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 </pre><pre class="rust"><code><span class="comment">// Copyright 2018-2020 Developers of the Rand project.
 // Copyright 2017 The Rust Project Developers.
 //
 // Licensed under the Apache License, Version 2.0 &lt;LICENSE-APACHE or
 // https://www.apache.org/licenses/LICENSE-2.0&gt; or the MIT license
 // &lt;LICENSE-MIT or https://opensource.org/licenses/MIT&gt;, at your
 // option. This file may not be copied, modified, or distributed
 // except according to those terms.

 </span><span class="doccomment">//! 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..=10) {
 //!     // sample a point from the square with sides -10 - 10 in two dimensions
 //!     let (x, y) = (rng.sample(side), rng.sample(side));
 //!     println!(&quot;Point: {}, {}&quot;, 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 &quot;register&quot; 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 &lt; high`). The example below merely wraps another back-end.
 //!
 //! The `new`, `new_inclusive` and `sample_single` functions use arguments of
 //! type SampleBorrow&lt;X&gt; 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(UniformFloat&lt;f32&gt;);
 //!
 //! impl UniformSampler for UniformMyF32 {
 //!     type X = MyF32;
 //!     fn new&lt;B1, B2&gt;(low: B1, high: B2) -&gt; Self
 //!         where B1: SampleBorrow&lt;Self::X&gt; + Sized,
 //!               B2: SampleBorrow&lt;Self::X&gt; + Sized
 //!     {
 //!         UniformMyF32(UniformFloat::&lt;f32&gt;::new(low.borrow().0, high.borrow().0))
 //!     }
 //!     fn new_inclusive&lt;B1, B2&gt;(low: B1, high: B2) -&gt; Self
 //!         where B1: SampleBorrow&lt;Self::X&gt; + Sized,
 //!               B2: SampleBorrow&lt;Self::X&gt; + Sized
 //!     {
 //!         UniformMyF32(UniformFloat::&lt;f32&gt;::new_inclusive(
 //!             low.borrow().0,
 //!             high.borrow().0,
 //!         ))
 //!     }
 //!     fn sample&lt;R: Rng + ?Sized&gt;(&amp;self, rng: &amp;mut R) -&gt; Self::X {
 //!         MyF32(self.0.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(&amp;mut thread_rng());
 //! ```
 //!
 //! [`SampleUniform`]: crate::distributions::uniform::SampleUniform
 //! [`UniformSampler`]: crate::distributions::uniform::UniformSampler
 //! [`UniformInt`]: crate::distributions::uniform::UniformInt
 //! [`UniformFloat`]: crate::distributions::uniform::UniformFloat
 //! [`UniformDuration`]: crate::distributions::uniform::UniformDuration
 //! [`SampleBorrow::borrow`]: crate::distributions::uniform::SampleBorrow::borrow

 </span><span class="kw">use </span>core::time::Duration;
 <span class="kw">use </span>core::ops::{Range, RangeInclusive};

 <span class="kw">use </span><span class="kw">crate</span>::distributions::float::IntoFloat;
 <span class="kw">use </span><span class="kw">crate</span>::distributions::utils::{BoolAsSIMD, FloatAsSIMD, FloatSIMDUtils, WideningMultiply};
 <span class="kw">use </span><span class="kw">crate</span>::distributions::Distribution;
 <span class="kw">use crate</span>::{Rng, RngCore};

 <span class="attribute">#[cfg(not(feature = <span class="string">&quot;std&quot;</span>))]
 #[allow(unused_imports)] </span><span class="comment">// rustc doesn&#39;t detect that this is actually used
 </span><span class="kw">use </span><span class="kw">crate</span>::distributions::utils::Float;

 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)] </span><span class="kw">use </span>packed_simd::<span class="kw-2">*</span>;

 <span class="attribute">#[cfg(feature = <span class="string">&quot;serde1&quot;</span>)]
 </span><span class="kw">use </span>serde::{Serialize, Deserialize};

 <span class="doccomment">/// 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. If only one sample
 /// from the range is required, [`Rng::gen_range`] can be more efficient.
 ///
 /// 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::&lt;u8&gt;() % 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 `&lt; low` or `&gt;= high`.
 ///
 /// # Example
 ///
 /// ```
 /// use rand::distributions::{Distribution, Uniform};
 ///
 /// let between = Uniform::from(10..10000);
 /// let mut rng = rand::thread_rng();
 /// let mut sum = 0;
 /// for _ in 0..1000 {
 ///     sum += between.sample(&amp;mut rng);
 /// }
 /// println!(&quot;{}&quot;, sum);
 /// ```
 ///
 /// For a single sample, [`Rng::gen_range`] may be preferred:
 ///
 /// ```
 /// use rand::Rng;
 ///
 /// let mut rng = rand::thread_rng();
 /// println!(&quot;{}&quot;, rng.gen_range(0..10));
 /// ```
 ///
 /// [`new`]: Uniform::new
 /// [`new_inclusive`]: Uniform::new_inclusive
 /// [`Rng::gen_range`]: Rng::gen_range
 </span><span class="attribute">#[derive(Clone, Copy, Debug, PartialEq)]
 #[cfg_attr(feature = <span class="string">&quot;serde1&quot;</span>, derive(Serialize, Deserialize))]
 #[cfg_attr(feature = <span class="string">&quot;serde1&quot;</span>, serde(bound(serialize = <span class="string">&quot;X::Sampler: Serialize&quot;</span>)))]
 #[cfg_attr(feature = <span class="string">&quot;serde1&quot;</span>, serde(bound(deserialize = <span class="string">&quot;X::Sampler: Deserialize&lt;&#39;de&gt;&quot;</span>)))]
 </span><span class="kw">pub struct </span>Uniform&lt;X: SampleUniform&gt;(X::Sampler);

 <span class="kw">impl</span>&lt;X: SampleUniform&gt; Uniform&lt;X&gt; {
     <span class="doccomment">/// Create a new `Uniform` instance which samples uniformly from the half
     /// open range `[low, high)` (excluding `high`). Panics if `low &gt;= high`.
     </span><span class="kw">pub fn </span>new&lt;B1, B2&gt;(low: B1, high: B2) -&gt; Uniform&lt;X&gt;
     <span class="kw">where
         </span>B1: SampleBorrow&lt;X&gt; + Sized,
         B2: SampleBorrow&lt;X&gt; + Sized,
     {
         Uniform(X::Sampler::new(low, high))
     }

     <span class="doccomment">/// Create a new `Uniform` instance which samples uniformly from the closed
     /// range `[low, high]` (inclusive). Panics if `low &gt; high`.
     </span><span class="kw">pub fn </span>new_inclusive&lt;B1, B2&gt;(low: B1, high: B2) -&gt; Uniform&lt;X&gt;
     <span class="kw">where
         </span>B1: SampleBorrow&lt;X&gt; + Sized,
         B2: SampleBorrow&lt;X&gt; + Sized,
     {
         Uniform(X::Sampler::new_inclusive(low, high))
     }
 }

 <span class="kw">impl</span>&lt;X: SampleUniform&gt; Distribution&lt;X&gt; <span class="kw">for </span>Uniform&lt;X&gt; {
     <span class="kw">fn </span>sample&lt;R: Rng + <span class="question-mark">?</span>Sized&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; X {
         <span class="self">self</span>.<span class="number">0</span>.sample(rng)
     }
 }

 <span class="doccomment">/// 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.
 ///
 /// [module documentation]: crate::distributions::uniform
 </span><span class="kw">pub trait </span>SampleUniform: Sized {
     <span class="doccomment">/// The `UniformSampler` implementation supporting type `X`.
     </span><span class="kw">type </span>Sampler: UniformSampler&lt;X = <span class="self">Self</span>&gt;;
 }

 <span class="doccomment">/// 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]: crate::distributions::uniform
 /// [`sample_single`]: UniformSampler::sample_single
 </span><span class="kw">pub trait </span>UniformSampler: Sized {
     <span class="doccomment">/// The type sampled by this implementation.
     </span><span class="kw">type </span>X;

     <span class="doccomment">/// 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 &lt; high` before calling this.
     </span><span class="kw">fn </span>new&lt;B1, B2&gt;(low: B1, high: B2) -&gt; <span class="self">Self
     </span><span class="kw">where
         </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
         B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized;

     <span class="doccomment">/// Construct self, with inclusive bounds `[low, high]`.
     ///
     /// Usually users should not call this directly but instead use
     /// `Uniform::new_inclusive`, which asserts that `low &lt;= high` before
     /// calling this.
     </span><span class="kw">fn </span>new_inclusive&lt;B1, B2&gt;(low: B1, high: B2) -&gt; <span class="self">Self
     </span><span class="kw">where
         </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
         B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized;

     <span class="doccomment">/// Sample a value.
     </span><span class="kw">fn </span>sample&lt;R: Rng + <span class="question-mark">?</span>Sized&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X;

     <span class="doccomment">/// Sample a single value uniformly from a range with inclusive lower bound
     /// and exclusive upper bound `[low, high)`.
     ///
     /// By default this is implemented using
     /// `UniformSampler::new(low, high).sample(rng)`. However, for some types
     /// more optimal implementations for single usage may be provided via this
     /// method (which is the case for integers and floats).
     /// Results may not be identical.
     ///
     /// Note that to use this method in a generic context, the type needs to be
     /// retrieved via `SampleUniform::Sampler` as follows:
     /// ```
     /// use rand::{thread_rng, distributions::uniform::{SampleUniform, UniformSampler}};
     /// # #[allow(unused)]
     /// fn sample_from_range&lt;T: SampleUniform&gt;(lb: T, ub: T) -&gt; T {
     ///     let mut rng = thread_rng();
     ///     &lt;T as SampleUniform&gt;::Sampler::sample_single(lb, ub, &amp;mut rng)
     /// }
     /// ```
     </span><span class="kw">fn </span>sample_single&lt;R: Rng + <span class="question-mark">?</span>Sized, B1, B2&gt;(low: B1, high: B2, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X
     <span class="kw">where
         </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
         B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
     {
         <span class="kw">let </span>uniform: <span class="self">Self </span>= UniformSampler::new(low, high);
         uniform.sample(rng)
     }

     <span class="doccomment">/// Sample a single value uniformly from a range with inclusive lower bound
     /// and inclusive upper bound `[low, high]`.
     ///
     /// By default this is implemented using
     /// `UniformSampler::new_inclusive(low, high).sample(rng)`. However, for
     /// some types more optimal implementations for single usage may be provided
     /// via this method.
     /// Results may not be identical.
     </span><span class="kw">fn </span>sample_single_inclusive&lt;R: Rng + <span class="question-mark">?</span>Sized, B1, B2&gt;(low: B1, high: B2, rng: <span class="kw-2">&amp;mut </span>R)
         -&gt; <span class="self">Self</span>::X
         <span class="kw">where </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
               B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized
     {
         <span class="kw">let </span>uniform: <span class="self">Self </span>= UniformSampler::new_inclusive(low, high);
         uniform.sample(rng)
     }
 }

