mzstd 0.2.0

Zstandard (RFC 8878) compression and decompression in safe Rust; single-threaded encoding is byte-identical to zstd 1.5.7
Documentation
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//! Index-addressed views of the window's bytes, match counting and the
//! match finders' hash functions (`ZSTD_count`, `ZSTD_hashPtr` and
//! friends).
//!
//! The reference addresses history through two base pointers: indices at or
//! above `dictLimit` live in the current segment (`base + index`), indices
//! between `lowLimit` and `dictLimit` in the previous one
//! (`dictBase + index`). A [`Mem`] is one of those segments as a slice that
//! remembers which index its first byte has, so the ported match finders keep
//! the reference's index arithmetic and every byte they read is bounds
//! checked against the segment it belongs to.

/// One contiguous segment of history, addressed by window index.
#[derive(Copy, Clone, Debug)]
pub(crate) struct Mem<'a> {
    bytes: &'a [u8],
    start: u32,
}

impl<'a> Mem<'a> {
    /// A segment whose first byte has index `start`.
    pub(crate) const fn new(bytes: &'a [u8], start: u32) -> Self {
        Self { bytes, start }
    }

    /// The same bytes, addressed from `start`.
    pub(crate) const fn rebased(self, start: u32) -> Self {
        Self {
            bytes: self.bytes,
            start,
        }
    }

    /// Index of the first byte.
    pub(crate) const fn start(&self) -> u32 {
        self.start
    }

    /// Index one past the last byte.
    pub(crate) const fn end(&self) -> u32 {
        self.start + self.bytes.len() as u32
    }

    #[inline]
    fn offset(&self, index: u32) -> usize {
        (index - self.start) as usize
    }

    /// The byte at `index`.
    #[inline]
    pub(crate) fn byte(&self, index: u32) -> u8 {
        self.bytes[self.offset(index)]
    }

    /// The bytes from `from` to `to`.
    #[inline]
    pub(crate) fn slice(&self, from: u32, to: u32) -> &'a [u8] {
        &self.bytes[self.offset(from)..self.offset(to)]
    }

    #[inline]
    fn array<const N: usize>(&self, index: u32) -> [u8; N] {
        let at = self.offset(index);
        match self.bytes.get(at..at + N) {
            Some(bytes) => {
                let mut out = [0u8; N];
                out.copy_from_slice(bytes);
                out
            }
            None => panic!(
                "read of {N} bytes at index {index} outside {}..{}",
                self.start,
                self.end()
            ),
        }
    }

    /// Little-endian `u32` at `index`.
    #[inline]
    pub(crate) fn read32(&self, index: u32) -> u32 {
        u32::from_le_bytes(self.array(index))
    }

    /// Little-endian `u64` at `index`.
    #[inline]
    pub(crate) fn read64(&self, index: u32) -> u64 {
        u64::from_le_bytes(self.array(index))
    }

    /// Length of the common run of `self[ip..limit]` and `other[m..]`
    /// (`ZSTD_count`); `other` must hold at least as many bytes from `m`.
    #[inline]
    pub(crate) fn count_with(&self, ip: u32, other: &Mem<'_>, m: u32, limit: u32) -> usize {
        if ip >= limit {
            return 0;
        }
        let a = &self.bytes[self.offset(ip)..self.offset(limit)];
        let b = &other.bytes[other.offset(m)..];
        count_slices(a, b)
    }

    /// `ZSTD_count` within this segment.
    #[inline]
    pub(crate) fn count(&self, ip: u32, m: u32, limit: u32) -> usize {
        self.count_with(ip, self, m, limit)
    }
}

