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+// Copyright 2018 Developers of the Rand project.
+// Copyright 2017-2018 The Rust Project Developers.
+//
+// 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.
+
+//! Random number generation traits
+//!
+//! This crate is mainly of interest to crates publishing implementations of
+//! [`RngCore`]. Other users are encouraged to use the [rand] crate instead
+//! which re-exports the main traits and error types.
+//!
+//! [`RngCore`] is the core trait implemented by algorithmic pseudo-random number
+//! generators and external random-number sources.
+//!
+//! [`SeedableRng`] is an extension trait for construction from fixed seeds and
+//! other random number generators.
+//!
+//! [`Error`] is provided for error-handling. It is safe to use in `no_std`
+//! environments.
+//!
+//! The [`impls`] and [`le`] sub-modules include a few small functions to assist
+//! implementation of [`RngCore`].
+//!
+//! [rand]: https://crates.io/crates/rand
+//! [`RngCore`]: trait.RngCore.html
+//! [`SeedableRng`]: trait.SeedableRng.html
+//! [`Error`]: struct.Error.html
+//! [`impls`]: impls/index.html
+//! [`le`]: le/index.html
+
+#![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)]
+#![doc(test(attr(allow(unused_variables), deny(warnings))))]
+
+#![cfg_attr(not(feature="std"), no_std)]
+#![cfg_attr(all(feature="alloc", not(feature="std")), feature(alloc))]
+
+#[cfg(feature="std")] extern crate core;
+#[cfg(all(feature = "alloc", not(feature="std")))] extern crate alloc;
+#[cfg(feature="serde1")] extern crate serde;
+#[cfg(feature="serde1")] #[macro_use] extern crate serde_derive;
+
+
+use core::default::Default;
+use core::convert::AsMut;
+use core::ptr::copy_nonoverlapping;
+
+#[cfg(all(feature="alloc", not(feature="std")))] use alloc::boxed::Box;
+
+pub use error::{ErrorKind, Error};
+
+
+mod error;
+pub mod block;
+pub mod impls;
+pub mod le;
+
+
+/// The core of a random number generator.
+///
+/// This trait encapsulates the low-level functionality common to all
+/// generators, and is the "back end", to be implemented by generators.
+/// End users should normally use [`Rng`] from the [rand] crate, which is
+/// automatically implemented for every type implementing `RngCore`.
+///
+/// Three different methods for generating random data are provided since the
+/// optimal implementation of each is dependent on the type of generator. There
+/// is no required relationship between the output of each; e.g. many
+/// implementations of [`fill_bytes`] consume a whole number of `u32` or `u64`
+/// values and drop any remaining unused bytes.
+///
+/// The [`try_fill_bytes`] method is a variant of [`fill_bytes`] allowing error
+/// handling; it is not deemed sufficiently useful to add equivalents for
+/// [`next_u32`] or [`next_u64`] since the latter methods are almost always used
+/// with algorithmic generators (PRNGs), which are normally infallible.
+///
+/// Algorithmic generators implementing [`SeedableRng`] should normally have
+/// *portable, reproducible* output, i.e. fix Endianness when converting values
+/// to avoid platform differences, and avoid making any changes which affect
+/// output (except by communicating that the release has breaking changes).
+///
+/// Typically implementators will implement only one of the methods available
+/// in this trait directly, then use the helper functions from the
+/// [`rand_core::impls`] module to implement the other methods.
+///
+/// It is recommended that implementations also implement:
+///
+/// - `Debug` with a custom implementation which *does not* print any internal
+/// state (at least, [`CryptoRng`]s should not risk leaking state through
+/// `Debug`).
+/// - `Serialize` and `Deserialize` (from Serde), preferably making Serde
+/// support optional at the crate level in PRNG libs.
+/// - `Clone`, if possible.
+/// - *never* implement `Copy` (accidental copies may cause repeated values).
+/// - *do not* implement `Default` for pseudorandom generators, but instead
+/// implement [`SeedableRng`], to guide users towards proper seeding.
+/// External / hardware RNGs can choose to implement `Default`.
+/// - `Eq` and `PartialEq` could be implemented, but are probably not useful.
