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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Defines a Thompson NFA and provides the `PikeVM` and `BoundedBacktracker` regex engines."><title>regex_automata::nfa::thompson - Rust</title><script>if(window.location.protocol!=="file:")document.head.insertAdjacentHTML("beforeend","SourceSerif4-Regular-6b053e98.ttf.woff2,FiraSans-Italic-81dc35de.woff2,FiraSans-Regular-0fe48ade.woff2,FiraSans-MediumItalic-ccf7e434.woff2,FiraSans-Medium-e1aa3f0a.woff2,SourceCodePro-Regular-8badfe75.ttf.woff2,SourceCodePro-Semibold-aa29a496.ttf.woff2".split(",").map(f=>`<link rel="preload" as="font" type="font/woff2"href="../../../static.files/${f}">`).join(""))</script><link rel="stylesheet" href="../../../static.files/normalize-9960930a.css"><link rel="stylesheet" href="../../../static.files/rustdoc-ca0dd0c4.css"><meta name="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="regex_automata" data-themes="" data-resource-suffix="" data-rustdoc-version="1.93.1 (01f6ddf75 2026-02-11) (Arch Linux rust 1:1.93.1-1)" data-channel="1.93.1" data-search-js="search-9e2438ea.js" data-stringdex-js="stringdex-a3946164.js" data-settings-js="settings-c38705f0.js" ><script src="../../../static.files/storage-e2aeef58.js"></script><script defer src="../sidebar-items.js"></script><script defer src="../../../static.files/main-a410ff4d.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-263c88ec.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-eab170b8.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-044be391.svg"></head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><rustdoc-topbar><h2><a href="#">Module thompson</a></h2></rustdoc-topbar><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../regex_automata/index.html">regex_<wbr>automata</a><span class="version">0.4.14</span></h2></div><div class="sidebar-elems"><section id="rustdoc-toc"><h2 class="location"><a href="#">Module thompson</a></h2><h3><a href="#">Sections</a></h3><ul class="block top-toc"><li><a href="#details" title="Details">Details</a></li></ul><h3><a href="#modules">Module Items</a></h3><ul class="block"><li><a href="#modules" title="Modules">Modules</a></li><li><a href="#structs" title="Structs">Structs</a></li><li><a href="#enums" title="Enums">Enums</a></li></ul></section><div id="rustdoc-modnav"><h2><a href="../index.html">In regex_<wbr>automata::<wbr>nfa</a></h2></div></div></nav><div class="sidebar-resizer" title="Drag to resize sidebar"></div><main><div class="width-limiter"><section id="main-content" class="content"><div class="main-heading"><div class="rustdoc-breadcrumbs"><a href="../../index.html">regex_automata</a>::<wbr><a href="../index.html">nfa</a></div><h1>Module <span>thompson</span>&nbsp;<button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><rustdoc-toolbar></rustdoc-toolbar><span class="sub-heading"><a class="src" href="../../../src/regex_automata/nfa/thompson/mod.rs.html#1-81">Source</a> </span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Defines a Thompson NFA and provides the <a href="pikevm/struct.PikeVM.html" title="struct regex_automata::nfa::thompson::pikevm::PikeVM"><code>PikeVM</code></a> and
<a href="backtrack/struct.BoundedBacktracker.html" title="struct regex_automata::nfa::thompson::backtrack::BoundedBacktracker"><code>BoundedBacktracker</code></a> regex engines.</p>
<p>A Thompson NFA (non-deterministic finite automaton) is arguably <em>the</em> central
data type in this library. It is the result of what is commonly referred to as
“regex compilation.” That is, turning a regex pattern from its concrete syntax
string into something that can run a search looks roughly like this:</p>
<ul>
<li>A <code>&amp;str</code> is parsed into a <a href="../../../regex_syntax/ast/enum.Ast.html" title="enum regex_syntax::ast::Ast"><code>regex-syntax::ast::Ast</code></a>.</li>
<li>An <code>Ast</code> is translated into a <a href="../../../regex_syntax/hir/struct.Hir.html" title="struct regex_syntax::hir::Hir"><code>regex-syntax::hir::Hir</code></a>.</li>
<li>An <code>Hir</code> is compiled into a <a href="struct.NFA.html" title="struct regex_automata::nfa::thompson::NFA"><code>NFA</code></a>.</li>
<li>The <code>NFA</code> is then used to build one of a few different regex engines:
<ul>
<li>An <code>NFA</code> is used directly in the <code>PikeVM</code> and <code>BoundedBacktracker</code> engines.</li>
<li>An <code>NFA</code> is used by a <a href="../../hybrid/index.html" title="mod regex_automata::hybrid">hybrid NFA/DFA</a> to build out a DFAs
transition table at search time.</li>
<li>An <code>NFA</code>, assuming it is one-pass, is used to build a full
<a href="../../dfa/onepass/index.html" title="mod regex_automata::dfa::onepass">one-pass DFA</a> ahead of time.</li>
<li>An <code>NFA</code> is used to build a <a href="../../dfa/index.html" title="mod regex_automata::dfa">full DFA</a> ahead of time.</li>
</ul>
</li>
</ul>
<p>The <a href="../../meta/index.html" title="mod regex_automata::meta"><code>meta</code></a> regex engine makes all of these choices for you based
on various criteria. However, if you have a lower level use case, <em>you</em> can
build any of the above regex engines and use them directly. But you must start
here by building an <code>NFA</code>.</p>
<h2 id="details"><a class="doc-anchor" href="#details">§</a>Details</h2>
<p>It is perhaps worth expanding a bit more on what it means to go through the
<code>&amp;str</code>-&gt;<code>Ast</code>-&gt;<code>Hir</code>-&gt;<code>NFA</code> process.</p>
<ul>
<li>Parsing a string into an <code>Ast</code> gives it a structured representation.
