<!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/ops/arith.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>arith.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">☰</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 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 <LICENSE-APACHE or</span>
<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license</span>
<span class="comment">// <LICENSE-MIT or http://opensource.org/licenses/MIT>, 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">/// The addition operator `+`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that `RHS` is `Self` by default, but this is not mandatory. For</span>
<span class="doccomment">/// example, [`std::time::SystemTime`] implements `Add<Duration>`, which permits</span>
<span class="doccomment">/// operations of the form `SystemTime = SystemTime + Duration`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// [`std::time::SystemTime`]: ../../std/time/struct.SystemTime.html</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## `Add`able points</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Add;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Point {</span>
<span class="doccomment">/// x: i32,</span>
<span class="doccomment">/// y: i32,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Add for Point {</span>
<span class="doccomment">/// type Output = Point;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn add(self, other: Point) -> Point {</span>
<span class="doccomment">/// Point {</span>
<span class="doccomment">/// x: self.x + other.x,</span>
<span class="doccomment">/// y: self.y + other.y,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(Point { x: 1, y: 0 } + Point { x: 2, y: 3 },</span>
<span class="doccomment">/// Point { x: 3, y: 3 });</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## Implementing `Add` with generics</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Here is an example of the same `Point` struct implementing the `Add` trait</span>
<span class="doccomment">/// using generics.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Add;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Point<T> {</span>
<span class="doccomment">/// x: T,</span>
<span class="doccomment">/// y: T,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // Notice that the implementation uses the associated type `Output`.</span>
<span class="doccomment">/// impl<T: Add<Output=T>> Add for Point<T> {</span>
<span class="doccomment">/// type Output = Point<T>;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn add(self, other: Point<T>) -> Point<T> {</span>
<span class="doccomment">/// Point {</span>
<span class="doccomment">/// x: self.x + other.x,</span>
<span class="doccomment">/// y: self.y + other.y,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(Point { x: 1, y: 0 } + Point { x: 2, y: 3 },</span>
<span class="doccomment">/// Point { x: 3, y: 3 });</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"add"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(
<span class="ident">on</span>(
<span class="ident">all</span>(<span class="ident">_Self</span><span class="op">=</span><span class="string">"{integer}"</span>, <span class="ident">RHS</span><span class="op">=</span><span class="string">"{float}"</span>),
<span class="ident">message</span><span class="op">=</span><span class="string">"cannot add a float to an integer"</span>,
),
<span class="ident">on</span>(
<span class="ident">all</span>(<span class="ident">_Self</span><span class="op">=</span><span class="string">"{float}"</span>, <span class="ident">RHS</span><span class="op">=</span><span class="string">"{integer}"</span>),
<span class="ident">message</span><span class="op">=</span><span class="string">"cannot add an integer to a float"</span>,
),
<span class="ident">message</span><span class="op">=</span><span class="string">"cannot add `{RHS}` to `{Self}`"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} + {RHS}`"</span>,
)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"+"</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Add</span><span class="op"><</span><span class="ident">RHS</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// The resulting type after applying the `+` operator.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">type</span> <span class="ident">Output</span>;
<span class="doccomment">/// Performs the `+` operation.</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">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">add</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">RHS</span>) <span class="op">-></span> <span class="self">Self</span>::<span class="ident">Output</span>;
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">add_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">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Add</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="attribute">#[<span class="ident">rustc_inherit_overflow_checks</span>]</span>
<span class="kw">fn</span> <span class="ident">add</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { <span class="self">self</span> <span class="op">+</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_binop</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">Add</span>, <span class="ident">add</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="kw-2">*</span>)
}
<span class="macro">add_impl</span><span class="macro">!</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="doccomment">/// The subtraction operator `-`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that `RHS` is `Self` by default, but this is not mandatory. For</span>
<span class="doccomment">/// example, [`std::time::SystemTime`] implements `Sub<Duration>`, which permits</span>
<span class="doccomment">/// operations of the form `SystemTime = SystemTime - Duration`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// [`std::time::SystemTime`]: ../../std/time/struct.SystemTime.html</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## `Sub`tractable points</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Sub;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Point {</span>
<span class="doccomment">/// x: i32,</span>
