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+/*!
+Provides a noncontiguous NFA implementation of Aho-Corasick.
+
+This is a low-level API that generally only needs to be used in niche
+circumstances. When possible, prefer using [`AhoCorasick`](crate::AhoCorasick)
+instead of a noncontiguous NFA directly. Using an `NFA` directly is typically
+only necessary when one needs access to the [`Automaton`] trait implementation.
+*/
+
+use alloc::{
+ collections::{BTreeSet, VecDeque},
+ vec,
+ vec::Vec,
+};
+
+use crate::{
+ automaton::Automaton,
+ util::{
+ alphabet::{ByteClassSet, ByteClasses},
+ error::{BuildError, MatchError},
+ prefilter::{self, opposite_ascii_case, Prefilter},
+ primitives::{IteratorIndexExt, PatternID, SmallIndex, StateID},
+ remapper::Remapper,
+ search::{Anchored, MatchKind},
+ special::Special,
+ },
+};
+
+/// A noncontiguous NFA implementation of Aho-Corasick.
+///
+/// When possible, prefer using [`AhoCorasick`](crate::AhoCorasick) instead of
+/// this type directly. Using an `NFA` directly is typically only necessary
+/// when one needs access to the [`Automaton`] trait implementation.
+///
+/// This NFA represents the "core" implementation of Aho-Corasick in this
+/// crate. Namely, constructing this NFA involving building a trie and then
+/// filling in the failure transitions between states, similar to what is
+/// described in any standard textbook description of Aho-Corasick.
+///
+/// In order to minimize heap usage and to avoid additional construction costs,
+/// this implementation represents the transitions of all states as distinct
+/// sparse memory allocations. This is where it gets its name from. That is,
+/// this NFA has no contiguous memory allocation for its transition table. Each
+/// state gets its own allocation.
+///
+/// While the sparse representation keeps memory usage to somewhat reasonable
+/// levels, it is still quite large and also results in somewhat mediocre
+/// search performance. For this reason, it is almost always a good idea to
+/// use a [`contiguous::NFA`](crate::nfa::contiguous::NFA) instead. It is
+/// marginally slower to build, but has higher throughput and can sometimes use
+/// an order of magnitude less memory. The main reason to use a noncontiguous
+/// NFA is when you need the fastest possible construction time, or when a
+/// contiguous NFA does not have the desired capacity. (The total number of NFA
+/// states it can have is fewer than a noncontiguous NFA.)
+///
+/// # Example
+///
+/// This example shows how to build an `NFA` directly and use it to execute
+/// [`Automaton::try_find`]:
+///
+/// ```
+/// use aho_corasick::{
+/// automaton::Automaton,
+/// nfa::noncontiguous::NFA,
+/// Input, Match,
+/// };
+///
+/// let patterns = &["b", "abc", "abcd"];
+/// let haystack = "abcd";
+///
+/// let nfa = NFA::new(patterns).unwrap();
+/// assert_eq!(
+/// Some(Match::must(0, 1..2)),
+/// nfa.try_find(&Input::new(haystack))?,
+/// );
+/// # Ok::<(), Box<dyn std::error::Error>>(())
+/// ```
+///
+/// It is also possible to implement your own version of `try_find`. See the
+/// [`Automaton`] documentation for an example.
+#[derive(Clone)]
+pub struct NFA {
+ /// The match semantics built into this NFA.
+ match_kind: MatchKind,
+ /// A set of states. Each state defines its own transitions, a fail
+ /// transition and a set of indices corresponding to matches.
+ ///
+ /// The first state is always the fail state, which is used only as a
+ /// sentinel. Namely, in the final NFA, no transition into the fail state
+ /// exists. (Well, they do, but they aren't followed. Instead, the state's
+ /// failure transition is followed.)
+ ///
+ /// The second state (index 1) is always the dead state. Dead states are
+ /// in every automaton, but only used when leftmost-{first,longest} match
+ /// semantics are enabled. Specifically, they instruct search to stop
+ /// at specific points in order to report the correct match location. In
+ /// the standard Aho-Corasick construction, there are no transitions to
+ /// the dead state.
+ ///
+ /// The third state (index 2) is generally intended to be the starting or
+ /// "root" state.
+ states: Vec<State>,
+ /// Transitions stored in a sparse representation via a linked list.
+ ///
+ /// Each transition contains three pieces of information: the byte it
+ /// is defined for, the state it transitions to and a link to the next
+ /// transition in the same state (or `StateID::ZERO` if it is the last
+ /// transition).
+ ///
+ /// The first transition for each state is determined by `State::sparse`.
+ ///
+ /// Note that this contains a complete set of all transitions in this NFA,
+ /// including states that have a dense representation for transitions.
+ /// (Adding dense transitions for a state doesn't remove its sparse
+ /// transitions, since deleting transitions from this particular sparse
+ /// representation would be fairly expensive.)
+ sparse: Vec<Transition>,
+ /// Transitions stored in a dense representation.
+ ///
+ /// A state has a row in this table if and only if `State::dense` is
+ /// not equal to `StateID::ZERO`. When not zero, there are precisely
+ /// `NFA::byte_classes::alphabet_len()` entries beginning at `State::dense`
+ /// in this table.
+ ///
+ /// Generally a very small minority of states have a dense representation
+ /// since it uses so much memory.
+ dense: Vec<StateID>,
+ /// Matches stored in linked list for each state.
+ ///
+ /// Like sparse transitions, each match has a link to the next match in the
+ /// state.
+ ///
+ /// The first match for each state is determined by `State::matches`.
+ matches: Vec<Match>,
+ /// The length, in bytes, of each pattern in this NFA. This slice is
+ /// indexed by `PatternID`.
+ ///
+ /// The number of entries in this vector corresponds to the total number of
+ /// patterns in this automaton.
+ pattern_lens: Vec<SmallIndex>,
+ /// A prefilter for quickly skipping to candidate matches, if pertinent.
+ prefilter: Option<Prefilter>,
+ /// A set of equivalence classes in terms of bytes. We compute this while
+ /// building the NFA, but don't use it in the NFA's states. Instead, we
+ /// use this for building the DFA. We store it on the NFA since it's easy
+ /// to compute while visiting the patterns.
+ byte_classes: ByteClasses,
+ /// The length, in bytes, of the shortest pattern in this automaton. This
+ /// information is useful for detecting whether an automaton matches the
+ /// empty string or not.
+ min_pattern_len: usize,
+ /// The length, in bytes, of the longest pattern in this automaton. This
+ /// information is useful for keeping correct buffer sizes when searching
+ /// on streams.
+ max_pattern_len: usize,
+ /// The information required to deduce which states are "special" in this
+ /// NFA.
+ ///
+ /// Since the DEAD and FAIL states are always the first two states and
+ /// there are only ever two start states (which follow all of the match
+ /// states), it follows that we can determine whether a state is a fail,
+ /// dead, match or start with just a few comparisons on the ID itself:
+ ///
+ /// is_dead(sid): sid == NFA::DEAD
+ /// is_fail(sid): sid == NFA::FAIL
+ /// is_match(sid): NFA::FAIL < sid && sid <= max_match_id
+ /// is_start(sid): sid == start_unanchored_id || sid == start_anchored_id
+ ///
+ /// Note that this only applies to the NFA after it has been constructed.
+ /// During construction, the start states are the first ones added and the
+ /// match states are inter-leaved with non-match states. Once all of the
+ /// states have been added, the states are shuffled such that the above
+ /// predicates hold.
+ special: Special,
+}
+
+impl NFA {
+ /// Create a new Aho-Corasick noncontiguous NFA using the default
+ /// configuration.
+ ///
+ /// Use a [`Builder`] if you want to change the configuration.
+ pub fn new<I, P>(patterns: I) -> Result<NFA, BuildError>
+ where
+ I: IntoIterator<Item = P>,
+ P: AsRef<[u8]>,
+ {
+ NFA::builder().build(patterns)
+ }
+
+ /// A convenience method for returning a new Aho-Corasick noncontiguous NFA
+ /// builder.
+ ///
+ /// This usually permits one to just import the `NFA` type.
+ pub fn builder() -> Builder {
+ Builder::new()
+ }
+}
+
+impl NFA {
+ /// The DEAD state is a sentinel state like the FAIL state. The DEAD state
+ /// instructs any search to stop and return any currently recorded match,
+ /// or no match otherwise. Generally speaking, it is impossible for an
+ /// unanchored standard search to enter a DEAD state. But an anchored
+ /// search can, and so to can a leftmost search.
+ ///
+ /// We put DEAD before FAIL so that DEAD is always 0. We repeat this
+ /// decision across the other Aho-Corasicm automata, so that DEAD
+ /// states there are always 0 too. It's not that we need all of the
+ /// implementations to agree, but rather, the contiguous NFA and the DFA
+ /// use a sort of "premultiplied" state identifier where the only state
+ /// whose ID is always known and constant is the first state. Subsequent
+ /// state IDs depend on how much space has already been used in the
+ /// transition table.
