Crate regex_automata

This crate exposes a variety of regex engines used by the regex crate. It provides a vast, sprawling and “expert” level API to each regex engine. The regex engines provided by this crate focus heavily on finite automata implementations and specifically guarantee worst case O(m * n) time complexity for all searches. (Where m ~ len(regex) and n ~ len(haystack).)

The primary goal of this crate is to serve as an implementation detail for the regex crate. A secondary goal is to make its internals available for use by others.

Table of contents

• Should I be using this crate? gives some reasons for and against using this crate.
• Examples provides a small selection of things you can do with this crate.
• Available regex engines provides a hyperlinked list of all regex engines in this crate.
• API themes discusses common elements used throughout this crate.
• Crate features documents the extensive list of Cargo features available.

Should I be using this crate?

If you find yourself here because you just want to use regexes, then you should first check out whether the regex crate meets your needs. It provides a streamlined and difficult-to-misuse API for regex searching.

If you’re here because there is something specific you want to do that can’t be easily done with regex crate, then you are perhaps in the right place. It’s most likely that the first stop you’ll want to make is to explore the meta regex APIs. Namely, the regex crate is just a light wrapper over a meta::Regex, so its API will probably be the easiest to transition to. In contrast to the regex crate, the meta::Regex API supports more search parameters and does multi-pattern searches. However, it isn’t quite as ergonomic.

Otherwise, the following is an inexhaustive list of reasons to use this crate:

• You want to analyze or use a Thompson NFA directly.
• You want more powerful multi-pattern search than what is provided by RegexSet in the regex crate. All regex engines in this crate support multi-pattern searches.
• You want to use one of the regex crate’s internal engines directly because of some interesting configuration that isn’t possible via the regex crate. For example, a lazy DFA’s configuration exposes a dizzying number of options for controlling its execution.
• You want to use the lower level search APIs. For example, both the lazy DFA and fully compiled DFAs support searching by exploring the automaton one state at a time. This might be useful, for example, for stream searches or searches of strings stored in non-contiguous in memory.
• You want to build a fully compiled DFA and then use zero-copy deserialization to load it into memory and use it for searching. This use case is supported in core-only no-std/no-alloc environments.
• You want to run anchored searches without using the ^ anchor in your regex pattern.
• You need to work-around contention issues with sharing a regex across multiple threads. The meta::Regex::search_with API permits bypassing any kind of synchronization at all by requiring the caller to provide the mutable scratch spaced needed during a search.
• You want to build your own regex engine on top of the regex crate’s infrastructure.

Examples

This section tries to identify a few interesting things you can do with this crate and demonstrates them.

Multi-pattern searches with capture groups

One of the more frustrating limitations of RegexSet in the regex crate (at the time of writing) is that it doesn’t report match positions. With this crate, multi-pattern support was intentionally designed in from the beginning, which means it works in all regex engines and even for capture groups as well.

This example shows how to search for matches of multiple regexes, where each regex uses the same capture group names to parse different key-value formats.

use regex_automata::{meta::Regex, PatternID};

let re = Regex::new_many(&[
    r#"(?m)^(?<key>[[:word:]]+)=(?<val>[[:word:]]+)$"#,
    r#"(?m)^(?<key>[[:word:]]+)="(?<val>[^"]+)"$"#,
    r#"(?m)^(?<key>[[:word:]]+)='(?<val>[^']+)'$"#,
    r#"(?m)^(?<key>[[:word:]]+):\s*(?<val>[[:word:]]+)$"#,
])?;
let hay = r#"
best_album="Blow Your Face Out"
best_quote='"then as it was, then again it will be"'
best_year=1973
best_simpsons_episode: HOMR
"#;
let mut kvs = vec![];
for caps in re.captures_iter(hay) {
    // N.B. One could use capture indices '1' and '2' here
    // as well. Capture indices are local to each pattern.
    // (Just like names are.)
    let key = &hay[caps.get_group_by_name("key").unwrap()];
    let val = &hay[caps.get_group_by_name("val").unwrap()];
    kvs.push((key, val));
}
assert_eq!(kvs, vec![
    ("best_album", "Blow Your Face Out"),
    ("best_quote", "\"then as it was, then again it will be\""),
    ("best_year", "1973"),
    ("best_simpsons_episode", "HOMR"),
]);

Build a full DFA and walk it manually

One of the regex engines in this crate is a fully compiled DFA. It takes worst case exponential time to build, but once built, it can be easily explored and used for searches. Here’s a simple example that uses its lower level APIs to implement a simple anchored search by hand.