<span class="doccomment">/// y: i32,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Sub for Point {</span>
<span class="doccomment">/// type Output = Point;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn sub(self, other: Point) -> Point {</span>
<span class="doccomment">/// Point {</span>
<span class="doccomment">/// x: self.x - other.x,</span>
<span class="doccomment">/// y: self.y - other.y,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(Point { x: 3, y: 3 } - Point { x: 2, y: 3 },</span>
<span class="doccomment">/// Point { x: 1, y: 0 });</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## Implementing `Sub` with generics</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Here is an example of the same `Point` struct implementing the `Sub` trait</span>
<span class="doccomment">/// using generics.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Sub;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Point<T> {</span>
<span class="doccomment">/// x: T,</span>
<span class="doccomment">/// y: T,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // Notice that the implementation uses the associated type `Output`.</span>
<span class="doccomment">/// impl<T: Sub<Output=T>> Sub for Point<T> {</span>
<span class="doccomment">/// type Output = Point<T>;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn sub(self, other: Point<T>) -> Point<T> {</span>
<span class="doccomment">/// Point {</span>
<span class="doccomment">/// x: self.x - other.x,</span>
<span class="doccomment">/// y: self.y - other.y,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(Point { x: 2, y: 3 } - Point { x: 1, y: 0 },</span>
<span class="doccomment">/// Point { x: 1, y: 3 });</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"sub"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(<span class="ident">message</span><span class="op">=</span><span class="string">"cannot subtract `{RHS}` from `{Self}`"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} - {RHS}`"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"-"</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Sub</span><span class="op"><</span><span class="ident">RHS</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// The resulting type after applying the `-` operator.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">type</span> <span class="ident">Output</span>;
<span class="doccomment">/// Performs the `-` operation.</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">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">sub</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">RHS</span>) <span class="op">-></span> <span class="self">Self</span>::<span class="ident">Output</span>;
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">sub_impl</span> {
($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) <span class="op">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Sub</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="attribute">#[<span class="ident">rustc_inherit_overflow_checks</span>]</span>
<span class="kw">fn</span> <span class="ident">sub</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { <span class="self">self</span> <span class="op">-</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_binop</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">Sub</span>, <span class="ident">sub</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="kw-2">*</span>)
}
<span class="macro">sub_impl</span><span class="macro">!</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="doccomment">/// The multiplication operator `*`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that `RHS` is `Self` by default, but this is not mandatory.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## `Mul`tipliable rational numbers</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Mul;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // By the fundamental theorem of arithmetic, rational numbers in lowest</span>
<span class="doccomment">/// // terms are unique. So, by keeping `Rational`s in reduced form, we can</span>
<span class="doccomment">/// // derive `Eq` and `PartialEq`.</span>
<span class="doccomment">/// #[derive(Debug, Eq, PartialEq)]</span>
<span class="doccomment">/// struct Rational {</span>
<span class="doccomment">/// nominator: usize,</span>
<span class="doccomment">/// denominator: usize,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Rational {</span>
<span class="doccomment">/// fn new(nominator: usize, denominator: usize) -> Self {</span>
<span class="doccomment">/// if denominator == 0 {</span>
<span class="doccomment">/// panic!("Zero is an invalid denominator!");</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // Reduce to lowest terms by dividing by the greatest common</span>
<span class="doccomment">/// // divisor.</span>
<span class="doccomment">/// let gcd = gcd(nominator, denominator);</span>
<span class="doccomment">/// Rational {</span>
<span class="doccomment">/// nominator: nominator / gcd,</span>
<span class="doccomment">/// denominator: denominator / gcd,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Mul for Rational {</span>
<span class="doccomment">/// // The multiplication of rational numbers is a closed operation.</span>
<span class="doccomment">/// type Output = Self;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn mul(self, rhs: Self) -> Self {</span>
<span class="doccomment">/// let nominator = self.nominator * rhs.nominator;</span>
<span class="doccomment">/// let denominator = self.denominator * rhs.denominator;</span>
<span class="doccomment">/// Rational::new(nominator, denominator)</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // Euclid's two-thousand-year-old algorithm for finding the greatest common</span>
<span class="doccomment">/// // divisor.</span>
<span class="doccomment">/// fn gcd(x: usize, y: usize) -> usize {</span>
<span class="doccomment">/// let mut x = x;</span>
<span class="doccomment">/// let mut y = y;</span>
<span class="doccomment">/// while y != 0 {</span>
<span class="doccomment">/// let t = y;</span>
<span class="doccomment">/// y = x % y;</span>
