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</pre><pre class="rust"><code><span class="comment">// Copyright 2018 Developers of the Rand project.</span>
<span class="comment">//</span>
<span class="comment">// Licensed under the Apache License, Version 2.0 &lt;LICENSE-APACHE or</span>
<span class="comment">// https://www.apache.org/licenses/LICENSE-2.0&gt; or the MIT license</span>
<span class="comment">// &lt;LICENSE-MIT or https://opensource.org/licenses/MIT&gt;, at your</span>
<span class="comment">// option. This file may not be copied, modified, or distributed</span>
<span class="comment">// except according to those terms.</span>
<span class="doccomment">//! Basic floating-point number distributions</span>
<span class="kw">use</span> <span class="ident"><span class="kw">crate</span>::distributions::utils::FloatSIMDUtils</span>;
<span class="kw">use</span> <span class="ident"><span class="kw">crate</span>::distributions</span>::{<span class="ident">Distribution</span>, <span class="ident">Standard</span>};
<span class="kw">use</span> <span class="ident"><span class="kw">crate</span>::Rng</span>;
<span class="kw">use</span> <span class="ident">core::mem</span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span> <span class="kw">use</span> <span class="ident">packed_simd</span>::<span class="kw-2">*</span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;serde1&quot;</span>)]</span>
<span class="kw">use</span> <span class="ident">serde</span>::{<span class="ident">Serialize</span>, <span class="ident">Deserialize</span>};
<span class="doccomment">/// A distribution to sample floating point numbers uniformly in the half-open</span>
<span class="doccomment">/// interval `(0, 1]`, i.e. including 1 but not 0.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// All values that can be generated are of the form `n * ε/2`. For `f32`</span>
<span class="doccomment">/// the 24 most significant random bits of a `u32` are used and for `f64` the</span>
<span class="doccomment">/// 53 most significant bits of a `u64` are used. The conversion uses the</span>
<span class="doccomment">/// multiplicative method.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// See also: [`Standard`] which samples from `[0, 1)`, [`Open01`]</span>
<span class="doccomment">/// which samples from `(0, 1)` and [`Uniform`] which samples from arbitrary</span>
<span class="doccomment">/// ranges.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Example</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use rand::{thread_rng, Rng};</span>
<span class="doccomment">/// use rand::distributions::OpenClosed01;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let val: f32 = thread_rng().sample(OpenClosed01);</span>
<span class="doccomment">/// println!(&quot;f32 from (0, 1): {}&quot;, val);</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// [`Standard`]: crate::distributions::Standard</span>
<span class="doccomment">/// [`Open01`]: crate::distributions::Open01</span>
<span class="doccomment">/// [`Uniform`]: crate::distributions::uniform::Uniform</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Clone</span>, <span class="ident">Copy</span>, <span class="ident">Debug</span>)]</span>
<span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;serde1&quot;</span>, <span class="ident">derive</span>(<span class="ident">Serialize</span>, <span class="ident">Deserialize</span>))]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">OpenClosed01</span>;
<span class="doccomment">/// A distribution to sample floating point numbers uniformly in the open</span>
<span class="doccomment">/// interval `(0, 1)`, i.e. not including either endpoint.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// All values that can be generated are of the form `n * ε + ε/2`. For `f32`</span>
<span class="doccomment">/// the 23 most significant random bits of an `u32` are used, for `f64` 52 from</span>
<span class="doccomment">/// an `u64`. The conversion uses a transmute-based method.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// See also: [`Standard`] which samples from `[0, 1)`, [`OpenClosed01`]</span>
<span class="doccomment">/// which samples from `(0, 1]` and [`Uniform`] which samples from arbitrary</span>
<span class="doccomment">/// ranges.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Example</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use rand::{thread_rng, Rng};</span>
<span class="doccomment">/// use rand::distributions::Open01;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let val: f32 = thread_rng().sample(Open01);</span>
<span class="doccomment">/// println!(&quot;f32 from (0, 1): {}&quot;, val);</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// [`Standard`]: crate::distributions::Standard</span>
<span class="doccomment">/// [`OpenClosed01`]: crate::distributions::OpenClosed01</span>
<span class="doccomment">/// [`Uniform`]: crate::distributions::uniform::Uniform</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Clone</span>, <span class="ident">Copy</span>, <span class="ident">Debug</span>)]</span>
<span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;serde1&quot;</span>, <span class="ident">derive</span>(<span class="ident">Serialize</span>, <span class="ident">Deserialize</span>))]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">Open01</span>;
<span class="comment">// This trait is needed by both this lib and rand_distr hence is a hidden export</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">hidden</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">IntoFloat</span> {
