From 511f49bddb756b207771df941386bcb561425778 Mon Sep 17 00:00:00 2001 From: Francesco Date: Sat, 3 Feb 2024 18:09:53 +0100 Subject: [PATCH] Updated readme --- .github/workflows/rust.yml | 2 +- README.md | 96 ++++++++++++++++++++++++++++++++++-- misc/web-d.png | Bin 0 -> 400031 bytes misc/web-l.png | Bin 0 -> 400876 bytes misc/web.png | Bin 137746 -> 0 bytes server/templates/index.html | 6 +-- server/templates/query.html | 2 +- 7 files changed, 96 insertions(+), 10 deletions(-) create mode 100644 misc/web-d.png create mode 100644 misc/web-l.png delete mode 100644 misc/web.png diff --git a/.github/workflows/rust.yml b/.github/workflows/rust.yml index b1a8444..ee5f38e 100644 --- a/.github/workflows/rust.yml +++ b/.github/workflows/rust.yml @@ -1,4 +1,4 @@ -name: Rust +name: CI (main) on: push: diff --git a/README.md b/README.md index 333c87c..d103a77 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,94 @@ -# Search Rust's Crab +![web-l.png](misc/web-l.png#gh-light-mode-only) +![web-d.png](misc/web-d.png#gh-dark-mode-only) + +# Search-rs +An on-disk Search Engine with boolean and free text queries and spelling correction. + +[![CI (main)](https://github.com/tomfran/search-rs/actions/workflows/rust.yml/badge.svg)](https://github.com/tomfran/search-rs/actions/workflows/rust.yml) + +**Table of contents** +- [Architecture](#architecture) + - [Inverted index](#inverted-index) + - [Vocabulary and Documents](#vocabulary-and-documents) + - [Query processing](#query-processing) +- [Commands](#commands) +- [References](#references) + + +## Architecture + +Here is an high level overview of the project architecture, you can +find a more detailed presentation in the following [Medium article](https://medium.com/itnext/building-a-search-engine-in-rust-c945b6e638f8). + +### Inverted index + +The backbone of the engine is an inverted index. The main +idea is to have, for each word appearing in the documents, a list +of document IDs. +This allows us to quickly find documents containing a given word. + +More specifically, for each term we save a postings list as follows: +$$\text{n}\\;|\\;(\text{id}_i, f_i, [p_0, \dots, p_m]), \dots$$ + +Where $n$ is the number of documents the term appears in, id is the +doc id, $f$ is the frequency, and $p_j$ are the positions where +the term appears in the document $i$. + +We also store offsets for each term, allowing us to jump to the beginning of the postings list for a given term. They are stored in a separate file. +$$\text{n}\\;|\\;o_0, \dots, o_n$$ + +Delta encoding is used to represent document IDs, as they are strictly increasing, the same goes for the term positions and offsets. All those integers are written with [Gamma coding](https://en.wikipedia.org/wiki/Elias_gamma_coding). +Generic integers, such as list lengths are written in [VByte encoding](https://nlp.stanford.edu/IR-book/html/htmledition/variable-byte-codes-1.html#:~:text=Variable%20byte%20(VB)%20encoding%20uses,gap%20and%20to%200%20otherwise.). + +### Vocabulary and Documents + +The vocabulary is written on disk using prefix compression. +The idea is to sort terms and then write them as "matching prefix length", and suffix. + +Here is an example with three words: +$$\text{watermelon}\\;\text{waterfall}\\;\text{waterfront}$$ +$$0\\;\text{watermelon}\\;5\\;\text{fall}\\;6\\;\text{ront}$$ + +Spelling correction is used before answering queries. Given a +word $w$, we use a trigram index to find terms in the vocabulary +which shares at least a trigram with it. +We then select the one with the lowest [Levenshtein