<span class="doccomment">/// x = t;</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// x</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(Rational::new(1, 2), Rational::new(2, 4));</span>
<span class="doccomment">/// assert_eq!(Rational::new(2, 3) * Rational::new(3, 4),</span>
<span class="doccomment">/// Rational::new(1, 2));</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## Multiplying vectors by scalars as in linear algebra</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Mul;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// struct Scalar { value: usize }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Vector { value: Vec<usize> }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Mul<Scalar> for Vector {</span>
<span class="doccomment">/// type Output = Vector;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn mul(self, rhs: Scalar) -> Vector {</span>
<span class="doccomment">/// Vector { value: self.value.iter().map(|v| v * rhs.value).collect() }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let vector = Vector { value: vec![2, 4, 6] };</span>
<span class="doccomment">/// let scalar = Scalar { value: 3 };</span>
<span class="doccomment">/// assert_eq!(vector * scalar, Vector { value: vec![6, 12, 18] });</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"mul"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(<span class="ident">message</span><span class="op">=</span><span class="string">"cannot multiply `{RHS}` to `{Self}`"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} * {RHS}`"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"*"</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Mul</span><span class="op"><</span><span class="ident">RHS</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// The resulting type after applying the `*` operator.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">type</span> <span class="ident">Output</span>;
<span class="doccomment">/// Performs the `*` operation.</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">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">mul</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">RHS</span>) <span class="op">-></span> <span class="self">Self</span>::<span class="ident">Output</span>;
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">mul_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">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Mul</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="attribute">#[<span class="ident">rustc_inherit_overflow_checks</span>]</span>
<span class="kw">fn</span> <span class="ident">mul</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { <span class="self">self</span> <span class="op">*</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_binop</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">Mul</span>, <span class="ident">mul</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="kw-2">*</span>)
}
<span class="macro">mul_impl</span><span class="macro">!</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="doccomment">/// The division operator `/`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that `RHS` is `Self` by default, but this is not mandatory.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## `Div`idable rational numbers</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Div;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // By the fundamental theorem of arithmetic, rational numbers in lowest</span>
<span class="doccomment">/// // terms are unique. So, by keeping `Rational`s in reduced form, we can</span>
<span class="doccomment">/// // derive `Eq` and `PartialEq`.</span>
<span class="doccomment">/// #[derive(Debug, Eq, PartialEq)]</span>
<span class="doccomment">/// struct Rational {</span>
<span class="doccomment">/// nominator: usize,</span>
<span class="doccomment">/// denominator: usize,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Rational {</span>
<span class="doccomment">/// fn new(nominator: usize, denominator: usize) -> Self {</span>
<span class="doccomment">/// if denominator == 0 {</span>
<span class="doccomment">/// panic!("Zero is an invalid denominator!");</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // Reduce to lowest terms by dividing by the greatest common</span>
<span class="doccomment">/// // divisor.</span>
<span class="doccomment">/// let gcd = gcd(nominator, denominator);</span>
<span class="doccomment">/// Rational {</span>
<span class="doccomment">/// nominator: nominator / gcd,</span>
<span class="doccomment">/// denominator: denominator / gcd,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Div for Rational {</span>
<span class="doccomment">/// // The division of rational numbers is a closed operation.</span>
<span class="doccomment">/// type Output = Self;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn div(self, rhs: Self) -> Self {</span>
<span class="doccomment">/// if rhs.nominator == 0 {</span>
<span class="doccomment">/// panic!("Cannot divide by zero-valued `Rational`!");</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let nominator = self.nominator * rhs.denominator;</span>
<span class="doccomment">/// let denominator = self.denominator * rhs.nominator;</span>
<span class="doccomment">/// Rational::new(nominator, denominator)</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // Euclid's two-thousand-year-old algorithm for finding the greatest common</span>
<span class="doccomment">/// // divisor.</span>
<span class="doccomment">/// fn gcd(x: usize, y: usize) -> usize {</span>
<span class="doccomment">/// let mut x = x;</span>
<span class="doccomment">/// let mut y = y;</span>
<span class="doccomment">/// while y != 0 {</span>
<span class="doccomment">/// let t = y;</span>
<span class="doccomment">/// y = x % y;</span>
<span class="doccomment">/// x = t;</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// x</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(Rational::new(1, 2), Rational::new(2, 4));</span>
<span class="doccomment">/// assert_eq!(Rational::new(1, 2) / Rational::new(3, 4),</span>
