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authorChristopher Haster <chaster@utexas.edu>2017-05-19 07:44:18 +0300
committerChristopher Haster <chaster@utexas.edu>2017-05-19 07:44:18 +0300
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+## The design of the little filesystem
+
+The littlefs is a little fail-safe filesystem designed for embedded systems.
+
+```
+ | | | .---._____
+ .-----. | |
+--|o |---| littlefs |
+--| |---| |
+ '-----' '----------'
+ | | |
+```
+
+For a bit of backstory, the littlefs was developed with the goal of learning
+more about filesystem design by tackling the relative unsolved problem of
+managing a robust filesystem resilient to power loss on devices
+with limited RAM and ROM.
+
+The embedded systems the littlefs is targeting are usually 32bit
+microcontrollers with around 32Kbytes of RAM and 512Kbytes of ROM. These are
+often paired with SPI NOR flash chips with about 4Mbytes of flash storage.
+
+Flash itself is a very interesting piece of technology with quite a bit of
+nuance. Unlike most other forms of storage, writing to flash requires two
+operations: erasing and programming. The programming operation is relatively
+cheap, and can be very granular. For NOR flash specifically, byte-level
+programs are quite common. Erasing, however, requires an expensive operation
+that forces the state of large blocks of memory to reset in a destructive
+reaction that gives flash its name. The [Wikipedia entry](https://en.wikipedia.org/wiki/Flash_memory)
+has more information if you are interesting in how this works.
+
+This leaves us with an interesting set of limitations that can be simplified
+to three strong requirements:
+
+1. **Fail-safe** - This is actually the main goal of the littlefs and the focus
+ of this project. Embedded systems are usually designed without a shutdown
+ routine and a notable lack of user interface for recovery, so filesystems
+ targeting embedded systems should be prepared to lose power an any given
+ time.
+
+ Despite this state of things, there are very few embedded filesystems that
+ handle power loss in a reasonable manner, and can become corrupted if the
+ user is unlucky enough.
+
+2. **Wear awareness** - Due to the destructive nature of flash, most flash
+ chips have a limited number of erase cycles, usually in the order of around
+ 100,000 erases per block for NOR flash. Filesystems that don't take wear
+ into account can easily burn through blocks used to store frequently updated
+ metadata.
+
+ Consider the [FAT filesystem](https://en.wikipedia.org/wiki/Design_of_the_FAT_file_system),
+ which stores a file allocation table (FAT) at a specific offset from the
+ beginning of disk. Every block allocation will update this table, and after
+ 100,000 updates, the block will likely go bad, rendering the filesystem
+ unusable even if there are many more erase cycles available on the storage.
+
+3. **Bounded RAM/ROM** - Even with the design difficulties presented by the
+ previous two limitations, we have already seen several flash filesystems
+ developed on PCs that handle power loss just fine, such as the
+ logging filesystems. However, these filesystems take advantage of the
+ relatively cheap access to RAM, and use some rather... opportunistic...
+ techniques, such as reconstructing the entire directory structure in RAM.
+ These operations make perfect sense when the filesystem's only concern is
+ erase cycles, but the idea is a bit silly on embedded systems.
+
+ To cater to embedded systems, the littlefs has the simple limitation of
+ using only a bounded amount of RAM and ROM. That is, no matter what is
+ written to the filesystem, and no matter how large the underlying storage
+ is, the littlefs will always use the same amount of RAM and ROM. This
+ presents a very unique challenge, and makes presumably simple operations,
+ such as iterating through the directory tree, surprisingly difficult.
+
+## Existing designs?
+
+There are of course, many different existing filesystem. Heres a very rough
+summary of the general ideas behind some of them.
+
+Most of the existing filesystems fall into the one big category of filesystem
+designed in the early days of spinny magnet disks. While there is a vast amount
+of interesting technology and ideas in this area, the nature of spinny magnet
+disks encourage properties such as grouping writes near each other, that don't
+make as much sense on recent storage types. For instance, on flash, write
+locality is not as important and can actually increase wear destructively.
+
+One of the most popular designs for flash filesystems is called the
+[logging filesystem](https://en.wikipedia.org/wiki/Log-structured_file_system).
+The flash filesystems [jffs](https://en.wikipedia.org/wiki/JFFS)
+and [yaffs](https://en.wikipedia.org/wiki/YAFFS) are good examples. In
+logging filesystem, data is not store in a data structure on disk, but instead
+the changes to the files are stored on disk. This has several neat advantages,
+such as the fact that the data is written in a cyclic log format naturally
+wear levels as a side effect. And, with a bit of error detection, the entire
+filesystem can easily be designed to be resilient to power loss. The
+journalling component of most modern day filesystems is actually a reduced
+form of a logging filesystem. However, logging filesystems have a difficulty
+scaling as the size of storage increases. And most filesystems compensate by
+caching large parts of the filesystem in RAM, a strategy that is unavailable
+for embedded systems.