+ pub(crate) const DEAD: StateID = StateID::new_unchecked(0);
+ /// The FAIL state mostly just corresponds to the ID of any transition on a
+ /// state that isn't explicitly defined. When one transitions into the FAIL
+ /// state, one must follow the previous state's failure transition before
+ /// doing the next state lookup. In this way, FAIL is more of a sentinel
+ /// than a state that one actually transitions into. In particular, it is
+ /// never exposed in the `Automaton` interface.
+ pub(crate) const FAIL: StateID = StateID::new_unchecked(1);
+
+ /// Returns the equivalence classes of bytes found while constructing
+ /// this NFA.
+ ///
+ /// Note that the NFA doesn't actually make use of these equivalence
+ /// classes. Instead, these are useful for building the DFA when desired.
+ pub(crate) fn byte_classes(&self) -> &ByteClasses {
+ &self.byte_classes
+ }
+
+ /// Returns a slice containing the length of each pattern in this searcher.
+ /// It is indexed by `PatternID` and has length `NFA::patterns_len`.
+ ///
+ /// This is exposed for convenience when building a contiguous NFA. But it
+ /// can be reconstructed from the `Automaton` API if necessary.
+ pub(crate) fn pattern_lens_raw(&self) -> &[SmallIndex] {
+ &self.pattern_lens
+ }
+
+ /// Returns a slice of all states in this non-contiguous NFA.
+ pub(crate) fn states(&self) -> &[State] {
+ &self.states
+ }
+
+ /// Returns the underlying "special" state information for this NFA.
+ pub(crate) fn special(&self) -> &Special {
+ &self.special
+ }
+
+ /// Swaps the states at `id1` and `id2`.
+ ///
+ /// This does not update the transitions of any state to account for the
+ /// state swap.
+ pub(crate) fn swap_states(&mut self, id1: StateID, id2: StateID) {
+ self.states.swap(id1.as_usize(), id2.as_usize());
+ }
+
+ /// Re-maps all state IDs in this NFA according to the `map` function
+ /// given.
+ pub(crate) fn remap(&mut self, map: impl Fn(StateID) -> StateID) {
+ let alphabet_len = self.byte_classes.alphabet_len();
+ for state in self.states.iter_mut() {
+ state.fail = map(state.fail);
+ let mut link = state.sparse;
+ while link != StateID::ZERO {
+ let t = &mut self.sparse[link];
+ t.next = map(t.next);
+ link = t.link;
+ }
+ if state.dense != StateID::ZERO {
+ let start = state.dense.as_usize();
+ for next in self.dense[start..][..alphabet_len].iter_mut() {
+ *next = map(*next);
+ }
+ }
+ }
+ }
+
+ /// Iterate over all of the transitions for the given state ID.
+ pub(crate) fn iter_trans(
+ &self,
+ sid: StateID,
+ ) -> impl Iterator<Item = Transition> + '_ {
+ let mut link = self.states[sid].sparse;
+ core::iter::from_fn(move || {
+ if link == StateID::ZERO {
+ return None;
+ }
+ let t = self.sparse[link];
+ link = t.link;
+ Some(t)
+ })
+ }
+
+ /// Iterate over all of the matches for the given state ID.
+ pub(crate) fn iter_matches(
+ &self,
+ sid: StateID,
+ ) -> impl Iterator<Item = PatternID> + '_ {
+ let mut link = self.states[sid].matches;
+ core::iter::from_fn(move || {
+ if link == StateID::ZERO {
+ return None;
+ }
+ let m = self.matches[link];
+ link = m.link;
+ Some(m.pid)
+ })
+ }
+
+ /// Return the link following the one given. If the one given is the last
+ /// link for the given state, then return `None`.
+ ///
+ /// If no previous link is given, then this returns the first link in the
+ /// state, if one exists.
+ ///
+ /// This is useful for manually iterating over the transitions in a single
+ /// state without borrowing the NFA. This permits mutating other parts of
+ /// the NFA during iteration. Namely, one can access the transition pointed
+ /// to by the link via `self.sparse[link]`.
+ fn next_link(
+ &self,
+ sid: StateID,
+ prev: Option<StateID>,
+ ) -> Option<StateID> {
+ let link =
+ prev.map_or(self.states[sid].sparse, |p| self.sparse[p].link);
+ if link == StateID::ZERO {
+ None
+ } else {
+ Some(link)
+ }
+ }
+
+ /// Follow the transition for the given byte in the given state. If no such
+ /// transition exists, then the FAIL state ID is returned.
+ #[inline(always)]
+ fn follow_transition(&self, sid: StateID, byte: u8) -> StateID {
+ let s = &self.states[sid];
+ // This is a special case that targets starting states and states
+ // near a start state. Namely, after the initial trie is constructed,
+ // we look for states close to the start state to convert to a dense
+ // representation for their transitions. This winds up using a lot more
+ // memory per state in exchange for faster transition lookups. But
+ // since we only do this for a small number of states (by default), the
+ // memory usage is usually minimal.
+ //
+ // This has *massive* benefit when executing searches because the
+ // unanchored starting state is by far the hottest state and is
+ // frequently visited. Moreover, the 'for' loop below that works
+ // decently on an actually sparse state is disastrous on a state that
+ // is nearly or completely dense.
+ if s.dense == StateID::ZERO {
+ self.follow_transition_sparse(sid, byte)
+ } else {
+ let class = usize::from(self.byte_classes.get(byte));
+ self.dense[s.dense.as_usize() + class]
+ }
+ }
+
+ /// Like `follow_transition`, but always uses the sparse representation.
+ #[inline(always)]
+ fn follow_transition_sparse(&self, sid: StateID, byte: u8) -> StateID {
+ for t in self.iter_trans(sid) {
+ if byte <= t.byte {
+ if byte == t.byte {
+ return t.next;
+ }
+ break;
+ }
+ }
+ NFA::FAIL
+ }
+
+ /// Set the transition for the given byte to the state ID given.
+ ///
+ /// Note that one should not set transitions to the FAIL state. It is not
+ /// technically incorrect, but it wastes space. If a transition is not
+ /// defined, then it is automatically assumed to lead to the FAIL state.
+ fn add_transition(
+ &mut self,
+ prev: StateID,
+ byte: u8,
+ next: StateID,
+ ) -> Result<(), BuildError> {
+ if self.states[prev].dense != StateID::ZERO {
+ let dense = self.states[prev].dense;
+ let class = usize::from(self.byte_classes.get(byte));
+ self.dense[dense.as_usize() + class] = next;
+ }
+
+ let head = self.states[prev].sparse;
+ if head == StateID::ZERO || byte < self.sparse[head].byte {
+ let new_link = self.alloc_transition()?;
+ self.sparse[new_link] = Transition { byte, next, link: head };
+ self.states[prev].sparse = new_link;
+ return Ok(());
+ } else if byte == self.sparse[head].byte {
+ self.sparse[head].next = next;
+ return Ok(());
+ }
+
+ // We handled the only cases where the beginning of the transition
+ // chain needs to change. At this point, we now know that there is
+ // at least one entry in the transition chain and the byte for that
+ // transition is less than the byte for the transition we're adding.
+ let (mut link_prev, mut link_next) = (head, self.sparse[head].link);
+ while link_next != StateID::ZERO && byte > self.sparse[link_next].byte
+ {
+ link_prev = link_next;
+ link_next = self.sparse[link_next].link;
+ }
+ if link_next == StateID::ZERO || byte < self.sparse[link_next].byte {
+ let link = self.alloc_transition()?;
+ self.sparse[link] = Transition { byte, next, link: link_next };
+ self.sparse[link_prev].link = link;
+ } else {
+ assert_eq!(byte, self.sparse[link_next].byte);
+ self.sparse[link_next].next = next;
+ }
+ Ok(())
+ }
+
+ /// This sets every possible transition (all 255 of them) for the given
+ /// state to the name `next` value.
+ ///
+ /// This is useful for efficiently initializing start/dead states.
+ ///
+ /// # Panics
+ ///
+ /// This requires that the state has no transitions added to it already.
+ /// If it has any transitions, then this panics. It will also panic if
+ /// the state has been densified prior to calling this.