<span class="doccomment">/// Rational::new(2, 3));</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ## Dividing vectors by scalars as in linear algebra</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Div;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// struct Scalar { value: f32 }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Vector { value: Vec<f32> }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Div<Scalar> for Vector {</span>
<span class="doccomment">/// type Output = Vector;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn div(self, rhs: Scalar) -> Vector {</span>
<span class="doccomment">/// Vector { value: self.value.iter().map(|v| v / rhs.value).collect() }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let scalar = Scalar { value: 2f32 };</span>
<span class="doccomment">/// let vector = Vector { value: vec![2f32, 4f32, 6f32] };</span>
<span class="doccomment">/// assert_eq!(vector / scalar, Vector { value: vec![1f32, 2f32, 3f32] });</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"div"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(<span class="ident">message</span><span class="op">=</span><span class="string">"cannot divide `{Self}` by `{RHS}`"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} / {RHS}`"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"/"</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Div</span><span class="op"><</span><span class="ident">RHS</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// The resulting type after applying the `/` operator.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">type</span> <span class="ident">Output</span>;
<span class="doccomment">/// Performs the `/` operation.</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">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">RHS</span>) <span class="op">-></span> <span class="self">Self</span>::<span class="ident">Output</span>;
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">div_impl_integer</span> {
($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) <span class="op">=></span> ($(
<span class="doccomment">/// This operation rounds towards zero, truncating any</span>
<span class="doccomment">/// fractional part of the exact result.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Div</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { <span class="self">self</span> <span class="op">/</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_binop</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">Div</span>, <span class="ident">div</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="kw-2">*</span>)
}
<span class="macro">div_impl_integer</span><span class="macro">!</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">div_impl_float</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">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Div</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { <span class="self">self</span> <span class="op">/</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_binop</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">Div</span>, <span class="ident">div</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="kw-2">*</span>)
}
<span class="macro">div_impl_float</span><span class="macro">!</span> { <span class="ident">f32</span> <span class="ident">f64</span> }
<span class="doccomment">/// The remainder operator `%`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that `RHS` is `Self` by default, but this is not mandatory.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This example implements `Rem` on a `SplitSlice` object. After `Rem` is</span>
<span class="doccomment">/// implemented, one can use the `%` operator to find out what the remaining</span>
<span class="doccomment">/// elements of the slice would be after splitting it into equal slices of a</span>
<span class="doccomment">/// given length.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Rem;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(PartialEq, Debug)]</span>
<span class="doccomment">/// struct SplitSlice<'a, T: 'a> {</span>
<span class="doccomment">/// slice: &'a [T],</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl<'a, T> Rem<usize> for SplitSlice<'a, T> {</span>
<span class="doccomment">/// type Output = SplitSlice<'a, T>;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn rem(self, modulus: usize) -> Self {</span>
<span class="doccomment">/// let len = self.slice.len();</span>
<span class="doccomment">/// let rem = len % modulus;</span>
<span class="doccomment">/// let start = len - rem;</span>
<span class="doccomment">/// SplitSlice {slice: &self.slice[start..]}</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // If we were to divide &[0, 1, 2, 3, 4, 5, 6, 7] into slices of size 3,</span>
<span class="doccomment">/// // the remainder would be &[6, 7].</span>
<span class="doccomment">/// assert_eq!(SplitSlice { slice: &[0, 1, 2, 3, 4, 5, 6, 7] } % 3,</span>
<span class="doccomment">/// SplitSlice { slice: &[6, 7] });</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"rem"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(<span class="ident">message</span><span class="op">=</span><span class="string">"cannot mod `{Self}` by `{RHS}`"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} % {RHS}`"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"%"</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Rem</span><span class="op"><</span><span class="ident">RHS</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// The resulting type after applying the `%` operator.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="self">Self</span>;
<span class="doccomment">/// Performs the `%` operation.</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">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">rem</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">RHS</span>) <span class="op">-></span> <span class="self">Self</span>::<span class="ident">Output</span>;
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">rem_impl_integer</span> {
($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) <span class="op">=></span> ($(
<span class="doccomment">/// This operation satisfies `n % d == n - (n / d) * d`. The</span>
