookups during simple writes (we do a _lot_ of btree
lookups)... I'll leave this open as a future optimization...
Unlike in-rbyd ecksums, becksums need to be stored out-of-band so our
data blocks only contain raw data. Since they are optional, an
additional tag in the file's btree makes sense.
Becksums are relatively simple, but they bring some challenges:
1. Adding becksums to file btrees is the first case we have for multiple
struct tags per btree id.
This isn't too complicated a problem, but requires some new internal
btree APIs.
Looking forward, which I probably shouldn't be doing this often,
multiple struct tags will also be useful for parity and content ids
as a part of data redundancy and data deduplication, though I think
it's uncontroversial to consider this both heavier-weight features...
2. Becksums only work if unfilled blocks are aligned to the prog_size.
This is the whole point of crystal_size -- to provide temporary
storage for unaligned writes -- but actually aligning the block
during writes turns out to be a bit tricky without a bunch of
unecesssary btree lookups (we already do too many btree lookups!).
The current implementation here discards the pcache to force
alignment, taking advantage of the requirement that
cache_size >= prog_size, but this is corrupting our block checksums.
Code cost:
code stack
before: 31248 2792
after: 32060 (+2.5%) 2864 (+2.5%)
Also lfsr_ftree_flush needs work. I'm usually open to gotos in C when
they improve internal logic, but even for me, the multiple goto jumps
from every left-neighbor lookup into the block writing loop is a bit
much...
Looking forward, bptr checksums provide an easy mechanism to validate
data residing in blocks. This extends the merkle-tree-like nature of the
filesystem all the way down to the data level, and is common in other
COW filesystems.
Two interesting things to note:
1. We don't actually check data-level checksums yet, but we do calculate
data-level checksums unconditionally.
Writing checksums is easy, but validating checksums is a bit more
tricky. This is made a bit harder for littlefs, since we can't hold
an entire block of data in RAM, so we have to choose between separate
bus transactions for checksum + data reads, or extremely expensive
overreads every read.
Note this already exists at the metadata-level, the separate bus
transactions for rbyd fetch + rbyd lookup means we _are_ susceptible
to a very small window where bit errors can get through.
But anyways, writing checksums is easy. And has basically no cost
since we are already processing the data for our write. So we might
as well write the data-level checksums at all times, even if we
aren't validating at the data-level.
2. To make bptr checksums work cheaply we need an additional cksize
field to indicate how much data is checksummed.
This field seems redundant when we already have the bptr's data size,
but if we didn't have this field, we would be forced to recalculate
the checksum every time a block is sliced. This would be
unreasonable.
The immutable cksize field does mean we may be checksumming more data
than we need to when validating, but we should be avoiding small
block slices anyways for storage cost reasons.
This does add some stack cost because our bptr struct is larger now:
code stack
before: 31200 2768
after: 31272 (+0.2%) 2800 (+1.1%)
Instead of writing every possible config that has the potential to be
useful in the future, stick to just writing the configs that we know are
useful, and error if we see any configs we don't understand.
This prevents unnecessary config bloat, while still allowing configs to
be introduced in a backwards compatible way in the future.
Currently unknown configs are treated as a mount error, but in theory
you could still try to read the filesystem, just with potentially
corrupted data. Maybe this could be behind some sort of "FORCE" mount
flag. littlefs must never write to the filesystem if it finds unknown
configs.
---
This also creates a curious case for the hole in our tag encoding
previously taken up by the OCOMPATFLAGS config. We can query for any
config > SIZELIMIT with lookupnext, but the OCOMPATFLAGS flag would need
an extra lookup which just isn't worth it.
Instead I'm just adding OCOMPATFLAGS back in. To support OCOMPATFLAGS
littlefs has to do literally nothing, so this is really more of a
documentation change. And who know, maybe OCOMPATFLAGS will have some
weird use case in the future...
Also:
- Renamed GSTATE -> GDELTA for gdelta tags. GSTATE tags added as
separate in-device flags. The GSTATE tags were already serving
this dual purpose.
- Renamed BSHRUB* -> SHRUB when the tag is not necessarily operating
on a file bshrub.
- Renamed TRUNK -> BSHRUB
The tag encoding space now has a couple funky holes:
- 0x0005 - Hole for aligning config tags.
I guess this could be used for OCOMPATFLAGS in the future?
- 0x0203 - Hole so that ORPHAN can be a 1-bit difference from REG. This
could be after BOOKMARK, but having a bit to differentiate littlefs
specific file types (BOOKMARK, ORPHAN) from normal file types (REG,
DIR) is nice.
I guess this could be used for SYMLINK if we ever want symlinks in the
future?
- 0x0314-0x0318 - Hole so that the mdir related tags (MROOT, MDIR,
MTREE) are nicely aligned.
This is probably a good place for file-related tags to go in the
future (BECKSUM, CID, COMPR), but we only have two slots, so will
probably run out pretty quickly.
