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rustc_hash/
lib.rs

1//! A speedy, non-cryptographic hashing algorithm used by `rustc`.
2//!
3//! # Example
4//!
5//! ```rust
6//! # #[cfg(feature = "std")]
7//! # fn main() {
8//! use rustc_hash::FxHashMap;
9//!
10//! let mut map: FxHashMap<u32, u32> = FxHashMap::default();
11//! map.insert(22, 44);
12//! # }
13//! # #[cfg(not(feature = "std"))]
14//! # fn main() { }
15//! ```
16
17#![no_std]
18#![cfg_attr(feature = "nightly", feature(const_default))]
19#![cfg_attr(feature = "nightly", feature(const_trait_impl))]
20#![cfg_attr(feature = "nightly", feature(derive_const))]
21#![cfg_attr(feature = "nightly", feature(hasher_prefixfree_extras))]
22#![allow(rustc::default_hash_types)]
23
24#[cfg(feature = "std")]
25extern crate std;
26
27#[cfg(feature = "rand")]
28extern crate rand;
29
30#[cfg(feature = "rand")]
31mod random_state;
32
33mod seeded_state;
34
35use core::default::Default;
36use core::hash::{BuildHasher, Hasher};
37#[cfg(feature = "std")]
38use std::collections::{HashMap, HashSet};
39
40/// Type alias for a hash map that uses the Fx hashing algorithm.
41#[cfg(feature = "std")]
42pub type FxHashMap<K, V> = HashMap<K, V, FxBuildHasher>;
43
44/// Type alias for a hash set that uses the Fx hashing algorithm.
45#[cfg(feature = "std")]
46pub type FxHashSet<V> = HashSet<V, FxBuildHasher>;
47
48#[cfg(feature = "rand")]
49pub use random_state::{FxHashMapRand, FxHashSetRand, FxRandomState};
50
51pub use seeded_state::FxSeededState;
52#[cfg(feature = "std")]
53pub use seeded_state::{FxHashMapSeed, FxHashSetSeed};
54
55/// A speedy hash algorithm for use within rustc. The hashmap in liballoc
56/// by default uses SipHash which isn't quite as speedy as we want. In the
57/// compiler we're not really worried about DOS attempts, so we use a fast
58/// non-cryptographic hash.
59///
60/// The current implementation is a fast polynomial hash with a single
61/// bit rotation as a finishing step designed by Orson Peters.
62#[derive(Clone)]
63#[cfg_attr(not(feature = "nightly"), derive(Default))]
64#[cfg_attr(feature = "nightly", derive_const(Default))]
65pub struct FxHasher {
66    hash: usize,
67}
68
69// One might view a polynomial hash
70//    m[0] * k    + m[1] * k^2  + m[2] * k^3  + ...
71// as a multilinear hash with keystream k[..]
72//    m[0] * k[0] + m[1] * k[1] + m[2] * k[2] + ...
73// where keystream k just happens to be generated using a multiplicative
74// congruential pseudorandom number generator (MCG). For that reason we chose a
75// constant that was found to be good for a MCG in:
76//     "Computationally Easy, Spectrally Good Multipliers for Congruential
77//     Pseudorandom Number Generators" by Guy Steele and Sebastiano Vigna.
78#[cfg(target_pointer_width = "64")]
79const K: usize = 0xf1357aea2e62a9c5;
80#[cfg(target_pointer_width = "32")]
81const K: usize = 0x93d765dd;
82
83impl FxHasher {
84    /// Creates a `fx` hasher with a given seed.
85    pub const fn with_seed(seed: usize) -> FxHasher {
86        FxHasher { hash: seed }
87    }
88
89    /// Creates a default `fx` hasher.
90    pub const fn default() -> FxHasher {
91        FxHasher { hash: 0 }
92    }
93}
94
95impl FxHasher {
96    #[inline]
97    fn add_to_hash(&mut self, i: usize) {
98        self.hash = self.hash.wrapping_add(i).wrapping_mul(K);
99    }
100}
101
102impl Hasher for FxHasher {
103    #[inline]
104    fn write(&mut self, bytes: &[u8]) {
105        // Compress the byte string to a single u64 and add to our hash.