Distance](https://en.wikipedia.org/wiki/Levenshtein_distance) and max frequency. + +$$ +\text{lev}(a, b) = \begin{cases} + |a| & \text{if}\\;|b| = 0, \\ + |b| & \text{if}\\;|a| = 0, \\ + 1 + \text{min} \begin{cases} + \text{lev}(\text{tail}(a), b) \\ + \text{lev}(a, \text{tail}(b)) \\ + \text{lev}(\text{tail}(a), \text{tail}(b)) \\ + \end{cases} & \text{otherwise} \\ +\end{cases} +$$ + +Finally, document paths and lenghts are stored with a similar format. +$$\text{n}\\;|\\;p_0, l_0, \dots, p_n, l_n$$ + +### Query processing + +You can query the index with boolean or free test queries. In the first case you can use the usual boolean operators to compose a query, such as: +$$\text{gun}\\;\text{AND}\\;\text{control}$$ + +In the second case, you just enter a phrase and receive a ranked collection of documents matching the query, ordered by [BM25 score](https://en.wikipedia.org/wiki/Okapi_BM25). + +$$\text{BM25}(D, Q) = \sum_{i = 1}^{n} \\; \text{IDF}(q_i) \cdot \frac{f(q_i, D) \cdot (k_1 + 1)}{f(q_i, D) + k_1 \cdot \Big (1 - b + b \cdot \frac{|D|}{\text{avgdl}} \Big )}$$ + +$$\text{IDF}(q_i) = \ln \Bigg ( \frac{N - n(q_i) + 0.5}{n(q_i) + 0.5} + 1 \Bigg )$$ + +A window score is also computed, as the cardinality of +the user query, divided by the minimum size windows where all query terms appears in a document, or plus infinity if they don't appear all togheter. + +$$\text{window}(D, Q) = \frac{|Q|}{\text{min. window}(Q, D)}$$ + +Finally they are combined with the following formula: + +$$\text{score}(D, Q) = \alpha \cdot \text{window}(D, Q) + \beta \cdot \text{BM25}(D, Q)$$ -Search engine written in Rust, based on an inverted index on disk. ## Commands @@ -38,12 +126,10 @@ make web folder=path/to/folder You can then visit `http://0.0.0.0:3000` to find a web interface to enter free text and boolean queries. -![web.png](misc%2Fweb.png) **Query Syntax** -You can perform Google-like free test queries, results will -be ranked via [BM25](https://en.wikipedia.org/wiki/Okapi_BM25) scoring. +You can perform Google-like free test queries. You can also specify boolean queries with `"b: "` prefix such as: ``` diff --git a/misc/web-d.png b/misc/web-d.png new file mode 100644 index 0000000000000000000000000000000000000000..817436568ba66761228dbdf0e6a8ef0bc133c1c4 GIT binary patch literal 400031 zcmeEucT`i`wl|`nf`Cewst8CIkzN%Q1S!&ckSaCOYlw&-QdOi^rPt6qM5IX#y#)w@ z^xhI6Bz!yP-h1vF-+S+RzCXV)4r9cu?CibQUUSXzo4+~ZdrfsE3bGqyL_|asPn92O z5fPDB6A_V`T_OdJ^wXKd5)oZduv1jje5$C(uIUQ4v2(O0B2s=ItAEizyNfQ(_|pf4 zm**~Iy`8;qjptm}+kuDMm&6`kXaCG_{y}>bKW{Ca&ZBQ3C1H0A&XsX^(zVahlaqDV z8P{9gqQb<0+ZC)%4 zwe zLeY2I7;pQCTXa(iTsFeAr;2yga}>Pi&?ikwwwRP5Da~)zBS-qrp8F@`IdOQ zrzey=Zv3Ldf~(bWYn^%g@k5)_50vs={u2Wx-u`Dq$J1r3&3EPWzU)8vyiCu*7Owqh z@;MoF`g1zV?M1blp8b8%x)JTvdvk9-uP@krZOoJKN%MZd#eG{PjjEaW?K!%gi|*`! z0<_Oa5)}pp$44&0e#r*DKHtX9vJ=?!hVjP7JL}iJTk_u_f^9u;Y_20co zonwAm@!G1rVpkm>6YC6=xzMl+_&oAIlg;5r2mPg zdGO^Zm%sG^{RoxL$gRUpqq#WEVG>MhQ-+jIhsP_3d9-w^#Ixy(Pdo$pRX^5L@*bpD zo{0sqZH0V~-cWwh#qp!rYCT=4V5*@0N};j?&JyygE{AeFS#)~e&3}w)bh*WC1(7yk 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@@ -82,7 +82,7 @@

Index on {{index_path}}

@@ -94,7 +94,7 @@

Index on {{index_path}}

diff --git a/server/templates/query.html b/server/templates/query.html index 3874da4..0673fe4 100644 --- a/server/templates/query.html +++ b/server/templates/query.html @@ -24,7 +24,7 @@

+ class="toggle-container hover:cursor-pointer bg-zinc-100 dark:bg-zinc-800 hover:bg-zinc-200 hover:dark:bg-zinc-700 p-6 rounded-md mb-6">

{{ doc.path }}

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