<span class="kw">type</span> <span class="ident">F</span>;
<span class="doccomment">/// Helper method to combine the fraction and a constant exponent into a</span>
<span class="doccomment">/// float.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Only the least significant bits of `self` may be set, 23 for `f32` and</span>
<span class="doccomment">/// 52 for `f64`.</span>
<span class="doccomment">/// The resulting value will fall in a range that depends on the exponent.</span>
<span class="doccomment">/// As an example the range with exponent 0 will be</span>
<span class="doccomment">/// [2&lt;sup&gt;0&lt;/sup&gt;..2&lt;sup&gt;1&lt;/sup&gt;), which is [1..2).</span>
<span class="kw">fn</span> <span class="ident">into_float_with_exponent</span>(<span class="self">self</span>, <span class="ident">exponent</span>: <span class="ident">i32</span>) -&gt; <span class="ident"><span class="self">Self</span>::F</span>;
}
<span class="macro">macro_rules!</span> <span class="ident">float_impls</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">uty</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">f_scalar</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">u_scalar</span>:<span class="ident">ty</span>,
<span class="macro-nonterminal">$</span><span class="macro-nonterminal">fraction_bits</span>:<span class="ident">expr</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">exponent_bias</span>:<span class="ident">expr</span>) =&gt; {
<span class="kw">impl</span> <span class="ident">IntoFloat</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">uty</span> {
<span class="kw">type</span> <span class="ident">F</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>;
<span class="attribute">#[<span class="ident">inline</span>(<span class="ident">always</span>)]</span>
<span class="kw">fn</span> <span class="ident">into_float_with_exponent</span>(<span class="self">self</span>, <span class="ident">exponent</span>: <span class="ident">i32</span>) -&gt; <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span> {
<span class="comment">// The exponent is encoded using an offset-binary representation</span>
<span class="kw">let</span> <span class="ident">exponent_bits</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">u_scalar</span> <span class="op">=</span>
((<span class="macro-nonterminal">$</span><span class="macro-nonterminal">exponent_bias</span> <span class="op">+</span> <span class="ident">exponent</span>) <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">u_scalar</span>) <span class="op">&lt;</span><span class="op">&lt;</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">fraction_bits</span>;
<span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty::from_bits</span>(<span class="self">self</span> <span class="op">|</span> <span class="ident">exponent_bits</span>)
}
}
<span class="kw">impl</span> <span class="ident">Distribution</span><span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">Standard</span> {
<span class="kw">fn</span> <span class="ident">sample</span><span class="op">&lt;</span><span class="ident">R</span>: <span class="ident">Rng</span> <span class="op">+</span> <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">rng</span>: <span class="kw-2">&amp;mut</span> <span class="ident">R</span>) -&gt; <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span> {
<span class="comment">// Multiply-based method; 24/53 random bits; [0, 1) interval.</span>
<span class="comment">// We use the most significant bits because for simple RNGs</span>
<span class="comment">// those are usually more random.</span>
<span class="kw">let</span> <span class="ident">float_size</span> <span class="op">=</span> <span class="ident">mem::size_of</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">f_scalar</span><span class="op">&gt;</span>() <span class="kw">as</span> <span class="ident">u32</span> <span class="op">*</span> <span class="number">8</span>;
<span class="kw">let</span> <span class="ident">precision</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">fraction_bits</span> <span class="op">+</span> <span class="number">1</span>;
<span class="kw">let</span> <span class="ident">scale</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">/</span> ((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">u_scalar</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="ident">precision</span>) <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">f_scalar</span>);
<span class="kw">let</span> <span class="ident">value</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">uty</span> <span class="op">=</span> <span class="ident">rng</span>.<span class="ident">gen</span>();
<span class="kw">let</span> <span class="ident">value</span> <span class="op">=</span> <span class="ident">value</span> <span class="op">&gt;</span><span class="op">&gt;</span> (<span class="ident">float_size</span> <span class="op">-</span> <span class="ident">precision</span>);
<span class="ident">scale</span> <span class="op">*</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty::cast_from_int</span>(<span class="ident">value</span>)
}
}
<span class="kw">impl</span> <span class="ident">Distribution</span><span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">OpenClosed01</span> {
<span class="kw">fn</span> <span class="ident">sample</span><span class="op">&lt;</span><span class="ident">R</span>: <span class="ident">Rng</span> <span class="op">+</span> <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">rng</span>: <span class="kw-2">&amp;mut</span> <span class="ident">R</span>) -&gt; <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span> {
