<!DOCTYPE HTML>
< html lang = "zh-CN" class = "light sidebar-visible" dir = "ltr" >
< head >
<!-- Book generated using mdBook -->
< meta charset = "UTF-8" >
< title > 泛型 Generics - Rust语言圣经(Rust Course)< / title >
<!-- Custom HTML head -->
< meta name = "description" content = "" >
< meta name = "viewport" content = "width=device-width, initial-scale=1" >
< meta name = "theme-color" content = "#ffffff" >
< link rel = "icon" href = "../../favicon-de23e50b.svg" >
< link rel = "shortcut icon" href = "../../favicon-8114d1fc.png" >
< link rel = "stylesheet" href = "../../css/variables-8adf115d.css" >
< link rel = "stylesheet" href = "../../css/general-2459343d.css" >
< link rel = "stylesheet" href = "../../css/chrome-ae938929.css" >
< link rel = "stylesheet" href = "../../css/print-9e4910d8.css" media = "print" >
<!-- Fonts -->
< link rel = "stylesheet" href = "../../fonts/fonts-9644e21d.css" >
<!-- Highlight.js Stylesheets -->
< link rel = "stylesheet" id = "mdbook-highlight-css" href = "../../highlight-493f70e1.css" >
< link rel = "stylesheet" id = "mdbook-tomorrow-night-css" href = "../../tomorrow-night-4c0ae647.css" >
< link rel = "stylesheet" id = "mdbook-ayu-highlight-css" href = "../../ayu-highlight-3fdfc3ac.css" >
<!-- Custom theme stylesheets -->
< link rel = "stylesheet" href = "../../theme/style-78591068.css" >
<!-- Provide site root and default themes to javascript -->
< script >
const path_to_root = "../../";
const default_light_theme = "light";
const default_dark_theme = "navy";
window.path_to_searchindex_js = "../../searchindex-4dbab867.js";
< / script >
<!-- Start loading toc.js asap -->
< script src = "../../toc-42887675.js" > < / script >
< / head >
< body >
< div id = "mdbook-help-container" >
< div id = "mdbook-help-popup" >
< h2 class = "mdbook-help-title" > Keyboard shortcuts< / h2 >
< div >
< p > Press < kbd > ←< / kbd > or < kbd > →< / kbd > to navigate between chapters< / p >
< p > Press < kbd > S< / kbd > or < kbd > /< / kbd > to search in the book< / p >
< p > Press < kbd > ?< / kbd > to show this help< / p >
< p > Press < kbd > Esc< / kbd > to hide this help< / p >
< / div >
< / div >
< / div >
< div id = "mdbook-body-container" >
<!-- Work around some values being stored in localStorage wrapped in quotes -->
< script >
try {
let theme = localStorage.getItem('mdbook-theme');
let sidebar = localStorage.getItem('mdbook-sidebar');
if (theme.startsWith('"') & & theme.endsWith('"')) {
localStorage.setItem('mdbook-theme', theme.slice(1, theme.length - 1));
}
if (sidebar.startsWith('"') & & sidebar.endsWith('"')) {
localStorage.setItem('mdbook-sidebar', sidebar.slice(1, sidebar.length - 1));
}
} catch (e) { }
< / script >
<!-- Set the theme before any content is loaded, prevents flash -->
< script >
const default_theme = window.matchMedia("(prefers-color-scheme: dark)").matches ? default_dark_theme : default_light_theme;
let theme;
try { theme = localStorage.getItem('mdbook-theme'); } catch(e) { }
if (theme === null || theme === undefined) { theme = default_theme; }
const html = document.documentElement;
html.classList.remove('light')
html.classList.add(theme);
html.classList.add("js");
< / script >
< input type = "checkbox" id = "mdbook-sidebar-toggle-anchor" class = "hidden" >
<!-- Hide / unhide sidebar before it is displayed -->
< script >
let sidebar = null;
const sidebar_toggle = document.getElementById("mdbook-sidebar-toggle-anchor");
if (document.body.clientWidth >= 1080) {
try { sidebar = localStorage.getItem('mdbook-sidebar'); } catch(e) { }
sidebar = sidebar || 'visible';
} else {
sidebar = 'hidden';
sidebar_toggle.checked = false;
}
if (sidebar === 'visible') {
sidebar_toggle.checked = true;
} else {
html.classList.remove('sidebar-visible');
}
< / script >
< nav id = "mdbook-sidebar" class = "sidebar" aria-label = "Table of contents" >
<!-- populated by js -->
< mdbook-sidebar-scrollbox class = "sidebar-scrollbox" > < / mdbook-sidebar-scrollbox >
< noscript >
< iframe class = "sidebar-iframe-outer" src = "../../toc.html" > < / iframe >
< / noscript >
< div id = "mdbook-sidebar-resize-handle" class = "sidebar-resize-handle" >
< div class = "sidebar-resize-indicator" > < / div >
< / div >
< / nav >
< div id = "mdbook-page-wrapper" class = "page-wrapper" >
< div class = "page" >
< div id = "mdbook-menu-bar-hover-placeholder" > < / div >
< div id = "mdbook-menu-bar" class = "menu-bar sticky" >
< div class = "left-buttons" >
< label id = "mdbook-sidebar-toggle" class = "icon-button" for = "mdbook-sidebar-toggle-anchor" title = "Toggle Table of Contents" aria-label = "Toggle Table of Contents" aria-controls = "mdbook-sidebar" >
