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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 `libcore/cmp.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>cmp.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='../../core/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 2012-2014 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">//! Functionality for ordering and comparison.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! This module defines both [`PartialOrd`] and [`PartialEq`] traits which are used</span>
<span class="doccomment">//! by the compiler to implement comparison operators. Rust programs may</span>
<span class="doccomment">//! implement [`PartialOrd`] to overload the `&lt;`, `&lt;=`, `&gt;`, and `&gt;=` operators,</span>
<span class="doccomment">//! and may implement [`PartialEq`] to overload the `==` and `!=` operators.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! [`PartialOrd`]: trait.PartialOrd.html</span>
<span class="doccomment">//! [`PartialEq`]: trait.PartialEq.html</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! # Examples</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! ```</span>
<span class="doccomment">//! let x: u32 = 0;</span>
<span class="doccomment">//! let y: u32 = 1;</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! // these two lines are equivalent</span>
<span class="doccomment">//! assert_eq!(x &lt; y, true);</span>
<span class="doccomment">//! assert_eq!(x.lt(&amp;y), true);</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! // these two lines are also equivalent</span>
<span class="doccomment">//! assert_eq!(x == y, false);</span>
<span class="doccomment">//! assert_eq!(x.eq(&amp;y), false);</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">use</span> <span class="self">self</span>::<span class="ident">Ordering</span>::<span class="kw-2">*</span>;

<span class="doccomment">/// Trait for equality comparisons which are [partial equivalence</span>
<span class="doccomment">/// relations](http://en.wikipedia.org/wiki/Partial_equivalence_relation).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This trait allows for partial equality, for types that do not have a full</span>
<span class="doccomment">/// equivalence relation.  For example, in floating point numbers `NaN != NaN`,</span>
<span class="doccomment">/// so floating point types implement `PartialEq` but not `Eq`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Formally, the equality must be (for all `a`, `b` and `c`):</span>
<span class="doccomment">///</span>
<span class="doccomment">/// - symmetric: `a == b` implies `b == a`; and</span>
<span class="doccomment">/// - transitive: `a == b` and `b == c` implies `a == c`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that these requirements mean that the trait itself must be implemented</span>
<span class="doccomment">/// symmetrically and transitively: if `T: PartialEq&lt;U&gt;` and `U: PartialEq&lt;V&gt;`</span>
<span class="doccomment">/// then `U: PartialEq&lt;T&gt;` and `T: PartialEq&lt;V&gt;`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## Derivable</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This trait can be used with `#[derive]`. When `derive`d on structs, two</span>
<span class="doccomment">/// instances are equal if all fields are equal, and not equal if any fields</span>
<span class="doccomment">/// are not equal. When `derive`d on enums, each variant is equal to itself</span>
<span class="doccomment">/// and not equal to the other variants.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## How can I implement `PartialEq`?</span>
<span class="doccomment">///</span>
<span class="doccomment">/// PartialEq only requires the `eq` method to be implemented; `ne` is defined</span>
<span class="doccomment">/// in terms of it by default. Any manual implementation of `ne` *must* respect</span>
<span class="doccomment">/// the rule that `eq` is a strict inverse of `ne`; that is, `!(a == b)` if and</span>
<span class="doccomment">/// only if `a != b`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Implementations of `PartialEq`, `PartialOrd`, and `Ord` *must* agree with</span>
<span class="doccomment">/// each other. It&#39;s easy to accidentally make them disagree by deriving some</span>
<span class="doccomment">/// of the traits and manually implementing others.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// An example implementation for a domain in which two books are considered</span>
<span class="doccomment">/// the same book if their ISBN matches, even if the formats differ:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// enum BookFormat { Paperback, Hardback, Ebook }</span>
<span class="doccomment">/// struct Book {</span>
<span class="doccomment">///     isbn: i32,</span>
<span class="doccomment">///     format: BookFormat,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl PartialEq for Book {</span>
<span class="doccomment">///     fn eq(&amp;self, other: &amp;Book) -&gt; bool {</span>
<span class="doccomment">///         self.isbn == other.isbn</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let b1 = Book { isbn: 3, format: BookFormat::Paperback };</span>
<span class="doccomment">/// let b2 = Book { isbn: 3, format: BookFormat::Ebook };</span>
<span class="doccomment">/// let b3 = Book { isbn: 10, format: BookFormat::Paperback };</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(b1 == b2);</span>
<span class="doccomment">/// assert!(b1 != b3);</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x: u32 = 0;</span>
<span class="doccomment">/// let y: u32 = 1;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(x == y, false);</span>
<span class="doccomment">/// assert_eq!(x.eq(&amp;y), false);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">&quot;eq&quot;</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">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;==&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;!=&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span> <span class="op">=</span> <span class="string">&quot;can&#39;t compare `{Self}` with `{Rhs}`&quot;</span>]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="ident">Rhs</span>: <span class="question-mark">?</span><span class="ident">Sized</span> <span class="op">=</span> <span class="self">Self</span><span class="op">&gt;</span> {
    <span class="doccomment">/// This method tests for `self` and `other` values to be equal, and is used</span>
    <span class="doccomment">/// by `==`.</span>
    <span class="attribute">#[<span class="ident">must_use</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="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Rhs</span>) <span class="op">-&gt;</span> <span class="ident">bool</span>;

    <span class="doccomment">/// This method tests for `!=`.</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="attribute">#[<span class="ident">must_use</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="kw">fn</span> <span class="ident">ne</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Rhs</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="op">!</span><span class="self">self</span>.<span class="ident">eq</span>(<span class="ident">other</span>) }
}