+
+Another interesting filesystem design technique that the littlefs borrows the
+most from, is the [copy-on-write (COW)](https://en.wikipedia.org/wiki/Copy-on-write).
+A good example of this is the [btrfs](https://en.wikipedia.org/wiki/Btrfs)
+filesystem. COW filesystems can easily recover from corrupted blocks and have
+natural protection against power loss. However, if they are not designed with
+wear in mind, a COW filesystem could unintentionally wear down the root block
+where the COW data structures are synchronized.
+
+## Metadata pairs
+
+The core piece of technology that provides the backbone for the littlefs is
+the concept of metadata pairs. The key idea here, is that any metadata that
+needs to be updated atomically is stored on a pair of blocks tagged with
+a revision count and checksum. Every update alternates between these two
+pairs, so that at any time there is always a backup containing the previous
+state of the metadata.
+
+Consider a small example where each metadata pair has a revision count,
+a number as data, and the xor of the block as a quick checksum. If
+we update the data to a value of 9, and then to a value of 5, here is
+what the pair of blocks may look like after each update:
+```
+ block 1 block 2 block 1 block 2 block 1 block 2
+.---------.---------. .---------.---------. .---------.---------.
+| rev: 1 | rev: 0 | | rev: 1 | rev: 2 | | rev: 3 | rev: 2 |
+| data: 3 | data: 0 | -> | data: 3 | data: 9 | -> | data: 5 | data: 9 |
+| xor: 2 | xor: 0 | | xor: 2 | xor: 11 | | xor: 6 | xor: 11 |
+'---------'---------' '---------'---------' '---------'---------'
+ let data = 9 let data = 5
+```
+
+After each update, we can find the most up to date value of data by looking
+at the revision count.
+
+Now consider what the blocks may look like if we suddenly loss power while
+changing the value of data to 5:
+```
+ block 1 block 2 block 1 block 2 block 1 block 2
+.---------.---------. .---------.---------. .---------.---------.
+| rev: 1 | rev: 0 | | rev: 1 | rev: 2 | | rev: 3 | rev: 2 |
+| data: 3 | data: 0 | -> | data: 3 | data: 9 | -x | data: 3 | data: 9 |
+| xor: 2 | xor: 0 | | xor: 2 | xor: 11 | | xor: 2 | xor: 11 |
+'---------'---------' '---------'---------' '---------'---------'
+ let data = 9 let data = 5
+ powerloss!!!
+```
+
+In this case, block 1 was partially written with a new revision count, but
+the littlefs hadn't made it to updating the value of data. However, if we
+check our checksum we notice that block 1 was corrupted. So we fall back to
+block 2 and use the value 9.
+
+Using this concept, the littlefs is able to update metadata blocks atomically.
+There are a few other tweaks, such as using a 32bit crc and using sequence
+arithmetic to handle revision count overflow, but the basic concept
+is the same. These metadata pairs define the backbone of the littlefs, and the
+rest of the filesystem is built on top of these atomic updates.
+
+## Files
+
+Now, the metadata pairs do come with some drawbacks. Most notably, each pair
+requires two blocks for each block of data. I'm sure users would be very
+unhappy if their storage was suddenly cut in half! Instead of storing
+everything in these metadata blocks, the littlefs uses a COW data structure
+for files which is in turn pointed to by a metadata block. When
+we update a file, we create a copies of any blocks that are modified until
+the metadata blocks are updated with the new copy. Once the metadata block
+points to the new copy, we deallocate the old blocks that are no longer in use.
+
+Here is what updating a one-block file may look like:
+```
+ block 1 block 2 block 1 block 2 block 1 block 2
+.---------.---------. .---------.---------. .---------.---------.
+| rev: 1 | rev: 0 | | rev: 1 | rev: 0 | | rev: 1 | rev: 2 |
+| file: 4 | file: 0 | -> | file: 4 | file: 0 | -> | file: 4 | file: 5 |
+| xor: 5 | xor: 0 | | xor: 5 | xor: 0 | | xor: 5 | xor: 7 |
+'---------'---------' '---------'---------' '---------'---------'
+ | | |
+ v v v
+ block 4 block 4 block 5 block 4 block 5
+.--------. .--------. .--------. .--------. .--------.
+| old | | old | | new | | old | | new |
+| data | | data | | data | | data | | data |
+| | | | | | | | | |
+'--------' '--------' '--------' '--------' '--------'
+ update data in file update metadata pair
+```
+
+It doesn't matter if we lose power while writing block 5 with the new data,
+since the old data remains unmodified in block 4. This example also
+highlights how the atomic updates of the metadata blockss provide a
+synchronization barrier for the rest of the littlefs.
+
+At this point, it may look like we are wasting an awfully large amount
+of space on the metadata. Just looking at that example, we are using
+three blocks to represent a file that fits comfortably in one! So instead
+of giving each file a metadata pair, we actually store the metadata for
+all files contained in a single directory in a single metadata block.