/// Length of the common prefix of `a` and `b` (`ZSTD_count` on slices).
///
/// The first word settles most candidates with one load per side, an XOR and
/// a trailing-zero count, as the reference does. Longer runs compare whole
/// words over fixed-size chunks, which carry no bounds checks of their own,
/// and finish with one word that ends at the limit: it overlaps bytes already
/// found equal, so its first difference is the first difference of the
/// tail. Only a run shorter than a word is compared byte by byte.
#[inline]
pub(crate) fn count_slices(a: &[u8], b: &[u8]) -> usize {
    let limit = a.len().min(b.len());
    let (a, b) = (&a[..limit], &b[..limit]);
    let (Some(first_a), Some(first_b)) = (a.first_chunk::<8>(), b.first_chunk::<8>()) else {
        return a.iter().zip(b).take_while(|(x, y)| x == y).count();
    };
    let difference = u64::from_le_bytes(*first_a) ^ u64::from_le_bytes(*first_b);
    if difference != 0 {
        return difference.trailing_zeros() as usize >> 3;
    }
    count_long(a, b)
}

/// [`count_slices`] past an equal first word, kept out of line: most
/// candidates differ within it, and the word loop's setup would otherwise be
/// hoisted into every caller's search loop.
#[inline(never)]
fn count_long(a: &[u8], b: &[u8]) -> usize {
    let limit = a.len();
    let (words_a, _) = a.as_chunks::<8>();
    let (words_b, _) = b.as_chunks::<8>();
    let mut matched = 0usize;
    for (word_a, word_b) in words_a.iter().zip(words_b).skip(1) {
        matched += 8;
        let difference = u64::from_le_bytes(*word_a) ^ u64::from_le_bytes(*word_b);
        if difference != 0 {
            return matched + (difference.trailing_zeros() as usize >> 3);
        }
    }
    matched += 8;
    if matched == limit {
        return limit;
    }
    match (a.last_chunk::<8>(), b.last_chunk::<8>()) {
        (Some(last_a), Some(last_b)) => {
            let difference = u64::from_le_bytes(*last_a) ^ u64::from_le_bytes(*last_b);
            if difference == 0 {
                limit
            } else {
                limit - 8 + (difference.trailing_zeros() as usize >> 3)
            }
        }
        _ => limit,
    }
}

/// The two segments of history visible to one block.
#[derive(Copy, Clone, Debug)]
pub(crate) struct Window<'a> {
    /// Indices `[dictLimit, block end)`.
    pub(crate) prefix: Mem<'a>,
    /// Indices `[lowLimit, dictLimit)`; empty without an external dictionary.
    pub(crate) ext: Mem<'a>,
}

impl Window<'_> {
    /// The byte at window index `index`, from whichever segment holds it.
    #[inline]
    pub(crate) fn byte_at(&self, index: u32) -> u8 {
        if index < self.prefix.start() {
            self.ext.byte(index)
        } else {
            self.prefix.byte(index)
        }
    }

    /// The `u32` at window index `index`; it must not straddle the
    /// boundary between segments.
    #[inline]
    pub(crate) fn read32_at(&self, index: u32) -> u32 {
        if index < self.prefix.start() {
            self.ext.read32(index)
        } else {
            self.prefix.read32(index)
        }
    }

    /// Common length of the runs at window indices `a` and `b`, stopping
    /// before `limit` for `a`. Indices below the prefix read the external
    /// dictionary, and a run leaving it continues at the prefix start —
    /// the reference's `ZSTD_count` / `ZSTD_count_2segments` pair seen as
    /// one contiguous index space.
    pub(crate) fn count_virtual(&self, a: u32, b: u32, limit: u32) -> usize {
        let boundary = self.prefix.start();
        if a >= boundary && b >= boundary {
            return self.prefix.count(a, b, limit);
        }
        if a >= boundary {
            return self.count_2segments(a, b, limit, boundary, boundary);
        }
        let mut n = 0u32;
        while a + n < limit && self.byte_at(a + n) == self.byte_at(b + n) {
            n += 1;
        }
        n as usize
    }