<span class="doccomment">/// Trait for equality comparisons which are [equivalence relations](</span>
<span class="doccomment">/// https://en.wikipedia.org/wiki/Equivalence_relation).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This means, that in addition to `a == b` and `a != b` being strict inverses, the equality must</span>
<span class="doccomment">/// be (for all `a`, `b` and `c`):</span>
<span class="doccomment">///</span>
<span class="doccomment">/// - reflexive: `a == a`;</span>
<span class="doccomment">/// - symmetric: `a == b` implies `b == a`; and</span>
<span class="doccomment">/// - transitive: `a == b` and `b == c` implies `a == c`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This property cannot be checked by the compiler, and therefore `Eq` implies</span>
<span class="doccomment">/// `PartialEq`, and has no extra methods.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## Derivable</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This trait can be used with `#[derive]`. When `derive`d, because `Eq` has</span>
<span class="doccomment">/// no extra methods, it is only informing the compiler that this is an</span>
<span class="doccomment">/// equivalence relation rather than a partial equivalence relation. Note that</span>
<span class="doccomment">/// the `derive` strategy requires all fields are `Eq`, which isn&#39;t</span>
<span class="doccomment">/// always desired.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## How can I implement `Eq`?</span>
<span class="doccomment">///</span>
<span class="doccomment">/// If you cannot use the `derive` strategy, specify that your type implements</span>
<span class="doccomment">/// `Eq`, which has no methods:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// enum BookFormat { Paperback, Hardback, Ebook }</span>
<span class="doccomment">/// struct Book {</span>
<span class="doccomment">///     isbn: i32,</span>
<span class="doccomment">///     format: BookFormat,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// impl PartialEq for Book {</span>
<span class="doccomment">///     fn eq(&amp;self, other: &amp;Book) -&gt; bool {</span>
<span class="doccomment">///         self.isbn == other.isbn</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// impl Eq for Book {}</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;==&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;!=&quot;</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="kw">pub</span> <span class="kw">trait</span> <span class="ident">Eq</span>: <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="self">Self</span><span class="op">&gt;</span> {
    <span class="comment">// this method is used solely by #[deriving] to assert</span>
    <span class="comment">// that every component of a type implements #[deriving]</span>
    <span class="comment">// itself, the current deriving infrastructure means doing this</span>
    <span class="comment">// assertion without using a method on this trait is nearly</span>
    <span class="comment">// impossible.</span>
    <span class="comment">//</span>
    <span class="comment">// This should never be implemented by hand.</span>
    <span class="attribute">#[<span class="ident">doc</span>(<span class="ident">hidden</span>)]</span>
    <span class="attribute">#[<span class="ident">inline</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="kw">fn</span> <span class="ident">assert_receiver_is_total_eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) {}
}

<span class="comment">// FIXME: this struct is used solely by #[derive] to</span>
<span class="comment">// assert that every component of a type implements Eq.</span>
<span class="comment">//</span>
<span class="comment">// This struct should never appear in user code.</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">hidden</span>)]</span>
<span class="attribute">#[<span class="ident">allow</span>(<span class="ident">missing_debug_implementations</span>)]</span>
<span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;derive_eq&quot;</span>,
           <span class="ident">reason</span> <span class="op">=</span> <span class="string">&quot;deriving hack, should not be public&quot;</span>,
           <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">AssertParamIsEq</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="ident">Eq</span> <span class="op">+</span> <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> { <span class="ident">_field</span>: ::<span class="ident">marker</span>::<span class="ident">PhantomData</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> }

<span class="doccomment">/// An `Ordering` is the result of a comparison between two values.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::cmp::Ordering;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let result = 1.cmp(&amp;2);</span>
<span class="doccomment">/// assert_eq!(Ordering::Less, result);</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let result = 1.cmp(&amp;1);</span>
<span class="doccomment">/// assert_eq!(Ordering::Equal, result);</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let result = 2.cmp(&amp;1);</span>
<span class="doccomment">/// assert_eq!(Ordering::Greater, result);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Clone</span>, <span class="ident">Copy</span>, <span class="ident">PartialEq</span>, <span class="ident">Debug</span>, <span class="ident">Hash</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="kw">pub</span> <span class="kw">enum</span> <span class="ident">Ordering</span> {
    <span class="doccomment">/// An ordering where a compared value is less [than another].</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="ident">Less</span> <span class="op">=</span> <span class="op">-</span><span class="number">1</span>,
    <span class="doccomment">/// An ordering where a compared value is equal [to another].</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="ident">Equal</span> <span class="op">=</span> <span class="number">0</span>,
    <span class="doccomment">/// An ordering where a compared value is greater [than another].</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="ident">Greater</span> <span class="op">=</span> <span class="number">1</span>,
}

<span class="kw">impl</span> <span class="ident">Ordering</span> {
    <span class="doccomment">/// Reverses the `Ordering`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// * `Less` becomes `Greater`.</span>
    <span class="doccomment">/// * `Greater` becomes `Less`.</span>
    <span class="doccomment">/// * `Equal` becomes `Equal`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Basic behavior:</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use std::cmp::Ordering;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(Ordering::Less.reverse(), Ordering::Greater);</span>
    <span class="doccomment">/// assert_eq!(Ordering::Equal.reverse(), Ordering::Equal);</span>
    <span class="doccomment">/// assert_eq!(Ordering::Greater.reverse(), Ordering::Less);</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// This method can be used to reverse a comparison:</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let mut data: &amp;mut [_] = &amp;mut [2, 10, 5, 8];</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// // sort the array from largest to smallest.</span>
    <span class="doccomment">/// data.sort_by(|a, b| a.cmp(b).reverse());</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let b: &amp;mut [_] = &amp;mut [10, 8, 5, 2];</span>
    <span class="doccomment">/// assert!(data == b);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">inline</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="kw">pub</span> <span class="kw">fn</span> <span class="ident">reverse</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> {
        <span class="kw">match</span> <span class="self">self</span> {
            <span class="ident">Less</span> <span class="op">=&gt;</span> <span class="ident">Greater</span>,
            <span class="ident">Equal</span> <span class="op">=&gt;</span> <span class="ident">Equal</span>,
            <span class="ident">Greater</span> <span class="op">=&gt;</span> <span class="ident">Less</span>,
        }
    }