< span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 448 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M0 96C0 78.3 14.3 64 32 64H416c17.7 0 32 14.3 32 32s-14.3 32-32 32H32C14.3 128 0 113.7 0 96zM0 256c0-17.7 14.3-32 32-32H416c17.7 0 32 14.3 32 32s-14.3 32-32 32H32c-17.7 0-32-14.3-32-32zM448 416c0 17.7-14.3 32-32 32H32c-17.7 0-32-14.3-32-32s14.3-32 32-32H416c17.7 0 32 14.3 32 32z" / > < / svg > < / span >
< / label >
< button id = "mdbook-theme-toggle" class = "icon-button" type = "button" title = "Change theme" aria-label = "Change theme" aria-haspopup = "true" aria-expanded = "false" aria-controls = "mdbook-theme-list" >
< span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 576 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M371.3 367.1c27.3-3.9 51.9-19.4 67.2-42.9L600.2 74.1c12.6-19.5 9.4-45.3-7.6-61.2S549.7-4.4 531.1 9.6L294.4 187.2c-24 18-38.2 46.1-38.4 76.1L371.3 367.1zm-19.6 25.4l-116-104.4C175.9 290.3 128 339.6 128 400c0 3.9 .2 7.8 .6 11.6c1.8 17.5-10.2 36.4-27.8 36.4H96c-17.7 0-32 14.3-32 32s14.3 32 32 32H240c61.9 0 112-50.1 112-112c0-2.5-.1-5-.2-7.5z" / > < / svg > < / span >
< / button >
< ul id = "mdbook-theme-list" class = "theme-popup" aria-label = "Themes" role = "menu" >
< li role = "none" > < button role = "menuitem" class = "theme" id = "mdbook-theme-default_theme" > Auto< / button > < / li >
< li role = "none" > < button role = "menuitem" class = "theme" id = "mdbook-theme-light" > Light< / button > < / li >
< li role = "none" > < button role = "menuitem" class = "theme" id = "mdbook-theme-rust" > Rust< / button > < / li >
< li role = "none" > < button role = "menuitem" class = "theme" id = "mdbook-theme-coal" > Coal< / button > < / li >
< li role = "none" > < button role = "menuitem" class = "theme" id = "mdbook-theme-navy" > Navy< / button > < / li >
< li role = "none" > < button role = "menuitem" class = "theme" id = "mdbook-theme-ayu" > Ayu< / button > < / li >
< / ul >
< button id = "mdbook-search-toggle" class = "icon-button" type = "button" title = "Search (`/`)" aria-label = "Toggle Searchbar" aria-expanded = "false" aria-keyshortcuts = "/ s" aria-controls = "mdbook-searchbar" >
< span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M416 208c0 45.9-14.9 88.3-40 122.7L502.6 457.4c12.5 12.5 12.5 32.8 0 45.3s-32.8 12.5-45.3 0L330.7 376c-34.4 25.2-76.8 40-122.7 40C93.1 416 0 322.9 0 208S93.1 0 208 0S416 93.1 416 208zM208 352c79.5 0 144-64.5 144-144s-64.5-144-144-144S64 128.5 64 208s64.5 144 144 144z" / > < / svg > < / span >
< / button >
< / div >
< h1 class = "menu-title" > Rust语言圣经(Rust Course)< / h1 >
< div class = "right-buttons" >
< a href = "../../print.html" title = "Print this book" aria-label = "Print this book" >
< span class = fa-svg id = "print-button" > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M128 0C92.7 0 64 28.7 64 64v96h64V64H354.7L384 93.3V160h64V93.3c0-17-6.7-33.3-18.7-45.3L400 18.7C388 6.7 371.7 0 354.7 0H128zM384 352v32 64H128V384 368 352H384zm64 32h32c17.7 0 32-14.3 32-32V256c0-35.3-28.7-64-64-64H64c-35.3 0-64 28.7-64 64v96c0 17.7 14.3 32 32 32H64v64c0 35.3 28.7 64 64 64H384c35.3 0 64-28.7 64-64V384zm-16-88c-13.3 0-24-10.7-24-24s10.7-24 24-24s24 10.7 24 24s-10.7 24-24 24z" / > < / svg > < / span >
< / a >
< a href = "https://github.com/sunface/rust-course" title = "Git repository" aria-label = "Git repository" >
< span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 496 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M165.9 397.4c0 2-2.3 3.6-5.2 3.6-3.3.3-5.6-1.3-5.6-3.6 0-2 2.3-3.6 5.2-3.6 3-.3 5.6 1.3 5.6 3.6zm-31.1-4.5c-.7 2 1.3 4.3 4.3 4.9 2.6 1 5.6 0 6.2-2s-1.3-4.3-4.3-5.2c-2.6-.7-5.5.3-6.2 2.3zm44.2-1.7c-2.9.7-4.9 2.6-4.6 4.9.3 2 2.9 3.3 5.9 2.6 2.9-.7 4.9-2.6 4.6-4.6-.3-1.9-3-3.2-5.9-2.9zM244.8 8C106.1 8 0 113.3 0 252c0 110.9 69.8 205.8 169.5 239.2 12.8 2.3 17.3-5.6 17.3-12.1 0-6.2-.3-40.4-.3-61.4 0 0-70 15-84.7-29.8 0 0-11.4-29.1-27.8-36.6 0 0-22.9-15.7 1.6-15.4 0 0 24.9 2 38.6 25.8 21.9 38.6 58.6 27.5 72.9 20.9 2.3-16 8.8-27.1 16-33.7-55.9-6.2-112.3-14.3-112.3-110.5 0-27.5 7.6-41.3 23.6-58.9-2.6-6.5-11.1-33.3 2.6-67.9 20.9-6.5 69 27 69 27 20-5.6 41.5-8.5 62.8-8.5s42.8 2.9 62.8 8.5c0 0 48.1-33.6 69-27 13.7 34.7 5.2 61.4 2.6 67.9 16 17.7 25.8 31.5 25.8 58.9 0 96.5-58.9 104.2-114.8 110.5 9.2 7.9 17 22.9 17 46.4 0 33.7-.3 75.4-.3 83.6 0 6.5 4.6 14.4 17.3 12.1C428.2 457.8 496 362.9 496 252 496 113.3 383.5 8 244.8 8zM97.2 352.9c-1.3 1-1 3.3.7 5.2 1.6 1.6 3.9 2.3 5.2 1 1.3-1 1-3.3-.7-5.2-1.6-1.6-3.9-2.3-5.2-1zm-10.8-8.1c-.7 1.3.3 2.9 2.3 3.9 1.6 1 3.6.7 4.3-.7.7-1.3-.3-2.9-2.3-3.9-2-.6-3.6-.3-4.3.7zm32.4 35.6c-1.6 1.3-1 4.3 1.3 6.2 2.3 2.3 5.2 2.6 6.5 1 1.3-1.3.7-4.3-1.3-6.2-2.2-2.3-5.2-2.6-6.5-1zm-11.4-14.7c-1.6 1-1.6 3.6 0 5.9 1.6 2.3 4.3 3.3 5.6 2.3 1.6-1.3 1.6-3.9 0-6.2-1.4-2.3-4-3.3-5.6-2z" / > < / svg > < / span >
< / a >
< a href = "https://github.com/sunface/rust-course/edit/main/src/basic/trait/generic.md" title = "Suggest an edit" aria-label = "Suggest an edit" rel = "edit" >