    /// `ZSTD_count_2segments`: a match starting in `ext` at `m` continues
    /// into the prefix at `prefix_start` once it reaches `m_end`.
    pub(crate) fn count_2segments(
        &self,
        ip: u32,
        m: u32,
        i_end: u32,
        m_end: u32,
        prefix_start: u32,
    ) -> usize {
        let v_end = (ip + (m_end - m)).min(i_end);
        let match_length = self.prefix.count_with(ip, &self.ext, m, v_end);
        if m + match_length as u32 != m_end {
            return match_length;
        }
        match_length
            + self
                .prefix
                .count(ip + match_length as u32, prefix_start, i_end)
    }
}

const PRIME_3_BYTES: u32 = 506_832_829;
const PRIME_4_BYTES: u32 = 2_654_435_761;
const PRIME_5_BYTES: u64 = 889_523_592_379;
const PRIME_6_BYTES: u64 = 227_718_039_650_203;
const PRIME_7_BYTES: u64 = 58_295_818_150_454_627;
/// `prime8bytes`, also the rolling hash multiplier.
pub(crate) const PRIME_8_BYTES: u64 = 0xCF1B_BCDC_B7A5_6463;

/// `ZSTD_hash3`.
#[inline]
pub(crate) const fn hash3(u: u32, h: u32, s: u32) -> usize {
    ((((u << 8).wrapping_mul(PRIME_3_BYTES)) ^ s) >> (32 - h)) as usize
}

#[inline]
const fn hash4(u: u32, h: u32, s: u32) -> usize {
    ((u.wrapping_mul(PRIME_4_BYTES) ^ s) >> (32 - h)) as usize
}

#[inline]
const fn hash5(u: u64, h: u32, s: u64) -> usize {
    (((u << 24).wrapping_mul(PRIME_5_BYTES) ^ s) >> (64 - h)) as usize
}

#[inline]
const fn hash6(u: u64, h: u32, s: u64) -> usize {
    (((u << 16).wrapping_mul(PRIME_6_BYTES) ^ s) >> (64 - h)) as usize
}

#[inline]
const fn hash7(u: u64, h: u32, s: u64) -> usize {
    (((u << 8).wrapping_mul(PRIME_7_BYTES) ^ s) >> (64 - h)) as usize
}

#[inline]
const fn hash8(u: u64, h: u32, s: u64) -> usize {
    ((u.wrapping_mul(PRIME_8_BYTES) ^ s) >> (64 - h)) as usize
}

/// Little-endian `u32` at byte offset `at` of `src` (`MEM_readLE32`).
///
/// Offsets are below 2^32 (they are window indices minus a base), so `at`
/// is masked to that width: it changes nothing for a real offset and lets
/// the compiler see that `at + 4` cannot overflow, which leaves a single
/// compare against the length in front of the load.
///
/// # Panics
///
/// When the four bytes are not inside `src`.
#[inline(always)]
pub(crate) fn load32(src: &[u8], at: usize) -> u32 {
    let at = at & u32::MAX as usize;
    let mut word = [0u8; 4];
    word.copy_from_slice(&src[at..at + 4]);
    u32::from_le_bytes(word)
}

/// Little-endian `u64` at byte offset `at` of `src` (`MEM_readLE64`); see
/// [`load32`].
///
/// # Panics
///
/// When the eight bytes are not inside `src`.
#[inline(always)]
pub(crate) fn load64(src: &[u8], at: usize) -> u64 {
    let at = at & u32::MAX as usize;
    let mut word = [0u8; 8];
    word.copy_from_slice(&src[at..at + 8]);
    u64::from_le_bytes(word)
}

/// The nine bytes at offset `at` of `src`: a probed position and the one
/// after it, both readable as whole words without further bounds tests
/// ([`window_word`]).
///
/// # Panics
///
/// When the nine bytes are not inside `src`.
#[inline(always)]
pub(crate) fn window9(src: &[u8], at: usize) -> &[u8; 9] {
    let at = at & u32::MAX as usize;
    match src[at..at + 9].first_chunk::<9>() {
        Some(window) => window,
        None => unreachable!("a nine-byte slice holds nine bytes"),
    }
}

/// The little-endian word at `OFF` (0 or 1) of a [`window9`].
#[inline(always)]
pub(crate) fn window_word<const OFF: usize>(window: &[u8; 9]) -> u64 {
    let mut word = [0u8; 8];
    word.copy_from_slice(&window[OFF..OFF + 8]);
    u64::from_le_bytes(word)
}

