I've been scratching my head over our rbyd perturb scheme. It's gotten
rather clunky with needing to xor valid bits and whatnot.
But it's tricky with needing erased-state to be included in parity bits,
while at the same time excluded from our canonical checksum. If only
there was some way to flip the checksums parity without changing its
value...
Enter the crc32c odd-parity zero: 0xfca42daf!
This bends the definition of zero a bit, but it is one of two numbers in
our crc32c-ring with a very interesting property:
crc32c(m) == crc32c(m xor 0xfca42daf) xor 0xfca42daf // odd-p zero
crc32c(m) == crc32c(m xor 0x00000000) xor 0x00000000 // even-p zero
Recall that crc32c's polynomial, 0x11edc6f41, is composed of two
polynomials: 0x3, the parity polynomial, and 0xf5b4253f, a maximally
sized irreducible polynomial. Because our polynomial breaks down into
two smaller polynomials, our crc32c space turns out to not be a field,
but rather a ring containing two smaller sub-fields. Because these
sub-fields are defined by their polynomials, one is the 31-bit crc
defined by the polynomial 0xf5b4253f, while the other is the current
parity.
We can move in the parity sub-field without changing our position in the
31-bit crc sub-field by xoring with a number that is one in the parity
sub-field, but zero in the 31-bit crc sub-field.
This number happens to be 0xf5b4253f (0xfca42daf bit-reversed)!
(crcs being bit-reversed will never not be annoying)
So long story short, xoring any crc32c with 0xfca42daf will change its
parity but not its value.
---
An that's basically our new perturb scheme. If we need to perturb, xor
with 0xfca42daf to change the parity, and after calculating/validating
the checksum, xor with 0xfca42daf to get our canonical checksum.
Isn't that neat!
There was one small hiccup: At first I assumed you could continue
including the valid bits in the checksum, which would have been nice for
bulk checksumming. But this doesn't work because while valid bits cancel
out so the parity doesn't change, changing valid bits _does_ change the
underlying 31-bit crc, poisoning our checksum and making everything a
mess.
So we still need to mask out valid bits, which is a bit annoying.
But then I stumbled on the funny realization that by masking our valid
bits, we accidentally end up with a fully functional parity scheme.
Because valid bits _don't_ include the previous valid bit, we can figure
out the parity for not only the entire commit, but also each individual
tag:
80 03 00 08 6c 69 74 74 6c 65 66 73 80
^'----------------.---------------' ^
| | |
v + parity = v'
Or more simply:
80 03 00 08 6c 69 74 74 6c 65 66 73 80
'----------------.----------------' ^
| |
parity = v'
Double neat!
Some other notes:
- By keeping the commit checksum perturbed, but not the canonical
checksum, the perturb state is self-validating. We no longer need to
explicitly check the previous-perturb-bit (q) to avoid the perturb
hole we ran into previously.
I'm still keeping the previous-perturb-bit (q) around, since it's
useful for debugging. We still need to know the perturb state
internally at all times in order to xor out the canonical checksum
correctly anyways.
- Thanks to all of our perturb iterations, we now know how to remove the
valid bits from the checksum easily:
cksum ^= 0x00000080 & (tag >> 8)
This makes the whole omitting-valid-bits thing less of a pain point.
- It wasn't actually worth it to perturb the checksum when building
commits, vs manually flipping each valid bit, as this would have made
our internal appendattr API really weird.
At least the perturbed checksum made fetch a bit simpler.
Not sure exactly how to draw this with our perturb scheme diagrams,
maybe something like this?
.---+---+---+---. \ \ \ \
|v| tag | | | | |
+---+---+---+---+ | | | |
| commit | | | | |
| | +-. | | |
+---+---+---+---+ / | | | |
|v|qp-------------->p>p-->p .
+---+---+---+---+ | . . .
| cksum | | . . .
+---+---+---+---+ | . . .
| padding | | . . .
| | | . . .
+---+---+---+---+ | | | |
|v------------------' | | |
+---+---+---+---+ | | |
| commit | +-. | +- rbyd
| | | | | | cksum
+---+---+---+---+ / | +-. /
|v----------------------' | |
+-------+---+---+ / |
| cksum ----------------'
+---+---+---+---+
| padding |
| |
+---+---+---+---+
| erased |
| |
. .
. .
---
Code changes were minimal, saving a tiny bit of code:
code stack
before: 36368 2664
after: 36352 (-0.0%) 2672 (+0.3%)
There was a stack bump in lfsr_bd_readtag, but as far as I can tell it's
just compiler noise? I poked around a bit but couldn't figure out why it
changed...
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.