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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source to the Rust file `liballoc/slice.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>slice.rs.html -- source</title><link rel="stylesheet" type="text/css" href="../../normalize.css"><link rel="stylesheet" type="text/css" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../../dark.css"><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script src="../../storage.js"></script><link rel="shortcut icon" href="https://doc.rust-lang.org/favicon.ico"></head><body class="rustdoc source"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><div class="sidebar-menu">&#9776;</div><a href='../../alloc/index.html'><img src='https://www.rust-lang.org/logos/rust-logo-128x128-blk-v2.png' alt='logo' width='100'></a></nav><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!"><img src="../../brush.svg" width="18" alt="Pick another theme!"></button><div id="theme-choices"></div></div><script src="../../theme.js"></script><nav class="sub"><form class="search-form js-only"><div class="search-container"><input class="search-input" name="search" autocomplete="off" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><a id="settings-menu" href="../../settings.html"><img src="../../wheel.svg" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><pre class="line-numbers"><span id="1">  1</span>
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</pre><pre class="rust ">
<span class="comment">// Copyright 2012-2015 The Rust Project Developers. See the COPYRIGHT</span>
<span class="comment">// file at the top-level directory of this distribution and at</span>
<span class="comment">// http://rust-lang.org/COPYRIGHT.</span>
<span class="comment">//</span>
<span class="comment">// Licensed under the Apache License, Version 2.0 &lt;LICENSE-APACHE or</span>
<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0&gt; or the MIT license</span>
<span class="comment">// &lt;LICENSE-MIT or http://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">//! A dynamically-sized view into a contiguous sequence, `[T]`.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! *[See also the slice primitive type](../../std/primitive.slice.html).*</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! Slices are a view into a block of memory represented as a pointer and a</span>
<span class="doccomment">//! length.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! ```</span>
<span class="doccomment">//! // slicing a Vec</span>
<span class="doccomment">//! let vec = vec![1, 2, 3];</span>
<span class="doccomment">//! let int_slice = &amp;vec[..];</span>
<span class="doccomment">//! // coercing an array to a slice</span>
<span class="doccomment">//! let str_slice: &amp;[&amp;str] = &amp;[&quot;one&quot;, &quot;two&quot;, &quot;three&quot;];</span>
<span class="doccomment">//! ```</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! Slices are either mutable or shared. The shared slice type is `&amp;[T]`,</span>
<span class="doccomment">//! while the mutable slice type is `&amp;mut [T]`, where `T` represents the element</span>
<span class="doccomment">//! type. For example, you can mutate the block of memory that a mutable slice</span>
<span class="doccomment">//! points to:</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! ```</span>
<span class="doccomment">//! let x = &amp;mut [1, 2, 3];</span>
<span class="doccomment">//! x[1] = 7;</span>
<span class="doccomment">//! assert_eq!(x, &amp;[1, 7, 3]);</span>
<span class="doccomment">//! ```</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! Here are some of the things this module contains:</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! ## Structs</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! There are several structs that are useful for slices, such as [`Iter`], which</span>
<span class="doccomment">//! represents iteration over a slice.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! ## Trait Implementations</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! There are several implementations of common traits for slices. Some examples</span>
<span class="doccomment">//! include:</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! * [`Clone`]</span>
<span class="doccomment">//! * [`Eq`], [`Ord`] - for slices whose element type are [`Eq`] or [`Ord`].</span>
<span class="doccomment">//! * [`Hash`] - for slices whose element type is [`Hash`].</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! ## Iteration</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! The slices implement `IntoIterator`. The iterator yields references to the</span>
<span class="doccomment">//! slice elements.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! ```</span>
<span class="doccomment">//! let numbers = &amp;[0, 1, 2];</span>
<span class="doccomment">//! for n in numbers {</span>
<span class="doccomment">//!     println!(&quot;{} is a number!&quot;, n);</span>
<span class="doccomment">//! }</span>
<span class="doccomment">//! ```</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! The mutable slice yields mutable references to the elements:</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! ```</span>
<span class="doccomment">//! let mut scores = [7, 8, 9];</span>
<span class="doccomment">//! for score in &amp;mut scores[..] {</span>
<span class="doccomment">//!     *score += 1;</span>
<span class="doccomment">//! }</span>
<span class="doccomment">//! ```</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! This iterator yields mutable references to the slice&#39;s elements, so while</span>
<span class="doccomment">//! the element type of the slice is `i32`, the element type of the iterator is</span>
<span class="doccomment">//! `&amp;mut i32`.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! * [`.iter`] and [`.iter_mut`] are the explicit methods to return the default</span>
<span class="doccomment">//!   iterators.</span>
<span class="doccomment">//! * Further methods that return iterators are [`.split`], [`.splitn`],</span>
<span class="doccomment">//!   [`.chunks`], [`.windows`] and more.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! [`Clone`]: ../../std/clone/trait.Clone.html</span>
<span class="doccomment">//! [`Eq`]: ../../std/cmp/trait.Eq.html</span>
<span class="doccomment">//! [`Ord`]: ../../std/cmp/trait.Ord.html</span>
<span class="doccomment">//! [`Iter`]: struct.Iter.html</span>
<span class="doccomment">//! [`Hash`]: ../../std/hash/trait.Hash.html</span>
<span class="doccomment">//! [`.iter`]: ../../std/primitive.slice.html#method.iter</span>
<span class="doccomment">//! [`.iter_mut`]: ../../std/primitive.slice.html#method.iter_mut</span>
<span class="doccomment">//! [`.split`]: ../../std/primitive.slice.html#method.split</span>
<span class="doccomment">//! [`.splitn`]: ../../std/primitive.slice.html#method.splitn</span>
<span class="doccomment">//! [`.chunks`]: ../../std/primitive.slice.html#method.chunks</span>
<span class="doccomment">//! [`.windows`]: ../../std/primitive.slice.html#method.windows</span>
<span class="attribute">#![<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>

<span class="comment">// Many of the usings in this module are only used in the test configuration.</span>
<span class="comment">// It&#39;s cleaner to just turn off the unused_imports warning than to fix them.</span>
<span class="attribute">#![<span class="ident">cfg_attr</span>(<span class="ident">test</span>, <span class="ident">allow</span>(<span class="ident">unused_imports</span>, <span class="ident">dead_code</span>))]</span>

<span class="kw">use</span> <span class="ident">core</span>::<span class="ident">cmp</span>::<span class="ident">Ordering</span>::{<span class="self">self</span>, <span class="ident">Less</span>};
<span class="kw">use</span> <span class="ident">core</span>::<span class="ident">mem</span>::<span class="ident">size_of</span>;
<span class="kw">use</span> <span class="ident">core</span>::<span class="ident">mem</span>;
<span class="kw">use</span> <span class="ident">core</span>::<span class="ident">ptr</span>;
<span class="kw">use</span> <span class="ident">core</span>::{<span class="ident">u8</span>, <span class="ident">u16</span>, <span class="ident">u32</span>};

<span class="kw">use</span> <span class="ident">borrow</span>::{<span class="ident">Borrow</span>, <span class="ident">BorrowMut</span>, <span class="ident">ToOwned</span>};
<span class="kw">use</span> <span class="ident">boxed</span>::<span class="ident">Box</span>;
<span class="kw">use</span> <span class="ident">vec</span>::<span class="ident">Vec</span>;

<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">slice</span>::{<span class="ident">Chunks</span>, <span class="ident">Windows</span>};
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">slice</span>::{<span class="ident">Iter</span>, <span class="ident">IterMut</span>};
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">slice</span>::{<span class="ident">SplitMut</span>, <span class="ident">ChunksMut</span>, <span class="ident">Split</span>};
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">slice</span>::{<span class="ident">SplitN</span>, <span class="ident">RSplitN</span>, <span class="ident">SplitNMut</span>, <span class="ident">RSplitNMut</span>};
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;slice_rsplit&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.27.0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">slice</span>::{<span class="ident">RSplit</span>, <span class="ident">RSplitMut</span>};
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">slice</span>::{<span class="ident">from_raw_parts</span>, <span class="ident">from_raw_parts_mut</span>};
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;from_ref&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.28.0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">slice</span>::{<span class="ident">from_ref</span>, <span class="ident">from_mut</span>};
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;slice_get_slice&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.28.0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">slice</span>::<span class="ident">SliceIndex</span>;
<span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;exact_chunks&quot;</span>, <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;47115&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">slice</span>::{<span class="ident">ExactChunks</span>, <span class="ident">ExactChunksMut</span>};

<span class="comment">////////////////////////////////////////////////////////////////////////////////</span>
<span class="comment">// Basic slice extension methods</span>
<span class="comment">////////////////////////////////////////////////////////////////////////////////</span>

