Since this set of changes are fairly stable now, and show improved
balancing during range operations, it's probably a good checkpoint to
summarize the changes to the diverging range-removal algorithm.
From a high-level, the range-removal algorithm is mostly unchanged:
1. Guess if we are performing a range operation. This is determined by
the delta and sup/sub bits. If we aren't, do a normal append.
2. Diverging-lower: Start traversing the rbyd, but don't write out any
alts yet. If we find an alt where our range would diverge, transition
to the next step. If we don't, fall back to a normal append. This
requested range contains no alts in this case.
3. Diverged-lower: Write out alts < requested range. Keep track of the
resulting lower trunk and lower bound.
4. Diverging-upper: Reset and start traversing the rbyd again, this time
writing out all alts that we know are common. This will become our
actual trunk.
When we find the diverging alt this time, replace it with a stitching
alt that points to the lower trunk.
5. Diverged-upper: Write out alts > requested range.
6. Create a new leaf alt as normal, but using the lower trunk's lower
bound and upper trunk's upper bound.
What has changed is how we prune alts in the requested range after we've
found the diverging alt.
Previously, we would simply remove these alts from the tree, but this
would throw away color information and result in an unbalanced 2-3-4
tree. Not an immediately obvious issue since the actual binary tree
stays more-or-less balanced, but as more rbyd operations pile on the
self-balancing breaks, and the resulting tree could become up to ~2x
unabalanced:
.-------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
'------+------'
remove
.--------o
.---o---. |
.-o-. .-o-. |
.o. .o. .o. .o. |
a b c d e f g h i
^
append j'k'l'
.-----o
.--------o .-+-r
.---o---. | | | |
.-o-. .-o-. | | | |
.o. .o. .o. .o. | | | |
a b c d e f g h i j'k'l'
^
append m'n'o'p'q'r'
.-------------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'
Now, instead, we preserve 2-3-4 nodes by only removing alts that are red
or have a red neighbor. Black alts are not removed, but instead
converted to "alt-never" (altn) alts that represent a sort of empty
1-node:
.---> a rm me
| .-> b red prune .-> b
-r-b-> c => ---b-> c
.-> a rm me v-------- altn
.-b-> b black flatten .-b-> b -.
| .-> c => | .-> c +- note the tree is balanced
-b-b-> d -b-b-> d -'
lfsr_rbyd_p_recolor is extended such that if we push up a red alt into
an altn, instead of recoloring red, we just reclaim the altn. This
effectively transitions from a 1-node -> 2-node in the same way
recoloring transitions from a 2-node -> 3-node or 3->node -> 4-node:
.-> a' .-> a'
.-b-> b insert a' .-r-b-> b reclaim altn .-b-> b
| .-> c => | .-> c => | .-> c
-b-b-> d -b-b-> d -b-b-> d
The result, counterintuitively, is that by introducing otherwise
unecessary altns, we can preserve the structure of the 2-3-4 tree and
better preserve the balance of the tree:
.-------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
'------+------'
remove
.--------o
.---o---. o
.-o-. .-o-. o
.o. .o. .o. .o. o
a b c d e f g h i
^
append j'k'l'm'
.----------------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'
^
append n'o'p'q'r's'
.----------------------------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'
Though I guess altns technically make this a 1-2-3-4 tree...
Note that this algorithm does _not_ maintain a strictly balanced tree in
terms of the current number of attrs, h<=log n. But it _does_ maintain a
balanced tree in terms of the worst possible sequence of append
operations. And since our rbyd are bounded by our block size, this is
strictly h<=log b.
---
This algorithm, as implemented, is not perfect.
We are correctly maintaining the 2-3-4 structure both before and after
the tree diverges, but this is a bit hand-wavey about the diverging alt
itself. And the diverging alt proves to be annoyingly tricky.
We want to replace the diverging alt with a stitching alt to tie
together the lower and upper diverged paths, but doing so while
maintaining the color the diverging alt interacts with later red flips
and yellow splits in _very_ ugly ways.
The solution right now is to just unconditionally recolor the diverging
alt black. This avoids a whole set of diverged-recoloring issues, but
does risk unbalancing our tree by +1 if we diverge on a red alt.
Still, this is a significant improvement over the +~2x of the previous
algorithm. And the altns introduce significant flexiblity into the tree,
so it may be possible to avoid this +1 unbalancing at some point in the
future.
---
This commit is mainly a cleanup commit, removing commented-out code,
debugging printfs, asserts, etc.
