diff options
Diffstat (limited to 'rand/rand_pcg/src')
-rw-r--r-- | rand/rand_pcg/src/lib.rs | 48 | ||||
-rw-r--r-- | rand/rand_pcg/src/pcg128.rs | 122 | ||||
-rw-r--r-- | rand/rand_pcg/src/pcg64.rs | 141 |
3 files changed, 311 insertions, 0 deletions
diff --git a/rand/rand_pcg/src/lib.rs b/rand/rand_pcg/src/lib.rs new file mode 100644 index 0000000..5160e87 --- /dev/null +++ b/rand/rand_pcg/src/lib.rs @@ -0,0 +1,48 @@ +// Copyright 2018 Developers of the Rand project. +// +// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or +// https://www.apache.org/licenses/LICENSE-2.0> or the MIT license +// <LICENSE-MIT or https://opensource.org/licenses/MIT>, at your +// option. This file may not be copied, modified, or distributed +// except according to those terms. + +//! The PCG random number generators. +//! +//! This is a native Rust implementation of a small selection of PCG generators. +//! The primary goal of this crate is simple, minimal, well-tested code; in +//! other words it is explicitly not a goal to re-implement all of PCG. +//! +//! This crate provides: +//! +//! - `Pcg32` aka `Lcg64Xsh32`, officially known as `pcg32`, a general +//! purpose RNG. This is a good choice on both 32-bit and 64-bit CPUs +//! (for 32-bit output). +//! - `Pcg64Mcg` aka `Mcg128Xsl64`, officially known as `mcg_xsl_rr_128_64`, +//! a general purpose RNG using 128-bit multiplications. This has poor +//! performance on 32-bit CPUs but is a good choice on 64-bit CPUs for +//! both 32-bit and 64-bit output. (Note: this RNG is only available using +//! Rust 1.26 or later.) +//! +//! Both of these use 16 bytes of state and 128-bit seeds, and are considered +//! value-stable (i.e. any change affecting the output given a fixed seed would +//! be considered a breaking change to the crate). + +#![doc(html_logo_url = "https://www.rust-lang.org/logos/rust-logo-128x128-blk.png", + html_favicon_url = "https://www.rust-lang.org/favicon.ico", + html_root_url = "https://rust-random.github.io/rand/")] + +#![deny(missing_docs)] +#![deny(missing_debug_implementations)] + +#![no_std] + +extern crate rand_core; + +#[cfg(feature="serde1")] extern crate serde; +#[cfg(feature="serde1")] #[macro_use] extern crate serde_derive; + +mod pcg64; +#[cfg(rust_1_26)] mod pcg128; + +pub use self::pcg64::{Pcg32, Lcg64Xsh32}; +#[cfg(rust_1_26)] pub use self::pcg128::{Pcg64Mcg, Mcg128Xsl64}; diff --git a/rand/rand_pcg/src/pcg128.rs b/rand/rand_pcg/src/pcg128.rs new file mode 100644 index 0000000..9aff506 --- /dev/null +++ b/rand/rand_pcg/src/pcg128.rs @@ -0,0 +1,122 @@ +// Copyright 2018 Developers of the Rand project. +// Copyright 2017 Paul Dicker. +// Copyright 2014-2017 Melissa O'Neill and PCG Project contributors +// +// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or +// https://www.apache.org/licenses/LICENSE-2.0> or the MIT license +// <LICENSE-MIT or https://opensource.org/licenses/MIT>, at your +// option. This file may not be copied, modified, or distributed +// except according to those terms. + +//! PCG random number generators + +// This is the default multiplier used by PCG for 64-bit state. +const MULTIPLIER: u128 = 0x2360_ED05_1FC6_5DA4_4385_DF64_9FCC_F645; + +use core::fmt; +use core::mem::transmute; +use rand_core::{RngCore, SeedableRng, Error, le}; + +/// A PCG random number generator (XSL 128/64 (MCG) variant). +/// +/// Permuted Congruential Generator with 128-bit state, internal Multiplicative +/// Congruential Generator, and 64-bit output via "xorshift low (bits), +/// random rotation" output function. +/// +/// This is a 