<span class="comment">// HACK(japaric) needed for the implementation of `vec!` macro during testing</span>
<span class="comment">// NB see the hack module in this file for more details</span>
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="self">self</span>::<span class="ident">hack</span>::<span class="ident">into_vec</span>;

<span class="comment">// HACK(japaric) needed for the implementation of `Vec::clone` during testing</span>
<span class="comment">// NB see the hack module in this file for more details</span>
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">pub</span> <span class="kw">use</span> <span class="self">self</span>::<span class="ident">hack</span>::<span class="ident">to_vec</span>;

<span class="comment">// HACK(japaric): With cfg(test) `impl [T]` is not available, these three</span>
<span class="comment">// functions are actually methods that are in `impl [T]` but not in</span>
<span class="comment">// `core::slice::SliceExt` - we need to supply these functions for the</span>
<span class="comment">// `test_permutations` test</span>
<span class="kw">mod</span> <span class="ident">hack</span> {
    <span class="kw">use</span> <span class="ident">boxed</span>::<span class="ident">Box</span>;
    <span class="kw">use</span> <span class="ident">core</span>::<span class="ident">mem</span>;

    <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
    <span class="kw">use</span> <span class="ident">string</span>::<span class="ident">ToString</span>;
    <span class="kw">use</span> <span class="ident">vec</span>::<span class="ident">Vec</span>;

    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">into_vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>(<span class="kw-2">mut</span> <span class="ident">b</span>: <span class="ident">Box</span><span class="op">&lt;</span>[<span class="ident">T</span>]<span class="op">&gt;</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="kw">unsafe</span> {
            <span class="kw">let</span> <span class="ident">xs</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">from_raw_parts</span>(<span class="ident">b</span>.<span class="ident">as_mut_ptr</span>(), <span class="ident">b</span>.<span class="ident">len</span>(), <span class="ident">b</span>.<span class="ident">len</span>());
            <span class="ident">mem</span>::<span class="ident">forget</span>(<span class="ident">b</span>);
            <span class="ident">xs</span>
        }
    }

    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>(<span class="ident">s</span>: <span class="kw-2">&amp;</span>[<span class="ident">T</span>]) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>
        <span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span>
    {
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">vector</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">s</span>.<span class="ident">len</span>());
        <span class="ident">vector</span>.<span class="ident">extend_from_slice</span>(<span class="ident">s</span>);
        <span class="ident">vector</span>
    }
}

<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">&quot;slice_alloc&quot;</span>]</span>
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">test</span>))]</span>
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> [<span class="ident">T</span>] {
    <span class="doccomment">/// Sorts the slice.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// This sort is stable (i.e. does not reorder equal elements) and `O(n log n)` worst-case.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// When applicable, unstable sorting is preferred because it is generally faster than stable</span>
    <span class="doccomment">/// sorting and it doesn&#39;t allocate auxiliary memory.</span>
    <span class="doccomment">/// See [`sort_unstable`](#method.sort_unstable).</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Current implementation</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// The current algorithm is an adaptive, iterative merge sort inspired by</span>
    <span class="doccomment">/// [timsort](https://en.wikipedia.org/wiki/Timsort).</span>
    <span class="doccomment">/// It is designed to be very fast in cases where the slice is nearly sorted, or consists of</span>
    <span class="doccomment">/// two or more sorted sequences concatenated one after another.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Also, it allocates temporary storage half the size of `self`, but for short slices a</span>
    <span class="doccomment">/// non-allocating insertion sort is used instead.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let mut v = [-5, 4, 1, -3, 2];</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// v.sort();</span>
    <span class="doccomment">/// assert!(v == [-5, -3, 1, 2, 4]);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">sort</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="self">self</span>)
        <span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Ord</span>
    {
        <span class="ident">merge_sort</span>(<span class="self">self</span>, <span class="op">|</span><span class="ident">a</span>, <span class="ident">b</span><span class="op">|</span> <span class="ident">a</span>.<span class="ident">lt</span>(<span class="ident">b</span>));
    }

    <span class="doccomment">/// Sorts the slice with a comparator function.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// This sort is stable (i.e. does not reorder equal elements) and `O(n log n)` worst-case.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// When applicable, unstable sorting is preferred because it is generally faster than stable</span>
    <span class="doccomment">/// sorting and it doesn&#39;t allocate auxiliary memory.</span>
    <span class="doccomment">/// See [`sort_unstable_by`](#method.sort_unstable_by).</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Current implementation</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// The current algorithm is an adaptive, iterative merge sort inspired by</span>
    <span class="doccomment">/// [timsort](https://en.wikipedia.org/wiki/Timsort).</span>
    <span class="doccomment">/// It is designed to be very fast in cases where the slice is nearly sorted, or consists of</span>
    <span class="doccomment">/// two or more sorted sequences concatenated one after another.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Also, it allocates temporary storage half the size of `self`, but for short slices a</span>
    <span class="doccomment">/// non-allocating insertion sort is used instead.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let mut v = [5, 4, 1, 3, 2];</span>
    <span class="doccomment">/// v.sort_by(|a, b| a.cmp(b));</span>
    <span class="doccomment">/// assert!(v == [1, 2, 3, 4, 5]);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// // reverse sorting</span>
    <span class="doccomment">/// v.sort_by(|a, b| b.cmp(a));</span>
    <span class="doccomment">/// assert!(v == [5, 4, 3, 2, 1]);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">sort_by</span><span class="op">&lt;</span><span class="ident">F</span><span class="op">&gt;</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="kw-2">mut</span> <span class="ident">compare</span>: <span class="ident">F</span>)
        <span class="kw">where</span> <span class="ident">F</span>: <span class="ident">FnMut</span>(<span class="kw-2">&amp;</span><span class="ident">T</span>, <span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span>
    {
        <span class="ident">merge_sort</span>(<span class="self">self</span>, <span class="op">|</span><span class="ident">a</span>, <span class="ident">b</span><span class="op">|</span> <span class="ident">compare</span>(<span class="ident">a</span>, <span class="ident">b</span>) <span class="op">==</span> <span class="ident">Less</span>);
    }

    <span class="doccomment">/// Sorts the slice with a key extraction function.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// This sort is stable (i.e. does not reorder equal elements) and `O(m n log(m n))`</span>
    <span class="doccomment">/// worst-case, where the key function is `O(m)`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// When applicable, unstable sorting is preferred because it is generally faster than stable</span>
    <span class="doccomment">/// sorting and it doesn&#39;t allocate auxiliary memory.</span>
    <span class="doccomment">/// See [`sort_unstable_by_key`](#method.sort_unstable_by_key).</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Current implementation</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// The current algorithm is an adaptive, iterative merge sort inspired by</span>
    <span class="doccomment">/// [timsort](https://en.wikipedia.org/wiki/Timsort).</span>
    <span class="doccomment">/// It is designed to be very fast in cases where the slice is nearly sorted, or consists of</span>
    <span class="doccomment">/// two or more sorted sequences concatenated one after another.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Also, it allocates temporary storage half the size of `self`, but for short slices a</span>
    <span class="doccomment">/// non-allocating insertion sort is used instead.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let mut v = [-5i32, 4, 1, -3, 2];</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// v.sort_by_key(|k| k.abs());</span>
    <span class="doccomment">/// assert!(v == [1, 2, -3, 4, -5]);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;slice_sort_by_key&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.7.0&quot;</span>)]</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">sort_by_key</span><span class="op">&lt;</span><span class="ident">K</span>, <span class="ident">F</span><span class="op">&gt;</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="kw-2">mut</span> <span class="ident">f</span>: <span class="ident">F</span>)
        <span class="kw">where</span> <span class="ident">F</span>: <span class="ident">FnMut</span>(<span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">K</span>, <span class="ident">K</span>: <span class="ident">Ord</span>
    {
        <span class="ident">merge_sort</span>(<span class="self">self</span>, <span class="op">|</span><span class="ident">a</span>, <span class="ident">b</span><span class="op">|</span> <span class="ident">f</span>(<span class="ident">a</span>).<span class="ident">lt</span>(<span class="kw-2">&amp;</span><span class="ident">f</span>(<span class="ident">b</span>)));
    }