+ fn init_full_state(
+ &mut self,
+ prev: StateID,
+ next: StateID,
+ ) -> Result<(), BuildError> {
+ assert_eq!(
+ StateID::ZERO,
+ self.states[prev].dense,
+ "state must not be dense yet"
+ );
+ assert_eq!(
+ StateID::ZERO,
+ self.states[prev].sparse,
+ "state must have zero transitions"
+ );
+ let mut prev_link = StateID::ZERO;
+ for byte in 0..=255 {
+ let new_link = self.alloc_transition()?;
+ self.sparse[new_link] =
+ Transition { byte, next, link: StateID::ZERO };
+ if prev_link == StateID::ZERO {
+ self.states[prev].sparse = new_link;
+ } else {
+ self.sparse[prev_link].link = new_link;
+ }
+ prev_link = new_link;
+ }
+ Ok(())
+ }
+
+ /// Add a match for the given pattern ID to the state for the given ID.
+ fn add_match(
+ &mut self,
+ sid: StateID,
+ pid: PatternID,
+ ) -> Result<(), BuildError> {
+ let head = self.states[sid].matches;
+ let mut link = head;
+ while self.matches[link].link != StateID::ZERO {
+ link = self.matches[link].link;
+ }
+ let new_match_link = self.alloc_match()?;
+ self.matches[new_match_link].pid = pid;
+ if link == StateID::ZERO {
+ self.states[sid].matches = new_match_link;
+ } else {
+ self.matches[link].link = new_match_link;
+ }
+ Ok(())
+ }
+
+ /// Copy matches from the `src` state to the `dst` state. This is useful
+ /// when a match state can be reached via a failure transition. In which
+ /// case, you'll want to copy the matches (if any) from the state reached
+ /// by the failure transition to the original state you were at.
+ fn copy_matches(
+ &mut self,
+ src: StateID,
+ dst: StateID,
+ ) -> Result<(), BuildError> {
+ let head_dst = self.states[dst].matches;
+ let mut link_dst = head_dst;
+ while self.matches[link_dst].link != StateID::ZERO {
+ link_dst = self.matches[link_dst].link;
+ }
+ let mut link_src = self.states[src].matches;
+ while link_src != StateID::ZERO {
+ let new_match_link =
+ StateID::new(self.matches.len()).map_err(|e| {
+ BuildError::state_id_overflow(
+ StateID::MAX.as_u64(),
+ e.attempted(),
+ )
+ })?;
+ self.matches.push(Match {
+ pid: self.matches[link_src].pid,
+ link: StateID::ZERO,
+ });
+ if link_dst == StateID::ZERO {
+ self.states[dst].matches = new_match_link;
+ } else {
+ self.matches[link_dst].link = new_match_link;
+ }
+
+ link_dst = new_match_link;
+ link_src = self.matches[link_src].link;
+ }
+ Ok(())
+ }
+
+ /// Create a new entry in `NFA::trans`, if there's room, and return that
+ /// entry's ID. If there's no room, then an error is returned.
+ fn alloc_transition(&mut self) -> Result<StateID, BuildError> {
+ let id = StateID::new(self.sparse.len()).map_err(|e| {
+ BuildError::state_id_overflow(StateID::MAX.as_u64(), e.attempted())
+ })?;
+ self.sparse.push(Transition::default());
+ Ok(id)
+ }
+
+ /// Create a new entry in `NFA::matches`, if there's room, and return that
+ /// entry's ID. If there's no room, then an error is returned.
+ fn alloc_match(&mut self) -> Result<StateID, BuildError> {
+ let id = StateID::new(self.matches.len()).map_err(|e| {
+ BuildError::state_id_overflow(StateID::MAX.as_u64(), e.attempted())
+ })?;
+ self.matches.push(Match::default());
+ Ok(id)
+ }
+
+ /// Create a new set of `N` transitions in this NFA's dense transition
+ /// table. The ID return corresponds to the index at which the `N`
+ /// transitions begin. So `id+0` is the first transition and `id+(N-1)` is
+ /// the last.
+ ///
+ /// `N` is determined via `NFA::byte_classes::alphabet_len`.
+ fn alloc_dense_state(&mut self) -> Result<StateID, BuildError> {
+ let id = StateID::new(self.dense.len()).map_err(|e| {
+ BuildError::state_id_overflow(StateID::MAX.as_u64(), e.attempted())
+ })?;
+ // We use FAIL because it's the correct default. If a state doesn't
+ // have a transition defined for every possible byte value, then the
+ // transition function should return NFA::FAIL.
+ self.dense.extend(
+ core::iter::repeat(NFA::FAIL)
+ .take(self.byte_classes.alphabet_len()),
+ );
+ Ok(id)
+ }
+
+ /// Allocate and add a fresh state to the underlying NFA and return its
+ /// ID (guaranteed to be one more than the ID of the previously allocated
+ /// state). If the ID would overflow `StateID`, then this returns an error.
+ fn alloc_state(&mut self, depth: usize) -> Result<StateID, BuildError> {
+ // This is OK because we error when building the trie if we see a
+ // pattern whose length cannot fit into a 'SmallIndex', and the longest
+ // possible depth corresponds to the length of the longest pattern.
+ let depth = SmallIndex::new(depth)
+ .expect("patterns longer than SmallIndex::MAX are not allowed");
+ let id = StateID::new(self.states.len()).map_err(|e| {
+ BuildError::state_id_overflow(StateID::MAX.as_u64(), e.attempted())
+ })?;
+ self.states.push(State {
+ sparse: StateID::ZERO,
+ dense: StateID::ZERO,
+ matches: StateID::ZERO,
+ fail: self.special.start_unanchored_id,
+ depth,
+ });
+ Ok(id)
+ }
+}
+
+// SAFETY: 'start_state' always returns a valid state ID, 'next_state' always
+// returns a valid state ID given a valid state ID. We otherwise claim that
+// all other methods are correct as well.
+unsafe impl Automaton for NFA {
+ #[inline(always)]
+ fn start_state(&self, anchored: Anchored) -> Result<StateID, MatchError> {
+ match anchored {
+ Anchored::No => Ok(self.special.start_unanchored_id),
+ Anchored::Yes => Ok(self.special.start_anchored_id),
+ }
+ }
+
+ #[inline(always)]
+ fn next_state(
+ &self,
+ anchored: Anchored,
+ mut sid: StateID,
+ byte: u8,
+ ) -> StateID {
+ // This terminates since:
+ //
+ // 1. state.fail never points to the FAIL state.
+ // 2. All state.fail values point to a state closer to the start state.
+ // 3. The start state has no transitions to the FAIL state.
+ loop {
+ let next = self.follow_transition(sid, byte);
+ if next != NFA::FAIL {
+ return next;
+ }
+ // For an anchored search, we never follow failure transitions
+ // because failure transitions lead us down a path to matching
+ // a *proper* suffix of the path we were on. Thus, it can only
+ // produce matches that appear after the beginning of the search.
+ if anchored.is_anchored() {
+ return NFA::DEAD;
+ }
+ sid = self.states[sid].fail();
+ }
+ }
+
+ #[inline(always)]
+ fn is_special(&self, sid: StateID) -> bool {
+ sid <= self.special.max_special_id
+ }
+
+ #[inline(always)]
+ fn is_dead(&self, sid: StateID) -> bool {
+ sid == NFA::DEAD
+ }
+
+ #[inline(always)]
+ fn is_match(&self, sid: StateID) -> bool {
+ // N.B. This returns true when sid==NFA::FAIL but that's okay because
+ // NFA::FAIL is not actually a valid state ID from the perspective of
+ // the Automaton trait. Namely, it is never returned by 'start_state'
+ // or by 'next_state'. So we don't need to care about it here.
+ !self.is_dead(sid) && sid <= self.special.max_match_id
+ }
+
+ #[inline(always)]
+ fn is_start(&self, sid: StateID) -> bool {
+ sid == self.special.start_unanchored_id
+ || sid == self.special.start_anchored_id
+ }
+
+ #[inline(always)]
+ fn match_kind(&self) -> MatchKind {
+ self.match_kind
+ }
+
+ #[inline(always)]
+ fn patterns_len(&self) -> usize {
+ self.pattern_lens.len()
+ }
+
+ #[inline(always)]
+ fn pattern_len(&self, pid: PatternID) -> usize {
+ self.pattern_lens[pid].as_usize()
+ }
+
+ #[inline(always)]
+ fn min_pattern_len(&self) -> usize {
+ self.min_pattern_len
+ }
+
+ #[inline(always)]
+ fn max_pattern_len(&self) -> usize {
+ self.max_pattern_len
+ }
+
+ #[inline(always)]
+ fn match_len(&self, sid: StateID) -> usize {
+ self.iter_matches(sid).count()
+ }
+
+ #[inline(always)]
+ fn match_pattern(&self, sid: StateID, index: usize) -> PatternID {
+ self.iter_matches(sid).nth(index).unwrap()
+ }
+
+ #[inline(always)]
+ fn memory_usage(&self) -> usize {
+ self.states.len() * core::mem::size_of::<State>()
+ + self.sparse.len() * core::mem::size_of::<Transition>()
+ + self.matches.len() * core::mem::size_of::<Match>()
+ + self.dense.len() * StateID::SIZE
+ + self.pattern_lens.len() * SmallIndex::SIZE
+ + self.prefilter.as_ref().map_or(0, |p| p.memory_usage())
+ }
+
+ #[inline(always)]
+ fn prefilter(&self) -> Option<&Prefilter> {
+ self.prefilter.as_ref()
+ }
+}
+
+/// A representation of a sparse NFA state for an Aho-Corasick automaton.