    <span class="doccomment">/// Chains two orderings.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Returns `self` when it&#39;s not `Equal`. Otherwise returns `other`.</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use std::cmp::Ordering;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = Ordering::Equal.then(Ordering::Less);</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Less);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = Ordering::Less.then(Ordering::Equal);</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Less);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = Ordering::Less.then(Ordering::Greater);</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Less);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = Ordering::Equal.then(Ordering::Equal);</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Equal);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x: (i64, i64, i64) = (1, 2, 7);</span>
    <span class="doccomment">/// let y: (i64, i64, i64) = (1, 5, 3);</span>
    <span class="doccomment">/// let result = x.0.cmp(&amp;y.0).then(x.1.cmp(&amp;y.1)).then(x.2.cmp(&amp;y.2));</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Less);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;ordering_chaining&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.17.0&quot;</span>)]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">then</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Ordering</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> {
        <span class="kw">match</span> <span class="self">self</span> {
            <span class="ident">Equal</span> <span class="op">=&gt;</span> <span class="ident">other</span>,
            <span class="kw">_</span> <span class="op">=&gt;</span> <span class="self">self</span>,
        }
    }

    <span class="doccomment">/// Chains the ordering with the given function.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Returns `self` when it&#39;s not `Equal`. Otherwise calls `f` and returns</span>
    <span class="doccomment">/// the result.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use std::cmp::Ordering;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = Ordering::Equal.then_with(|| Ordering::Less);</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Less);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = Ordering::Less.then_with(|| Ordering::Equal);</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Less);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = Ordering::Less.then_with(|| Ordering::Greater);</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Less);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = Ordering::Equal.then_with(|| Ordering::Equal);</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Equal);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x: (i64, i64, i64) = (1, 2, 7);</span>
    <span class="doccomment">/// let y: (i64, i64, i64)  = (1, 5, 3);</span>
    <span class="doccomment">/// let result = x.0.cmp(&amp;y.0).then_with(|| x.1.cmp(&amp;y.1)).then_with(|| x.2.cmp(&amp;y.2));</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(result, Ordering::Less);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;ordering_chaining&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.17.0&quot;</span>)]</span>
    <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">then_with</span><span class="op">&lt;</span><span class="ident">F</span>: <span class="ident">FnOnce</span>() <span class="op">-&gt;</span> <span class="ident">Ordering</span><span class="op">&gt;</span>(<span class="self">self</span>, <span class="ident">f</span>: <span class="ident">F</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> {
        <span class="kw">match</span> <span class="self">self</span> {
            <span class="ident">Equal</span> <span class="op">=&gt;</span> <span class="ident">f</span>(),
            <span class="kw">_</span> <span class="op">=&gt;</span> <span class="self">self</span>,
        }
    }
}

<span class="doccomment">/// A helper struct for reverse ordering.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This struct is a helper to be used with functions like `Vec::sort_by_key` and</span>
<span class="doccomment">/// can be used to reverse order a part of a key.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Example usage:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::cmp::Reverse;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let mut v = vec![1, 2, 3, 4, 5, 6];</span>
<span class="doccomment">/// v.sort_by_key(|&amp;num| (num &gt; 3, Reverse(num)));</span>
<span class="doccomment">/// assert_eq!(v, vec![3, 2, 1, 6, 5, 4]);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">PartialEq</span>, <span class="ident">Eq</span>, <span class="ident">Debug</span>, <span class="ident">Copy</span>, <span class="ident">Clone</span>, <span class="ident">Default</span>, <span class="ident">Hash</span>)]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;reverse_cmp_key&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.19.0&quot;</span>)]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">Reverse</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>(<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;reverse_cmp_key&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.19.0&quot;</span>)]</span> <span class="kw">pub</span> <span class="ident">T</span>);

<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;reverse_cmp_key&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.19.0&quot;</span>)]</span>
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="ident">PartialOrd</span><span class="op">&gt;</span> <span class="ident">PartialOrd</span> <span class="kw">for</span> <span class="ident">Reverse</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Reverse</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span> {
        <span class="ident">other</span>.<span class="number">0</span>.<span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>.<span class="number">0</span>)
    }

    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">fn</span> <span class="ident">lt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="self">Self</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">other</span>.<span class="number">0</span> <span class="op">&lt;</span> <span class="self">self</span>.<span class="number">0</span> }
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">fn</span> <span class="ident">le</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="self">Self</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">other</span>.<span class="number">0</span> <span class="op">&lt;=</span> <span class="self">self</span>.<span class="number">0</span> }
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">fn</span> <span class="ident">ge</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="self">Self</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">other</span>.<span class="number">0</span> <span class="op">&gt;=</span> <span class="self">self</span>.<span class="number">0</span> }
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">fn</span> <span class="ident">gt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="self">Self</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">other</span>.<span class="number">0</span> <span class="op">&gt;</span> <span class="self">self</span>.<span class="number">0</span> }
}

<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;reverse_cmp_key&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.19.0&quot;</span>)]</span>
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="ident">Ord</span><span class="op">&gt;</span> <span class="ident">Ord</span> <span class="kw">for</span> <span class="ident">Reverse</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span> {
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Reverse</span><span class="op">&lt;</span><span class="ident">T</span><span class="op">&gt;</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> {
        <span class="ident">other</span>.<span class="number">0</span>.<span class="ident">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>.<span class="number">0</span>)
    }
}