    <span class="doccomment">/// Sorts the slice with a key extraction function.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// During sorting, the key function is called only once per element.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// This sort is stable (i.e. does not reorder equal elements) and `O(m n + n log n)`</span>
    <span class="doccomment">/// worst-case, where the key function is `O(m)`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// For simple key functions (e.g. functions that are property accesses or</span>
    <span class="doccomment">/// basic operations), [`sort_by_key`](#method.sort_by_key) is likely to be</span>
    <span class="doccomment">/// faster.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Current implementation</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// The current algorithm is based on [pattern-defeating quicksort][pdqsort] by Orson Peters,</span>
    <span class="doccomment">/// which combines the fast average case of randomized quicksort with the fast worst case of</span>
    <span class="doccomment">/// heapsort, while achieving linear time on slices with certain patterns. It uses some</span>
    <span class="doccomment">/// randomization to avoid degenerate cases, but with a fixed seed to always provide</span>
    <span class="doccomment">/// deterministic behavior.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// In the worst case, the algorithm allocates temporary storage in a `Vec&lt;(K, usize)&gt;` the</span>
    <span class="doccomment">/// length of the slice.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// #![feature(slice_sort_by_cached_key)]</span>
    <span class="doccomment">/// let mut v = [-5i32, 4, 32, -3, 2];</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// v.sort_by_cached_key(|k| k.to_string());</span>
    <span class="doccomment">/// assert!(v == [-3, -5, 2, 32, 4]);</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// [pdqsort]: https://github.com/orlp/pdqsort</span>
    <span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;slice_sort_by_cached_key&quot;</span>, <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;34447&quot;</span>)]</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">sort_by_cached_key</span><span class="op">&lt;</span><span class="ident">K</span>, <span class="ident">F</span><span class="op">&gt;</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">f</span>: <span class="ident">F</span>)
        <span class="kw">where</span> <span class="ident">F</span>: <span class="ident">FnMut</span>(<span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">K</span>, <span class="ident">K</span>: <span class="ident">Ord</span>
    {
        <span class="comment">// Helper macro for indexing our vector by the smallest possible type, to reduce allocation.</span>
        <span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">sort_by_key</span> {
            (<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">slice</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">f</span>:<span class="ident">ident</span>) <span class="op">=&gt;</span> ({
                <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">indices</span>: <span class="ident">Vec</span><span class="op">&lt;</span><span class="kw">_</span><span class="op">&gt;</span> <span class="op">=</span>
                    <span class="macro-nonterminal">$</span><span class="macro-nonterminal">slice</span>.<span class="ident">iter</span>().<span class="ident">map</span>(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">f</span>).<span class="ident">enumerate</span>().<span class="ident">map</span>(<span class="op">|</span>(<span class="ident">i</span>, <span class="ident">k</span>)<span class="op">|</span> (<span class="ident">k</span>, <span class="ident">i</span> <span class="kw">as</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>)).<span class="ident">collect</span>();
                <span class="comment">// The elements of `indices` are unique, as they are indexed, so any sort will be</span>
                <span class="comment">// stable with respect to the original slice. We use `sort_unstable` here because</span>
                <span class="comment">// it requires less memory allocation.</span>
                <span class="ident">indices</span>.<span class="ident">sort_unstable</span>();
                <span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="number">0</span>..<span class="macro-nonterminal">$</span><span class="macro-nonterminal">slice</span>.<span class="ident">len</span>() {
                    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">index</span> <span class="op">=</span> <span class="ident">indices</span>[<span class="ident">i</span>].<span class="number">1</span>;
                    <span class="kw">while</span> (<span class="ident">index</span> <span class="kw">as</span> <span class="ident">usize</span>) <span class="op">&lt;</span> <span class="ident">i</span> {
                        <span class="ident">index</span> <span class="op">=</span> <span class="ident">indices</span>[<span class="ident">index</span> <span class="kw">as</span> <span class="ident">usize</span>].<span class="number">1</span>;
                    }
                    <span class="ident">indices</span>[<span class="ident">i</span>].<span class="number">1</span> <span class="op">=</span> <span class="ident">index</span>;
                    <span class="macro-nonterminal">$</span><span class="macro-nonterminal">slice</span>.<span class="ident">swap</span>(<span class="ident">i</span>, <span class="ident">index</span> <span class="kw">as</span> <span class="ident">usize</span>);
                }
            })
        }

        <span class="kw">let</span> <span class="ident">sz_u8</span>    <span class="op">=</span> <span class="ident">mem</span>::<span class="ident">size_of</span>::<span class="op">&lt;</span>(<span class="ident">K</span>, <span class="ident">u8</span>)<span class="op">&gt;</span>();
        <span class="kw">let</span> <span class="ident">sz_u16</span>   <span class="op">=</span> <span class="ident">mem</span>::<span class="ident">size_of</span>::<span class="op">&lt;</span>(<span class="ident">K</span>, <span class="ident">u16</span>)<span class="op">&gt;</span>();
        <span class="kw">let</span> <span class="ident">sz_u32</span>   <span class="op">=</span> <span class="ident">mem</span>::<span class="ident">size_of</span>::<span class="op">&lt;</span>(<span class="ident">K</span>, <span class="ident">u32</span>)<span class="op">&gt;</span>();
        <span class="kw">let</span> <span class="ident">sz_usize</span> <span class="op">=</span> <span class="ident">mem</span>::<span class="ident">size_of</span>::<span class="op">&lt;</span>(<span class="ident">K</span>, <span class="ident">usize</span>)<span class="op">&gt;</span>();

        <span class="kw">let</span> <span class="ident">len</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">len</span>();
        <span class="kw">if</span> <span class="ident">len</span> <span class="op">&lt;</span> <span class="number">2</span> { <span class="kw">return</span> }
        <span class="kw">if</span> <span class="ident">sz_u8</span>  <span class="op">&lt;</span> <span class="ident">sz_u16</span>   <span class="op">&amp;&amp;</span> <span class="ident">len</span> <span class="op">&lt;=</span> ( <span class="ident">u8</span>::<span class="ident">MAX</span> <span class="kw">as</span> <span class="ident">usize</span>) { <span class="kw">return</span> <span class="macro">sort_by_key</span><span class="macro">!</span>( <span class="ident">u8</span>, <span class="self">self</span>, <span class="ident">f</span>) }
        <span class="kw">if</span> <span class="ident">sz_u16</span> <span class="op">&lt;</span> <span class="ident">sz_u32</span>   <span class="op">&amp;&amp;</span> <span class="ident">len</span> <span class="op">&lt;=</span> (<span class="ident">u16</span>::<span class="ident">MAX</span> <span class="kw">as</span> <span class="ident">usize</span>) { <span class="kw">return</span> <span class="macro">sort_by_key</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="self">self</span>, <span class="ident">f</span>) }
        <span class="kw">if</span> <span class="ident">sz_u32</span> <span class="op">&lt;</span> <span class="ident">sz_usize</span> <span class="op">&amp;&amp;</span> <span class="ident">len</span> <span class="op">&lt;=</span> (<span class="ident">u32</span>::<span class="ident">MAX</span> <span class="kw">as</span> <span class="ident">usize</span>) { <span class="kw">return</span> <span class="macro">sort_by_key</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="self">self</span>, <span class="ident">f</span>) }
        <span class="macro">sort_by_key</span><span class="macro">!</span>(<span class="ident">usize</span>, <span class="self">self</span>, <span class="ident">f</span>)
    }

    <span class="doccomment">/// Copies `self` into a new `Vec`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let s = [10, 40, 30];</span>
    <span class="doccomment">/// let x = s.to_vec();</span>
    <span class="doccomment">/// // Here, `s` and `x` can be modified independently.</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">rustc_conversion_suggestion</span>]</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_vec</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>
        <span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span>
    {
        <span class="comment">// NB see hack module in this file</span>
        <span class="ident">hack</span>::<span class="ident">to_vec</span>(<span class="self">self</span>)
    }

    <span class="doccomment">/// Converts `self` into a vector without clones or allocation.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// The resulting vector can be converted back into a box via</span>
    <span class="doccomment">/// `Vec&lt;T&gt;`&#39;s `into_boxed_slice` method.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let s: Box&lt;[i32]&gt; = Box::new([10, 40, 30]);</span>
    <span class="doccomment">/// let x = s.into_vec();</span>
    <span class="doccomment">/// // `s` cannot be used anymore because it has been converted into `x`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(x, vec![10, 40, 30]);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">into_vec</span>(<span class="self">self</span>: <span class="ident">Box</span><span class="op">&lt;</span><span class="self">Self</span><span class="op">&gt;</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="comment">// NB see hack module in this file</span>
        <span class="ident">hack</span>::<span class="ident">into_vec</span>(<span class="self">self</span>)
    }

    <span class="doccomment">/// Creates a vector by repeating a slice `n` times.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Basic usage:</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// #![feature(repeat_generic_slice)]</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// fn main() {</span>
    <span class="doccomment">///     assert_eq!([1, 2].repeat(3), vec![1, 2, 1, 2, 1, 2]);</span>
    <span class="doccomment">/// }</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;repeat_generic_slice&quot;</span>,
               <span class="ident">reason</span> <span class="op">=</span> <span class="string">&quot;it&#39;s on str, why not on slice?&quot;</span>,
               <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;48784&quot;</span>)]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">repeat</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">n</span>: <span class="ident">usize</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> <span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Copy</span> {
        <span class="kw">if</span> <span class="ident">n</span> <span class="op">==</span> <span class="number">0</span> {
            <span class="kw">return</span> <span class="ident">Vec</span>::<span class="ident">new</span>();
        }