+///
+/// # Example
+///
+/// A simple example, obviously not generating very *random* output:
+///
+/// ```
+/// #![allow(dead_code)]
+/// use rand_core::{RngCore, Error, impls};
+///
+/// struct CountingRng(u64);
+///
+/// impl RngCore for CountingRng {
+/// fn next_u32(&mut self) -> u32 {
+/// self.next_u64() as u32
+/// }
+///
+/// fn next_u64(&mut self) -> u64 {
+/// self.0 += 1;
+/// self.0
+/// }
+///
+/// fn fill_bytes(&mut self, dest: &mut [u8]) {
+/// impls::fill_bytes_via_next(self, dest)
+/// }
+///
+/// fn try_fill_bytes(&mut self, dest: &mut [u8]) -> Result<(), Error> {
+/// Ok(self.fill_bytes(dest))
+/// }
+/// }
+/// ```
+///
+/// [rand]: https://crates.io/crates/rand
+/// [`Rng`]: ../rand/trait.Rng.html
+/// [`SeedableRng`]: trait.SeedableRng.html
+/// [`rand_core::impls`]: ../rand_core/impls/index.html
+/// [`try_fill_bytes`]: trait.RngCore.html#tymethod.try_fill_bytes
+/// [`fill_bytes`]: trait.RngCore.html#tymethod.fill_bytes
+/// [`next_u32`]: trait.RngCore.html#tymethod.next_u32
+/// [`next_u64`]: trait.RngCore.html#tymethod.next_u64
+/// [`CryptoRng`]: trait.CryptoRng.html
+pub trait RngCore {
+ /// Return the next random `u32`.
+ ///
+ /// RNGs must implement at least one method from this trait directly. In
+ /// the case this method is not implemented directly, it can be implemented
+ /// using `self.next_u64() as u32` or
+ /// [via `fill_bytes`](../rand_core/impls/fn.next_u32_via_fill.html).
+ fn next_u32(&mut self) -> u32;
+
+ /// Return the next random `u64`.
+ ///
+ /// RNGs must implement at least one method from this trait directly. In
+ /// the case this method is not implemented directly, it can be implemented
+ /// [via `next_u32`](../rand_core/impls/fn.next_u64_via_u32.html) or
+ /// [via `fill_bytes`](../rand_core/impls/fn.next_u64_via_fill.html).
+ fn next_u64(&mut self) -> u64;
+
+ /// Fill `dest` with random data.
+ ///
+ /// RNGs must implement at least one method from this trait directly. In
+ /// the case this method is not implemented directly, it can be implemented
+ /// [via `next_u*`](../rand_core/impls/fn.fill_bytes_via_next.html) or
+ /// via `try_fill_bytes`; if this generator can fail the implementation
+ /// must choose how best to handle errors here (e.g. panic with a
+ /// descriptive message or log a warning and retry a few times).
+ ///
+ /// This method should guarantee that `dest` is entirely filled
+ /// with new data, and may panic if this is impossible
+ /// (e.g. reading past the end of a file that is being used as the
+ /// source of randomness).
+ fn fill_bytes(&mut self, dest: &mut [u8]);
+
+ /// Fill `dest` entirely with random data.
+ ///
+ /// This is the only method which allows an RNG to report errors while
+ /// generating random data thus making this the primary method implemented
+ /// by external (true) RNGs (e.g. `OsRng`) which can fail. It may be used
+ /// directly to generate keys and to seed (infallible) PRNGs.
+ ///
+ /// Other than error handling, this method is identical to [`fill_bytes`];
+ /// thus this may be implemented using `Ok(self.fill_bytes(dest))` or
+ /// `fill_bytes` may be implemented with
+ /// `self.try_fill_bytes(dest).unwrap()` or more specific error handling.
+ ///
+ /// [`fill_bytes`]: trait.RngCore.html#method.fill_bytes
+ fn try_fill_bytes(&mut self, dest: &mut [u8]) -> Result<(), Error>;
+}
+
+/// A marker trait used to indicate that an [`RngCore`] or [`BlockRngCore`]
+/// implementation is supposed to be cryptographically secure.