<span class="doccomment">/// Trait for types that form a [total order](https://en.wikipedia.org/wiki/Total_order).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// An order is a total order if it is (for all `a`, `b` and `c`):</span>
<span class="doccomment">///</span>
<span class="doccomment">/// - total and antisymmetric: exactly one of `a &lt; b`, `a == b` or `a &gt; b` is true; and</span>
<span class="doccomment">/// - transitive, `a &lt; b` and `b &lt; c` implies `a &lt; c`. The same must hold for both `==` and `&gt;`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## Derivable</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This trait can be used with `#[derive]`. When `derive`d on structs, it will produce a</span>
<span class="doccomment">/// lexicographic ordering based on the top-to-bottom declaration order of the struct&#39;s members.</span>
<span class="doccomment">/// When `derive`d on enums, variants are ordered by their top-to-bottom declaration order.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## How can I implement `Ord`?</span>
<span class="doccomment">///</span>
<span class="doccomment">/// `Ord` requires that the type also be `PartialOrd` and `Eq` (which requires `PartialEq`).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Then you must define an implementation for `cmp()`. You may find it useful to use</span>
<span class="doccomment">/// `cmp()` on your type&#39;s fields.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Implementations of `PartialEq`, `PartialOrd`, and `Ord` *must* agree with each other. It&#39;s</span>
<span class="doccomment">/// easy to accidentally make them disagree by deriving some of the traits and manually</span>
<span class="doccomment">/// implementing others.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Here&#39;s an example where you want to sort people by height only, disregarding `id`</span>
<span class="doccomment">/// and `name`:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::cmp::Ordering;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Eq)]</span>
<span class="doccomment">/// struct Person {</span>
<span class="doccomment">///     id: u32,</span>
<span class="doccomment">///     name: String,</span>
<span class="doccomment">///     height: u32,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Ord for Person {</span>
<span class="doccomment">///     fn cmp(&amp;self, other: &amp;Person) -&gt; Ordering {</span>
<span class="doccomment">///         self.height.cmp(&amp;other.height)</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl PartialOrd for Person {</span>
<span class="doccomment">///     fn partial_cmp(&amp;self, other: &amp;Person) -&gt; Option&lt;Ordering&gt; {</span>
<span class="doccomment">///         Some(self.cmp(other))</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl PartialEq for Person {</span>
<span class="doccomment">///     fn eq(&amp;self, other: &amp;Person) -&gt; bool {</span>
<span class="doccomment">///         self.height == other.height</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">&quot;ord&quot;</span>]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;&lt;&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;&gt;&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;&lt;=&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;&gt;=&quot;</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="kw">pub</span> <span class="kw">trait</span> <span class="ident">Ord</span>: <span class="ident">Eq</span> <span class="op">+</span> <span class="ident">PartialOrd</span><span class="op">&lt;</span><span class="self">Self</span><span class="op">&gt;</span> {
    <span class="doccomment">/// This method returns an `Ordering` between `self` and `other`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// By convention, `self.cmp(&amp;other)` returns the ordering matching the expression</span>
    <span class="doccomment">/// `self &lt;operator&gt; other` if true.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use std::cmp::Ordering;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(5.cmp(&amp;10), Ordering::Less);</span>
    <span class="doccomment">/// assert_eq!(10.cmp(&amp;5), Ordering::Greater);</span>
    <span class="doccomment">/// assert_eq!(5.cmp(&amp;5), Ordering::Equal);</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">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="self">Self</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span>;

    <span class="doccomment">/// Compares and returns the maximum of two values.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Returns the second argument if the comparison determines them to be equal.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// assert_eq!(2, 1.max(2));</span>
    <span class="doccomment">/// assert_eq!(2, 2.max(2));</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;ord_max_min&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.21.0&quot;</span>)]</span>
    <span class="kw">fn</span> <span class="ident">max</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>
    <span class="kw">where</span> <span class="self">Self</span>: <span class="ident">Sized</span> {
        <span class="kw">if</span> <span class="ident">other</span> <span class="op">&gt;=</span> <span class="self">self</span> { <span class="ident">other</span> } <span class="kw">else</span> { <span class="self">self</span> }
    }

    <span class="doccomment">/// Compares and returns the minimum of two values.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Returns the first argument if the comparison determines them to be equal.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// assert_eq!(1, 1.min(2));</span>
    <span class="doccomment">/// assert_eq!(2, 2.min(2));</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;ord_max_min&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.21.0&quot;</span>)]</span>
    <span class="kw">fn</span> <span class="ident">min</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>
    <span class="kw">where</span> <span class="self">Self</span>: <span class="ident">Sized</span> {
        <span class="kw">if</span> <span class="self">self</span> <span class="op">&lt;=</span> <span class="ident">other</span> { <span class="self">self</span> } <span class="kw">else</span> { <span class="ident">other</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="ident">Eq</span> <span class="kw">for</span> <span class="ident">Ordering</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="ident">Ord</span> <span class="kw">for</span> <span class="ident">Ordering</span> {
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Ordering</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> {
        (<span class="kw-2">*</span><span class="self">self</span> <span class="kw">as</span> <span class="ident">i32</span>).<span class="ident">cmp</span>(<span class="kw-2">&amp;</span>(<span class="kw-2">*</span><span class="ident">other</span> <span class="kw">as</span> <span class="ident">i32</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="ident">PartialOrd</span> <span class="kw">for</span> <span class="ident">Ordering</span> {
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Ordering</span>) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span> {
        (<span class="kw-2">*</span><span class="self">self</span> <span class="kw">as</span> <span class="ident">i32</span>).<span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span>(<span class="kw-2">*</span><span class="ident">other</span> <span class="kw">as</span> <span class="ident">i32</span>))
    }
}

