Google Git
Sign in
fuchsia / third_party / rust-mirrors / rand / upstream/gh-pages / . / src / libm / math / expm1.rs.html
blob: 764f7352026969d3ecb6bafaeabc918c0195043d [file] [log] [blame]
<!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 `&#x2F;home&#x2F;runner&#x2F;.cargo&#x2F;registry&#x2F;src&#x2F;github.com-1ecc6299db9ec823&#x2F;libm-0.2.1&#x2F;src&#x2F;math&#x2F;expm1.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>expm1.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" 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><script defer src="../../../source-script.js"></script><script defer src="../../../source-files.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"><div class="sidebar-menu" role="button">&#9776;</div><a class="sidebar-logo" href="../../../libm/index.html"><div class="logo-container"><img class="rust-logo" src="../../../rust-logo.png" alt="logo"></div>
</a></nav><main><div class="width-limiter"><div class="sub-container"><a class="sub-logo-container" href="../../../libm/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>
<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"><div class="example-wrap"><pre class="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>
<span id="40"> 40</span>
<span id="41"> 41</span>
<span id="42"> 42</span>
<span id="43"> 43</span>
<span id="44"> 44</span>
<span id="45"> 45</span>
<span id="46"> 46</span>
<span id="47"> 47</span>
<span id="48"> 48</span>
<span id="49"> 49</span>
<span id="50"> 50</span>
<span id="51"> 51</span>
<span id="52"> 52</span>
<span id="53"> 53</span>
<span id="54"> 54</span>
<span id="55"> 55</span>
<span id="56"> 56</span>
<span id="57"> 57</span>
<span id="58"> 58</span>
<span id="59"> 59</span>
<span id="60"> 60</span>
<span id="61"> 61</span>
<span id="62"> 62</span>
<span id="63"> 63</span>
<span id="64"> 64</span>
<span id="65"> 65</span>
<span id="66"> 66</span>
<span id="67"> 67</span>
<span id="68"> 68</span>
<span id="69"> 69</span>
<span id="70"> 70</span>
<span id="71"> 71</span>
<span id="72"> 72</span>
<span id="73"> 73</span>
<span id="74"> 74</span>
<span id="75"> 75</span>
<span id="76"> 76</span>
<span id="77"> 77</span>
<span id="78"> 78</span>
<span id="79"> 79</span>
<span id="80"> 80</span>
<span id="81"> 81</span>
<span id="82"> 82</span>
<span id="83"> 83</span>
<span id="84"> 84</span>
<span id="85"> 85</span>
<span id="86"> 86</span>
<span id="87"> 87</span>
<span id="88"> 88</span>
<span id="89"> 89</span>
<span id="90"> 90</span>
<span id="91"> 91</span>
<span id="92"> 92</span>
<span id="93"> 93</span>
<span id="94"> 94</span>
<span id="95"> 95</span>
<span id="96"> 96</span>
<span id="97"> 97</span>
<span id="98"> 98</span>
<span id="99"> 99</span>
<span id="100">100</span>
<span id="101">101</span>
<span id="102">102</span>
<span id="103">103</span>
<span id="104">104</span>
<span id="105">105</span>
<span id="106">106</span>
<span id="107">107</span>
<span id="108">108</span>
<span id="109">109</span>
<span id="110">110</span>
<span id="111">111</span>
<span id="112">112</span>
<span id="113">113</span>
<span id="114">114</span>
<span id="115">115</span>
<span id="116">116</span>
<span id="117">117</span>
<span id="118">118</span>
<span id="119">119</span>
<span id="120">120</span>
<span id="121">121</span>
<span id="122">122</span>
<span id="123">123</span>
<span id="124">124</span>
<span id="125">125</span>
<span id="126">126</span>
<span id="127">127</span>
<span id="128">128</span>
<span id="129">129</span>
<span id="130">130</span>
<span id="131">131</span>
<span id="132">132</span>
<span id="133">133</span>
<span id="134">134</span>
<span id="135">135</span>
<span id="136">136</span>
<span id="137">137</span>
<span id="138">138</span>
<span id="139">139</span>
<span id="140">140</span>
<span id="141">141</span>
<span id="142">142</span>
<span id="143">143</span>
<span id="144">144</span>
</pre><pre class="rust"><code><span class="comment">/* origin: FreeBSD /usr/src/lib/msun/src/s_expm1.c */</span>
<span class="comment">/*
* ====================================================
* 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</span> <span class="ident">core::f64</span>;
<span class="kw">const</span> <span class="ident">O_THRESHOLD</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">7.09782712893383973096e+02</span>; <span class="comment">/* 0x40862E42, 0xFEFA39EF */</span>
<span class="kw">const</span> <span class="ident">LN2_HI</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">6.93147180369123816490e-01</span>; <span class="comment">/* 0x3fe62e42, 0xfee00000 */</span>
<span class="kw">const</span> <span class="ident">LN2_LO</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.90821492927058770002e-10</span>; <span class="comment">/* 0x3dea39ef, 0x35793c76 */</span>
