A bit more README / background info
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README.md
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# Fractal B-Tree Storage
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This Erlang-based storage engine provides a scalable alternative to Basho Bitcask and Google's LevelDB with similar properties
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- Very fast writes and deletes,
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- Reasonably fast reads (N records are stored in log<sub>2</sub>(N) B-trees, each with a fan-out of 32),
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- Operations-friendly "append-only" storage (allows you to backup live system)
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- The cost of merging (evicting stale key/values) is amortized into insertion, so you don't need to schedule merge to happen at off-peak hours.
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- Supports range queries (and thus potentially Riak 2i.)
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- Keys are not kept in memory (unlike Bitcask.)
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- 100% pure Erlang code
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Once we're a bit more stable, we'll provide a Riak backend.
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## How It Works
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If there are N records, there are in log<sub>2</sub>(N) levels (each an individual B-tree in a file). Level #0 has 1 record, level #1 has 2 records, #2 has 4 records, #3 has 8 records, #5 has 16 records, and so on. I.e. level #n has 2<sup>n</sup> records.
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In "stable state", each level is either full or empty; so if there are e.g. 20 records stored, then levels #5 and #2 are full; the other ones are empty.
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You can read more about Fractal Trees at [Tokutek](http://www.tokutek.com/2011/11/how-fractal-trees-work-at-mit-today/), a company providing a MySQL backend based on Fractal Trees.
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### Lookup
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Lookup is quite simple: starting at level #0, the sought for Key is searched in the B-tree there. If nothing is found, search continues to the next level. So if there are *N* levels, then *N* disk-based B-tree lookups are performed. Each lookup is "guarded" by a bloom filter to improve the likelihood that disk-based searches are only done when likely to succeed.
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### Insertion
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Insertion works by a mechanism known as B-tree injection. Insertion always starts by constructing a fresh B-tree with 1 element in it, and "injecting" that B-tree into level #0. So you always inject a B-tree of the same size as the size of the level you're injecting it into.
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- If the level being injected into empty, then the injected B-tree becomes the contents for that level.
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- Otherwise, the contained and the injected B-trees are *merged* to form a new temporary B-tree (of double size), which is then injected into the next level.
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### Overwrite and Delete
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Overwrite is done by simply doing a new insertion. Since search always starts from the top (level #0 ... level#*n*), newer values will be at a lower level, and thus be found before older values. When merging, values stored in the injected tree (that come from a lower-numbered level) have priority over the contained tree.
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Deletes are the same: they are also done by inserting a tombstone (a special value outside the domain of values). When a tombstone is merged at the currently highest numbered level it will be discarded. So tombstones have to bubble "down" to the highest numbered level before it can be removed.
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## Merge Logic
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The really clever thing about this storage engine is that merging is guaranteed to be able to "keep up" with insertion. Bitcask for instance has a similar merging phase, but it is separated from insertion. This means that there can suddenly be a lot of catching up to do. The flip side is that you can then decide to do all merging at off-peak hours, but it is yet another thing that need to be configured.
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With Fractal B-Trees; back-pressure is provided by the injection mechanism, which only returns when an injection is complete. Thus, every 2nd insert needs to wait for level #0 to finish the required merging; which - assuming merging has linear I/O complexity - is enough to guarantee that the merge mechanism can keep up at higher-numbered levels.
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OK, I've told you a lie. In practice, it is not practical to create a new file for each insert (injection at level #0), so we allows you to define the "top level" to be a number higher that #0; currently defaulting to #6 (32 records). That means that you take the amortization "hit" for ever 32 inserts.
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Trouble is that merging does in fact not have completely linear I/O complexity, because reading from a small file that was recently written is faster that reading from a file that was written a long time ago (because of OS-level caching); thus doing a merge at level #*N+1* often is more than twice as slow as doing a merge at level #*N*. Because of this, sustained insert pressure may produce a situation where the system blocks while merging, though it does require an extremely high level of inserts. We're considering ways to alleviate this.
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Merging can be going on concurrently at each level (in preparation for an injection to the next level), which lets you utilize available multi-core capacity to merge.
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