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authorDaniel Mueller <deso@posteo.net>2019-01-02 21:14:10 -0800
committerDaniel Mueller <deso@posteo.net>2019-01-02 21:14:10 -0800
commitecf3474223ca3d16a10f12dc2272e3b0ed72c1bb (patch)
tree03134a683791176b49ef5c92e8d6acd24c3b5a9b /rand/src/distributions/uniform.rs
parent686f61b75055ecb02baf9d9449525ae447a3bed1 (diff)
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Update nitrokey crate to 0.2.3
This change updates the nitrokey crate to version 0.2.3. This version bumps the rand crate used to 0.6.1, which in turn requires an additional set of dependencies. Import subrepo nitrokey/:nitrokey at b3e2adc5bb1300441ca74cc7672617c042f3ea31 Import subrepo rand/:rand at 73613ff903512e9503e41cc8ba9eae76269dc598 Import subrepo rustc_version/:rustc_version at 0294f2ba2018bf7be672abd53db351ce5055fa02 Import subrepo semver-parser/:semver-parser at 750da9b11a04125231b1fb293866ca036845acee Import subrepo semver/:semver at 5eb6db94fa03f4d5c64a625a56188f496be47598
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+// Copyright 2018 Developers of the Rand project.
+// Copyright 2017 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.
+
+//! A distribution uniformly sampling numbers within a given range.
+//!
+//! [`Uniform`] is the standard distribution to sample uniformly from a range;
+//! e.g. `Uniform::new_inclusive(1, 6)` can sample integers from 1 to 6, like a
+//! standard die. [`Rng::gen_range`] supports any type supported by
+//! [`Uniform`].
+//!
+//! This distribution is provided with support for several primitive types
+//! (all integer and floating-point types) as well as `std::time::Duration`,
+//! and supports extension to user-defined types via a type-specific *back-end*
+//! implementation.
+//!
+//! The types [`UniformInt`], [`UniformFloat`] and [`UniformDuration`] are the
+//! back-ends supporting sampling from primitive integer and floating-point
+//! ranges as well as from `std::time::Duration`; these types do not normally
+//! need to be used directly (unless implementing a derived back-end).
+//!
+//! # Example usage
+//!
+//! ```
+//! use rand::{Rng, thread_rng};
+//! use rand::distributions::Uniform;
+//!
+//! let mut rng = thread_rng();
+//! let side = Uniform::new(-10.0, 10.0);
+//!
+//! // sample between 1 and 10 points
+//! for _ in 0..rng.gen_range(1, 11) {
+//! // sample a point from the square with sides -10 - 10 in two dimensions
+//! let (x, y) = (rng.sample(side), rng.sample(side));
+//! println!("Point: {}, {}", x, y);
+//! }
+//! ```
+//!
+//! # Extending `Uniform` to support a custom type
+//!
+//! To extend [`Uniform`] to support your own types, write a back-end which
+//! implements the [`UniformSampler`] trait, then implement the [`SampleUniform`]
+//! helper trait to "register" your back-end. See the `MyF32` example below.
+//!
+//! At a minimum, the back-end needs to store any parameters needed for sampling
+//! (e.g. the target range) and implement `new`, `new_inclusive` and `sample`.
+//! Those methods should include an assert to check the range is valid (i.e.
+//! `low < high`). The example below merely wraps another back-end.
+//!
+//! The `new`, `new_inclusive` and `sample_single` functions use arguments of
+//! type SampleBorrow<X> in order to support passing in values by reference or
+//! by value. In the implementation of these functions, you can choose to
+//! simply use the reference returned by [`SampleBorrow::borrow`], or you can choose
+//! to copy or clone the value, whatever is appropriate for your type.
+//!
+//! ```
+//! use rand::prelude::*;
+//! use rand::distributions::uniform::{Uniform, SampleUniform,
+//! UniformSampler, UniformFloat, SampleBorrow};
+//!
+//! struct MyF32(f32);
+//!
+//! #[derive(Clone, Copy, Debug)]
+//! struct UniformMyF32 {
+//! inner: UniformFloat<f32>,
+//! }
+//!
+//! impl UniformSampler for UniformMyF32 {
+//! type X = MyF32;
+//! fn new<B1, B2>(low: B1, high: B2) -> Self
+//! where B1: SampleBorrow<Self::X> + Sized,
+//! B2: SampleBorrow<Self::X> + Sized
+//! {
+//! UniformMyF32 {
+//! inner: UniformFloat::<f32>::new(low.borrow().0, high.borrow().0),
+//! }
+//! }
+//! fn new_inclusive<B1, B2>(low: B1, high: B2) -> Self
+//! where B1: SampleBorrow<Self::X> + Sized,
+//! B2: SampleBorrow<Self::X> + Sized
+//! {
+//! UniformSampler::new(low, high)
+//! }
+//! fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::X {
+//! MyF32(self.inner.sample(rng))
+//! }
+//! }
+//!
+//! impl SampleUniform for MyF32 {
+//! type Sampler = UniformMyF32;
+//! }
+//!
+//! let (low, high) = (MyF32(17.0f32), MyF32(22.0f32));
+//! let uniform = Uniform::new(low, high);
+//! let x = uniform.sample(&mut thread_rng());
+//! ```
+//!
+//! [`Uniform`]: struct.Uniform.html
+//! [`Rng::gen_range`]: ../../trait.Rng.html#method.gen_range
+//! [`SampleUniform`]: trait.SampleUniform.html
+//! [`UniformSampler`]: trait.UniformSampler.html
+//! [`UniformInt`]: struct.UniformInt.html
+//! [`UniformFloat`]: struct.UniformFloat.html
+//! [`UniformDuration`]: struct.UniformDuration.html
+//! [`SampleBorrow::borrow`]: trait.SampleBorrow.html#method.borrow
+
+#[cfg(feature = "std")]
+use std::time::Duration;
+#[cfg(all(not(feature = "std"), rust_1_25))]
+use core::time::Duration;
+
+use Rng;
+use distributions::Distribution;
+use distributions::float::IntoFloat;
+use distributions::utils::{WideningMultiply, FloatSIMDUtils, FloatAsSIMD, BoolAsSIMD};
+
+#[cfg(not(feature = "std"))]
+#[allow(unused_imports)] // rustc doesn't detect that this is actually used
+use distributions::utils::Float;
+
+
+#[cfg(feature="simd_support")]
+use packed_simd::*;
+
+/// Sample values uniformly between two bounds.