+
+Now we could just leave files here, copying the entire file on write
+provides the synchronization without the duplicated memory requirements
+of the metadata blocks. However, we can do a bit better.
+
+## CTZ linked-lists
+
+There are many different data structures for representing the actual
+files in filesystems. Of these, the littlefs uses a rather unique [COW](https://upload.wikimedia.org/wikipedia/commons/0/0c/Cow_female_black_white.jpg)
+data structure that allows the filesystem to reuse unmodified parts of the
+file without additional metadata pairs.
+
+First lets consider storing files in a simple linked-list. What happens when
+append a block? We have to change the last block in the linked-list to point
+to this new block, which means we have to copy out the last block, and change
+the second-to-last block, and then the third-to-last, and so on until we've
+copied out the entire file.
+
+```
+Exhibit A: A linked-list
+.--------. .--------. .--------. .--------. .--------. .--------.
+| data 0 |->| data 1 |->| data 2 |->| data 4 |->| data 5 |->| data 6 |
+| | | | | | | | | | | |
+| | | | | | | | | | | |
+'--------' '--------' '--------' '--------' '--------' '--------'
+```
+
+To get around this, the littlefs, at its heart, stores files backwards. Each
+block points to its predecessor, with the first block containing no pointers.
+If you think about this, it makes a bit of sense. Appending blocks just point
+to their predecessor and no other blocks need to be updated. If we update
+a block in the middle, we will need to copy out the blocks that follow,
+but can reuse the blocks before the modified block. Since most file operations
+either reset the file each write or append to files, this design avoids
+copying the file in the most common cases.
+
+```
+Exhibit B: A backwards linked-list
+.--------. .--------. .--------. .--------. .--------. .--------.
+| data 0 |<-| data 1 |<-| data 2 |<-| data 4 |<-| data 5 |<-| data 6 |
+| | | | | | | | | | | |
+| | | | | | | | | | | |
+'--------' '--------' '--------' '--------' '--------' '--------'
+```
+
+However, a backwards linked-list does come with a rather glaring problem.
+Iterating over a file _in order_ has a runtime of O(n^2). Gah! A quadratic
+runtime to just _read_ a file? That's awful. Keep in mind reading files are
+usually the most common filesystem operation.
+
+To avoid this problem, the littlefs uses a multilayered linked-list. For
+every block that is divisible by a power of two, the block contains an
+additional pointer that points back by that power of two. Another way of
+thinking about this design is that there are actually many linked-lists
+threaded together, with each linked-lists skipping an increasing number
+of blocks. If you're familiar with data-structures, you may have also
+recognized that this is a deterministic skip-list.
+
+To find the power of two factors efficiently, we can use the instruction
+[count trailing zeros (CTZ)](https://en.wikipedia.org/wiki/Count_trailing_zeros),
+which is where this linked-list's name comes from.
+
+```
+Exhibit C: A backwards CTZ linked-list
+.--------. .--------. .--------. .--------. .--------. .--------.
+| data 0 |<-| data 1 |<-| data 2 |<-| data 3 |<-| data 4 |<-| data 5 |
+| |<-| |--| |<-| |--| | | |
+| |<-| |--| |--| |--| | | |
+'--------' '--------' '--------' '--------' '--------' '--------'
+```
+
+Taking exhibit C for example, here is the path from data block 5 to data
+block 1. You can see how data block 3 was completely skipped:
+```
+.--------. .--------. .--------. .--------. .--------. .--------.
+| data 0 | | data 1 |<-| data 2 | | data 3 | | data 4 |<-| data 5 |
+| | | | | |<-| |--| | | |
+| | | | | | | | | | | |
+'--------' '--------' '--------' '--------' '--------' '--------'
+```
+
+The path to data block 0 is even more quick, requiring only two jumps:
+```
+.--------. .--------. .--------. .--------. .--------. .--------.
+| data 0 | | data 1 | | data 2 | | data 3 | | data 4 |<-| data 5 |
+| | | | | | | | | | | |
+| |<-| |--| |--| |--| | | |
+'--------' '--------' '--------' '--------' '--------' '--------'
+```
+
+The CTZ linked-list has quite a few interesting properties. All of the pointers
+in the block can be found by just knowing the index in the list of the current
+block, and, with a bit of math, the amortized overhead for the linked-list is
+only two pointers per block. Most importantly, the CTZ linked-list has a
+worst case lookup runtime of O(logn), which brings the runtime of reading a
+file down to O(n logn). Given that the constant runtime is divided by the
+amount of data we can store in a block, this is pretty reasonable.
+
+Here is what it might look like to update a file stored with a CTZ linked-list:
+```
+ block 1 block 2
+ .---------.---------.
+ | rev: 1 | rev: 0 |
+ | file: 6 | file: 0 |
+ | size: 4 | xor: 0 |
+ | xor: 3 | xor: 0 |
+ '---------'---------'
+ |
+ v
+ block 3 block 4 block 5 block 6
+.--------. .--------. .--------. .--------.
