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-/*!
-An implementation of the [Rabin-Karp substring search algorithm][rabinkarp].
-
-Rabin-Karp works by creating a hash of the needle provided and then computing
-a rolling hash for each needle sized window in the haystack. When the rolling
-hash matches the hash of the needle, a byte-wise comparison is done to check
-if a match exists. The worst case time complexity of Rabin-Karp is `O(m *
-n)` where `m ~ len(needle)` and `n ~ len(haystack)`. Its worst case space
-complexity is constant.
-
-The main utility of Rabin-Karp is that the searcher can be constructed very
-quickly with very little memory. This makes it especially useful when searching
-for small needles in small haystacks, as it might finish its search before a
-beefier algorithm (like Two-Way) even starts.
-
-[rabinkarp]: https://en.wikipedia.org/wiki/Rabin%E2%80%93Karp_algorithm
-*/
-
-/*
-(This was the comment I wrote for this module originally when it was not
-exposed. The comment still looks useful, but it's a bit in the weeds, so it's
-not public itself.)
-
-This module implements the classical Rabin-Karp substring search algorithm,
-with no extra frills. While its use would seem to break our time complexity
-guarantee of O(m+n) (RK's time complexity is O(mn)), we are careful to only
-ever use RK on a constant subset of haystacks. The main point here is that
-RK has good latency properties for small needles/haystacks. It's very quick
-to compute a needle hash and zip through the haystack when compared to
-initializing Two-Way, for example. And this is especially useful for cases
-where the haystack is just too short for vector instructions to do much good.
-
-The hashing function used here is the same one recommended by ESMAJ.
-
-Another choice instead of Rabin-Karp would be Shift-Or. But its latency
-isn't quite as good since its preprocessing time is a bit more expensive
-(both in practice and in theory). However, perhaps Shift-Or has a place
-somewhere else for short patterns. I think the main problem is that it
-requires space proportional to the alphabet and the needle. If we, for
-example, supported needles up to length 16, then the total table size would be
-len(alphabet)*size_of::<u16>()==512 bytes. Which isn't exactly small, and it's
-probably bad to put that on the stack. So ideally, we'd throw it on the heap,
-but we'd really like to write as much code without using alloc/std as possible.
-But maybe it's worth the special casing. It's a TODO to benchmark.
-
-Wikipedia has a decent explanation, if a bit heavy on the theory:
-https://en.wikipedia.org/wiki/Rabin%E2%80%93Karp_algorithm
-
-But ESMAJ provides something a bit more concrete:
-http://www-igm.univ-mlv.fr/~lecroq/string/node5.html
-
-Finally, aho-corasick uses Rabin-Karp for multiple pattern match in some cases:
-https://github.com/BurntSushi/aho-corasick/blob/3852632f10587db0ff72ef29e88d58bf305a0946/src/packed/rabinkarp.rs
-*/
-
-use crate::ext::Pointer;
-
-/// A forward substring searcher using the Rabin-Karp algorithm.
-///
-/// Note that, as a lower level API, a `Finder` does not have access to the
-/// needle it was constructed with. For this reason, executing a search
-/// with a `Finder` requires passing both the needle and the haystack,
-/// where the needle is exactly equivalent to the one given to the `Finder`
-/// at construction time. This design was chosen so that callers can have
-/// more precise control over where and how many times a needle is stored.
-/// For example, in cases where Rabin-Karp is just one of several possible
-/// substring search algorithms.
-#[derive(Clone, Debug)]
-pub struct Finder {
- /// The actual hash.
- hash: Hash,
- /// The factor needed to multiply a byte by in order to subtract it from
- /// the hash. It is defined to be 2^(n-1) (using wrapping exponentiation),
- /// where n is the length of the needle. This is how we "remove" a byte
- /// from the hash once the hash window rolls past it.
- hash_2pow: u32,
-}
-
-impl Finder {
- /// Create a new Rabin-Karp forward searcher for the given `needle`.
- ///
- /// The needle may be empty. The empty needle matches at every byte offset.
- ///
- /// Note that callers must pass the same needle to all search calls using
- /// this `Finder`.
- #[inline]
- pub fn new(needle: &[u8]) -> Finder {
- let mut s = Finder { hash: Hash::new(), hash_2pow: 1 };
- let first_byte = match needle.get(0) {
- None => return s,
- Some(&first_byte) => first_byte,
- };
- s.hash.add(first_byte);
- for b in needle.iter().copied().skip(1) {
- s.hash.add(b);
- s.hash_2pow = s.hash_2pow.wrapping_shl(1);
- }
- s
- }
-
- /// Return the first occurrence of the `needle` in the `haystack`
- /// given. If no such occurrence exists, then `None` is returned.
- ///
- /// The `needle` provided must match the needle given to this finder at
- /// construction time.
- ///
- /// The maximum value this can return is `haystack.len()`, which can only
- /// occur when the needle and haystack both have length zero. Otherwise,
- /// for non-empty haystacks, the maximum value is `haystack.len() - 1`.