+///
+/// [`Uniform::new`] and [`Uniform::new_inclusive`] construct a uniform
+/// distribution sampling from the given range; these functions may do extra
+/// work up front to make sampling of multiple values faster.
+///
+/// When sampling from a constant range, many calculations can happen at
+/// compile-time and all methods should be fast; for floating-point ranges and
+/// the full range of integer types this should have comparable performance to
+/// the `Standard` distribution.
+///
+/// Steps are taken to avoid bias which might be present in naive
+/// implementations; for example `rng.gen::<u8>() % 170` samples from the range
+/// `[0, 169]` but is twice as likely to select numbers less than 85 than other
+/// values. Further, the implementations here give more weight to the high-bits
+/// generated by the RNG than the low bits, since with some RNGs the low-bits
+/// are of lower quality than the high bits.
+///
+/// Implementations must sample in `[low, high)` range for
+/// `Uniform::new(low, high)`, i.e., excluding `high`. In particular care must
+/// be taken to ensure that rounding never results values `< low` or `>= high`.
+///
+/// # Example
+///
+/// ```
+/// use rand::distributions::{Distribution, Uniform};
+///
+/// fn main() {
+/// let between = Uniform::from(10..10000);
+/// let mut rng = rand::thread_rng();
+/// let mut sum = 0;
+/// for _ in 0..1000 {
+/// sum += between.sample(&mut rng);
+/// }
+/// println!("{}", sum);
+/// }
+/// ```
+///
+/// [`Uniform::new`]: struct.Uniform.html#method.new
+/// [`Uniform::new_inclusive`]: struct.Uniform.html#method.new_inclusive
+/// [`new`]: struct.Uniform.html#method.new
+/// [`new_inclusive`]: struct.Uniform.html#method.new_inclusive
+#[derive(Clone, Copy, Debug)]
+pub struct Uniform<X: SampleUniform> {
+ inner: X::Sampler,
+}
+
+impl<X: SampleUniform> Uniform<X> {
+ /// Create a new `Uniform` instance which samples uniformly from the half
+ /// open range `[low, high)` (excluding `high`). Panics if `low >= high`.
+ pub fn new<B1, B2>(low: B1, high: B2) -> Uniform<X>
+ where B1: SampleBorrow<X> + Sized,
+ B2: SampleBorrow<X> + Sized
+ {
+ Uniform { inner: X::Sampler::new(low, high) }
+ }
+
+ /// Create a new `Uniform` instance which samples uniformly from the closed
+ /// range `[low, high]` (inclusive). Panics if `low > high`.
+ pub fn new_inclusive<B1, B2>(low: B1, high: B2) -> Uniform<X>
+ where B1: SampleBorrow<X> + Sized,
+ B2: SampleBorrow<X> + Sized
+ {
+ Uniform { inner: X::Sampler::new_inclusive(low, high) }
+ }
+}
+
+impl<X: SampleUniform> Distribution<X> for Uniform<X> {
+ fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> X {
+ self.inner.sample(rng)
+ }
+}
+
+/// Helper trait for creating objects using the correct implementation of
+/// [`UniformSampler`] for the sampling type.
+///
+/// See the [module documentation] on how to implement [`Uniform`] range
+/// sampling for a custom type.
+///
+/// [`UniformSampler`]: trait.UniformSampler.html
+/// [module documentation]: index.html
+/// [`Uniform`]: struct.Uniform.html
+pub trait SampleUniform: Sized {
+ /// The `UniformSampler` implementation supporting type `X`.
+ type Sampler: UniformSampler<X = Self>;
+}
+
+/// Helper trait handling actual uniform sampling.
+///
+/// See the [module documentation] on how to implement [`Uniform`] range
+/// sampling for a custom type.
+///
+/// Implementation of [`sample_single`] is optional, and is only useful when
+/// the implementation can be faster than `Self::new(low, high).sample(rng)`.
+///
+/// [module documentation]: index.html
+/// [`Uniform`]: struct.Uniform.html
+/// [`sample_single`]: trait.UniformSampler.html#method.sample_single
+pub trait UniformSampler: Sized {
+ /// The type sampled by this implementation.
+ type X;
+
+ /// Construct self, with inclusive lower bound and exclusive upper bound
+ /// `[low, high)`.
+ ///
+ /// Usually users should not call this directly but instead use
+ /// `Uniform::new`, which asserts that `low < high` before calling this.
+ fn new<B1, B2>(low: B1, high: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized;
+
+ /// Construct self, with inclusive bounds `[low, high]`.
+ ///
+ /// Usually users should not call this directly but instead use
+ /// `Uniform::new_inclusive`, which asserts that `low <= high` before
+ /// calling this.
+ fn new_inclusive<B1, B2>(low: B1, high: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized;
+
+ /// Sample a value.
+ fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::X;
+
+ /// Sample a single value uniformly from a range with inclusive lower bound
+ /// and exclusive upper bound `[low, high)`.
+ ///
+ /// Usually users should not call this directly but instead use
+ /// `Uniform::sample_single`, which asserts that `low < high` before calling
+ /// this.
+ ///
+ /// Via this method, implementations can provide a method optimized for
+ /// sampling only a single value from the specified range. The default
+ /// implementation simply calls `UniformSampler::new` then `sample` on the
+ /// result.
+ fn sample_single<R: Rng + ?Sized, B1, B2>(low: B1, high: B2, rng: &mut R)
+ -> Self::X
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let uniform: Self = UniformSampler::new(low, high);
+ uniform.sample(rng)
+ }
+}
+
+impl<X: SampleUniform> From<::core::ops::Range<X>> for Uniform<X> {
+ fn from(r: ::core::ops::Range<X>) -> Uniform<X> {
+ Uniform::new(r.start, r.end)
+ }
+}
+
+#[cfg(rust_1_27)]
+impl<X: SampleUniform> From<::core::ops::RangeInclusive<X>> for Uniform<X> {
+ fn from(r: ::core::ops::RangeInclusive<X>) -> Uniform<X> {
+ Uniform::new_inclusive(r.start(), r.end())
+ }
+}
+
+/// Helper trait similar to [`Borrow`] but implemented
+/// only for SampleUniform and references to SampleUniform in
+/// order to resolve ambiguity issues.
