| <!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 `/root/.cargo/registry/src/github.com-1ecc6299db9ec823/libm-0.2.7/src/math/asinhf.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>asinhf.rs - source</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" href="../../../normalize.css"><link rel="stylesheet" href="../../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../../ayu.css" disabled><link rel="stylesheet" href="../../../dark.css" disabled><link rel="stylesheet" href="../../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../../storage.js"></script><script defer src="../../../source-script.js"></script><script defer src="../../../source-files.js"></script><script defer src="../../../main.js"></script><noscript><link rel="stylesheet" href="../../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../../favicon.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"><a class="sidebar-logo" href="../../../libm/index.html"><div class="logo-container"><img class="rust-logo" src="../../../rust-logo.svg" alt="logo"></div></a></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../../libm/index.html"><img class="rust-logo" src="../../../rust-logo.svg" alt="logo"></a><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" 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="../../../wheel.svg"></a></div></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><span id="1">1</span> |
| <span id="2">2</span> |
| <span id="3">3</span> |
| <span id="4">4</span> |
| <span id="5">5</span> |
| <span id="6">6</span> |
| <span id="7">7</span> |
| <span id="8">8</span> |
| <span id="9">9</span> |
| <span id="10">10</span> |
| <span id="11">11</span> |
| <span id="12">12</span> |
| <span id="13">13</span> |
| <span id="14">14</span> |
| <span id="15">15</span> |
| <span id="16">16</span> |
| <span id="17">17</span> |
| <span id="18">18</span> |
| <span id="19">19</span> |
| <span id="20">20</span> |
| <span id="21">21</span> |
| <span id="22">22</span> |
| <span id="23">23</span> |
| <span id="24">24</span> |
| <span id="25">25</span> |
| <span id="26">26</span> |
| <span id="27">27</span> |
| <span id="28">28</span> |
| <span id="29">29</span> |
| <span id="30">30</span> |
| <span id="31">31</span> |
| <span id="32">32</span> |
| <span id="33">33</span> |
| <span id="34">34</span> |
| <span id="35">35</span> |
| <span id="36">36</span> |
| <span id="37">37</span> |
| <span id="38">38</span> |
| <span id="39">39</span> |
| </pre><pre class="rust"><code><span class="kw">use super</span>::{log1pf, logf, sqrtf}; |
| |
| <span class="kw">const </span>LN2: f32 = <span class="number">0.693147180559945309417232121458176568</span>; |
| |
| <span class="comment">/* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */ |
| </span><span class="doccomment">/// Inverse hyperbolic sine (f32) |
| /// |
| /// Calculates the inverse hyperbolic sine of `x`. |
| /// Is defined as `sgn(x)*log(|x|+sqrt(x*x+1))`. |
| </span><span class="attribute">#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)] |
| </span><span class="kw">pub fn </span>asinhf(<span class="kw-2">mut </span>x: f32) -> f32 { |
| <span class="kw">let </span>u = x.to_bits(); |
| <span class="kw">let </span>i = u & <span class="number">0x7fffffff</span>; |
| <span class="kw">let </span>sign = (u >> <span class="number">31</span>) != <span class="number">0</span>; |
| |
| <span class="comment">/* |x| */ |
| </span>x = f32::from_bits(i); |
| |
| <span class="kw">if </span>i >= <span class="number">0x3f800000 </span>+ (<span class="number">12 </span><< <span class="number">23</span>) { |
| <span class="comment">/* |x| >= 0x1p12 or inf or nan */ |
| </span>x = logf(x) + LN2; |
| } <span class="kw">else if </span>i >= <span class="number">0x3f800000 </span>+ (<span class="number">1 </span><< <span class="number">23</span>) { |
| <span class="comment">/* |x| >= 2 */ |
| </span>x = logf(<span class="number">2.0 </span>* x + <span class="number">1.0 </span>/ (sqrtf(x * x + <span class="number">1.0</span>) + x)); |
| } <span class="kw">else if </span>i >= <span class="number">0x3f800000 </span>- (<span class="number">12 </span><< <span class="number">23</span>) { |
| <span class="comment">/* |x| >= 0x1p-12, up to 1.6ulp error in [0.125,0.5] */ |
| </span>x = log1pf(x + x * x / (sqrtf(x * x + <span class="number">1.0</span>) + <span class="number">1.0</span>)); |
| } <span class="kw">else </span>{ |
| <span class="comment">/* |x| < 0x1p-12, raise inexact if x!=0 */ |
| </span><span class="kw">let </span>x1p120 = f32::from_bits(<span class="number">0x7b800000</span>); |
| <span class="macro">force_eval!</span>(x + x1p120); |
| } |
| |
| <span class="kw">if </span>sign { |
| -x |
| } <span class="kw">else </span>{ |
| x |
| } |
| } |
| </code></pre></div> |
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