<span class="comment">// Multiply-based method; 24/53 random bits; (0, 1] interval.</span>
<span class="comment">// We use the most significant bits because for simple RNGs</span>
<span class="comment">// those are usually more random.</span>
<span class="kw">let</span> <span class="ident">float_size</span> <span class="op">=</span> <span class="ident">mem::size_of</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">f_scalar</span><span class="op">&gt;</span>() <span class="kw">as</span> <span class="ident">u32</span> <span class="op">*</span> <span class="number">8</span>;
<span class="kw">let</span> <span class="ident">precision</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">fraction_bits</span> <span class="op">+</span> <span class="number">1</span>;
<span class="kw">let</span> <span class="ident">scale</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">/</span> ((<span class="number">1</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">u_scalar</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="ident">precision</span>) <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">f_scalar</span>);
<span class="kw">let</span> <span class="ident">value</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">uty</span> <span class="op">=</span> <span class="ident">rng</span>.<span class="ident">gen</span>();
<span class="kw">let</span> <span class="ident">value</span> <span class="op">=</span> <span class="ident">value</span> <span class="op">&gt;</span><span class="op">&gt;</span> (<span class="ident">float_size</span> <span class="op">-</span> <span class="ident">precision</span>);
<span class="comment">// Add 1 to shift up; will not overflow because of right-shift:</span>
<span class="ident">scale</span> <span class="op">*</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty::cast_from_int</span>(<span class="ident">value</span> <span class="op">+</span> <span class="number">1</span>)
}
}
<span class="kw">impl</span> <span class="ident">Distribution</span><span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">Open01</span> {
<span class="kw">fn</span> <span class="ident">sample</span><span class="op">&lt;</span><span class="ident">R</span>: <span class="ident">Rng</span> <span class="op">+</span> <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">rng</span>: <span class="kw-2">&amp;mut</span> <span class="ident">R</span>) -&gt; <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span> {
<span class="comment">// Transmute-based method; 23/52 random bits; (0, 1) interval.</span>
<span class="comment">// We use the most significant bits because for simple RNGs</span>
<span class="comment">// those are usually more random.</span>
<span class="kw">use</span> <span class="ident">core</span>::<span class="macro-nonterminal">$</span><span class="macro-nonterminal">f_scalar::EPSILON</span>;
<span class="kw">let</span> <span class="ident">float_size</span> <span class="op">=</span> <span class="ident">mem::size_of</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">f_scalar</span><span class="op">&gt;</span>() <span class="kw">as</span> <span class="ident">u32</span> <span class="op">*</span> <span class="number">8</span>;
<span class="kw">let</span> <span class="ident">value</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">uty</span> <span class="op">=</span> <span class="ident">rng</span>.<span class="ident">gen</span>();
<span class="kw">let</span> <span class="ident">fraction</span> <span class="op">=</span> <span class="ident">value</span> <span class="op">&gt;</span><span class="op">&gt;</span> (<span class="ident">float_size</span> <span class="op">-</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">fraction_bits</span>);
<span class="ident">fraction</span>.<span class="ident">into_float_with_exponent</span>(<span class="number">0</span>) <span class="op">-</span> (<span class="number">1.0</span> <span class="op">-</span> <span class="ident">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>)
}
}
}
}
<span class="macro">float_impls!</span> { <span class="ident">f32</span>, <span class="ident">u32</span>, <span class="ident">f32</span>, <span class="ident">u32</span>, <span class="number">23</span>, <span class="number">127</span> }
<span class="macro">float_impls!</span> { <span class="ident">f64</span>, <span class="ident">u64</span>, <span class="ident">f64</span>, <span class="ident">u64</span>, <span class="number">52</span>, <span class="number">1023</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">float_impls!</span> { <span class="ident">f32x2</span>, <span class="ident">u32x2</span>, <span class="ident">f32</span>, <span class="ident">u32</span>, <span class="number">23</span>, <span class="number">127</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">float_impls!</span> { <span class="ident">f32x4</span>, <span class="ident">u32x4</span>, <span class="ident">f32</span>, <span class="ident">u32</span>, <span class="number">23</span>, <span class="number">127</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">float_impls!</span> { <span class="ident">f32x8</span>, <span class="ident">u32x8</span>, <span class="ident">f32</span>, <span class="ident">u32</span>, <span class="number">23</span>, <span class="number">127</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">float_impls!</span> { <span class="ident">f32x16</span>, <span class="ident">u32x16</span>, <span class="ident">f32</span>, <span class="ident">u32</span>, <span class="number">23</span>, <span class="number">127</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">float_impls!