<span class="kw">const</span> <span class="ident">INVLN2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.44269504088896338700e+00</span>; <span class="comment">/* 0x3ff71547, 0x652b82fe */</span>
<span class="comment">/* Scaled Q&#39;s: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = x*x/2: */</span>
<span class="kw">const</span> <span class="ident">Q1</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.33333333333331316428e-02</span>; <span class="comment">/* BFA11111 111110F4 */</span>
<span class="kw">const</span> <span class="ident">Q2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.58730158725481460165e-03</span>; <span class="comment">/* 3F5A01A0 19FE5585 */</span>
<span class="kw">const</span> <span class="ident">Q3</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">7.93650757867487942473e-05</span>; <span class="comment">/* BF14CE19 9EAADBB7 */</span>
<span class="kw">const</span> <span class="ident">Q4</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">4.00821782732936239552e-06</span>; <span class="comment">/* 3ED0CFCA 86E65239 */</span>
<span class="kw">const</span> <span class="ident">Q5</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">2.01099218183624371326e-07</span>; <span class="comment">/* BE8AFDB7 6E09C32D */</span>
<span class="doccomment">/// Exponential, base *e*, of x-1 (f64)</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Calculates the exponential of `x` and subtract 1, that is, *e* raised</span>
<span class="doccomment">/// to the power `x` minus 1 (where *e* is the base of the natural</span>
<span class="doccomment">/// system of logarithms, approximately 2.71828).</span>
<span class="doccomment">/// The result is accurate even for small values of `x`,</span>
<span class="doccomment">/// where using `exp(x)-1` would lose many significant digits.</span>
<span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">all</span>(<span class="ident">test</span>, <span class="ident">assert_no_panic</span>), <span class="ident">no_panic::no_panic</span>)]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">expm1</span>(<span class="kw-2">mut</span> <span class="ident">x</span>: <span class="ident">f64</span>) -&gt; <span class="ident">f64</span> {
<span class="kw">let</span> <span class="ident">hi</span>: <span class="ident">f64</span>;
<span class="kw">let</span> <span class="ident">lo</span>: <span class="ident">f64</span>;
<span class="kw">let</span> <span class="ident">k</span>: <span class="ident">i32</span>;
<span class="kw">let</span> <span class="ident">c</span>: <span class="ident">f64</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">t</span>: <span class="ident">f64</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">y</span>: <span class="ident">f64</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ui</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">to_bits</span>();
<span class="kw">let</span> <span class="ident">hx</span> <span class="op">=</span> ((<span class="ident">ui</span> <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">32</span>) <span class="op">&amp;</span> <span class="number">0x7fffffff</span>) <span class="kw">as</span> <span class="ident">u32</span>;
<span class="kw">let</span> <span class="ident">sign</span> <span class="op">=</span> (<span class="ident">ui</span> <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">63</span>) <span class="kw">as</span> <span class="ident">i32</span>;
<span class="comment">/* filter out huge and non-finite argument */</span>
<span class="kw">if</span> <span class="ident">hx</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0x4043687A</span> {
<span class="comment">/* if |x|&gt;=56*ln2 */</span>
<span class="kw">if</span> <span class="ident">x</span>.<span class="ident">is_nan</span>() {
<span class="kw">return</span> <span class="ident">x</span>;
}
<span class="kw">if</span> <span class="ident">sign</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="kw">return</span> <span class="op">-</span><span class="number">1.0</span>;
}
<span class="kw">if</span> <span class="ident">x</span> <span class="op">&gt;</span> <span class="ident">O_THRESHOLD</span> {
<span class="ident">x</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">f64::from_bits</span>(<span class="number">0x7fe0000000000000</span>);
<span class="kw">return</span> <span class="ident">x</span>;
}
}
<span class="comment">/* argument reduction */</span>
<span class="kw">if</span> <span class="ident">hx</span> <span class="op">&gt;</span> <span class="number">0x3fd62e42</span> {
<span class="comment">/* if |x| &gt; 0.5 ln2 */</span>
<span class="kw">if</span> <span class="ident">hx</span> <span class="op">&lt;</span> <span class="number">0x3FF0A2B2</span> {
<span class="comment">/* and |x| &lt; 1.5 ln2 */</span>
<span class="kw">if</span> <span class="ident">sign</span> <span class="op">==</span> <span class="number">0</span> {