        <span class="comment">// If `n` is larger than zero, it can be split as</span>
        <span class="comment">// `n = 2^expn + rem (2^expn &gt; rem, expn &gt;= 0, rem &gt;= 0)`.</span>
        <span class="comment">// `2^expn` is the number represented by the leftmost &#39;1&#39; bit of `n`,</span>
        <span class="comment">// and `rem` is the remaining part of `n`.</span>

        <span class="comment">// Using `Vec` to access `set_len()`.</span>
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">buf</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="self">self</span>.<span class="ident">len</span>() <span class="op">*</span> <span class="ident">n</span>);

        <span class="comment">// `2^expn` repetition is done by doubling `buf` `expn`-times.</span>
        <span class="ident">buf</span>.<span class="ident">extend</span>(<span class="self">self</span>);
        {
            <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">m</span> <span class="op">=</span> <span class="ident">n</span> <span class="op">&gt;&gt;</span> <span class="number">1</span>;
            <span class="comment">// If `m &gt; 0`, there are remaining bits up to the leftmost &#39;1&#39;.</span>
            <span class="kw">while</span> <span class="ident">m</span> <span class="op">&gt;</span> <span class="number">0</span> {
                <span class="comment">// `buf.extend(buf)`:</span>
                <span class="kw">unsafe</span> {
                    <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(
                        <span class="ident">buf</span>.<span class="ident">as_ptr</span>(),
                        (<span class="ident">buf</span>.<span class="ident">as_mut_ptr</span>() <span class="kw">as</span> <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>).<span class="ident">add</span>(<span class="ident">buf</span>.<span class="ident">len</span>()),
                        <span class="ident">buf</span>.<span class="ident">len</span>(),
                    );
                    <span class="comment">// `buf` has capacity of `self.len() * n`.</span>
                    <span class="kw">let</span> <span class="ident">buf_len</span> <span class="op">=</span> <span class="ident">buf</span>.<span class="ident">len</span>();
                    <span class="ident">buf</span>.<span class="ident">set_len</span>(<span class="ident">buf_len</span> <span class="op">*</span> <span class="number">2</span>);
                }

                <span class="ident">m</span> <span class="op">&gt;&gt;=</span> <span class="number">1</span>;
            }
        }

        <span class="comment">// `rem` (`= n - 2^expn`) repetition is done by copying</span>
        <span class="comment">// first `rem` repetitions from `buf` itself.</span>
        <span class="kw">let</span> <span class="ident">rem_len</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">len</span>() <span class="op">*</span> <span class="ident">n</span> <span class="op">-</span> <span class="ident">buf</span>.<span class="ident">len</span>(); <span class="comment">// `self.len() * rem`</span>
        <span class="kw">if</span> <span class="ident">rem_len</span> <span class="op">&gt;</span> <span class="number">0</span> {
            <span class="comment">// `buf.extend(buf[0 .. rem_len])`:</span>
            <span class="kw">unsafe</span> {
                <span class="comment">// This is non-overlapping since `2^expn &gt; rem`.</span>
                <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(
                    <span class="ident">buf</span>.<span class="ident">as_ptr</span>(),
                    (<span class="ident">buf</span>.<span class="ident">as_mut_ptr</span>() <span class="kw">as</span> <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>).<span class="ident">add</span>(<span class="ident">buf</span>.<span class="ident">len</span>()),
                    <span class="ident">rem_len</span>,
                );
                <span class="comment">// `buf.len() + rem_len` equals to `buf.capacity()` (`= self.len() * n`).</span>
                <span class="kw">let</span> <span class="ident">buf_cap</span> <span class="op">=</span> <span class="ident">buf</span>.<span class="ident">capacity</span>();
                <span class="ident">buf</span>.<span class="ident">set_len</span>(<span class="ident">buf_cap</span>);
            }
        }
        <span class="ident">buf</span>
    }
}

<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">&quot;slice_u8_alloc&quot;</span>]</span>
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">test</span>))]</span>
<span class="kw">impl</span> [<span class="ident">u8</span>] {
    <span class="doccomment">/// Returns a vector containing a copy of this slice where each byte</span>
    <span class="doccomment">/// is mapped to its ASCII upper case equivalent.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ASCII letters &#39;a&#39; to &#39;z&#39; are mapped to &#39;A&#39; to &#39;Z&#39;,</span>
    <span class="doccomment">/// but non-ASCII letters are unchanged.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// To uppercase the value in-place, use [`make_ascii_uppercase`].</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// [`make_ascii_uppercase`]: #method.make_ascii_uppercase</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;ascii_methods_on_intrinsics&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.23.0&quot;</span>)]</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_ascii_uppercase</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">u8</span><span class="op">&gt;</span> {
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">me</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">to_vec</span>();
        <span class="ident">me</span>.<span class="ident">make_ascii_uppercase</span>();
        <span class="ident">me</span>
    }

    <span class="doccomment">/// Returns a vector containing a copy of this slice where each byte</span>
    <span class="doccomment">/// is mapped to its ASCII lower case equivalent.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ASCII letters &#39;A&#39; to &#39;Z&#39; are mapped to &#39;a&#39; to &#39;z&#39;,</span>
    <span class="doccomment">/// but non-ASCII letters are unchanged.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// To lowercase the value in-place, use [`make_ascii_lowercase`].</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// [`make_ascii_lowercase`]: #method.make_ascii_lowercase</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;ascii_methods_on_intrinsics&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.23.0&quot;</span>)]</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_ascii_lowercase</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">u8</span><span class="op">&gt;</span> {
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">me</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">to_vec</span>();
        <span class="ident">me</span>.<span class="ident">make_ascii_lowercase</span>();
        <span class="ident">me</span>
    }
}

<span class="comment">////////////////////////////////////////////////////////////////////////////////</span>
<span class="comment">// Extension traits for slices over specific kinds of data</span>
<span class="comment">////////////////////////////////////////////////////////////////////////////////</span>
<span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;slice_concat_ext&quot;</span>,
           <span class="ident">reason</span> <span class="op">=</span> <span class="string">&quot;trait should not have to exist&quot;</span>,
           <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;27747&quot;</span>)]</span>
<span class="doccomment">/// An extension trait for concatenating slices</span>
<span class="doccomment">///</span>
<span class="doccomment">/// While this trait is unstable, the methods are stable. `SliceConcatExt` is</span>
<span class="doccomment">/// included in the [standard library prelude], so you can use [`join()`] and</span>
<span class="doccomment">/// [`concat()`] as if they existed on `[T]` itself.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// [standard library prelude]: ../../std/prelude/index.html</span>
<span class="doccomment">/// [`join()`]: #tymethod.join</span>
<span class="doccomment">/// [`concat()`]: #tymethod.concat</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">SliceConcatExt</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> {
    <span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;slice_concat_ext&quot;</span>,
               <span class="ident">reason</span> <span class="op">=</span> <span class="string">&quot;trait should not have to exist&quot;</span>,
               <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;27747&quot;</span>)]</span>
    <span class="doccomment">/// The resulting type after concatenation</span>
    <span class="kw">type</span> <span class="ident">Output</span>;

    <span class="doccomment">/// Flattens a slice of `T` into a single value `Self::Output`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// assert_eq!([&quot;hello&quot;, &quot;world&quot;].concat(), &quot;helloworld&quot;);</span>
    <span class="doccomment">/// assert_eq!([[1, 2], [3, 4]].concat(), [1, 2, 3, 4]);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
    <span class="kw">fn</span> <span class="ident">concat</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>::<span class="ident">Output</span>;

    <span class="doccomment">/// Flattens a slice of `T` into a single value `Self::Output`, placing a</span>
    <span class="doccomment">/// given separator between each.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// assert_eq!([&quot;hello&quot;, &quot;world&quot;].join(&quot; &quot;), &quot;hello world&quot;);</span>
    <span class="doccomment">/// assert_eq!([[1, 2], [3, 4]].join(&amp;0), [1, 2, 0, 3, 4]);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rename_connect_to_join&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.3.0&quot;</span>)]</span>
    <span class="kw">fn</span> <span class="ident">join</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">sep</span>: <span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="self">Self</span>::<span class="ident">Output</span>;

    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
    <span class="attribute">#[<span class="ident">rustc_deprecated</span>(<span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.3.0&quot;</span>, <span class="ident">reason</span> <span class="op">=</span> <span class="string">&quot;renamed to join&quot;</span>)]</span>
    <span class="kw">fn</span> <span class="ident">connect</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">sep</span>: <span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="self">Self</span>::<span class="ident">Output</span>;
}