- 0x3028 - Hole so that all btree related tags (BTREE, BRANCH, MTREE)
share a common lower bit-pattern.
I guess this could be used for MSHRUB if we ever want mshrubs in the
future?
I'm just not seeing a use case for optional compat flags (ocompat), so
dropping for now. It seems their *nix equivalent, feature_compat, is
used to inform fsck of things, but this doesn't really make since in
littlefs since there is no fsck. Or from a different perspective,
littlefs is always running fsck.
Ocompat flags can always be added later (since they do nothing).
Unfortunately this really ruins the alignment of the tag encoding. For
whatever reason config limits tend to come in pairs. For now the best
solution is just leave tag 0x0006 unused. I guess you can consider it
reserved for hypothetical ocompat flags in the future.
---
This adds an rcompat flag for the grm, since in theory a filesystem
doesn't need to support grms if it never renames files (or creates
directories?). But if a filesystem doesn't support grms and a grms gets
written into the filesystem, this can lead to corruption.
I think every piece of gstate will end up with its own compat flag for
this reason.
---
Also renamed r/w/oflags -> r/w/ocompatflags to make their purpose
clearer.
---
The code impact of adding the grm rcompat flag is minimal, and will
probably be less for additional rcompat flags:
code stack
before: 31528 2752
after: 31584 (+0.2%) 2752 (+0.0%)
Note this is intentionally different from how lfsr_rbyd_fetch behaves
in lfs.c. We only call lfsr_rbyd_fetch when we need validated checksums,
otherwise we just don't fetch.
The dbg scripts, on the other hand, always go through fetch, but it is
useful to be able to inspect the state of incomplete trunks when
debugging.
This use to be how the dbg scripts behaved, but they broke because of
some recent script work.
dbgbmap.py parses littlefs's mtree/btrees and displays that status of
every block in use:
$ ./scripts/dbgbmap.py disk -B4096x256 -Z -H8 -W64
bd 4096x256, 7.8% mdir, 10.2% btree, 78.1% data
mmddbbddddddmmddddmmdd--bbbbddddddddddddddbbdddd--ddddddmmdddddd
mmddddbbddbbddddddddddddddddbbddddbbddddddmmddbbdddddddddddddddd
bbdddddddddddd--ddddddddddddddddbbddddmmmmddddddddddddmmmmdddddd
ddddddddddbbdddddddddd--ddddddddddddddmmddddddddddddddddddddmmdd
ddddddbbddddddddbb--ddddddddddddddddddddbb--mmmmddbbdddddddddddd
ddddddddddddddddddddbbddbbdddddddddddddddddddddddddddddddddddddd
dddddddddd--ddddbbddddddddmmbbdd--ddddddddddddddbbmmddddbbdddddd
ddmmddddddddddmmddddddddmmddddbbbbdddddddd--ddbbddddddmmdd--ddbb
(ok, it looks a bit better with colors)
dbgbmap.py matches the layout and has the same options as tracebd.py,
allowing the combination of both to provide valuable insight into what
exactly littlefs is doing.
This required a bit of tweaking of tracebd.py to get right, mostly
around conflicting order-based arguments. This also reworks the internal
Bmap class to be more resilient to out-of-window ops, and adds an
optional informative header.
- Tried to do the rescaling a bit better with truncating divisions, so
there shouldn't be weird cross-pixel updates when things aren't well
aligned.
- Adopted optional -B<block_size>x<block_count> flag for explicitly
specifying the block-device geometry in a way that is compatible with
other scripts. Should adopt this more places.
- Adopted optional <block>.<off> argument for start of range. This
should match dbgblock.py.
- Adopted '-' for noop/zero-wear.
- Renamed a few internal things.
- Dropped subscript chars for wear, this didn't really add anything and
can be accomplished by specifying the --wear-chars explicitly.
Also changed dbgblock.py to match, this mostly affects the --off/-n/--size
flags. For example, these are all the same:
./scripts/dbgblock.py disk -B4096 --off=10 --size=5
./scripts/dbgblock.py disk -B4096 --off=10 -n5
./scripts/dbgblock.py disk -B4096 --off=10,15
./scripts/dbgblock.py disk -B4096 -n10,15
./scripts/dbgblock.py disk -B4096 0.10 -n5
Also also adopted block-device geometry argument across scripts, where
the -B flag can optionally be a full <block_size>x<block_count> geometry:
./scripts/tracebd.py disk -B4096x256
Though this is mostly unused outside of tracebd.py right now. It will be
useful for anything that formats littlefs (littlefs-fuse?) and allowing
the format everywhere is a bit of a nice convenience.
The biggest change here is the breaking up of the FLAGS config into
RFLAGS/WFLAGS/OFLAGS. This is directly inspired by, and honestly not
much more than a renaming, of the compat/ro_compat/incompat flags found
in Linux/Unix/POSIX filesystems.