 <span class="kw">impl</span>&lt;X: SampleUniform&gt; From&lt;Range&lt;X&gt;&gt; <span class="kw">for </span>Uniform&lt;X&gt; {
     <span class="kw">fn </span>from(r: ::core::ops::Range&lt;X&gt;) -&gt; Uniform&lt;X&gt; {
         Uniform::new(r.start, r.end)
     }
 }

 <span class="kw">impl</span>&lt;X: SampleUniform&gt; From&lt;RangeInclusive&lt;X&gt;&gt; <span class="kw">for </span>Uniform&lt;X&gt; {
     <span class="kw">fn </span>from(r: ::core::ops::RangeInclusive&lt;X&gt;) -&gt; Uniform&lt;X&gt; {
         Uniform::new_inclusive(r.start(), r.end())
     }
 }


 <span class="doccomment">/// Helper trait similar to [`Borrow`] but implemented
 /// only for SampleUniform and references to SampleUniform in
 /// order to resolve ambiguity issues.
 ///
 /// [`Borrow`]: std::borrow::Borrow
 </span><span class="kw">pub trait </span>SampleBorrow&lt;Borrowed&gt; {
     <span class="doccomment">/// Immutably borrows from an owned value. See [`Borrow::borrow`]
     ///
     /// [`Borrow::borrow`]: std::borrow::Borrow::borrow
     </span><span class="kw">fn </span>borrow(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="kw-2">&amp;</span>Borrowed;
 }
 <span class="kw">impl</span>&lt;Borrowed&gt; SampleBorrow&lt;Borrowed&gt; <span class="kw">for </span>Borrowed
 <span class="kw">where </span>Borrowed: SampleUniform
 {
     <span class="attribute">#[inline(always)]
     </span><span class="kw">fn </span>borrow(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="kw-2">&amp;</span>Borrowed {
         <span class="self">self
     </span>}
 }
 <span class="kw">impl</span>&lt;<span class="lifetime">&#39;a</span>, Borrowed&gt; SampleBorrow&lt;Borrowed&gt; <span class="kw">for </span><span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>Borrowed
 <span class="kw">where </span>Borrowed: SampleUniform
 {
     <span class="attribute">#[inline(always)]
     </span><span class="kw">fn </span>borrow(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="kw-2">&amp;</span>Borrowed {
         <span class="kw-2">*</span><span class="self">self
     </span>}
 }

 <span class="doccomment">/// Range that supports generating a single sample efficiently.
 ///
 /// Any type implementing this trait can be used to specify the sampled range
 /// for `Rng::gen_range`.
 </span><span class="kw">pub trait </span>SampleRange&lt;T&gt; {
     <span class="doccomment">/// Generate a sample from the given range.
     </span><span class="kw">fn </span>sample_single&lt;R: RngCore + <span class="question-mark">?</span>Sized&gt;(<span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; T;

     <span class="doccomment">/// Check whether the range is empty.
     </span><span class="kw">fn </span>is_empty(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool;
 }

 <span class="kw">impl</span>&lt;T: SampleUniform + PartialOrd&gt; SampleRange&lt;T&gt; <span class="kw">for </span>Range&lt;T&gt; {
     <span class="attribute">#[inline]
     </span><span class="kw">fn </span>sample_single&lt;R: RngCore + <span class="question-mark">?</span>Sized&gt;(<span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; T {
         T::Sampler::sample_single(<span class="self">self</span>.start, <span class="self">self</span>.end, rng)
     }

     <span class="attribute">#[inline]
     </span><span class="kw">fn </span>is_empty(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
         !(<span class="self">self</span>.start &lt; <span class="self">self</span>.end)
     }
 }

 <span class="kw">impl</span>&lt;T: SampleUniform + PartialOrd&gt; SampleRange&lt;T&gt; <span class="kw">for </span>RangeInclusive&lt;T&gt; {
     <span class="attribute">#[inline]
     </span><span class="kw">fn </span>sample_single&lt;R: RngCore + <span class="question-mark">?</span>Sized&gt;(<span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; T {
         T::Sampler::sample_single_inclusive(<span class="self">self</span>.start(), <span class="self">self</span>.end(), rng)
     }

     <span class="attribute">#[inline]
     </span><span class="kw">fn </span>is_empty(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
         !(<span class="self">self</span>.start() &lt;= <span class="self">self</span>.end())
     }
 }


 <span class="comment">////////////////////////////////////////////////////////////////////////////////

 // What follows are all back-ends.


 </span><span class="doccomment">/// 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 simplicity, we use the same generic struct `UniformInt&lt;X&gt;` for all
 /// integer types `X`. This gives us only one field type, `X`; to store unsigned
 /// values of this size, we take use the fact that these conversions are no-ops.
 ///
 /// For a closed range, the number of possible numbers we should generate is
 /// `range = (high - low + 1)`. To avoid bias, we must ensure that the size of
 /// our sample space, `zone`, is a multiple of `range`; other values must be
 /// rejected (by replacing with a new random sample).
 ///
 /// As a special case, we use `range = 0` to represent the full range of the
 /// result type (i.e. for `new_inclusive($ty::MIN, $ty::MAX)`).
 ///
 /// The optimum `zone` is the largest product of `range` which fits in our
 /// (unsigned) target type. We calculate this by calculating how many numbers we
 /// must reject: `reject = (MAX + 1) % range = (MAX - range + 1) % range`. Any (large)
 /// product of `range` will suffice, thus in `sample_single` we multiply by a
 /// power of 2 via bit-shifting (faster but may cause more rejections).
 ///
 /// The smallest integer PRNGs generate is `u32`. For 8- and 16-bit outputs we
 /// use `u32` for our `zone` and samples (because it&#39;s not slower and because
 /// it reduces the chance of having to reject a sample). In this case we cannot
 /// store `zone` in the target type since it is too large, however we know
 /// `ints_to_reject &lt; range &lt;= $unsigned::MAX`.
 ///
 /// 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.
 </span><span class="attribute">#[derive(Clone, Copy, Debug, PartialEq)]
 #[cfg_attr(feature = <span class="string">&quot;serde1&quot;</span>, derive(Serialize, Deserialize))]
 </span><span class="kw">pub struct </span>UniformInt&lt;X&gt; {
     low: X,
     range: X,
     z: X, <span class="comment">// either ints_to_reject or zone depending on implementation
 </span>}

 <span class="macro">macro_rules! </span>uniform_int_impl {
     (<span class="macro-nonterminal">$ty</span>:ty, <span class="macro-nonterminal">$unsigned</span>:ident, <span class="macro-nonterminal">$u_large</span>:ident) =&gt; {
         <span class="kw">impl </span>SampleUniform <span class="kw">for </span><span class="macro-nonterminal">$ty </span>{
             <span class="kw">type </span>Sampler = UniformInt&lt;<span class="macro-nonterminal">$ty</span>&gt;;
         }

         <span class="kw">impl </span>UniformSampler <span class="kw">for </span>UniformInt&lt;<span class="macro-nonterminal">$ty</span>&gt; {
             <span class="comment">// We play free and fast with unsigned vs signed here
             // (when $ty is signed), but that&#39;s fine, since the
             // contract of this macro is for $ty and $unsigned to be
             // &quot;bit-equal&quot;, so casting between them is a no-op.

             </span><span class="kw">type </span>X = <span class="macro-nonterminal">$ty</span>;

             <span class="attribute">#[inline] </span><span class="comment">// if the range is constant, this helps LLVM to do the
                       // calculations at compile-time.
             </span><span class="kw">fn </span>new&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
             </span><span class="kw">where
                 </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                 B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
             {
                 <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
                 <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
                 <span class="macro">assert!</span>(low &lt; high, <span class="string">&quot;Uniform::new called with `low &gt;= high`&quot;</span>);
                 UniformSampler::new_inclusive(low, high - <span class="number">1</span>)
             }

             <span class="attribute">#[inline] </span><span class="comment">// if the range is constant, this helps LLVM to do the
                       // calculations at compile-time.
             </span><span class="kw">fn </span>new_inclusive&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
             </span><span class="kw">where
                 </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                 B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
             {
                 <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
                 <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
                 <span class="macro">assert!</span>(
                     low &lt;= high,
                     <span class="string">&quot;Uniform::new_inclusive called with `low &gt; high`&quot;
                 </span>);
                 <span class="kw">let </span>unsigned_max = ::core::<span class="macro-nonterminal">$u_large::MAX</span>;

                 <span class="kw">let </span>range = high.wrapping_sub(low).wrapping_add(<span class="number">1</span>) <span class="kw">as </span><span class="macro-nonterminal">$unsigned</span>;
                 <span class="kw">let </span>ints_to_reject = <span class="kw">if </span>range &gt; <span class="number">0 </span>{
                     <span class="kw">let </span>range = <span class="macro-nonterminal">$u_large::from</span>(range);
                     (unsigned_max - range + <span class="number">1</span>) % range
                 } <span class="kw">else </span>{
                     <span class="number">0
                 </span>};

                 UniformInt {
                     low,
                     <span class="comment">// These are really $unsigned values, but store as $ty:
                     </span>range: range <span class="kw">as </span><span class="macro-nonterminal">$ty</span>,
                     z: ints_to_reject <span class="kw">as </span><span class="macro-nonterminal">$unsigned </span><span class="kw">as </span><span class="macro-nonterminal">$ty</span>,
                 }
             }

             <span class="attribute">#[inline]
             </span><span class="kw">fn </span>sample&lt;R: Rng + <span class="question-mark">?</span>Sized&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X {
                 <span class="kw">let </span>range = <span class="self">self</span>.range <span class="kw">as </span><span class="macro-nonterminal">$unsigned </span><span class="kw">as </span><span class="macro-nonterminal">$u_large</span>;
                 <span class="kw">if </span>range &gt; <span class="number">0 </span>{
                     <span class="kw">let </span>unsigned_max = ::core::<span class="macro-nonterminal">$u_large::MAX</span>;
                     <span class="kw">let </span>zone = unsigned_max - (<span class="self">self</span>.z <span class="kw">as </span><span class="macro-nonterminal">$unsigned </span><span class="kw">as </span><span class="macro-nonterminal">$u_large</span>);
                     <span class="kw">loop </span>{
                         <span class="kw">let </span>v: <span class="macro-nonterminal">$u_large </span>= rng.gen();
                         <span class="kw">let </span>(hi, lo) = v.wmul(range);
                         <span class="kw">if </span>lo &lt;= zone {
                             <span class="kw">return </span><span class="self">self</span>.low.wrapping_add(hi <span class="kw">as </span><span class="macro-nonterminal">$ty</span>);
                         }
                     }
                 } <span class="kw">else </span>{
                     <span class="comment">// Sample from the entire integer range.
                     </span>rng.gen()
                 }
             }

             <span class="attribute">#[inline]
             </span><span class="kw">fn </span>sample_single&lt;R: Rng + <span class="question-mark">?</span>Sized, B1, B2&gt;(low_b: B1, high_b: B2, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X
             <span class="kw">where
                 </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                 B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
             {
                 <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
                 <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
                 <span class="macro">assert!</span>(low &lt; high, <span class="string">&quot;UniformSampler::sample_single: low &gt;= high&quot;</span>);
                 <span class="self">Self</span>::sample_single_inclusive(low, high - <span class="number">1</span>, rng)
             }