<span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;slice_concat_ext&quot;</span>,
           <span class="ident">reason</span> <span class="op">=</span> <span class="string">&quot;trait should not have to exist&quot;</span>,
           <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;27747&quot;</span>)]</span>
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="ident">Clone</span>, <span class="ident">V</span>: <span class="ident">Borrow</span><span class="op">&lt;</span>[<span class="ident">T</span>]<span class="op">&gt;&gt;</span> <span class="ident">SliceConcatExt</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> <span class="kw">for</span> [<span class="ident">V</span>] {
    <span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>;

    <span class="kw">fn</span> <span class="ident">concat</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="kw">let</span> <span class="ident">size</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">iter</span>().<span class="ident">fold</span>(<span class="number">0</span>, <span class="op">|</span><span class="ident">acc</span>, <span class="ident">v</span><span class="op">|</span> <span class="ident">acc</span> <span class="op">+</span> <span class="ident">v</span>.<span class="ident">borrow</span>().<span class="ident">len</span>());
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">result</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">size</span>);
        <span class="kw">for</span> <span class="ident">v</span> <span class="kw">in</span> <span class="self">self</span> {
            <span class="ident">result</span>.<span class="ident">extend_from_slice</span>(<span class="ident">v</span>.<span class="ident">borrow</span>())
        }
        <span class="ident">result</span>
    }

    <span class="kw">fn</span> <span class="ident">join</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">sep</span>: <span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">iter</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">iter</span>();
        <span class="kw">let</span> <span class="ident">first</span> <span class="op">=</span> <span class="kw">match</span> <span class="ident">iter</span>.<span class="ident">next</span>() {
            <span class="prelude-val">Some</span>(<span class="ident">first</span>) <span class="op">=&gt;</span> <span class="ident">first</span>,
            <span class="prelude-val">None</span> <span class="op">=&gt;</span> <span class="kw">return</span> <span class="macro">vec</span><span class="macro">!</span>[],
        };
        <span class="kw">let</span> <span class="ident">size</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">iter</span>().<span class="ident">fold</span>(<span class="number">0</span>, <span class="op">|</span><span class="ident">acc</span>, <span class="ident">v</span><span class="op">|</span> <span class="ident">acc</span> <span class="op">+</span> <span class="ident">v</span>.<span class="ident">borrow</span>().<span class="ident">len</span>());
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">result</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">size</span> <span class="op">+</span> <span class="self">self</span>.<span class="ident">len</span>());
        <span class="ident">result</span>.<span class="ident">extend_from_slice</span>(<span class="ident">first</span>.<span class="ident">borrow</span>());

        <span class="kw">for</span> <span class="ident">v</span> <span class="kw">in</span> <span class="ident">iter</span> {
            <span class="ident">result</span>.<span class="ident">push</span>(<span class="ident">sep</span>.<span class="ident">clone</span>());
            <span class="ident">result</span>.<span class="ident">extend_from_slice</span>(<span class="ident">v</span>.<span class="ident">borrow</span>())
        }
        <span class="ident">result</span>
    }

    <span class="kw">fn</span> <span class="ident">connect</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">sep</span>: <span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="self">self</span>.<span class="ident">join</span>(<span class="ident">sep</span>)
    }
}

<span class="comment">////////////////////////////////////////////////////////////////////////////////</span>
<span class="comment">// Standard trait implementations for slices</span>
<span class="comment">////////////////////////////////////////////////////////////////////////////////</span>

<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> <span class="ident">Borrow</span><span class="op">&lt;</span>[<span class="ident">T</span>]<span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
    <span class="kw">fn</span> <span class="ident">borrow</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) <span class="op">-&gt;</span> <span class="kw-2">&amp;</span>[<span class="ident">T</span>] {
        <span class="kw-2">&amp;</span><span class="self">self</span>[..]
    }
}

<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> <span class="ident">BorrowMut</span><span class="op">&lt;</span>[<span class="ident">T</span>]<span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
    <span class="kw">fn</span> <span class="ident">borrow_mut</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="self">self</span>) <span class="op">-&gt;</span> <span class="kw-2">&amp;</span><span class="kw-2">mut</span> [<span class="ident">T</span>] {
        <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="self">self</span>[..]
    }
}

<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="ident">Clone</span><span class="op">&gt;</span> <span class="ident">ToOwned</span> <span class="kw">for</span> [<span class="ident">T</span>] {
    <span class="kw">type</span> <span class="ident">Owned</span> <span class="op">=</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>;
    <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">test</span>))]</span>
    <span class="kw">fn</span> <span class="ident">to_owned</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="self">self</span>.<span class="ident">to_vec</span>()
    }

    <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
    <span class="kw">fn</span> <span class="ident">to_owned</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="ident">hack</span>::<span class="ident">to_vec</span>(<span class="self">self</span>)
    }

    <span class="kw">fn</span> <span class="ident">clone_into</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">target</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>) {
        <span class="comment">// drop anything in target that will not be overwritten</span>
        <span class="ident">target</span>.<span class="ident">truncate</span>(<span class="self">self</span>.<span class="ident">len</span>());
        <span class="kw">let</span> <span class="ident">len</span> <span class="op">=</span> <span class="ident">target</span>.<span class="ident">len</span>();

        <span class="comment">// reuse the contained values&#39; allocations/resources.</span>
        <span class="ident">target</span>.<span class="ident">clone_from_slice</span>(<span class="kw-2">&amp;</span><span class="self">self</span>[..<span class="ident">len</span>]);

        <span class="comment">// target.len &lt;= self.len due to the truncate above, so the</span>
        <span class="comment">// slice here is always in-bounds.</span>
        <span class="ident">target</span>.<span class="ident">extend_from_slice</span>(<span class="kw-2">&amp;</span><span class="self">self</span>[<span class="ident">len</span>..]);
    }
}

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

<span class="doccomment">/// Inserts `v[0]` into pre-sorted sequence `v[1..]` so that whole `v[..]` becomes sorted.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This is the integral subroutine of insertion sort.</span>
<span class="kw">fn</span> <span class="ident">insert_head</span><span class="op">&lt;</span><span class="ident">T</span>, <span class="ident">F</span><span class="op">&gt;</span>(<span class="ident">v</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> [<span class="ident">T</span>], <span class="ident">is_less</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">F</span>)
    <span class="kw">where</span> <span class="ident">F</span>: <span class="ident">FnMut</span>(<span class="kw-2">&amp;</span><span class="ident">T</span>, <span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">bool</span>
{
    <span class="kw">if</span> <span class="ident">v</span>.<span class="ident">len</span>() <span class="op">&gt;=</span> <span class="number">2</span> <span class="op">&amp;&amp;</span> <span class="ident">is_less</span>(<span class="kw-2">&amp;</span><span class="ident">v</span>[<span class="number">1</span>], <span class="kw-2">&amp;</span><span class="ident">v</span>[<span class="number">0</span>]) {
        <span class="kw">unsafe</span> {
            <span class="comment">// There are three ways to implement insertion here:</span>
            <span class="comment">//</span>
            <span class="comment">// 1. Swap adjacent elements until the first one gets to its final destination.</span>
            <span class="comment">//    However, this way we copy data around more than is necessary. If elements are big</span>
            <span class="comment">//    structures (costly to copy), this method will be slow.</span>
            <span class="comment">//</span>
            <span class="comment">// 2. Iterate until the right place for the first element is found. Then shift the</span>
            <span class="comment">//    elements succeeding it to make room for it and finally place it into the</span>
            <span class="comment">//    remaining hole. This is a good method.</span>
            <span class="comment">//</span>
            <span class="comment">// 3. Copy the first element into a temporary variable. Iterate until the right place</span>
            <span class="comment">//    for it is found. As we go along, copy every traversed element into the slot</span>
            <span class="comment">//    preceding it. Finally, copy data from the temporary variable into the remaining</span>
            <span class="comment">//    hole. This method is very good. Benchmarks demonstrated slightly better</span>
            <span class="comment">//    performance than with the 2nd method.</span>
            <span class="comment">//</span>
            <span class="comment">// All methods were benchmarked, and the 3rd showed best results. So we chose that one.</span>
            <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">tmp</span> <span class="op">=</span> <span class="ident">mem</span>::<span class="ident">ManuallyDrop</span>::<span class="ident">new</span>(<span class="ident">ptr</span>::<span class="ident">read</span>(<span class="kw-2">&amp;</span><span class="ident">v</span>[<span class="number">0</span>]));

            <span class="comment">// Intermediate state of the insertion process is always tracked by `hole`, which</span>
            <span class="comment">// serves two purposes:</span>
            <span class="comment">// 1. Protects integrity of `v` from panics in `is_less`.</span>
            <span class="comment">// 2. Fills the remaining hole in `v` in the end.</span>
            <span class="comment">//</span>
            <span class="comment">// Panic safety:</span>
            <span class="comment">//</span>
            <span class="comment">// If `is_less` panics at any point during the process, `hole` will get dropped and</span>
            <span class="comment">// fill the hole in `v` with `tmp`, thus ensuring that `v` still holds every object it</span>
            <span class="comment">// initially held exactly once.</span>
            <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">hole</span> <span class="op">=</span> <span class="ident">InsertionHole</span> {
                <span class="ident">src</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="kw-2">*</span><span class="ident">tmp</span>,
                <span class="ident">dest</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">v</span>[<span class="number">1</span>],
            };
            <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(<span class="kw-2">&amp;</span><span class="ident">v</span>[<span class="number">1</span>], <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">v</span>[<span class="number">0</span>], <span class="number">1</span>);