I think these were first introduced in ext2? But I need to do a bit more
research on that.
RFLAGS/WFLAGS/OFLAGS provide a much more flexible, and extensible,
feature flag mechanism than the previous minor version bumps.
The (re)naming of these flags is intended to make their requirements
more clear. In order to do the relevant operation, you must understand
every flag set in the relevant flag:
- RFLAGS / incompat flags - All flags must be understood to read the
filesystem, if not understood the only possible behavior is to fail.
- WFLAGS / ro-compat flags - All flags must be understood to write to the
filesystem, if not understood the filesystem may be mounted read-only.
- OFLAGS / compat flags - Optional flags, if not understood the relevant
flag must be cleared before the filesystem can be written to, but other
than that these flags can mostly be ignored.
Some hypothetical littlefs examples:
- RFLAGS / incompat flags - Transparent compression
Is this the same as a major disk-version break? Yes kinda? An
implementation that doesn't understand compression can't read the
filesystem.
On the other hand, it's useful to have a filesystem that can read both
compressed and uncompressed variants.
- WFLAGS / ro-compat flags - Closed block-map
The idea behind a closed block-map (currently planned), is that
littlefs maintains in global space a complete mapping of all blocks in
use by the filesystem.
For such a mapping to remain consistent means that if you write to the
filesystem you must understand the closed block-map. Or in other
words, if you don't understand the closed block-map you must not write
to the filesystem.
Reading, on the other hand, can ignore many such write-related
auxiliary features, so the filesystem can still be read from.
- OFLAGS / compat flags - Global checksums
Global checksums (currently planned) are extra checksums attached to
each mdir that when combined self-validate the filesystem.
But if you don't understand global checksums, you can still read and
write the filesystem without them. The only catch is that when you write
to the filesystem, you may end up invalidating the global checksum.
Clearing the global checksum bit in the OFLAGS is a cheap way to
signal that the global checksum is no longer valid, allowing you to
still write to the filesystem without this optional feature.
Other tweaks to note:
- Renamed BLOCKLIMIT/DISKLIMIT -> BLOCKSIZE/BLOCKCOUNT
Note these are still the _actual_ block_size/block_count minus 1. The
subtle difference here was the original reason for the name change,
but after working with it for a bit, I just don't think new, otherwise
unused, names are worth it.
The minus 1 stays, however, since it avoids overflow issues at
extreme boundaries of powers of 2.
- Introduces STAGLIMIT/SATTRLIMIT, sys-attribute parallels to
UTAGLIMIT/UATTRLIMIT.
These may be useful if only uattrs are supported, or vice-versa.
- Dropped UATTRLIMIT/SATTRLIMIT to 255 bytes.
This feels extreme, but matches NAMELIMIT. These _should_ be small,
and limiting the uattr/sattr size to a single-byte leads to really
nice packing of the utag+uattrsize in a single integer.
This can always be expanded in the future if this limit proves to be a
problem.
- Renamed MLEAFLIMIT -> MDIRLIMIT and (re?)introduced MTREELIMIT.
These may be useful to limiting the mtree when needed, though it's not
clear the exact use case quite yet.
It's probably better to have a separate names for a tag category and any
specific name, but I can't think of a better name for this tag, and I
hadn't noticed that I was already ignoring the C prefix for CCKSUM tags
in many places.
NAME/CKSUM now mean both the specific tag and tag category, which is a
bit of a hack since both happen to be the 0th-subtype of their
categories.
I may be overthinking things, but I'm guessing of all the possible tag
modes we may want to add in the future, we will mostly like want to add
something that looks vaguely tag like. Like the shrub tags, for example.
It's beneficial, ordering wise, for these hypothetical future tags to
come before the cksum tags.
Current tag modes:
0x0ttt v--- tttt -ttt tttt normal tags
0x1ttt v--1 tttt -ttt tttt shrub tags
0x3tpp v-11 tttt ---- ---p cksum tags
0x4kkk v1dc kkkk -kkk kkkk alt tags
Note this is already showing better code reuse, which is a good sign,
though maybe that's just the benefit of reimplementing similar logic
multiple times.
Now both reading and carving end up in the same lfsr_btree_readnext and
lfsr_btree_buildcarve functions for both btrees and shrubs. Both btrees
and shrubs are fundamentally rbyds, so we can share a lot of
functionality as long as we redirect to the correct commit function at
the last minute. This surprising opportunity for deduplication was
noticed while putting together the dbg scripts.
Planned logic (not actual function names):
lfsr_file_readnext -> lfsr_shrub_readnext
| |
| v
'---------> lfsr_btree_readnext
lfsr_file_flushbuffer -> lfsr_shrub_carve ------------.
.---------------------' |
v v
lfsr_file_flushshrub -> lfsr_btree_carve -> lfsr_btree_buildcarve
Though the btree part of the above statement is only a hypothetical at
the moment. Not even the shrubs can survive compaction now.