106        self.write_u64(hash_bytes(bytes));
107    }
108
109    #[inline]
110    fn write_u8(&mut self, i: u8) {
111        self.add_to_hash(i as usize);
112    }
113
114    #[inline]
115    fn write_u16(&mut self, i: u16) {
116        self.add_to_hash(i as usize);
117    }
118
119    #[inline]
120    fn write_u32(&mut self, i: u32) {
121        self.add_to_hash(i as usize);
122    }
123
124    #[inline]
125    fn write_u64(&mut self, i: u64) {
126        self.add_to_hash(i as usize);
127        #[cfg(target_pointer_width = "32")]
128        self.add_to_hash((i >> 32) as usize);
129    }
130
131    #[inline]
132    fn write_u128(&mut self, i: u128) {
133        self.add_to_hash(i as usize);
134        #[cfg(target_pointer_width = "32")]
135        self.add_to_hash((i >> 32) as usize);
136        self.add_to_hash((i >> 64) as usize);
137        #[cfg(target_pointer_width = "32")]
138        self.add_to_hash((i >> 96) as usize);
139    }
140
141    #[inline]
142    fn write_usize(&mut self, i: usize) {
143        self.add_to_hash(i);
144    }
145
146    #[cfg(feature = "nightly")]
147    #[inline]
148    fn write_length_prefix(&mut self, _len: usize) {
149        // Most cases will specialize hash_slice to call write(), which encodes
150        // the length already in a more efficient manner than we could here. For
151        // HashDoS-resistance you would still need to include this for the
152        // non-slice collection hashes, but for the purposes of rustc we do not
153        // care and do not wish to pay the performance penalty of mixing in len
154        // for those collections.
155    }
156
157    #[cfg(feature = "nightly")]
158    #[inline]
159    fn write_str(&mut self, s: &str) {
160        // Similarly here, write already encodes the length, so nothing special
161        // is needed.
162        self.write(s.as_bytes())
163    }
164
165    #[inline]
166    fn finish(&self) -> u64 {
167        // Since we used a multiplicative hash our top bits have the most
168        // entropy (with the top bit having the most, decreasing as you go).
169        // As most hash table implementations (including hashbrown) compute
170        // the bucket index from the bottom bits we want to move bits from the
171        // top to the bottom. Ideally we'd rotate left by exactly the hash table
172        // size, but as we don't know this we'll choose 26 bits, giving decent
173        // entropy up until 2^26 table sizes. On 32-bit hosts we'll dial it
174        // back down a bit to 15 bits.
175
176        #[cfg(target_pointer_width = "64")]
177        const ROTATE: u32 = 26;
178        #[cfg(target_pointer_width = "32")]
179        const ROTATE: u32 = 15;
180
181        self.hash.rotate_left(ROTATE) as u64
182
183        // A bit reversal would be even better, except hashbrown also expects
184        // good entropy in the top 7 bits and a bit reverse would fill those
185        // bits with low entropy. More importantly, bit reversals are very slow
186        // on x86-64. A byte reversal is relatively fast, but still has a 2
187        // cycle latency on x86-64 compared to the 1 cycle latency of a rotate.
188        // It also suffers from the hashbrown-top-7-bit-issue.
189    }
190}
191
192// Nothing special, digits of pi.
193const SEED1: u64 = 0x243f6a8885a308d3;
194const SEED2: u64 = 0x13198a2e03707344;
195const PREVENT_TRIVIAL_ZERO_COLLAPSE: u64 = 0xa4093822299f31d0;
196
197#[inline]
198fn multiply_mix(x: u64, y: u64) -> u64 {
199    // The following code path is only fast if 64-bit to 128-bit widening
200    // multiplication is supported by the architecture. Most 64-bit
201    // architectures except SPARC64 and Wasm64 support it. However, the target
202    // pointer width doesn't always indicate that we are dealing with a 64-bit
203    // architecture, as there are ABIs that reduce the pointer width, especially
204    // on AArch64 and x86-64. WebAssembly (regardless of pointer width) supports
205    // 64-bit to 128-bit widening multiplication with the `wide-arithmetic`
206    // proposal.