            <span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> <span class="number">2</span>..<span class="ident">v</span>.<span class="ident">len</span>() {
                <span class="kw">if</span> <span class="op">!</span><span class="ident">is_less</span>(<span class="kw-2">&amp;</span><span class="ident">v</span>[<span class="ident">i</span>], <span class="kw-2">&amp;</span><span class="kw-2">*</span><span class="ident">tmp</span>) {
                    <span class="kw">break</span>;
                }
                <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(<span class="kw-2">&amp;</span><span class="ident">v</span>[<span class="ident">i</span>], <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">v</span>[<span class="ident">i</span> <span class="op">-</span> <span class="number">1</span>], <span class="number">1</span>);
                <span class="ident">hole</span>.<span class="ident">dest</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">v</span>[<span class="ident">i</span>];
            }
            <span class="comment">// `hole` gets dropped and thus copies `tmp` into the remaining hole in `v`.</span>
        }
    }

    <span class="comment">// When dropped, copies from `src` into `dest`.</span>
    <span class="kw">struct</span> <span class="ident">InsertionHole</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="ident">src</span>: <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>,
        <span class="ident">dest</span>: <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>,
    }

    <span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> <span class="ident">Drop</span> <span class="kw">for</span> <span class="ident">InsertionHole</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="kw">fn</span> <span class="ident">drop</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="self">self</span>) {
            <span class="kw">unsafe</span> { <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(<span class="self">self</span>.<span class="ident">src</span>, <span class="self">self</span>.<span class="ident">dest</span>, <span class="number">1</span>); }
        }
    }
}

<span class="doccomment">/// Merges non-decreasing runs `v[..mid]` and `v[mid..]` using `buf` as temporary storage, and</span>
<span class="doccomment">/// stores the result into `v[..]`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Safety</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The two slices must be non-empty and `mid` must be in bounds. Buffer `buf` must be long enough</span>
<span class="doccomment">/// to hold a copy of the shorter slice. Also, `T` must not be a zero-sized type.</span>
<span class="kw">unsafe</span> <span class="kw">fn</span> <span class="ident">merge</span><span class="op">&lt;</span><span class="ident">T</span>, <span class="ident">F</span><span class="op">&gt;</span>(<span class="ident">v</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> [<span class="ident">T</span>], <span class="ident">mid</span>: <span class="ident">usize</span>, <span class="ident">buf</span>: <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>, <span class="ident">is_less</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">F</span>)
    <span class="kw">where</span> <span class="ident">F</span>: <span class="ident">FnMut</span>(<span class="kw-2">&amp;</span><span class="ident">T</span>, <span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">bool</span>
{
    <span class="kw">let</span> <span class="ident">len</span> <span class="op">=</span> <span class="ident">v</span>.<span class="ident">len</span>();
    <span class="kw">let</span> <span class="ident">v</span> <span class="op">=</span> <span class="ident">v</span>.<span class="ident">as_mut_ptr</span>();
    <span class="kw">let</span> <span class="ident">v_mid</span> <span class="op">=</span> <span class="ident">v</span>.<span class="ident">offset</span>(<span class="ident">mid</span> <span class="kw">as</span> <span class="ident">isize</span>);
    <span class="kw">let</span> <span class="ident">v_end</span> <span class="op">=</span> <span class="ident">v</span>.<span class="ident">offset</span>(<span class="ident">len</span> <span class="kw">as</span> <span class="ident">isize</span>);

    <span class="comment">// The merge process first copies the shorter run into `buf`. Then it traces the newly copied</span>
    <span class="comment">// run and the longer run forwards (or backwards), comparing their next unconsumed elements and</span>
    <span class="comment">// copying the lesser (or greater) one into `v`.</span>
    <span class="comment">//</span>
    <span class="comment">// As soon as the shorter run is fully consumed, the process is done. If the longer run gets</span>
    <span class="comment">// consumed first, then we must copy whatever is left of the shorter run into the remaining</span>
    <span class="comment">// hole in `v`.</span>
    <span class="comment">//</span>
    <span class="comment">// Intermediate state of the process is always tracked by `hole`, which serves two purposes:</span>
    <span class="comment">// 1. Protects integrity of `v` from panics in `is_less`.</span>
    <span class="comment">// 2. Fills the remaining hole in `v` if the longer run gets consumed first.</span>
    <span class="comment">//</span>
    <span class="comment">// Panic safety:</span>
    <span class="comment">//</span>
    <span class="comment">// If `is_less` panics at any point during the process, `hole` will get dropped and fill the</span>
    <span class="comment">// hole in `v` with the unconsumed range in `buf`, thus ensuring that `v` still holds every</span>
    <span class="comment">// object it initially held exactly once.</span>
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">hole</span>;

    <span class="kw">if</span> <span class="ident">mid</span> <span class="op">&lt;=</span> <span class="ident">len</span> <span class="op">-</span> <span class="ident">mid</span> {
        <span class="comment">// The left run is shorter.</span>
        <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(<span class="ident">v</span>, <span class="ident">buf</span>, <span class="ident">mid</span>);
        <span class="ident">hole</span> <span class="op">=</span> <span class="ident">MergeHole</span> {
            <span class="ident">start</span>: <span class="ident">buf</span>,
            <span class="ident">end</span>: <span class="ident">buf</span>.<span class="ident">offset</span>(<span class="ident">mid</span> <span class="kw">as</span> <span class="ident">isize</span>),
            <span class="ident">dest</span>: <span class="ident">v</span>,
        };

        <span class="comment">// Initially, these pointers point to the beginnings of their arrays.</span>
        <span class="kw">let</span> <span class="ident">left</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">hole</span>.<span class="ident">start</span>;
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">right</span> <span class="op">=</span> <span class="ident">v_mid</span>;
        <span class="kw">let</span> <span class="ident">out</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">hole</span>.<span class="ident">dest</span>;

        <span class="kw">while</span> <span class="kw-2">*</span><span class="ident">left</span> <span class="op">&lt;</span> <span class="ident">hole</span>.<span class="ident">end</span> <span class="op">&amp;&amp;</span> <span class="ident">right</span> <span class="op">&lt;</span> <span class="ident">v_end</span> {
            <span class="comment">// Consume the lesser side.</span>
            <span class="comment">// If equal, prefer the left run to maintain stability.</span>
            <span class="kw">let</span> <span class="ident">to_copy</span> <span class="op">=</span> <span class="kw">if</span> <span class="ident">is_less</span>(<span class="kw-2">&amp;</span><span class="kw-2">*</span><span class="ident">right</span>, <span class="kw-2">&amp;</span><span class="kw-2">*</span><span class="kw-2">*</span><span class="ident">left</span>) {
                <span class="ident">get_and_increment</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">right</span>)
            } <span class="kw">else</span> {
                <span class="ident">get_and_increment</span>(<span class="ident">left</span>)
            };
            <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(<span class="ident">to_copy</span>, <span class="ident">get_and_increment</span>(<span class="ident">out</span>), <span class="number">1</span>);
        }
    } <span class="kw">else</span> {
        <span class="comment">// The right run is shorter.</span>
        <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(<span class="ident">v_mid</span>, <span class="ident">buf</span>, <span class="ident">len</span> <span class="op">-</span> <span class="ident">mid</span>);
        <span class="ident">hole</span> <span class="op">=</span> <span class="ident">MergeHole</span> {
            <span class="ident">start</span>: <span class="ident">buf</span>,
            <span class="ident">end</span>: <span class="ident">buf</span>.<span class="ident">offset</span>((<span class="ident">len</span> <span class="op">-</span> <span class="ident">mid</span>) <span class="kw">as</span> <span class="ident">isize</span>),
            <span class="ident">dest</span>: <span class="ident">v_mid</span>,
        };

        <span class="comment">// Initially, these pointers point past the ends of their arrays.</span>
        <span class="kw">let</span> <span class="ident">left</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">hole</span>.<span class="ident">dest</span>;
        <span class="kw">let</span> <span class="ident">right</span> <span class="op">=</span> <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">hole</span>.<span class="ident">end</span>;
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">out</span> <span class="op">=</span> <span class="ident">v_end</span>;