             <span class="attribute">#[inline]
             </span><span class="kw">fn </span>sample_single_inclusive&lt;R: Rng + <span class="question-mark">?</span>Sized, B1, B2&gt;(low_b: B1, high_b: B2, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X
             <span class="kw">where
                 </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                 B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
             {
                 <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
                 <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
                 <span class="macro">assert!</span>(low &lt;= high, <span class="string">&quot;UniformSampler::sample_single_inclusive: low &gt; high&quot;</span>);
                 <span class="kw">let </span>range = high.wrapping_sub(low).wrapping_add(<span class="number">1</span>) <span class="kw">as </span><span class="macro-nonterminal">$unsigned </span><span class="kw">as </span><span class="macro-nonterminal">$u_large</span>;
                 <span class="comment">// If the above resulted in wrap-around to 0, the range is $ty::MIN..=$ty::MAX,
                 // and any integer will do.
                 </span><span class="kw">if </span>range == <span class="number">0 </span>{
                     <span class="kw">return </span>rng.gen();
                 }

                 <span class="kw">let </span>zone = <span class="kw">if </span>::core::<span class="macro-nonterminal">$unsigned::MAX </span>&lt;= ::core::u16::MAX <span class="kw">as </span><span class="macro-nonterminal">$unsigned </span>{
                     <span class="comment">// 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.
                     </span><span class="kw">let </span>unsigned_max: <span class="macro-nonterminal">$u_large </span>= ::core::<span class="macro-nonterminal">$u_large::MAX</span>;
                     <span class="kw">let </span>ints_to_reject = (unsigned_max - range + <span class="number">1</span>) % range;
                     unsigned_max - ints_to_reject
                 } <span class="kw">else </span>{
                     <span class="comment">// conservative but fast approximation. `- 1` is necessary to allow the
                     // same comparison without bias.
                     </span>(range &lt;&lt; range.leading_zeros()).wrapping_sub(<span class="number">1</span>)
                 };

                 <span class="kw">loop </span>{
                     <span class="kw">let </span>v: <span class="macro-nonterminal">$u_large </span>= rng.gen();
                     <span class="kw">let </span>(hi, lo) = v.wmul(range);
                     <span class="kw">if </span>lo &lt;= zone {
                         <span class="kw">return </span>low.wrapping_add(hi <span class="kw">as </span><span class="macro-nonterminal">$ty</span>);
                     }
                 }
             }
         }
     };
 }

 <span class="macro">uniform_int_impl! </span>{ i8, u8, u32 }
 <span class="macro">uniform_int_impl! </span>{ i16, u16, u32 }
 <span class="macro">uniform_int_impl! </span>{ i32, u32, u32 }
 <span class="macro">uniform_int_impl! </span>{ i64, u64, u64 }
 <span class="macro">uniform_int_impl! </span>{ i128, u128, u128 }
 <span class="macro">uniform_int_impl! </span>{ isize, usize, usize }
 <span class="macro">uniform_int_impl! </span>{ u8, u8, u32 }
 <span class="macro">uniform_int_impl! </span>{ u16, u16, u32 }
 <span class="macro">uniform_int_impl! </span>{ u32, u32, u32 }
 <span class="macro">uniform_int_impl! </span>{ u64, u64, u64 }
 <span class="macro">uniform_int_impl! </span>{ usize, usize, usize }
 <span class="macro">uniform_int_impl! </span>{ u128, u128, u128 }

 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">macro_rules! </span>uniform_simd_int_impl {
     (<span class="macro-nonterminal">$ty</span>:ident, <span class="macro-nonterminal">$unsigned</span>:ident, <span class="macro-nonterminal">$u_scalar</span>:ident) =&gt; {
         <span class="comment">// The &quot;pick the largest zone that can fit in an `u32`&quot; optimization
         // is less useful here. Multiple lanes complicate things, we don&#39;t
         // know the PRNG&#39;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::&lt;u32x4&gt;::new(0u32, 100)` functionality
         //       perhaps `impl SampleUniform for $u_scalar`?
         </span><span class="kw">impl </span>SampleUniform <span class="kw">for </span><span class="macro-nonterminal">$ty </span>{
             <span class="kw">type </span>Sampler = UniformInt&lt;<span class="macro-nonterminal">$ty</span>&gt;;
         }

         <span class="kw">impl </span>UniformSampler <span class="kw">for </span>UniformInt&lt;<span class="macro-nonterminal">$ty</span>&gt; {
             <span class="kw">type </span>X = <span class="macro-nonterminal">$ty</span>;

             <span class="attribute">#[inline] </span><span class="comment">// if the range is constant, this helps LLVM to do the
                       // calculations at compile-time.
             </span><span class="kw">fn </span>new&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
                 </span><span class="kw">where </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                       B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized
             {
                 <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
                 <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
                 <span class="macro">assert!</span>(low.lt(high).all(), <span class="string">&quot;Uniform::new called with `low &gt;= high`&quot;</span>);
                 UniformSampler::new_inclusive(low, high - <span class="number">1</span>)
             }

             <span class="attribute">#[inline] </span><span class="comment">// if the range is constant, this helps LLVM to do the
                       // calculations at compile-time.
             </span><span class="kw">fn </span>new_inclusive&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
                 </span><span class="kw">where </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                       B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized
             {
                 <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
                 <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
                 <span class="macro">assert!</span>(low.le(high).all(),
                         <span class="string">&quot;Uniform::new_inclusive called with `low &gt; high`&quot;</span>);
                 <span class="kw">let </span>unsigned_max = ::core::<span class="macro-nonterminal">$u_scalar::MAX</span>;

                 <span class="comment">// NOTE: these may need to be replaced with explicitly
                 // wrapping operations if `packed_simd` changes
                 </span><span class="kw">let </span>range: <span class="macro-nonterminal">$unsigned </span>= ((high - low) + <span class="number">1</span>).cast();
                 <span class="comment">// `% 0` will panic at runtime.
                 </span><span class="kw">let </span>not_full_range = range.gt(<span class="macro-nonterminal">$unsigned::splat</span>(<span class="number">0</span>));
                 <span class="comment">// replacing 0 with `unsigned_max` allows a faster `select`
                 // with bitwise OR
                 </span><span class="kw">let </span>modulo = not_full_range.select(range, <span class="macro-nonterminal">$unsigned::splat</span>(unsigned_max));
                 <span class="comment">// wrapping addition
                 </span><span class="kw">let </span>ints_to_reject = (unsigned_max - range + <span class="number">1</span>) % modulo;
                 <span class="comment">// When `range` is 0, `lo` of `v.wmul(range)` will always be
                 // zero which means only one sample is needed.
                 </span><span class="kw">let </span>zone = unsigned_max - ints_to_reject;

                 UniformInt {
                     low,
                     <span class="comment">// These are really $unsigned values, but store as $ty:
                     </span>range: range.cast(),
                     z: zone.cast(),
                 }
             }

             <span class="kw">fn </span>sample&lt;R: Rng + <span class="question-mark">?</span>Sized&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X {
                 <span class="kw">let </span>range: <span class="macro-nonterminal">$unsigned </span>= <span class="self">self</span>.range.cast();
                 <span class="kw">let </span>zone: <span class="macro-nonterminal">$unsigned </span>= <span class="self">self</span>.z.cast();

                 <span class="comment">// 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.
                 </span><span class="kw">let </span><span class="kw-2">mut </span>v: <span class="macro-nonterminal">$unsigned </span>= rng.gen();
                 <span class="kw">loop </span>{
                     <span class="kw">let </span>(hi, lo) = v.wmul(range);
                     <span class="kw">let </span>mask = lo.le(zone);
                     <span class="kw">if </span>mask.all() {
                         <span class="kw">let </span>hi: <span class="macro-nonterminal">$ty </span>= hi.cast();
                         <span class="comment">// wrapping addition
                         </span><span class="kw">let </span>result = <span class="self">self</span>.low + hi;
                         <span class="comment">// `select` here compiles to a blend operation
                         // When `range.eq(0).none()` the compare and blend
                         // operations are avoided.
                         </span><span class="kw">let </span>v: <span class="macro-nonterminal">$ty </span>= v.cast();
                         <span class="kw">return </span>range.gt(<span class="macro-nonterminal">$unsigned::splat</span>(<span class="number">0</span>)).select(result, v);
                     }
                     <span class="comment">// Replace only the failing lanes
                     </span>v = mask.select(v, rng.gen());
                 }
             }
         }
     };

     <span class="comment">// bulk implementation
     </span>($((<span class="macro-nonterminal">$unsigned</span>:ident, <span class="macro-nonterminal">$signed</span>:ident),)+ <span class="macro-nonterminal">$u_scalar</span>:ident) =&gt; {
         $(
             <span class="macro">uniform_simd_int_impl!</span>(<span class="macro-nonterminal">$unsigned</span>, <span class="macro-nonterminal">$unsigned</span>, <span class="macro-nonterminal">$u_scalar</span>);
             <span class="macro">uniform_simd_int_impl!</span>(<span class="macro-nonterminal">$signed</span>, <span class="macro-nonterminal">$unsigned</span>, <span class="macro-nonterminal">$u_scalar</span>);
         )+
     };
 }

 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_simd_int_impl! </span>{
     (u64x2, i64x2),
     (u64x4, i64x4),
     (u64x8, i64x8),
     u64
 }

 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_simd_int_impl! </span>{
     (u32x2, i32x2),
     (u32x4, i32x4),
     (u32x8, i32x8),
     (u32x16, i32x16),
     u32
 }

 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_simd_int_impl! </span>{
     (u16x2, i16x2),
     (u16x4, i16x4),
     (u16x8, i16x8),
     (u16x16, i16x16),
     (u16x32, i16x32),
     u16
 }

 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_simd_int_impl! </span>{
     (u8x2, i8x2),
     (u8x4, i8x4),
     (u8x8, i8x8),
     (u8x16, i8x16),
     (u8x32, i8x32),
     (u8x64, i8x64),
     u8
 }

 <span class="kw">impl </span>SampleUniform <span class="kw">for </span>char {
     <span class="kw">type </span>Sampler = UniformChar;
 }

 <span class="doccomment">/// The back-end implementing [`UniformSampler`] for `char`.
 ///
 /// Unless you are implementing [`UniformSampler`] for your own type, this type
 /// should not be used directly, use [`Uniform`] instead.
 ///
 /// This differs from integer range sampling since the range `0xD800..=0xDFFF`
 /// are used for surrogate pairs in UCS and UTF-16, and consequently are not
 /// valid Unicode code points. We must therefore avoid sampling values in this
 /// range.
 </span><span class="attribute">#[derive(Clone, Copy, Debug)]
 #[cfg_attr(feature = <span class="string">&quot;serde1&quot;</span>, derive(Serialize, Deserialize))]
 </span><span class="kw">pub struct </span>UniformChar {
     sampler: UniformInt&lt;u32&gt;,
 }