207    if cfg!(any(
208        all(
209            target_pointer_width = "64",
210            not(any(target_arch = "sparc64", target_arch = "wasm64")),
211        ),
212        target_arch = "aarch64",
213        target_arch = "x86_64",
214        all(target_family = "wasm", target_feature = "wide-arithmetic"),
215    )) {
216        // We compute the full u64 x u64 -> u128 product, this is a single mul
217        // instruction on x86-64, one mul plus one mulhi on ARM64.
218        let full = (x as u128).wrapping_mul(y as u128);
219        let lo = full as u64;
220        let hi = (full >> 64) as u64;
221
222        // The middle bits of the full product fluctuate the most with small
223        // changes in the input. This is the top bits of lo and the bottom bits
224        // of hi. We can thus make the entire output fluctuate with small
225        // changes to the input by XOR'ing these two halves.
226        lo ^ hi
227
228        // Unfortunately both 2^64 + 1 and 2^64 - 1 have small prime factors,
229        // otherwise combining with + or - could result in a really strong hash, as:
230        //     x * y = 2^64 * hi + lo = (-1) * hi + lo = lo - hi,   (mod 2^64 + 1)
231        //     x * y = 2^64 * hi + lo =    1 * hi + lo = lo + hi,   (mod 2^64 - 1)
232        // Multiplicative hashing is universal in a field (like mod p).
233    } else {
234        // u64 x u64 -> u128 product is prohibitively expensive on 32-bit.
235        // Decompose into 32-bit parts.
236        let lx = x as u32;
237        let ly = y as u32;
238        let hx = (x >> 32) as u32;
239        let hy = (y >> 32) as u32;
240
241        // u32 x u32 -> u64 the low bits of one with the high bits of the other.
242        let afull = (lx as u64).wrapping_mul(hy as u64);
243        let bfull = (hx as u64).wrapping_mul(ly as u64);
244
245        // Combine, swapping low/high of one of them so the upper bits of the
246        // product of one combine with the lower bits of the other.
247        afull ^ bfull.rotate_right(32)
248    }
249}
250
251/// A wyhash-inspired non-collision-resistant hash for strings/slices designed
252/// by Orson Peters, with a focus on small strings and small codesize.
253///
254/// The 64-bit version of this hash passes the SMHasher3 test suite on the full
255/// 64-bit output, that is, f(hash_bytes(b) ^ f(seed)) for some good avalanching
256/// permutation f() passed all tests with zero failures. When using the 32-bit
257/// version of multiply_mix this hash has a few non-catastrophic failures where
258/// there are a handful more collisions than an optimal hash would give.
259///
260/// We don't bother avalanching here as we'll feed this hash into a
261/// multiplication after which we take the high bits, which avalanches for us.
262#[inline]
263fn hash_bytes(bytes: &[u8]) -> u64 {
264    let len = bytes.len();
265    let mut s0 = SEED1;
266    let mut s1 = SEED2;
267
268    if len <= 16 {
269        // XOR the input into s0, s1.
270        if len >= 8 {
271            s0 ^= u64::from_le_bytes(bytes[0..8].try_into().unwrap());
272            s1 ^= u64::from_le_bytes(bytes[len - 8..].try_into().unwrap());
273        } else if len >= 4 {
274            s0 ^= u32::from_le_bytes(bytes[0..4].try_into().unwrap()) as u64;
275            s1 ^= u32::from_le_bytes(bytes[len - 4..].try_into().unwrap()) as u64;
276        } else if len > 0 {
277            let lo = bytes[0];
278            let mid = bytes[len / 2];
279            let hi = bytes[len - 1];
280            s0 ^= lo as u64;
281            s1 ^= ((hi as u64) << 8) | mid as u64;
282        }
283    } else {
284        // Handle bulk (can partially overlap with suffix).
285        let mut bulk = &bytes[..(len - 1)];
286        while let Some((chunk, rest)) = bulk.split_first_chunk::<16>() {
287            let x = u64::from_le_bytes((&chunk[..8]).try_into().unwrap());
288            let y = u64::from_le_bytes((&chunk[8..]).try_into().unwrap());
289
290            // Replace s1 with a mix of s0, x, and y, and s0 with s1.
291            // This ensures the compiler can unroll this loop into two
292            // independent streams, one operating on s0, the other on s1.
