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</pre><pre class="rust"><code><span class="kw">use </span>core::ops::{BitAnd, BitOr, BitXor, Shr};
<span class="kw">use </span>Integer;
<span class="doccomment">/// Provides methods to compute the average of two integers, without overflows.
</span><span class="kw">pub trait </span>Average: Integer {
<span class="doccomment">/// Returns the ceiling value of the average of `self` and `other`.
/// -- `⌈(self + other)/2⌉`
///
/// # Examples
///
/// ```
/// use num_integer::Average;
///
/// assert_eq!(( 3).average_ceil(&amp;10), 7);
/// assert_eq!((-2).average_ceil(&amp;-5), -3);
/// assert_eq!(( 4).average_ceil(&amp; 4), 4);
///
/// assert_eq!(u8::max_value().average_ceil(&amp;2), 129);
/// assert_eq!(i8::min_value().average_ceil(&amp;-1), -64);
/// assert_eq!(i8::min_value().average_ceil(&amp;i8::max_value()), 0);
/// ```
///
</span><span class="kw">fn </span>average_ceil(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span><span class="self">Self</span>) -&gt; <span class="self">Self</span>;
<span class="doccomment">/// Returns the floor value of the average of `self` and `other`.
/// -- `⌊(self + other)/2⌋`
///
/// # Examples
///
/// ```
/// use num_integer::Average;
///
/// assert_eq!(( 3).average_floor(&amp;10), 6);
/// assert_eq!((-2).average_floor(&amp;-5), -4);
/// assert_eq!(( 4).average_floor(&amp; 4), 4);
///
/// assert_eq!(u8::max_value().average_floor(&amp;2), 128);
/// assert_eq!(i8::min_value().average_floor(&amp;-1), -65);
/// assert_eq!(i8::min_value().average_floor(&amp;i8::max_value()), -1);
/// ```
///
</span><span class="kw">fn </span>average_floor(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span><span class="self">Self</span>) -&gt; <span class="self">Self</span>;
}
<span class="kw">impl</span>&lt;I&gt; Average <span class="kw">for </span>I
<span class="kw">where
</span>I: Integer + Shr&lt;usize, Output = I&gt;,
<span class="kw">for</span>&lt;<span class="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>&gt; <span class="kw-2">&amp;</span><span class="lifetime">&#39;a </span>I:
BitAnd&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>I, Output = I&gt; + BitOr&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>I, Output = I&gt; + BitXor&lt;<span class="kw-2">&amp;</span><span class="lifetime">&#39;b </span>I, Output = I&gt;,
{
<span class="comment">// The Henry Gordon Dietz implementation as shown in the Hacker&#39;s Delight,
// see http://aggregate.org/MAGIC/#Average%20of%20Integers
</span><span class="doccomment">/// Returns the floor value of the average of `self` and `other`.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>average_floor(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>I) -&gt; I {
(<span class="self">self </span>&amp; other) + ((<span class="self">self </span>^ other) &gt;&gt; <span class="number">1</span>)
}
<span class="doccomment">/// Returns the ceil value of the average of `self` and `other`.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>average_ceil(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span>I) -&gt; I {
(<span class="self">self </span>| other) - ((<span class="self">self </span>^ other) &gt;&gt; <span class="number">1</span>)
}
}
<span class="doccomment">/// Returns the floor value of the average of `x` and `y` --
/// see [Average::average_floor](trait.Average.html#tymethod.average_floor).
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>average_floor&lt;T: Average&gt;(x: T, y: T) -&gt; T {
x.average_floor(<span class="kw-2">&amp;</span>y)
}
<span class="doccomment">/// Returns the ceiling value of the average of `x` and `y` --
/// see [Average::average_ceil](trait.Average.html#tymethod.average_ceil).
</span><span class="attribute">#[inline]
</span><span class="kw">pub fn </span>average_ceil&lt;T: Average&gt;(x: T, y: T) -&gt; T {
x.average_ceil(<span class="kw-2">&amp;</span>y)
}
</code></pre></div>
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