 <span class="doccomment">/// UTF-16 surrogate range start
 </span><span class="kw">const </span>CHAR_SURROGATE_START: u32 = <span class="number">0xD800</span>;
 <span class="doccomment">/// UTF-16 surrogate range size
 </span><span class="kw">const </span>CHAR_SURROGATE_LEN: u32 = <span class="number">0xE000 </span>- CHAR_SURROGATE_START;

 <span class="doccomment">/// Convert `char` to compressed `u32`
 </span><span class="kw">fn </span>char_to_comp_u32(c: char) -&gt; u32 {
     <span class="kw">match </span>c <span class="kw">as </span>u32 {
         c <span class="kw">if </span>c &gt;= CHAR_SURROGATE_START =&gt; c - CHAR_SURROGATE_LEN,
         c =&gt; c,
     }
 }

 <span class="kw">impl </span>UniformSampler <span class="kw">for </span>UniformChar {
     <span class="kw">type </span>X = char;

     <span class="attribute">#[inline] </span><span class="comment">// if the range is constant, this helps LLVM to do the
               // calculations at compile-time.
     </span><span class="kw">fn </span>new&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
     </span><span class="kw">where
         </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
         B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
     {
         <span class="kw">let </span>low = char_to_comp_u32(<span class="kw-2">*</span>low_b.borrow());
         <span class="kw">let </span>high = char_to_comp_u32(<span class="kw-2">*</span>high_b.borrow());
         <span class="kw">let </span>sampler = UniformInt::&lt;u32&gt;::new(low, high);
         UniformChar { sampler }
     }

     <span class="attribute">#[inline] </span><span class="comment">// if the range is constant, this helps LLVM to do the
               // calculations at compile-time.
     </span><span class="kw">fn </span>new_inclusive&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
     </span><span class="kw">where
         </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
         B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
     {
         <span class="kw">let </span>low = char_to_comp_u32(<span class="kw-2">*</span>low_b.borrow());
         <span class="kw">let </span>high = char_to_comp_u32(<span class="kw-2">*</span>high_b.borrow());
         <span class="kw">let </span>sampler = UniformInt::&lt;u32&gt;::new_inclusive(low, high);
         UniformChar { sampler }
     }

     <span class="kw">fn </span>sample&lt;R: Rng + <span class="question-mark">?</span>Sized&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X {
         <span class="kw">let </span><span class="kw-2">mut </span>x = <span class="self">self</span>.sampler.sample(rng);
         <span class="kw">if </span>x &gt;= CHAR_SURROGATE_START {
             x += CHAR_SURROGATE_LEN;
         }
         <span class="comment">// SAFETY: x must not be in surrogate range or greater than char::MAX.
         // This relies on range constructors which accept char arguments.
         // Validity of input char values is assumed.
         </span><span class="kw">unsafe </span>{ core::char::from_u32_unchecked(x) }
     }
 }

 <span class="doccomment">/// 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 23 bits of
 /// random digits for an `f32`, and 52 for an `f64`.
 ///
 /// [`new`]: UniformSampler::new
 /// [`new_inclusive`]: UniformSampler::new_inclusive
 /// [`Standard`]: crate::distributions::Standard
 </span><span class="attribute">#[derive(Clone, Copy, Debug, PartialEq)]
 #[cfg_attr(feature = <span class="string">&quot;serde1&quot;</span>, derive(Serialize, Deserialize))]
 </span><span class="kw">pub struct </span>UniformFloat&lt;X&gt; {
     low: X,
     scale: X,
 }

 <span class="macro">macro_rules! </span>uniform_float_impl {
     (<span class="macro-nonterminal">$ty</span>:ty, <span class="macro-nonterminal">$uty</span>:ident, <span class="macro-nonterminal">$f_scalar</span>:ident, <span class="macro-nonterminal">$u_scalar</span>:ident, <span class="macro-nonterminal">$bits_to_discard</span>:expr) =&gt; {
         <span class="kw">impl </span>SampleUniform <span class="kw">for </span><span class="macro-nonterminal">$ty </span>{
             <span class="kw">type </span>Sampler = UniformFloat&lt;<span class="macro-nonterminal">$ty</span>&gt;;
         }

         <span class="kw">impl </span>UniformSampler <span class="kw">for </span>UniformFloat&lt;<span class="macro-nonterminal">$ty</span>&gt; {
             <span class="kw">type </span>X = <span class="macro-nonterminal">$ty</span>;

             <span class="kw">fn </span>new&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
             </span><span class="kw">where
                 </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                 B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
             {
                 <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
                 <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
                 <span class="macro">debug_assert!</span>(
                     low.all_finite(),
                     <span class="string">&quot;Uniform::new called with `low` non-finite.&quot;
                 </span>);
                 <span class="macro">debug_assert!</span>(
                     high.all_finite(),
                     <span class="string">&quot;Uniform::new called with `high` non-finite.&quot;
                 </span>);
                 <span class="macro">assert!</span>(low.all_lt(high), <span class="string">&quot;Uniform::new called with `low &gt;= high`&quot;</span>);
                 <span class="kw">let </span>max_rand = &lt;<span class="macro-nonterminal">$ty</span>&gt;::splat(
                     (::core::<span class="macro-nonterminal">$u_scalar::MAX </span>&gt;&gt; <span class="macro-nonterminal">$bits_to_discard</span>).into_float_with_exponent(<span class="number">0</span>) - <span class="number">1.0</span>,
                 );

                 <span class="kw">let </span><span class="kw-2">mut </span>scale = high - low;
                 <span class="macro">assert!</span>(scale.all_finite(), <span class="string">&quot;Uniform::new: range overflow&quot;</span>);

                 <span class="kw">loop </span>{
                     <span class="kw">let </span>mask = (scale * max_rand + low).ge_mask(high);
                     <span class="kw">if </span>mask.none() {
                         <span class="kw">break</span>;
                     }
                     scale = scale.decrease_masked(mask);
                 }

                 <span class="macro">debug_assert!</span>(&lt;<span class="macro-nonterminal">$ty</span>&gt;::splat(<span class="number">0.0</span>).all_le(scale));

                 UniformFloat { low, scale }
             }

             <span class="kw">fn </span>new_inclusive&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
             </span><span class="kw">where
                 </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                 B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
             {
                 <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
                 <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
                 <span class="macro">debug_assert!</span>(
                     low.all_finite(),
                     <span class="string">&quot;Uniform::new_inclusive called with `low` non-finite.&quot;
                 </span>);
                 <span class="macro">debug_assert!</span>(
                     high.all_finite(),
                     <span class="string">&quot;Uniform::new_inclusive called with `high` non-finite.&quot;
                 </span>);
                 <span class="macro">assert!</span>(
                     low.all_le(high),
                     <span class="string">&quot;Uniform::new_inclusive called with `low &gt; high`&quot;
                 </span>);
                 <span class="kw">let </span>max_rand = &lt;<span class="macro-nonterminal">$ty</span>&gt;::splat(
                     (::core::<span class="macro-nonterminal">$u_scalar::MAX </span>&gt;&gt; <span class="macro-nonterminal">$bits_to_discard</span>).into_float_with_exponent(<span class="number">0</span>) - <span class="number">1.0</span>,
                 );

                 <span class="kw">let </span><span class="kw-2">mut </span>scale = (high - low) / max_rand;
                 <span class="macro">assert!</span>(scale.all_finite(), <span class="string">&quot;Uniform::new_inclusive: range overflow&quot;</span>);

                 <span class="kw">loop </span>{
                     <span class="kw">let </span>mask = (scale * max_rand + low).gt_mask(high);
                     <span class="kw">if </span>mask.none() {
                         <span class="kw">break</span>;
                     }
                     scale = scale.decrease_masked(mask);
                 }

                 <span class="macro">debug_assert!</span>(&lt;<span class="macro-nonterminal">$ty</span>&gt;::splat(<span class="number">0.0</span>).all_le(scale));

                 UniformFloat { low, scale }
             }

             <span class="kw">fn </span>sample&lt;R: Rng + <span class="question-mark">?</span>Sized&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X {
                 <span class="comment">// Generate a value in the range [1, 2)
                 </span><span class="kw">let </span>value1_2 = (rng.gen::&lt;<span class="macro-nonterminal">$uty</span>&gt;() &gt;&gt; <span class="macro-nonterminal">$bits_to_discard</span>).into_float_with_exponent(<span class="number">0</span>);

                 <span class="comment">// Get a value in the range [0, 1) in order to avoid
                 // overflowing into infinity when multiplying with scale
                 </span><span class="kw">let </span>value0_1 = value1_2 - <span class="number">1.0</span>;

                 <span class="comment">// We don&#39;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.
                 </span>value0_1 * <span class="self">self</span>.scale + <span class="self">self</span>.low
             }

             <span class="attribute">#[inline]
             </span><span class="kw">fn </span>sample_single&lt;R: Rng + <span class="question-mark">?</span>Sized, B1, B2&gt;(low_b: B1, high_b: B2, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X
             <span class="kw">where
                 </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                 B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
             {
                 <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
                 <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
                 <span class="macro">debug_assert!</span>(
                     low.all_finite(),
                     <span class="string">&quot;UniformSampler::sample_single called with `low` non-finite.&quot;
                 </span>);
                 <span class="macro">debug_assert!</span>(
                     high.all_finite(),
                     <span class="string">&quot;UniformSampler::sample_single called with `high` non-finite.&quot;
                 </span>);
                 <span class="macro">assert!</span>(
                     low.all_lt(high),
                     <span class="string">&quot;UniformSampler::sample_single: low &gt;= high&quot;
                 </span>);
                 <span class="kw">let </span><span class="kw-2">mut </span>scale = high - low;
                 <span class="macro">assert!</span>(scale.all_finite(), <span class="string">&quot;UniformSampler::sample_single: range overflow&quot;</span>);

                 <span class="kw">loop </span>{
                     <span class="comment">// Generate a value in the range [1, 2)
                     </span><span class="kw">let </span>value1_2 =
                         (rng.gen::&lt;<span class="macro-nonterminal">$uty</span>&gt;() &gt;&gt; <span class="macro-nonterminal">$bits_to_discard</span>).into_float_with_exponent(<span class="number">0</span>);

                     <span class="comment">// Get a value in the range [0, 1) in order to avoid
                     // overflowing into infinity when multiplying with scale
                     </span><span class="kw">let </span>value0_1 = value1_2 - <span class="number">1.0</span>;

                     <span class="comment">// Doing multiply before addition allows some architectures
                     // to use a single instruction.
                     </span><span class="kw">let </span>res = value0_1 * scale + low;

                     <span class="macro">debug_assert!</span>(low.all_le(res) || !scale.all_finite());
                     <span class="kw">if </span>res.all_lt(high) {
                         <span class="kw">return </span>res;
                     }

                     <span class="comment">// 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 &lt; 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&#39;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.
                     </span><span class="kw">let </span>mask = !scale.finite_mask();
                     <span class="kw">if </span>mask.any() {
                         <span class="macro">assert!</span>(
                             low.all_finite() &amp;&amp; high.all_finite(),
                             <span class="string">&quot;Uniform::sample_single: low and high must be finite&quot;
                         </span>);
                         scale = scale.decrease_masked(mask);
                     }
                 }
             }
         }
     };
 }