use regex_automata::{dfa::{Automaton, dense}, Input};

let dfa = dense::DFA::new(r"(?-u)\b[A-Z]\w+z\b")?;
let haystack = "Quartz";

// The start state is determined by inspecting the position and the
// initial bytes of the haystack.
let mut state = dfa.start_state_forward(&Input::new(haystack))?;
// Walk all the bytes in the haystack.
for &b in haystack.as_bytes().iter() {
    state = dfa.next_state(state, b);
}
// DFAs in this crate require an explicit
// end-of-input transition if a search reaches
// the end of a haystack.
state = dfa.next_eoi_state(state);
assert!(dfa.is_match_state(state));

Or do the same with a lazy DFA that avoids exponential worst case compile time, but requires mutable scratch space to lazily build the DFA during the search.

use regex_automata::{hybrid::dfa::DFA, Input};

let dfa = DFA::new(r"(?-u)\b[A-Z]\w+z\b")?;
let mut cache = dfa.create_cache();
let hay = "Quartz";

// The start state is determined by inspecting the position and the
// initial bytes of the haystack.
let mut state = dfa.start_state_forward(&mut cache, &Input::new(hay))?;
// Walk all the bytes in the haystack.
for &b in hay.as_bytes().iter() {
    state = dfa.next_state(&mut cache, state, b)?;
}
// DFAs in this crate require an explicit
// end-of-input transition if a search reaches
// the end of a haystack.
state = dfa.next_eoi_state(&mut cache, state)?;
assert!(state.is_match());

Find all overlapping matches

This example shows how to build a DFA and use it to find all possible matches, including overlapping matches. A similar example will work with a lazy DFA as well. This also works with multiple patterns and will report all matches at the same position where multiple patterns match.

use regex_automata::{
    dfa::{dense, Automaton, OverlappingState},
    Input, MatchKind,
};

let dfa = dense::DFA::builder()
    .configure(dense::DFA::config().match_kind(MatchKind::All))
    .build(r"(?-u)\w{3,}")?;
let input = Input::new("homer marge bart lisa maggie");
let mut state = OverlappingState::start();

let mut matches = vec![];
while let Some(hm) = {
    dfa.try_search_overlapping_fwd(&input, &mut state)?;
    state.get_match()
} {
    matches.push(hm.offset());
}
assert_eq!(matches, vec![
    3, 4, 5,        // hom, home, homer
    9, 10, 11,      // mar, marg, marge
    15, 16,         // bar, bart
    20, 21,         // lis, lisa
    25, 26, 27, 28, // mag, magg, maggi, maggie
]);

Available regex engines

The following is a complete list of all regex engines provided by this crate, along with a very brief description of it and why you might want to use it.

• [dfa::regex::Regex] is a regex engine that works on top of either dense or sparse fully compiled DFAs. You might use a DFA if you need the fastest possible regex engine in this crate and can afford the exorbitant memory usage usually required by DFAs. Low level APIs on fully compiled DFAs are provided by the Automaton trait. Fully compiled dense DFAs can handle all regexes except for searching a regex with a Unicode word boundary on non-ASCII haystacks. A fully compiled DFA based regex can only report the start and end of each match.
• [hybrid::regex::Regex] is a regex engine that works on top of a lazily built DFA. Its performance profile is very similar to that of fully compiled DFAs, but can be slower in some pathological cases. Fully compiled DFAs are also amenable to more optimizations, such as state acceleration, that aren’t available in a lazy DFA. You might use this lazy DFA if you can’t abide the worst case exponential compile time of a full DFA, but still want the DFA search performance in the vast majority of cases. A lazy DFA based regex can only report the start and end of each match.
• [dfa::onepass::DFA] is a regex engine that is implemented as a DFA, but can report the matches of each capture group in addition to the start and end of each match. The catch is that it only works on a somewhat small subset of regexes known as “one-pass.” You’ll want to use this for cases when you need capture group matches and the regex is one-pass since it is likely to be faster than any alternative. A one-pass DFA can handle all types of regexes, but does have some reasonable limits on the number of capture groups it can handle.
• [nfa::thompson::backtrack::BoundedBacktracker] is a regex engine that uses backtracking, but keeps track of the work it has done to avoid catastrophic backtracking. Like the one-pass DFA, it provides the matches of each capture group. It retains the O(m * n) worst case time bound. This tends to be slower than the one-pass DFA regex engine, but faster than the PikeVM. It can handle all types of regexes, but usually only works well with small haystacks and small regexes due to the memory required to avoid redoing work.
• nfa::thompson::pikevm::PikeVM is a regex engine that can handle all regexes, of all sizes and provides capture group matches. It tends to be a tool of last resort because it is also usually the slowest regex engine.
• meta::Regex is the meta regex engine that combines all of the above engines into one. The reason for this is that each of the engines above have their own caveats such as, “only handles a subset of regexes” or “is generally slow.” The meta regex engine accounts for all of these caveats and composes the engines in a way that attempts to mitigate each engine’s weaknesses while emphasizing its strengths. For example, it will attempt to run a lazy DFA even if it might fail. In which case, it will restart the search with a likely slower but more capable regex engine. The meta regex engine is what you should default to. Use one of the above engines directly only if you have a specific reason to.