</span> { <span class="ident">f64x2</span>, <span class="ident">u64x2</span>, <span class="ident">f64</span>, <span class="ident">u64</span>, <span class="number">52</span>, <span class="number">1023</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">float_impls!</span> { <span class="ident">f64x4</span>, <span class="ident">u64x4</span>, <span class="ident">f64</span>, <span class="ident">u64</span>, <span class="number">52</span>, <span class="number">1023</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">float_impls!</span> { <span class="ident">f64x8</span>, <span class="ident">u64x8</span>, <span class="ident">f64</span>, <span class="ident">u64</span>, <span class="number">52</span>, <span class="number">1023</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">mod</span> <span class="ident">tests</span> {
<span class="kw">use</span> <span class="kw">super</span>::<span class="kw-2">*</span>;
<span class="kw">use</span> <span class="ident"><span class="kw">crate</span>::rngs::mock::StepRng</span>;
<span class="kw">const</span> <span class="ident">EPSILON32</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="ident">::core::f32::EPSILON</span>;
<span class="kw">const</span> <span class="ident">EPSILON64</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">::core::f64::EPSILON</span>;
<span class="macro">macro_rules!</span> <span class="ident">test_f32</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">fnn</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ZERO</span>:<span class="ident">expr</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span>:<span class="ident">expr</span>) =&gt; {
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">fnn</span>() {
<span class="comment">// Standard</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">zeros</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">zeros</span>.<span class="ident">gen</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span><span class="op">&gt;</span>(), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ZERO</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">one</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">8</span> <span class="op">|</span> <span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> (<span class="number">8</span> <span class="op">+</span> <span class="number">32</span>), <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">one</span>.<span class="ident">gen</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span><span class="op">&gt;</span>(), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">max</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="op">!</span><span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">max</span>.<span class="ident">gen</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span><span class="op">&gt;</span>(), <span class="number">1.0</span> <span class="op">-</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
<span class="comment">// OpenClosed01</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">zeros</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">zeros</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">OpenClosed01</span>), <span class="number">0.0</span> <span class="op">+</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">one</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">8</span> <span class="op">|</span> <span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> (<span class="number">8</span> <span class="op">+</span> <span class="number">32</span>), <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">one</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">OpenClosed01</span>), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">max</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="op">!</span><span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">max</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">OpenClosed01</span>), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ZERO</span> <span class="op">+</span> <span class="number">1.0</span>);
<span class="comment">// Open01</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">zeros</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">zeros</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">Open01</span>), <span class="number">0.0</span> <span class="op">+</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">one</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">9</span> <span class="op">|</span> <span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> (<span class="number">9</span> <span class="op">+</span> <span class="number">32</span>), <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">one</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">Open01</span>), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span> <span class="op">*</span> <span class="number">3.0</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">max</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="op">!</span><span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">max</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">Open01</span>), <span class="number">1.0</span> <span class="op">-</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
}
};
}