< span class = fa-svg id = "git-edit-button" > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M421.7 220.3l-11.3 11.3-22.6 22.6-205 205c-6.6 6.6-14.8 11.5-23.8 14.1L30.8 511c-8.4 2.5-17.5 .2-23.7-6.1S-1.5 489.7 1 481.2L38.7 353.1c2.6-9 7.5-17.2 14.1-23.8l205-205 22.6-22.6 11.3-11.3 33.9 33.9 62.1 62.1 33.9 33.9zM96 353.9l-9.3 9.3c-.9 .9-1.6 2.1-2 3.4l-25.3 86 86-25.3c1.3-.4 2.5-1.1 3.4-2l9.3-9.3H112c-8.8 0-16-7.2-16-16V353.9zM453.3 19.3l39.4 39.4c25 25 25 65.5 0 90.5l-14.5 14.5-22.6 22.6-11.3 11.3-33.9-33.9-62.1-62.1L314.3 67.7l11.3-11.3 22.6-22.6 14.5-14.5c25-25 65.5-25 90.5 0z" / > < / svg > < / span >
< / a >
< / div >
< / div >
< div id = "mdbook-search-wrapper" class = "hidden" >
< form id = "mdbook-searchbar-outer" class = "searchbar-outer" >
< div class = "search-wrapper" >
< input type = "search" id = "mdbook-searchbar" name = "searchbar" placeholder = "Search this book ..." aria-controls = "mdbook-searchresults-outer" aria-describedby = "searchresults-header" >
< div class = "spinner-wrapper" >
< span class = fa-svg id = "fa-spin" > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M304 48c0-26.5-21.5-48-48-48s-48 21.5-48 48s21.5 48 48 48s48-21.5 48-48zm0 416c0-26.5-21.5-48-48-48s-48 21.5-48 48s21.5 48 48 48s48-21.5 48-48zM48 304c26.5 0 48-21.5 48-48s-21.5-48-48-48s-48 21.5-48 48s21.5 48 48 48zm464-48c0-26.5-21.5-48-48-48s-48 21.5-48 48s21.5 48 48 48s48-21.5 48-48zM142.9 437c18.7-18.7 18.7-49.1 0-67.9s-49.1-18.7-67.9 0s-18.7 49.1 0 67.9s49.1 18.7 67.9 0zm0-294.2c18.7-18.7 18.7-49.1 0-67.9S93.7 56.2 75 75s-18.7 49.1 0 67.9s49.1 18.7 67.9 0zM369.1 437c18.7 18.7 49.1 18.7 67.9 0s18.7-49.1 0-67.9s-49.1-18.7-67.9 0s-18.7 49.1 0 67.9z" / > < / svg > < / span >
< / div >
< / div >
< / form >
< div id = "mdbook-searchresults-outer" class = "searchresults-outer hidden" >
< div id = "mdbook-searchresults-header" class = "searchresults-header" > < / div >
< ul id = "mdbook-searchresults" >
< / ul >
< / div >
< / div >
<!-- Apply ARIA attributes after the sidebar and the sidebar toggle button are added to the DOM -->
< script >
document.getElementById('mdbook-sidebar-toggle').setAttribute('aria-expanded', sidebar === 'visible');
document.getElementById('mdbook-sidebar').setAttribute('aria-hidden', sidebar !== 'visible');
Array.from(document.querySelectorAll('#mdbook-sidebar a')).forEach(function(link) {
link.setAttribute('tabIndex', sidebar === 'visible' ? 0 : -1);
});
< / script >
< div id = "mdbook-content" class = "content" >
< main >
< h1 id = "泛型-generics" > < a class = "header" href = "#泛型-generics" > 泛型 Generics< / a > < / h1 >
< p > Go 语言在 2022 年,就要正式引入泛型,被视为在 1.0 版本后, 语言特性发展迈出的一大步, 为什么泛型这么重要? 到底什么是泛型? Rust 的泛型有几种?
本章将一一为你讲解。< / p >
< p > 我们在编程中,经常有这样的需求:用同一功能的函数处理不同类型的数据,例如两个数的加法,无论是整数还是浮点数,甚至是自定义类型,都能进行支持。在不支持泛型的编程语言中,通常需要为每一种类型编写一个函数:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > fn add_i8(a:i8, b:i8) -> i8 {
a + b
}
fn add_i32(a:i32, b:i32) -> i32 {
a + b
}
fn add_f64(a:f64, b:f64) -> f64 {
a + b
}
fn main() {
println!("add i8: {}", add_i8(2i8, 3i8));
println!("add i32: {}", add_i32(20, 30));
println!("add f64: {}", add_f64(1.23, 1.23));
}< / code > < / pre >
< p > 上述代码可以正常运行,但是很啰嗦,如果你要支持更多的类型,那么会更繁琐。程序员或多或少都有强迫症,一个好程序员的公认特征就是 —— 懒,这么勤快的写一大堆代码,显然不是咱们的优良传统,是不?< / p >
< p > 在开始讲解 Rust 的泛型之前,先来看看什么是多态。< / p >
< p > 在编程的时候,我们经常利用多态。通俗的讲,多态就是好比坦克的炮管,既可以发射普通弹药,也可以发射制导炮弹(导弹),也可以发射贫铀穿甲弹,甚至发射子母弹,没有必要为每一种炮弹都在坦克上分别安装一个专用炮管,即使生产商愿意,炮手也不愿意,累死人啊。所以在编程开发中,我们也需要这样“通用的炮管”,这个“通用的炮管”就是多态。< / p >
< p > 实际上,泛型就是一种多态。泛型主要目的是为程序员提供编程的便利,减少代码的臃肿,同时可以极大地丰富语言本身的表达能力,为程序员提供了一个合适的炮管。想想,一个函数,可以代替几十个,甚至数百个函数,是一件多么让人兴奋的事情:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > fn add< T> (a:T, b:T) -> T {
a + b
}
fn main() {
println!("add i8: {}", add(2i8, 3i8));
println!("add i32: {}", add(20, 30));
println!("add f64: {}", add(1.23, 1.23));
}< / code > < / pre >
< p > 将之前的代码改成上面这样,就是 Rust 泛型的初印象,这段代码虽然很简洁,但是并不能编译通过,我们会在后面进行详细讲解,现在只要对泛型有个大概的印象即可。< / p >
< h2 id = "泛型详解" > < a class = "header" href = "#泛型详解" > 泛型详解< / a > < / h2 >
< p > 上面代码的 < code > T< / code > 就是< strong > 泛型参数< / strong > ,实际上在 Rust 中,泛型参数的名称你可以任意起,但是出于惯例,我们都用 < code > T< / code > ( < code > T< / code > 是 < code > type< / code > 的首字母)来作为首选,这个名称越短越好,除非需要表达含义,否则一个字母是最完美的。< / p >
< p > 使用泛型参数,有一个先决条件,必需在使用前对其进行声明:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > < span class = "boring" > #![allow(unused)]
< / span > < span class = "boring" > fn main() {
< / span > fn largest< T> (list: & [T]) -> T {
< span class = "boring" > }< / span > < / code > < / pre >
< p > 该泛型函数的作用是从列表中找出最大的值,其中列表中的元素类型为 T。首先 < code > largest< T> < / code > 对泛型参数 < code > T< / code > 进行了声明,然后才在函数参数中进行使用该泛型参数 < code > list: & [T]< / code > (还记得 < code > & [T]< / code > 类型吧?这是< a href = "https://course.rs/basic/compound-type/array.html#数组切片" > 数组切片< / a > )。< / p >