+///
+/// [`Borrow`]: https://doc.rust-lang.org/std/borrow/trait.Borrow.html
+pub trait SampleBorrow<Borrowed> {
+ /// Immutably borrows from an owned value. See [`Borrow::borrow`]
+ ///
+ /// [`Borrow::borrow`]: https://doc.rust-lang.org/std/borrow/trait.Borrow.html#tymethod.borrow
+ fn borrow(&self) -> &Borrowed;
+}
+impl<Borrowed> SampleBorrow<Borrowed> for Borrowed where Borrowed: SampleUniform {
+ #[inline(always)]
+ fn borrow(&self) -> &Borrowed { self }
+}
+impl<'a, Borrowed> SampleBorrow<Borrowed> for &'a Borrowed where Borrowed: SampleUniform {
+ #[inline(always)]
+ fn borrow(&self) -> &Borrowed { *self }
+}
+
+////////////////////////////////////////////////////////////////////////////////
+
+// What follows are all back-ends.
+
+
+/// The back-end implementing [`UniformSampler`] for integer types.
+///
+/// Unless you are implementing [`UniformSampler`] for your own type, this type
+/// should not be used directly, use [`Uniform`] instead.
+///
+/// # Implementation notes
+///
+/// For a closed range, the number of possible numbers we should generate is
+/// `range = (high - low + 1)`. It is not possible to end up with a uniform
+/// distribution if we map *all* the random integers that can be generated to
+/// this range. We have to map integers from a `zone` that is a multiple of the
+/// range. The rest of the integers, that cause a bias, are rejected.
+///
+/// The problem with `range` is that to cover the full range of the type, it has
+/// to store `unsigned_max + 1`, which can't be represented. But if the range
+/// covers the full range of the type, no modulus is needed. A range of size 0
+/// can't exist, so we use that to represent this special case. Wrapping
+/// arithmetic even makes representing `unsigned_max + 1` as 0 simple.
+///
+/// We don't calculate `zone` directly, but first calculate the number of
+/// integers to reject. To handle `unsigned_max + 1` not fitting in the type,
+/// we use:
+/// `ints_to_reject = (unsigned_max + 1) % range;`
+/// `ints_to_reject = (unsigned_max - range + 1) % range;`
+///
+/// The smallest integer PRNGs generate is `u32`. That is why for small integer
+/// sizes (`i8`/`u8` and `i16`/`u16`) there is an optimization: don't pick the
+/// largest zone that can fit in the small type, but pick the largest zone that
+/// can fit in an `u32`. `ints_to_reject` is always less than half the size of
+/// the small integer. This means the first bit of `zone` is always 1, and so
+/// are all the other preceding bits of a larger integer. The easiest way to
+/// grow the `zone` for the larger type is to simply sign extend it.
+///
+/// An alternative to using a modulus is widening multiply: After a widening
+/// multiply by `range`, the result is in the high word. Then comparing the low
+/// word against `zone` makes sure our distribution is uniform.
+///
+/// [`UniformSampler`]: trait.UniformSampler.html
+/// [`Uniform`]: struct.Uniform.html
+#[derive(Clone, Copy, Debug)]
+pub struct UniformInt<X> {
+ low: X,
+ range: X,
+ zone: X,
+}
+
+macro_rules! uniform_int_impl {
+ ($ty:ty, $signed:ty, $unsigned:ident,
+ $i_large:ident, $u_large:ident) => {
+ impl SampleUniform for $ty {
+ type Sampler = UniformInt<$ty>;
+ }
+
+ impl UniformSampler for UniformInt<$ty> {
+ // We play free and fast with unsigned vs signed here
+ // (when $ty is signed), but that's fine, since the
+ // contract of this macro is for $ty and $unsigned to be
+ // "bit-equal", so casting between them is a no-op.
+
+ type X = $ty;
+
+ #[inline] // if the range is constant, this helps LLVM to do the
+ // calculations at compile-time.
+ fn new<B1, B2>(low_b: B1, high_b: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low < high, "Uniform::new called with `low >= high`");
+ UniformSampler::new_inclusive(low, high - 1)
+ }
+
+ #[inline] // if the range is constant, this helps LLVM to do the
+ // calculations at compile-time.
+ fn new_inclusive<B1, B2>(low_b: B1, high_b: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low <= high,
+ "Uniform::new_inclusive called with `low > high`");
+ let unsigned_max = ::core::$unsigned::MAX;
+
+ let range = high.wrapping_sub(low).wrapping_add(1) as $unsigned;
+ let ints_to_reject =
+ if range > 0 {
+ (unsigned_max - range + 1) % range
+ } else {
+ 0
+ };
+ let zone = unsigned_max - ints_to_reject;
+
+ UniformInt {
+ low: low,
+ // These are really $unsigned values, but store as $ty:
+ range: range as $ty,
+ zone: zone as $ty
+ }
+ }
+
+ fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::X {
+ let range = self.range as $unsigned as $u_large;
+ if range > 0 {
+ // Grow `zone` to fit a type of at least 32 bits, by
+ // sign-extending it (the first bit is always 1, so are all
+ // the preceding bits of the larger type).
+ // For types that already have the right size, all the
+ // casting is a no-op.
+ let zone = self.zone as $signed as $i_large as $u_large;
+ loop {
+ let v: $u_large = rng.gen();
+ let (hi, lo) = v.wmul(range);
+ if lo <= zone {
+ return self.low.wrapping_add(hi as $ty);
+ }
+ }
+ } else {
+ // Sample from the entire integer range.
+ rng.gen()
+ }
+ }
+
+ fn sample_single<R: Rng + ?Sized, B1, B2>(low_b: B1, high_b: B2, rng: &mut R)
+ -> Self::X
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low < high,
+ "Uniform::sample_single called with low >= high");
+ let range = high.wrapping_sub(low) as $unsigned as $u_large;
+ let zone =
+ if ::core::$unsigned::MAX <= ::core::u16::MAX as $unsigned {
+ // Using a modulus is faster than the approximation for
+ // i8 and i16. I suppose we trade the cost of one
+ // modulus for near-perfect branch prediction.