<span class="doccomment">/// result has the same sign as the left operand.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Rem</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { <span class="self">self</span> <span class="op">%</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_binop</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">Rem</span>, <span class="ident">rem</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="kw-2">*</span>)
}
<span class="macro">rem_impl_integer</span><span class="macro">!</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">rem_impl_float</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">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Rem</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { <span class="self">self</span> <span class="op">%</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_binop</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">Rem</span>, <span class="ident">rem</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="kw-2">*</span>)
}
<span class="macro">rem_impl_float</span><span class="macro">!</span> { <span class="ident">f32</span> <span class="ident">f64</span> }
<span class="doccomment">/// The unary negation operator `-`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// An implementation of `Neg` for `Sign`, which allows the use of `-` to</span>
<span class="doccomment">/// negate its value.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::Neg;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// enum Sign {</span>
<span class="doccomment">/// Negative,</span>
<span class="doccomment">/// Zero,</span>
<span class="doccomment">/// Positive,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl Neg for Sign {</span>
<span class="doccomment">/// type Output = Sign;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// fn neg(self) -> Sign {</span>
<span class="doccomment">/// match self {</span>
<span class="doccomment">/// Sign::Negative => Sign::Positive,</span>
<span class="doccomment">/// Sign::Zero => Sign::Zero,</span>
<span class="doccomment">/// Sign::Positive => Sign::Negative,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // A negative positive is a negative.</span>
<span class="doccomment">/// assert_eq!(-Sign::Positive, Sign::Negative);</span>
<span class="doccomment">/// // A double negative is a positive.</span>
<span class="doccomment">/// assert_eq!(-Sign::Negative, Sign::Positive);</span>
<span class="doccomment">/// // Zero is its own negation.</span>
<span class="doccomment">/// assert_eq!(-Sign::Zero, Sign::Zero);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"neg"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"-"</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Neg</span> {
<span class="doccomment">/// The resulting type after applying the `-` operator.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">type</span> <span class="ident">Output</span>;
<span class="doccomment">/// Performs the unary `-` operation.</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">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">neg</span>(<span class="self">self</span>) <span class="op">-></span> <span class="self">Self</span>::<span class="ident">Output</span>;
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">neg_impl_core</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">id</span>:<span class="ident">ident</span> <span class="op">=></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">body</span>:<span class="ident">expr</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">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Neg</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="attribute">#[<span class="ident">rustc_inherit_overflow_checks</span>]</span>
<span class="kw">fn</span> <span class="ident">neg</span>(<span class="self">self</span>) <span class="op">-></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> { <span class="kw">let</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">id</span> <span class="op">=</span> <span class="self">self</span>; <span class="macro-nonterminal">$</span><span class="macro-nonterminal">body</span> }
}
<span class="macro">forward_ref_unop</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">Neg</span>, <span class="ident">neg</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="kw-2">*</span>)
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">neg_impl_numeric</span> {
($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="kw-2">*</span>) <span class="op">=></span> { <span class="macro">neg_impl_core</span><span class="macro">!</span>{ <span class="ident">x</span> <span class="op">=></span> <span class="op">-</span><span class="ident">x</span>, $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>)<span class="kw-2">*</span>} }
}
<span class="attribute">#[<span class="ident">allow</span>(<span class="ident">unused_macros</span>)]</span>
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">neg_impl_unsigned</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">=></span> {
<span class="macro">neg_impl_core</span><span class="macro">!</span>{ <span class="ident">x</span> <span class="op">=></span> {
<span class="op">!</span><span class="ident">x</span>.<span class="ident">wrapping_add</span>(<span class="number">1</span>)
}, $(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>)<span class="kw-2">*</span>} }
}
<span class="comment">// neg_impl_unsigned! { usize u8 u16 u32 u64 }</span>
<span class="macro">neg_impl_numeric</span><span class="macro">!</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="doccomment">/// The addition assignment operator `+=`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This example creates a `Point` struct that implements the `AddAssign`</span>
<span class="doccomment">/// trait, and then demonstrates add-assigning to a mutable `Point`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::AddAssign;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Point {</span>
<span class="doccomment">/// x: i32,</span>
<span class="doccomment">/// y: i32,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl AddAssign for Point {</span>
<span class="doccomment">/// fn add_assign(&mut self, other: Point) {</span>
<span class="doccomment">/// *self = Point {</span>
<span class="doccomment">/// x: self.x + other.x,</span>