Crucially, the size and amount of work done in this step is proportional to the
size of the original string. No optimization or Unicode handling is done at
this point. This means that parsing into an <code>Ast</code> has very predictable costs.
Moreover, an <code>Ast</code> can be round-tripped back to its original pattern string as
written.</li>
<li>Translating an <code>Ast</code> into an <code>Hir</code> is a process by which the structured
representation is simplified down to its most fundamental components.
Translation deals with flags such as case insensitivity by converting things
like <code>(?i:a)</code> to <code>[Aa]</code>. Translation is also where Unicode tables are consulted
to resolve things like <code>\p{Emoji}</code> and <code>\p{Greek}</code>. It also flattens each
character class, regardless of how deeply nested it is, into a single sequence
of non-overlapping ranges. All the various literal forms are thrown out in
favor of one common representation. Overall, the <code>Hir</code> is small enough to fit
into your head and makes analysis and other tasks much simpler.</li>
<li>Compiling an <code>Hir</code> into an <code>NFA</code> formulates the regex into a finite state
machine whose transitions are defined over bytes. For example, an <code>Hir</code> might
have a Unicode character class corresponding to a sequence of ranges defined
in terms of <code>char</code>. Compilation is then responsible for turning those ranges
into a UTF-8 automaton. That is, an automaton that matches the UTF-8 encoding
of just the codepoints specified by those ranges. Otherwise, the main job of
an <code>NFA</code> is to serve as a byte-code of sorts for a virtual machine. It can be
seen as a sequence of instructions for how to match a regex.</li>
</ul>
</div></details><h2 id="modules" class="section-header">Modules<a href="#modules" class="anchor">§</a></h2><dl class="item-table"><dt><a class="mod" href="backtrack/index.html" title="mod regex_automata::nfa::thompson::backtrack">backtrack</a></dt><dd>An NFA backed bounded backtracker for executing regex searches with capturing
groups.</dd><dt><a class="mod" href="pikevm/index.html" title="mod regex_automata::nfa::thompson::pikevm">pikevm</a></dt><dd>An NFA backed Pike VM for executing regex searches with capturing groups.</dd></dl><h2 id="structs" class="section-header">Structs<a href="#structs" class="anchor">§</a></h2><dl class="item-table"><dt><a class="struct" href="struct.BuildError.html" title="struct regex_automata::nfa::thompson::BuildError">Build<wbr>Error</a></dt><dd>An error that can occurred during the construction of a thompson NFA.</dd><dt><a class="struct" href="struct.Builder.html" title="struct regex_automata::nfa::thompson::Builder">Builder</a></dt><dd>An abstraction for building Thompson NFAs by hand.</dd><dt><a class="struct" href="struct.Compiler.html" title="struct regex_automata::nfa::thompson::Compiler">Compiler</a></dt><dd>A builder for compiling an NFA from a regexs high-level intermediate
representation (HIR).</dd><dt><a class="struct" href="struct.Config.html" title="struct regex_automata::nfa::thompson::Config">Config</a></dt><dd>The configuration used for a Thompson NFA compiler.</dd><dt><a class="struct" href="struct.DenseTransitions.html" title="struct regex_automata::nfa::thompson::DenseTransitions">Dense<wbr>Transitions</a></dt><dd>A sequence of transitions used to represent a dense state.</dd><dt><a class="struct" href="struct.NFA.html" title="struct regex_automata::nfa::thompson::NFA">NFA</a></dt><dd>A byte oriented Thompson non-deterministic finite automaton (NFA).</dd><dt><a class="struct" href="struct.PatternIter.html" title="struct regex_automata::nfa::thompson::PatternIter">Pattern<wbr>Iter</a></dt><dd>An iterator over all pattern IDs in an NFA.</dd><dt><a class="struct" href="struct.SparseTransitions.html" title="struct regex_automata::nfa::thompson::SparseTransitions">Sparse<wbr>Transitions</a></dt><dd>A sequence of transitions used to represent a sparse state.</dd><dt><a class="struct" href="struct.Transition.html" title="struct regex_automata::nfa::thompson::Transition">Transition</a></dt><dd>A single transition to another state.</dd></dl><h2 id="enums" class="section-header">Enums<a href="#enums" class="anchor">§</a></h2><dl class="item-table"><dt><a class="enum" href="enum.State.html" title="enum regex_automata::nfa::thompson::State">State</a></dt><dd>A state in an NFA.</dd><dt><a class="enum" href="enum.WhichCaptures.html" title="enum regex_automata::nfa::thompson::WhichCaptures">Which<wbr>Captures</a></dt><dd>A configuration indicating which kinds of
<a href="enum.State.html#variant.Capture" title="variant regex_automata::nfa::thompson::State::Capture"><code>State::Capture</code></a> states to include.</dd></dl></section></div></main></body></html>