<span class="doccomment">/// Trait for values that can be compared for a sort-order.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// The comparison must satisfy, for all `a`, `b` and `c`:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// - antisymmetry: if `a &lt; b` then `!(a &gt; b)`, as well as `a &gt; b` implying `!(a &lt; b)`; and</span>
<span class="doccomment">/// - transitivity: `a &lt; b` and `b &lt; c` implies `a &lt; c`. The same must hold for both `==` and `&gt;`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that these requirements mean that the trait itself must be implemented symmetrically and</span>
<span class="doccomment">/// transitively: if `T: PartialOrd&lt;U&gt;` and `U: PartialOrd&lt;V&gt;` then `U: PartialOrd&lt;T&gt;` and `T:</span>
<span class="doccomment">/// PartialOrd&lt;V&gt;`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## Derivable</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This trait can be used with `#[derive]`. When `derive`d on structs, it will produce a</span>
<span class="doccomment">/// lexicographic ordering based on the top-to-bottom declaration order of the struct&#39;s members.</span>
<span class="doccomment">/// When `derive`d on enums, variants are ordered by their top-to-bottom declaration order.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## How can I implement `PartialOrd`?</span>
<span class="doccomment">///</span>
<span class="doccomment">/// `PartialOrd` only requires implementation of the `partial_cmp` method, with the others</span>
<span class="doccomment">/// generated from default implementations.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// However it remains possible to implement the others separately for types which do not have a</span>
<span class="doccomment">/// total order. For example, for floating point numbers, `NaN &lt; 0 == false` and `NaN &gt;= 0 ==</span>
<span class="doccomment">/// false` (cf. IEEE 754-2008 section 5.11).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// `PartialOrd` requires your type to be `PartialEq`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Implementations of `PartialEq`, `PartialOrd`, and `Ord` *must* agree with each other. It&#39;s</span>
<span class="doccomment">/// easy to accidentally make them disagree by deriving some of the traits and manually</span>
<span class="doccomment">/// implementing others.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// If your type is `Ord`, you can implement `partial_cmp()` by using `cmp()`:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::cmp::Ordering;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Eq)]</span>
<span class="doccomment">/// struct Person {</span>
<span class="doccomment">///     id: u32,</span>
<span class="doccomment">///     name: String,</span>
<span class="doccomment">///     height: u32,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl PartialOrd for Person {</span>
<span class="doccomment">///     fn partial_cmp(&amp;self, other: &amp;Person) -&gt; Option&lt;Ordering&gt; {</span>
<span class="doccomment">///         Some(self.cmp(other))</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Ord for Person {</span>
<span class="doccomment">///     fn cmp(&amp;self, other: &amp;Person) -&gt; Ordering {</span>
<span class="doccomment">///         self.height.cmp(&amp;other.height)</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl PartialEq for Person {</span>
<span class="doccomment">///     fn eq(&amp;self, other: &amp;Person) -&gt; bool {</span>
<span class="doccomment">///         self.height == other.height</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// You may also find it useful to use `partial_cmp()` on your type&#39;s fields. Here</span>
<span class="doccomment">/// is an example of `Person` types who have a floating-point `height` field that</span>
<span class="doccomment">/// is the only field to be used for sorting:</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::cmp::Ordering;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// struct Person {</span>
<span class="doccomment">///     id: u32,</span>
<span class="doccomment">///     name: String,</span>
<span class="doccomment">///     height: f64,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl PartialOrd for Person {</span>
<span class="doccomment">///     fn partial_cmp(&amp;self, other: &amp;Person) -&gt; Option&lt;Ordering&gt; {</span>
<span class="doccomment">///         self.height.partial_cmp(&amp;other.height)</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl PartialEq for Person {</span>
<span class="doccomment">///     fn eq(&amp;self, other: &amp;Person) -&gt; bool {</span>
<span class="doccomment">///         self.height == other.height</span>
<span class="doccomment">///     }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x : u32 = 0;</span>
<span class="doccomment">/// let y : u32 = 1;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(x &lt; y, true);</span>
<span class="doccomment">/// assert_eq!(x.lt(&amp;y), true);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">&quot;partial_ord&quot;</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">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;&gt;&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;&lt;&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;&lt;=&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">&quot;&gt;=&quot;</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span> <span class="op">=</span> <span class="string">&quot;can&#39;t compare `{Self}` with `{Rhs}`&quot;</span>]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">PartialOrd</span><span class="op">&lt;</span><span class="ident">Rhs</span>: <span class="question-mark">?</span><span class="ident">Sized</span> <span class="op">=</span> <span class="self">Self</span><span class="op">&gt;</span>: <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="ident">Rhs</span><span class="op">&gt;</span> {
    <span class="doccomment">/// This method returns an ordering between `self` and `other` values if one exists.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use std::cmp::Ordering;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = 1.0.partial_cmp(&amp;2.0);</span>
    <span class="doccomment">/// assert_eq!(result, Some(Ordering::Less));</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = 1.0.partial_cmp(&amp;1.0);</span>
    <span class="doccomment">/// assert_eq!(result, Some(Ordering::Equal));</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = 2.0.partial_cmp(&amp;1.0);</span>
    <span class="doccomment">/// assert_eq!(result, Some(Ordering::Greater));</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// When comparison is impossible:</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let result = std::f64::NAN.partial_cmp(&amp;1.0);</span>
    <span class="doccomment">/// assert_eq!(result, None);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">must_use</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="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Rhs</span>) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span>;