+ let unsigned_max: $u_large = ::core::$u_large::MAX;
+ let ints_to_reject = (unsigned_max - range + 1) % range;
+ unsigned_max - ints_to_reject
+ } else {
+ // conservative but fast approximation
+ range << range.leading_zeros()
+ };
+
+ loop {
+ let v: $u_large = rng.gen();
+ let (hi, lo) = v.wmul(range);
+ if lo <= zone {
+ return low.wrapping_add(hi as $ty);
+ }
+ }
+ }
+ }
+ }
+}
+
+uniform_int_impl! { i8, i8, u8, i32, u32 }
+uniform_int_impl! { i16, i16, u16, i32, u32 }
+uniform_int_impl! { i32, i32, u32, i32, u32 }
+uniform_int_impl! { i64, i64, u64, i64, u64 }
+#[cfg(rust_1_26)]
+uniform_int_impl! { i128, i128, u128, u128, u128 }
+uniform_int_impl! { isize, isize, usize, isize, usize }
+uniform_int_impl! { u8, i8, u8, i32, u32 }
+uniform_int_impl! { u16, i16, u16, i32, u32 }
+uniform_int_impl! { u32, i32, u32, i32, u32 }
+uniform_int_impl! { u64, i64, u64, i64, u64 }
+uniform_int_impl! { usize, isize, usize, isize, usize }
+#[cfg(rust_1_26)]
+uniform_int_impl! { u128, u128, u128, i128, u128 }
+
+#[cfg(all(feature = "simd_support", feature = "nightly"))]
+macro_rules! uniform_simd_int_impl {
+ ($ty:ident, $unsigned:ident, $u_scalar:ident) => {
+ // The "pick the largest zone that can fit in an `u32`" optimization
+ // is less useful here. Multiple lanes complicate things, we don't
+ // know the PRNG's minimal output size, and casting to a larger vector
+ // is generally a bad idea for SIMD performance. The user can still
+ // implement it manually.
+
+ // TODO: look into `Uniform::<u32x4>::new(0u32, 100)` functionality
+ // perhaps `impl SampleUniform for $u_scalar`?
+ impl SampleUniform for $ty {
+ type Sampler = UniformInt<$ty>;
+ }
+
+ impl UniformSampler for UniformInt<$ty> {
+ type X = $ty;
+
+ #[inline] // if the range is constant, this helps LLVM to do the
+ // calculations at compile-time.
+ fn new<B1, B2>(low_b: B1, high_b: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low.lt(high).all(), "Uniform::new called with `low >= high`");
+ UniformSampler::new_inclusive(low, high - 1)
+ }
+
+ #[inline] // if the range is constant, this helps LLVM to do the
+ // calculations at compile-time.
+ fn new_inclusive<B1, B2>(low_b: B1, high_b: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low.le(high).all(),
+ "Uniform::new_inclusive called with `low > high`");
+ let unsigned_max = ::core::$u_scalar::MAX;
+
+ // NOTE: these may need to be replaced with explicitly
+ // wrapping operations if `packed_simd` changes
+ let range: $unsigned = ((high - low) + 1).cast();
+ // `% 0` will panic at runtime.
+ let not_full_range = range.gt($unsigned::splat(0));
+ // replacing 0 with `unsigned_max` allows a faster `select`
+ // with bitwise OR
+ let modulo = not_full_range.select(range, $unsigned::splat(unsigned_max));
+ // wrapping addition
+ let ints_to_reject = (unsigned_max - range + 1) % modulo;
+ // When `range` is 0, `lo` of `v.wmul(range)` will always be
+ // zero which means only one sample is needed.
+ let zone = unsigned_max - ints_to_reject;
+
+ UniformInt {
+ low: low,
+ // These are really $unsigned values, but store as $ty:
+ range: range.cast(),
+ zone: zone.cast(),
+ }
+ }
+
+ fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::X {
+ let range: $unsigned = self.range.cast();
+ let zone: $unsigned = self.zone.cast();
+
+ // This might seem very slow, generating a whole new
+ // SIMD vector for every sample rejection. For most uses
+ // though, the chance of rejection is small and provides good
+ // general performance. With multiple lanes, that chance is
+ // multiplied. To mitigate this, we replace only the lanes of
+ // the vector which fail, iteratively reducing the chance of
+ // rejection. The replacement method does however add a little
+ // overhead. Benchmarking or calculating probabilities might
+ // reveal contexts where this replacement method is slower.
+ let mut v: $unsigned = rng.gen();
+ loop {
+ let (hi, lo) = v.wmul(range);
+ let mask = lo.le(zone);
+ if mask.all() {
+ let hi: $ty = hi.cast();
+ // wrapping addition
+ let result = self.low + hi;
+ // `select` here compiles to a blend operation
+ // When `range.eq(0).none()` the compare and blend
+ // operations are avoided.
+ let v: $ty = v.cast();
+ return range.gt($unsigned::splat(0)).select(result, v);
+ }
+ // Replace only the failing lanes
+ v = mask.select(v, rng.gen());
+ }
+ }
+ }
+ };
+
+ // bulk implementation
+ ($(($unsigned:ident, $signed:ident),)+ $u_scalar:ident) => {
+ $(
+ uniform_simd_int_impl!($unsigned, $unsigned, $u_scalar);
+ uniform_simd_int_impl!($signed, $unsigned, $u_scalar);
+ )+
+ };
+}
+
+#[cfg(all(feature = "simd_support", feature = "nightly"))]
+uniform_simd_int_impl! {
+ (u64x2, i64x2),
+ (u64x4, i64x4),
+ (u64x8, i64x8),
+ u64
+}
+
+#[cfg(all(feature = "simd_support", feature = "nightly"))]
+uniform_simd_int_impl! {
+ (u32x2, i32x2),
+ (u32x4, i32x4),
+ (u32x8, i32x8),
+ (u32x16, i32x16),
+ u32
+}
+
+#[cfg(all(feature = "simd_support", feature = "nightly"))]
+uniform_simd_int_impl! {
+ (u16x2, i16x2),
+ (u16x4, i16x4),
+ (u16x8, i16x8),
+ (u16x16, i16x16),
+ (u16x32, i16x32),
+ u16
+}
+
+#[cfg(all(feature = "simd_support", feature = "nightly"))]
+uniform_simd_int_impl! {
+ (u8x2, i8x2),
+ (u8x4, i8x4),
+ (u8x8, i8x8),
+ (u8x16, i8x16),
+ (u8x32, i8x32),
+ (u8x64, i8x64),
+ u8
+}
+
+
+/// The back-end implementing [`UniformSampler`] for floating-point types.
+///
+/// Unless you are implementing [`UniformSampler`] for your own type, this type
+/// should not be used directly, use [`Uniform`] instead.
