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authorPeter Bengtsson <mail@peterbe.com>2020-12-08 14:40:17 -0500
committerPeter Bengtsson <mail@peterbe.com>2020-12-08 14:40:17 -0500
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+---
+title: Math.asinh()
+slug: Web/JavaScript/Reference/Global_Objects/Math/asinh
+translation_of: Web/JavaScript/Reference/Global_Objects/Math/asinh
+---
+<div>{{JSRef}}</div>
+
+<p><strong><code>Math.asinh()</code></strong> 返回一个数值的反双曲正弦值,即:</p>
+
+<p><math display="block"><semantics><mrow><mstyle mathvariant="monospace"><mrow><mo lspace="0em" rspace="thinmathspace">Math.asinh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></mstyle><mo>=</mo><mo lspace="0em" rspace="thinmathspace">arsinh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mtext> the unique </mtext><mspace width="thickmathspace"></mspace><mi>y</mi><mspace width="thickmathspace"></mspace><mtext>such that</mtext><mspace width="thickmathspace"></mspace><mo lspace="0em" rspace="0em">sinh</mo><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo>=</mo><mi>x</mi></mrow><annotation encoding="TeX">\mathtt{\operatorname{Math.asinh}(x)} = \operatorname{arsinh}(x) = \text{ the unique } \; y \; \text{such that} \; \sinh(y) = x</annotation></semantics></math></p>
+
+<div>{{EmbedInteractiveExample("pages/js/math-asinh.html")}}</div>
+
+
+
+<h2 id="语法">语法</h2>
+
+<pre class="syntaxbox"><code>Math.asinh(<var>x</var>)</code></pre>
+
+<h3 id="参数">参数</h3>
+
+<dl>
+ <dt><code>x</code></dt>
+ <dd>一个数值.</dd>
+</dl>
+
+<h3 id="返回值">返回值</h3>
+
+<p>返回指定数值的反双曲正弦值.</p>
+
+<h2 id="描述">描述</h2>
+
+<p>由于 <code>asinh()</code> 是 <code>Math 的静态方法</code>,所以应该像这样使用:<code>Math.asinh()</code>,而不是作为你创建的 <code>Math</code> 实例的方法(<code>Math 不是一个构造函数</code>)。</p>
+
+<h2 id="示例">示例</h2>
+
+<h3 id="使用_Math.asinh">    使用 <code>Math.asinh()</code></h3>
+
+<pre class="brush: js">Math.asinh(1); // 0.881373587019543
+Math.asinh(0); // 0
+</pre>
+
+<h2 id="Polyfill">Polyfill</h2>
+
+<p>As a quick and dirty hack the expression <math><semantics><mrow><mo lspace="0em" rspace="thinmathspace">arsinh</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mo lspace="0em" rspace="0em">ln</mo><mrow><mo>(</mo><mrow><mi>x</mi><mo>+</mo><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></mrow></msqrt></mrow><mo>)</mo></mrow></mrow><annotation encoding="TeX">\operatorname {arsinh} (x) = \ln \left(x + \sqrt{x^{2} + 1} \right)</annotation></semantics></math> may be used directly for a coarse emulation by the following function:</p>
+
+<pre class="brush: js">Math.asinh = Math.asinh || function(x) {
+ if (x === -Infinity) {
+ return x;
+ } else {
+ return Math.log(x + Math.sqrt(x * x + 1));
+ }
+};
+</pre>
+
+<p>Been formally correct it suffers from a number of issues related to floating point computations. Accurate result requires special handling of positive/negative, small/large arguments as it done e.g. in <a href="https://sourceware.org/git/?p=glibc.git;a=blob;f=sysdeps/ieee754/dbl-64/s_asinh.c">glibc</a> or <a href="http://git.savannah.gnu.org/cgit/gsl.git/tree/sys/invhyp.c">GNU Scientific Library</a>.</p>
+
+<h2 id="规范">规范</h2>
+
+<table class="standard-table">
+ <thead>
+ <tr>
+ <th scope="col">Specification</th>
+ </tr>
+ </thead>
+ <tbody>
+ <tr>
+ <td>{{SpecName('ESDraft', '#sec-math.asinh', 'Math.asinh')}}</td>
+ </tr>
+ </tbody>
+</table>
+
+<h2 id="浏览器兼容性">浏览器兼容性</h2>
+
+<p class="hidden">The compatibility table in this page is generated from structured data. If you'd like to contribute to the data, please check out <a href="https://github.com/mdn/browser-compat-data">https://github.com/mdn/browser-compat-data</a> and send us a pull request.</p>
+
+<p>{{Compat("javascript.builtins.Math.asinh")}}</p>
+
+<h2 id="相关链接">相关链接</h2>
+
+<ul>
+ <li>{{jsxref("Math.acosh()")}}</li>
+ <li>{{jsxref("Math.atanh()")}}</li>
+ <li>{{jsxref("Math.cosh()")}}</li>
+ <li>{{jsxref("Math.sinh()")}}</li>
+ <li>{{jsxref("Math.tanh()")}}</li>
+</ul>