< p > 总之,我们可以这样理解这个函数定义:函数 < code > largest< / code > 有泛型类型 < code > T< / code > ,它有个参数 < code > list< / code > ,其元素是类型为 < code > T< / code > 的数组切片,最后,该函数返回值的类型也是 < code > T< / code > 。< / p >
< p > 下面是一个错误的泛型函数的实现:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > fn largest< T> (list: & [T]) -> T {
let mut largest = list[0];
for & item in list.iter() {
if item > largest {
largest = item;
}
}
largest
}
fn main() {
let number_list = vec![34, 50, 25, 100, 65];
let result = largest(& number_list);
println!("The largest number is {}", result);
let char_list = vec!['y', 'm', 'a', 'q'];
let result = largest(& char_list);
println!("The largest char is {}", result);
}< / code > < / pre >
< p > 运行后报错:< / p >
< pre > < code class = "language-console" > error[E0369]: binary operation `> ` cannot be applied to type `T` // `> `操作符不能用于类型`T`
--> src/main.rs:5:17
|
5 | if item > largest {
| ---- ^ ------- T
| |
| T
|
help: consider restricting type parameter `T` // 考虑对T进行类型上的限制 :
|
1 | fn largest< T: std::cmp::PartialOrd> (list: & [T]) -> T {
| ++++++++++++++++++++++
< / code > < / pre >
< p > 因为 < code > T< / code > 可以是任何类型,但不是所有的类型都能进行比较,因此上面的错误中,编译器建议我们给 < code > T< / code > 添加一个类型限制:使用 < code > std::cmp::PartialOrd< / code > 特征( Trait) 对 < code > T< / code > 进行限制,特征在下一节会详细介绍,现在你只要理解,该特征的目的就是让< strong > 类型实现可比较的功能< / strong > 。< / p >
< p > 还记得我们一开始的 < code > add< / code > 泛型函数吗?如果你运行它,会得到以下的报错:< / p >
< pre > < code class = "language-console" > error[E0369]: cannot add `T` to `T` // 无法将 `T` 类型跟 `T` 类型进行相加
--> src/main.rs:2:7
|
2 | a + b
| - ^ - T
| |
| T
|
help: consider restricting type parameter `T`
|
1 | fn add< T: std::ops::Add< Output = T> > (a:T, b:T) -> T {
| +++++++++++++++++++++++++++
< / code > < / pre >
< p > 同样的,不是所有 < code > T< / code > 类型都能进行相加操作,因此我们需要用 < code > std::ops::Add< Output = T> < / code > 对 < code > T< / code > 进行限制:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > < span class = "boring" > #![allow(unused)]
< / span > < span class = "boring" > fn main() {
< / span > fn add< T: std::ops::Add< Output = T> > (a:T, b:T) -> T {
a + b
}
< span class = "boring" > }< / span > < / code > < / pre >
< p > 进行如上修改后,就可以正常运行。< / p >
< h3 id = "显式地指定泛型的类型参数" > < a class = "header" href = "#显式地指定泛型的类型参数" > 显式地指定泛型的类型参数< / a > < / h3 >
< p > 有时候,编译器无法推断你想要的泛型参数:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > use std::fmt::Display;
fn create_and_print< T> () where T: From< i32> + Display {
let a: T = 100.into(); // 创建了类型为 T 的变量 a, 它的初始值由 100 转换而来
println!("a is: {}", a);
}
fn main() {
create_and_print();
}< / code > < / pre >
< p > 如果运行以上代码,会得到报错:< / p >
< pre > < code class = "language-console" > error[E0283]: type annotations needed // 需要标明类型
--> src/main.rs:9:5
|
9 | create_and_print();
| ^^^^^^^^^^^^^^^^ cannot infer type of the type parameter `T` declared on the function `create_and_print` // 无法推断函数 `create_and_print` 的类型参数 `T` 的类型
|
= note: multiple `impl`s satisfying `_: From< i32> ` found in the `core` crate:
- impl From< i32> for AtomicI32;
- impl From< i32> for f64;
- impl From< i32> for i128;
- impl From< i32> for i64;
note: required by a bound in `create_and_print`
--> src/main.rs:3:35
|
3 | fn create_and_print< T> () where T: From< i32> + Display {
| ^^^^^^^^^ required by this bound in `create_and_print`
help: consider specifying the generic argument // 尝试指定泛型参数
|
9 | create_and_print::< T> ();
| +++++
< / code > < / pre >
< p > 报错里说得很清楚,编译器不知道 < code > T< / code > 到底应该是什么类型。不过好心的编译器已经帮我们列出了满足条件的类型,然后告诉我们解决方法:显式指定类型:< code > create_and_print::< T> ()< / code > 。< / p >
< p > 于是,我们修改代码:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > use std::fmt::Display;
fn create_and_print< T> () where T: From< i32> + Display {
let a: T = 100.into(); // 创建了类型为 T 的变量 a, 它的初始值由 100 转换而来
println!("a is: {}", a);
}
fn main() {
create_and_print::< i64> ();
}< / code > < / pre >
< p > 即可成功运行。< / p >
< h2 id = "结构体中使用泛型" > < a class = "header" href = "#结构体中使用泛型" > 结构体中使用泛型< / a > < / h2 >
< p > 结构体中的字段类型也可以用泛型来定义,下面代码定义了一个坐标点 < code > Point< / code > ,它可以存放任何类型的坐标值:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > struct Point< T> {
x: T,
y: T,
}
fn main() {
let integer = Point { x: 5, y: 10 };
let float = Point { x: 1.0, y: 4.0 };
}< / code > < / pre >
< p > 这里有两点需要特别的注意:< / p >
< ul >
< li > < strong > 提前声明< / strong > ,跟泛型函数定义类似,首先我们在使用泛型参数之前必需要进行声明 < code > Point< T> < / code > ,接着就可以在结构体的字段类型中使用 < code > T< / code > 来替代具体的类型< / li >
< li > < strong > x 和 y 是相同的类型< / strong > < / li >
< / ul >
< p > 第二点非常重要,如果使用不同的类型,那么它会导致下面代码的报错:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > struct Point< T> {
x: T,
y: T,
}
fn main() {
let p = Point{x: 1, y :1.1};
}< / code > < / pre >
< p > 错误如下:< / p >
< pre > < code class = "language-console" > error[E0308]: mismatched types //类型不匹配