293            //
294            // Since zeroes are a common input we prevent an immediate trivial
295            // collapse of the hash function by XOR'ing a constant with y.
296            let t = multiply_mix(s0 ^ x, PREVENT_TRIVIAL_ZERO_COLLAPSE ^ y);
297            s0 = s1;
298            s1 = t;
299            bulk = rest;
300        }
301
302        let suffix = &bytes[len - 16..];
303        s0 ^= u64::from_le_bytes(suffix[0..8].try_into().unwrap());
304        s1 ^= u64::from_le_bytes(suffix[8..16].try_into().unwrap());
305    }
306
307    multiply_mix(s0, s1) ^ (len as u64)
308}
309
310/// An implementation of [`BuildHasher`] that produces [`FxHasher`]s.
311///
312/// ```
313/// use std::hash::BuildHasher;
314/// use rustc_hash::FxBuildHasher;
315/// assert_ne!(FxBuildHasher.hash_one(1), FxBuildHasher.hash_one(2));
316/// ```
317#[derive(Copy, Clone)]
318#[cfg_attr(not(feature = "nightly"), derive(Default))]
319#[cfg_attr(feature = "nightly", derive_const(Default))]
320pub struct FxBuildHasher;
321
322impl BuildHasher for FxBuildHasher {
323    type Hasher = FxHasher;
324    fn build_hasher(&self) -> FxHasher {
325        FxHasher::default()
326    }
327}
328
329#[cfg(test)]
330mod tests {
331    #[cfg(not(any(target_pointer_width = "64", target_pointer_width = "32")))]
332    compile_error!("The test suite only supports 64 bit and 32 bit usize");
333
334    use crate::{FxBuildHasher, FxHasher};
335    use core::hash::{BuildHasher, Hash, Hasher};
336
337    macro_rules! test_hash {
338        (
339            $(
340                hash($value:expr) == $result:expr,
341            )*
342        ) => {
343            $(
344                assert_eq!(FxBuildHasher.hash_one($value), $result);
345            )*
346        };
347    }
348
349    const B32: bool = cfg!(target_pointer_width = "32");
350
351    #[test]
352    fn unsigned() {
353        test_hash! {
354            hash(0_u8) == 0,
355            hash(1_u8) == if B32 { 3001993707 } else { 12157901119326311915 },
356            hash(100_u8) == if B32 { 3844759569 } else { 16751747135202103309 },
357            hash(u8::MAX) == if B32 { 999399879 } else { 1211781028898739645 },
358
359            hash(0_u16) == 0,
360            hash(1_u16) == if B32 { 3001993707 } else { 12157901119326311915 },
361            hash(100_u16) == if B32 { 3844759569 } else { 16751747135202103309 },
362            hash(u16::MAX) == if B32 { 3440503042 } else { 16279819243059860173 },
363
364            hash(0_u32) == 0,
365            hash(1_u32) == if B32 { 3001993707 } else { 12157901119326311915 },
366            hash(100_u32) == if B32 { 3844759569 } else { 16751747135202103309 },
367            hash(u32::MAX) == if B32 { 1293006356 } else { 7729994835221066939 },
368
369            hash(0_u64) == 0,
370            hash(1_u64) == if B32 { 275023839 } else { 12157901119326311915 },
371            hash(100_u64) == if B32 { 1732383522 } else { 16751747135202103309 },
372            hash(u64::MAX) == if B32 { 1017982517 } else { 6288842954450348564 },
373
374            hash(0_u128) == 0,
375            hash(1_u128) == if B32 { 1860738631 } else { 13032756267696824044 },
376            hash(100_u128) == if B32 { 1389515751 } else { 12003541609544029302 },
377            hash(u128::MAX) == if B32 { 2156022013 } else { 11702830760530184999 },
378
379            hash(0_usize) == 0,
380            hash(1_usize) == if B32 { 3001993707 } else { 12157901119326311915 },
381            hash(100_usize) == if B32 { 3844759569 } else { 16751747135202103309 },
382            hash(usize::MAX) == if B32 { 1293006356 } else { 6288842954450348564 },
383        }
384    }
385
386    #[test]
387    fn signed() {
388        test_hash! {
389            hash(i8::MIN) == if B32 { 2000713177 } else { 6684841074112525780 },
390            hash(0_i8) == 0,