+///
+/// It contains the transitions to the next state, a failure transition for
+/// cases where there exists no other transition for the current input byte
+/// and the matches implied by visiting this state (if any).
+#[derive(Clone, Debug)]
+pub(crate) struct State {
+ /// A pointer to `NFA::trans` corresponding to the head of a linked list
+ /// containing all of the transitions for this state.
+ ///
+ /// This is `StateID::ZERO` if and only if this state has zero transitions.
+ sparse: StateID,
+ /// A pointer to a row of `N` transitions in `NFA::dense`. These
+ /// transitions correspond precisely to what is obtained by traversing
+ /// `sparse`, but permits constant time lookup.
+ ///
+ /// When this is zero (which is true for most states in the default
+ /// configuration), then this state has no dense representation.
+ ///
+ /// Note that `N` is equal to `NFA::byte_classes::alphabet_len()`. This is
+ /// typically much less than 256 (the maximum value).
+ dense: StateID,
+ /// A pointer to `NFA::matches` corresponding to the head of a linked list
+ /// containing all of the matches for this state.
+ ///
+ /// This is `StateID::ZERO` if and only if this state is not a match state.
+ matches: StateID,
+ /// The state that should be transitioned to if the current byte in the
+ /// haystack does not have a corresponding transition defined in this
+ /// state.
+ fail: StateID,
+ /// The depth of this state. Specifically, this is the distance from this
+ /// state to the starting state. (For the special sentinel states DEAD and
+ /// FAIL, their depth is always 0.) The depth of a starting state is 0.
+ ///
+ /// Note that depth is currently not used in this non-contiguous NFA. It
+ /// may in the future, but it is used in the contiguous NFA. Namely, it
+ /// permits an optimization where states near the starting state have their
+ /// transitions stored in a dense fashion, but all other states have their
+ /// transitions stored in a sparse fashion. (This non-contiguous NFA uses
+ /// a sparse representation for all states unconditionally.) In any case,
+ /// this is really the only convenient place to compute and store this
+ /// information, which we need when building the contiguous NFA.
+ depth: SmallIndex,
+}
+
+impl State {
+ /// Return true if and only if this state is a match state.
+ pub(crate) fn is_match(&self) -> bool {
+ self.matches != StateID::ZERO
+ }
+
+ /// Returns the failure transition for this state.
+ pub(crate) fn fail(&self) -> StateID {
+ self.fail
+ }
+
+ /// Returns the depth of this state. That is, the number of transitions
+ /// this state is from the start state of the NFA.
+ pub(crate) fn depth(&self) -> SmallIndex {
+ self.depth
+ }
+}
+
+/// A single transition in a non-contiguous NFA.
+#[derive(Clone, Copy, Default)]
+#[repr(packed)]
+pub(crate) struct Transition {
+ byte: u8,
+ next: StateID,
+ link: StateID,
+}
+
+impl Transition {
+ /// Return the byte for which this transition is defined.
+ pub(crate) fn byte(&self) -> u8 {
+ self.byte
+ }
+
+ /// Return the ID of the state that this transition points to.
+ pub(crate) fn next(&self) -> StateID {
+ self.next
+ }
+
+ /// Return the ID of the next transition.
+ fn link(&self) -> StateID {
+ self.link
+ }
+}
+
+impl core::fmt::Debug for Transition {
+ fn fmt(&self, f: &mut core::fmt::Formatter) -> core::fmt::Result {
+ write!(
+ f,
+ "Transition(byte: {:X?}, next: {:?}, link: {:?})",
+ self.byte,
+ self.next().as_usize(),
+ self.link().as_usize()
+ )
+ }
+}
+
+/// A single match in a non-contiguous NFA.
+#[derive(Clone, Copy, Default)]
+struct Match {
+ pid: PatternID,
+ link: StateID,
+}
+
+impl Match {
+ /// Return the pattern ID for this match.
+ pub(crate) fn pattern(&self) -> PatternID {
+ self.pid
+ }
+
+ /// Return the ID of the next match.
+ fn link(&self) -> StateID {
+ self.link
+ }
+}
+
+impl core::fmt::Debug for Match {
+ fn fmt(&self, f: &mut core::fmt::Formatter) -> core::fmt::Result {
+ write!(
+ f,
+ "Match(pid: {:?}, link: {:?})",
+ self.pattern().as_usize(),
+ self.link().as_usize()
+ )
+ }
+}
+
+/// A builder for configuring an Aho-Corasick noncontiguous NFA.
+///
+/// This builder has a subset of the options available to a
+/// [`AhoCorasickBuilder`](crate::AhoCorasickBuilder). Of the shared options,
+/// their behavior is identical.
+#[derive(Clone, Debug)]
+pub struct Builder {
+ match_kind: MatchKind,
+ prefilter: bool,
+ ascii_case_insensitive: bool,
+ dense_depth: usize,
+}
+
+impl Default for Builder {
+ fn default() -> Builder {
+ Builder {
+ match_kind: MatchKind::default(),
+ prefilter: true,
+ ascii_case_insensitive: false,
+ dense_depth: 3,
+ }
+ }
+}
+
+impl Builder {
+ /// Create a new builder for configuring an Aho-Corasick noncontiguous NFA.
+ pub fn new() -> Builder {
+ Builder::default()
+ }
+
+ /// Build an Aho-Corasick noncontiguous NFA from the given iterator of
+ /// patterns.
+ ///
+ /// A builder may be reused to create more NFAs.
+ pub fn build<I, P>(&self, patterns: I) -> Result<NFA, BuildError>
+ where
+ I: IntoIterator<Item = P>,
+ P: AsRef<[u8]>,
+ {
+ debug!("building non-contiguous NFA");
+ let nfa = Compiler::new(self)?.compile(patterns)?;
+ debug!(
+ "non-contiguous NFA built, <states: {:?}, size: {:?}>",
+ nfa.states.len(),
+ nfa.memory_usage()
+ );
+ Ok(nfa)
+ }
+
+ /// Set the desired match semantics.
+ ///
+ /// See
+ /// [`AhoCorasickBuilder::match_kind`](crate::AhoCorasickBuilder::match_kind)
+ /// for more documentation and examples.
+ pub fn match_kind(&mut self, kind: MatchKind) -> &mut Builder {
+ self.match_kind = kind;
+ self
+ }
+
+ /// Enable ASCII-aware case insensitive matching.
+ ///
+ /// See
+ /// [`AhoCorasickBuilder::ascii_case_insensitive`](crate::AhoCorasickBuilder::ascii_case_insensitive)
+ /// for more documentation and examples.
+ pub fn ascii_case_insensitive(&mut self, yes: bool) -> &mut Builder {
+ self.ascii_case_insensitive = yes;
+ self
+ }
+
+ /// Set the limit on how many states use a dense representation for their
+ /// transitions. Other states will generally use a sparse representation.
+ ///
+ /// See
+ /// [`AhoCorasickBuilder::dense_depth`](crate::AhoCorasickBuilder::dense_depth)
+ /// for more documentation and examples.
+ pub fn dense_depth(&mut self, depth: usize) -> &mut Builder {
+ self.dense_depth = depth;
+ self
+ }
+
+ /// Enable heuristic prefilter optimizations.
+ ///
+ /// See
+ /// [`AhoCorasickBuilder::prefilter`](crate::AhoCorasickBuilder::prefilter)
+ /// for more documentation and examples.
+ pub fn prefilter(&mut self, yes: bool) -> &mut Builder {
+ self.prefilter = yes;
+ self
+ }
+}
+
+/// A compiler uses a builder configuration and builds up the NFA formulation
+/// of an Aho-Corasick automaton. This roughly corresponds to the standard
+/// formulation described in textbooks, with some tweaks to support leftmost
+/// searching.