--> src/main.rs:7:28
|
7 | let p = Point{x: 1, y :1.1};
| ^^^ expected integer, found floating-point number //期望y是整数, 但是却是浮点数
< / code > < / pre >
< p > 当把 < code > 1< / code > 赋值给 < code > x< / code > 时,变量 < code > p< / code > 的 < code > T< / code > 类型就被确定为整数类型,因此 < code > y< / code > 也必须是整数类型,但是我们却给它赋予了浮点数,因此导致报错。< / p >
< p > 如果想让 < code > x< / code > 和 < code > y< / code > 既能类型相同,又能类型不同,就需要使用不同的泛型参数:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > struct Point< T,U> {
x: T,
y: U,
}
fn main() {
let p = Point{x: 1, y :1.1};
}< / code > < / pre >
< p > 切记,所有的泛型参数都要提前声明:< code > Point< T,U> < / code > ! 但是如果你的结构体变成这鬼样:< code > struct Woo< T,U,V,W,X> < / code > ,那么你需要考虑拆分这个结构体,减少泛型参数的个数和代码复杂度。< / p >
< h2 id = "枚举中使用泛型" > < a class = "header" href = "#枚举中使用泛型" > 枚举中使用泛型< / a > < / h2 >
< p > 提到枚举类型,< code > Option< / code > 永远是第一个应该被想起来的,在之前的章节中,它也多次出现:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > < span class = "boring" > #![allow(unused)]
< / span > < span class = "boring" > fn main() {
< / span > enum Option< T> {
Some(T),
None,
}
< span class = "boring" > }< / span > < / code > < / pre >
< p > < code > Option< T> < / code > 是一个拥有泛型 < code > T< / code > 的枚举类型,它第一个成员是 < code > Some(T)< / code > ,存放了一个类型为 < code > T< / code > 的值。得益于泛型的引入,我们可以在任何一个需要返回值的函数中,去使用 < code > Option< T> < / code > 枚举类型来做为返回值,用于返回一个任意类型的值 < code > Some(T)< / code > ,或者没有值 < code > None< / code > 。< / p >
< p > 对于枚举而言,卧龙凤雏永远是绕不过去的存在:如果是 < code > Option< / code > 是卧龙,那么 < code > Result< / code > 就一定是凤雏,得两者可得天下:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > < span class = "boring" > #![allow(unused)]
< / span > < span class = "boring" > fn main() {
< / span > enum Result< T, E> {
Ok(T),
Err(E),
}
< span class = "boring" > }< / span > < / code > < / pre >
< p > 这个枚举和 < code > Option< / code > 一样,主要用于函数返回值,与 < code > Option< / code > 用于值的存在与否不同,< code > Result < / code > 关注的主要是值的正确性。< / p >
< p > 如果函数正常运行,则最后返回一个 < code > Ok(T)< / code > , < code > T< / code > 是函数具体的返回值类型,如果函数异常运行,则返回一个 < code > Err(E)< / code > , < code > E< / code > 是错误类型。例如打开一个文件:如果成功打开文件,则返回 < code > Ok(std::fs::File)< / code > ,因此 < code > T< / code > 对应的是 < code > std::fs::File< / code > 类型;而当打开文件时出现问题时,返回 < code > Err(std::io::Error)< / code > , < code > E< / code > 对应的就是 < code > std::io::Error< / code > 类型。< / p >
< h2 id = "方法中使用泛型" > < a class = "header" href = "#方法中使用泛型" > 方法中使用泛型< / a > < / h2 >
< p > 上一章中,我们讲到什么是方法以及如何在结构体和枚举上定义方法。方法上也可以使用泛型:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > struct Point< T> {
x: T,
y: T,
}
impl< T> Point< T> {
fn x(& self) -> & T {
& self.x
}
}
fn main() {
let p = Point { x: 5, y: 10 };
println!("p.x = {}", p.x());
}< / code > < / pre >
< p > 使用泛型参数前,依然需要提前声明:< code > impl< T> < / code > ,只有提前声明了,我们才能在< code > Point< T> < / code > 中使用它,这样 Rust 就知道 < code > Point< / code > 的尖括号中的类型是泛型而不是具体类型。需要注意的是,这里的 < code > Point< T> < / code > 不再是泛型声明,而是一个完整的结构体类型,因为我们定义的结构体就是 < code > Point< T> < / code > 而不再是 < code > Point< / code > 。< / p >
< p > 除了结构体中的泛型参数,我们还能在该结构体的方法中定义额外的泛型参数,就跟泛型函数一样:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > struct Point< T, U> {
x: T,
y: U,
}
impl< T, U> Point< T, U> {
fn mixup< V, W> (self, other: Point< V, W> ) -> Point< T, W> {
Point {
x: self.x,
y: other.y,
}
}
}
fn main() {
let p1 = Point { x: 5, y: 10.4 };
let p2 = Point { x: "Hello", y: 'c'};
let p3 = p1.mixup(p2);
println!("p3.x = {}, p3.y = {}", p3.x, p3.y);
}< / code > < / pre >
< p > 这个例子中,< code > T,U< / code > 是定义在结构体 < code > Point< / code > 上的泛型参数,< code > V,W< / code > 是单独定义在方法 < code > mixup< / code > 上的泛型参数,它们并不冲突,说白了,你可以理解为,一个是结构体泛型,一个是函数泛型。< / p >
< h4 id = "为具体的泛型类型实现方法" > < a class = "header" href = "#为具体的泛型类型实现方法" > 为具体的泛型类型实现方法< / a > < / h4 >
< p > 对于 < code > Point< T> < / code > 类型,你不仅能定义基于 < code > T< / code > 的方法,还能针对特定的具体类型,进行方法定义:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > < span class = "boring" > #![allow(unused)]
< / span > < span class = "boring" > fn main() {
< / span > impl Point< f32> {
fn distance_from_origin(& self) -> f32 {
(self.x.powi(2) + self.y.powi(2)).sqrt()
}
}
< span class = "boring" > }< / span > < / code > < / pre >
< p > 这段代码意味着 < code > Point< f32> < / code > 类型会有一个方法 < code > distance_from_origin< / code > ,而其他 < code > T< / code > 不是 < code > f32< / code > 类型的 < code > Point< T> < / code > 实例则没有定义此方法。这个方法计算点实例与坐标< code > (0.0, 0.0)< / code > 之间的距离,并使用了只能用于浮点型的数学运算符。< / p >
< p > 这样我们就能针对特定的泛型类型实现某个特定的方法,对于其它泛型类型则没有定义该方法。< / p >
< h2 id = "const-泛型rust-151-版本引入的重要特性" > < a class = "header" href = "#const-泛型rust-151-版本引入的重要特性" > const 泛型( Rust 1.51 版本引入的重要特性)< / a > < / h2 >
< p > 在之前的泛型中,可以抽象为一句话:针对类型实现的泛型,所有的泛型都是为了抽象不同的类型,那有没有针对值的泛型?可能很多同学感觉很难理解,值怎么使用泛型?不急,我们先从数组讲起。< / p >