391            hash(1_i8) == if B32 { 3001993707 } else { 12157901119326311915 },
392            hash(100_i8) == if B32 { 3844759569 } else { 16751747135202103309 },
393            hash(i8::MAX) == if B32 { 3293686765 } else { 12973684028562874344 },
394
395            hash(i16::MIN) == if B32 { 1073764727 } else { 14218860181193086044 },
396            hash(0_i16) == 0,
397            hash(1_i16) == if B32 { 3001993707 } else { 12157901119326311915 },
398            hash(100_i16) == if B32 { 3844759569 } else { 16751747135202103309 },
399            hash(i16::MAX) == if B32 { 2366738315 } else { 2060959061933882993 },
400
401            hash(i32::MIN) == if B32 { 16384 } else { 9943947977240134995 },
402            hash(0_i32) == 0,
403            hash(1_i32) == if B32 { 3001993707 } else { 12157901119326311915 },
404            hash(100_i32) == if B32 { 3844759569 } else { 16751747135202103309 },
405            hash(i32::MAX) == if B32 { 1293022740 } else { 16232790931690483559 },
406
407            hash(i64::MIN) == if B32 { 16384 } else { 33554432 },
408            hash(0_i64) == 0,
409            hash(1_i64) == if B32 { 275023839 } else { 12157901119326311915 },
410            hash(100_i64) == if B32 { 1732383522 } else { 16751747135202103309 },
411            hash(i64::MAX) == if B32 { 1017998901 } else { 6288842954483902996 },
412
413            hash(i128::MIN) == if B32 { 16384 } else { 33554432 },
414            hash(0_i128) == 0,
415            hash(1_i128) == if B32 { 1860738631 } else { 13032756267696824044 },
416            hash(100_i128) == if B32 { 1389515751 } else { 12003541609544029302 },
417            hash(i128::MAX) == if B32 { 2156005629 } else { 11702830760496630567 },
418
419            hash(isize::MIN) == if B32 { 16384 } else { 33554432 },
420            hash(0_isize) == 0,
421            hash(1_isize) == if B32 { 3001993707 } else { 12157901119326311915 },
422            hash(100_isize) == if B32 { 3844759569 } else { 16751747135202103309 },
423            hash(isize::MAX) == if B32 { 1293022740 } else { 6288842954483902996 },
424        }
425    }
426
427    // Avoid relying on any `Hash` implementations in the standard library.
428    struct HashBytes(&'static [u8]);
429    impl Hash for HashBytes {
430        fn hash<H: core::hash::Hasher>(&self, state: &mut H) {
431            state.write(self.0);
432        }
433    }
434
435    #[test]
436    fn bytes() {
437        test_hash! {
438            hash(HashBytes(&[])) == if B32 { 2673204745 } else { 17606491139363777937 },
439            hash(HashBytes(&[0])) == if B32 { 2948228584 } else { 5448590020104574886 },
440            hash(HashBytes(&[0, 0, 0, 0, 0, 0])) == if B32 { 3223252423 } else { 16766921560080789783 },
441            hash(HashBytes(&[1])) == if B32 { 2943445104 } else { 5922447956811044110 },
442            hash(HashBytes(&[2])) == if B32 { 1055423297 } else { 5229781508510959783 },
443            hash(HashBytes(b"uwu")) == if B32 { 2699662140 } else { 7168164714682931527 },
444            hash(HashBytes(b"These are some bytes for testing rustc_hash.")) == if B32 { 2303640537 } else { 2349210501944688211 },
445        }
446    }
447
448    #[test]
449    fn with_seed_actually_different() {
450        let seeds = [
451            [1, 2],
452            [42, 17],
453            [124436707, 99237],
454            [usize::MIN, usize::MAX],
455        ];
456
457        for [a_seed, b_seed] in seeds {
458            let a = || FxHasher::with_seed(a_seed);
459            let b = || FxHasher::with_seed(b_seed);
460
461            for x in u8::MIN..=u8::MAX {
462                let mut a = a();
463                let mut b = b();
464
465                x.hash(&mut a);
466                x.hash(&mut b);
467
468                assert_ne!(a.finish(), b.finish())
469            }
470        }
471    }
472}