1 | // Copyright 2018 Developers of the Rand project. |
2 | // |
3 | // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or |
4 | // https://www.apache.org/licenses/LICENSE-2.0> or the MIT license |
5 | // <LICENSE-MIT or https://opensource.org/licenses/MIT>, at your |
6 | // option. This file may not be copied, modified, or distributed |
7 | // except according to those terms. |
8 | |
9 | #[cfg (feature="serde1" )] use serde::{Serialize, Deserialize}; |
10 | use rand_core::impls::fill_bytes_via_next; |
11 | use rand_core::le::read_u64_into; |
12 | use rand_core::{SeedableRng, RngCore, Error}; |
13 | |
14 | use crate::Seed512; |
15 | |
16 | /// A xoshiro512+ random number generator. |
17 | /// |
18 | /// The xoshiro512+ algorithm is not suitable for cryptographic purposes, but |
19 | /// is very fast and has good statistical properties, besides a low linear |
20 | /// complexity in the lowest bits. |
21 | /// |
22 | /// The algorithm used here is translated from [the `xoshiro512plus.c` |
23 | /// reference source code](http://xoshiro.di.unimi.it/xoshiro512plus.c) by |
24 | /// David Blackman and Sebastiano Vigna. |
25 | #[derive (Debug, Clone, PartialEq, Eq)] |
26 | #[cfg_attr (feature="serde1" , derive(Serialize, Deserialize))] |
27 | pub struct Xoshiro512Plus { |
28 | s: [u64; 8], |
29 | } |
30 | |
31 | impl Xoshiro512Plus { |
32 | /// Jump forward, equivalently to 2^256 calls to `next_u64()`. |
33 | /// |
34 | /// This can be used to generate 2^256 non-overlapping subsequences for |
35 | /// parallel computations. |
36 | /// |
37 | /// ``` |
38 | /// use rand_xoshiro::rand_core::SeedableRng; |
39 | /// use rand_xoshiro::Xoshiro512Plus; |
40 | /// |
41 | /// let rng1 = Xoshiro512Plus::seed_from_u64(0); |
42 | /// let mut rng2 = rng1.clone(); |
43 | /// rng2.jump(); |
44 | /// let mut rng3 = rng2.clone(); |
45 | /// rng3.jump(); |
46 | /// ``` |
47 | pub fn jump(&mut self) { |
48 | impl_jump!(u64, self, [ |
49 | 0x33ed89b6e7a353f9, 0x760083d7955323be, 0x2837f2fbb5f22fae, |
50 | 0x4b8c5674d309511c, 0xb11ac47a7ba28c25, 0xf1be7667092bcc1c, |
51 | 0x53851efdb6df0aaf, 0x1ebbc8b23eaf25db |
52 | ]); |
53 | } |
54 | |
55 | /// Jump forward, equivalently to 2^384 calls to `next_u64()`. |
56 | /// |
57 | /// This can be used to generate 2^128 starting points, from each of which |
58 | /// `jump()` will generate 2^128 non-overlapping subsequences for parallel |
59 | /// distributed computations. |
60 | pub fn long_jump(&mut self) { |
61 | impl_jump!(u64, self, [ |
62 | 0x11467fef8f921d28, 0xa2a819f2e79c8ea8, 0xa8299fc284b3959a, |
63 | 0xb4d347340ca63ee1, 0x1cb0940bedbff6ce, 0xd956c5c4fa1f8e17, |
64 | 0x915e38fd4eda93bc, 0x5b3ccdfa5d7daca5 |
65 | ]); |
66 | } |
67 | } |
68 | |
69 | impl SeedableRng for Xoshiro512Plus { |
70 | type Seed = Seed512; |
71 | |
72 | /// Create a new `Xoshiro512Plus`. If `seed` is entirely 0, it will be |
73 | /// mapped to a different seed. |
74 | #[inline ] |
75 | fn from_seed(seed: Seed512) -> Xoshiro512Plus { |
76 | deal_with_zero_seed!(seed, Self); |
77 | let mut state: [u64; 8] = [0; 8]; |
78 | read_u64_into(&seed.0, &mut state); |
79 | Xoshiro512Plus { s: state } |
80 | } |
81 | |
82 | /// Seed a `Xoshiro512Plus` from a `u64` using `SplitMix64`. |
83 | fn seed_from_u64(seed: u64) -> Xoshiro512Plus { |
84 | from_splitmix!(seed) |
85 | } |
86 | } |
87 | |
88 | impl RngCore for Xoshiro512Plus { |
89 | #[inline ] |
90 | fn next_u32(&mut self) -> u32 { |
91 | // The lowest bits have some linear dependencies, so we use the |
92 | // upper bits instead. |
93 | (self.next_u64() >> 32) as u32 |
94 | } |
95 | |
96 | #[inline ] |
97 | fn next_u64(&mut self) -> u64 { |
98 | let result_plus = self.s[0].wrapping_add(self.s[2]); |
99 | impl_xoshiro_large!(self); |
100 | result_plus |
101 | } |
102 | |
103 | #[inline ] |
104 | fn fill_bytes(&mut self, dest: &mut [u8]) { |
105 | fill_bytes_via_next(self, dest); |
106 | } |
107 | |
108 | #[inline ] |
109 | fn try_fill_bytes(&mut self, dest: &mut [u8]) -> Result<(), Error> { |
110 | self.fill_bytes(dest); |
111 | Ok(()) |
112 | } |
113 | } |
114 | |
115 | #[cfg (test)] |
116 | mod tests { |
117 | use super::*; |
118 | |
119 | #[test ] |
120 | fn reference() { |
121 | let mut rng = Xoshiro512Plus::from_seed(Seed512( |
122 | [1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, |
123 | 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, |
124 | 5, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, |
125 | 7, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0])); |
126 | // These values were produced with the reference implementation: |
127 | // http://xoshiro.di.unimi.it/xoshiro512plus.c |
128 | let expected = [ |
129 | 4, 8, 4113, 25169936, 52776585412635, 57174648719367, |
130 | 9223482039571869716, 9331471677901559830, 9340533895746033672, |
131 | 14078399799840753678, |
132 | ]; |
133 | for &e in &expected { |
134 | assert_eq!(rng.next_u64(), e); |
135 | } |
136 | } |
137 | } |
138 | |