The reason is the new SLICE tag which needs low-level support in rbyd
compact. SLICE introduces indirect refernces to data located in the same
rbyd, which removes any copying cost associated with coalescing.
Previously, a large coalesce_size risked O(n^2) runtime when
incrementally append small amounts of data, but with SLICEs we can defer
coalescing to compaction time, where the copy is effectively free.
This compaction-time-coalescing is also hypothetical, which is why our
tests are failing. But the theory is promising.
I was originally against this idea because of how it crosses abstraction
layers, requiring some very low-level code that absolutely can not be
omitted in a simpler littlefs driver. But after working on the actual
file writing code for a while I've become convinced the tradeoff is
worth it.
Note coalesce_size will likely still need to be configurable. Data in
fragmenting/sparse btrees is still susceptible to coalescing, and it's
not clear the impacts of internal fragmentation when data sizes approach
the hard block_size/2 limit.
My current thinking is that these are conceptually different types, with
BTREE tags representing the entire btree, and BRANCH tags representing
only the inner btree nodes. We already have multiple btree tags anyways:
btrees attached to files, the mtree, and in the future maybe a bmaptree.
Having separate tags also makes it possible to store a btree in a btree,
though I don't think we'll ever use this functionality.
This also removes the redundant weight field from branches. The
redundant weight field is only a minor cost relative to storage, but it
also takes up a bit of RAM when encoding. Though measurements show this
isn't really significant.
New encodings:
btree encoding: branch encoding:
.---+- -+- -+- -+- -. .---+- -+- -+- -+- -.
| weight | | blocks |
+---+- -+- -+- -+- -+ ' '
| blocks | ' '
' ' +---+- -+- -+- -+- -+
' ' | trunk |
+---+- -+- -+- -+- -+ +---+- -+- -+- -+- -'
| trunk | | cksum |
+---+- -+- -+- -+- -' '---+---+---+---'
| cksum |
'---+---+---+---'
Code/RAM changes:
code stack
before: 30836 2088
after: 30944 (+0.4%) 2080 (-0.4%)
Also reordered other on-disk structs with weight/size, so such structs
always have weight/size as the first field. This may enable some
optimizations around decoding the weight/size without needing to know
the specific type in some cases.
---
This change shouldn't have affected functionality, but it revealed a bug
in a dtree test, where a did gets caught in an mdir split and the split
name makes the did unreachable.
Marking this as a TODO for now. The fix is going to be a bit involved
(fundamental changes to the opened-mdir list), and similar work is
already planned to make removed files work.
This a compromise between padding the tag repr correctly and parsing
speed.
If we don't have to traverse an rbyd (for, say, tree printing), we don't
want to since parsing rbyds can get quite slow when things get big
(remember this is a filesystem!). This makes tag padding a bit of a hard
sell.
Previously this was hardcoded to 22 characters, but with the new file
struct printing it quickly became apparently this would be a problematic
limit:
12288-15711 block w3424 0x1a.0 3424 67 64 79 70 61 69 6e 71 gdypainq
It's interesting to note that this has only become an issue for large
trees, where the weight/size in the tag can be arbitrarily large.
Fortunately we already have the weight of the rbyd after fetch, so we
can use a heuristic similar to the id padding:
tag padding = 21 + nlog10(max(weight,1)+1)
---
Also dropped extra information with the -x/--device flag. It hasn't
really been useful and was implemented inconsistently. Maybe -x/--device
should just be dropped completely...
Previously our lower/upper bounds were initialized to -1..weight. This
made a lot of the math unintuitive and confusing, and it's not really
necessary to support -1 rids (-1 rids arise naturally in order-statistic
trees the can have weight=0).
The tweak here is to use lower/upper bounds initialized to 0..weight,
which makes the math behave as expected. -1 rids naturally arise from
rid = upper-1.
- Added shrub tags to tagrepr
- Modified dbgrbyd.py to use last non-shrub trunk by default
- Tweaked dbgrbyd's log mode to find maximum seen weight for id padding
And by working, I mean you can create inlined trees, just don't
compact/split/move/etc anything. But this does outline the path files
take when writing buffers into inlined trees.
"Inlined trees" in littlefs are entire small rbyd trees embedded as
secondary trees in an mdir's main rbyd tree. When fetching, we can
indicate if a given trunk belongs to the main tree or secondary tree by
setting one of the unused mode bits in the trunk's tag, now called the
"deferred" bit. This bit doesn't need to be included in the alt's "key"
field, so there's no issue with it conflicting with the alt's mode bits.
This requires a bit of tweaking lfsr_rbyd_fetch, since it needs to fall
back to the previous trunk if it discovers the most recent trunk belongs
to an inlined tree. But as a benefit we can leverage the full power of
rbyds in inlined files, including holes, partial updates, etc.