+| data 0 |<-| data 1 |<-| data 2 |<-| data 3 |
+| |<-| |--| | | |
+| | | | | | | |
+'--------' '--------' '--------' '--------'
+
+| update data in file
+v
+
+ block 1 block 2
+ .---------.---------.
+ | rev: 1 | rev: 0 |
+ | file: 6 | file: 0 |
+ | size: 4 | size: 0 |
+ | xor: 3 | xor: 0 |
+ '---------'---------'
+ |
+ v
+ block 3 block 4 block 5 block 6
+.--------. .--------. .--------. .--------.
+| data 0 |<-| data 1 |<-| old |<-| old |
+| |<-| |--| data 2 | | data 3 |
+| | | | | | | |
+'--------' '--------' '--------' '--------'
+ ^ ^ ^
+ | | | block 7 block 8 block 9 block 10
+ | | | .--------. .--------. .--------. .--------.
+ | | '----| new |<-| new |<-| new |<-| new |
+ | '----------------| data 2 |<-| data 3 |--| data 4 | | data 5 |
+ '------------------| |--| |--| | | |
+ '--------' '--------' '--------' '--------'
+
+| update metadata pair
+v
+
+ block 1 block 2
+ .---------.---------.
+ | rev: 1 | rev: 2 |
+ | file: 6 | file: 10|
+ | size: 4 | size: 6 |
+ | xor: 3 | xor: 14 |
+ '---------'---------'
+ |
+ |
+ block 3 block 4 block 5 block 6 |
+.--------. .--------. .--------. .--------. |
+| data 0 |<-| data 1 |<-| old |<-| old | |
+| |<-| |--| data 2 | | data 3 | |
+| | | | | | | | |
+'--------' '--------' '--------' '--------' |
+ ^ ^ ^ v
+ | | | block 7 block 8 block 9 block 10
+ | | | .--------. .--------. .--------. .--------.
+ | | '----| new |<-| new |<-| new |<-| new |
+ | '----------------| data 2 |<-| data 3 |--| data 4 | | data 5 |
+ '------------------| |--| |--| | | |
+ '--------' '--------' '--------' '--------'
+```
+
+## Block allocation
+
+So those two ideas provide the grounds for the filesystem. The metadata pairs
+give us directories, and the CTZ linked-lists give us files. But this leaves
+one big [elephant](https://upload.wikimedia.org/wikipedia/commons/3/37/African_Bush_Elephant.jpg)
+of a question. How do we get those blocks in the first place?
+
+One common strategy is to store unallocated blocks in a big free list, and
+initially the littlefs was designed with this in mind. By storing a reference
+to the free list in every single metadata pair, additions to the free list
+could be updated atomically at the same time the replacement blocks were
+stored in the metadata pair. During boot, every metadata pair had to be
+scanned to find the most recent free list, but once the list was found the
+state of all free blocks becomes known.
+
+However, this approach had several issues:
+- There was a lot of nuanced logic for adding blocks to the free list without
+ modifying the blocks, since the blocks remain active until the metadata is
+ updated.
+- The free list had to support both additions and removals in fifo order while
+ minimizing block erases.
+- The free list had to handle the case where the file system completely ran
+ out of blocks and may no longer be able to add blocks to the free list.
+- If we used a revision count to track the most recently updated free list,
+ metadata blocks that were left unmodified were ticking time bombs that would
+ cause the system to go haywire if the revision count overflowed
+- Every single metadata block wasted space to store these free list references.
+
+Actually, to simplify, this approach had one massive glaring issue: complexity.
+
+> Complexity leads to fallibility.
+> Fallibility leads to unmaintainability.
+> Unmaintainability leads to suffering.
+
+Or at least, complexity leads to increased code size, which is a problem
+for embedded systems.
+
+In the end, the littlefs adopted more of a "drop it on the floor" strategy.
+That is, the littlefs doesn't actually store information about which blocks
+are free on the storage. The littlefs already stores which files _are_ in
+use, so to find a free block, the littlefs just takes all of the blocks that
+exist and subtract the blocks that are in use.
+
+Of course, it's not quite that simple. Most filesystems that adopt this "drop
+it on the floor" strategy either rely on some properties inherent to the
+filesystem, such as the cyclic-buffer structure of logging filesystems,
+or use a bitmap or table stored in RAM to track free blocks, which scales
+with the size of storage and is problematic when you have limited RAM. You
+could iterate through every single block in storage and check it against
+every single block in the filesystem on every single allocation, but that
+would have an abhorrent runtime.
+
+So the littlefs compromises. It doesn't store a bitmap the size of the storage,
+but it does store a little bit-vector that contains a fixed set lookahead
+for block allocations. During a block allocation, the lookahead vector is
+checked for any free blocks, if there are none, the lookahead region jumps
+forward and the entire filesystem is scanned for free blocks.
