<!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 of the Rust file `/Users/erlendbasso/.cargo/registry/src/github.com-1ecc6299db9ec823/libm-0.2.6/src/math/cos.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>cos.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-1f7d512b176f0f72.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-124a1ca42af929b6.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-6827029ac823cab7.css" id="mainThemeStyle"><link rel="stylesheet" id="themeStyle" href="../../../static.files/light-ebce58d0a40c3431.css"><link rel="stylesheet" disabled href="../../../static.files/dark-f23faae4a2daf9a6.css"><link rel="stylesheet" disabled href="../../../static.files/ayu-8af5e100b21cd173.css"><script id="default-settings" ></script><script src="../../../static.files/storage-d43fa987303ecbbb.js"></script><script defer src="../../../static.files/source-script-5cf2e01a42cc9858.js"></script><script defer src="../../../source-files.js"></script><script defer src="../../../static.files/main-c55e1eb52e1886b4.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-2c020d218678b618.svg"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../../libm/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-5ec35bf9ca753509.svg"></a></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><a href="#1" id="1">1</a>
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</pre><pre class="rust"><code><span class="comment">// origin: FreeBSD /usr/src/lib/msun/src/s_cos.c */
//
// ====================================================
// Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
//
// Developed at SunPro, a Sun Microsystems, Inc. business.
// Permission to use, copy, modify, and distribute this
// software is freely granted, provided that this notice
// is preserved.
// ====================================================
</span><span class="kw">use super</span>::{k_cos, k_sin, rem_pio2};
<span class="comment">// cos(x)
// Return cosine function of x.
//
// kernel function:
// k_sin ... sine function on [-pi/4,pi/4]
// k_cos ... cosine function on [-pi/4,pi/4]
// rem_pio2 ... argument reduction routine
//
// Method.
// Let S,C and T denote the sin, cos and tan respectively on
// [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
// in [-pi/4 , +pi/4], and let n = k mod 4.
// We have
//
// n sin(x) cos(x) tan(x)
// ----------------------------------------------------------
// 0 S C T
// 1 C -S -1/T
// 2 -S -C T
// 3 -C S -1/T
// ----------------------------------------------------------
//
// Special cases:
// Let trig be any of sin, cos, or tan.
// trig(+-INF) is NaN, with signals;
// trig(NaN) is that NaN;
//
// Accuracy:
// TRIG(x) returns trig(x) nearly rounded
//
</span><span class="attr">#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)]
</span><span class="kw">pub fn </span>cos(x: f64) -> f64 {
<span class="kw">let </span>ix = (f64::to_bits(x) >> <span class="number">32</span>) <span class="kw">as </span>u32 & <span class="number">0x7fffffff</span>;
<span class="comment">/* |x| ~< pi/4 */
</span><span class="kw">if </span>ix <= <span class="number">0x3fe921fb </span>{
<span class="kw">if </span>ix < <span class="number">0x3e46a09e </span>{
<span class="comment">/* if x < 2**-27 * sqrt(2) */
/* raise inexact if x != 0 */
</span><span class="kw">if </span>x <span class="kw">as </span>i32 == <span class="number">0 </span>{
<span class="kw">return </span><span class="number">1.0</span>;
}
}
<span class="kw">return </span>k_cos(x, <span class="number">0.0</span>);
}
<span class="comment">/* cos(Inf or NaN) is NaN */
</span><span class="kw">if </span>ix >= <span class="number">0x7ff00000 </span>{
<span class="kw">return </span>x - x;
}
<span class="comment">/* argument reduction needed */
</span><span class="kw">let </span>(n, y0, y1) = rem_pio2(x);
<span class="kw">match </span>n & <span class="number">3 </span>{
<span class="number">0 </span>=> k_cos(y0, y1),
<span class="number">1 </span>=> -k_sin(y0, y1, <span class="number">1</span>),
<span class="number">2 </span>=> -k_cos(y0, y1),
<span class="kw">_ </span>=> k_sin(y0, y1, <span class="number">1</span>),
}
}
</code></pre></div>
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