+#[derive(Debug)]
+struct Compiler<'a> {
+ builder: &'a Builder,
+ prefilter: prefilter::Builder,
+ nfa: NFA,
+ byteset: ByteClassSet,
+}
+
+impl<'a> Compiler<'a> {
+ fn new(builder: &'a Builder) -> Result<Compiler<'a>, BuildError> {
+ let prefilter = prefilter::Builder::new(builder.match_kind)
+ .ascii_case_insensitive(builder.ascii_case_insensitive);
+ Ok(Compiler {
+ builder,
+ prefilter,
+ nfa: NFA {
+ match_kind: builder.match_kind,
+ states: vec![],
+ sparse: vec![],
+ dense: vec![],
+ matches: vec![],
+ pattern_lens: vec![],
+ prefilter: None,
+ byte_classes: ByteClasses::singletons(),
+ min_pattern_len: usize::MAX,
+ max_pattern_len: 0,
+ special: Special::zero(),
+ },
+ byteset: ByteClassSet::empty(),
+ })
+ }
+
+ fn compile<I, P>(mut self, patterns: I) -> Result<NFA, BuildError>
+ where
+ I: IntoIterator<Item = P>,
+ P: AsRef<[u8]>,
+ {
+ // Add dummy transition/match links, so that no valid link will point
+ // to another link at index 0.
+ self.nfa.sparse.push(Transition::default());
+ self.nfa.matches.push(Match::default());
+ // Add a dummy dense transition so that no states can have dense==0
+ // represent a valid pointer to dense transitions. This permits
+ // dense==0 to be a sentinel indicating "no dense transitions."
+ self.nfa.dense.push(NFA::DEAD);
+ // the dead state, only used for leftmost and fixed to id==0
+ self.nfa.alloc_state(0)?;
+ // the fail state, which is never entered and fixed to id==1
+ self.nfa.alloc_state(0)?;
+ // unanchored start state, initially fixed to id==2 but later shuffled
+ // to appear after all non-start match states.
+ self.nfa.special.start_unanchored_id = self.nfa.alloc_state(0)?;
+ // anchored start state, initially fixed to id==3 but later shuffled
+ // to appear after unanchored start state.
+ self.nfa.special.start_anchored_id = self.nfa.alloc_state(0)?;
+ // Initialize the unanchored starting state in order to make it dense,
+ // and thus make transition lookups on this state faster.
+ self.init_unanchored_start_state()?;
+ // Set all transitions on the DEAD state to point to itself. This way,
+ // the DEAD state can never be escaped. It MUST be used as a sentinel
+ // in any correct search.
+ self.add_dead_state_loop()?;
+ // Build the base trie from the given patterns.
+ self.build_trie(patterns)?;
+ self.nfa.states.shrink_to_fit();
+ // Turn our set of bytes into equivalent classes. This NFA
+ // implementation uses byte classes only for states that use a dense
+ // representation of transitions. (And that's why this comes before
+ // `self.densify()`, as the byte classes need to be set first.)
+ self.nfa.byte_classes = self.byteset.byte_classes();
+ // Add transitions (and maybe matches) to the anchored starting state.
+ // The anchored starting state is used for anchored searches. The only
+ // mechanical difference between it and the unanchored start state is
+ // that missing transitions map to the DEAD state instead of the FAIL
+ // state.
+ self.set_anchored_start_state()?;
+ // Rewrite transitions to the FAIL state on the unanchored start state
+ // as self-transitions. This keeps the start state active at all times.
+ self.add_unanchored_start_state_loop();
+ // Make some (possibly zero) states use a dense representation for
+ // transitions. It's important to do this right after the states
+ // and non-failure transitions are solidified. That way, subsequent
+ // accesses (particularly `fill_failure_transitions`) will benefit from
+ // the faster transition lookup in densified states.
+ self.densify()?;
+ // The meat of the Aho-Corasick algorithm: compute and write failure
+ // transitions. i.e., the state to move to when a transition isn't
+ // defined in the current state. These are epsilon transitions and thus
+ // make this formulation an NFA.
+ self.fill_failure_transitions()?;
+ // Handle a special case under leftmost semantics when at least one
+ // of the patterns is the empty string.
+ self.close_start_state_loop_for_leftmost();
+ // Shuffle states so that we have DEAD, FAIL, MATCH, ..., START, START,
+ // NON-MATCH, ... This permits us to very quickly query the type of
+ // the state we're currently in during a search.
+ self.shuffle();
+ self.nfa.prefilter = self.prefilter.build();
+ // Store the maximum ID of all *relevant* special states. Start states
+ // are only relevant when we have a prefilter, otherwise, there is zero
+ // reason to care about whether a state is a start state or not during
+ // a search. Indeed, without a prefilter, we are careful to explicitly
+ // NOT care about start states, otherwise the search can ping pong
+ // between the unrolled loop and the handling of special-status states
+ // and destroy perf.
+ self.nfa.special.max_special_id = if self.nfa.prefilter.is_some() {
+ // Why the anchored starting state? Because we always put it
+ // after the unanchored starting state and it is therefore the
+ // maximum. Why put unanchored followed by anchored? No particular
+ // reason, but that's how the states are logically organized in the
+ // Thompson NFA implementation found in regex-automata. ¯\_(ツ)_/¯
+ self.nfa.special.start_anchored_id
+ } else {
+ self.nfa.special.max_match_id
+ };
+ self.nfa.sparse.shrink_to_fit();
+ self.nfa.dense.shrink_to_fit();
+ self.nfa.matches.shrink_to_fit();
+ self.nfa.pattern_lens.shrink_to_fit();
+ Ok(self.nfa)
+ }
+
+ /// This sets up the initial prefix trie that makes up the Aho-Corasick
+ /// automaton. Effectively, it creates the basic structure of the
+ /// automaton, where every pattern given has a path from the start state to
+ /// the end of the pattern.
+ fn build_trie<I, P>(&mut self, patterns: I) -> Result<(), BuildError>
+ where
+ I: IntoIterator<Item = P>,
+ P: AsRef<[u8]>,
+ {
+ 'PATTERNS: for (i, pat) in patterns.into_iter().enumerate() {
+ let pid = PatternID::new(i).map_err(|e| {
+ BuildError::pattern_id_overflow(
+ PatternID::MAX.as_u64(),
+ e.attempted(),
+ )
+ })?;
+ let pat = pat.as_ref();
+ let patlen = SmallIndex::new(pat.len())
+ .map_err(|_| BuildError::pattern_too_long(pid, pat.len()))?;
+ self.nfa.min_pattern_len =
+ core::cmp::min(self.nfa.min_pattern_len, pat.len());
+ self.nfa.max_pattern_len =
+ core::cmp::max(self.nfa.max_pattern_len, pat.len());
+ assert_eq!(
+ i,
+ self.nfa.pattern_lens.len(),
+ "expected number of patterns to match pattern ID"
+ );
+ self.nfa.pattern_lens.push(patlen);
+ // We add the pattern to the prefilter here because the pattern
+ // ID in the prefilter is determined with respect to the patterns
+ // added to the prefilter. That is, it isn't the ID we have here,
+ // but the one determined by its own accounting of patterns.
+ // To ensure they line up, we add every pattern we see to the
+ // prefilter, even if some patterns ultimately are impossible to
+ // match (in leftmost-first semantics specifically).
+ //
+ // Another way of doing this would be to expose an API in the
+ // prefilter to permit setting your own pattern IDs. Or to just use
+ // our own map and go between them. But this case is sufficiently
+ // rare that we don't bother and just make sure they're in sync.
+ if self.builder.prefilter {
+ self.prefilter.add(pat);
+ }
+
+ let mut prev = self.nfa.special.start_unanchored_id;
+ let mut saw_match = false;
+ for (depth, &b) in pat.iter().enumerate() {
+ // When leftmost-first match semantics are requested, we
+ // specifically stop adding patterns when a previously added
+ // pattern is a prefix of it. We avoid adding it because
+ // leftmost-first semantics imply that the pattern can never
+ // match. This is not just an optimization to save space! It
+ // is necessary for correctness. In fact, this is the only
+ // difference in the automaton between the implementations for
+ // leftmost-first and leftmost-longest.
+ saw_match = saw_match || self.nfa.states[prev].is_match();
+ if self.builder.match_kind.is_leftmost_first() && saw_match {
+ // Skip to the next pattern immediately. This avoids
+ // incorrectly adding a match after this loop terminates.
+ continue 'PATTERNS;
+ }
+
+ // Add this byte to our equivalence classes. These don't
+ // get used while building the trie, but other Aho-Corasick
+ // implementations may use them.
+ self.byteset.set_range(b, b);
+ if self.builder.ascii_case_insensitive {
+ let b = opposite_ascii_case(b);
+ self.byteset.set_range(b, b);
+ }
+
+ // If the transition from prev using the current byte already
+ // exists, then just move through it. Otherwise, add a new
+ // state. We track the depth here so that we can determine
+ // how to represent transitions. States near the start state
+ // use a dense representation that uses more memory but is
+ // faster. Other states use a sparse representation that uses
+ // less memory but is slower.
+ let next = self.nfa.follow_transition(prev, b);
+ if next != NFA::FAIL {
+ prev = next;
+ } else {
+ let next = self.nfa.alloc_state(depth)?;
+ self.nfa.add_transition(prev, b, next)?;
+ if self.builder.ascii_case_insensitive {
+ let b = opposite_ascii_case(b);
+ self.nfa.add_transition(prev, b, next)?;
+ }
+ prev = next;
+ }
+ }
+ // Once the pattern has been added, log the match in the final
+ // state that it reached.