API themes

While each regex engine has its own APIs and configuration options, there are some general themes followed by all of them.

The Input abstraction

Most search routines in this crate accept anything that implements Into<Input>. Both &str and &[u8] haystacks satisfy this constraint, which means that things like engine.search("foo") will work as you would expect.

By virtue of accepting an Into<Input> though, callers can provide more than just a haystack. Indeed, the Input type has more details, but briefly, callers can use it to configure various aspects of the search:

• The span of the haystack to search via Input::span or Input::range, which might be a substring of the haystack.
• Whether to run an anchored search or not via Input::anchored. This permits one to require matches to start at the same offset that the search started.
• Whether to ask the regex engine to stop as soon as a match is seen via Input::earliest. This can be used to find the offset of a match as soon as it is known without waiting for the full leftmost-first match to be found. This can also be used to avoid the worst case O(m * n^2) time complexity of iteration.

Some lower level search routines accept an &Input for performance reasons. In which case, &Input::new("haystack") can be used for a simple search.

Error reporting

Most, but not all, regex engines in this crate can fail to execute a search. When a search fails, callers cannot determine whether or not a match exists. That is, the result is indeterminate.

Search failure, in all cases in this crate, is represented by a MatchError. Routines that can fail start with the try_ prefix in their name. For example, [hybrid::regex::Regex::try_search] can fail for a number of reasons. Conversely, routines that either can’t fail or can panic on failure lack the try_ prefix. For example, [hybrid::regex::Regex::find] will panic in cases where [hybrid::regex::Regex::try_search] would return an error, and meta::Regex::find will never panic. Therefore, callers need to pay close attention to the panicking conditions in the documentation.

In most cases, the reasons that a search fails are either predictable or configurable, albeit at some additional cost.

An example of predictable failure is BoundedBacktracker::try_search. Namely, it fails whenever the multiplication of the haystack, the regex and some constant exceeds the configured visited capacity. Callers can predict the failure in terms of haystack length via the BoundedBacktracker::max_haystack_len method. While this form of failure is technically avoidable by increasing the visited capacity, it isn’t practical to do so for all inputs because the memory usage required for larger haystacks becomes impractically large. So in practice, if one is using the bounded backtracker, you really do have to deal with the failure.

An example of configurable failure happens when one enables heuristic support for Unicode word boundaries in a DFA. Namely, since the DFAs in this crate (except for the one-pass DFA) do not support Unicode word boundaries on non-ASCII haystacks, building a DFA from an NFA that contains a Unicode word boundary will itself fail. However, one can configure DFAs to still be built in this case by configuring heuristic support for Unicode word boundaries. If the NFA the DFA is built from contains a Unicode word boundary, then the DFA will still be built, but special transitions will be added to every state that cause the DFA to fail if any non-ASCII byte is seen. This failure happens at search time and it requires the caller to opt into this.

There are other ways for regex engines to fail in this crate, but the above two should represent the general theme of failures one can find. Dealing with these failures is, in part, one the responsibilities of the meta regex engine. Notice, for example, that the meta regex engine exposes an API that never returns an error nor panics. It carefully manages all of the ways in which the regex engines can fail and either avoids the predictable ones entirely (e.g., the bounded backtracker) or reacts to configured failures by falling back to a different engine (e.g., the lazy DFA quitting because it saw a non-ASCII byte).

Configuration and Builders

Most of the regex engines in this crate come with two types to facilitate building the regex engine: a Config and a Builder. A Config is usually specific to that particular regex engine, but other objects such as parsing and NFA compilation have Config types too. A Builder is the thing responsible for taking inputs (either pattern strings or already-parsed patterns or even NFAs directly) and turning them into an actual regex engine that can be used for searching.