One downside is it looks like these inlined trees may involve more work
in maintining their state correctly, since they need to be sort of
"brought along" when mdirs are compacted, even if they don't actually
have a reference in the mdir yet. But the sheer amount of flexibility
this gives inlined files may make this overhead worth it.
I had never noticed xxd has no header until comparing its output against
dbgblock.py. Turns out these headers aren't really all that useful, and
even sometimes wrong in dbglfs.py.
Now, instead of storing a single contiguous block of config data, config
is stored as tagged metadata like any other attribute.
This allows more flexibility towards adding/removing config in the
future, without cluttering up the config with deprecated entries (see
ATA's "IDENTIFY DEVICE" response).
Most of the config entries are single leb128 limits on various integer
types, with the exception of the magic string and version (major/minor
pair).
---
Note this also includes some semantic changes to the config:
- Limits are stored as size-1. This avoid issues with integer overflow
at extreme ranges.
This was also adopted for block size (block limit) and block count
(disk limit). This deviation between on-disk config and user-facing
config risks confusion, but allows the potential for the full 2^31 range
for these values.
- The default cksum type, crc32c, has been changed to 0.
Originally this was 2 to allow the type to map to the crc width for
crc8, crc16, crc32c, crc64, etc. But dropping this idea and numbering
checksums as they are implemented simplifies things.
May come back to this.
- Storing these configs as attributes opens up of the option of on-disk
defaults when configs are missing.
I'm being a bit conservative with this one, as it's not clear to me if
we should prefer default configs (less code/storage, risk of untested
config parsing) or prefer explicit on-disk configs.
Currently the following have defaults since they seem the most obvious
to me:
- cksum type => defaults to crc32c
- redund type => defaults to parity (TODO, should this default to
no redund?)
- utag_limit => defaults to 0x7f (no special tag decoding)
- uattr_limit => defaults to block_limit (implicit)
This format for mids is a compromise in readability vs debugability.
For example, if our mbid weight is 256 (4KiB blocks), the 19th entry
in the second mdir would be the raw integer 275. With this mid format,
we would print it as 256.19.
The idea is to make it easy to see it's the 19th entry in the mdir while
still making it relatively easy to see that 256.19 and 275 are
equivalent when debugging.
---
The scripts also took some tweaking due to the mid change. Tried to keep
the names consistent, but I don't think it's worthwhile to change too
much of the scripts while they are working.
There is a bit of redundancy here, as we already know the weights of
btree's inner-branches from their parents. But in theory sharing the
same encoding for both the top level btree reference and inner-branches
should offer more chance for deduplication and hopefully less code.
This also moves some members around in the btree encoding so that the
redund blocks are at the beginning. This _might_ simplify decoding of
the variable-length redund blocks at some point.
Current btree encoding:
.----+----+----+----.
| blocks ... redund leb128s (1-20 bytes)
: :
|----+----+----+----|
| trunk ... 1 leb128 (1-5 bytes)
|----+----+----+----|
| weight ... 1 leb128 (1-5 bytes)
|----+----+----+----|
| cksum | 1 le32 (4 bytes)
'----+----+----+----'
This also partially reverts some tag name changes:
- BNAME -> BRANCH
- DMARK -> BOOKMARK
Struct tags, in littlefs, generally encode pointers to different on-disk
data structures. At this point, they've gotten a bit complex, with the
btree struct, for example, containing 1. a block address, 2. the trunk
offset, 3. the weight of the trunk, and 4. a checksum.
Also some future plans:
1. Block redundancy will make it so these pointers may have a variable
number of block addresses to contend with.
2. Different checksum types may make the checksum field itself variable
length, at least on larger builds of littlefs.
This may also happen if we support truncated checksums in littlefs
for storage saving reasons.
Having two variable sized fields becomes a bit of a pain. We can use the
encoded tag size to figure out the size of one of these fields, but not
both.
The change here makes it so the tag size now determines the checksum
size, requiring the redundancy amount to go somewhere else. This makes
it so checksums can be variably sized, and the explicit redundancy
amount avoids the need to parse the leb128s fully to know how many
blocks we're expecting.
But where to put the redundancy amount?
This commit carves out 2-bits from the struct tag to store the amount of
redundancy to allow up to 3 blocks of redundancy:
v0000011 0TTTTTrr
^--^---^-^----^-^- valid bit
'---|-|----|-|- 3-bit mode (0x0 for structs)
'-|----|-|- 4-bit suptype (0x3 for structs)
'----|-|- 0 bit (reserved for leb128)
'-|- 5-bit subtype
'- 2-bit redund
3 blocks may sound extremely limiting, but it's a common limit for
filesystems, 1. because you have to keep in mind each redundant block
adds that much more writing/reading overhead and 2. the fact
that 2^(2^n)-1 is always divisible by 3 makes >3 parity blocks much more
complicated mathematically.
Worst case, if we ever have >3 redundant blocks, we can create new
struct subtypes. Maybe adding extended struct types that prefix the
block addresses with a leb128 encoding the redundancy amount.