+
+Here's what it might look like to allocate 4 blocks on a decently busy
+filesystem with a 32bit lookahead and a total of
+128 blocks (512Kbytes of storage if blocks are 4Kbyte):
+```
+boot... lookahead:
+ fs blocks: fffff9fffffffffeffffffffffff0000
+scanning... lookahead: fffff9ff
+ fs blocks: fffff9fffffffffeffffffffffff0000
+alloc = 21 lookahead: fffffdff
+ fs blocks: fffffdfffffffffeffffffffffff0000
+alloc = 22 lookahead: ffffffff
+ fs blocks: fffffffffffffffeffffffffffff0000
+scanning... lookahead: fffffffe
+ fs blocks: fffffffffffffffeffffffffffff0000
+alloc = 63 lookahead: ffffffff
+ fs blocks: ffffffffffffffffffffffffffff0000
+scanning... lookahead: ffffffff
+ fs blocks: ffffffffffffffffffffffffffff0000
+scanning... lookahead: ffffffff
+ fs blocks: ffffffffffffffffffffffffffff0000
+scanning... lookahead: ffff0000
+ fs blocks: ffffffffffffffffffffffffffff0000
+alloc = 112 lookahead: ffff8000
+ fs blocks: ffffffffffffffffffffffffffff8000
+```
+
+While this lookahead approach still has an asymptotic runtime of O(n^2) to
+scan all of storage, the lookahead reduces the practical runtime to a
+reasonable amount. Bit-vectors are surprisingly compact, given only 16 bytes,
+the lookahead could track 128 blocks. For a 4Mbyte flash chip with 4Kbyte
+blocks, the littlefs would only need 8 passes to scan the entire storage.
+
+The real benefit of this approach is just how much it simplified the design
+of the littlefs. Deallocating blocks is as simple as simply forgetting they
+exist, and there is absolutely no concern of bugs in the deallocation code
+causing difficult to detect memory leaks.
+
+## Directories
+
+Now we just need directories to store our files. Since we already have
+metadata blocks that store information about files, lets just use these
+metadata blocks as the directories. Maybe turn the directories into linked
+lists of metadata blocks so it isn't limited by the number of files that fit
+in a single block. Add entries that represent other nested directories.
+Drop "." and ".." entries, cause who needs them. Dust off our hands and
+we now have a directory tree.
+
+```
+ .--------.
+ |root dir|
+ | pair 0 |
+ | |
+ '--------'
+ .-' '-------------------------.
+ v v
+ .--------. .--------. .--------.
+ | dir A |------->| dir A | | dir B |
+ | pair 0 | | pair 1 | | pair 0 |
+ | | | | | |
+ '--------' '--------' '--------'
+ .-' '-. | .-' '-.
+ v v v v v
+.--------. .--------. .--------. .--------. .--------.
+| file C | | file D | | file E | | file F | | file G |
+| | | | | | | | | |
+| | | | | | | | | |
+'--------' '--------' '--------' '--------' '--------'
+```
+
+Unfortunately it turns out it's not that simple. See, iterating over a
+directory tree isn't actually all that easy, especially when you're trying
+to fit in a bounded amount of RAM, which rules out any recursive solution.
+And since our block allocator involves iterating over the entire filesystem
+tree, possibly multiple times in a single allocation, iteration needs to be
+efficient.
+
+So, as a solution, the littlefs adopted a sort of threaded tree. Each
+directory not only contains pointers to all of its children, but also a
+pointer to the next directory. These pointers create a linked-list that
+is threaded through all of the directories in the filesystem. Since we
+only use this linked list to check for existance, the order doesn't actually
+matter. As an added plus, we can repurpose the pointer for the individual
+directory linked-lists and avoid using any additional space.
+
+```
+ .--------.
+ |root dir|-.
+ | pair 0 | |
+ .--------| |-'
+ | '--------'
+ | .-' '-------------------------.
+ | v v
+ | .--------. .--------. .--------.
+ '->| dir A |------->| dir B |------->| dir B |
+ | pair 0 | | pair 1 | | pair 0 |
+ | | | | | |
+ '--------' '--------' '--------'
+ .-' '-. | .-' '-.
+ v v v v v
+.--------. .--------. .--------. .--------. .--------.
+| file C | | file D | | file E | | file F | | file G |
+| | | | | | | | | |
+| | | | | | | | | |
+'--------' '--------' '--------' '--------' '--------'
+```
+
+This threaded tree approach does come with a few tradeoffs. Now, anytime we
+want to manipulate the directory tree, we find ourselves having to update two
+pointers instead of one. For anyone familiar with creating atomic data
+structures this should set off a whole bunch of red flags.
+
+But unlike the data structure guys, we can update a whole block atomically! So
+as long as we're really careful (and cheat a little bit), we can still
+manipulate the directory tree in a way that is resilient to power loss.
+
+Consider how we might add a new directory. Since both pointers that reference
+it can come from the same directory, we only need a single atomic update to
+finagle the directory into the filesystem:
+```
+ .--------.
+ |root dir|-.