+ self.nfa.add_match(prev, pid)?;
+ }
+ Ok(())
+ }
+
+ /// This routine creates failure transitions according to the standard
+ /// textbook formulation of the Aho-Corasick algorithm, with a couple small
+ /// tweaks to support "leftmost" semantics.
+ ///
+ /// Building failure transitions is the most interesting part of building
+ /// the Aho-Corasick automaton, because they are what allow searches to
+ /// be performed in linear time. Specifically, a failure transition is
+ /// a single transition associated with each state that points back to
+ /// the longest proper suffix of the pattern being searched. The failure
+ /// transition is followed whenever there exists no transition on the
+ /// current state for the current input byte. If there is no other proper
+ /// suffix, then the failure transition points back to the starting state.
+ ///
+ /// For example, let's say we built an Aho-Corasick automaton with the
+ /// following patterns: 'abcd' and 'cef'. The trie looks like this:
+ ///
+ /// ```ignore
+ /// a - S1 - b - S2 - c - S3 - d - S4*
+ /// /
+ /// S0 - c - S5 - e - S6 - f - S7*
+ /// ```
+ ///
+ /// At this point, it should be fairly straight-forward to see how this
+ /// trie can be used in a simplistic way. At any given position in the
+ /// text we're searching (called the "subject" string), all we need to do
+ /// is follow the transitions in the trie by consuming one transition for
+ /// each byte in the subject string. If we reach a match state, then we can
+ /// report that location as a match.
+ ///
+ /// The trick comes when searching a subject string like 'abcef'. We'll
+ /// initially follow the transition from S0 to S1 and wind up in S3 after
+ /// observng the 'c' byte. At this point, the next byte is 'e' but state
+ /// S3 has no transition for 'e', so the search fails. We then would need
+ /// to restart the search at the next position in 'abcef', which
+ /// corresponds to 'b'. The match would fail, but the next search starting
+ /// at 'c' would finally succeed. The problem with this approach is that
+ /// we wind up searching the subject string potentially many times. In
+ /// effect, this makes the algorithm have worst case `O(n * m)` complexity,
+ /// where `n ~ len(subject)` and `m ~ len(all patterns)`. We would instead
+ /// like to achieve a `O(n + m)` worst case complexity.
+ ///
+ /// This is where failure transitions come in. Instead of dying at S3 in
+ /// the first search, the automaton can instruct the search to move to
+ /// another part of the automaton that corresponds to a suffix of what
+ /// we've seen so far. Recall that we've seen 'abc' in the subject string,
+ /// and the automaton does indeed have a non-empty suffix, 'c', that could
+ /// potentially lead to another match. Thus, the actual Aho-Corasick
+ /// automaton for our patterns in this case looks like this:
+ ///
+ /// ```ignore
+ /// a - S1 - b - S2 - c - S3 - d - S4*
+ /// / /
+ /// / ----------------
+ /// / /
+ /// S0 - c - S5 - e - S6 - f - S7*
+ /// ```
+ ///
+ /// That is, we have a failure transition from S3 to S5, which is followed
+ /// exactly in cases when we are in state S3 but see any byte other than
+ /// 'd' (that is, we've "failed" to find a match in this portion of our
+ /// trie). We know we can transition back to S5 because we've already seen
+ /// a 'c' byte, so we don't need to re-scan it. We can then pick back up
+ /// with the search starting at S5 and complete our match.
+ ///
+ /// Adding failure transitions to a trie is fairly simple, but subtle. The
+ /// key issue is that you might have multiple failure transition that you
+ /// need to follow. For example, look at the trie for the patterns
+ /// 'abcd', 'b', 'bcd' and 'cd':
+ ///
+ /// ```ignore
+ /// - a - S1 - b - S2* - c - S3 - d - S4*
+ /// / / /
+ /// / ------- -------
+ /// / / /
+ /// S0 --- b - S5* - c - S6 - d - S7*
+ /// \ /
+ /// \ --------
+ /// \ /
+ /// - c - S8 - d - S9*
+ /// ```
+ ///
+ /// The failure transitions for this trie are defined from S2 to S5,
+ /// S3 to S6 and S6 to S8. Moreover, state S2 needs to track that it
+ /// corresponds to a match, since its failure transition to S5 is itself
+ /// a match state.
+ ///
+ /// Perhaps simplest way to think about adding these failure transitions
+ /// is recursively. That is, if you know the failure transitions for every
+ /// possible previous state that could be visited (e.g., when computing the
+ /// failure transition for S3, you already know the failure transitions
+ /// for S0, S1 and S2), then you can simply follow the failure transition
+ /// of the previous state and check whether the incoming transition is
+ /// defined after following the failure transition.
+ ///
+ /// For example, when determining the failure state for S3, by our
+ /// assumptions, we already know that there is a failure transition from
+ /// S2 (the previous state) to S5. So we follow that transition and check
+ /// whether the transition connecting S2 to S3 is defined. Indeed, it is,
+ /// as there is a transition from S5 to S6 for the byte 'c'. If no such
+ /// transition existed, we could keep following the failure transitions
+ /// until we reach the start state, which is the failure transition for
+ /// every state that has no corresponding proper suffix.
+ ///
+ /// We don't actually use recursion to implement this, but instead, use a
+ /// breadth first search of the automaton. Our base case is the start
+ /// state, whose failure transition is just a transition to itself.
+ ///
+ /// When building a leftmost automaton, we proceed as above, but only
+ /// include a subset of failure transitions. Namely, we omit any failure
+ /// transitions that appear after a match state in the trie. This is
+ /// because failure transitions always point back to a proper suffix of
+ /// what has been seen so far. Thus, following a failure transition after
+ /// a match implies looking for a match that starts after the one that has
+ /// already been seen, which is of course therefore not the leftmost match.
+ ///
+ /// N.B. I came up with this algorithm on my own, and after scouring all of
+ /// the other AC implementations I know of (Perl, Snort, many on GitHub).
+ /// I couldn't find any that implement leftmost semantics like this.
+ /// Perl of course needs leftmost-first semantics, but they implement it
+ /// with a seeming hack at *search* time instead of encoding it into the
+ /// automaton. There are also a couple Java libraries that support leftmost
+ /// longest semantics, but they do it by building a queue of matches at
+ /// search time, which is even worse than what Perl is doing. ---AG
+ fn fill_failure_transitions(&mut self) -> Result<(), BuildError> {
+ let is_leftmost = self.builder.match_kind.is_leftmost();
+ let start_uid = self.nfa.special.start_unanchored_id;
+ // Initialize the queue for breadth first search with all transitions
+ // out of the start state. We handle the start state specially because
+ // we only want to follow non-self transitions. If we followed self
+ // transitions, then this would never terminate.
+ let mut queue = VecDeque::new();
+ let mut seen = self.queued_set();
+ let mut prev_link = None;
+ while let Some(link) = self.nfa.next_link(start_uid, prev_link) {
+ prev_link = Some(link);
+ let t = self.nfa.sparse[link];
+
+ // Skip anything we've seen before and any self-transitions on the
+ // start state.
+ if start_uid == t.next() || seen.contains(t.next) {
+ continue;
+ }
+ queue.push_back(t.next);
+ seen.insert(t.next);
+ // Under leftmost semantics, if a state immediately following
+ // the start state is a match state, then we never want to
+ // follow its failure transition since the failure transition
+ // necessarily leads back to the start state, which we never
+ // want to do for leftmost matching after a match has been
+ // found.
+ //
+ // We apply the same logic to non-start states below as well.
+ if is_leftmost && self.nfa.states[t.next].is_match() {
+ self.nfa.states[t.next].fail = NFA::DEAD;
+ }
+ }
+ while let Some(id) = queue.pop_front() {
+ let mut prev_link = None;
+ while let Some(link) = self.nfa.next_link(id, prev_link) {
+ prev_link = Some(link);
+ let t = self.nfa.sparse[link];
+
+ if seen.contains(t.next) {
+ // The only way to visit a duplicate state in a transition
+ // list is when ASCII case insensitivity is enabled. In
+ // this case, we want to skip it since it's redundant work.
+ // But it would also end up duplicating matches, which
+ // results in reporting duplicate matches in some cases.
+ // See the 'acasei010' regression test.
+ continue;
+ }
+ queue.push_back(t.next);
+ seen.insert(t.next);
+
+ // As above for start states, under leftmost semantics, once
+ // we see a match all subsequent states should have no failure
+ // transitions because failure transitions always imply looking
+ // for a match that is a suffix of what has been seen so far
+ // (where "seen so far" corresponds to the string formed by
+ // following the transitions from the start state to the
+ // current state). Under leftmost semantics, we specifically do
+ // not want to allow this to happen because we always want to
+ // report the match found at the leftmost position.