<span class="macro">test_f32!</span> { <span class="ident">f32_edge_cases</span>, <span class="ident">f32</span>, <span class="number">0.0</span>, <span class="ident">EPSILON32</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">test_f32!</span> { <span class="ident">f32x2_edge_cases</span>, <span class="ident">f32x2</span>, <span class="ident">f32x2::splat</span>(<span class="number">0.0</span>), <span class="ident">f32x2::splat</span>(<span class="ident">EPSILON32</span>) }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">test_f32!</span> { <span class="ident">f32x4_edge_cases</span>, <span class="ident">f32x4</span>, <span class="ident">f32x4::splat</span>(<span class="number">0.0</span>), <span class="ident">f32x4::splat</span>(<span class="ident">EPSILON32</span>) }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">test_f32!</span> { <span class="ident">f32x8_edge_cases</span>, <span class="ident">f32x8</span>, <span class="ident">f32x8::splat</span>(<span class="number">0.0</span>), <span class="ident">f32x8::splat</span>(<span class="ident">EPSILON32</span>) }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">test_f32!</span> { <span class="ident">f32x16_edge_cases</span>, <span class="ident">f32x16</span>, <span class="ident">f32x16::splat</span>(<span class="number">0.0</span>), <span class="ident">f32x16::splat</span>(<span class="ident">EPSILON32</span>) }
<span class="macro">macro_rules!</span> <span class="ident">test_f64</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">fnn</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ZERO</span>:<span class="ident">expr</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span>:<span class="ident">expr</span>) =&gt; {
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">fnn</span>() {
<span class="comment">// Standard</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">zeros</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">zeros</span>.<span class="ident">gen</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span><span class="op">&gt;</span>(), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ZERO</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">one</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">11</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">one</span>.<span class="ident">gen</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span><span class="op">&gt;</span>(), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">max</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="op">!</span><span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">max</span>.<span class="ident">gen</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span><span class="op">&gt;</span>(), <span class="number">1.0</span> <span class="op">-</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
<span class="comment">// OpenClosed01</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">zeros</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">zeros</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">OpenClosed01</span>), <span class="number">0.0</span> <span class="op">+</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">one</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">11</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">one</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">OpenClosed01</span>), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">max</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="op">!</span><span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">max</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">OpenClosed01</span>), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">ZERO</span> <span class="op">+</span> <span class="number">1.0</span>);
<span class="comment">// Open01</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">zeros</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">zeros</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">Open01</span>), <span class="number">0.0</span> <span class="op">+</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">one</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">12</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">one</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">Open01</span>), <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span> <span class="op">*</span> <span class="number">3.0</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">max</span> <span class="op">=</span> <span class="ident">StepRng::new</span>(<span class="op">!</span><span class="number">0</span>, <span class="number">0</span>);
<span class="macro">assert_eq!</span>(<span class="ident">max</span>.<span class="ident">sample</span>::<span class="op">&lt;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">ty</span>, <span class="kw">_</span><span class="op">&gt;</span>(<span class="ident">Open01</span>), <span class="number">1.0</span> <span class="op">-</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">EPSILON</span> <span class="op">/</span> <span class="number">2.0</span>);
}
};
}
<span class="macro">test_f64!</span> { <span class="ident">f64_edge_cases</span>, <span class="ident">f64</span>, <span class="number">0.0</span>, <span class="ident">EPSILON64</span> }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">test_f64!</span> { <span class="ident">f64x2_edge_cases</span>, <span class="ident">f64x2</span>, <span class="ident">f64x2::splat</span>(<span class="number">0.0</span>), <span class="ident">f64x2::splat</span>(<span class="ident">EPSILON64</span>) }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">test_f64!</span> { <span class="ident">f64x4_edge_cases</span>, <span class="ident">f64x4</span>, <span class="ident">f64x4::splat</span>(<span class="number">0.0</span>), <span class="ident">f64x4::splat</span>(<span class="ident">EPSILON64</span>) }
