From a3281a0ae0b0eb48e3aa84251c998b16c26ee492 Mon Sep 17 00:00:00 2001 From: Fran Date: Sun, 17 Sep 2023 16:32:52 +0200 Subject: [PATCH] Readme --- README.md | 65 ++++++++++++++++++++++++++++++++++++-- readme_imgs/skip-list.png | Bin 0 -> 107985 bytes 2 files changed, 62 insertions(+), 3 deletions(-) create mode 100644 readme_imgs/skip-list.png diff --git a/README.md b/README.md index 49a054e..d5cc310 100644 --- a/README.md +++ b/README.md @@ -2,6 +2,15 @@ An implementation of the Log-Structured Merge Tree (LSM tree) data structure in Java. +**Table of Contents** + +1. [Sorted String Table](#SSTable) +2. [Skip-List](#Skip-List) +3. [Benchmarks](#Benchmarks) +4. [Implementation status](#Implementation-status) + +--- + ## SSTable Sorted String Table (SSTable) is a collection of files modelling key-value pairs in sorted order by key. @@ -58,6 +67,34 @@ and offsets in the index are stored as [deltas](https://en.wikipedia.org/wiki/De --- +## Skip-List + +A [skip-list](https://en.wikipedia.org/wiki/Skip_list) is a probabilistic data structure that allows fast search, +insertion and deletion of elements in a sorted sequence. + +In the LSM tree, it is used as an in-memory data structure to store key-value pairs in sorted order by key. +Once the skip-list reaches a certain size, it is flushed to disk as an SSTable. + +### Operations details + +The idea of a skip list is similar to a classic linked list. We have nodes with forward pointers, but also levels. We +can think about a +level as a fast lane between nodes. By carefully constructing them at insertion time, searches are faster, as they can +use higher levels to skip unwanted nodes. + +Given `n` elements, a skip list has `log(n)` levels, the first level containing all the elements. +By increasing the level, the number of elements is cut roughly by half. + +![readme_imgs/skip-list.png](readme_imgs/skip-list.png) + +To locate an element, we start from the top level and move forward until we find an element greater than the one +we are looking for. Then we move down to the next level and repeat the process until we find the element. + +Insertions, deletions, and updates are done by first locating the element, then performing +the operation on the node. All of them have a time complexity of `O(log(n))`. + +--- + ## Benchmarks I am using [JMH](https://openjdk.java.net/projects/code-tools/jmh/) to run benchmarks, @@ -69,9 +106,31 @@ the results are obtained on a MacBook Pro (16-inch, 2021) with an M1 Pro process - Random access: the key is present in the table, the order of the keys is random. ``` -Benchmark Mode Cnt Score Error Units -SSTableBenchmark.negativeAccess thrpt 10 3681095.460 ± 38052.449 ops/s -SSTableBenchmark.randomAccess thrpt 10 57254.444 ± 401.035 ops/s +Benchmark Mode Cnt Score Error Units +c.t.l.sstable.SSTableBenchmark.negativeAccess thrpt 10 3541989.316 ± 78933.780 ops/s +c.t.l.sstable.SSTableBenchmark.randomAccess thrpt 10 56157.613 ± 264.314 ops/s +``` + +### Bloom filter + +- Add: add keys to a 1M keys Bloom filter with 0.01 false positive rate; +- Contains: test whether the keys are present in the Bloom filter. + +``` +Benchmark Mode Cnt Score Error Units +c.t.l.bloom.BloomFilterBenchmark.add thrpt 10 9777191.526 ± 168208.916 ops/s +c.t.l.bloom.BloomFilterBenchmark.contains thrpt 10 10724196.205 ± 20411.741 ops/s +``` + +### Skip-List + +- Get: get keys from a 100k keys skip-list; +- Add/Remove: add and remove keys from a 100k keys skip-list. + +``` +Benchmark Mode Cnt Score Error Units +c.t.l.memtable.SkipListBenchmark.addRemove thrpt 10 684885.546 ± 21793.787 ops/s +c.t.l.memtable.SkipListBenchmark.get thrpt 10 823423.128 ± 83028.354 ops/s ``` --- diff --git a/readme_imgs/skip-list.png b/readme_imgs/skip-list.png new file mode 100644 index 0000000000000000000000000000000000000000..dace5d1de600df6bfa785730f43d56140e1e916e GIT binary patch literal 107985 zcmdqJ`9GBV|39u$v}sW(gi6Daecz>0_AS|W8p~LcrR<_|N+^@eSj(DyCuC`1l4Y{a z*ejti!&DeC;q$mUulJwu{pIU+Zs(jb*L6Lw=kj>mANTwHF%OIluk7E$y@!Q`WxtO0 zB~uobT^JUYZ655q;BWkEd4IrvSp6^Pn6bl87`yAg@aGc&T9yG0Q!zrb@-4t@}Y}2uR8^J`1%N#d3axExfo@Spj1Mfs0yK&HgMrTwq}lV9~jxX?8oEHeuz@GZMb~(;=s6+l>Ojq-^bn 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