< p > 在< a href = "https://course.rs/basic/compound-type/array.html" > 数组< / a > 那节,有提到过很重要的一点:< code > [i32; 2]< / code > 和 < code > [i32; 3]< / code > 是不同的数组类型,比如下面的代码:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > fn display_array(arr: [i32; 3]) {
println!("{:?}", arr);
}
fn main() {
let arr: [i32; 3] = [1, 2, 3];
display_array(arr);
let arr: [i32; 2] = [1, 2];
display_array(arr);
}< / code > < / pre >
< p > 运行后报错:< / p >
< pre > < code class = "language-console" > error[E0308]: mismatched types // 类型不匹配
--> src/main.rs:10:19
|
10 | display_array(arr);
| ^^^ expected an array with a fixed size of 3 elements, found one with 2 elements
// 期望一个长度为3的数组, 却发现一个长度为2的
< / code > < / pre >
< p > 结合代码和报错,可以很清楚的看出,< code > [i32; 3]< / code > 和 < code > [i32; 2]< / code > 确实是两个完全不同的类型,因此无法用同一个函数调用。< / p >
< p > 首先,让我们修改代码,让 < code > display_array< / code > 能打印任意长度的 < code > i32< / code > 数组:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > fn display_array(arr: & [i32]) {
println!("{:?}", arr);
}
fn main() {
let arr: [i32; 3] = [1, 2, 3];
display_array(& arr);
let arr: [i32; 2] = [1, 2];
display_array(& arr);
}< / code > < / pre >
< p > 很简单,只要使用数组切片,然后传入 < code > arr< / code > 的不可变引用即可。< / p >
< p > 接着,将 < code > i32< / code > 改成所有类型的数组:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > fn display_array< T: std::fmt::Debug> (arr: & [T]) {
println!("{:?}", arr);
}
fn main() {
let arr: [i32; 3] = [1, 2, 3];
display_array(& arr);
let arr: [i32; 2] = [1, 2];
display_array(& arr);
}< / code > < / pre >
< p > 也不难,唯一要注意的是需要对 < code > T< / code > 加一个限制 < code > std::fmt::Debug< / code > ,该限制表明 < code > T< / code > 可以用在 < code > println!("{:?}", arr)< / code > 中,因为 < code > {:?}< / code > 形式的格式化输出需要 < code > arr< / code > 实现该特征。< / p >
< p > 通过引用,我们可以很轻松的解决处理任何类型数组的问题,但是如果在某些场景下引用不适宜用或者干脆不能用呢?你们知道为什么以前 Rust 的一些数组库,在使用的时候都限定长度不超过 32 吗?因为它们会为每个长度都单独实现一个函数,简直。。。毫无人性。难道没有什么办法可以解决这个问题吗?< / p >
< p > 好在,现在咱们有了 const 泛型,也就是针对值的泛型,正好可以用于处理数组长度的问题:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > fn display_array< T: std::fmt::Debug, const N: usize> (arr: [T; N]) {
println!("{:?}", arr);
}
fn main() {
let arr: [i32; 3] = [1, 2, 3];
display_array(arr);
let arr: [i32; 2] = [1, 2];
display_array(arr);
}< / code > < / pre >
< p > 如上所示,我们定义了一个类型为 < code > [T; N]< / code > 的数组,其中 < code > T< / code > 是一个基于类型的泛型参数,这个和之前讲的泛型没有区别,而重点在于 < code > N< / code > 这个泛型参数,它是一个基于值的泛型参数!因为它用来替代的是数组的长度。< / p >
< p > < code > N< / code > 就是 const 泛型,定义的语法是 < code > const N: usize< / code > ,表示 const 泛型 < code > N< / code > ,它基于的值类型是 < code > usize< / code > 。< / p >
< p > 在泛型参数之前, Rust 完全不适合复杂矩阵的运算,自从有了 const 泛型,一切即将改变。< / p >
< h4 id = "const-泛型表达式" > < a class = "header" href = "#const-泛型表达式" > const 泛型表达式< / a > < / h4 >
< p > 假设我们某段代码需要在内存很小的平台上工作,因此需要限制函数参数占用的内存大小,此时就可以使用 const 泛型表达式来实现:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > // 目前只能在nightly版本下使用
#![allow(incomplete_features)]
#![feature(generic_const_exprs)]
fn something< T> (val: T)
where
Assert< { core::mem::size_of::< T> () < 768 }> : IsTrue,
// ^-----------------------------^ 这里是一个 const 表达式,换成其它的 const 表达式也可以
{
//
}
fn main() {
something([0u8; 0]); // ok
something([0u8; 512]); // ok
something([0u8; 1024]); // 编译错误, 数组长度是1024字节, 超过了768字节的参数长度限制
}
// ---
pub enum Assert< const CHECK: bool> {
//
}
pub trait IsTrue {
//
}
impl IsTrue for Assert< true> {
//
}< / code > < / pre >
< h4 id = "const-fn" > < a class = "header" href = "#const-fn" > const fn< / a > < / h4 >
< p > 在讨论完 < code > const< / code > 泛型后,不得不提及另一个与之密切相关且强大的特性:< code > const fn< / code > ,即常量函数。< code > const fn< / code > 允许我们在编译期对函数进行求值,从而实现更高效、更灵活的代码设计。< / p >
< h5 id = "为什么需要-const-fn" > < a class = "header" href = "#为什么需要-const-fn" > 为什么需要 const fn< / a > < / h5 >
< p > 通常情况下,函数是在运行时被调用和执行的。然而,在某些场景下,我们希望在编译期就计算出一些值,以提高运行时的性能或满足某些编译期的约束条件。例如,定义数组的长度、计算常量值等。< / p >
< p > 有了 < code > const fn< / code > ,我们可以在编译期执行这些函数,从而将计算结果直接嵌入到生成的代码中。这不仅提高了运行时的性能,还使代码更加简洁和安全。< / p >
< h5 id = "const-fn-的基本用法" > < a class = "header" href = "#const-fn-的基本用法" > const fn 的基本用法< / a > < / h5 >
< p > 要定义一个常量函数,只需要在函数声明前加上 < code > const< / code > 关键字。例如:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > const fn add(a: usize, b: usize) -> usize {
a + b
}
const RESULT: usize = add(5, 10);
fn main() {
println!("The result is: {}", RESULT);
}< / code > < / pre >
< h5 id = "const-fn-的限制" > < a class = "header" href = "#const-fn-的限制" > const fn 的限制< / a > < / h5 >
< p > 虽然 < code > const fn< / code > 提供了很多便利,但是由于其在编译期执行,以确保函数能在编译期被安全地求值,因此有一些限制,例如,不可将随机数生成器写成 < code > const fn< / code > 。< / p >
< p > 无论在编译时还是运行时调用 < code > const fn< / code > ,它们的结果总是相同,即使多次调用也是如此。唯一的例外是,如果你在极端情况下进行复杂的浮点操作,你可能会得到(非常轻微的)不同结果。因此,不建议使 < code > 数组长度 (arr.len())< / code > 和 < code > Enum判别式< / code > 依赖于浮点计算。< / p >
< h5 id = "结合-const-fn-与-const-泛型" > < a class = "header" href = "#结合-const-fn-与-const-泛型" > 结合 const fn 与 const 泛型< / a > < / h5 >