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
<span class="macro">test_f64!</span> { <span class="ident">f64x8_edge_cases</span>, <span class="ident">f64x8</span>, <span class="ident">f64x8::splat</span>(<span class="number">0.0</span>), <span class="ident">f64x8::splat</span>(<span class="ident">EPSILON64</span>) }
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">value_stability</span>() {
<span class="kw">fn</span> <span class="ident">test_samples</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="ident">Copy</span> <span class="op">+</span> <span class="ident">core::fmt::Debug</span> <span class="op">+</span> <span class="ident">PartialEq</span>, <span class="ident">D</span>: <span class="ident">Distribution</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span><span class="op">&gt;</span>(
<span class="ident">distr</span>: <span class="kw-2">&amp;</span><span class="ident">D</span>, <span class="ident">zero</span>: <span class="ident">T</span>, <span class="ident">expected</span>: <span class="kw-2">&amp;</span>[<span class="ident">T</span>],
) {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">rng</span> <span class="op">=</span> <span class="ident"><span class="kw">crate</span>::test::rng</span>(<span class="number">0x6f44f5646c2a7334</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">buf</span> <span class="op">=</span> [<span class="ident">zero</span>; <span class="number">3</span>];
<span class="kw">for</span> <span class="ident">x</span> <span class="kw">in</span> <span class="kw-2">&amp;mut</span> <span class="ident">buf</span> {
<span class="kw-2">*</span><span class="ident">x</span> <span class="op">=</span> <span class="ident">rng</span>.<span class="ident">sample</span>(<span class="kw-2">&amp;</span><span class="ident">distr</span>);
}
<span class="macro">assert_eq!</span>(<span class="kw-2">&amp;</span><span class="ident">buf</span>, <span class="ident">expected</span>);
}
<span class="ident">test_samples</span>(<span class="kw-2">&amp;</span><span class="ident">Standard</span>, <span class="number">0f32</span>, <span class="kw-2">&amp;</span>[<span class="number">0.0035963655</span>, <span class="number">0.7346052</span>, <span class="number">0.09778172</span>]);
<span class="ident">test_samples</span>(<span class="kw-2">&amp;</span><span class="ident">Standard</span>, <span class="number">0f64</span>, <span class="kw-2">&amp;</span>[
<span class="number">0.7346051961657583</span>,
<span class="number">0.20298547462974248</span>,
<span class="number">0.8166436635290655</span>,
]);
<span class="ident">test_samples</span>(<span class="kw-2">&amp;</span><span class="ident">OpenClosed01</span>, <span class="number">0f32</span>, <span class="kw-2">&amp;</span>[<span class="number">0.003596425</span>, <span class="number">0.73460525</span>, <span class="number">0.09778178</span>]);
<span class="ident">test_samples</span>(<span class="kw-2">&amp;</span><span class="ident">OpenClosed01</span>, <span class="number">0f64</span>, <span class="kw-2">&amp;</span>[
<span class="number">0.7346051961657584</span>,
<span class="number">0.2029854746297426</span>,
<span class="number">0.8166436635290656</span>,
]);
<span class="ident">test_samples</span>(<span class="kw-2">&amp;</span><span class="ident">Open01</span>, <span class="number">0f32</span>, <span class="kw-2">&amp;</span>[<span class="number">0.0035963655</span>, <span class="number">0.73460525</span>, <span class="number">0.09778172</span>]);
<span class="ident">test_samples</span>(<span class="kw-2">&amp;</span><span class="ident">Open01</span>, <span class="number">0f64</span>, <span class="kw-2">&amp;</span>[
<span class="number">0.7346051961657584</span>,
<span class="number">0.20298547462974248</span>,
<span class="number">0.8166436635290656</span>,
]);
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;simd_support&quot;</span>)]</span>
{
<span class="comment">// We only test a sub-set of types here. Values are identical to</span>
<span class="comment">// non-SIMD types; we assume this pattern continues across all</span>
<span class="comment">// SIMD types.</span>
<span class="ident">test_samples</span>(<span class="kw-2">&amp;</span><span class="ident">Standard</span>, <span class="ident">f32x2::new</span>(<span class="number">0.0</span>, <span class="number">0.0</span>), <span class="kw-2">&amp;</span>[
<span class="ident">f32x2::new</span>(<span class="number">0.0035963655</span>, <span class="number">0.7346052</span>),
<span class="ident">f32x2::new</span>(<span class="number">0.09778172</span>, <span class="number">0.20298547</span>),
<span class="ident">f32x2::new</span>(<span class="number">0.34296435</span>, <span class="number">0.81664366</span>),
]);
<span class="ident">test_samples</span>(<span class="kw-2">&amp;</span><span class="ident">Standard</span>, <span class="ident">f64x2::new</span>(<span class="number">0.0</span>, <span class="number">0.0</span>), <span class="kw-2">&amp;</span>[
<span class="ident">f64x2::new</span>(<span class="number">0.7346051961657583</span>, <span class="number">0.20298547462974248</span>),
<span class="ident">f64x2::new</span>(<span class="number">0.8166436635290655</span>, <span class="number">0.7423708925400552</span>),
<span class="ident">f64x2::new</span>(<span class="number">0.16387782224016323</span>, <span class="number">0.9087068770169618</span>),
]);
}
}
}
</code></pre></div>
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