Other minor changes:
- Move y_branch updates to beginning of alt loop, instead of in every
single branch tail.
- Deduplicated black recoloring in lfsr_rbyd_p_recolor again.
- Made leaf-split red recoloring unconditional, since all leaf-split
alts are now red. This is a good sign that our new algorithm is more
correct.
Now that the dust has settled, we can look into how these algorithm
tweaks impact code cost:
code stack
rr-div-naive: 33968 2864
rr-div-altn: 34308 (+1.0%) 2864 (+0.0%)
If we focus on lfsr_rbyd_appendattr, which contains almost all of the
actual diverging logic, we can also compare against the original naive
stitching algorithm (rr-stitching). Keep in mind rr-stitching could
increase the binary height by ~2x, naive diverging (rr-div-naive) the
2-3-4 height by ~2x, and our current algorithm (rr-div-altn) the 2-3-4
height by ~1:
code frame stack
appendattr rr-stitching: 1940 184 536
appendattr rr-div-naive: 2028 (+4.5%) 200 (+8.7%) 552 (+3.0%)
appendattr rr-div-altn: 2584 (+33.2%) 232 (+26.1%) 584 (+9.0%)
Unfortunately our new algorithm does end up costly. This seems to mainly
be due to the extra altn-specific logic, as well as the more complicated
pruning logic. Maybe the pruning logic deserves more work?
Still, the value is having an actually correct algorithm. And thanks to
altns, we have much stronger proofs over how range operations affect the
underlying 2-3-4 tree balance.
littlefs
A little fail-safe filesystem designed for microcontrollers.
| | | .---._____
.-----. | |
--|o |---| littlefs |
--| |---| |
'-----' '----------'
| | |
Power-loss resilience - littlefs is designed to handle random power failures. All file operations have strong copy-on-write guarantees and if power is lost the filesystem will fall back to the last known good state.
Dynamic wear leveling - littlefs is designed with flash in mind, and provides wear leveling over dynamic blocks. Additionally, littlefs can detect bad blocks and work around them.
Bounded RAM/ROM - littlefs is designed to work with a small amount of memory. RAM usage is strictly bounded, which means RAM consumption does not change as the filesystem grows. The filesystem contains no unbounded recursion and dynamic memory is limited to configurable buffers that can be provided statically.
Example
Here's a simple example that updates a file named boot_count every time
main runs. The program can be interrupted at any time without losing track
of how many times it has been booted and without corrupting the filesystem:
#include "lfs.h"
// variables used by the filesystem
lfs_t lfs;
lfs_file_t file;
// configuration of the filesystem is provided by this struct
const struct lfs_config cfg = {
// block device operations
.read = user_provided_block_device_read,
.prog = user_provided_block_device_prog,
.erase = user_provided_block_device_erase,
.sync = user_provided_block_device_sync,
// block device configuration
.read_size = 16,
.prog_size = 16,
.block_size = 4096,
.block_count = 128,
.cache_size = 16,
.lookahead_size = 16,
.block_cycles = 500,
};
// entry point
int main(void) {
// mount the filesystem
int err = lfs_mount(&lfs, &cfg);
// reformat if we can't mount the filesystem
// this should only happen on the first boot
if (err) {
lfs_format(&lfs, &cfg);
lfs_mount(&lfs, &cfg);
}
// read current count
uint32_t boot_count = 0;
lfs_file_open(&lfs, &file, "boot_count", LFS_O_RDWR | LFS_O_CREAT);
lfs_file_read(&lfs, &file, &boot_count, sizeof(boot_count));
// update boot count
boot_count += 1;
lfs_file_rewind(&lfs, &file);
lfs_file_write(&lfs, &file, &boot_count, sizeof(boot_count));
// remember the storage is not updated until the file is closed successfully
lfs_file_close(&lfs, &file);
// release any resources we were using
lfs_unmount(&lfs);
// print the boot count
printf("boot_count: %d\n", boot_count);
}
Usage
Detailed documentation (or at least as much detail as is currently available) can be found in the comments in lfs.h.
littlefs takes in a configuration structure that defines how the filesystem operates. The configuration struct provides the filesystem with the block device operations and dimensions, tweakable parameters that tradeoff memory usage for performance, and optional static buffers if the user wants to avoid dynamic memory.
The state of the littlefs is stored in the lfs_t type which is left up
to the user to allocate, allowing multiple filesystems to be in use
simultaneously. With the lfs_t and configuration struct, a user can
format a block device or mount the filesystem.