    <span class="doccomment">/// This method tests less than (for `self` and `other`) and is used by the `&lt;` operator.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let result = 1.0 &lt; 2.0;</span>
    <span class="doccomment">/// assert_eq!(result, true);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = 2.0 &lt; 1.0;</span>
    <span class="doccomment">/// assert_eq!(result, false);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="attribute">#[<span class="ident">must_use</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="kw">fn</span> <span class="ident">lt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Rhs</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> {
        <span class="kw">match</span> <span class="self">self</span>.<span class="ident">partial_cmp</span>(<span class="ident">other</span>) {
            <span class="prelude-val">Some</span>(<span class="ident">Less</span>) <span class="op">=&gt;</span> <span class="bool-val">true</span>,
            <span class="kw">_</span> <span class="op">=&gt;</span> <span class="bool-val">false</span>,
        }
    }

    <span class="doccomment">/// This method tests less than or equal to (for `self` and `other`) and is used by the `&lt;=`</span>
    <span class="doccomment">/// operator.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let result = 1.0 &lt;= 2.0;</span>
    <span class="doccomment">/// assert_eq!(result, true);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = 2.0 &lt;= 2.0;</span>
    <span class="doccomment">/// assert_eq!(result, true);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="attribute">#[<span class="ident">must_use</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="kw">fn</span> <span class="ident">le</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Rhs</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> {
        <span class="kw">match</span> <span class="self">self</span>.<span class="ident">partial_cmp</span>(<span class="ident">other</span>) {
            <span class="prelude-val">Some</span>(<span class="ident">Less</span>) <span class="op">|</span> <span class="prelude-val">Some</span>(<span class="ident">Equal</span>) <span class="op">=&gt;</span> <span class="bool-val">true</span>,
            <span class="kw">_</span> <span class="op">=&gt;</span> <span class="bool-val">false</span>,
        }
    }

    <span class="doccomment">/// This method tests greater than (for `self` and `other`) and is used by the `&gt;` operator.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let result = 1.0 &gt; 2.0;</span>
    <span class="doccomment">/// assert_eq!(result, false);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = 2.0 &gt; 2.0;</span>
    <span class="doccomment">/// assert_eq!(result, false);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="attribute">#[<span class="ident">must_use</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="kw">fn</span> <span class="ident">gt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Rhs</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> {
        <span class="kw">match</span> <span class="self">self</span>.<span class="ident">partial_cmp</span>(<span class="ident">other</span>) {
            <span class="prelude-val">Some</span>(<span class="ident">Greater</span>) <span class="op">=&gt;</span> <span class="bool-val">true</span>,
            <span class="kw">_</span> <span class="op">=&gt;</span> <span class="bool-val">false</span>,
        }
    }

    <span class="doccomment">/// This method tests greater than or equal to (for `self` and `other`) and is used by the `&gt;=`</span>
    <span class="doccomment">/// operator.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Examples</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// let result = 2.0 &gt;= 1.0;</span>
    <span class="doccomment">/// assert_eq!(result, true);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let result = 2.0 &gt;= 2.0;</span>
    <span class="doccomment">/// assert_eq!(result, true);</span>
    <span class="doccomment">/// ```</span>
    <span class="attribute">#[<span class="ident">inline</span>]</span>
    <span class="attribute">#[<span class="ident">must_use</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="kw">fn</span> <span class="ident">ge</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">Rhs</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> {
        <span class="kw">match</span> <span class="self">self</span>.<span class="ident">partial_cmp</span>(<span class="ident">other</span>) {
            <span class="prelude-val">Some</span>(<span class="ident">Greater</span>) <span class="op">|</span> <span class="prelude-val">Some</span>(<span class="ident">Equal</span>) <span class="op">=&gt;</span> <span class="bool-val">true</span>,
            <span class="kw">_</span> <span class="op">=&gt;</span> <span class="bool-val">false</span>,
        }
    }
}

<span class="doccomment">/// Compares and returns the minimum of two values.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Returns the first argument if the comparison determines them to be equal.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Internally uses an alias to `Ord::min`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::cmp;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(1, cmp::min(1, 2));</span>
<span class="doccomment">/// assert_eq!(2, cmp::min(2, 2));</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">inline</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="kw">pub</span> <span class="kw">fn</span> <span class="ident">min</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="ident">Ord</span><span class="op">&gt;</span>(<span class="ident">v1</span>: <span class="ident">T</span>, <span class="ident">v2</span>: <span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">T</span> {
    <span class="ident">v1</span>.<span class="ident">min</span>(<span class="ident">v2</span>)
}

<span class="doccomment">/// Compares and returns the maximum of two values.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Returns the second argument if the comparison determines them to be equal.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Internally uses an alias to `Ord::max`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::cmp;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(2, cmp::max(1, 2));</span>
<span class="doccomment">/// assert_eq!(2, cmp::max(2, 2));</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">inline</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="kw">pub</span> <span class="kw">fn</span> <span class="ident">max</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="ident">Ord</span><span class="op">&gt;</span>(<span class="ident">v1</span>: <span class="ident">T</span>, <span class="ident">v2</span>: <span class="ident">T</span>) <span class="op">-&gt;</span> <span class="ident">T</span> {
    <span class="ident">v1</span>.<span class="ident">max</span>(<span class="ident">v2</span>)
}

<span class="comment">// Implementation of PartialEq, Eq, PartialOrd and Ord for primitive types</span>
<span class="kw">mod</span> <span class="ident">impls</span> {
    <span class="kw">use</span> <span class="ident">cmp</span>::<span class="ident">Ordering</span>::{<span class="self">self</span>, <span class="ident">Less</span>, <span class="ident">Greater</span>, <span class="ident">Equal</span>};

    <span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">partial_eq_impl</span> {
        ($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) <span class="op">=&gt;</span> ($(
            <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
            <span class="kw">impl</span> <span class="ident">PartialEq</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">==</span> (<span class="kw-2">*</span><span class="ident">other</span>) }
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">ne</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">!=</span> (<span class="kw-2">*</span><span class="ident">other</span>) }
            }
        )<span class="kw-2">*</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="ident">PartialEq</span> <span class="kw">for</span> () {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">_other</span>: <span class="kw-2">&amp;</span>()) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="bool-val">true</span> }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">ne</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">_other</span>: <span class="kw-2">&amp;</span>()) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="bool-val">false</span> }
    }