+///
+/// *Cryptographically secure generators*, also known as *CSPRNGs*, should
+/// satisfy an additional properties over other generators: given the first
+/// *k* bits of an algorithm's output
+/// sequence, it should not be possible using polynomial-time algorithms to
+/// predict the next bit with probability significantly greater than 50%.
+///
+/// Some generators may satisfy an additional property, however this is not
+/// required by this trait: if the CSPRNG's state is revealed, it should not be
+/// computationally-feasible to reconstruct output prior to this. Some other
+/// generators allow backwards-computation and are consided *reversible*.
+///
+/// Note that this trait is provided for guidance only and cannot guarantee
+/// suitability for cryptographic applications. In general it should only be
+/// implemented for well-reviewed code implementing well-regarded algorithms.
+///
+/// Note also that use of a `CryptoRng` does not protect against other
+/// weaknesses such as seeding from a weak entropy source or leaking state.
+///
+/// [`RngCore`]: trait.RngCore.html
+/// [`BlockRngCore`]: ../rand_core/block/trait.BlockRngCore.html
+pub trait CryptoRng {}
+
+/// A random number generator that can be explicitly seeded.
+///
+/// This trait encapsulates the low-level functionality common to all
+/// pseudo-random number generators (PRNGs, or algorithmic generators).
+///
+/// The [`rand::FromEntropy`] trait is automatically implemented for every type
+/// implementing `SeedableRng`, providing a convenient `from_entropy()`
+/// constructor.
+///
+/// [`rand::FromEntropy`]: ../rand/trait.FromEntropy.html
+pub trait SeedableRng: Sized {
+ /// Seed type, which is restricted to types mutably-dereferencable as `u8`
+ /// arrays (we recommend `[u8; N]` for some `N`).
+ ///
+ /// It is recommended to seed PRNGs with a seed of at least circa 100 bits,
+ /// which means an array of `[u8; 12]` or greater to avoid picking RNGs with
+ /// partially overlapping periods.
+ ///
+ /// For cryptographic RNG's a seed of 256 bits is recommended, `[u8; 32]`.
+ ///
+ ///
+ /// # Implementing `SeedableRng` for RNGs with large seeds
+ ///
+ /// Note that the required traits `core::default::Default` and
+ /// `core::convert::AsMut<u8>` are not implemented for large arrays
+ /// `[u8; N]` with `N` > 32. To be able to implement the traits required by
+ /// `SeedableRng` for RNGs with such large seeds, the newtype pattern can be
+ /// used:
+ ///
+ /// ```
+ /// use rand_core::SeedableRng;
+ ///
+ /// const N: usize = 64;
+ /// pub struct MyRngSeed(pub [u8; N]);
+ /// pub struct MyRng(MyRngSeed);
+ ///
+ /// impl Default for MyRngSeed {
+ /// fn default() -> MyRngSeed {
+ /// MyRngSeed([0; N])
+ /// }
+ /// }
+ ///
+ /// impl AsMut<[u8]> for MyRngSeed {
+ /// fn as_mut(&mut self) -> &mut [u8] {
+ /// &mut self.0
+ /// }
+ /// }
+ ///
+ /// impl SeedableRng for MyRng {
+ /// type Seed = MyRngSeed;
+ ///
+ /// fn from_seed(seed: MyRngSeed) -> MyRng {
+ /// MyRng(seed)
+ /// }
+ /// }
+ /// ```
+ type Seed: Sized + Default + AsMut<[u8]>;
+
+ /// Create a new PRNG using the given seed.
+ ///
+ /// PRNG implementations are allowed to assume that bits in the seed are
+ /// well distributed. That means usually that the number of one and zero
+ /// bits are about equal, and values like 0, 1 and (size - 1) are unlikely.
+ ///
+ /// PRNG implementations are recommended to be reproducible. A PRNG seeded
+ /// using this function with a fixed seed should produce the same sequence
+ /// of output in the future and on different architectures (with for example
+ /// different endianness).