+ | pair 0 | |
+.--| |-'
+| '--------'
+| |
+| v
+| .--------.
+'->| dir A |
+ | pair 0 |
+ | |
+ '--------'
+
+| create the new directory block
+v
+
+ .--------.
+ |root dir|-.
+ | pair 0 | |
+ .--| |-'
+ | '--------'
+ | |
+ | v
+ | .--------.
+.--------. '->| dir A |
+| dir B |---->| pair 0 |
+| pair 0 | | |
+| | '--------'
+'--------'
+
+| update root to point to directory B
+v
+
+ .--------.
+ |root dir|-.
+ | pair 0 | |
+.--------| |-'
+| '--------'
+| .-' '-.
+| v v
+| .--------. .--------.
+'->| dir B |->| dir A |
+ | pair 0 | | pair 0 |
+ | | | |
+ '--------' '--------'
+```
+
+Note that even though directory B was added after directory A, we insert
+directory B before directory A in the linked-list because it is convenient.
+
+Now how about removal:
+```
+ .--------. .--------.
+ |root dir|------->|root dir|-.
+ | pair 0 | | pair 1 | |
+.--------| |--------| |-'
+| '--------' '--------'
+| .-' '-. |
+| v v v
+| .--------. .--------. .--------.
+'->| dir A |->| dir B |->| dir C |
+ | pair 0 | | pair 0 | | pair 0 |
+ | | | | | |
+ '--------' '--------' '--------'
+
+| update root to no longer contain directory B
+v
+
+ .--------. .--------.
+ |root dir|------------->|root dir|-.
+ | pair 0 | | pair 1 | |
+.--| |--------------| |-'
+| '--------' '--------'
+| | |
+| v v
+| .--------. .--------. .--------.
+'->| dir A |->| dir B |->| dir C |
+ | pair 0 | | pair 0 | | pair 0 |
+ | | | | | |
+ '--------' '--------' '--------'
+
+| remove directory B from the linked-list
+v
+
+ .--------. .--------.
+ |root dir|->|root dir|-.
+ | pair 0 | | pair 1 | |
+.--| |--| |-'
+| '--------' '--------'
+| | |
+| v v
+| .--------. .--------.
+'->| dir A |->| dir C |
+ | pair 0 | | pair 0 |
+ | | | |
+ '--------' '--------'
+```
+
+Wait, wait, wait, wait, wait, that's not atomic at all! If power is lost after
+removing directory B from the root, directory B is still in the linked-list.
+We've just created a memory leak!
+
+And to be honest, I don't have a clever solution for this case. As a
+side-effect of using multiple pointers in the threaded tree, the littlefs
+can end up with orphan blocks that have no parents and should have been
+removed.
+
+To keep these orphan blocks from becoming a problem, the littlefs has a
+deorphan step that simply iterates through every directory in the linked-list
+and checks it against every directory entry in the filesystem to see if it
+has a parent. The deorphan step occurs on the first block allocation after
+boot, so orphans should never cause the littlefs to run out of storage
+prematurely.
+
+And for my final trick, moving a directory:
+```
+ .--------.
+ |root dir|-.
+ | pair 0 | |
+.--------| |-'
+| '--------'
+| .-' '-.
+| v v
+| .--------. .--------.
+'->| dir A |->| dir B |
+ | pair 0 | | pair 0 |
+ | | | |
+ '--------' '--------'
+
+| update directory B to point to directory A
+v
+
+ .--------.
+ |root dir|-.
+ | pair 0 | |
+.--------| |-'
+| '--------'
+| .-----' '-.
+| | v
+| | .--------.
+| | .->| dir B |
+| | | | pair 0 |
+| | | | |
+| | | '--------'
+| | .-------'
+| v v |
+| .--------. |
+'->| dir A |-'
+ | pair 0 |
+ | |
+ '--------'
+
+| update root to no longer contain directory A
+v
+ .--------.
+ |root dir|-.
+ | pair 0 | |
+.----| |-'
+| '--------'
+| |
+| v
+| .--------.
+| .->| dir B |
+| | | pair 0 |
+| '--| |-.
+| '--------' |
+| | |
+| v |
+| .--------. |
+'--->| dir A |-'
+ | pair 0 |
+ | |
+ '--------'
+```
+
+Note that once again we don't care about the ordering of directories in the
+linked-list, so we can simply leave directories in their old positions. This
+does make the diagrams a bit hard to draw, but the littlefs doesn't really
+care.
+
+It's also worth noting that once again we have an operation that isn't actually
+atomic. After we add directory A to directory B, we could lose power, leaving
+directory A as a part of both the root directory and directory B. However,
+there isn't anything inherent to the littlefs that prevents a directory from
+having multiple parents, so in this case, we just allow that to happen. Extra
+care is taken to only remove a directory from the linked-list if there are
+no parents left in the filesystem.
+
+## Wear awareness
+
+So now that we have all of the pieces of a filesystem, we can look at a more
+subtle attribute of embedded storage: The wear down of flash blocks.