The main reason why building a regex engine is a bit complicated is because of the desire to permit composition with de-coupled components. For example, you might want to manually construct a Thompson NFA and then build a regex engine from it without ever using a regex parser at all. On the other hand, you might also want to build a regex engine directly from the concrete syntax. This demonstrates why regex engine construction is so flexible: it needs to support not just convenient construction, but also construction from parts built elsewhere.

This is also in turn why there are many different Config structs in this crate. Let’s look more closely at an example: [hybrid::regex::Builder]. It accepts three different Config types for configuring construction of a lazy DFA regex:

• [hybrid::regex::Builder::syntax] accepts a util::syntax::Config for configuring the options found in the regex-syntax crate. For example, whether to match case insensitively.
• [hybrid::regex::Builder::thompson] accepts a nfa::thompson::Config for configuring construction of a Thompson NFA. For example, whether to build an NFA that matches the reverse language described by the regex.
• [hybrid::regex::Builder::dfa] accept a [hybrid::dfa::Config] for configuring construction of the pair of underlying lazy DFAs that make up the lazy DFA regex engine. For example, changing the capacity of the cache used to store the transition table.

The lazy DFA regex engine uses all three of those configuration objects for methods like [hybrid::regex::Builder::build], which accepts a pattern string containing the concrete syntax of your regex. It uses the syntax configuration to parse it into an AST and translate it into an HIR. Then the NFA configuration when compiling the HIR into an NFA. And then finally the DFA configuration when lazily determinizing the NFA into a DFA.

Notice though that the builder also has a [hybrid::regex::Builder::build_from_dfas] constructor. This permits callers to build the underlying pair of lazy DFAs themselves (one for the forward searching to find the end of a match and one for the reverse searching to find the start of a match), and then build the regex engine from them. The lazy DFAs, in turn, have their own builder that permits construction directly from a Thompson NFA. Continuing down the rabbit hole, a Thompson NFA has its own compiler that permits construction directly from an HIR. The lazy DFA regex engine builder lets you follow this rabbit hole all the way down, but also provides convenience routines that do it for you when you don’t need precise control over every component.

The meta regex engine is a good example of something that utilizes the full flexibility of these builders. It often needs not only precise control over each component, but also shares them across multiple regex engines. (Most sharing is done by internal reference accounting. For example, an NFA is reference counted internally which makes cloning cheap.)

Size limits

Unlike the regex crate, the regex-automata crate specifically does not enable any size limits by default. That means users of this crate need to be quite careful when using untrusted patterns. Namely, because bounded repetitions can grow exponentially by stacking them, it is possible to build a very large internal regex object from just a small pattern string. For example, the NFA built from the pattern a{10}{10}{10}{10}{10}{10}{10} is over 240MB.

There are multiple size limit options in this crate. If one or more size limits are relevant for the object you’re building, they will be configurable via methods on a corresponding Config type.

Crate features

This crate has a dizzying number of features. The main idea is to be able to control how much stuff you pull in for your specific use case, since the full crate is quite large and can dramatically increase compile times and binary size.

The most barebones but useful configuration is to disable all default features and enable only dfa-search. This will bring in just the DFA deserialization and search routines without any dependency on std or alloc. This does require generating and serializing a DFA, and then storing it somewhere, but it permits regex searches in freestanding or embedded environments.

Because there are so many features, they are split into a few groups.

The default set of features is: std, syntax, perf, unicode, meta, nfa, dfa and hybrid. Basically, the default is to enable everything except for development related features like logging.

Ecosystem features

• std - Enables use of the standard library. In terms of APIs, this usually just means that error types implement the std::error::Error trait. Otherwise, std sometimes enables the code to be faster, for example, using a HashMap instead of a BTreeMap. (The std feature matters more for dependencies like aho-corasick and memchr, where std is required to enable certain classes of SIMD optimizations.) Enabling std automatically enables alloc.
• alloc - Enables use of the alloc library. This is required for most APIs in this crate. The main exception is deserializing and searching with fully compiled DFAs.
• logging - Adds a dependency on the log crate and makes this crate emit log messages of varying degrees of utility. The log messages are especially useful in trying to understand what the meta regex engine is doing.

