20 lines
5.3 KiB
HTML
20 lines
5.3 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="Calculate the binomial coefficient."><meta name="keywords" content="rust, rustlang, rust-lang, binomial"><title>binomial in num_integer - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../SourceCodePro-Semibold.ttf.woff2"><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="../ayu.css" disabled><link rel="stylesheet" type="text/css" href="../dark.css" disabled><link rel="stylesheet" type="text/css" href="../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../storage.js"></script><script src="../crates.js"></script><script defer src="../main.js"></script>
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</a><div class="sidebar-elems"><h2 class="location">Other items in<br><a href="index.html">num_integer</a></h2><div id="sidebar-vars" data-name="binomial" data-ty="fn" data-relpath=""></div><script defer src="sidebar-items.js"></script></div></nav><main><div class="width-limiter"><div class="sub-container"><a class="sub-logo-container" href="../num_integer/index.html"><img class="rust-logo" src="../rust-logo.png" alt="logo"></a><nav class="sub"><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="18" height="18" alt="Pick another theme!" src="../brush.svg"></button><div id="theme-choices" role="menu"></div></div><form class="search-form"><div class="search-container"><div><select id="crate-search"><option value="All crates">All crates</option></select><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"></div><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../settings.html" title="settings"><img width="18" height="18" alt="Change settings" src="../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><h1 class="fqn"><span class="in-band">Function <a href="index.html">num_integer</a>::<wbr><a class="fn" href="#">binomial</a><button id="copy-path" onclick="copy_path(this)" title="Copy item path to clipboard"><img src="../clipboard.svg" width="19" height="18" alt="Copy item path"></button></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#1105-1124" title="goto source code">[src]</a></span></h1><div class="docblock item-decl"><pre class="rust fn"><code>pub fn binomial<T: <a class="trait" href="trait.Integer.html" title="trait num_integer::Integer">Integer</a> + <a class="trait" href="https://doc.rust-lang.org/1.59.0/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>>(n: T, k: T) -> T</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Calculate the binomial coefficient.</p>
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<p>Note that this might overflow, depending on <code>T</code>. For the primitive integer
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types, the following n are the largest ones possible such that there will
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be no overflow for any k:</p>
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<div><table><thead><tr><th>type</th><th>n</th></tr></thead><tbody>
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<tr><td>u8</td><td>10</td></tr>
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<tr><td>i8</td><td>9</td></tr>
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<tr><td>u16</td><td>18</td></tr>
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<tr><td>i16</td><td>17</td></tr>
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<tr><td>u32</td><td>34</td></tr>
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<tr><td>i32</td><td>33</td></tr>
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<tr><td>u64</td><td>67</td></tr>
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<tr><td>i64</td><td>66</td></tr>
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</tbody></table>
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</div>
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<p>For larger n, consider using a bigint type for <code>T</code>.</p>
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