142 lines
No EOL
5.5 KiB
HTML
142 lines
No EOL
5.5 KiB
HTML
<!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="API documentation for the Rust `binomial` fn in crate `num_integer`.">
|
||
<meta name="keywords" content="rust, rustlang, rust-lang, binomial">
|
||
|
||
<title>num_integer::binomial - Rust</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="../main.css" id="themeStyle">
|
||
<script src="../storage.js"></script>
|
||
|
||
|
||
|
||
|
||
</head>
|
||
<body class="rustdoc fn">
|
||
<!--[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>
|
||
|
||
<p class='location'><a href='index.html'>num_integer</a></p><script>window.sidebarCurrent = {name: 'binomial', ty: 'fn', relpath: ''};</script><script defer src="sidebar-items.js"></script>
|
||
</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">
|
||
</div>
|
||
</form>
|
||
</nav>
|
||
|
||
<section id='main' class="content">
|
||
<h1 class='fqn'><span class='in-band'>Function <a href='index.html'>num_integer</a>::<wbr><a class="fn" href=''>binomial</a></span><span class='out-of-band'><span id='render-detail'>
|
||
<a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">
|
||
[<span class='inner'>−</span>]
|
||
</a>
|
||
</span><a class='srclink' href='../src/num_integer/lib.rs.html#772-791' title='goto source code'>[src]</a></span></h1>
|
||
<pre class='rust fn'>pub fn binomial<T: <a class="trait" href="../num_integer/trait.Integer.html" title="trait num_integer::Integer">Integer</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>>(n: T, k: T) -> T</pre><div class='docblock'><p>Calculate the binomial coefficient.</p>
|
||
<p>Note that this might overflow, depending on <code>T</code>. For the primitive integer
|
||
types, the following n are the largest ones possible such that there will
|
||
be no overflow for any k:</p>
|
||
<table><thead><tr><th>type </th><th> n</th></tr></thead><tbody>
|
||
<tr><td>u8 </td><td> 10</td></tr>
|
||
<tr><td>i8 </td><td> 9</td></tr>
|
||
<tr><td>u16 </td><td> 18</td></tr>
|
||
<tr><td>i16 </td><td> 17</td></tr>
|
||
<tr><td>u32 </td><td> 34</td></tr>
|
||
<tr><td>i32 </td><td> 33</td></tr>
|
||
<tr><td>u64 </td><td> 67</td></tr>
|
||
<tr><td>i64 </td><td> 66</td></tr>
|
||
</tbody></table>
|
||
<p>For larger n, consider using a bigint type for <code>T</code>.</p>
|
||
</div></section>
|
||
<section id='search' class="content hidden"></section>
|
||
|
||
<section class="footer"></section>
|
||
|
||
<aside id="help" class="hidden">
|
||
<div>
|
||
<h1 class="hidden">Help</h1>
|
||
|
||
<div class="shortcuts">
|
||
<h2>Keyboard Shortcuts</h2>
|
||
|
||
<dl>
|
||
<dt><kbd>?</kbd></dt>
|
||
<dd>Show this help dialog</dd>
|
||
<dt><kbd>S</kbd></dt>
|
||
<dd>Focus the search field</dd>
|
||
<dt><kbd>↑</kbd></dt>
|
||
<dd>Move up in search results</dd>
|
||
<dt><kbd>↓</kbd></dt>
|
||
<dd>Move down in search results</dd>
|
||
<dt><kbd>↹</kbd></dt>
|
||
<dd>Switch tab</dd>
|
||
<dt><kbd>⏎</kbd></dt>
|
||
<dd>Go to active search result</dd>
|
||
<dt><kbd>+</kbd></dt>
|
||
<dd>Expand all sections</dd>
|
||
<dt><kbd>-</kbd></dt>
|
||
<dd>Collapse all sections</dd>
|
||
</dl>
|
||
</div>
|
||
|
||
<div class="infos">
|
||
<h2>Search Tricks</h2>
|
||
|
||
<p>
|
||
Prefix searches with a type followed by a colon (e.g.
|
||
<code>fn:</code>) to restrict the search to a given type.
|
||
</p>
|
||
|
||
<p>
|
||
Accepted types are: <code>fn</code>, <code>mod</code>,
|
||
<code>struct</code>, <code>enum</code>,
|
||
<code>trait</code>, <code>type</code>, <code>macro</code>,
|
||
and <code>const</code>.
|
||
</p>
|
||
|
||
<p>
|
||
Search functions by type signature (e.g.
|
||
<code>vec -> usize</code> or <code>* -> vec</code>)
|
||
</p>
|
||
</div>
|
||
</div>
|
||
</aside>
|
||
|
||
|
||
|
||
<script>
|
||
window.rootPath = "../";
|
||
window.currentCrate = "num_integer";
|
||
</script>
|
||
<script src="../main.js"></script>
|
||
<script defer src="../search-index.js"></script>
|
||
</body>
|
||
</html> |