128-bit MCG with the PCG-XSL-RR output function. +/// Note that compared to the standard `pcg64` (128-bit LCG with PCG-XSL-RR +/// output function), this RNG is faster, also has a long cycle, and still has +/// good performance on statistical tests. +/// +/// Note: this RNG is only available using Rust 1.26 or later. +#[derive(Clone)] +#[cfg_attr(feature="serde1", derive(Serialize,Deserialize))] +pub struct Mcg128Xsl64 { + state: u128, +} + +/// A friendly name for `Mcg128Xsl64`. +pub type Pcg64Mcg = Mcg128Xsl64; + +impl Mcg128Xsl64 { + /// Construct an instance compatible with PCG seed. + /// + /// Note that PCG specifies a default value for the parameter: + /// + /// - `state = 0xcafef00dd15ea5e5` + pub fn new(state: u128) -> Self { + // Force low bit to 1, as in C version (C++ uses `state | 3` instead). + Mcg128Xsl64 { state: state | 1 } + } +} + +// Custom Debug implementation that does not expose the internal state +impl fmt::Debug for Mcg128Xsl64 { + fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { + write!(f, "Mcg128Xsl64 {{}}") + } +} + +/// We use a single 126-bit seed to initialise the state and select a stream. +/// Two `seed` bits (lowest order of last byte) are ignored. +impl SeedableRng for Mcg128Xsl64 { + type Seed = [u8; 16]; + + fn from_seed(seed: Self::Seed) -> Self { + // Read as if a little-endian u128 value: + let mut seed_u64 = [0u64; 2]; + le::read_u64_into(&seed, &mut seed_u64); + let state = (seed_u64[0] as u128) | + (seed_u64[1] as u128) << 64; + Mcg128Xsl64::new(state) + } +} + +impl RngCore for Mcg128Xsl64 { + #[inline] + fn next_u32(&mut self) -> u32 { + self.next_u64() as u32 + } + + #[inline] + fn next_u64(&mut self) -> u64 { + // prepare the LCG for the next round + let state = self.state.wrapping_mul(MULTIPLIER); + self.state = state; + + // Output function XSL RR ("xorshift low (bits), random rotation") + // Constants are for 128-bit state, 64-bit output + const XSHIFT: u32 = 64; // (128 - 64 + 64) / 2 + const ROTATE: u32 = 122; // 128 - 6 + + let rot = (state >> ROTATE) as u32; + let xsl = ((state >> XSHIFT) as u64) ^ (state as u64); + xsl.rotate_right(rot) + } + + #[inline] + fn fill_bytes(&mut self, dest: &mut [u8]) { + // specialisation of impls::fill_bytes_via_next; approx 3x faster + let mut left = dest; + while left.len() >= 8 { + let (l, r) = {left}.split_at_mut(8); + left = r; + let chunk: [u8; 8] = unsafe { + transmute(self.next_u64().to_le()) + }; + l.copy_from_slice(&chunk); + } + let n = left.len(); + if n > 0 { + let chunk: [u8; 8] = unsafe { + transmute(self.next_u64().to_le()) + }; + left.copy_from_slice(&chunk[..n]); + } + } + + #[inline] + fn try_fill_bytes(&mut self, dest: &mut [u8]) -> Result<(), Error> { + Ok(self.fill_bytes(dest)) + } +} diff --git a/rand/rand_pcg/src/pcg64.rs b/rand/rand_pcg/src/pcg64.rs new file mode 100644 index 0000000..9177ec2 --- /dev/null +++ b/rand/rand_pcg/src/pcg64.rs @@ -0,0 +1,141 @@ +// Copyright 2018 Developers of the Rand project. +// Copyright 2017 Paul Dicker. +// Copyright 2014-2017 Melissa O'Neill and PCG Project contributors +// +// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or +// https://www.apache.org/licenses/LICENSE-2.0> or the MIT license +// <LICENSE-MIT or https://opensource.org/licenses/MIT>, at your +// option. This file may not be copied, modified, or distributed +// except according to those terms. + +//! PCG random number generators + +use core::fmt; +use core::mem::transmute; +use rand_core::{RngCore, SeedableRng, Error, le, impls}; + +// This is the default multiplier used by PCG for 