< p > 将 < code > const fn< / code > 与 < code > const 泛型< / code > 结合,可以实现更加灵活和高效的代码设计。例如,创建一个固定大小的缓冲区结构,其中缓冲区大小由编译期计算确定:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > struct Buffer< const N: usize> {
data: [u8; N],
}
const fn compute_buffer_size(factor: usize) -> usize {
factor * 1024
}
fn main() {
const SIZE: usize = compute_buffer_size(4);
let buffer = Buffer::< SIZE> {
data: [0; SIZE],
};
println!("Buffer size: {} bytes", buffer.data.len());
}< / code > < / pre >
< p > 在这个例子中,< code > compute_buffer_size< / code > 是一个常量函数,它根据传入的 < code > factor< / code > 计算缓冲区的大小。在 < code > main< / code > 函数中,我们使用 < code > compute_buffer_size(4)< / code > 来计算缓冲区大小为 4096 字节,并将其作为泛型参数传递给 < code > Buffer< / code > 结构体。这样,缓冲区的大小在编译期就被确定下来,避免了运行时的计算开销。< / p >
< h2 id = "泛型的性能" > < a class = "header" href = "#泛型的性能" > 泛型的性能< / a > < / h2 >
< p > 在 Rust 中泛型是零成本的抽象,意味着你在使用泛型时,完全不用担心性能上的问题。< / p >
< p > 但是任何选择都是权衡得失的, 既然我们获得了性能上的巨大优势, 那么又失去了什么呢? Rust 是在编译期为泛型对应的多个类型,生成各自的代码,因此损失了编译速度和增大了最终生成文件的大小。< / p >
< p > 具体来说:< / p >
< p > Rust 通过在编译时进行泛型代码的 < strong > 单态化< / strong > (< em > monomorphization< / em > )来保证效率。单态化是一个通过填充编译时使用的具体类型,将通用代码转换为特定代码的过程。< / p >
< p > 编译器所做的工作正好与我们创建泛型函数的步骤相反,编译器寻找所有泛型代码被调用的位置并针对具体类型生成代码。< / p >
< p > 让我们看看一个使用标准库中 < code > Option< / code > 枚举的例子:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > < span class = "boring" > #![allow(unused)]
< / span > < span class = "boring" > fn main() {
< / span > let integer = Some(5);
let float = Some(5.0);
< span class = "boring" > }< / span > < / code > < / pre >
< p > 当 Rust 编译这些代码的时候,它会进行单态化。编译器会读取传递给 < code > Option< T> < / code > 的值并发现有两种 < code > Option< T> < / code > :一种对应 < code > i32< / code > 另一种对应 < code > f64< / code > 。为此,它会将泛型定义 < code > Option< T> < / code > 展开为 < code > Option_i32< / code > 和 < code > Option_f64< / code > ,接着将泛型定义替换为这两个具体的定义。< / p >
< p > 编译器生成的单态化版本的代码看起来像这样:< / p >
< pre class = "playground" > < code class = "language-rust edition2021" > enum Option_i32 {
Some(i32),
None,
}
enum Option_f64 {
Some(f64),
None,
}
fn main() {
let integer = Option_i32::Some(5);
let float = Option_f64::Some(5.0);
}< / code > < / pre >
< p > 我们可以使用泛型来编写不重复的代码,而 Rust 将会为每一个实例编译其特定类型的代码。这意味着在使用泛型时没有运行时开销;当代码运行,它的执行效率就跟好像手写每个具体定义的重复代码一样。这个单态化过程正是 Rust 泛型在运行时极其高效的原因。< / p >
< h2 id = "课后练习" > < a class = "header" href = "#课后练习" > 课后练习< / a > < / h2 >
< blockquote >
< p > Rust By Practice, 支持代码在线编辑和运行, 并提供详细的习题解答。< / p >
< ul >
< li > < a href = "https://practice-zh.course.rs/generics-traits/generics.html" > 泛型< / a >
< ul >
< li > < a href = "https://github.com/sunface/rust-by-practice/blob/master/solutions/generics-traits/generics.md" > 习题解答< / a > < / li >
< / ul >
< / li >
< li > < a href = "https://practice-zh.course.rs/generics-traits/const-generics.html" > const 泛型< / a >
< ul >
< li > < a href = "https://github.com/sunface/rust-by-practice/blob/master/solutions/generics-traits/const-generics.md" > 习题解答< / a > < / li >
< / ul >
< / li >
< / ul >
< / blockquote >
< / main >
< nav class = "nav-wrapper" aria-label = "Page navigation" >
<!-- Mobile navigation buttons -->
< a rel = "prev" href = "../../basic/trait/intro.html" class = "mobile-nav-chapters previous" title = "Previous chapter" aria-label = "Previous chapter" aria-keyshortcuts = "Left" >
< span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 320 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M41.4 233.4c-12.5 12.5-12.5 32.8 0 45.3l160 160c12.5 12.5 32.8 12.5 45.3 0s12.5-32.8 0-45.3L109.3 256 246.6 118.6c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0l-160 160z" / > < / svg > < / span >
< / a >
< a rel = "next prefetch" href = "../../basic/trait/trait.html" class = "mobile-nav-chapters next" title = "Next chapter" aria-label = "Next chapter" aria-keyshortcuts = "Right" >
< span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 320 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M278.6 233.4c12.5 12.5 12.5 32.8 0 45.3l-160 160c-12.5 12.5-32.8 12.5-45.3 0s-12.5-32.8 0-45.3L210.7 256 73.4 118.6c-12.5-12.5-12.5-32.8 0-45.3s32.8-12.5 45.3 0l160 160z" / > < / svg > < / span >
< / a >
< div style = "clear: both" > < / div >
< / nav >
< / div >
< / div >
< nav class = "nav-wide-wrapper" aria-label = "Page navigation" >
< a rel = "prev" href = "../../basic/trait/intro.html" class = "nav-chapters previous" title = "Previous chapter" aria-label = "Previous chapter" aria-keyshortcuts = "Left" >
< span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 320 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M41.4 233.4c-12.5 12.5-12.5 32.8 0 45.3l160 160c12.5 12.5 32.8 12.5 45.3 0s12.5-32.8 0-45.3L109.3 256 246.6 118.6c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0l-160 160z" / > < / svg > < / span >
< / a >