- #[inline]
- pub fn find(&self, haystack: &[u8], needle: &[u8]) -> Option<usize> {
- unsafe {
- let hstart = haystack.as_ptr();
- let hend = hstart.add(haystack.len());
- let nstart = needle.as_ptr();
- let nend = nstart.add(needle.len());
- let found = self.find_raw(hstart, hend, nstart, nend)?;
- Some(found.distance(hstart))
- }
- }
-
- /// Like `find`, but accepts and returns raw pointers.
- ///
- /// When a match is found, the pointer returned is guaranteed to be
- /// `>= start` and `<= end`. The pointer returned is only ever equivalent
- /// to `end` when both the needle and haystack are empty. (That is, the
- /// empty string matches the empty string.)
- ///
- /// This routine is useful if you're already using raw pointers and would
- /// like to avoid converting back to a slice before executing a search.
- ///
- /// # Safety
- ///
- /// Note that `start` and `end` below refer to both pairs of pointers given
- /// to this routine. That is, the conditions apply to both `hstart`/`hend`
- /// and `nstart`/`nend`.
- ///
- /// * Both `start` and `end` must be valid for reads.
- /// * Both `start` and `end` must point to an initialized value.
- /// * Both `start` and `end` must point to the same allocated object and
- /// must either be in bounds or at most one byte past the end of the
- /// allocated object.
- /// * Both `start` and `end` must be _derived from_ a pointer to the same
- /// object.
- /// * The distance between `start` and `end` must not overflow `isize`.
- /// * The distance being in bounds must not rely on "wrapping around" the
- /// address space.
- /// * It must be the case that `start <= end`.
- #[inline]
- pub unsafe fn find_raw(
- &self,
- hstart: *const u8,
- hend: *const u8,
- nstart: *const u8,
- nend: *const u8,
- ) -> Option<*const u8> {
- let hlen = hend.distance(hstart);
- let nlen = nend.distance(nstart);
- if nlen > hlen {
- return None;
- }
- let mut cur = hstart;
- let end = hend.sub(nlen);
- let mut hash = Hash::forward(cur, cur.add(nlen));
- loop {
- if self.hash == hash && is_equal_raw(cur, nstart, nlen) {
- return Some(cur);
- }
- if cur >= end {
- return None;
- }
- hash.roll(self, cur.read(), cur.add(nlen).read());
- cur = cur.add(1);
- }
- }
-}
-
-/// A reverse substring searcher using the Rabin-Karp algorithm.
-#[derive(Clone, Debug)]
-pub struct FinderRev(Finder);
-
-impl FinderRev {
- /// Create a new Rabin-Karp reverse searcher for the given `needle`.
- #[inline]
- pub fn new(needle: &[u8]) -> FinderRev {
- let mut s = FinderRev(Finder { hash: Hash::new(), hash_2pow: 1 });
- let last_byte = match needle.last() {
- None => return s,
- Some(&last_byte) => last_byte,
- };
- s.0.hash.add(last_byte);
- for b in needle.iter().rev().copied().skip(1) {
- s.0.hash.add(b);
- s.0.hash_2pow = s.0.hash_2pow.wrapping_shl(1);
- }
- s
- }
-
- /// Return the last occurrence of the `needle` in the `haystack`
- /// given. If no such occurrence exists, then `None` is returned.
- ///
- /// The `needle` provided must match the needle given to this finder at
- /// construction time.
- ///
- /// The maximum value this can return is `haystack.len()`, which can only
- /// occur when the needle and haystack both have length zero. Otherwise,
- /// for non-empty haystacks, the maximum value is `haystack.len() - 1`.
- #[inline]
- pub fn rfind(&self, haystack: &[u8], needle: &[u8]) -> Option<usize> {
- unsafe {
- let hstart = haystack.as_ptr();
- let hend = hstart.add(haystack.len());
- let nstart = needle.as_ptr();
- let nend = nstart.add(needle.len());
- let found = self.rfind_raw(hstart, hend, nstart, nend)?;
- Some(found.distance(hstart))
- }
- }
-
- /// Like `rfind`, but accepts and returns raw pointers.
- ///
- /// When a match is found, the pointer returned is guaranteed to be
- /// `>= start` and `<= end`. The pointer returned is only ever equivalent
- /// to `end` when both the needle and haystack are empty. (That is, the
- /// empty string matches the empty string.)
- ///
- /// This routine is useful if you're already using raw pointers and would
- /// like to avoid converting back to a slice before executing a search.
- ///
- /// # Safety
- ///
- /// Note that `start` and `end` below refer to both pairs of pointers given
- /// to this routine. That is, the conditions apply to both `hstart`/`hend`
- /// and `nstart`/`nend`.
- ///
- /// * Both `start` and `end` must be valid for reads.
- /// * Both `start` and `end` must point to an initialized value.