<span class="ident">hi</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">-</span> <span class="ident">LN2_HI</span>;
<span class="ident">lo</span> <span class="op">=</span> <span class="ident">LN2_LO</span>;
<span class="ident">k</span> <span class="op">=</span> <span class="number">1</span>;
} <span class="kw">else</span> {
<span class="ident">hi</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">+</span> <span class="ident">LN2_HI</span>;
<span class="ident">lo</span> <span class="op">=</span> <span class="op">-</span><span class="ident">LN2_LO</span>;
<span class="ident">k</span> <span class="op">=</span> <span class="op">-</span><span class="number">1</span>;
}
} <span class="kw">else</span> {
<span class="ident">k</span> <span class="op">=</span> (<span class="ident">INVLN2</span> <span class="op">*</span> <span class="ident">x</span> <span class="op">+</span> <span class="kw">if</span> <span class="ident">sign</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> { <span class="op">-</span><span class="number">0.5</span> } <span class="kw">else</span> { <span class="number">0.5</span> }) <span class="kw">as</span> <span class="ident">i32</span>;
<span class="ident">t</span> <span class="op">=</span> <span class="ident">k</span> <span class="kw">as</span> <span class="ident">f64</span>;
<span class="ident">hi</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">-</span> <span class="ident">t</span> <span class="op">*</span> <span class="ident">LN2_HI</span>; <span class="comment">/* t*ln2_hi is exact here */</span>
<span class="ident">lo</span> <span class="op">=</span> <span class="ident">t</span> <span class="op">*</span> <span class="ident">LN2_LO</span>;
}
<span class="ident">x</span> <span class="op">=</span> <span class="ident">hi</span> <span class="op">-</span> <span class="ident">lo</span>;
<span class="ident">c</span> <span class="op">=</span> (<span class="ident">hi</span> <span class="op">-</span> <span class="ident">x</span>) <span class="op">-</span> <span class="ident">lo</span>;
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">hx</span> <span class="op">&lt;</span> <span class="number">0x3c900000</span> {
<span class="comment">/* |x| &lt; 2**-54, return x */</span>
<span class="kw">if</span> <span class="ident">hx</span> <span class="op">&lt;</span> <span class="number">0x00100000</span> {
<span class="macro">force_eval!</span>(<span class="ident">x</span>);
}
<span class="kw">return</span> <span class="ident">x</span>;
} <span class="kw">else</span> {
<span class="ident">c</span> <span class="op">=</span> <span class="number">0.0</span>;
<span class="ident">k</span> <span class="op">=</span> <span class="number">0</span>;
}
<span class="comment">/* x is now in primary range */</span>
<span class="kw">let</span> <span class="ident">hfx</span> <span class="op">=</span> <span class="number">0.5</span> <span class="op">*</span> <span class="ident">x</span>;
<span class="kw">let</span> <span class="ident">hxs</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">*</span> <span class="ident">hfx</span>;
<span class="kw">let</span> <span class="ident">r1</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">+</span> <span class="ident">hxs</span> <span class="op">*</span> (<span class="ident">Q1</span> <span class="op">+</span> <span class="ident">hxs</span> <span class="op">*</span> (<span class="ident">Q2</span> <span class="op">+</span> <span class="ident">hxs</span> <span class="op">*</span> (<span class="ident">Q3</span> <span class="op">+</span> <span class="ident">hxs</span> <span class="op">*</span> (<span class="ident">Q4</span> <span class="op">+</span> <span class="ident">hxs</span> <span class="op">*</span> <span class="ident">Q5</span>))));
<span class="ident">t</span> <span class="op">=</span> <span class="number">3.0</span> <span class="op">-</span> <span class="ident">r1</span> <span class="op">*</span> <span class="ident">hfx</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">e</span> <span class="op">=</span> <span class="ident">hxs</span> <span class="op">*</span> ((<span class="ident">r1</span> <span class="op">-</span> <span class="ident">t</span>) <span class="op">/</span> (<span class="number">6.0</span> <span class="op">-</span> <span class="ident">x</span> <span class="op">*</span> <span class="ident">t</span>));
<span class="kw">if</span> <span class="ident">k</span> <span class="op">==</span> <span class="number">0</span> {
<span class="comment">/* c is 0 */</span>
<span class="kw">return</span> <span class="ident">x</span> <span class="op">-</span> (<span class="ident">x</span> <span class="op">*</span> <span class="ident">e</span> <span class="op">-</span> <span class="ident">hxs</span>);
}
<span class="ident">e</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">*</span> (<span class="ident">e</span> <span class="op">-</span> <span class="ident">c</span>) <span class="op">-</span> <span class="ident">c</span>;