Performance features

• perf - Enables all of the below features.
• perf-inline - When enabled, inline(always) is used in (many) strategic locations to help performance at the expense of longer compile times and increased binary size.
• perf-literal - Enables all literal related optimizations.
  • perf-literal-substring - Enables all single substring literal optimizations. This includes adding a dependency on the memchr crate.
  • perf-literal-multisubstring - Enables all multiple substring literal optimizations. This includes adding a dependency on the aho-corasick crate.

Unicode features

• unicode - Enables all Unicode features. This feature is enabled by default, and will always cover all Unicode features, even if more are added in the future.
• unicode-age - Provide the data for the Unicode Age property. This makes it possible to use classes like \p{Age:6.0} to refer to all codepoints first introduced in Unicode 6.0
• unicode-bool - Provide the data for numerous Unicode boolean properties. The full list is not included here, but contains properties like Alphabetic, Emoji, Lowercase, Math, Uppercase and White_Space.
• unicode-case - Provide the data for case insensitive matching using Unicode’s “simple loose matches” specification.
• unicode-gencat - Provide the data for Unicode general categories. This includes, but is not limited to, Decimal_Number, Letter, Math_Symbol, Number and Punctuation.
• unicode-perl - Provide the data for supporting the Unicode-aware Perl character classes, corresponding to \w, \s and \d. This is also necessary for using Unicode-aware word boundary assertions. Note that if this feature is disabled, the \s and \d character classes are still available if the unicode-bool and unicode-gencat features are enabled, respectively.
• unicode-script - Provide the data for Unicode scripts and script extensions. This includes, but is not limited to, Arabic, Cyrillic, Hebrew, Latin and Thai.
• unicode-segment - Provide the data necessary to provide the properties used to implement the Unicode text segmentation algorithms. This enables using classes like \p{gcb=Extend}, \p{wb=Katakana} and \p{sb=ATerm}.
• unicode-word-boundary - Enables support for Unicode word boundaries, i.e., \b, in regexes. When this and unicode-perl are enabled, then data tables from regex-syntax are used to implement Unicode word boundaries. However, if regex-syntax isn’t enabled as a dependency then one can still enable this feature. It will cause regex-automata to bundle its own data table that would otherwise be redundant with regex-syntax’s table.

Regex engine features

• syntax - Enables a dependency on regex-syntax. This makes APIs for building regex engines from pattern strings available. Without the regex-syntax dependency, the only way to build a regex engine is generally to deserialize a previously built DFA or to hand assemble an NFA using its builder API. Once you have an NFA, you can build any of the regex engines in this crate. The syntax feature also enables alloc.
• meta - Enables the meta regex engine. This also enables the syntax and nfa-pikevm features, as both are the minimal requirements needed. The meta regex engine benefits from enabling any of the other regex engines and will use them automatically when appropriate.
• nfa - Enables all NFA related features below.
  • nfa-thompson - Enables the Thompson NFA APIs. This enables alloc.
  • nfa-pikevm - Enables the PikeVM regex engine. This enables nfa-thompson.
  • nfa-backtrack - Enables the bounded backtracker regex engine. This enables nfa-thompson.
• dfa - Enables all DFA related features below.
  • dfa-build - Enables APIs for determinizing DFAs from NFAs. This enables nfa-thompson and dfa-search.
  • dfa-search - Enables APIs for searching with DFAs.
  • dfa-onepass - Enables the one-pass DFA API. This enables nfa-thompson.
• hybrid - Enables the hybrid NFA/DFA or “lazy DFA” regex engine. This enables alloc and nfa-thompson.

Modules

• metameta
  Provides a regex matcher that composes several other regex matchers automatically.
• nfanfa-thompson
  Provides non-deterministic finite automata (NFA) and regex engines that use them.
• util
  A collection of modules that provide APIs that are useful across many regex engines.

Structs

• HalfMatch
  A representation of “half” of a match reported by a DFA.
• Input
  The parameters for a regex search including the haystack to search.
• Match
  A representation of a match reported by a regex engine.
• MatchError
  An error indicating that a search stopped before reporting whether a match exists or not.
• PatternID
  The identifier of a regex pattern, represented by a SmallIndex.
• PatternSetalloc
  A set of PatternIDs.
• PatternSetInsertErroralloc
  An error that occurs when a PatternID failed to insert into a PatternSet.
• PatternSetIteralloc
  An iterator over all pattern identifiers in a PatternSet.
• Span
  A representation of a span reported by a regex engine.

Enums

• Anchored
  The type of anchored search to perform.
• MatchErrorKind
  The underlying kind of a MatchError.
• MatchKind
  The kind of match semantics to use for a regex pattern.