---
As a part of this, reorganized the on-disk btree and ecksum encodings to
put the checksum last.
Also split out the btree and inner btree branches as separate struct
types. The btree includes the weight, whereas the weight is implicit in
inner btree branches. This came about after realizing context-specific
prefixes are relatively easy to add thanks to the composability of our
parsers.
This led to some name collisions though:
- BRANCH -> BNAME
- BOOKMARK -> DMARK
This checksum is used to keep track of if we have erased, and not yet
touched, the unused bytes trailing our current commit in the rbyd.
The working theory is that if any prog attempt is made, it will, most
likely, change the checksum of the contents, allowing littlefs to
determine if trailing erased-state is safe to use, even under powerloss.
littlefs can also perturb future data by a single bit, to force this
checksum to always be invalidated during normal operation.
The original name, "forward erased-state checksums (fcksum)", came from the
idea that the checksum "looks forward" into the next commit.
But after using them for a bit, I think the name is unnecessarily
confusing. It, uh, also looks a lot like a swear word. I think
shortening the name to just "erased-state checksums (ecksum)", even
though the previous name is already in use in a release, is reasonable.
---
It's probably hard to believe but the name change from fcrc -> ecrc
really was unrelated to the crc -> cksum change. But boy is it
convenient for avoiding an awkward name. A lot of these name changes
involved sed scripts, so I didn't notice how awkward fcksum would be to
use until writing this commit message.
The reason for this is to move away from the idea that littlefs is
strictly bound to CRCs and make the code more welcoming to other
checksum types, such as SHA256, etc.
Of course, changing the name doesn't really do anything. littlefs
actually _is_ strictly bound to CRCs in a couple ways that other
filesystems aren't. These would need to have workarounds for other
checksum types:
- We leverage the parity-preserving nature of (some) CRCs to not have
to also calculate the parity of metadata in rbyd commits.
- We leverage the linearity of CRCs to retroactively flip the
perturb bit in the cksum tag without needing to recalculate the
checksum. Though the fact we need to do this is because of how we
use parity above, so this may just not be needed for non-CRC
checksums.
- The plans for global-CRCs (not yet implemented) rely heavily on the
mathematical properties of CRC polynomials. This doesn't mean
global-CRCs can't work with other checksums, you would just need to
find a different type of polynomial.
Originally it made sense to name the rbyd ids, well, ids, at least in
the internals of the rbyd functions. But this doesn't work well outside
of the rbyd code, where littlefs has to juggle several different id
types with different purposes:
- rid => rbyd-id, 31-bit index into an rbyd
- bid => btree-id, 31-bit index into a btree
- mid => mdir-id, 15-bit+15-bit index into the mtree
- did => directory-id, 31-bit unique identifier for directories
Even though context makes it clear which id the id refers to in the rbyd
internals, updating the name to rid makes it clearer that these are the
same type of id when looking at code both inside and outside the rbyd
functions.
This implementation is in theory correct, but of course, being untested,
who knows?
Though this does come with remounting added to all of the directory
tests. This effectively tests that all of the directory creation tests
we have so far maintain grm=0 after each unmount-mount cycle. Which is
valuable.
This has, in theory, global-removes (grm) being written out as a part of
of directory creation, but they aren't used in any form and so may not
be being written correctly.
But it did require quite a bit of problem solving to get to this point
(the interactions between mtree splitsand grms is really annoying), so
it's worth a commit.
This makes it now possible to create directories in the new system.
The new system now uses a single global "mtree" to store all metadata
entries in the filesystem. In this system, a directory is simply a range
of metadata entries. This has a number of benefits, but does come with
its own problems:
1. We need to indicate which directory each file belongs to. To do this
the file's name entry has been changed to a tuple of leb128-encoded
directory-id + actual file name:
01 66 69 6c 65 2e 74 78 74 .file.txt
^ '----------+----------'
'------------|------------ leb128 directory-id
'------------ ascii/utf8 name
If we include the directory-id as part of filename comparison, files
should naturally be next to other files in the same directory.
2. We need a way allocate directory-ids for new directories. This turns
out to be a bit more tricky than I expected.
We can't use any mid/bid/rid inherent to the mtree, because these
change on any file creation/deletion. And since we commit the did
into the tree, that's not acceptable.
Initially I though you could just find the largest did and increment,
but this gives you no way to reclaim deleted dids. And sure, deleted
dids have no storage consumption, but eventually you will overflow
the did integer. Since this can suddenly happen in a filesystem
that's been in a steady-state for years, that's pretty unnacceptable.
One solution is to do a simple linear search over the mtree for an
unused did. But with a runtime of O(n^2 log(n)), this raises
performance concerns.
Sidenote: It's interesting to note that the Linux kernel's allocation
of process-ids, a very similar problem, is surprisingly complex and
relies on a radix-tree of bitmaps (struct idr). This suggests I'm not
missing an obvious solution somewhere.