+ ///
+ /// It is however not required that this function yield the same state as a
+ /// reference implementation of the PRNG given equivalent seed; if necessary
+ /// another constructor replicating behaviour from a reference
+ /// implementation can be added.
+ ///
+ /// PRNG implementations should make sure `from_seed` never panics. In the
+ /// case that some special values (like an all zero seed) are not viable
+ /// seeds it is preferable to map these to alternative constant value(s),
+ /// for example `0xBAD5EEDu32` or `0x0DDB1A5E5BAD5EEDu64` ("odd biases? bad
+ /// seed"). This is assuming only a small number of values must be rejected.
+ fn from_seed(seed: Self::Seed) -> Self;
+
+ /// Create a new PRNG using a `u64` seed.
+ ///
+ /// This is a convenience-wrapper around `from_seed` to allow construction
+ /// of any `SeedableRng` from a simple `u64` value. It is designed such that
+ /// low Hamming Weight numbers like 0 and 1 can be used and should still
+ /// result in good, independent seeds to the PRNG which is returned.
+ ///
+ /// This **is not suitable for cryptography**, as should be clear given that
+ /// the input size is only 64 bits.
+ ///
+ /// Implementations for PRNGs *may* provide their own implementations of
+ /// this function, but the default implementation should be good enough for
+ /// all purposes. *Changing* the implementation of this function should be
+ /// considered a value-breaking change.
+ fn seed_from_u64(mut state: u64) -> Self {
+ // We use PCG32 to generate a u32 sequence, and copy to the seed
+ const MUL: u64 = 6364136223846793005;
+ const INC: u64 = 11634580027462260723;
+
+ let mut seed = Self::Seed::default();
+ for chunk in seed.as_mut().chunks_mut(4) {
+ // We advance the state first (to get away from the input value,
+ // in case it has low Hamming Weight).
+ state = state.wrapping_mul(MUL).wrapping_add(INC);
+
+ // Use PCG output function with to_le to generate x:
+ let xorshifted = (((state >> 18) ^ state) >> 27) as u32;
+ let rot = (state >> 59) as u32;
+ let x = xorshifted.rotate_right(rot).to_le();
+
+ unsafe {
+ let p = &x as *const u32 as *const u8;
+ copy_nonoverlapping(p, chunk.as_mut_ptr(), chunk.len());
+ }
+ }
+
+ Self::from_seed(seed)
+ }
+
+ /// Create a new PRNG seeded from another `Rng`.
+ ///
+ /// This is the recommended way to initialize PRNGs with fresh entropy. The
+ /// [`FromEntropy`] trait provides a convenient `from_entropy` method
+ /// based on `from_rng`.
+ ///
+ /// Usage of this method is not recommended when reproducibility is required
+ /// since implementing PRNGs are not required to fix Endianness and are
+ /// allowed to modify implementations in new releases.
+ ///
+ /// It is important to use a good source of randomness to initialize the
+ /// PRNG. Cryptographic PRNG may be rendered insecure when seeded from a
+ /// non-cryptographic PRNG or with insufficient entropy.
+ /// Many non-cryptographic PRNGs will show statistical bias in their first
+ /// results if their seed numbers are small or if there is a simple pattern
+ /// between them.
+ ///
+ /// Prefer to seed from a strong external entropy source like [`OsRng`] or
+ /// from a cryptographic PRNG; if creating a new generator for cryptographic
+ /// uses you *must* seed from a strong source.
+ ///
+ /// Seeding a small PRNG from another small PRNG is possible, but
+ /// something to be careful with. An extreme example of how this can go
+ /// wrong is seeding an Xorshift RNG from another Xorshift RNG, which
+ /// will effectively clone the generator. In general seeding from a
+ /// generator which is hard to predict is probably okay.
+ ///
+ /// PRNG implementations are allowed to assume that a good RNG is provided
+ /// for seeding, and that it is cryptographically secure when appropriate.
+ ///
+ /// [`FromEntropy`]: ../rand/trait.FromEntropy.html
+ /// [`OsRng`]: ../rand/rngs/struct.OsRng.html
+ fn from_rng<R: RngCore>(mut rng: R) -> Result<Self, Error> {
+ let mut seed = Self::Seed::default();
+ rng.try_fill_bytes(seed.as_mut())?;
+ Ok(Self::from_seed(seed))
+ }
+}
+
+// Implement `RngCore` for references to an `RngCore`.