+ //
+ // The difference between leftmost-first and leftmost-longest
+ // occurs previously while we build the trie. For
+ // leftmost-first, we simply omit any entries that would
+ // otherwise require passing through a match state.
+ //
+ // Note that for correctness, the failure transition has to be
+ // set to the dead state for ALL states following a match, not
+ // just the match state itself. However, by setting the failure
+ // transition to the dead state on all match states, the dead
+ // state will automatically propagate to all subsequent states
+ // via the failure state computation below.
+ if is_leftmost && self.nfa.states[t.next].is_match() {
+ self.nfa.states[t.next].fail = NFA::DEAD;
+ continue;
+ }
+ let mut fail = self.nfa.states[id].fail;
+ while self.nfa.follow_transition(fail, t.byte) == NFA::FAIL {
+ fail = self.nfa.states[fail].fail;
+ }
+ fail = self.nfa.follow_transition(fail, t.byte);
+ self.nfa.states[t.next].fail = fail;
+ self.nfa.copy_matches(fail, t.next)?;
+ }
+ // If the start state is a match state, then this automaton can
+ // match the empty string. This implies all states are match states
+ // since every position matches the empty string, so copy the
+ // matches from the start state to every state. Strictly speaking,
+ // this is only necessary for overlapping matches since each
+ // non-empty non-start match state needs to report empty matches
+ // in addition to its own. For the non-overlapping case, such
+ // states only report the first match, which is never empty since
+ // it isn't a start state.
+ if !is_leftmost {
+ self.nfa
+ .copy_matches(self.nfa.special.start_unanchored_id, id)?;
+ }
+ }
+ Ok(())
+ }
+
+ /// Shuffle the states so that they appear in this sequence:
+ ///
+ /// DEAD, FAIL, MATCH..., START, START, NON-MATCH...
+ ///
+ /// The idea here is that if we know how special states are laid out in our
+ /// transition table, then we can determine what "kind" of state we're in
+ /// just by comparing our current state ID with a particular value. In this
+ /// way, we avoid doing extra memory lookups.
+ ///
+ /// Before shuffling begins, our states look something like this:
+ ///
+ /// DEAD, FAIL, START, START, (MATCH | NON-MATCH)...
+ ///
+ /// So all we need to do is move all of the MATCH states so that they
+ /// all appear before any NON-MATCH state, like so:
+ ///
+ /// DEAD, FAIL, START, START, MATCH... NON-MATCH...
+ ///
+ /// Then it's just a simple matter of swapping the two START states with
+ /// the last two MATCH states.
+ ///
+ /// (This is the same technique used for fully compiled DFAs in
+ /// regex-automata.)
+ fn shuffle(&mut self) {
+ let old_start_uid = self.nfa.special.start_unanchored_id;
+ let old_start_aid = self.nfa.special.start_anchored_id;
+ assert!(old_start_uid < old_start_aid);
+ assert_eq!(
+ 3,
+ old_start_aid.as_usize(),
+ "anchored start state should be at index 3"
+ );
+ // We implement shuffling by a sequence of pairwise swaps of states.
+ // Since we have a number of things referencing states via their
+ // IDs and swapping them changes their IDs, we need to record every
+ // swap we make so that we can remap IDs. The remapper handles this
+ // book-keeping for us.
+ let mut remapper = Remapper::new(&self.nfa, 0);
+ // The way we proceed here is by moving all match states so that
+ // they directly follow the start states. So it will go: DEAD, FAIL,
+ // START-UNANCHORED, START-ANCHORED, MATCH, ..., NON-MATCH, ...
+ //
+ // To do that, we proceed forward through all states after
+ // START-ANCHORED and swap match states so that they appear before all
+ // non-match states.
+ let mut next_avail = StateID::from(4u8);
+ for i in next_avail.as_usize()..self.nfa.states.len() {
+ let sid = StateID::new(i).unwrap();
+ if !self.nfa.states[sid].is_match() {
+ continue;
+ }
+ remapper.swap(&mut self.nfa, sid, next_avail);
+ // The key invariant here is that only non-match states exist
+ // between 'next_avail' and 'sid' (with them being potentially
+ // equivalent). Thus, incrementing 'next_avail' by 1 is guaranteed
+ // to land on the leftmost non-match state. (Unless 'next_avail'
+ // and 'sid' are equivalent, in which case, a swap will occur but
+ // it is a no-op.)
+ next_avail = StateID::new(next_avail.one_more()).unwrap();
+ }
+ // Now we'd like to move the start states to immediately following the
+ // match states. (The start states may themselves be match states, but
+ // we'll handle that later.) We arrange the states this way so that we
+ // don't necessarily need to check whether a state is a start state or
+ // not before checking whether a state is a match state. For example,
+ // we'd like to be able to write this as our state machine loop:
+ //
+ // sid = start()
+ // for byte in haystack:
+ // sid = next(sid, byte)
+ // if sid <= nfa.max_start_id:
+ // if sid <= nfa.max_dead_id:
+ // # search complete
+ // elif sid <= nfa.max_match_id:
+ // # found match
+ //
+ // The important context here is that we might not want to look for
+ // start states at all. Namely, if a searcher doesn't have a prefilter,
+ // then there is no reason to care about whether we're in a start state
+ // or not. And indeed, if we did check for it, this very hot loop would
+ // ping pong between the special state handling and the main state
+ // transition logic. This in turn stalls the CPU by killing branch
+ // prediction.
+ //
+ // So essentially, we really want to be able to "forget" that start
+ // states even exist and this is why we put them at the end.
+ let new_start_aid =
+ StateID::new(next_avail.as_usize().checked_sub(1).unwrap())
+ .unwrap();
+ remapper.swap(&mut self.nfa, old_start_aid, new_start_aid);
+ let new_start_uid =
+ StateID::new(next_avail.as_usize().checked_sub(2).unwrap())
+ .unwrap();
+ remapper.swap(&mut self.nfa, old_start_uid, new_start_uid);
+ let new_max_match_id =
+ StateID::new(next_avail.as_usize().checked_sub(3).unwrap())
+ .unwrap();
+ self.nfa.special.max_match_id = new_max_match_id;
+ self.nfa.special.start_unanchored_id = new_start_uid;
+ self.nfa.special.start_anchored_id = new_start_aid;
+ // If one start state is a match state, then they both are.
+ if self.nfa.states[self.nfa.special.start_anchored_id].is_match() {
+ self.nfa.special.max_match_id = self.nfa.special.start_anchored_id;
+ }
+ remapper.remap(&mut self.nfa);
+ }
+
+ /// Attempts to convert the transition representation of a subset of states
+ /// in this NFA from sparse to dense. This can greatly improve search
+ /// performance since states with a higher number of transitions tend to
+ /// correlate with very active states.
+ ///
+ /// We generally only densify states that are close to the start state.
+ /// These tend to be the most active states and thus benefit from a dense
+ /// representation more than other states.
+ ///
+ /// This tends to best balance between memory usage and performance. In
+ /// particular, the *vast majority* of all states in a typical Aho-Corasick
+ /// automaton have only 1 transition and are usually farther from the start
+ /// state and thus don't get densified.
+ ///
+ /// Note that this doesn't remove the sparse representation of transitions
+ /// for states that are densified. It could be done, but actually removing
+ /// entries from `NFA::sparse` is likely more expensive than it's worth.
+ fn densify(&mut self) -> Result<(), BuildError> {
+ for i in 0..self.nfa.states.len() {
+ let sid = StateID::new(i).unwrap();
+ // Don't bother densifying states that are only used as sentinels.
+ if sid == NFA::DEAD || sid == NFA::FAIL {
+ continue;
+ }
+ // Only densify states that are "close enough" to the start state.
+ if self.nfa.states[sid].depth.as_usize()
+ >= self.builder.dense_depth
+ {
+ continue;
+ }
+ let dense = self.nfa.alloc_dense_state()?;
+ let mut prev_link = None;
+ while let Some(link) = self.nfa.next_link(sid, prev_link) {
+ prev_link = Some(link);
+ let t = self.nfa.sparse[link];
+
+ let class = usize::from(self.nfa.byte_classes.get(t.byte));
+ let index = dense.as_usize() + class;
+ self.nfa.dense[index] = t.next;
+ }
+ self.nfa.states[sid].dense = dense;
+ }
+ Ok(())
+ }
+
+ /// Returns a set that tracked queued states.
+ ///
+ /// This is only necessary when ASCII case insensitivity is enabled, since
+ /// it is the only way to visit the same state twice. Otherwise, this
+ /// returns an inert set that nevers adds anything and always reports
+ /// `false` for every member test.