<span class="doccomment">/// y: self.y + other.y,</span>
<span class="doccomment">/// };</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let mut point = Point { x: 1, y: 0 };</span>
<span class="doccomment">/// point += Point { x: 2, y: 3 };</span>
<span class="doccomment">/// assert_eq!(point, Point { x: 3, y: 3 });</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"add_assign"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(<span class="ident">message</span><span class="op">=</span><span class="string">"cannot add-assign `{Rhs}` to `{Self}`"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} += {Rhs}`"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"+"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"+="</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">AddAssign</span><span class="op"><</span><span class="ident">Rhs</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// Performs the `+=` operation.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">add_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">Rhs</span>);
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">add_assign_impl</span> {
($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="op">+</span>) <span class="op">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">AddAssign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="attribute">#[<span class="ident">rustc_inherit_overflow_checks</span>]</span>
<span class="kw">fn</span> <span class="ident">add_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) { <span class="kw-2">*</span><span class="self">self</span> <span class="op">+=</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_op_assign</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">AddAssign</span>, <span class="ident">add_assign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="op">+</span>)
}
<span class="macro">add_assign_impl</span><span class="macro">!</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="doccomment">/// The subtraction assignment operator `-=`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This example creates a `Point` struct that implements the `SubAssign`</span>
<span class="doccomment">/// trait, and then demonstrates sub-assigning to a mutable `Point`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::SubAssign;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Point {</span>
<span class="doccomment">/// x: i32,</span>
<span class="doccomment">/// y: i32,</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl SubAssign for Point {</span>
<span class="doccomment">/// fn sub_assign(&mut self, other: Point) {</span>
<span class="doccomment">/// *self = Point {</span>
<span class="doccomment">/// x: self.x - other.x,</span>
<span class="doccomment">/// y: self.y - other.y,</span>
<span class="doccomment">/// };</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let mut point = Point { x: 3, y: 3 };</span>
<span class="doccomment">/// point -= Point { x: 2, y: 3 };</span>
<span class="doccomment">/// assert_eq!(point, Point {x: 1, y: 0});</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"sub_assign"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(<span class="ident">message</span><span class="op">=</span><span class="string">"cannot subtract-assign `{Rhs}` from `{Self}`"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} -= {Rhs}`"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"-"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"-="</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">SubAssign</span><span class="op"><</span><span class="ident">Rhs</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// Performs the `-=` operation.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">sub_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">Rhs</span>);
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">sub_assign_impl</span> {
($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="op">+</span>) <span class="op">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">SubAssign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="attribute">#[<span class="ident">rustc_inherit_overflow_checks</span>]</span>
<span class="kw">fn</span> <span class="ident">sub_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) { <span class="kw-2">*</span><span class="self">self</span> <span class="op">-=</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_op_assign</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">SubAssign</span>, <span class="ident">sub_assign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="op">+</span>)
}
<span class="macro">sub_assign_impl</span><span class="macro">!</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="doccomment">/// The multiplication assignment operator `*=`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::MulAssign;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Frequency { hertz: f64 }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl MulAssign<f64> for Frequency {</span>
<span class="doccomment">/// fn mul_assign(&mut self, rhs: f64) {</span>
<span class="doccomment">/// self.hertz *= rhs;</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let mut frequency = Frequency { hertz: 50.0 };</span>
<span class="doccomment">/// frequency *= 4.0;</span>
<span class="doccomment">/// assert_eq!(Frequency { hertz: 200.0 }, frequency);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"mul_assign"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(<span class="ident">message</span><span class="op">=</span><span class="string">"cannot multiply-assign `{Rhs}` to `{Self}`"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} *= {Rhs}`"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"*"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"*="</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">MulAssign</span><span class="op"><</span><span class="ident">Rhs</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// Performs the `*=` operation.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">mul_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">Rhs</span>);
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">mul_assign_impl</span> {