+///
+/// # Implementation notes
+///
+/// Instead of generating a float in the `[0, 1)` range using [`Standard`], the
+/// `UniformFloat` implementation converts the output of an PRNG itself. This
+/// way one or two steps can be optimized out.
+///
+/// The floats are first converted to a value in the `[1, 2)` interval using a
+/// transmute-based method, and then mapped to the expected range with a
+/// multiply and addition. Values produced this way have what equals 22 bits of
+/// random digits for an `f32`, and 52 for an `f64`.
+///
+/// [`UniformSampler`]: trait.UniformSampler.html
+/// [`new`]: trait.UniformSampler.html#tymethod.new
+/// [`new_inclusive`]: trait.UniformSampler.html#tymethod.new_inclusive
+/// [`Uniform`]: struct.Uniform.html
+/// [`Standard`]: ../struct.Standard.html
+#[derive(Clone, Copy, Debug)]
+pub struct UniformFloat<X> {
+ low: X,
+ scale: X,
+}
+
+macro_rules! uniform_float_impl {
+ ($ty:ty, $uty:ident, $f_scalar:ident, $u_scalar:ident, $bits_to_discard:expr) => {
+ impl SampleUniform for $ty {
+ type Sampler = UniformFloat<$ty>;
+ }
+
+ impl UniformSampler for UniformFloat<$ty> {
+ type X = $ty;
+
+ fn new<B1, B2>(low_b: B1, high_b: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low.all_lt(high),
+ "Uniform::new called with `low >= high`");
+ assert!(low.all_finite() && high.all_finite(),
+ "Uniform::new called with non-finite boundaries");
+ let max_rand = <$ty>::splat((::core::$u_scalar::MAX >> $bits_to_discard)
+ .into_float_with_exponent(0) - 1.0);
+
+ let mut scale = high - low;
+
+ loop {
+ let mask = (scale * max_rand + low).ge_mask(high);
+ if mask.none() {
+ break;
+ }
+ scale = scale.decrease_masked(mask);
+ }
+
+ debug_assert!(<$ty>::splat(0.0).all_le(scale));
+
+ UniformFloat { low, scale }
+ }
+
+ fn new_inclusive<B1, B2>(low_b: B1, high_b: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low.all_le(high),
+ "Uniform::new_inclusive called with `low > high`");
+ assert!(low.all_finite() && high.all_finite(),
+ "Uniform::new_inclusive called with non-finite boundaries");
+ let max_rand = <$ty>::splat((::core::$u_scalar::MAX >> $bits_to_discard)
+ .into_float_with_exponent(0) - 1.0);
+
+ let mut scale = (high - low) / max_rand;
+
+ loop {
+ let mask = (scale * max_rand + low).gt_mask(high);
+ if mask.none() {
+ break;
+ }
+ scale = scale.decrease_masked(mask);
+ }
+
+ debug_assert!(<$ty>::splat(0.0).all_le(scale));
+
+ UniformFloat { low, scale }
+ }
+
+ fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::X {
+ // Generate a value in the range [1, 2)
+ let value1_2 = (rng.gen::<$uty>() >> $bits_to_discard)
+ .into_float_with_exponent(0);
+
+ // Get a value in the range [0, 1) in order to avoid
+ // overflowing into infinity when multiplying with scale
+ let value0_1 = value1_2 - 1.0;
+
+ // We don't use `f64::mul_add`, because it is not available with
+ // `no_std`. Furthermore, it is slower for some targets (but
+ // faster for others). However, the order of multiplication and
+ // addition is important, because on some platforms (e.g. ARM)
+ // it will be optimized to a single (non-FMA) instruction.
+ value0_1 * self.scale + self.low
+ }
+
+ #[inline]
+ fn sample_single<R: Rng + ?Sized, B1, B2>(low_b: B1, high_b: B2, rng: &mut R)
+ -> Self::X
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low.all_lt(high),
+ "Uniform::sample_single called with low >= high");
+ let mut scale = high - low;
+
+ loop {
+ // Generate a value in the range [1, 2)
+ let value1_2 = (rng.gen::<$uty>() >> $bits_to_discard)
+ .into_float_with_exponent(0);
+
+ // Get a value in the range [0, 1) in order to avoid
+ // overflowing into infinity when multiplying with scale
+ let value0_1 = value1_2 - 1.0;
+
+ // Doing multiply before addition allows some architectures
+ // to use a single instruction.
+ let res = value0_1 * scale + low;
+
+ debug_assert!(low.all_le(res) || !scale.all_finite());
+ if res.all_lt(high) {
+ return res;
+ }
+
+ // This handles a number of edge cases.
+ // * `low` or `high` is NaN. In this case `scale` and
+ // `res` are going to end up as NaN.
+ // * `low` is negative infinity and `high` is finite.
+ // `scale` is going to be infinite and `res` will be
+ // NaN.
+ // * `high` is positive infinity and `low` is finite.
+ // `scale` is going to be infinite and `res` will
+ // be infinite or NaN (if value0_1 is 0).
+ // * `low` is negative infinity and `high` is positive
+ // infinity. `scale` will be infinite and `res` will
+ // be NaN.
+ // * `low` and `high` are finite, but `high - low`
+ // overflows to infinite. `scale` will be infinite
+ // and `res` will be infinite or NaN (if value0_1 is 0).
+ // So if `high` or `low` are non-finite, we are guaranteed
+ // to fail the `res < high` check above and end up here.
+ //
+ // While we technically should check for non-finite `low`
+ // and `high` before entering the loop, by doing the checks
+ // here instead, we allow the common case to avoid these
+ // checks. But we are still guaranteed that if `low` or
+ // `high` are non-finite we'll end up here and can do the
+ // appropriate checks.
+ //
+ // Likewise `high - low` overflowing to infinity is also
+ // rare, so handle it here after the common case.