The solution I settled on here is to instead treat the set of dids as
a sort of hash table:
1. Hash the full directory path into a did.
2. Perform a linear search until we have no collision.
leb128(truncate28(crc32c("dir")))
.--------'
v
9e cd c8 30 66 69 6c 65 2e 74 78 74 ...0file.txt
'----+----' '----------+----------'
'-----------------|------------ leb128 directory-id
'------------ ascii/utf8 name
Worst case, this can still exhibit the worst case O(n^2 log(n))
performance when we are close to full dids. However that seems
unlikely to happen in practice, since we don't truncate our hashes,
unlike normal hash tables. An additional 32-bit word for each file
is a small price to pay for a low-chance of collisions.
In the current implementation, I do truncate the hash to 28-bits.
Since we encode the hash with leb128, and hashes are statistically
random, this gives us better usage of the leb128 encoding. However
it does limit a 32-bit littlefs to 256 Mi directories.
Maybe this should be a configurable limit in the future.
But that highlights another benefit of this scheme. It's easy to
change in the future without disk changes.
3. We need a way to know if a directory-id is allocated, even if the
directory is empty.
For this we just introduce a new tag: LFSR_TAG_DSTART, which
is an empty file entry that indicates the directory at the given did
in the mtree is allocated.
To create/delete these atomically with the reference in our parent
directory, we can use the GRM system for atomic renames.
Note this isn't implemented yet.
This is also the first time we finally get around to testing all of the
dname lookup functions, so this did find a few bugs, mostly around
reporting the root correctly.
Now that tree rebalancing is implemented and needed a null terminator
anyways, I think it's clear that the benefit of the alt-always pointers
as trunk terminator has pretty limited value.
Now a null or other tag is needed for every trunk, which simplifies
checks for end-of-trunk.
Alt-always tags are still emitted for deletes, etc, but there their
behavior is implicit, so no special checks are needed. Alt-always tags
are naturally cleaned up as a part of rbyd pruning.
This isn't actually for performance reasons, but to reduce storage
overhead of the rbyd metadata tree, which was showing signs of being
problematic for small block sizes.
Originally, the plan for compaction was to rely on the self-balancing
rbyd append algorithm and simply append each tag to a new tree.
Unfortunately, since each append requires a rewrite of the trunk
(current search path), this introduces ~n*log(n) alts but only uses ~n alts
for the final tree. This really starts to put pressure on small blocks,
where the exponential-ness of the log doesn't kick in and overhead
limits are already tight.
Measuring lfsr_mdir_commit code size, this shows a ~556 byte cost on
thumb: 16416 -> 16972 (+3.4%). Though there are still some optimizations
on the table, this implementation needs a cleanup pass.
alt overhead code cost
rebalance: <= 28*n 16972
append: <= 24*n*log(n) 16416
Note these all assume worst case alt overhead, but we _need_ to assume
worst case for our rbyd estimations, or else the filesystem can get
stuck in unrecoverable compaction states.
Because of the code cost I'm not sure if rebalancing will stay, be
optional, or replace append-compaction completely yet.
Some implementation notes:
- Most tree balancing algorithms rely on true recursion, I suspect
recursion may be a hard requirement in general, but it's hard to find
bounded-ram algorithms.
This solution gets around the ram requirement by leveraging the fact
that our tags exist in a log to build up each layer in the tree
tail-recursively. It's interesting to note that this is a special
case of having little ram but lots of storage.
- Humorously this shouldn't result in a performance improvement. Rbyd
trees result in a worst case 2*log(n) height, and rebalancing gives us
a perfect worst case log(n) height, but, since we need an additional
alt pointer for each node in our tree, things bump back up to 2*log(n).
- Originally the plan was to terminate each node with an alt-always tag,
but during implementation I realized there was no easy way to get the
key that splits the children with awkward tree lookups. As a
workaround each node is terminated with an altle tag that contains the
key followed by an unreachable null tag. This is redundant information,
but makes the algorithm easier to implement.
Fortunately null tags use the smallest tag encoding, which isn't that
small, but that means this wastes at most 4*n bytes.
- Note this preserves the first-tag-always-ends-up-at-off=0x4 rule, which
is necessary for the littlefs magic to end up in a consistent place.
- I've dropped dropping vestigial names for now, which means vestigial
names can remain in btrees indefinitely. Need to revisit this.
Wide tags are a happy accident that fell out of the realization that we
can view all subtypes of a given tag suptype as a range in our rbyd.
Combining this with how natural it is to operate on ranges in an rbyd
allows us to perform operations on an entire range of subtypes as though
it were a single tag.
