Christopher Haster 233fc2c212 rbyd-rr: Attempting correct balance of the diverging node itself
So far, our color-balance preserving range removal algorithm is working
great:

- Common trunk? color-balance preserving ✓
- Lower-diverged trunk? color-balance preserving ✓
- Upper-diverged trunk? color-balance preserving ✓

The only hole in our algorithm is the color-balance of the diverging
node itself.

Up until now we've simply recolored the diverging alt black, as this
avoids a large number of complicated corner cases. Unfortunately this
has the consequence of potentially offsetting the balance of our tree
by +-1:

      .->            b->      .---b-> h=2 -.
  .---b-> rm me               |            |
  |   .->        =>       =>  b-b-b->      +- unbalanced :(
  | .-b->                       | '->      |
  | | .->                       | .->      |
  r-b-b->                       '-b-> h=3 -'
  ^
  diverging

This attempts to preserve the coloring of the diverging alt, and
preserve the color-balance, but we quickly run into the, uh, previously
mentioned complicated corner cases...

- First to note, we _can_ preserve red coloring on the gt path:

        .->            b->     .---b-> h=2 -.
    .---b-> rm me              |            |
    |   .->        =>       => r-b-b->      +- balanced :)
    | .-b->                      | '->      |
    | | .->                      | .->      |
    r-b-b->                      '-b-> h=2 -'
    ^
    diverging

  But only if it isn't a part of a pending yellow split. If it _is_ a
  pending yellow split, the yellow split may try to reference the
  yellow node in the history, but this won't work because our history
  has been modified:

          .->                           .-> h=2 -.
    .-----b->                     .-----b->      |
    |     .->            b->      | .---b->      |
    | .---b-> rm me  =>       =>  | |            +- unbalanced :(
    | |   .->                     r-b-b-b->      |
    | | .-b->                         | '->      |
    | | | .->                         '-b->      |
    y-r-b-b->                           '-> h=3 -'
      ^                           '-+-'
      diverging                     wants to have split

- As for the le path, we can't even preserve the red coloring! For this
  to work we would need to somehow color a flipped alt red (so the
  "follow" edge is red, not the "not-follow"), but this isn't possible
  with our encoding scheme (and definitely not worth reserving a whole
  additional bit in every alt for):

    r-b-b->            .-b->        .-b-> h=3 -.
    | | '->            | '->        | '->      |
    | '-b->        =>  | .->  =>    | .->      +- unbalanced :(
    |   '->            b-b->      .-b-b->      |
    '---b-> rm me                 |            |
        '->                       b---b-> h=2 -'
    ^                             ^
    diverging                     this wants to be red

  The reason we can preserve reds on the gt path but not the le path is
  because we write the le path first and stitch on the gt path. If
  instead you wrote the gt path first, this would be flipped:

    r-b-b->                       .-b-> h=2 -.
    | | '->                       | '->      |
    | '-b->        =>       =>    | .->      +- balanced :)
    |   '->                     r-b-b->      |
    '---b-> rm me               |            |
        '->            b->      '---b-> h=2 -'
    ^
    diverging

  In theory, you could do _another_ pass over the tree to figure out
  which order is needed to preserve coloring. But this would be an even
  more complicated mess...

  Not to mention this wouldn't even completely solve the color-balance
  of the diverging alt because of yellow split issues...

  And we haven't even touched issues related to yellow split color
  propagation! Fortunately this JustWorksTM on the gt path, since it
  mostly looks like a normal trunk after stitching. But we completely
  ignore yellow split color propagation on the le path since this runs
  into many of the same issues as red flipping.

  But if you manage to make it though all of this mess while preserving
  color-balance (code size be damned), we arive on what seems to be an
  impossible case: How do you preserve color balance of a diverging alt
  when both paths contain a pending yellow split?

            .->                .->            .-> h=4 -.
      .-----b->              .-b->          .-b->      |
      |     .->              | .->          | .->      |
      | .---b->            .-y-b->        .-y-b->      |
      | |   .->            |   .->        |   .->      |
      | | .-b->            | .-b->        | .-b->      |
      | | | .->            b-b-b->      .-b-b-b->      |
    .-y-r-b-b-> rm me  =>           =>  |              +- unbalanced :(
    |       .->                         r-b-b-b->      |
    | .-----b->                           | | '->      |
    | |     .->                           | | .->      |
    | | .---b->                           | '-b->      |
    | | |   .->                           |   .->      |
    | | | .-b->                           | .-b->      |
    | | | | .->                           | | .->      |
    b-y-r-b-b->                           '-b-b-> h=3 -'
    ^                      ^
    diverging              lost color propagation

  This seems to violate tail recursion!

Anyways, this turned into a bit of a rant and a bit of a mess.

If anyone reads this and is interested in exploring the balancing issues
further, the diverging alt logic currently contains some commented-out
coloring conditions:

  (true) / (false) / (lfsr_tag_isred(p_alts[0]))

These are currently commented-out to what is currently known to be
optimal (see above), but can be tweaked to try to preserve different
colorings.
2024-04-19 00:16:42 -05:00
2019-09-01 21:11:49 -07:00
2024-03-20 01:37:29 -05:00
2022-03-20 23:03:52 -05:00
2022-11-09 11:12:20 -06:00
2022-02-18 21:13:41 -06:00

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/

  • 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.

S
Description
A little fail-safe filesystem designed for microcontrollers
https://github.com/littlefs-project/littlefs.git Readme 14 MiB
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Python 30.7%
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