        <span class="kw">while</span> <span class="ident">v</span> <span class="op">&lt;</span> <span class="kw-2">*</span><span class="ident">left</span> <span class="op">&amp;&amp;</span> <span class="ident">buf</span> <span class="op">&lt;</span> <span class="kw-2">*</span><span class="ident">right</span> {
            <span class="comment">// Consume the greater side.</span>
            <span class="comment">// If equal, prefer the right run to maintain stability.</span>
            <span class="kw">let</span> <span class="ident">to_copy</span> <span class="op">=</span> <span class="kw">if</span> <span class="ident">is_less</span>(<span class="kw-2">&amp;</span><span class="kw-2">*</span><span class="ident">right</span>.<span class="ident">offset</span>(<span class="op">-</span><span class="number">1</span>), <span class="kw-2">&amp;</span><span class="kw-2">*</span><span class="ident">left</span>.<span class="ident">offset</span>(<span class="op">-</span><span class="number">1</span>)) {
                <span class="ident">decrement_and_get</span>(<span class="ident">left</span>)
            } <span class="kw">else</span> {
                <span class="ident">decrement_and_get</span>(<span class="ident">right</span>)
            };
            <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(<span class="ident">to_copy</span>, <span class="ident">decrement_and_get</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">out</span>), <span class="number">1</span>);
        }
    }
    <span class="comment">// Finally, `hole` gets dropped. If the shorter run was not fully consumed, whatever remains of</span>
    <span class="comment">// it will now be copied into the hole in `v`.</span>

    <span class="kw">unsafe</span> <span class="kw">fn</span> <span class="ident">get_and_increment</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>(<span class="ident">ptr</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>) <span class="op">-&gt;</span> <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span> {
        <span class="kw">let</span> <span class="ident">old</span> <span class="op">=</span> <span class="kw-2">*</span><span class="ident">ptr</span>;
        <span class="kw-2">*</span><span class="ident">ptr</span> <span class="op">=</span> <span class="ident">ptr</span>.<span class="ident">offset</span>(<span class="number">1</span>);
        <span class="ident">old</span>
    }

    <span class="kw">unsafe</span> <span class="kw">fn</span> <span class="ident">decrement_and_get</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>(<span class="ident">ptr</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>) <span class="op">-&gt;</span> <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span> {
        <span class="kw-2">*</span><span class="ident">ptr</span> <span class="op">=</span> <span class="ident">ptr</span>.<span class="ident">offset</span>(<span class="op">-</span><span class="number">1</span>);
        <span class="kw-2">*</span><span class="ident">ptr</span>
    }

    <span class="comment">// When dropped, copies the range `start..end` into `dest..`.</span>
    <span class="kw">struct</span> <span class="ident">MergeHole</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="ident">start</span>: <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>,
        <span class="ident">end</span>: <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>,
        <span class="ident">dest</span>: <span class="kw-2">*</span><span class="kw-2">mut</span> <span class="ident">T</span>,
    }

    <span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> <span class="ident">Drop</span> <span class="kw">for</span> <span class="ident">MergeHole</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
        <span class="kw">fn</span> <span class="ident">drop</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="self">self</span>) {
            <span class="comment">// `T` is not a zero-sized type, so it&#39;s okay to divide by its size.</span>
            <span class="kw">let</span> <span class="ident">len</span> <span class="op">=</span> (<span class="self">self</span>.<span class="ident">end</span> <span class="kw">as</span> <span class="ident">usize</span> <span class="op">-</span> <span class="self">self</span>.<span class="ident">start</span> <span class="kw">as</span> <span class="ident">usize</span>) <span class="op">/</span> <span class="ident">mem</span>::<span class="ident">size_of</span>::<span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>();
            <span class="kw">unsafe</span> { <span class="ident">ptr</span>::<span class="ident">copy_nonoverlapping</span>(<span class="self">self</span>.<span class="ident">start</span>, <span class="self">self</span>.<span class="ident">dest</span>, <span class="ident">len</span>); }
        }
    }
}

<span class="doccomment">/// This merge sort borrows some (but not all) ideas from TimSort, which is described in detail</span>
<span class="doccomment">/// [here](http://svn.python.org/projects/python/trunk/Objects/listsort.txt).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The algorithm identifies strictly descending and non-descending subsequences, which are called</span>
<span class="doccomment">/// natural runs. There is a stack of pending runs yet to be merged. Each newly found run is pushed</span>
<span class="doccomment">/// onto the stack, and then some pairs of adjacent runs are merged until these two invariants are</span>
<span class="doccomment">/// satisfied:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// 1. for every `i` in `1..runs.len()`: `runs[i - 1].len &gt; runs[i].len`</span>
<span class="doccomment">/// 2. for every `i` in `2..runs.len()`: `runs[i - 2].len &gt; runs[i - 1].len + runs[i].len`</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The invariants ensure that the total running time is `O(n log n)` worst-case.</span>
<span class="kw">fn</span> <span class="ident">merge_sort</span><span class="op">&lt;</span><span class="ident">T</span>, <span class="ident">F</span><span class="op">&gt;</span>(<span class="ident">v</span>: <span class="kw-2">&amp;</span><span class="kw-2">mut</span> [<span class="ident">T</span>], <span class="kw-2">mut</span> <span class="ident">is_less</span>: <span class="ident">F</span>)
    <span class="kw">where</span> <span class="ident">F</span>: <span class="ident">FnMut</span>(<span class="kw-2">&amp;</span><span class="ident">T</span>, <span class="kw-2">&amp;</span><span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">bool</span>
{
    <span class="comment">// Slices of up to this length get sorted using insertion sort.</span>
    <span class="kw">const</span> <span class="ident">MAX_INSERTION</span>: <span class="ident">usize</span> <span class="op">=</span> <span class="number">20</span>;
    <span class="comment">// Very short runs are extended using insertion sort to span at least this many elements.</span>
    <span class="kw">const</span> <span class="ident">MIN_RUN</span>: <span class="ident">usize</span> <span class="op">=</span> <span class="number">10</span>;

    <span class="comment">// Sorting has no meaningful behavior on zero-sized types.</span>
    <span class="kw">if</span> <span class="ident">size_of</span>::<span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>() <span class="op">==</span> <span class="number">0</span> {
        <span class="kw">return</span>;
    }

    <span class="kw">let</span> <span class="ident">len</span> <span class="op">=</span> <span class="ident">v</span>.<span class="ident">len</span>();

    <span class="comment">// Short arrays get sorted in-place via insertion sort to avoid allocations.</span>
    <span class="kw">if</span> <span class="ident">len</span> <span class="op">&lt;=</span> <span class="ident">MAX_INSERTION</span> {
        <span class="kw">if</span> <span class="ident">len</span> <span class="op">&gt;=</span> <span class="number">2</span> {
            <span class="kw">for</span> <span class="ident">i</span> <span class="kw">in</span> (<span class="number">0</span>..<span class="ident">len</span><span class="op">-</span><span class="number">1</span>).<span class="ident">rev</span>() {
                <span class="ident">insert_head</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">v</span>[<span class="ident">i</span>..], <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">is_less</span>);
            }
        }
        <span class="kw">return</span>;
    }

    <span class="comment">// Allocate a buffer to use as scratch memory. We keep the length 0 so we can keep in it</span>
    <span class="comment">// shallow copies of the contents of `v` without risking the dtors running on copies if</span>
    <span class="comment">// `is_less` panics. When merging two sorted runs, this buffer holds a copy of the shorter run,</span>
    <span class="comment">// which will always have length at most `len / 2`.</span>
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">buf</span> <span class="op">=</span> <span class="ident">Vec</span>::<span class="ident">with_capacity</span>(<span class="ident">len</span> <span class="op">/</span> <span class="number">2</span>);