+ let mask = !scale.finite_mask();
+ if mask.any() {
+ assert!(low.all_finite() && high.all_finite(),
+ "Uniform::sample_single called with non-finite boundaries");
+ scale = scale.decrease_masked(mask);
+ }
+ }
+ }
+ }
+ }
+}
+
+uniform_float_impl! { f32, u32, f32, u32, 32 - 23 }
+uniform_float_impl! { f64, u64, f64, u64, 64 - 52 }
+
+#[cfg(feature="simd_support")]
+uniform_float_impl! { f32x2, u32x2, f32, u32, 32 - 23 }
+#[cfg(feature="simd_support")]
+uniform_float_impl! { f32x4, u32x4, f32, u32, 32 - 23 }
+#[cfg(feature="simd_support")]
+uniform_float_impl! { f32x8, u32x8, f32, u32, 32 - 23 }
+#[cfg(feature="simd_support")]
+uniform_float_impl! { f32x16, u32x16, f32, u32, 32 - 23 }
+
+#[cfg(feature="simd_support")]
+uniform_float_impl! { f64x2, u64x2, f64, u64, 64 - 52 }
+#[cfg(feature="simd_support")]
+uniform_float_impl! { f64x4, u64x4, f64, u64, 64 - 52 }
+#[cfg(feature="simd_support")]
+uniform_float_impl! { f64x8, u64x8, f64, u64, 64 - 52 }
+
+
+
+/// The back-end implementing [`UniformSampler`] for `Duration`.
+///
+/// Unless you are implementing [`UniformSampler`] for your own types, this type
+/// should not be used directly, use [`Uniform`] instead.
+///
+/// [`UniformSampler`]: trait.UniformSampler.html
+/// [`Uniform`]: struct.Uniform.html
+#[cfg(any(feature = "std", rust_1_25))]
+#[derive(Clone, Copy, Debug)]
+pub struct UniformDuration {
+ mode: UniformDurationMode,
+ offset: u32,
+}
+
+#[cfg(any(feature = "std", rust_1_25))]
+#[derive(Debug, Copy, Clone)]
+enum UniformDurationMode {
+ Small {
+ secs: u64,
+ nanos: Uniform<u32>,
+ },
+ Medium {
+ nanos: Uniform<u64>,
+ },
+ Large {
+ max_secs: u64,
+ max_nanos: u32,
+ secs: Uniform<u64>,
+ }
+}
+
+#[cfg(any(feature = "std", rust_1_25))]
+impl SampleUniform for Duration {
+ type Sampler = UniformDuration;
+}
+
+#[cfg(any(feature = "std", rust_1_25))]
+impl UniformSampler for UniformDuration {
+ type X = Duration;
+
+ #[inline]
+ fn new<B1, B2>(low_b: B1, high_b: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low < high, "Uniform::new called with `low >= high`");
+ UniformDuration::new_inclusive(low, high - Duration::new(0, 1))
+ }
+
+ #[inline]
+ fn new_inclusive<B1, B2>(low_b: B1, high_b: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ let low = *low_b.borrow();
+ let high = *high_b.borrow();
+ assert!(low <= high, "Uniform::new_inclusive called with `low > high`");
+
+ let low_s = low.as_secs();
+ let low_n = low.subsec_nanos();
+ let mut high_s = high.as_secs();
+ let mut high_n = high.subsec_nanos();
+
+ if high_n < low_n {
+ high_s = high_s - 1;
+ high_n = high_n + 1_000_000_000;
+ }
+
+ let mode = if low_s == high_s {
+ UniformDurationMode::Small {
+ secs: low_s,
+ nanos: Uniform::new_inclusive(low_n, high_n),
+ }
+ } else {
+ let max = high_s
+ .checked_mul(1_000_000_000)
+ .and_then(|n| n.checked_add(high_n as u64));
+
+ if let Some(higher_bound) = max {
+ let lower_bound = low_s * 1_000_000_000 + low_n as u64;
+ UniformDurationMode::Medium {
+ nanos: Uniform::new_inclusive(lower_bound, higher_bound),
+ }
+ } else {
+ // An offset is applied to simplify generation of nanoseconds
+ let max_nanos = high_n - low_n;
+ UniformDurationMode::Large {
+ max_secs: high_s,
+ max_nanos,
+ secs: Uniform::new_inclusive(low_s, high_s),
+ }
+ }
+ };
+ UniformDuration {
+ mode,
+ offset: low_n,
+ }
+ }
+
+ #[inline]
+ fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Duration {
+ match self.mode {
+ UniformDurationMode::Small { secs, nanos } => {
+ let n = nanos.sample(rng);
+ Duration::new(secs, n)
+ }
+ UniformDurationMode::Medium { nanos } => {
+ let nanos = nanos.sample(rng);
+ Duration::new(nanos / 1_000_000_000, (nanos % 1_000_000_000) as u32)
+ }
+ UniformDurationMode::Large { max_secs, max_nanos, secs } => {
+ // constant folding means this is at least as fast as `gen_range`
+ let nano_range = Uniform::new(0, 1_000_000_000);
+ loop {
+ let s = secs.sample(rng);
+ let n = nano_range.sample(rng);
+ if !(s == max_secs && n > max_nanos) {
+ let sum = n + self.offset;
+ break Duration::new(s, sum);
+ }
+ }
+ }
+ }
+ }
+}
+
+#[cfg(test)]
+mod tests {
+ use Rng;
+ use rngs::mock::StepRng;
+ use distributions::uniform::Uniform;
+ use distributions::utils::FloatAsSIMD;
+ #[cfg(feature="simd_support")] use packed_simd::*;
+
+ #[should_panic]
+ #[test]
+ fn test_uniform_bad_limits_equal_int() {
+ Uniform::new(10, 10);
+ }
+
+ #[test]