+
+The first concern for the littlefs, is that prefectly valid blocks can suddenly
+become unusable. As a nice side-effect of using a COW data-structure for files,
+we can simply move on to a different block when a file write fails. All
+modifications to files are performed in copies, so we will only replace the
+old file when we are sure none of the new file has errors. Directories, on
+the other hand, need a different strategy.
+
+The solution to directory corruption in the littlefs relies on the redundant
+nature of the metadata pairs. If an error is detected during a write to one
+of the metadata pairs, we seek out a new block to take its place. Once we find
+a block without errors, we iterate through the directory tree, updating any
+references to the corrupted metadata pair to point to the new metadata block.
+Just like when we remove directories, we can lose power during this operation
+and end up with a desynchronized metadata pair in our filesystem. And just like
+when we remove directories, we leave the possibility of a desynchronized
+metadata pair up to the deorphan step to clean up.
+
+Here's what encountering a directory error may look like with all of
+the directories and directory pointers fully expanded:
+```
+ root dir
+ block 1 block 2
+ .---------.---------.
+ | rev: 1 | rev: 0 |--.
+ | | |-.|
+.------| | |-|'
+|.-----| | |-'
+|| '---------'---------'
+|| |||||'--------------------------------------------------.
+|| ||||'-----------------------------------------. |
+|| |||'-----------------------------. | |
+|| ||'--------------------. | | |
+|| |'-------. | | | |
+|| v v v v v v
+|| dir A dir B dir C
+|| block 3 block 4 block 5 block 6 block 7 block 8
+|| .---------.---------. .---------.---------. .---------.---------.
+|'->| rev: 1 | rev: 0 |->| rev: 1 | rev: 0 |->| rev: 1 | rev: 0 |
+'-->| | |->| | |->| | |
+ | | | | | | |
+ | | | | | | | | |
+ '---------'---------' '---------'---------' '---------'---------'
+
+| update directory B
+v
+
+ root dir
+ block 1 block 2
+ .---------.---------.
+ | rev: 1 | rev: 0 |--.
+ | | |-.|
+.------| | |-|'
+|.-----| | |-'
+|| '---------'---------'
+|| |||||'--------------------------------------------------.
+|| ||||'-----------------------------------------. |
+|| |||'-----------------------------. | |
+|| ||'--------------------. | | |
+|| |'-------. | | | |
+|| v v v v v v
+|| dir A dir B dir C
+|| block 3 block 4 block 5 block 6 block 7 block 8
+|| .---------.---------. .---------.---------. .---------.---------.
+|'->| rev: 1 | rev: 0 |->| rev: 1 | rev: 2 |->| rev: 1 | rev: 0 |
+'-->| | |->| | corrupt!|->| | |
+ | | | | | corrupt!| | | |
+ | | | | | corrupt!| | | |
+ '---------'---------' '---------'---------' '---------'---------'
+
+| oh no! corruption detected
+v allocate a replacement block
+
+ root dir
+ block 1 block 2
+ .---------.---------.
+ | rev: 1 | rev: 0 |--.
+ | | |-.|
+.------| | |-|'
+|.-----| | |-'
+|| '---------'---------'
+|| |||||'----------------------------------------------------.
+|| ||||'-------------------------------------------. |
+|| |||'-----------------------------. | |
+|| ||'--------------------. | | |
+|| |'-------. | | | |
+|| v v v v v v
+|| dir A dir B dir C
+|| block 3 block 4 block 5 block 6 block 7 block 8
+|| .---------.---------. .---------.---------. .---------.---------.
+|'->| rev: 1 | rev: 0 |->| rev: 1 | rev: 2 |--->| rev: 1 | rev: 0 |
+'-->| | |->| | corrupt!|--->| | |
+ | | | | | corrupt!| .->| | |
+ | | | | | corrupt!| | | | |
+ '---------'---------' '---------'---------' | '---------'---------'
+ block 9 |
+ .---------. |
+ | rev: 2 |-'
+ | |
+ | |
+ | |
+ '---------'
+
+| update root directory to contain block 9
+v
+
+ root dir
+ block 1 block 2
+ .---------.---------.
+ | rev: 1 | rev: 2 |--.
+ | | |-.|
+.-----| | |-|'
+|.----| | |-'
+|| '---------'---------'
+|| .--------'||||'----------------------------------------------.
+|| | |||'-------------------------------------. |
+|| | ||'-----------------------. | |
+|| | |'------------. | | |
+|| | | | | | |
+|| v v v v v v
+|| dir A dir B dir C
+|| block 3 block 4 block 5 block 9 block 7 block 8
+|| .---------.---------. .---------. .---------. .---------.---------.