    <span class="comment">// In order to identify natural runs in `v`, we traverse it backwards. That might seem like a</span>
    <span class="comment">// strange decision, but consider the fact that merges more often go in the opposite direction</span>
    <span class="comment">// (forwards). According to benchmarks, merging forwards is slightly faster than merging</span>
    <span class="comment">// backwards. To conclude, identifying runs by traversing backwards improves performance.</span>
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">runs</span> <span class="op">=</span> <span class="macro">vec</span><span class="macro">!</span>[];
    <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">end</span> <span class="op">=</span> <span class="ident">len</span>;
    <span class="kw">while</span> <span class="ident">end</span> <span class="op">&gt;</span> <span class="number">0</span> {
        <span class="comment">// Find the next natural run, and reverse it if it&#39;s strictly descending.</span>
        <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">start</span> <span class="op">=</span> <span class="ident">end</span> <span class="op">-</span> <span class="number">1</span>;
        <span class="kw">if</span> <span class="ident">start</span> <span class="op">&gt;</span> <span class="number">0</span> {
            <span class="ident">start</span> <span class="op">-=</span> <span class="number">1</span>;
            <span class="kw">unsafe</span> {
                <span class="kw">if</span> <span class="ident">is_less</span>(<span class="ident">v</span>.<span class="ident">get_unchecked</span>(<span class="ident">start</span> <span class="op">+</span> <span class="number">1</span>), <span class="ident">v</span>.<span class="ident">get_unchecked</span>(<span class="ident">start</span>)) {
                    <span class="kw">while</span> <span class="ident">start</span> <span class="op">&gt;</span> <span class="number">0</span> <span class="op">&amp;&amp;</span> <span class="ident">is_less</span>(<span class="ident">v</span>.<span class="ident">get_unchecked</span>(<span class="ident">start</span>),
                                               <span class="ident">v</span>.<span class="ident">get_unchecked</span>(<span class="ident">start</span> <span class="op">-</span> <span class="number">1</span>)) {
                        <span class="ident">start</span> <span class="op">-=</span> <span class="number">1</span>;
                    }
                    <span class="ident">v</span>[<span class="ident">start</span>..<span class="ident">end</span>].<span class="ident">reverse</span>();
                } <span class="kw">else</span> {
                    <span class="kw">while</span> <span class="ident">start</span> <span class="op">&gt;</span> <span class="number">0</span> <span class="op">&amp;&amp;</span> <span class="op">!</span><span class="ident">is_less</span>(<span class="ident">v</span>.<span class="ident">get_unchecked</span>(<span class="ident">start</span>),
                                                <span class="ident">v</span>.<span class="ident">get_unchecked</span>(<span class="ident">start</span> <span class="op">-</span> <span class="number">1</span>)) {
                        <span class="ident">start</span> <span class="op">-=</span> <span class="number">1</span>;
                    }
                }
            }
        }

        <span class="comment">// Insert some more elements into the run if it&#39;s too short. Insertion sort is faster than</span>
        <span class="comment">// merge sort on short sequences, so this significantly improves performance.</span>
        <span class="kw">while</span> <span class="ident">start</span> <span class="op">&gt;</span> <span class="number">0</span> <span class="op">&amp;&amp;</span> <span class="ident">end</span> <span class="op">-</span> <span class="ident">start</span> <span class="op">&lt;</span> <span class="ident">MIN_RUN</span> {
            <span class="ident">start</span> <span class="op">-=</span> <span class="number">1</span>;
            <span class="ident">insert_head</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">v</span>[<span class="ident">start</span>..<span class="ident">end</span>], <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">is_less</span>);
        }

        <span class="comment">// Push this run onto the stack.</span>
        <span class="ident">runs</span>.<span class="ident">push</span>(<span class="ident">Run</span> {
            <span class="ident">start</span>,
            <span class="ident">len</span>: <span class="ident">end</span> <span class="op">-</span> <span class="ident">start</span>,
        });
        <span class="ident">end</span> <span class="op">=</span> <span class="ident">start</span>;

        <span class="comment">// Merge some pairs of adjacent runs to satisfy the invariants.</span>
        <span class="kw">while</span> <span class="kw">let</span> <span class="prelude-val">Some</span>(<span class="ident">r</span>) <span class="op">=</span> <span class="ident">collapse</span>(<span class="kw-2">&amp;</span><span class="ident">runs</span>) {
            <span class="kw">let</span> <span class="ident">left</span> <span class="op">=</span> <span class="ident">runs</span>[<span class="ident">r</span> <span class="op">+</span> <span class="number">1</span>];
            <span class="kw">let</span> <span class="ident">right</span> <span class="op">=</span> <span class="ident">runs</span>[<span class="ident">r</span>];
            <span class="kw">unsafe</span> {
                <span class="ident">merge</span>(<span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">v</span>[<span class="ident">left</span>.<span class="ident">start</span> .. <span class="ident">right</span>.<span class="ident">start</span> <span class="op">+</span> <span class="ident">right</span>.<span class="ident">len</span>], <span class="ident">left</span>.<span class="ident">len</span>, <span class="ident">buf</span>.<span class="ident">as_mut_ptr</span>(),
                      <span class="kw-2">&amp;</span><span class="kw-2">mut</span> <span class="ident">is_less</span>);
            }
            <span class="ident">runs</span>[<span class="ident">r</span>] <span class="op">=</span> <span class="ident">Run</span> {
                <span class="ident">start</span>: <span class="ident">left</span>.<span class="ident">start</span>,
                <span class="ident">len</span>: <span class="ident">left</span>.<span class="ident">len</span> <span class="op">+</span> <span class="ident">right</span>.<span class="ident">len</span>,
            };
            <span class="ident">runs</span>.<span class="ident">remove</span>(<span class="ident">r</span> <span class="op">+</span> <span class="number">1</span>);
        }
    }

    <span class="comment">// Finally, exactly one run must remain in the stack.</span>
    <span class="macro">debug_assert</span><span class="macro">!</span>(<span class="ident">runs</span>.<span class="ident">len</span>() <span class="op">==</span> <span class="number">1</span> <span class="op">&amp;&amp;</span> <span class="ident">runs</span>[<span class="number">0</span>].<span class="ident">start</span> <span class="op">==</span> <span class="number">0</span> <span class="op">&amp;&amp;</span> <span class="ident">runs</span>[<span class="number">0</span>].<span class="ident">len</span> <span class="op">==</span> <span class="ident">len</span>);

    <span class="comment">// Examines the stack of runs and identifies the next pair of runs to merge. More specifically,</span>
    <span class="comment">// if `Some(r)` is returned, that means `runs[r]` and `runs[r + 1]` must be merged next. If the</span>
    <span class="comment">// algorithm should continue building a new run instead, `None` is returned.</span>
    <span class="comment">//</span>
    <span class="comment">// TimSort is infamous for its buggy implementations, as described here:</span>
    <span class="comment">// http://envisage-project.eu/timsort-specification-and-verification/</span>
    <span class="comment">//</span>
    <span class="comment">// The gist of the story is: we must enforce the invariants on the top four runs on the stack.</span>
    <span class="comment">// Enforcing them on just top three is not sufficient to ensure that the invariants will still</span>
    <span class="comment">// hold for *all* runs in the stack.</span>
    <span class="comment">//</span>
    <span class="comment">// This function correctly checks invariants for the top four runs. Additionally, if the top</span>
    <span class="comment">// run starts at index 0, it will always demand a merge operation until the stack is fully</span>
    <span class="comment">// collapsed, in order to complete the sort.</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">fn</span> <span class="ident">collapse</span>(<span class="ident">runs</span>: <span class="kw-2">&amp;</span>[<span class="ident">Run</span>]) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">usize</span><span class="op">&gt;</span> {
        <span class="kw">let</span> <span class="ident">n</span> <span class="op">=</span> <span class="ident">runs</span>.<span class="ident">len</span>();
        <span class="kw">if</span> <span class="ident">n</span> <span class="op">&gt;=</span> <span class="number">2</span> <span class="op">&amp;&amp;</span> (<span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">1</span>].<span class="ident">start</span> <span class="op">==</span> <span class="number">0</span> <span class="op">||</span>
                      <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">2</span>].<span class="ident">len</span> <span class="op">&lt;=</span> <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">1</span>].<span class="ident">len</span> <span class="op">||</span>
                      (<span class="ident">n</span> <span class="op">&gt;=</span> <span class="number">3</span> <span class="op">&amp;&amp;</span> <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">3</span>].<span class="ident">len</span> <span class="op">&lt;=</span> <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">2</span>].<span class="ident">len</span> <span class="op">+</span> <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">1</span>].<span class="ident">len</span>) <span class="op">||</span>
                      (<span class="ident">n</span> <span class="op">&gt;=</span> <span class="number">4</span> <span class="op">&amp;&amp;</span> <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">4</span>].<span class="ident">len</span> <span class="op">&lt;=</span> <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">3</span>].<span class="ident">len</span> <span class="op">+</span> <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">2</span>].<span class="ident">len</span>)) {
            <span class="kw">if</span> <span class="ident">n</span> <span class="op">&gt;=</span> <span class="number">3</span> <span class="op">&amp;&amp;</span> <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">3</span>].<span class="ident">len</span> <span class="op">&lt;</span> <span class="ident">runs</span>[<span class="ident">n</span> <span class="op">-</span> <span class="number">1</span>].<span class="ident">len</span> {
                <span class="prelude-val">Some</span>(<span class="ident">n</span> <span class="op">-</span> <span class="number">3</span>)
            } <span class="kw">else</span> {
                <span class="prelude-val">Some</span>(<span class="ident">n</span> <span class="op">-</span> <span class="number">2</span>)
            }
        } <span class="kw">else</span> {
            <span class="prelude-val">None</span>
        }
    }

    <span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Clone</span>, <span class="ident">Copy</span>)]</span>
    <span class="kw">struct</span> <span class="ident">Run</span> {
        <span class="ident">start</span>: <span class="ident">usize</span>,
        <span class="ident">len</span>: <span class="ident">usize</span>,
    }
}
</pre>
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