< a rel = "next prefetch" href = "../../basic/trait/trait.html" class = "nav-chapters next" title = "Next chapter" aria-label = "Next chapter" aria-keyshortcuts = "Right" >
< span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 320 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M278.6 233.4c12.5 12.5 12.5 32.8 0 45.3l-160 160c-12.5 12.5-32.8 12.5-45.3 0s-12.5-32.8 0-45.3L210.7 256 73.4 118.6c-12.5-12.5-12.5-32.8 0-45.3s32.8-12.5 45.3 0l160 160z" / > < / svg > < / span >
< / a >
< / nav >
< / div >
< template id = fa-eye > < span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 576 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M288 32c-80.8 0-145.5 36.8-192.6 80.6C48.6 156 17.3 208 2.5 243.7c-3.3 7.9-3.3 16.7 0 24.6C17.3 304 48.6 356 95.4 399.4C142.5 443.2 207.2 480 288 480s145.5-36.8 192.6-80.6c46.8-43.5 78.1-95.4 93-131.1c3.3-7.9 3.3-16.7 0-24.6c-14.9-35.7-46.2-87.7-93-131.1C433.5 68.8 368.8 32 288 32zM432 256c0 79.5-64.5 144-144 144s-144-64.5-144-144s64.5-144 144-144s144 64.5 144 144zM288 192c0 35.3-28.7 64-64 64c-11.5 0-22.3-3-31.6-8.4c-.2 2.8-.4 5.5-.4 8.4c0 53 43 96 96 96s96-43 96-96s-43-96-96-96c-2.8 0-5.6 .1-8.4 .4c5.3 9.3 8.4 20.1 8.4 31.6z" / > < / svg > < / span > < / template >
< template id = fa-eye-slash > < span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 640 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M38.8 5.1C28.4-3.1 13.3-1.2 5.1 9.2S-1.2 34.7 9.2 42.9l592 464c10.4 8.2 25.5 6.3 33.7-4.1s6.3-25.5-4.1-33.7L525.6 386.7c39.6-40.6 66.4-86.1 79.9-118.4c3.3-7.9 3.3-16.7 0-24.6c-14.9-35.7-46.2-87.7-93-131.1C465.5 68.8 400.8 32 320 32c-68.2 0-125 26.3-169.3 60.8L38.8 5.1zM223.1 149.5C248.6 126.2 282.7 112 320 112c79.5 0 144 64.5 144 144c0 24.9-6.3 48.3-17.4 68.7L408 294.5c5.2-11.8 8-24.8 8-38.5c0-53-43-96-96-96c-2.8 0-5.6 .1-8.4 .4c5.3 9.3 8.4 20.1 8.4 31.6c0 10.2-2.4 19.8-6.6 28.3l-90.3-70.8zm223.1 298L373 389.9c-16.4 6.5-34.3 10.1-53 10.1c-79.5 0-144-64.5-144-144c0-6.9 .5-13.6 1.4-20.2L83.1 161.5C60.3 191.2 44 220.8 34.5 243.7c-3.3 7.9-3.3 16.7 0 24.6c14.9 35.7 46.2 87.7 93 131.1C174.5 443.2 239.2 480 320 480c47.8 0 89.9-12.9 126.2-32.5z" / > < / svg > < / span > < / template >
< template id = fa-copy > < span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M502.6 70.63l-61.25-61.25C435.4 3.371 427.2 0 418.7 0H255.1c-35.35 0-64 28.66-64 64l.0195 256C192 355.4 220.7 384 256 384h192c35.2 0 64-28.8 64-64V93.25C512 84.77 508.6 76.63 502.6 70.63zM464 320c0 8.836-7.164 16-16 16H255.1c-8.838 0-16-7.164-16-16L239.1 64.13c0-8.836 7.164-16 16-16h128L384 96c0 17.67 14.33 32 32 32h47.1V320zM272 448c0 8.836-7.164 16-16 16H63.1c-8.838 0-16-7.164-16-16L47.98 192.1c0-8.836 7.164-16 16-16H160V128H63.99c-35.35 0-64 28.65-64 64l.0098 256C.002 483.3 28.66 512 64 512h192c35.2 0 64-28.8 64-64v-32h-47.1L272 448z" / > < / svg > < / span > < / template >
< template id = fa-play > < span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 384 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M73 39c-14.8-9.1-33.4-9.4-48.5-.9S0 62.6 0 80V432c0 17.4 9.4 33.4 24.5 41.9s33.7 8.1 48.5-.9L361 297c14.3-8.7 23-24.2 23-41s-8.7-32.2-23-41L73 39z" / > < / svg > < / span > < / template >
< template id = fa-clock-rotate-left > < span class = fa-svg > < svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > <!-- ! Font Awesome Free 6.2.0 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2022 Fonticons, Inc. --> < path d = "M75 75L41 41C25.9 25.9 0 36.6 0 57.9V168c0 13.3 10.7 24 24 24H134.1c21.4 0 32.1-25.9 17-41l-30.8-30.8C155 85.5 203 64 256 64c106 0 192 86 192 192s-86 192-192 192c-40.8 0-78.6-12.7-109.7-34.4c-14.5-10.1-34.4-6.6-44.6 7.9s-6.6 34.4 7.9 44.6C151.2 495 201.7 512 256 512c141.4 0 256-114.6 256-256S397.4 0 256 0C185.3 0 121.3 28.7 75 75zm181 53c-13.3 0-24 10.7-24 24V256c0 6.4 2.5 12.5 7 17l72 72c9.4 9.4 24.6 9.4 33.9 0s9.4-24.6 0-33.9l-65-65V152c0-13.3-10.7-24-24-24z" / > < / svg > < / span > < / template >
< script >
window.playground_copyable = true;
< / script >
< script src = "../../ace-2a3cd908.js" > < / script >
< script src = "../../mode-rust-2c9d5c9a.js" > < / script >
< script src = "../../editor-16ca416c.js" > < / script >
< script src = "../../theme-dawn-4493f9c8.js" > < / script >
< script src = "../../theme-tomorrow_night-9dbe62a9.js" > < / script >
< script src = "../../elasticlunr-ef4e11c1.min.js" > < / script >
< script src = "../../mark-09e88c2c.min.js" > < / script >
< script src = "../../searcher-c2a407aa.js" > < / script >
< script src = "../../clipboard-1626706a.min.js" > < / script >
< script src = "../../highlight-abc7f01d.js" > < / script >
< script src = "../../book-a0b12cfe.js" > < / script >
<!-- Custom JS scripts -->
< script src = "../../assets/custom-7d8ae1df.js" > < / script >
< script src = "../../assets/bigPicture-be03f9c8.js" > < / script >
< / div >
< / body >
< / html >