 <span class="macro">uniform_float_impl! </span>{ f32, u32, f32, u32, <span class="number">32 </span>- <span class="number">23 </span>}
 <span class="macro">uniform_float_impl! </span>{ f64, u64, f64, u64, <span class="number">64 </span>- <span class="number">52 </span>}

 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_float_impl! </span>{ f32x2, u32x2, f32, u32, <span class="number">32 </span>- <span class="number">23 </span>}
 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_float_impl! </span>{ f32x4, u32x4, f32, u32, <span class="number">32 </span>- <span class="number">23 </span>}
 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_float_impl! </span>{ f32x8, u32x8, f32, u32, <span class="number">32 </span>- <span class="number">23 </span>}
 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_float_impl! </span>{ f32x16, u32x16, f32, u32, <span class="number">32 </span>- <span class="number">23 </span>}

 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_float_impl! </span>{ f64x2, u64x2, f64, u64, <span class="number">64 </span>- <span class="number">52 </span>}
 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_float_impl! </span>{ f64x4, u64x4, f64, u64, <span class="number">64 </span>- <span class="number">52 </span>}
 <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
 </span><span class="macro">uniform_float_impl! </span>{ f64x8, u64x8, f64, u64, <span class="number">64 </span>- <span class="number">52 </span>}


 <span class="doccomment">/// 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.
 </span><span class="attribute">#[derive(Clone, Copy, Debug)]
 #[cfg_attr(feature = <span class="string">&quot;serde1&quot;</span>, derive(Serialize, Deserialize))]
 </span><span class="kw">pub struct </span>UniformDuration {
     mode: UniformDurationMode,
     offset: u32,
 }

 <span class="attribute">#[derive(Debug, Copy, Clone)]
 #[cfg_attr(feature = <span class="string">&quot;serde1&quot;</span>, derive(Serialize, Deserialize))]
 </span><span class="kw">enum </span>UniformDurationMode {
     Small {
         secs: u64,
         nanos: Uniform&lt;u32&gt;,
     },
     Medium {
         nanos: Uniform&lt;u64&gt;,
     },
     Large {
         max_secs: u64,
         max_nanos: u32,
         secs: Uniform&lt;u64&gt;,
     },
 }

 <span class="kw">impl </span>SampleUniform <span class="kw">for </span>Duration {
     <span class="kw">type </span>Sampler = UniformDuration;
 }

 <span class="kw">impl </span>UniformSampler <span class="kw">for </span>UniformDuration {
     <span class="kw">type </span>X = Duration;

     <span class="attribute">#[inline]
     </span><span class="kw">fn </span>new&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
     </span><span class="kw">where
         </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
         B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
     {
         <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
         <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
         <span class="macro">assert!</span>(low &lt; high, <span class="string">&quot;Uniform::new called with `low &gt;= high`&quot;</span>);
         UniformDuration::new_inclusive(low, high - Duration::new(<span class="number">0</span>, <span class="number">1</span>))
     }

     <span class="attribute">#[inline]
     </span><span class="kw">fn </span>new_inclusive&lt;B1, B2&gt;(low_b: B1, high_b: B2) -&gt; <span class="self">Self
     </span><span class="kw">where
         </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
         B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
     {
         <span class="kw">let </span>low = <span class="kw-2">*</span>low_b.borrow();
         <span class="kw">let </span>high = <span class="kw-2">*</span>high_b.borrow();
         <span class="macro">assert!</span>(
             low &lt;= high,
             <span class="string">&quot;Uniform::new_inclusive called with `low &gt; high`&quot;
         </span>);

         <span class="kw">let </span>low_s = low.as_secs();
         <span class="kw">let </span>low_n = low.subsec_nanos();
         <span class="kw">let </span><span class="kw-2">mut </span>high_s = high.as_secs();
         <span class="kw">let </span><span class="kw-2">mut </span>high_n = high.subsec_nanos();

         <span class="kw">if </span>high_n &lt; low_n {
             high_s -= <span class="number">1</span>;
             high_n += <span class="number">1_000_000_000</span>;
         }

         <span class="kw">let </span>mode = <span class="kw">if </span>low_s == high_s {
             UniformDurationMode::Small {
                 secs: low_s,
                 nanos: Uniform::new_inclusive(low_n, high_n),
             }
         } <span class="kw">else </span>{
             <span class="kw">let </span>max = high_s
                 .checked_mul(<span class="number">1_000_000_000</span>)
                 .and_then(|n| n.checked_add(u64::from(high_n)));

             <span class="kw">if let </span><span class="prelude-val">Some</span>(higher_bound) = max {
                 <span class="kw">let </span>lower_bound = low_s * <span class="number">1_000_000_000 </span>+ u64::from(low_n);
                 UniformDurationMode::Medium {
                     nanos: Uniform::new_inclusive(lower_bound, higher_bound),
                 }
             } <span class="kw">else </span>{
                 <span class="comment">// An offset is applied to simplify generation of nanoseconds
                 </span><span class="kw">let </span>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,
         }
     }

     <span class="attribute">#[inline]
     </span><span class="kw">fn </span>sample&lt;R: Rng + <span class="question-mark">?</span>Sized&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; Duration {
         <span class="kw">match </span><span class="self">self</span>.mode {
             UniformDurationMode::Small { secs, nanos } =&gt; {
                 <span class="kw">let </span>n = nanos.sample(rng);
                 Duration::new(secs, n)
             }
             UniformDurationMode::Medium { nanos } =&gt; {
                 <span class="kw">let </span>nanos = nanos.sample(rng);
                 Duration::new(nanos / <span class="number">1_000_000_000</span>, (nanos % <span class="number">1_000_000_000</span>) <span class="kw">as </span>u32)
             }
             UniformDurationMode::Large {
                 max_secs,
                 max_nanos,
                 secs,
             } =&gt; {
                 <span class="comment">// constant folding means this is at least as fast as `Rng::sample(Range)`
                 </span><span class="kw">let </span>nano_range = Uniform::new(<span class="number">0</span>, <span class="number">1_000_000_000</span>);
                 <span class="kw">loop </span>{
                     <span class="kw">let </span>s = secs.sample(rng);
                     <span class="kw">let </span>n = nano_range.sample(rng);
                     <span class="kw">if </span>!(s == max_secs &amp;&amp; n &gt; max_nanos) {
                         <span class="kw">let </span>sum = n + <span class="self">self</span>.offset;
                         <span class="kw">break </span>Duration::new(s, sum);
                     }
                 }
             }
         }
     }
 }

 <span class="attribute">#[cfg(test)]
 </span><span class="kw">mod </span>tests {
     <span class="kw">use super</span>::<span class="kw-2">*</span>;
     <span class="kw">use </span><span class="kw">crate</span>::rngs::mock::StepRng;

     <span class="attribute">#[test]
     #[cfg(feature = <span class="string">&quot;serde1&quot;</span>)]
     </span><span class="kw">fn </span>test_serialization_uniform_duration() {
         <span class="kw">let </span>distr = UniformDuration::new(Duration::from_secs(<span class="number">10</span>), Duration::from_secs(<span class="number">60</span>));
         <span class="kw">let </span>de_distr: UniformDuration = bincode::deserialize(<span class="kw-2">&amp;</span>bincode::serialize(<span class="kw-2">&amp;</span>distr).unwrap()).unwrap();
         <span class="macro">assert_eq!</span>(
             distr.offset, de_distr.offset
         );
         <span class="kw">match </span>(distr.mode, de_distr.mode) {
             (UniformDurationMode::Small {secs: a_secs, nanos: a_nanos}, UniformDurationMode::Small {secs, nanos}) =&gt; {
                 <span class="macro">assert_eq!</span>(a_secs, secs);

                 <span class="macro">assert_eq!</span>(a_nanos.<span class="number">0</span>.low, nanos.<span class="number">0</span>.low);
                 <span class="macro">assert_eq!</span>(a_nanos.<span class="number">0</span>.range, nanos.<span class="number">0</span>.range);
                 <span class="macro">assert_eq!</span>(a_nanos.<span class="number">0</span>.z, nanos.<span class="number">0</span>.z);
             }
             (UniformDurationMode::Medium {nanos: a_nanos} , UniformDurationMode::Medium {nanos}) =&gt; {
                 <span class="macro">assert_eq!</span>(a_nanos.<span class="number">0</span>.low, nanos.<span class="number">0</span>.low);
                 <span class="macro">assert_eq!</span>(a_nanos.<span class="number">0</span>.range, nanos.<span class="number">0</span>.range);
                 <span class="macro">assert_eq!</span>(a_nanos.<span class="number">0</span>.z, nanos.<span class="number">0</span>.z);
             }
             (UniformDurationMode::Large {max_secs:a_max_secs, max_nanos:a_max_nanos, secs:a_secs}, UniformDurationMode::Large {max_secs, max_nanos, secs} ) =&gt; {
                 <span class="macro">assert_eq!</span>(a_max_secs, max_secs);
                 <span class="macro">assert_eq!</span>(a_max_nanos, max_nanos);

                 <span class="macro">assert_eq!</span>(a_secs.<span class="number">0</span>.low, secs.<span class="number">0</span>.low);
                 <span class="macro">assert_eq!</span>(a_secs.<span class="number">0</span>.range, secs.<span class="number">0</span>.range);
                 <span class="macro">assert_eq!</span>(a_secs.<span class="number">0</span>.z, secs.<span class="number">0</span>.z);
             }
             <span class="kw">_ </span>=&gt; <span class="macro">panic!</span>(<span class="string">&quot;`UniformDurationMode` was not serialized/deserialized correctly&quot;</span>)
         }
     }

     <span class="attribute">#[test]
     #[cfg(feature = <span class="string">&quot;serde1&quot;</span>)]
     </span><span class="kw">fn </span>test_uniform_serialization() {
         <span class="kw">let </span>unit_box: Uniform&lt;i32&gt;  = Uniform::new(-<span class="number">1</span>, <span class="number">1</span>);
         <span class="kw">let </span>de_unit_box: Uniform&lt;i32&gt; = bincode::deserialize(<span class="kw-2">&amp;</span>bincode::serialize(<span class="kw-2">&amp;</span>unit_box).unwrap()).unwrap();

         <span class="macro">assert_eq!</span>(unit_box.<span class="number">0</span>.low, de_unit_box.<span class="number">0</span>.low);
         <span class="macro">assert_eq!</span>(unit_box.<span class="number">0</span>.range, de_unit_box.<span class="number">0</span>.range);
         <span class="macro">assert_eq!</span>(unit_box.<span class="number">0</span>.z, de_unit_box.<span class="number">0</span>.z);

         <span class="kw">let </span>unit_box: Uniform&lt;f32&gt; = Uniform::new(-<span class="number">1.</span>, <span class="number">1.</span>);
         <span class="kw">let </span>de_unit_box: Uniform&lt;f32&gt; = bincode::deserialize(<span class="kw-2">&amp;</span>bincode::serialize(<span class="kw-2">&amp;</span>unit_box).unwrap()).unwrap();

         <span class="macro">assert_eq!</span>(unit_box.<span class="number">0</span>.low, de_unit_box.<span class="number">0</span>.low);
         <span class="macro">assert_eq!</span>(unit_box.<span class="number">0</span>.scale, de_unit_box.<span class="number">0</span>.scale);
     }