64-bit state. +const MULTIPLIER: u64 = 6364136223846793005; + +/// A PCG random number generator (XSH RR 64/32 (LCG) variant). +/// +/// Permuted Congruential Generator with 64-bit state, internal Linear +/// Congruential Generator, and 32-bit output via "xorshift high (bits), +/// random rotation" output function. +/// +/// This is a 64-bit LCG with explicitly chosen stream with the PCG-XSH-RR +/// output function. This combination is the standard `pcg32`. +/// +/// Despite the name, this implementation uses 16 bytes (128 bit) space +/// comprising 64 bits of state and 64 bits stream selector. These are both set +/// by `SeedableRng`, using a 128-bit seed. +#[derive(Clone)] +#[cfg_attr(feature="serde1", derive(Serialize,Deserialize))] +pub struct Lcg64Xsh32 { + state: u64, + increment: u64, +} + +/// `Lcg64Xsh32` is also officially known as `pcg32`. +pub type Pcg32 = Lcg64Xsh32; + +impl Lcg64Xsh32 { + /// Construct an instance compatible with PCG seed and stream. + /// + /// Note that PCG specifies default values for both parameters: + /// + /// - `state = 0xcafef00dd15ea5e5` + /// - `stream = 721347520444481703` + pub fn new(state: u64, stream: u64) -> Self { + // The increment must be odd, hence we discard one bit: + let increment = (stream << 1) | 1; + Lcg64Xsh32::from_state_incr(state, increment) + } + + #[inline] + fn from_state_incr(state: u64, increment: u64) -> Self { + let mut pcg = Lcg64Xsh32 { state, increment }; + // Move away from inital value: + pcg.state = pcg.state.wrapping_add(pcg.increment); + pcg.step(); + pcg + } + + #[inline] + fn step(&mut self) { + // prepare the LCG for the next round + self.state = self.state + .wrapping_mul(MULTIPLIER) + .wrapping_add(self.increment); + } +} + +// Custom Debug implementation that does not expose the internal state +impl fmt::Debug for Lcg64Xsh32 { + fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { + write!(f, "Lcg64Xsh32 {{}}") + } +} + +/// We use a single 127-bit seed to initialise the state and select a stream. +/// One `seed` bit (lowest bit of `seed[8]`) is ignored. +impl SeedableRng for Lcg64Xsh32 { + type Seed = [u8; 16]; + + fn from_seed(seed: Self::Seed) -> Self { + let mut seed_u64 = [0u64; 2]; + le::read_u64_into(&seed, &mut seed_u64); + + // The increment must be odd, hence we discard one bit: + Lcg64Xsh32::from_state_incr(seed_u64[0], seed_u64[1] | 1) + } +} + +impl RngCore for Lcg64Xsh32 { + #[inline] + fn next_u32(&mut self) -> u32 { + let state = self.state; + self.step(); + + // Output function XSH RR: xorshift high (bits), followed by a random rotate + // Constants are for 64-bit state, 32-bit output + const ROTATE: u32 = 59; // 64 - 5 + const XSHIFT: u32 = 18; // (5 + 32) / 2 + const SPARE: u32 = 27; // 64 - 32 - 5 + + let rot = (state >> ROTATE) as u32; + let xsh = (((state >> XSHIFT) ^ state) >> SPARE) as u32; + xsh.rotate_right(rot) + } + + #[inline] + fn next_u64(&mut self) -> u64 { + impls::next_u64_via_u32(self) + } + + #[inline] + fn fill_bytes(&mut self, dest: &mut [u8]) { + // specialisation of impls::fill_bytes_via_next; approx 40% faster + let mut left = dest; + while left.len() >= 4 { + let (l, r) = {left}.split_at_mut(4); + left = r; + let chunk: [u8; 4] = unsafe { + transmute(self.next_u32().to_le()) + }; + l.copy_from_slice(&chunk); + } + let n = left.len(); + if n > 0 { + let chunk: [u8; 4] = unsafe { + transmute(self.next_u32().to_le()) + }; + left.copy_from_slice(&chunk[..n]); + } + } + + #[inline] + fn try_fill_bytes(&mut self, dest: &mut [u8]) -> Result<(), Error> { + Ok(self.fill_bytes(dest)) + } +} |