/// `ZSTD_hashPtr` over a little-endian word already loaded from the
/// position: the match finders load eight bytes once per position and
/// derive every hash and compare at it from them. `MLS` outside `5..=8`
/// hashes the low four bytes.
#[inline(always)]
pub(crate) const fn hash_word<const MLS: u32>(word: u64, h_bits: u32) -> usize {
    match MLS {
        5 => hash5(word, h_bits, 0),
        6 => hash6(word, h_bits, 0),
        7 => hash7(word, h_bits, 0),
        8 => hash8(word, h_bits, 0),
        _ => hash4(word as u32, h_bits, 0),
    }
}

/// `ZSTD_hashPtr` over the bytes at offset `at` of `src`, with the match
/// length fixed at compile time as the reference's templated match finders
/// call it; `MLS` outside `5..=8` hashes four bytes.
#[inline(always)]
pub(crate) fn hash_at<const MLS: u32>(src: &[u8], at: usize, h_bits: u32) -> usize {
    match MLS {
        5 => hash5(load64(src, at), h_bits, 0),
        6 => hash6(load64(src, at), h_bits, 0),
        7 => hash7(load64(src, at), h_bits, 0),
        8 => hash8(load64(src, at), h_bits, 0),
        _ => hash4(load32(src, at), h_bits, 0),
    }
}

/// `ZSTD_hashPtrSalted` over the bytes at `index` of `mem`.
#[inline]
pub(crate) fn hash_salted(mem: &Mem<'_>, index: u32, h_bits: u32, mls: u32, salt: u64) -> usize {
    match mls {
        5 => hash5(mem.read64(index), h_bits, salt),
        6 => hash6(mem.read64(index), h_bits, salt),
        7 => hash7(mem.read64(index), h_bits, salt),
        8 => hash8(mem.read64(index), h_bits, salt),
        _ => hash4(mem.read32(index), h_bits, salt as u32),
    }
}

/// `ZSTD_hashPtr` over the bytes at `index` of `mem`.
#[inline]
pub(crate) fn hash_ptr(mem: &Mem<'_>, index: u32, h_bits: u32, mls: u32) -> usize {
    hash_salted(mem, index, h_bits, mls, 0)
}

/// `ZSTD_hash3Ptr` over the bytes at `index` of `mem`; the optimal parser
/// hashes through its own slice view, so only the tests use this one.
#[cfg(test)]
pub(crate) fn hash3_ptr(mem: &Mem<'_>, index: u32, h_bits: u32) -> usize {
    hash3(mem.read32(index), h_bits, 0)
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn reads_are_little_endian_and_index_addressed() {
        let bytes = [1u8, 2, 3, 4, 5, 6, 7, 8, 9];
        let mem = Mem::new(&bytes, 100);
        assert_eq!(mem.byte(100), 1);
        assert_eq!(mem.read32(100), 0x0403_0201);
        assert_eq!(mem.read64(101), 0x0908_0706_0504_0302);
        assert_eq!(mem.slice(102, 104), &[3, 4]);
        assert_eq!((mem.start(), mem.end()), (100, 109));
    }

    #[test]
    #[should_panic(expected = "outside")]
    fn reading_past_a_segment_panics() {
        let bytes = [0u8; 4];
        Mem::new(&bytes, 0).read64(0);
    }

    #[test]
    fn counts_stop_at_the_first_difference_or_limit() {
        let bytes = b"abcabcabd";
        let mem = Mem::new(bytes, 0);
        assert_eq!(mem.count(3, 0, 9), 5);
        assert_eq!(mem.count(3, 0, 5), 2);
        assert_eq!(mem.count(9, 0, 9), 0);
    }

    #[test]
    fn two_segment_counts_continue_into_the_prefix() {
        let ext = b"xyab";
        let prefix = b"abab_";
        let window = Window {
            prefix: Mem::new(prefix, 10),
            ext: Mem::new(ext, 6),
        };
        // "ab" at ext index 8, then the prefix from index 10 continues "ab".
        assert_eq!(window.count_2segments(12, 8, 15, 10, 10), 2);
        assert_eq!(window.count_2segments(10, 8, 15, 10, 10), 4);
    }