     <span class="attribute">#[should_panic]
     #[test]
     </span><span class="kw">fn </span>test_uniform_bad_limits_equal_int() {
         Uniform::new(<span class="number">10</span>, <span class="number">10</span>);
     }

     <span class="attribute">#[test]
     </span><span class="kw">fn </span>test_uniform_good_limits_equal_int() {
         <span class="kw">let </span><span class="kw-2">mut </span>rng = <span class="kw">crate</span>::test::rng(<span class="number">804</span>);
         <span class="kw">let </span>dist = Uniform::new_inclusive(<span class="number">10</span>, <span class="number">10</span>);
         <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">20 </span>{
             <span class="macro">assert_eq!</span>(rng.sample(dist), <span class="number">10</span>);
         }
     }

     <span class="attribute">#[should_panic]
     #[test]
     </span><span class="kw">fn </span>test_uniform_bad_limits_flipped_int() {
         Uniform::new(<span class="number">10</span>, <span class="number">5</span>);
     }

     <span class="attribute">#[test]
     #[cfg_attr(miri, ignore)] </span><span class="comment">// Miri is too slow
     </span><span class="kw">fn </span>test_integers() {
         <span class="kw">use </span>core::{i128, u128};
         <span class="kw">use </span>core::{i16, i32, i64, i8, isize};
         <span class="kw">use </span>core::{u16, u32, u64, u8, usize};

         <span class="kw">let </span><span class="kw-2">mut </span>rng = <span class="kw">crate</span>::test::rng(<span class="number">251</span>);
         <span class="macro">macro_rules! </span>t {
             (<span class="macro-nonterminal">$ty</span>:ident, <span class="macro-nonterminal">$v</span>:expr, <span class="macro-nonterminal">$le</span>:expr, <span class="macro-nonterminal">$lt</span>:expr) =&gt; {{
                 <span class="kw">for </span><span class="kw-2">&amp;</span>(low, high) <span class="kw">in </span><span class="macro-nonterminal">$v</span>.iter() {
                     <span class="kw">let </span>my_uniform = Uniform::new(low, high);
                     <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">1000 </span>{
                         <span class="kw">let </span>v: <span class="macro-nonterminal">$ty </span>= rng.sample(my_uniform);
                         <span class="macro">assert!</span>(<span class="macro-nonterminal">$le</span>(low, v) &amp;&amp; <span class="macro-nonterminal">$lt</span>(v, high));
                     }

                     <span class="kw">let </span>my_uniform = Uniform::new_inclusive(low, high);
                     <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">1000 </span>{
                         <span class="kw">let </span>v: <span class="macro-nonterminal">$ty </span>= rng.sample(my_uniform);
                         <span class="macro">assert!</span>(<span class="macro-nonterminal">$le</span>(low, v) &amp;&amp; <span class="macro-nonterminal">$le</span>(v, high));
                     }

                     <span class="kw">let </span>my_uniform = Uniform::new(<span class="kw-2">&amp;</span>low, high);
                     <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">1000 </span>{
                         <span class="kw">let </span>v: <span class="macro-nonterminal">$ty </span>= rng.sample(my_uniform);
                         <span class="macro">assert!</span>(<span class="macro-nonterminal">$le</span>(low, v) &amp;&amp; <span class="macro-nonterminal">$lt</span>(v, high));
                     }

                     <span class="kw">let </span>my_uniform = Uniform::new_inclusive(<span class="kw-2">&amp;</span>low, <span class="kw-2">&amp;</span>high);
                     <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">1000 </span>{
                         <span class="kw">let </span>v: <span class="macro-nonterminal">$ty </span>= rng.sample(my_uniform);
                         <span class="macro">assert!</span>(<span class="macro-nonterminal">$le</span>(low, v) &amp;&amp; <span class="macro-nonterminal">$le</span>(v, high));
                     }

                     <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">1000 </span>{
                         <span class="kw">let </span>v = &lt;<span class="macro-nonterminal">$ty </span><span class="kw">as </span>SampleUniform&gt;::Sampler::sample_single(low, high, <span class="kw-2">&amp;mut </span>rng);
                         <span class="macro">assert!</span>(<span class="macro-nonterminal">$le</span>(low, v) &amp;&amp; <span class="macro-nonterminal">$lt</span>(v, high));
                     }

                     <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">1000 </span>{
                         <span class="kw">let </span>v = &lt;<span class="macro-nonterminal">$ty </span><span class="kw">as </span>SampleUniform&gt;::Sampler::sample_single_inclusive(low, high, <span class="kw-2">&amp;mut </span>rng);
                         <span class="macro">assert!</span>(<span class="macro-nonterminal">$le</span>(low, v) &amp;&amp; <span class="macro-nonterminal">$le</span>(v, high));
                     }
                 }
             }};

             <span class="comment">// scalar bulk
             </span>($(<span class="macro-nonterminal">$ty</span>:ident),<span class="kw-2">*</span>) =&gt; {{
                 $(<span class="macro">t!</span>(
                     <span class="macro-nonterminal">$ty</span>,
                     [(<span class="number">0</span>, <span class="number">10</span>), (<span class="number">10</span>, <span class="number">127</span>), (<span class="macro-nonterminal">$ty::MIN</span>, <span class="macro-nonterminal">$ty::MAX</span>)],
                     |x, y| x &lt;= y,
                     |x, y| x &lt; y
                 );)*
             }};

             <span class="comment">// simd bulk
             </span>($(<span class="macro-nonterminal">$ty</span>:ident),* =&gt; <span class="macro-nonterminal">$scalar</span>:ident) =&gt; {{
                 $(<span class="macro">t!</span>(
                     <span class="macro-nonterminal">$ty</span>,
                     [
                         (<span class="macro-nonterminal">$ty::splat</span>(<span class="number">0</span>), <span class="macro-nonterminal">$ty::splat</span>(<span class="number">10</span>)),
                         (<span class="macro-nonterminal">$ty::splat</span>(<span class="number">10</span>), <span class="macro-nonterminal">$ty::splat</span>(<span class="number">127</span>)),
                         (<span class="macro-nonterminal">$ty::splat</span>(<span class="macro-nonterminal">$scalar::MIN</span>), <span class="macro-nonterminal">$ty::splat</span>(<span class="macro-nonterminal">$scalar::MAX</span>)),
                     ],
                     |x: <span class="macro-nonterminal">$ty</span>, y| x.le(y).all(),
                     |x: <span class="macro-nonterminal">$ty</span>, y| x.lt(y).all()
                 );)*
             }};
         }
         <span class="macro">t!</span>(i8, i16, i32, i64, isize, u8, u16, u32, u64, usize, i128, u128);

         <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
         </span>{
             <span class="macro">t!</span>(u8x2, u8x4, u8x8, u8x16, u8x32, u8x64 =&gt; u8);
             <span class="macro">t!</span>(i8x2, i8x4, i8x8, i8x16, i8x32, i8x64 =&gt; i8);
             <span class="macro">t!</span>(u16x2, u16x4, u16x8, u16x16, u16x32 =&gt; u16);
             <span class="macro">t!</span>(i16x2, i16x4, i16x8, i16x16, i16x32 =&gt; i16);
             <span class="macro">t!</span>(u32x2, u32x4, u32x8, u32x16 =&gt; u32);
             <span class="macro">t!</span>(i32x2, i32x4, i32x8, i32x16 =&gt; i32);
             <span class="macro">t!</span>(u64x2, u64x4, u64x8 =&gt; u64);
             <span class="macro">t!</span>(i64x2, i64x4, i64x8 =&gt; i64);
         }
     }

     <span class="attribute">#[test]
     #[cfg_attr(miri, ignore)] </span><span class="comment">// Miri is too slow
     </span><span class="kw">fn </span>test_char() {
         <span class="kw">let </span><span class="kw-2">mut </span>rng = <span class="kw">crate</span>::test::rng(<span class="number">891</span>);
         <span class="kw">let </span><span class="kw-2">mut </span>max = core::char::from_u32(<span class="number">0</span>).unwrap();
         <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">100 </span>{
             <span class="kw">let </span>c = rng.gen_range(<span class="string">&#39;A&#39;</span>..=<span class="string">&#39;Z&#39;</span>);
             <span class="macro">assert!</span>((<span class="string">&#39;A&#39;</span>..=<span class="string">&#39;Z&#39;</span>).contains(<span class="kw-2">&amp;</span>c));
             max = max.max(c);
         }
         <span class="macro">assert_eq!</span>(max, <span class="string">&#39;Z&#39;</span>);
         <span class="kw">let </span>d = Uniform::new(
             core::char::from_u32(<span class="number">0xD7F0</span>).unwrap(),
             core::char::from_u32(<span class="number">0xE010</span>).unwrap(),
         );
         <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">100 </span>{
             <span class="kw">let </span>c = d.sample(<span class="kw-2">&amp;mut </span>rng);
             <span class="macro">assert!</span>((c <span class="kw">as </span>u32) &lt; <span class="number">0xD800 </span>|| (c <span class="kw">as </span>u32) &gt; <span class="number">0xDFFF</span>);
         }
     }