<span class="ident">e</span> <span class="op">-</span><span class="op">=</span> <span class="ident">hxs</span>;
<span class="comment">/* exp(x) ~ 2^k (x_reduced - e + 1) */</span>
<span class="kw">if</span> <span class="ident">k</span> <span class="op">==</span> <span class="op">-</span><span class="number">1</span> {
<span class="kw">return</span> <span class="number">0.5</span> <span class="op">*</span> (<span class="ident">x</span> <span class="op">-</span> <span class="ident">e</span>) <span class="op">-</span> <span class="number">0.5</span>;
}
<span class="kw">if</span> <span class="ident">k</span> <span class="op">==</span> <span class="number">1</span> {
<span class="kw">if</span> <span class="ident">x</span> <span class="op">&lt;</span> <span class="op">-</span><span class="number">0.25</span> {
<span class="kw">return</span> <span class="op">-</span><span class="number">2.0</span> <span class="op">*</span> (<span class="ident">e</span> <span class="op">-</span> (<span class="ident">x</span> <span class="op">+</span> <span class="number">0.5</span>));
}
<span class="kw">return</span> <span class="number">1.0</span> <span class="op">+</span> <span class="number">2.0</span> <span class="op">*</span> (<span class="ident">x</span> <span class="op">-</span> <span class="ident">e</span>);
}
<span class="ident">ui</span> <span class="op">=</span> ((<span class="number">0x3ff</span> <span class="op">+</span> <span class="ident">k</span>) <span class="kw">as</span> <span class="ident">u64</span>) <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">52</span>; <span class="comment">/* 2^k */</span>
<span class="kw">let</span> <span class="ident">twopk</span> <span class="op">=</span> <span class="ident">f64::from_bits</span>(<span class="ident">ui</span>);
<span class="kw">if</span> <span class="ident">k</span> <span class="op">&lt;</span> <span class="number">0</span> <span class="op">|</span><span class="op">|</span> <span class="ident">k</span> <span class="op">&gt;</span> <span class="number">56</span> {
<span class="comment">/* suffice to return exp(x)-1 */</span>
<span class="ident">y</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">-</span> <span class="ident">e</span> <span class="op">+</span> <span class="number">1.0</span>;
<span class="kw">if</span> <span class="ident">k</span> <span class="op">==</span> <span class="number">1024</span> {
<span class="ident">y</span> <span class="op">=</span> <span class="ident">y</span> <span class="op">*</span> <span class="number">2.0</span> <span class="op">*</span> <span class="ident">f64::from_bits</span>(<span class="number">0x7fe0000000000000</span>);
} <span class="kw">else</span> {
<span class="ident">y</span> <span class="op">=</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">twopk</span>;
}
<span class="kw">return</span> <span class="ident">y</span> <span class="op">-</span> <span class="number">1.0</span>;
}
<span class="ident">ui</span> <span class="op">=</span> ((<span class="number">0x3ff</span> <span class="op">-</span> <span class="ident">k</span>) <span class="kw">as</span> <span class="ident">u64</span>) <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">52</span>; <span class="comment">/* 2^-k */</span>
<span class="kw">let</span> <span class="ident">uf</span> <span class="op">=</span> <span class="ident">f64::from_bits</span>(<span class="ident">ui</span>);
<span class="kw">if</span> <span class="ident">k</span> <span class="op">&lt;</span> <span class="number">20</span> {
<span class="ident">y</span> <span class="op">=</span> (<span class="ident">x</span> <span class="op">-</span> <span class="ident">e</span> <span class="op">+</span> (<span class="number">1.0</span> <span class="op">-</span> <span class="ident">uf</span>)) <span class="op">*</span> <span class="ident">twopk</span>;
} <span class="kw">else</span> {
<span class="ident">y</span> <span class="op">=</span> (<span class="ident">x</span> <span class="op">-</span> (<span class="ident">e</span> <span class="op">+</span> <span class="ident">uf</span>) <span class="op">+</span> <span class="number">1.0</span>) <span class="op">*</span> <span class="ident">twopk</span>;
}
<span class="ident">y</span>
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">mod</span> <span class="ident">tests</span> {
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">sanity_check</span>() {
<span class="macro">assert_eq!</span>(<span class="ident"><span class="kw">super</span>::expm1</span>(<span class="number">1.1</span>), <span class="number">2.0041660239464334</span>);
}
}
</code></pre></div>
</section><section id="search" class="content hidden"></section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-current-crate="libm" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.60.0-nightly (1bd4fdc94 2022-01-12)" ></div>
</body></html>