+|'->| rev: 1 | rev: 0 |-->| rev: 1 |-| rev: 2 |--->| rev: 1 | rev: 0 |
+'-->| | |-. | | | |--->| | |
+ | | | | | | | | .->| | |
+ | | | | | | | | | | | |
+ '---------'---------' | '---------' '---------' | '---------'---------'
+ | block 6 |
+ | .---------. |
+ '------------>| rev: 2 |-'
+ | corrupt!|
+ | corrupt!|
+ | corrupt!|
+ '---------'
+
+| remove corrupted block from linked-list
+v
+
+ root dir
+ block 1 block 2
+ .---------.---------.
+ | rev: 1 | rev: 2 |--.
+ | | |-.|
+.-----| | |-|'
+|.----| | |-'
+|| '---------'---------'
+|| .--------'||||'-----------------------------------------.
+|| | |||'--------------------------------. |
+|| | ||'--------------------. | |
+|| | |'-----------. | | |
+|| | | | | | |
+|| v v v v v v
+|| dir A dir B dir C
+|| block 3 block 4 block 5 block 9 block 7 block 8
+|| .---------.---------. .---------.---------. .---------.---------.
+|'->| rev: 1 | rev: 2 |->| rev: 1 | rev: 2 |->| rev: 1 | rev: 0 |
+'-->| | |->| | |->| | |
+ | | | | | | | | |
+ | | | | | | | | |
+ '---------'---------' '---------'---------' '---------'---------'
+```
+
+Also one question I've been getting is, what about the root directory?
+It can't move so wouldn't the filesystem die as soon as the root blocks
+develop errors? And you would be correct. So instead of storing the root
+in the first few blocks of the storage, the root is actually pointed to
+by the superblock. The superblock contains a few bits of static data, but
+outside of when the filesystem is formatted, it is only updated when the root
+develops errors and needs to be moved.
+
+## Wear leveling
+
+The second concern for the littlefs, is that blocks in the filesystem may wear
+unevenly. In this situation, a filesystem may meet an early demise where
+there are no more non-corrupted blocks that aren't in use. It may be entirely
+possible that files were written once and left unmodified, wasting the
+potential erase cycles of the blocks it sits on.
+
+Wear leveling is a term that describes distributing block writes evenly to
+avoid the early termination of a flash part. There are typically two levels
+of wear leveling:
+1. Dynamic wear leveling - Blocks are distributed evenly during blocks writes.
+ Note that the issue with write-once files still exists in this case.
+2. Static wear leveling - Unmodified blocks are evicted for new block writes.
+ This provides the longest lifetime for a flash device.
+
+Now, it's possible to use the revision count on metadata pairs to approximate
+the wear of a metadata block. And combined with the COW nature of files, the
+littlefs could provide a form of dynamic wear leveling.
+
+However, the littlefs does not. This is for a few reasons. Most notably, even
+if the littlefs did implement dynamic wear leveling, this would still not
+handle the case of write-once files, and near the end of the lifetime of a
+flash device, you would likely end up with uneven wear on the blocks anyways.
+
+As a flash device reaches the end of its life, the metadata blocks will
+naturally be the first to go since they are updated most often. In this
+situation, the littlefs is designed to simply move on to another set of
+metadata blocks. This travelling means that at the end of a flash device's
+life, the filesystem will have worn the device down as evenly as a dynamic
+wear leveling filesystem could anyways. Simply put, if the lifetime of flash
+is a serious concern, static wear leveling is the only valid solution.
+
+This is a very important takeaway to note. If your storage stack uses highly
+sensitive storage such as NAND flash. In most cases you are going to be better
+off just using a [flash translation layer (FTL)](https://en.wikipedia.org/wiki/Flash_translation_layer).
+NAND flash already has many limitations that make it poorly suited for an
+embedded system: low erase cycles, very large blocks, errors that can develop
+even during reads, errors that can develop during writes of neighboring blocks.
+Managing sensitive storage such as NAND flash is out of scope for the littlefs.
+The littlefs does have some properties that may be beneficial on top of a FTL,
+such as limiting the number of writes where possible. But if you have the
+storage requirements that necessitate the need of NAND flash, you should have
+the RAM to match and just use an FTL or flash filesystem.
+
+## Summary
+
+So, to summarize:
+
+1. The littlefs is composed of directory blocks
+2. Each directory is a linked-list of metadata pairs
+3. These metadata pairs can be updated atomically by alternative which
+ metadata block is active
+4. Directory blocks contain either references to other directories or files
+5. Files are represented by copy-on-write CTZ linked-lists
+6. The CTZ linked-lists support appending in O(1) and reading in O(n logn)
+7. Blocks are allocated by scanning the filesystem for used blocks in a
+ fixed-size lookahead region is that stored in a bit-vector
+8. To facilitate scanning the filesystem, all directories are part of a
+ linked-list that is threaded through the entire filesystem
+9. If a block develops an error, the littlefs allocates a new block, and
+ moves the data and references of the old block to the new.
+10. Any case where an atomic operation is not possible, it is taken care of
+ by a deorphan step that occurs on the first allocation after boot
+
+Welp, that's the little filesystem. Thanks for reading!
+