     <span class="attribute">#[test]
     #[cfg_attr(miri, ignore)] </span><span class="comment">// Miri is too slow
     </span><span class="kw">fn </span>test_floats() {
         <span class="kw">let </span><span class="kw-2">mut </span>rng = <span class="kw">crate</span>::test::rng(<span class="number">252</span>);
         <span class="kw">let </span><span class="kw-2">mut </span>zero_rng = StepRng::new(<span class="number">0</span>, <span class="number">0</span>);
         <span class="kw">let </span><span class="kw-2">mut </span>max_rng = StepRng::new(<span class="number">0xffff_ffff_ffff_ffff</span>, <span class="number">0</span>);
         <span class="macro">macro_rules! </span>t {
             (<span class="macro-nonterminal">$ty</span>:ty, <span class="macro-nonterminal">$f_scalar</span>:ident, <span class="macro-nonterminal">$bits_shifted</span>:expr) =&gt; {{
                 <span class="kw">let </span>v: <span class="kw-2">&amp;</span>[(<span class="macro-nonterminal">$f_scalar</span>, <span class="macro-nonterminal">$f_scalar</span>)] = <span class="kw-2">&amp;</span>[
                     (<span class="number">0.0</span>, <span class="number">100.0</span>),
                     (-<span class="number">1e35</span>, -<span class="number">1e25</span>),
                     (<span class="number">1e-35</span>, <span class="number">1e-25</span>),
                     (-<span class="number">1e35</span>, <span class="number">1e35</span>),
                     (&lt;<span class="macro-nonterminal">$f_scalar</span>&gt;::from_bits(<span class="number">0</span>), &lt;<span class="macro-nonterminal">$f_scalar</span>&gt;::from_bits(<span class="number">3</span>)),
                     (-&lt;<span class="macro-nonterminal">$f_scalar</span>&gt;::from_bits(<span class="number">10</span>), -&lt;<span class="macro-nonterminal">$f_scalar</span>&gt;::from_bits(<span class="number">1</span>)),
                     (-&lt;<span class="macro-nonterminal">$f_scalar</span>&gt;::from_bits(<span class="number">5</span>), <span class="number">0.0</span>),
                     (-&lt;<span class="macro-nonterminal">$f_scalar</span>&gt;::from_bits(<span class="number">7</span>), -<span class="number">0.0</span>),
                     (<span class="number">0.1 </span>* ::core::<span class="macro-nonterminal">$f_scalar::MAX</span>, ::core::<span class="macro-nonterminal">$f_scalar::MAX</span>),
                     (-::core::<span class="macro-nonterminal">$f_scalar::MAX </span>* <span class="number">0.2</span>, ::core::<span class="macro-nonterminal">$f_scalar::MAX </span>* <span class="number">0.7</span>),
                 ];
                 <span class="kw">for </span><span class="kw-2">&amp;</span>(low_scalar, high_scalar) <span class="kw">in </span>v.iter() {
                     <span class="kw">for </span>lane <span class="kw">in </span><span class="number">0</span>..&lt;<span class="macro-nonterminal">$ty</span>&gt;::lanes() {
                         <span class="kw">let </span>low = &lt;<span class="macro-nonterminal">$ty</span>&gt;::splat(<span class="number">0.0 </span><span class="kw">as </span><span class="macro-nonterminal">$f_scalar</span>).replace(lane, low_scalar);
                         <span class="kw">let </span>high = &lt;<span class="macro-nonterminal">$ty</span>&gt;::splat(<span class="number">1.0 </span><span class="kw">as </span><span class="macro-nonterminal">$f_scalar</span>).replace(lane, high_scalar);
                         <span class="kw">let </span>my_uniform = Uniform::new(low, high);
                         <span class="kw">let </span>my_incl_uniform = Uniform::new_inclusive(low, high);
                         <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">100 </span>{
                             <span class="kw">let </span>v = rng.sample(my_uniform).extract(lane);
                             <span class="macro">assert!</span>(low_scalar &lt;= v &amp;&amp; v &lt; high_scalar);
                             <span class="kw">let </span>v = rng.sample(my_incl_uniform).extract(lane);
                             <span class="macro">assert!</span>(low_scalar &lt;= v &amp;&amp; v &lt;= high_scalar);
                             <span class="kw">let </span>v = &lt;<span class="macro-nonterminal">$ty </span><span class="kw">as </span>SampleUniform&gt;::Sampler
                                 ::sample_single(low, high, <span class="kw-2">&amp;mut </span>rng).extract(lane);
                             <span class="macro">assert!</span>(low_scalar &lt;= v &amp;&amp; v &lt; high_scalar);
                         }

                         <span class="macro">assert_eq!</span>(
                             rng.sample(Uniform::new_inclusive(low, low)).extract(lane),
                             low_scalar
                         );

                         <span class="macro">assert_eq!</span>(zero_rng.sample(my_uniform).extract(lane), low_scalar);
                         <span class="macro">assert_eq!</span>(zero_rng.sample(my_incl_uniform).extract(lane), low_scalar);
                         <span class="macro">assert_eq!</span>(&lt;<span class="macro-nonterminal">$ty </span><span class="kw">as </span>SampleUniform&gt;::Sampler
                             ::sample_single(low, high, <span class="kw-2">&amp;mut </span>zero_rng)
                             .extract(lane), low_scalar);
                         <span class="macro">assert!</span>(max_rng.sample(my_uniform).extract(lane) &lt; high_scalar);
                         <span class="macro">assert!</span>(max_rng.sample(my_incl_uniform).extract(lane) &lt;= high_scalar);

                         <span class="comment">// Don&#39;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.
                         </span><span class="kw">if </span>(high_scalar - low_scalar) &gt; <span class="number">0.0001 </span>{
                             <span class="kw">let </span><span class="kw-2">mut </span>lowering_max_rng = StepRng::new(
                                 <span class="number">0xffff_ffff_ffff_ffff</span>,
                                 (-<span class="number">1i64 </span>&lt;&lt; <span class="macro-nonterminal">$bits_shifted</span>) <span class="kw">as </span>u64,
                             );
                             <span class="macro">assert!</span>(
                                 &lt;<span class="macro-nonterminal">$ty </span><span class="kw">as </span>SampleUniform&gt;::Sampler
                                     ::sample_single(low, high, <span class="kw-2">&amp;mut </span>lowering_max_rng)
                                     .extract(lane) &lt; high_scalar
                             );
                         }
                     }
                 }

                 <span class="macro">assert_eq!</span>(
                     rng.sample(Uniform::new_inclusive(
                         ::core::<span class="macro-nonterminal">$f_scalar::MAX</span>,
                         ::core::<span class="macro-nonterminal">$f_scalar::MAX
                     </span>)),
                     ::core::<span class="macro-nonterminal">$f_scalar::MAX
                 </span>);
                 <span class="macro">assert_eq!</span>(
                     rng.sample(Uniform::new_inclusive(
                         -::core::<span class="macro-nonterminal">$f_scalar::MAX</span>,
                         -::core::<span class="macro-nonterminal">$f_scalar::MAX
                     </span>)),
                     -::core::<span class="macro-nonterminal">$f_scalar::MAX
                 </span>);
             }};
         }

         <span class="macro">t!</span>(f32, f32, <span class="number">32 </span>- <span class="number">23</span>);
         <span class="macro">t!</span>(f64, f64, <span class="number">64 </span>- <span class="number">52</span>);
         <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
         </span>{
             <span class="macro">t!</span>(f32x2, f32, <span class="number">32 </span>- <span class="number">23</span>);
             <span class="macro">t!</span>(f32x4, f32, <span class="number">32 </span>- <span class="number">23</span>);
             <span class="macro">t!</span>(f32x8, f32, <span class="number">32 </span>- <span class="number">23</span>);
             <span class="macro">t!</span>(f32x16, f32, <span class="number">32 </span>- <span class="number">23</span>);
             <span class="macro">t!</span>(f64x2, f64, <span class="number">64 </span>- <span class="number">52</span>);
             <span class="macro">t!</span>(f64x4, f64, <span class="number">64 </span>- <span class="number">52</span>);
             <span class="macro">t!</span>(f64x8, f64, <span class="number">64 </span>- <span class="number">52</span>);
         }
     }

     <span class="attribute">#[test]
     #[should_panic]
     </span><span class="kw">fn </span>test_float_overflow() {
         <span class="kw">let _ </span>= Uniform::from(::core::f64::MIN..::core::f64::MAX);
     }

     <span class="attribute">#[test]
     #[should_panic]
     </span><span class="kw">fn </span>test_float_overflow_single() {
         <span class="kw">let </span><span class="kw-2">mut </span>rng = <span class="kw">crate</span>::test::rng(<span class="number">252</span>);
         rng.gen_range(::core::f64::MIN..::core::f64::MAX);
     }

     <span class="attribute">#[test]
     #[cfg(all(
         feature = <span class="string">&quot;std&quot;</span>,
         not(target_arch = <span class="string">&quot;wasm32&quot;</span>),
         not(target_arch = <span class="string">&quot;asmjs&quot;</span>)
     ))]
     </span><span class="kw">fn </span>test_float_assertions() {
         <span class="kw">use </span><span class="kw">super</span>::SampleUniform;
         <span class="kw">use </span>std::panic::catch_unwind;
         <span class="kw">fn </span>range&lt;T: SampleUniform&gt;(low: T, high: T) {
             <span class="kw">let </span><span class="kw-2">mut </span>rng = <span class="kw">crate</span>::test::rng(<span class="number">253</span>);
             T::Sampler::sample_single(low, high, <span class="kw-2">&amp;mut </span>rng);
         }

         <span class="macro">macro_rules! </span>t {
             (<span class="macro-nonterminal">$ty</span>:ident, <span class="macro-nonterminal">$f_scalar</span>:ident) =&gt; {{
                 <span class="kw">let </span>v: <span class="kw-2">&amp;</span>[(<span class="macro-nonterminal">$f_scalar</span>, <span class="macro-nonterminal">$f_scalar</span>)] = <span class="kw-2">&amp;</span>[
                     (::std::<span class="macro-nonterminal">$f_scalar::NAN</span>, <span class="number">0.0</span>),
                     (<span class="number">1.0</span>, ::std::<span class="macro-nonterminal">$f_scalar::NAN</span>),
                     (::std::<span class="macro-nonterminal">$f_scalar::NAN</span>, ::std::<span class="macro-nonterminal">$f_scalar::NAN</span>),
                     (<span class="number">1.0</span>, <span class="number">0.5</span>),
                     (::std::<span class="macro-nonterminal">$f_scalar::MAX</span>, -::std::<span class="macro-nonterminal">$f_scalar::MAX</span>),
                     (::std::<span class="macro-nonterminal">$f_scalar::INFINITY</span>, ::std::<span class="macro-nonterminal">$f_scalar::INFINITY</span>),
                     (
                         ::std::<span class="macro-nonterminal">$f_scalar::NEG_INFINITY</span>,
                         ::std::<span class="macro-nonterminal">$f_scalar::NEG_INFINITY</span>,
                     ),
                     (::std::<span class="macro-nonterminal">$f_scalar::NEG_INFINITY</span>, <span class="number">5.0</span>),
                     (<span class="number">5.0</span>, ::std::<span class="macro-nonterminal">$f_scalar::INFINITY</span>),
                     (::std::<span class="macro-nonterminal">$f_scalar::NAN</span>, ::std::<span class="macro-nonterminal">$f_scalar::INFINITY</span>),
                     (::std::<span class="macro-nonterminal">$f_scalar::NEG_INFINITY</span>, ::std::<span class="macro-nonterminal">$f_scalar::NAN</span>),
                     (::std::<span class="macro-nonterminal">$f_scalar::NEG_INFINITY</span>, ::std::<span class="macro-nonterminal">$f_scalar::INFINITY</span>),
                 ];
                 <span class="kw">for </span><span class="kw-2">&amp;</span>(low_scalar, high_scalar) <span class="kw">in </span>v.iter() {
                     <span class="kw">for </span>lane <span class="kw">in </span><span class="number">0</span>..&lt;<span class="macro-nonterminal">$ty</span>&gt;::lanes() {
                         <span class="kw">let </span>low = &lt;<span class="macro-nonterminal">$ty</span>&gt;::splat(<span class="number">0.0 </span><span class="kw">as </span><span class="macro-nonterminal">$f_scalar</span>).replace(lane, low_scalar);
                         <span class="kw">let </span>high = &lt;<span class="macro-nonterminal">$ty</span>&gt;::splat(<span class="number">1.0 </span><span class="kw">as </span><span class="macro-nonterminal">$f_scalar</span>).replace(lane, high_scalar);
                         <span class="macro">assert!</span>(catch_unwind(|| range(low, high)).is_err());
                         <span class="macro">assert!</span>(catch_unwind(|| Uniform::new(low, high)).is_err());
                         <span class="macro">assert!</span>(catch_unwind(|| Uniform::new_inclusive(low, high)).is_err());
                         <span class="macro">assert!</span>(catch_unwind(|| range(low, low)).is_err());
                         <span class="macro">assert!</span>(catch_unwind(|| Uniform::new(low, low)).is_err());
                     }
                 }
             }};
         }