($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="op">+</span>) <span class="op">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">MulAssign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="attribute">#[<span class="ident">rustc_inherit_overflow_checks</span>]</span>
<span class="kw">fn</span> <span class="ident">mul_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) { <span class="kw-2">*</span><span class="self">self</span> <span class="op">*=</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_op_assign</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">MulAssign</span>, <span class="ident">mul_assign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="op">+</span>)
}
<span class="macro">mul_assign_impl</span><span class="macro">!</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="doccomment">/// The division assignment operator `/=`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::DivAssign;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// #[derive(Debug, PartialEq)]</span>
<span class="doccomment">/// struct Frequency { hertz: f64 }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl DivAssign<f64> for Frequency {</span>
<span class="doccomment">/// fn div_assign(&mut self, rhs: f64) {</span>
<span class="doccomment">/// self.hertz /= rhs;</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let mut frequency = Frequency { hertz: 200.0 };</span>
<span class="doccomment">/// frequency /= 4.0;</span>
<span class="doccomment">/// assert_eq!(Frequency { hertz: 50.0 }, frequency);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"div_assign"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(<span class="ident">message</span><span class="op">=</span><span class="string">"cannot divide-assign `{Self}` by `{Rhs}`"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} /= {Rhs}`"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"/"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"/="</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">DivAssign</span><span class="op"><</span><span class="ident">Rhs</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// Performs the `/=` operation.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">div_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">Rhs</span>);
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">div_assign_impl</span> {
($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="op">+</span>) <span class="op">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">DivAssign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) { <span class="kw-2">*</span><span class="self">self</span> <span class="op">/=</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_op_assign</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">DivAssign</span>, <span class="ident">div_assign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="op">+</span>)
}
<span class="macro">div_assign_impl</span><span class="macro">!</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="doccomment">/// The remainder assignment operator `%=`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::ops::RemAssign;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// struct CookieJar { cookies: u32 }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// impl RemAssign<u32> for CookieJar {</span>
<span class="doccomment">/// fn rem_assign(&mut self, piles: u32) {</span>
<span class="doccomment">/// self.cookies %= piles;</span>
<span class="doccomment">/// }</span>
<span class="doccomment">/// }</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let mut jar = CookieJar { cookies: 31 };</span>
<span class="doccomment">/// let piles = 4;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// println!("Splitting up {} cookies into {} even piles!", jar.cookies, piles);</span>
<span class="doccomment">///</span>
<span class="doccomment">/// jar %= piles;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// println!("{} cookies remain in the cookie jar!", jar.cookies);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"rem_assign"</span>]</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="attribute">#[<span class="ident">rustc_on_unimplemented</span>(<span class="ident">message</span><span class="op">=</span><span class="string">"cannot mod-assign `{Self}` by `{Rhs}``"</span>,
<span class="ident">label</span><span class="op">=</span><span class="string">"no implementation for `{Self} %= {Rhs}`"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"%"</span>)]</span>
<span class="attribute">#[<span class="ident">doc</span>(<span class="ident">alias</span> <span class="op">=</span> <span class="string">"%="</span>)]</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">RemAssign</span><span class="op"><</span><span class="ident">Rhs</span><span class="op">=</span><span class="self">Self</span><span class="op">></span> {
<span class="doccomment">/// Performs the `%=` operation.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">rem_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">Rhs</span>);
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">rem_assign_impl</span> {
($(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>:<span class="ident">ty</span>)<span class="op">+</span>) <span class="op">=></span> ($(
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"op_assign_traits"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.8.0"</span>)]</span>
<span class="kw">impl</span> <span class="ident">RemAssign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">rem_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>) { <span class="kw-2">*</span><span class="self">self</span> <span class="op">%=</span> <span class="ident">other</span> }
}
<span class="macro">forward_ref_op_assign</span><span class="macro">!</span> { <span class="kw">impl</span> <span class="ident">RemAssign</span>, <span class="ident">rem_assign</span> <span class="kw">for</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">t</span> }
)<span class="op">+</span>)
}
<span class="macro">rem_assign_impl</span><span class="macro">!</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> }
</pre>
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