Once mounted, the littlefs provides a full set of POSIX-like file and directory functions, with the deviation that the allocation of filesystem structures must be provided by the user.
All POSIX operations, such as remove and rename, are atomic, even in event of power-loss. Additionally, file updates are not actually committed to the filesystem until sync or close is called on the file.
Other notes
Littlefs is written in C, and specifically should compile with any compiler
that conforms to the C99 standard.
All littlefs calls have the potential to return a negative error code. The
errors can be either one of those found in the enum lfs_error in
lfs.h, or an error returned by the user's block device operations.
In the configuration struct, the prog and erase function provided by the
user may return a LFS_ERR_CORRUPT error if the implementation already can
detect corrupt blocks. However, the wear leveling does not depend on the return
code of these functions, instead all data is read back and checked for
integrity.
If your storage caches writes, make sure that the provided sync function
flushes all the data to memory and ensures that the next read fetches the data
from memory, otherwise data integrity can not be guaranteed. If the write
function does not perform caching, and therefore each read or write call
hits the memory, the sync function can simply return 0.
Design
At a high level, littlefs is a block based filesystem that uses small logs to store metadata and larger copy-on-write (COW) structures to store file data.
In littlefs, these ingredients form a sort of two-layered cake, with the small logs (called metadata pairs) providing fast updates to metadata anywhere on storage, while the COW structures store file data compactly and without any wear amplification cost.
Both of these data structures are built out of blocks, which are fed by a common block allocator. By limiting the number of erases allowed on a block per allocation, the allocator provides dynamic wear leveling over the entire filesystem.
root
.--------.--------.
| A'| B'| |
| | |-> |
| | | |
'--------'--------'
.----' '--------------.
A v B v
.--------.--------. .--------.--------.
| C'| D'| | | E'|new| |
| | |-> | | | E'|-> |
| | | | | | | |
'--------'--------' '--------'--------'
.-' '--. | '------------------.
v v .-' v
.--------. .--------. v .--------.
| C | | D | .--------. write | new E |
| | | | | E | ==> | |
| | | | | | | |
'--------' '--------' | | '--------'
'--------' .-' |
.-' '-. .-------------|------'
v v v v
.--------. .--------. .--------.
| F | | G | | new F |
| | | | | |
| | | | | |
'--------' '--------' '--------'
More details on how littlefs works can be found in DESIGN.md and SPEC.md.
-
DESIGN.md - A fully detailed dive into how littlefs works. I would suggest reading it as the tradeoffs at work are quite interesting.
-
SPEC.md - The on-disk specification of littlefs with all the nitty-gritty details. May be useful for tooling development.
Testing
The littlefs comes with a test suite designed to run on a PC using the
emulated block device found in the bd directory.
The tests assume a Linux environment and can be started with make:
make test
License
The littlefs is provided under the BSD-3-Clause license. See LICENSE.md for more information. Contributions to this project are accepted under the same license.
Individual files contain the following tag instead of the full license text.
SPDX-License-Identifier: BSD-3-Clause
This enables machine processing of license information based on the SPDX License Identifiers that are here available: http://spdx.org/licenses/
Related projects
-
littlefs-fuse - A FUSE wrapper for littlefs. The project allows you to mount littlefs directly on a Linux machine. Can be useful for debugging littlefs if you have an SD card handy.
-
littlefs-js - A javascript wrapper for littlefs. I'm not sure why you would want this, but it is handy for demos. You can see it in action here.
-
littlefs-python - A Python wrapper for littlefs. The project allows you to create images of the filesystem on your PC. Check if littlefs will fit your needs, create images for a later download to the target memory or inspect the content of a binary image of the target memory.
-
mklfs - A command line tool built by the Lua RTOS guys for making littlefs images from a host PC. Supports Windows, Mac OS, and Linux.
-
Mbed OS - The easiest way to get started with littlefs is to jump into Mbed which already has block device drivers for most forms of embedded storage. littlefs is available in Mbed OS as the LittleFileSystem class.
-
SPIFFS - Another excellent embedded filesystem for NOR flash. As a more traditional logging filesystem with full static wear-leveling, SPIFFS will likely outperform littlefs on small memories such as the internal flash on microcontrollers.
-
Dhara - An interesting NAND flash translation layer designed for small MCUs. It offers static wear-leveling and power-resilience with only a fixed O(|address|) pointer structure stored on each block and in RAM.