- /// * Both `start` and `end` must point to the same allocated object and
- /// must either be in bounds or at most one byte past the end of the
- /// allocated object.
- /// * Both `start` and `end` must be _derived from_ a pointer to the same
- /// object.
- /// * The distance between `start` and `end` must not overflow `isize`.
- /// * The distance being in bounds must not rely on "wrapping around" the
- /// address space.
- /// * It must be the case that `start <= end`.
- #[inline]
- pub unsafe fn rfind_raw(
- &self,
- hstart: *const u8,
- hend: *const u8,
- nstart: *const u8,
- nend: *const u8,
- ) -> Option<*const u8> {
- let hlen = hend.distance(hstart);
- let nlen = nend.distance(nstart);
- if nlen > hlen {
- return None;
- }
- let mut cur = hend.sub(nlen);
- let start = hstart;
- let mut hash = Hash::reverse(cur, cur.add(nlen));
- loop {
- if self.0.hash == hash && is_equal_raw(cur, nstart, nlen) {
- return Some(cur);
- }
- if cur <= start {
- return None;
- }
- cur = cur.sub(1);
- hash.roll(&self.0, cur.add(nlen).read(), cur.read());
- }
- }
-}
-
-/// Whether RK is believed to be very fast for the given needle/haystack.
-#[inline]
-pub(crate) fn is_fast(haystack: &[u8], _needle: &[u8]) -> bool {
- haystack.len() < 16
-}
-
-/// A Rabin-Karp hash. This might represent the hash of a needle, or the hash
-/// of a rolling window in the haystack.
-#[derive(Clone, Copy, Debug, Default, Eq, PartialEq)]
-struct Hash(u32);
-
-impl Hash {
- /// Create a new hash that represents the empty string.
- #[inline(always)]
- fn new() -> Hash {
- Hash(0)
- }
-
- /// Create a new hash from the bytes given for use in forward searches.
- ///
- /// # Safety
- ///
- /// The given pointers must be valid to read from within their range.
- #[inline(always)]
- unsafe fn forward(mut start: *const u8, end: *const u8) -> Hash {
- let mut hash = Hash::new();
- while start < end {
- hash.add(start.read());
- start = start.add(1);
- }
- hash
- }
-
- /// Create a new hash from the bytes given for use in reverse searches.
- ///
- /// # Safety
- ///
- /// The given pointers must be valid to read from within their range.
- #[inline(always)]
- unsafe fn reverse(start: *const u8, mut end: *const u8) -> Hash {
- let mut hash = Hash::new();
- while start < end {
- end = end.sub(1);
- hash.add(end.read());
- }
- hash
- }
-
- /// Add 'new' and remove 'old' from this hash. The given needle hash should
- /// correspond to the hash computed for the needle being searched for.
- ///
- /// This is meant to be used when the rolling window of the haystack is
- /// advanced.
- #[inline(always)]
- fn roll(&mut self, finder: &Finder, old: u8, new: u8) {
- self.del(finder, old);
- self.add(new);
- }
-
- /// Add a byte to this hash.
- #[inline(always)]
- fn add(&mut self, byte: u8) {
- self.0 = self.0.wrapping_shl(1).wrapping_add(u32::from(byte));
- }
-
- /// Remove a byte from this hash. The given needle hash should correspond
- /// to the hash computed for the needle being searched for.
- #[inline(always)]
- fn del(&mut self, finder: &Finder, byte: u8) {
- let factor = finder.hash_2pow;
- self.0 = self.0.wrapping_sub(u32::from(byte).wrapping_mul(factor));
- }
-}
-
-/// Returns true when `x[i] == y[i]` for all `0 <= i < n`.
-///
-/// We forcefully don't inline this to hint at the compiler that it is unlikely
-/// to be called. This causes the inner rabinkarp loop above to be a bit
-/// tighter and leads to some performance improvement. See the
-/// memmem/krate/prebuilt/sliceslice-words/words benchmark.
-///
-/// # Safety
-///
-/// Same as `crate::arch::all::is_equal_raw`.
-#[cold]
-#[inline(never)]
-unsafe fn is_equal_raw(x: *const u8, y: *const u8, n: usize) -> bool {
- crate::arch::all::is_equal_raw(x, y, n)
-}
-
-#[cfg(test)]
-mod tests {
- use super::*;
-
- define_substring_forward_quickcheck!(|h, n| Some(
- Finder::new(n).find(h, n)
- ));
- define_substring_reverse_quickcheck!(|h, n| Some(
- FinderRev::new(n).rfind(h, n)
- ));
-
- #[test]
- fn forward() {
- crate::tests::substring::Runner::new()
- .fwd(|h, n| Some(Finder::new(n).find(h, n)))
- .run();
- }
-
- #[test]
- fn reverse() {
- crate::tests::substring::Runner::new()
- .rev(|h, n| Some(FinderRev::new(n).rfind(h, n)))
- .run();
- }
-}