    <span class="macro">partial_eq_impl</span><span class="macro">!</span> {
        <span class="ident">bool</span> <span class="ident">char</span> <span class="ident">usize</span> <span class="ident">u8</span> <span class="ident">u16</span> <span class="ident">u32</span> <span class="ident">u64</span> <span class="ident">u128</span> <span class="ident">isize</span> <span class="ident">i8</span> <span class="ident">i16</span> <span class="ident">i32</span> <span class="ident">i64</span> <span class="ident">i128</span> <span class="ident">f32</span> <span class="ident">f64</span>
    }

    <span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">eq_impl</span> {
        ($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) <span class="op">=&gt;</span> ($(
            <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
            <span class="kw">impl</span> <span class="ident">Eq</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {}
        )<span class="kw-2">*</span>)
    }

    <span class="macro">eq_impl</span><span class="macro">!</span> { () <span class="ident">bool</span> <span class="ident">char</span> <span class="ident">usize</span> <span class="ident">u8</span> <span class="ident">u16</span> <span class="ident">u32</span> <span class="ident">u64</span> <span class="ident">u128</span> <span class="ident">isize</span> <span class="ident">i8</span> <span class="ident">i16</span> <span class="ident">i32</span> <span class="ident">i64</span> <span class="ident">i128</span> }

    <span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">partial_ord_impl</span> {
        ($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) <span class="op">=&gt;</span> ($(
            <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
            <span class="kw">impl</span> <span class="ident">PartialOrd</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span> {
                    <span class="kw">match</span> (<span class="self">self</span> <span class="op">&lt;=</span> <span class="ident">other</span>, <span class="self">self</span> <span class="op">&gt;=</span> <span class="ident">other</span>) {
                        (<span class="bool-val">false</span>, <span class="bool-val">false</span>) <span class="op">=&gt;</span> <span class="prelude-val">None</span>,
                        (<span class="bool-val">false</span>, <span class="bool-val">true</span>) <span class="op">=&gt;</span> <span class="prelude-val">Some</span>(<span class="ident">Greater</span>),
                        (<span class="bool-val">true</span>, <span class="bool-val">false</span>) <span class="op">=&gt;</span> <span class="prelude-val">Some</span>(<span class="ident">Less</span>),
                        (<span class="bool-val">true</span>, <span class="bool-val">true</span>) <span class="op">=&gt;</span> <span class="prelude-val">Some</span>(<span class="ident">Equal</span>),
                    }
                }
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">lt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">&lt;</span> (<span class="kw-2">*</span><span class="ident">other</span>) }
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">le</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">&lt;=</span> (<span class="kw-2">*</span><span class="ident">other</span>) }
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">ge</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">&gt;=</span> (<span class="kw-2">*</span><span class="ident">other</span>) }
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">gt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">&gt;</span> (<span class="kw-2">*</span><span class="ident">other</span>) }
            }
        )<span class="kw-2">*</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="ident">PartialOrd</span> <span class="kw">for</span> () {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="kw">_</span>: <span class="kw-2">&amp;</span>()) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span> {
            <span class="prelude-val">Some</span>(<span class="ident">Equal</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="ident">PartialOrd</span> <span class="kw">for</span> <span class="ident">bool</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">bool</span>) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span> {
            (<span class="kw-2">*</span><span class="self">self</span> <span class="kw">as</span> <span class="ident">u8</span>).<span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span>(<span class="kw-2">*</span><span class="ident">other</span> <span class="kw">as</span> <span class="ident">u8</span>))
        }
    }

    <span class="macro">partial_ord_impl</span><span class="macro">!</span> { <span class="ident">f32</span> <span class="ident">f64</span> }

    <span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">ord_impl</span> {
        ($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) <span class="op">=&gt;</span> ($(
            <span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;rust1&quot;</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">&quot;1.0.0&quot;</span>)]</span>
            <span class="kw">impl</span> <span class="ident">PartialOrd</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span> {
                    <span class="prelude-val">Some</span>(<span class="self">self</span>.<span class="ident">cmp</span>(<span class="ident">other</span>))
                }
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">lt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">&lt;</span> (<span class="kw-2">*</span><span class="ident">other</span>) }
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">le</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">&lt;=</span> (<span class="kw-2">*</span><span class="ident">other</span>) }
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">ge</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">&gt;=</span> (<span class="kw-2">*</span><span class="ident">other</span>) }
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">gt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { (<span class="kw-2">*</span><span class="self">self</span>) <span class="op">&gt;</span> (<span class="kw-2">*</span><span class="ident">other</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="ident">Ord</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
                <span class="attribute">#[<span class="ident">inline</span>]</span>
                <span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> {
                    <span class="kw">if</span> <span class="kw-2">*</span><span class="self">self</span> <span class="op">==</span> <span class="kw-2">*</span><span class="ident">other</span> { <span class="ident">Equal</span> }
                    <span class="kw">else</span> <span class="kw">if</span> <span class="kw-2">*</span><span class="self">self</span> <span class="op">&lt;</span> <span class="kw-2">*</span><span class="ident">other</span> { <span class="ident">Less</span> }
                    <span class="kw">else</span> { <span class="ident">Greater</span> }
                }
            }
        )<span class="kw-2">*</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="ident">Ord</span> <span class="kw">for</span> () {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">_other</span>: <span class="kw-2">&amp;</span>()) <span class="op">-&gt;</span> <span class="ident">Ordering</span> { <span class="ident">Equal</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="ident">Ord</span> <span class="kw">for</span> <span class="ident">bool</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&amp;</span><span class="ident">bool</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> {
            (<span class="kw-2">*</span><span class="self">self</span> <span class="kw">as</span> <span class="ident">u8</span>).<span class="ident">cmp</span>(<span class="kw-2">&amp;</span>(<span class="kw-2">*</span><span class="ident">other</span> <span class="kw">as</span> <span class="ident">u8</span>))
        }
    }