+// Force inlining all functions, so that it is up to the `RngCore`
+// implementation and the optimizer to decide on inlining.
+impl<'a, R: RngCore + ?Sized> RngCore for &'a mut R {
+ #[inline(always)]
+ fn next_u32(&mut self) -> u32 {
+ (**self).next_u32()
+ }
+
+ #[inline(always)]
+ fn next_u64(&mut self) -> u64 {
+ (**self).next_u64()
+ }
+
+ #[inline(always)]
+ fn fill_bytes(&mut self, dest: &mut [u8]) {
+ (**self).fill_bytes(dest)
+ }
+
+ #[inline(always)]
+ fn try_fill_bytes(&mut self, dest: &mut [u8]) -> Result<(), Error> {
+ (**self).try_fill_bytes(dest)
+ }
+}
+
+// Implement `RngCore` for boxed references to an `RngCore`.
+// Force inlining all functions, so that it is up to the `RngCore`
+// implementation and the optimizer to decide on inlining.
+#[cfg(feature="alloc")]
+impl<R: RngCore + ?Sized> RngCore for Box<R> {
+ #[inline(always)]
+ fn next_u32(&mut self) -> u32 {
+ (**self).next_u32()
+ }
+
+ #[inline(always)]
+ fn next_u64(&mut self) -> u64 {
+ (**self).next_u64()
+ }
+
+ #[inline(always)]
+ fn fill_bytes(&mut self, dest: &mut [u8]) {
+ (**self).fill_bytes(dest)
+ }
+
+ #[inline(always)]
+ fn try_fill_bytes(&mut self, dest: &mut [u8]) -> Result<(), Error> {
+ (**self).try_fill_bytes(dest)
+ }
+}
+
+#[cfg(feature="std")]
+impl std::io::Read for RngCore {
+ fn read(&mut self, buf: &mut [u8]) -> Result<usize, std::io::Error> {
+ self.try_fill_bytes(buf)?;
+ Ok(buf.len())
+ }
+}
+
+// Implement `CryptoRng` for references to an `CryptoRng`.
+impl<'a, R: CryptoRng + ?Sized> CryptoRng for &'a mut R {}
+
+// Implement `CryptoRng` for boxed references to an `CryptoRng`.
+#[cfg(feature="alloc")]
+impl<R: CryptoRng + ?Sized> CryptoRng for Box<R> {}
+
+#[cfg(test)]
+mod test {
+ use super::*;
+
+ #[test]
+ fn test_seed_from_u64() {
+ struct SeedableNum(u64);
+ impl SeedableRng for SeedableNum {
+ type Seed = [u8; 8];
+ fn from_seed(seed: Self::Seed) -> Self {
+ let mut x = [0u64; 1];
+ le::read_u64_into(&seed, &mut x);
+ SeedableNum(x[0])
+ }
+ }
+
+ const N: usize = 8;
+ const SEEDS: [u64; N] = [0u64, 1, 2, 3, 4, 8, 16, -1i64 as u64];
+ let mut results = [0u64; N];
+ for (i, seed) in SEEDS.iter().enumerate() {
+ let SeedableNum(x) = SeedableNum::seed_from_u64(*seed);
+ results[i] = x;
+ }
+
+ for (i1, r1) in results.iter().enumerate() {
+ let weight = r1.count_ones();
+ // This is the binomial distribution B(64, 0.5), so chance of
+ // weight < 20 is binocdf(19, 64, 0.5) = 7.8e-4, and same for
+ // weight > 44.
+ assert!(weight >= 20 && weight <= 44);
+
+ for (i2, r2) in results.iter().enumerate() {
+ if i1 == i2 { continue; }
+ let diff_weight = (r1 ^ r2).count_ones();
+ assert!(diff_weight >= 20);
+ }
+ }
+
+ // value-breakage test:
+ assert_eq!(results[0], 5029875928683246316);
+ }
+}