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<!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/atan2f.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>atan2f.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>
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</pre><pre class="rust"><code><span class="comment">/* origin: FreeBSD /usr/src/lib/msun/src/e_atan2f.c */
/*
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* 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="kw">super</span>::atanf;
<span class="kw">use </span><span class="kw">super</span>::fabsf;
<span class="kw">const </span>PI: f32 = <span class="number">3.1415927410e+00</span>; <span class="comment">/* 0x40490fdb */
</span><span class="kw">const </span>PI_LO: f32 = -<span class="number">8.7422776573e-08</span>; <span class="comment">/* 0xb3bbbd2e */
</span><span class="doccomment">/// Arctangent of y/x (f32)
///
/// Computes the inverse tangent (arc tangent) of `y/x`.
/// Produces the correct result even for angles near pi/2 or -pi/2 (that is, when `x` is near 0).
/// Returns a value in radians, in the range of -pi to pi.
</span><span class="attribute">#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)]
</span><span class="kw">pub fn </span>atan2f(y: f32, x: f32) -&gt; f32 {
<span class="kw">if </span>x.is_nan() || y.is_nan() {
<span class="kw">return </span>x + y;
}
<span class="kw">let </span><span class="kw-2">mut </span>ix = x.to_bits();
<span class="kw">let </span><span class="kw-2">mut </span>iy = y.to_bits();
<span class="kw">if </span>ix == <span class="number">0x3f800000 </span>{
<span class="comment">/* x=1.0 */
</span><span class="kw">return </span>atanf(y);
}
<span class="kw">let </span>m = ((iy &gt;&gt; <span class="number">31</span>) &amp; <span class="number">1</span>) | ((ix &gt;&gt; <span class="number">30</span>) &amp; <span class="number">2</span>); <span class="comment">/* 2*sign(x)+sign(y) */
</span>ix &amp;= <span class="number">0x7fffffff</span>;
iy &amp;= <span class="number">0x7fffffff</span>;
<span class="comment">/* when y = 0 */
</span><span class="kw">if </span>iy == <span class="number">0 </span>{
<span class="kw">return match </span>m {
<span class="number">0 </span>| <span class="number">1 </span>=&gt; y, <span class="comment">/* atan(+-0,+anything)=+-0 */
</span><span class="number">2 </span>=&gt; PI, <span class="comment">/* atan(+0,-anything) = pi */
</span><span class="number">3 </span>| <span class="kw">_ </span>=&gt; -PI, <span class="comment">/* atan(-0,-anything) =-pi */
</span>};
}
<span class="comment">/* when x = 0 */
</span><span class="kw">if </span>ix == <span class="number">0 </span>{
<span class="kw">return if </span>m &amp; <span class="number">1 </span>!= <span class="number">0 </span>{ -PI / <span class="number">2. </span>} <span class="kw">else </span>{ PI / <span class="number">2. </span>};
}
<span class="comment">/* when x is INF */
</span><span class="kw">if </span>ix == <span class="number">0x7f800000 </span>{
<span class="kw">return if </span>iy == <span class="number">0x7f800000 </span>{
<span class="kw">match </span>m {
<span class="number">0 </span>=&gt; PI / <span class="number">4.</span>, <span class="comment">/* atan(+INF,+INF) */
</span><span class="number">1 </span>=&gt; -PI / <span class="number">4.</span>, <span class="comment">/* atan(-INF,+INF) */
</span><span class="number">2 </span>=&gt; <span class="number">3. </span>* PI / <span class="number">4.</span>, <span class="comment">/* atan(+INF,-INF)*/
</span><span class="number">3 </span>| <span class="kw">_ </span>=&gt; -<span class="number">3. </span>* PI / <span class="number">4.</span>, <span class="comment">/* atan(-INF,-INF)*/
</span>}
} <span class="kw">else </span>{
<span class="kw">match </span>m {
<span class="number">0 </span>=&gt; <span class="number">0.</span>, <span class="comment">/* atan(+...,+INF) */
</span><span class="number">1 </span>=&gt; -<span class="number">0.</span>, <span class="comment">/* atan(-...,+INF) */
</span><span class="number">2 </span>=&gt; PI, <span class="comment">/* atan(+...,-INF) */
</span><span class="number">3 </span>| <span class="kw">_ </span>=&gt; -PI, <span class="comment">/* atan(-...,-INF) */
</span>}
};
}
<span class="comment">/* |y/x| &gt; 0x1p26 */
</span><span class="kw">if </span>(ix + (<span class="number">26 </span>&lt;&lt; <span class="number">23</span>) &lt; iy) || (iy == <span class="number">0x7f800000</span>) {
<span class="kw">return if </span>m &amp; <span class="number">1 </span>!= <span class="number">0 </span>{ -PI / <span class="number">2. </span>} <span class="kw">else </span>{ PI / <span class="number">2. </span>};
}
<span class="comment">/* z = atan(|y/x|) with correct underflow */
</span><span class="kw">let </span>z = <span class="kw">if </span>(m &amp; <span class="number">2 </span>!= <span class="number">0</span>) &amp;&amp; (iy + (<span class="number">26 </span>&lt;&lt; <span class="number">23</span>) &lt; ix) {
<span class="comment">/*|y/x| &lt; 0x1p-26, x &lt; 0 */
</span><span class="number">0.
</span>} <span class="kw">else </span>{
atanf(fabsf(y / x))
};
<span class="kw">match </span>m {
<span class="number">0 </span>=&gt; z, <span class="comment">/* atan(+,+) */
</span><span class="number">1 </span>=&gt; -z, <span class="comment">/* atan(-,+) */
</span><span class="number">2 </span>=&gt; PI - (z - PI_LO), <span class="comment">/* atan(+,-) */
</span><span class="kw">_ </span>=&gt; (z - PI_LO) - PI, <span class="comment">/* case 3 */ /* atan(-,-) */
</span>}
}
</code></pre></div>
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