    #[test]
    fn hashes_use_the_requested_width() {
        let bytes = [7u8; 16];
        let mem = Mem::new(&bytes, 0);
        for mls in 3..=8 {
            assert!(hash_ptr(&mem, 0, 12, mls) < 1 << 12);
        }
        assert!(hash3_ptr(&mem, 0, 10) < 1 << 10);
        assert_ne!(
            hash_salted(&mem, 0, 16, 5, 1 << 63),
            hash_salted(&mem, 0, 16, 5, 0)
        );
    }

    /// The byte-at-a-time count the word scan must reproduce.
    fn count_bytewise(a: &[u8], b: &[u8]) -> usize {
        a.iter().zip(b).take_while(|(x, y)| x == y).count()
    }

    #[test]
    fn word_counts_match_a_bytewise_scan_at_every_length_and_mismatch() {
        let base: alloc::vec::Vec<u8> = (0..80u8).map(|i| i.wrapping_mul(37)).collect();
        for len in 0..=base.len() {
            let a = &base[..len];
            // Equal throughout, and a difference at every position.
            assert_eq!(count_slices(a, &base), len);
            for at in 0..len {
                let mut b = base.clone();
                b[at] ^= 0x40;
                assert_eq!(
                    count_slices(a, &b),
                    count_bytewise(a, &b),
                    "len {len} at {at}"
                );
            }
            // The shorter side bounds the count.
            assert_eq!(count_slices(&base, a), len);
        }
    }

    #[test]
    fn offset_loads_are_little_endian() {
        let bytes = [1u8, 2, 3, 4, 5, 6, 7, 8, 9];
        assert_eq!(load32(&bytes, 1), 0x0504_0302);
        assert_eq!(load64(&bytes, 1), 0x0908_0706_0504_0302);
    }

    #[test]
    fn window_words_match_offset_loads() {
        let bytes: alloc::vec::Vec<u8> = (0..24u8).map(|i| i.wrapping_mul(53) ^ 0x3C).collect();
        for at in 0..=bytes.len() - 9 {
            let window = window9(&bytes, at);
            assert_eq!(window_word::<0>(window), load64(&bytes, at));
            assert_eq!(window_word::<1>(window), load64(&bytes, at + 1));
        }
    }

    #[test]
    #[should_panic(expected = "out of range")]
    fn windows_past_the_end_panic() {
        window9(&[0u8; 9], 1);
    }

    #[test]
    #[should_panic(expected = "out of range")]
    fn offset_loads_past_the_end_panic() {
        load64(&[0u8; 8], 1);
    }

    #[test]
    fn word_and_offset_hashes_match_the_index_hash() {
        let bytes: alloc::vec::Vec<u8> = (0..32u8).map(|i| i.wrapping_mul(91) ^ 0x5A).collect();
        let mem = Mem::new(&bytes, 100);
        for at in 0..16usize {
            let index = 100 + at as u32;
            let word = load64(&bytes, at);
            assert_eq!(hash_word::<4>(word, 14), hash_ptr(&mem, index, 14, 4));
            assert_eq!(hash_word::<5>(word, 14), hash_ptr(&mem, index, 14, 5));
            assert_eq!(hash_word::<6>(word, 14), hash_ptr(&mem, index, 14, 6));
            assert_eq!(hash_word::<7>(word, 14), hash_ptr(&mem, index, 14, 7));
            assert_eq!(hash_word::<8>(word, 14), hash_ptr(&mem, index, 14, 8));
            assert_eq!(hash_at::<4>(&bytes, at, 13), hash_ptr(&mem, index, 13, 4));
            assert_eq!(hash_at::<5>(&bytes, at, 13), hash_ptr(&mem, index, 13, 5));
            assert_eq!(hash_at::<6>(&bytes, at, 13), hash_ptr(&mem, index, 13, 6));
            assert_eq!(hash_at::<7>(&bytes, at, 13), hash_ptr(&mem, index, 13, 7));
            assert_eq!(hash_at::<8>(&bytes, at, 13), hash_ptr(&mem, index, 13, 8));
        }
    }
}