         <span class="macro">t!</span>(f32, f32);
         <span class="macro">t!</span>(f64, f64);
         <span class="attribute">#[cfg(feature = <span class="string">&quot;simd_support&quot;</span>)]
         </span>{
             <span class="macro">t!</span>(f32x2, f32);
             <span class="macro">t!</span>(f32x4, f32);
             <span class="macro">t!</span>(f32x8, f32);
             <span class="macro">t!</span>(f32x16, f32);
             <span class="macro">t!</span>(f64x2, f64);
             <span class="macro">t!</span>(f64x4, f64);
             <span class="macro">t!</span>(f64x8, f64);
         }
     }


     <span class="attribute">#[test]
     #[cfg_attr(miri, ignore)] </span><span class="comment">// Miri is too slow
     </span><span class="kw">fn </span>test_durations() {
         <span class="kw">let </span><span class="kw-2">mut </span>rng = <span class="kw">crate</span>::test::rng(<span class="number">253</span>);

         <span class="kw">let </span>v = <span class="kw-2">&amp;</span>[
             (Duration::new(<span class="number">10</span>, <span class="number">50000</span>), Duration::new(<span class="number">100</span>, <span class="number">1234</span>)),
             (Duration::new(<span class="number">0</span>, <span class="number">100</span>), Duration::new(<span class="number">1</span>, <span class="number">50</span>)),
             (
                 Duration::new(<span class="number">0</span>, <span class="number">0</span>),
                 Duration::new(u64::max_value(), <span class="number">999_999_999</span>),
             ),
         ];
         <span class="kw">for </span><span class="kw-2">&amp;</span>(low, high) <span class="kw">in </span>v.iter() {
             <span class="kw">let </span>my_uniform = Uniform::new(low, high);
             <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">1000 </span>{
                 <span class="kw">let </span>v = rng.sample(my_uniform);
                 <span class="macro">assert!</span>(low &lt;= v &amp;&amp; v &lt; high);
             }
         }
     }

     <span class="attribute">#[test]
     </span><span class="kw">fn </span>test_custom_uniform() {
         <span class="kw">use </span><span class="kw">crate</span>::distributions::uniform::{
             SampleBorrow, SampleUniform, UniformFloat, UniformSampler,
         };
         <span class="attribute">#[derive(Clone, Copy, PartialEq, PartialOrd)]
         </span><span class="kw">struct </span>MyF32 {
             x: f32,
         }
         <span class="attribute">#[derive(Clone, Copy, Debug)]
         </span><span class="kw">struct </span>UniformMyF32(UniformFloat&lt;f32&gt;);
         <span class="kw">impl </span>UniformSampler <span class="kw">for </span>UniformMyF32 {
             <span class="kw">type </span>X = MyF32;

             <span class="kw">fn </span>new&lt;B1, B2&gt;(low: B1, high: B2) -&gt; <span class="self">Self
             </span><span class="kw">where
                 </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                 B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
             {
                 UniformMyF32(UniformFloat::&lt;f32&gt;::new(low.borrow().x, high.borrow().x))
             }

             <span class="kw">fn </span>new_inclusive&lt;B1, B2&gt;(low: B1, high: B2) -&gt; <span class="self">Self
             </span><span class="kw">where
                 </span>B1: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
                 B2: SampleBorrow&lt;<span class="self">Self</span>::X&gt; + Sized,
             {
                 UniformSampler::new(low, high)
             }

             <span class="kw">fn </span>sample&lt;R: Rng + <span class="question-mark">?</span>Sized&gt;(<span class="kw-2">&amp;</span><span class="self">self</span>, rng: <span class="kw-2">&amp;mut </span>R) -&gt; <span class="self">Self</span>::X {
                 MyF32 {
                     x: <span class="self">self</span>.<span class="number">0</span>.sample(rng),
                 }
             }
         }
         <span class="kw">impl </span>SampleUniform <span class="kw">for </span>MyF32 {
             <span class="kw">type </span>Sampler = UniformMyF32;
         }

         <span class="kw">let </span>(low, high) = (MyF32 { x: <span class="number">17.0f32 </span>}, MyF32 { x: <span class="number">22.0f32 </span>});
         <span class="kw">let </span>uniform = Uniform::new(low, high);
         <span class="kw">let </span><span class="kw-2">mut </span>rng = <span class="kw">crate</span>::test::rng(<span class="number">804</span>);
         <span class="kw">for _ in </span><span class="number">0</span>..<span class="number">100 </span>{
             <span class="kw">let </span>x: MyF32 = rng.sample(uniform);
             <span class="macro">assert!</span>(low &lt;= x &amp;&amp; x &lt; high);
         }
     }

     <span class="attribute">#[test]
     </span><span class="kw">fn </span>test_uniform_from_std_range() {
         <span class="kw">let </span>r = Uniform::from(<span class="number">2u32</span>..<span class="number">7</span>);
         <span class="macro">assert_eq!</span>(r.<span class="number">0</span>.low, <span class="number">2</span>);
         <span class="macro">assert_eq!</span>(r.<span class="number">0</span>.range, <span class="number">5</span>);
         <span class="kw">let </span>r = Uniform::from(<span class="number">2.0f64</span>..<span class="number">7.0</span>);
         <span class="macro">assert_eq!</span>(r.<span class="number">0</span>.low, <span class="number">2.0</span>);
         <span class="macro">assert_eq!</span>(r.<span class="number">0</span>.scale, <span class="number">5.0</span>);
     }

     <span class="attribute">#[test]
     </span><span class="kw">fn </span>test_uniform_from_std_range_inclusive() {
         <span class="kw">let </span>r = Uniform::from(<span class="number">2u32</span>..=<span class="number">6</span>);
         <span class="macro">assert_eq!</span>(r.<span class="number">0</span>.low, <span class="number">2</span>);
         <span class="macro">assert_eq!</span>(r.<span class="number">0</span>.range, <span class="number">5</span>);
         <span class="kw">let </span>r = Uniform::from(<span class="number">2.0f64</span>..=<span class="number">7.0</span>);
         <span class="macro">assert_eq!</span>(r.<span class="number">0</span>.low, <span class="number">2.0</span>);
         <span class="macro">assert!</span>(r.<span class="number">0</span>.scale &gt; <span class="number">5.0</span>);
         <span class="macro">assert!</span>(r.<span class="number">0</span>.scale &lt; <span class="number">5.0 </span>+ <span class="number">1e-14</span>);
     }

     <span class="attribute">#[test]
     </span><span class="kw">fn </span>value_stability() {
         <span class="kw">fn </span>test_samples&lt;T: SampleUniform + Copy + core::fmt::Debug + PartialEq&gt;(
             lb: T, ub: T, expected_single: <span class="kw-2">&amp;</span>[T], expected_multiple: <span class="kw-2">&amp;</span>[T],
         ) <span class="kw">where </span>Uniform&lt;T&gt;: Distribution&lt;T&gt; {
             <span class="kw">let </span><span class="kw-2">mut </span>rng = <span class="kw">crate</span>::test::rng(<span class="number">897</span>);
             <span class="kw">let </span><span class="kw-2">mut </span>buf = [lb; <span class="number">3</span>];

             <span class="kw">for </span>x <span class="kw">in </span><span class="kw-2">&amp;mut </span>buf {
                 <span class="kw-2">*</span>x = T::Sampler::sample_single(lb, ub, <span class="kw-2">&amp;mut </span>rng);
             }
             <span class="macro">assert_eq!</span>(<span class="kw-2">&amp;</span>buf, expected_single);

             <span class="kw">let </span>distr = Uniform::new(lb, ub);
             <span class="kw">for </span>x <span class="kw">in </span><span class="kw-2">&amp;mut </span>buf {
                 <span class="kw-2">*</span>x = rng.sample(<span class="kw-2">&amp;</span>distr);
             }
             <span class="macro">assert_eq!</span>(<span class="kw-2">&amp;</span>buf, expected_multiple);
         }

         <span class="comment">// We test on a sub-set of types; possibly we should do more.
         // TODO: SIMD types

         </span>test_samples(<span class="number">11u8</span>, <span class="number">219</span>, <span class="kw-2">&amp;</span>[<span class="number">17</span>, <span class="number">66</span>, <span class="number">214</span>], <span class="kw-2">&amp;</span>[<span class="number">181</span>, <span class="number">93</span>, <span class="number">165</span>]);
         test_samples(<span class="number">11u32</span>, <span class="number">219</span>, <span class="kw-2">&amp;</span>[<span class="number">17</span>, <span class="number">66</span>, <span class="number">214</span>], <span class="kw-2">&amp;</span>[<span class="number">181</span>, <span class="number">93</span>, <span class="number">165</span>]);

         test_samples(<span class="number">0f32</span>, <span class="number">1e-2f32</span>, <span class="kw-2">&amp;</span>[<span class="number">0.0003070104</span>, <span class="number">0.0026630748</span>, <span class="number">0.00979833</span>], <span class="kw-2">&amp;</span>[
             <span class="number">0.008194133</span>,
             <span class="number">0.00398172</span>,
             <span class="number">0.007428536</span>,
         ]);
         test_samples(
             -<span class="number">1e10f64</span>,
             <span class="number">1e10f64</span>,
             <span class="kw-2">&amp;</span>[-<span class="number">4673848682.871551</span>, <span class="number">6388267422.932352</span>, <span class="number">4857075081.198343</span>],
             <span class="kw-2">&amp;</span>[<span class="number">1173375212.1808167</span>, <span class="number">1917642852.109581</span>, <span class="number">2365076174.3153973</span>],
         );

         test_samples(
             Duration::new(<span class="number">2</span>, <span class="number">0</span>),
             Duration::new(<span class="number">4</span>, <span class="number">0</span>),
             <span class="kw-2">&amp;</span>[
                 Duration::new(<span class="number">2</span>, <span class="number">532615131</span>),
                 Duration::new(<span class="number">3</span>, <span class="number">638826742</span>),
                 Duration::new(<span class="number">3</span>, <span class="number">485707508</span>),
             ],
             <span class="kw-2">&amp;</span>[
                 Duration::new(<span class="number">3</span>, <span class="number">117337521</span>),
                 Duration::new(<span class="number">3</span>, <span class="number">191764285</span>),
                 Duration::new(<span class="number">3</span>, <span class="number">236507617</span>),
             ],
         );
     }

     <span class="attribute">#[test]
     </span><span class="kw">fn </span>uniform_distributions_can_be_compared() {
         <span class="macro">assert_eq!</span>(Uniform::new(<span class="number">1.0</span>, <span class="number">2.0</span>), Uniform::new(<span class="number">1.0</span>, <span class="number">2.0</span>));

         <span class="comment">// To cover UniformInt
         </span><span class="macro">assert_eq!</span>(Uniform::new(<span class="number">1 </span><span class="kw">as </span>u32, <span class="number">2 </span><span class="kw">as </span>u32), Uniform::new(<span class="number">1 </span><span class="kw">as </span>u32, <span class="number">2 </span><span class="kw">as </span>u32));
     }
 }
 </code></pre></div>
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