- lookup wide tag => find the smallest tag with this tag's suptype, O(log(n))
- remove wide tag => remove all tags with this tag's suptype, O(log(n))
- append wide tag => remove all tags with this tag's suptype, and then
append our tag, O(log(n))
This is very useful for littlefs, where we've already been using tag's
subtypes to hold extra type info, and have had to rely on awkward
alternatives such as deleting existing subtypes before writing our new
subtype.
For example, when committing file metadata (not yet implemented), we can
append a wide struct tag to update the metadata while also clearing out any
lingering struct tags from previous commits, all in one rbyd append
operation.
This uses another mode bit in-device to change the behavior of
lfsr_rbyd_commit, of which we have a couple:
vwgrtttt 0TTTTTTT
^^^^---^--------^- valid bit (currently unused, maybe errors?)
'||---|--------|- wide bit, ignores subtype (in-device)
'|---|--------|- grow bit, don't create new id (in-device)
'---|--------|- rm bit, remove this tag (in-device)
'--------|- 4-bit suptype
'- leb128 subtype
This helps with debugging and can avoid weird issues if a file btree
ever accidentally ends up attached to id -1 (due to fs bug).
Though a separate encoding isn't strictly necessary, maybe this should
be reverted at some point.
This replaces unr with null on disk, though note both the rm bit and unr
are used in-device still, they just don't get written to disk.
This removes the need for the rm bit on disk. Since we no longer need to
figure out what's been removed during fetch, we can save this bit for both
internal and future on-disk use.
Special handling of alta allows us to avoid emitting an unr tag (now null) if
the current trunk is truly unreachable. This is minor now, but important
for a theoretical rbyd rebalance operation (planned), which brings the
rbyd overhead down from ~3x to ~2x.
These changes give us two ways to terminate trunks without a tag:
1. With an alta, if the current trunk is unreachable:
altbgt 0x403 w0 0x7b
altbgt 0x402 w0 0x29
alta w0 0x4
2. With a null, if the current trunk is reachable, either for
code convenience or because emitting an alta is impossible (an empty
rbyd for example):
altbgt 0x403 w0 0x7b
altbgt 0x402 w0 0x29
altbgt 0x401 w0 0x4
null
Yet another tag encoding, but hopefully narrowing in on a good long term
design. This change trades a subtype bit for the ability to extend
subtypes indefinitely via leb128 in the future.
The immediate benefit is ~unlimited custom attributes, though I'm not
sure how to make this configurable yet. Extended custom attributes may
have a significant impact on alt tag sizes, so it may be worth
defaulting to only 8-bit custom attributes still.
Tag encoding:
vmmmtttt 0TTTTTTT 0wwwwwww 0sssssss
^--^---^--------^--------^--------^- valid bit
'---|--------|--------|--------|- 3-bit mode
'--------|--------|--------|- 4-bit suptype
'--------|--------|- leb128 subtype
'--------|- leb128 weight
'- leb128 size/jump
This limits subtypes to 7-bits, but this seems very reasonable at the
moment.
This also seems to limit custom attributes to 7-bits, but we can use two
separate suptypes to bring this back up to 8-bits. I was planning to do
this anyways to have separate "user-attributes" and "system-attributes",
so this actually fits in really well.
Optimizing a script? This might sound premature, but the tree rendering
was, uh, quite slow for any decently sized (>1024) btree.
The main reason is that tree generation is quite hacky in places, repeatedly
spitting out multiple copies of the inner node's rbyd trees for example.
Rather than rewrite the tree generation implementation to be smarter,
this just changes all edge representations to namedtuples (which may
reduce memory pressure a bit), and collects them into a Python set.
This has the effect of deduplicating generated edges efficiently, and
improved the rendering performance significantly.
---
I also considered memoizing rbyd tree, but dropped the idea since the
current renderer performs well enough.
This builds on dbgrbyd.py and dbgbtree.py by allowing for quick
debugging of the littlefs mtree, which is a btree of rbyd pairs with a
few bells and whistles.
This also comes with a number of tweaks to dbgrbyd.py and dbgbtree.py,
mostly changing rbyd addresses to support some more mdir friendly
formats.
The syntax for rbyd addresses is starting to converge into a couple
common patterns, which is nice for quickly determining what type of
address you are looking at at a glance:
- 0x12 => An rbyd at block 0x12
- 0x12.34 => An rbyd at block 0x12 with trunk 0x34
- 0x{12,34} => An rbyd at either block 0x12 or block 0x34 (an mdir)
- 0x{12,34}.56 => An rbyd at either block 0x12 or block 0x34 with trunk 0x56
These scripts have also been updated to support any number of blocks in
an rbyd address, for example 0x{12,34,56,78}. This is a bit of future
proofing. >2 blocks in mdirs may be explored in the future for the
increased redundancy.
LFSR_TAG_BNAME => LFSR_TAG_BRANCH
LFSR_TAG_BRANCH => LFSR_TAG_BTREE
Maybe this will be a problem in the future if our branch structure is
not the same as a standalone btree, but I don't really see that
happening.
Christopher Haster