+ fn test_uniform_good_limits_equal_int() {
+ let mut rng = ::test::rng(804);
+ let dist = Uniform::new_inclusive(10, 10);
+ for _ in 0..20 {
+ assert_eq!(rng.sample(dist), 10);
+ }
+ }
+
+ #[should_panic]
+ #[test]
+ fn test_uniform_bad_limits_flipped_int() {
+ Uniform::new(10, 5);
+ }
+
+ #[test]
+ fn test_integers() {
+ use core::{i8, i16, i32, i64, isize};
+ use core::{u8, u16, u32, u64, usize};
+ #[cfg(rust_1_26)]
+ use core::{i128, u128};
+
+ let mut rng = ::test::rng(251);
+ macro_rules! t {
+ ($ty:ident, $v:expr, $le:expr, $lt:expr) => {{
+ for &(low, high) in $v.iter() {
+ let my_uniform = Uniform::new(low, high);
+ for _ in 0..1000 {
+ let v: $ty = rng.sample(my_uniform);
+ assert!($le(low, v) && $lt(v, high));
+ }
+
+ let my_uniform = Uniform::new_inclusive(low, high);
+ for _ in 0..1000 {
+ let v: $ty = rng.sample(my_uniform);
+ assert!($le(low, v) && $le(v, high));
+ }
+
+ let my_uniform = Uniform::new(&low, high);
+ for _ in 0..1000 {
+ let v: $ty = rng.sample(my_uniform);
+ assert!($le(low, v) && $lt(v, high));
+ }
+
+ let my_uniform = Uniform::new_inclusive(&low, &high);
+ for _ in 0..1000 {
+ let v: $ty = rng.sample(my_uniform);
+ assert!($le(low, v) && $le(v, high));
+ }
+
+ for _ in 0..1000 {
+ let v: $ty = rng.gen_range(low, high);
+ assert!($le(low, v) && $lt(v, high));
+ }
+ }
+ }};
+
+ // scalar bulk
+ ($($ty:ident),*) => {{
+ $(t!(
+ $ty,
+ [(0, 10), (10, 127), ($ty::MIN, $ty::MAX)],
+ |x, y| x <= y,
+ |x, y| x < y
+ );)*
+ }};
+
+ // simd bulk
+ ($($ty:ident),* => $scalar:ident) => {{
+ $(t!(
+ $ty,
+ [
+ ($ty::splat(0), $ty::splat(10)),
+ ($ty::splat(10), $ty::splat(127)),
+ ($ty::splat($scalar::MIN), $ty::splat($scalar::MAX)),
+ ],
+ |x: $ty, y| x.le(y).all(),
+ |x: $ty, y| x.lt(y).all()
+ );)*
+ }};
+ }
+ t!(i8, i16, i32, i64, isize,
+ u8, u16, u32, u64, usize);
+ #[cfg(rust_1_26)]
+ t!(i128, u128);
+
+ #[cfg(all(feature = "simd_support", feature = "nightly"))]
+ {
+ t!(u8x2, u8x4, u8x8, u8x16, u8x32, u8x64 => u8);
+ t!(i8x2, i8x4, i8x8, i8x16, i8x32, i8x64 => i8);
+ t!(u16x2, u16x4, u16x8, u16x16, u16x32 => u16);
+ t!(i16x2, i16x4, i16x8, i16x16, i16x32 => i16);
+ t!(u32x2, u32x4, u32x8, u32x16 => u32);
+ t!(i32x2, i32x4, i32x8, i32x16 => i32);
+ t!(u64x2, u64x4, u64x8 => u64);
+ t!(i64x2, i64x4, i64x8 => i64);
+ }
+ }
+
+ #[test]
+ fn test_floats() {
+ let mut rng = ::test::rng(252);
+ let mut zero_rng = StepRng::new(0, 0);
+ let mut max_rng = StepRng::new(0xffff_ffff_ffff_ffff, 0);
+ macro_rules! t {
+ ($ty:ty, $f_scalar:ident, $bits_shifted:expr) => {{
+ let v: &[($f_scalar, $f_scalar)]=
+ &[(0.0, 100.0),
+ (-1e35, -1e25),
+ (1e-35, 1e-25),
+ (-1e35, 1e35),
+ (<$f_scalar>::from_bits(0), <$f_scalar>::from_bits(3)),
+ (-<$f_scalar>::from_bits(10), -<$f_scalar>::from_bits(1)),
+ (-<$f_scalar>::from_bits(5), 0.0),
+ (-<$f_scalar>::from_bits(7), -0.0),
+ (10.0, ::core::$f_scalar::MAX),
+ (-100.0, ::core::$f_scalar::MAX),
+ (-::core::$f_scalar::MAX / 5.0, ::core::$f_scalar::MAX),
+ (-::core::$f_scalar::MAX, ::core::$f_scalar::MAX / 5.0),
+ (-::core::$f_scalar::MAX * 0.8, ::core::$f_scalar::MAX * 0.7),
+ (-::core::$f_scalar::MAX, ::core::$f_scalar::MAX),
+ ];
+ for &(low_scalar, high_scalar) in v.iter() {
+ for lane in 0..<$ty>::lanes() {
+ let low = <$ty>::splat(0.0 as $f_scalar).replace(lane, low_scalar);
+ let high = <$ty>::splat(1.0 as $f_scalar).replace(lane, high_scalar);
+ let my_uniform = Uniform::new(low, high);
+ let my_incl_uniform = Uniform::new_inclusive(low, high);
+ for _ in 0..100 {
+ let v = rng.sample(my_uniform).extract(lane);
+ assert!(low_scalar <= v && v < high_scalar);
+ let v = rng.sample(my_incl_uniform).extract(lane);
+ assert!(low_scalar <= v && v <= high_scalar);
+ let v = rng.gen_range(low, high).extract(lane);
+ assert!(low_scalar <= v && v < high_scalar);
+ }
+
+ assert_eq!(rng.sample(Uniform::new_inclusive(low, low)).extract(lane), low_scalar);
+
+ assert_eq!(zero_rng.sample(my_uniform).extract(lane), low_scalar);
+ assert_eq!(zero_rng.sample(my_incl_uniform).extract(lane), low_scalar);
+ assert_eq!(zero_rng.gen_range(low, high).extract(lane), low_scalar);
+ assert!(max_rng.sample(my_uniform).extract(lane) < high_scalar);
+ assert!(max_rng.sample(my_incl_uniform).extract(lane) <= high_scalar);
+
+ // Don't run this test for really tiny differences between high and low
+ // since for those rounding might result in selecting high for a very
+ // long time.