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

    <span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;never_type&quot;</span>, <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;35121&quot;</span>)]</span>
    <span class="kw">impl</span> <span class="ident">PartialEq</span> <span class="kw">for</span> <span class="op">!</span> {
        <span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="kw">_</span>: <span class="kw-2">&amp;</span><span class="op">!</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> {
            <span class="kw-2">*</span><span class="self">self</span>
        }
    }

    <span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;never_type&quot;</span>, <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;35121&quot;</span>)]</span>
    <span class="kw">impl</span> <span class="ident">Eq</span> <span class="kw">for</span> <span class="op">!</span> {}

    <span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;never_type&quot;</span>, <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;35121&quot;</span>)]</span>
    <span class="kw">impl</span> <span class="ident">PartialOrd</span> <span class="kw">for</span> <span class="op">!</span> {
        <span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="kw">_</span>: <span class="kw-2">&amp;</span><span class="op">!</span>) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span> {
            <span class="kw-2">*</span><span class="self">self</span>
        }
    }

    <span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">&quot;never_type&quot;</span>, <span class="ident">issue</span> <span class="op">=</span> <span class="string">&quot;35121&quot;</span>)]</span>
    <span class="kw">impl</span> <span class="ident">Ord</span> <span class="kw">for</span> <span class="op">!</span> {
        <span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="kw">_</span>: <span class="kw-2">&amp;</span><span class="op">!</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> {
            <span class="kw-2">*</span><span class="self">self</span>
        }
    }

    <span class="comment">// &amp; pointers</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="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span>, <span class="ident">B</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="ident">B</span><span class="op">&gt;</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialEq</span>::<span class="ident">eq</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">ne</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialEq</span>::<span class="ident">ne</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</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="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span>, <span class="ident">B</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">PartialOrd</span><span class="op">&lt;</span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">PartialOrd</span><span class="op">&lt;</span><span class="ident">B</span><span class="op">&gt;</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span> {
            <span class="ident">PartialOrd</span>::<span class="ident">partial_cmp</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>)
        }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">lt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialOrd</span>::<span class="ident">lt</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">le</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialOrd</span>::<span class="ident">le</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">ge</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialOrd</span>::<span class="ident">ge</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">gt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialOrd</span>::<span class="ident">gt</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</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="lifetime">&#39;a</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">Ord</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">Ord</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="ident">A</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> { <span class="ident">Ord</span>::<span class="ident">cmp</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</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="lifetime">&#39;a</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">Eq</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">Eq</span> {}

    <span class="comment">// &amp;mut pointers</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="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span>, <span class="ident">B</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="kw-2">mut</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="ident">B</span><span class="op">&gt;</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialEq</span>::<span class="ident">eq</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">ne</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialEq</span>::<span class="ident">ne</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</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="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span>, <span class="ident">B</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">PartialOrd</span><span class="op">&lt;</span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="kw-2">mut</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">PartialOrd</span><span class="op">&lt;</span><span class="ident">B</span><span class="op">&gt;</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">Ordering</span><span class="op">&gt;</span> {
            <span class="ident">PartialOrd</span>::<span class="ident">partial_cmp</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>)
        }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">lt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialOrd</span>::<span class="ident">lt</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">le</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialOrd</span>::<span class="ident">le</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">ge</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialOrd</span>::<span class="ident">ge</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">gt</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialOrd</span>::<span class="ident">gt</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</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="lifetime">&#39;a</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">Ord</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="kw-2">mut</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">Ord</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;a</span> <span class="kw-2">mut</span> <span class="ident">A</span>) <span class="op">-&gt;</span> <span class="ident">Ordering</span> { <span class="ident">Ord</span>::<span class="ident">cmp</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</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="lifetime">&#39;a</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">Eq</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="kw-2">mut</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">Eq</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="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span>, <span class="ident">B</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="ident">B</span><span class="op">&gt;</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialEq</span>::<span class="ident">eq</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">ne</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="kw-2">mut</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialEq</span>::<span class="ident">ne</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</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="lifetime">&#39;a</span>, <span class="lifetime">&#39;b</span>, <span class="ident">A</span>: <span class="question-mark">?</span><span class="ident">Sized</span>, <span class="ident">B</span>: <span class="question-mark">?</span><span class="ident">Sized</span><span class="op">&gt;</span> <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="kw-2">&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="kw-2">&amp;</span><span class="lifetime">&#39;a</span> <span class="kw-2">mut</span> <span class="ident">A</span> <span class="kw">where</span> <span class="ident">A</span>: <span class="ident">PartialEq</span><span class="op">&lt;</span><span class="ident">B</span><span class="op">&gt;</span> {
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialEq</span>::<span class="ident">eq</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
        <span class="attribute">#[<span class="ident">inline</span>]</span>
        <span class="kw">fn</span> <span class="ident">ne</span>(<span class="kw-2">&amp;</span><span class="self">self</span>, <span class="ident">other</span>: <span class="op">&amp;&amp;</span><span class="lifetime">&#39;b</span> <span class="ident">B</span>) <span class="op">-&gt;</span> <span class="ident">bool</span> { <span class="ident">PartialEq</span>::<span class="ident">ne</span>(<span class="kw-2">*</span><span class="self">self</span>, <span class="kw-2">*</span><span class="ident">other</span>) }
    }
}
</pre>
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