+ fn queued_set(&self) -> QueuedSet {
+ if self.builder.ascii_case_insensitive {
+ QueuedSet::active()
+ } else {
+ QueuedSet::inert()
+ }
+ }
+
+ /// Initializes the unanchored start state by making it dense. This is
+ /// achieved by explicitly setting every transition to the FAIL state.
+ /// This isn't necessary for correctness, since any missing transition is
+ /// automatically assumed to be mapped to the FAIL state. We do this to
+ /// make the unanchored starting state dense, and thus in turn make
+ /// transition lookups on it faster. (Which is worth doing because it's
+ /// the most active state.)
+ fn init_unanchored_start_state(&mut self) -> Result<(), BuildError> {
+ let start_uid = self.nfa.special.start_unanchored_id;
+ let start_aid = self.nfa.special.start_anchored_id;
+ self.nfa.init_full_state(start_uid, NFA::FAIL)?;
+ self.nfa.init_full_state(start_aid, NFA::FAIL)?;
+ Ok(())
+ }
+
+ /// Setup the anchored start state by copying all of the transitions and
+ /// matches from the unanchored starting state with one change: the failure
+ /// transition is changed to the DEAD state, so that for any undefined
+ /// transitions, the search will stop.
+ fn set_anchored_start_state(&mut self) -> Result<(), BuildError> {
+ let start_uid = self.nfa.special.start_unanchored_id;
+ let start_aid = self.nfa.special.start_anchored_id;
+ let (mut uprev_link, mut aprev_link) = (None, None);
+ loop {
+ let unext = self.nfa.next_link(start_uid, uprev_link);
+ let anext = self.nfa.next_link(start_aid, aprev_link);
+ let (ulink, alink) = match (unext, anext) {
+ (Some(ulink), Some(alink)) => (ulink, alink),
+ (None, None) => break,
+ _ => unreachable!(),
+ };
+ uprev_link = Some(ulink);
+ aprev_link = Some(alink);
+ self.nfa.sparse[alink].next = self.nfa.sparse[ulink].next;
+ }
+ self.nfa.copy_matches(start_uid, start_aid)?;
+ // This is the main difference between the unanchored and anchored
+ // starting states. If a lookup on an anchored starting state fails,
+ // then the search should stop.
+ //
+ // N.B. This assumes that the loop on the unanchored starting state
+ // hasn't been created yet.
+ self.nfa.states[start_aid].fail = NFA::DEAD;
+ Ok(())
+ }
+
+ /// Set the failure transitions on the start state to loop back to the
+ /// start state. This effectively permits the Aho-Corasick automaton to
+ /// match at any position. This is also required for finding the next
+ /// state to terminate, namely, finding the next state should never return
+ /// a fail_id.
+ ///
+ /// This must be done after building the initial trie, since trie
+ /// construction depends on transitions to `fail_id` to determine whether a
+ /// state already exists or not.
+ fn add_unanchored_start_state_loop(&mut self) {
+ let start_uid = self.nfa.special.start_unanchored_id;
+ let mut prev_link = None;
+ while let Some(link) = self.nfa.next_link(start_uid, prev_link) {
+ prev_link = Some(link);
+ if self.nfa.sparse[link].next() == NFA::FAIL {
+ self.nfa.sparse[link].next = start_uid;
+ }
+ }
+ }
+
+ /// Remove the start state loop by rewriting any transitions on the start
+ /// state back to the start state with transitions to the dead state.
+ ///
+ /// The loop is only closed when two conditions are met: the start state
+ /// is a match state and the match kind is leftmost-first or
+ /// leftmost-longest.
+ ///
+ /// The reason for this is that under leftmost semantics, a start state
+ /// that is also a match implies that we should never restart the search
+ /// process. We allow normal transitions out of the start state, but if
+ /// none exist, we transition to the dead state, which signals that
+ /// searching should stop.
+ fn close_start_state_loop_for_leftmost(&mut self) {
+ let start_uid = self.nfa.special.start_unanchored_id;
+ let start = &mut self.nfa.states[start_uid];
+ let dense = start.dense;
+ if self.builder.match_kind.is_leftmost() && start.is_match() {
+ let mut prev_link = None;
+ while let Some(link) = self.nfa.next_link(start_uid, prev_link) {
+ prev_link = Some(link);
+ if self.nfa.sparse[link].next() == start_uid {
+ self.nfa.sparse[link].next = NFA::DEAD;
+ if dense != StateID::ZERO {
+ let b = self.nfa.sparse[link].byte;
+ let class = usize::from(self.nfa.byte_classes.get(b));
+ self.nfa.dense[dense.as_usize() + class] = NFA::DEAD;
+ }
+ }
+ }
+ }
+ }
+
+ /// Sets all transitions on the dead state to point back to the dead state.
+ /// Normally, missing transitions map back to the failure state, but the
+ /// point of the dead state is to act as a sink that can never be escaped.
+ fn add_dead_state_loop(&mut self) -> Result<(), BuildError> {
+ self.nfa.init_full_state(NFA::DEAD, NFA::DEAD)?;
+ Ok(())
+ }
+}
+
+/// A set of state identifiers used to avoid revisiting the same state multiple
+/// times when filling in failure transitions.
+///
+/// This set has an "inert" and an "active" mode. When inert, the set never
+/// stores anything and always returns `false` for every member test. This is
+/// useful to avoid the performance and memory overhead of maintaining this
+/// set when it is not needed.
+#[derive(Debug)]
+struct QueuedSet {
+ set: Option<BTreeSet<StateID>>,
+}
+
+impl QueuedSet {
+ /// Return an inert set that returns `false` for every state ID membership
+ /// test.
+ fn inert() -> QueuedSet {
+ QueuedSet { set: None }
+ }
+
+ /// Return an active set that tracks state ID membership.
+ fn active() -> QueuedSet {
+ QueuedSet { set: Some(BTreeSet::new()) }
+ }
+
+ /// Inserts the given state ID into this set. (If the set is inert, then
+ /// this is a no-op.)
+ fn insert(&mut self, state_id: StateID) {
+ if let Some(ref mut set) = self.set {
+ set.insert(state_id);
+ }
+ }
+
+ /// Returns true if and only if the given state ID is in this set. If the
+ /// set is inert, this always returns false.
+ fn contains(&self, state_id: StateID) -> bool {
+ match self.set {
+ None => false,
+ Some(ref set) => set.contains(&state_id),
+ }
+ }
+}
+
+impl core::fmt::Debug for NFA {
+ fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
+ use crate::{
+ automaton::{fmt_state_indicator, sparse_transitions},
+ util::debug::DebugByte,
+ };
+
+ writeln!(f, "noncontiguous::NFA(")?;
+ for (sid, state) in self.states.iter().with_state_ids() {
+ // The FAIL state doesn't actually have space for a state allocated
+ // for it, so we have to treat it as a special case.
+ if sid == NFA::FAIL {
+ writeln!(f, "F {:06}:", sid.as_usize())?;
+ continue;
+ }
+ fmt_state_indicator(f, self, sid)?;
+ write!(
+ f,
+ "{:06}({:06}): ",
+ sid.as_usize(),
+ state.fail.as_usize()
+ )?;
+
+ let it = sparse_transitions(
+ self.iter_trans(sid).map(|t| (t.byte, t.next)),
+ )
+ .enumerate();
+ for (i, (start, end, sid)) in it {
+ if i > 0 {
+ write!(f, ", ")?;
+ }
+ if start == end {
+ write!(
+ f,
+ "{:?} => {:?}",
+ DebugByte(start),
+ sid.as_usize()
+ )?;
+ } else {
+ write!(
+ f,
+ "{:?}-{:?} => {:?}",
+ DebugByte(start),
+ DebugByte(end),
+ sid.as_usize()
+ )?;
+ }
+ }
+
+ write!(f, "\n")?;
+ if self.is_match(sid) {
+ write!(f, " matches: ")?;
+ for (i, pid) in self.iter_matches(sid).enumerate() {
+ if i > 0 {
+ write!(f, ", ")?;
+ }
+ write!(f, "{}", pid.as_usize())?;
+ }
+ write!(f, "\n")?;
+ }
+ }
+ writeln!(f, "match kind: {:?}", self.match_kind)?;
+ writeln!(f, "prefilter: {:?}", self.prefilter.is_some())?;
+ writeln!(f, "state length: {:?}", self.states.len())?;
+ writeln!(f, "pattern length: {:?}", self.patterns_len())?;
+ writeln!(f, "shortest pattern length: {:?}", self.min_pattern_len)?;
+ writeln!(f, "longest pattern length: {:?}", self.max_pattern_len)?;
+ writeln!(f, "memory usage: {:?}", self.memory_usage())?;
+ writeln!(f, ")")?;
+ Ok(())
+ }
+}