+ if (high_scalar - low_scalar) > 0.0001 {
+ let mut lowering_max_rng =
+ StepRng::new(0xffff_ffff_ffff_ffff,
+ (-1i64 << $bits_shifted) as u64);
+ assert!(lowering_max_rng.gen_range(low, high).extract(lane) < high_scalar);
+ }
+ }
+ }
+
+ assert_eq!(rng.sample(Uniform::new_inclusive(::core::$f_scalar::MAX,
+ ::core::$f_scalar::MAX)),
+ ::core::$f_scalar::MAX);
+ assert_eq!(rng.sample(Uniform::new_inclusive(-::core::$f_scalar::MAX,
+ -::core::$f_scalar::MAX)),
+ -::core::$f_scalar::MAX);
+ }}
+ }
+
+ t!(f32, f32, 32 - 23);
+ t!(f64, f64, 64 - 52);
+ #[cfg(feature="simd_support")]
+ {
+ t!(f32x2, f32, 32 - 23);
+ t!(f32x4, f32, 32 - 23);
+ t!(f32x8, f32, 32 - 23);
+ t!(f32x16, f32, 32 - 23);
+ t!(f64x2, f64, 64 - 52);
+ t!(f64x4, f64, 64 - 52);
+ t!(f64x8, f64, 64 - 52);
+ }
+ }
+
+ #[test]
+ #[cfg(all(feature="std",
+ not(target_arch = "wasm32"),
+ not(target_arch = "asmjs")))]
+ fn test_float_assertions() {
+ use std::panic::catch_unwind;
+ use super::SampleUniform;
+ fn range<T: SampleUniform>(low: T, high: T) {
+ let mut rng = ::test::rng(253);
+ rng.gen_range(low, high);
+ }
+
+ macro_rules! t {
+ ($ty:ident, $f_scalar:ident) => {{
+ let v: &[($f_scalar, $f_scalar)] =
+ &[(::std::$f_scalar::NAN, 0.0),
+ (1.0, ::std::$f_scalar::NAN),
+ (::std::$f_scalar::NAN, ::std::$f_scalar::NAN),
+ (1.0, 0.5),
+ (::std::$f_scalar::MAX, -::std::$f_scalar::MAX),
+ (::std::$f_scalar::INFINITY, ::std::$f_scalar::INFINITY),
+ (::std::$f_scalar::NEG_INFINITY, ::std::$f_scalar::NEG_INFINITY),
+ (::std::$f_scalar::NEG_INFINITY, 5.0),
+ (5.0, ::std::$f_scalar::INFINITY),
+ (::std::$f_scalar::NAN, ::std::$f_scalar::INFINITY),
+ (::std::$f_scalar::NEG_INFINITY, ::std::$f_scalar::NAN),
+ (::std::$f_scalar::NEG_INFINITY, ::std::$f_scalar::INFINITY),
+ ];
+ for &(low_scalar, high_scalar) in v.iter() {
+ for lane in 0..<$ty>::lanes() {
+ let low = <$ty>::splat(0.0 as $f_scalar).replace(lane, low_scalar);
+ let high = <$ty>::splat(1.0 as $f_scalar).replace(lane, high_scalar);
+ assert!(catch_unwind(|| range(low, high)).is_err());
+ assert!(catch_unwind(|| Uniform::new(low, high)).is_err());
+ assert!(catch_unwind(|| Uniform::new_inclusive(low, high)).is_err());
+ assert!(catch_unwind(|| range(low, low)).is_err());
+ assert!(catch_unwind(|| Uniform::new(low, low)).is_err());
+ }
+ }
+ }}
+ }
+
+ t!(f32, f32);
+ t!(f64, f64);
+ #[cfg(feature="simd_support")]
+ {
+ t!(f32x2, f32);
+ t!(f32x4, f32);
+ t!(f32x8, f32);
+ t!(f32x16, f32);
+ t!(f64x2, f64);
+ t!(f64x4, f64);
+ t!(f64x8, f64);
+ }
+ }
+
+
+ #[test]
+ #[cfg(any(feature = "std", rust_1_25))]
+ fn test_durations() {
+ #[cfg(feature = "std")]
+ use std::time::Duration;
+ #[cfg(all(not(feature = "std"), rust_1_25))]
+ use core::time::Duration;
+
+ let mut rng = ::test::rng(253);
+
+ let v = &[(Duration::new(10, 50000), Duration::new(100, 1234)),
+ (Duration::new(0, 100), Duration::new(1, 50)),
+ (Duration::new(0, 0), Duration::new(u64::max_value(), 999_999_999))];
+ for &(low, high) in v.iter() {
+ let my_uniform = Uniform::new(low, high);
+ for _ in 0..1000 {
+ let v = rng.sample(my_uniform);
+ assert!(low <= v && v < high);
+ }
+ }
+ }
+
+ #[test]
+ fn test_custom_uniform() {
+ use distributions::uniform::{UniformSampler, UniformFloat, SampleUniform, SampleBorrow};
+ #[derive(Clone, Copy, PartialEq, PartialOrd)]
+ struct MyF32 {
+ x: f32,
+ }
+ #[derive(Clone, Copy, Debug)]
+ struct UniformMyF32 {
+ inner: UniformFloat<f32>,
+ }
+ impl UniformSampler for UniformMyF32 {
+ type X = MyF32;
+ fn new<B1, B2>(low: B1, high: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ UniformMyF32 {
+ inner: UniformFloat::<f32>::new(low.borrow().x, high.borrow().x),
+ }
+ }
+ fn new_inclusive<B1, B2>(low: B1, high: B2) -> Self
+ where B1: SampleBorrow<Self::X> + Sized,
+ B2: SampleBorrow<Self::X> + Sized
+ {
+ UniformSampler::new(low, high)
+ }
+ fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Self::X {
+ MyF32 { x: self.inner.sample(rng) }
+ }
+ }
+ impl SampleUniform for MyF32 {
+ type Sampler = UniformMyF32;
+ }
+
+ let (low, high) = (MyF32{ x: 17.0f32 }, MyF32{ x: 22.0f32 });
+ let uniform = Uniform::new(low, high);
+ let mut rng = ::test::rng(804);
+ for _ in 0..100 {
+ let x: MyF32 = rng.sample(uniform);
+ assert!(low <= x && x < high);
+ }
+ }
+
+ #[test]
+ fn test_uniform_from_std_range() {
+ let r = Uniform::from(2u32..7);
+ assert_eq!(r.inner.low, 2);
+ assert_eq!(r.inner.range, 5);
+ let r = Uniform::from(2.0f64..7.0);
+ assert_eq!(r.inner.low, 2.0);
+ assert_eq!(r.inner.scale, 5.0);
+ }
+
+ #[cfg(rust_1_27)]
+ #[test]
+ fn test_uniform_from_std_range_inclusive() {
+ let r = Uniform::from(2u32..=6);
+ assert_eq!(r.inner.low, 2);
+ assert_eq!(r.inner.range, 5);
+ let r = Uniform::from(2.0f64..=7.0);
+ assert_eq!(r.inner.low, 2.0);
+ assert!(r.inner.scale > 5.0);
+ assert!(r.inner.scale < 5.0 + 1e-14);
+ }
+}