devdocs/c/numeric%2Fmath%2Fasinh.html


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    <h1 id="firstHeading" class="firstHeading">asinh, asinhf, asinhl</h1>            <table class="t-dcl-begin"> <tr class="t-dsc-header"> <th> Defined in header <code>&lt;math.h&gt;</code> </th> <th> </th> <th> </th> </tr> <tr class="t-dcl t-since-c99"> <td> <pre data-language="c">float       asinhf( float arg );</pre>
</td> <td> (1) </td> <td> <span class="t-mark-rev t-since-c99">(since C99)</span> </td> </tr> <tr class="t-dcl t-since-c99"> <td> <pre data-language="c">double      asinh( double arg );</pre>
</td> <td> (2) </td> <td> <span class="t-mark-rev t-since-c99">(since C99)</span> </td> </tr> <tr class="t-dcl t-since-c99"> <td> <pre data-language="c">long double asinhl( long double arg );</pre>
</td> <td> (3) </td> <td> <span class="t-mark-rev t-since-c99">(since C99)</span> </td> </tr> <tr class="t-dsc-header"> <th> Defined in header <code>&lt;tgmath.h&gt;</code> </th> <th> </th> <th> </th> </tr> <tr class="t-dcl t-since-c99"> <td> <pre data-language="c">#define asinh( arg )</pre>
</td> <td> (4) </td> <td> <span class="t-mark-rev t-since-c99">(since C99)</span> </td> </tr>  </table> <div class="t-li1">
<span class="t-li">1-3)</span> Computes the inverse hyperbolic sine of <code>arg</code>.</div> <div class="t-li1">
<span class="t-li">4)</span> Type-generic macro: If the argument has type <code>long double</code>, <code>asinhl</code> is called. Otherwise, if the argument has integer type or the type <code>double</code>, <code>asinh</code> is called. Otherwise, <code>asinhf</code> is called. If the argument is complex, then the macro invokes the corresponding complex function (<code><a href="http://en.cppreference.com/w/c/numeric/complex/casinh"><span class="kw802">casinhf</span></a></code>, <code><a href="http://en.cppreference.com/w/c/numeric/complex/casinh"><span class="kw801">casinh</span></a></code>, <code><a href="http://en.cppreference.com/w/c/numeric/complex/casinh"><span class="kw803">casinhl</span></a></code>).</div>  <h3 id="Parameters"> Parameters</h3> <table class="t-par-begin"> <tr class="t-par"> <td> arg </td> <td> - </td> <td> floating point value representing the area of a hyperbolic sector </td>
</tr>
</table> <h3 id="Return_value"> Return value</h3> <p>If no errors occur, the inverse hyperbolic sine of <code>arg</code> (sinh<sup class="t-su">-1</sup>(arg), or arsinh(arg)), is returned.</p>
<p>If a range error occurs due to underflow, the correct result (after rounding) is returned.</p>
<h3 id="Error_handling"> Error handling</h3> <p>Errors are reported as specified in <a href="math_errhandling" title="c/numeric/math/math errhandling"><code>math_errhandling</code></a>.</p>
<p>If the implementation supports IEEE floating-point arithmetic (IEC 60559),</p>
<ul>
<li> if the argument is ±0 or ±∞, it is returned unmodified </li>
<li> if the argument is NaN, NaN is returned </li>
</ul> <h3 id="Notes"> Notes</h3> <p>Although the C standard names this function "arc hyperbolic sine", the inverse functions of the hyperbolic functions are the area functions. Their argument is the area of a hyperbolic sector, not an arc. The correct name is "inverse hyperbolic sine" (used by POSIX) or "area hyperbolic sine".</p>
<h3 id="Example"> Example</h3> <div class="t-example"> <div class="c source-c"><pre data-language="c">#include &lt;stdio.h&gt;
#include &lt;math.h&gt;
 
int main(void)
{
    printf("asinh(1) = %f\nasinh(-1) = %f\n", asinh(1), asinh(-1));
    // special values
    printf("asinh(+0) = %f\nasinh(-0) = %f\n", asinh(0.0), asinh(-0.0));
}</pre></div> <p>Output:</p>
<div class="text source-text"><pre data-language="c">asinh(1) = 0.881374
asinh(-1) = -0.881374
asinh(+0) = 0.000000
asinh(-0) = -0.000000</pre></div> </div> <h3 id="References"> References</h3>  <ul>
<li> C11 standard (ISO/IEC 9899:2011): </li>
<ul>
<li> 7.12.5.2 The asinh functions (p: 240-241) </li>
<li> 7.25 Type-generic math &lt;tgmath.h&gt; (p: 373-375) </li>
<li> F.10.2.2 The asinh functions (p: 520) </li>
</ul>
<li> C99 standard (ISO/IEC 9899:1999): </li>
<ul>
<li> 7.12.5.2 The asinh functions (p: 221) </li>
<li> 7.22 Type-generic math &lt;tgmath.h&gt; (p: 335-337) </li>
<li> F.9.2.2 The asinh functions (p: 457) </li>
</ul>
</ul>           <h3 id="See_also"> See also</h3> <table class="t-dsc-begin"> <tr class="t-dsc"> <td> <div><a href="acosh" title="c/numeric/math/acosh"> <span class="t-lines"><span>acosh</span><span>acoshf</span><span>acoshl</span></span></a></div>
<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div> </td> <td> computes inverse hyperbolic cosine (\({\small\operatorname{arcosh}{x} }\)arcosh(x)) <br> <span class="t-mark">(function)</span>  </td>
</tr> <tr class="t-dsc"> <td> <div><a href="atanh" title="c/numeric/math/atanh"> <span class="t-lines"><span>atanh</span><span>atanhf</span><span>atanhl</span></span></a></div>
<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div> </td> <td> computes inverse hyperbolic tangent (\({\small\operatorname{artanh}{x} }\)artanh(x)) <br> <span class="t-mark">(function)</span>  </td>
</tr> <tr class="t-dsc"> <td> <div><a href="sinh" title="c/numeric/math/sinh"> <span class="t-lines"><span>sinh</span><span>sinhf</span><span>sinhl</span></span></a></div>
<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div> </td> <td> computes hyperbolic sine (\({\small\sinh{x} }\)sinh(x)) <br> <span class="t-mark">(function)</span>  </td>
</tr> <tr class="t-dsc"> <td> <div><a href="../complex/casinh" title="c/numeric/complex/casinh"> <span class="t-lines"><span>casinh</span><span>casinhf</span><span>casinhl</span></span></a></div>
<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div> </td> <td> computes the complex arc hyperbolic sine <br> <span class="t-mark">(function)</span>  </td>
</tr> <tr class="t-dsc"> <td colspan="2"> <span><a href="https://en.cppreference.com/w/cpp/numeric/math/asinh" title="cpp/numeric/math/asinh">C++ documentation</a></span> for <code>asinh</code> </td>
</tr> </table> <h3 id="External_links"> External links</h3> <table> <tr> <td>
<a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/InverseHyperbolicSine.html">Weisstein, Eric W. "Inverse Hyperbolic Sine."</a> From MathWorld — A Wolfram Web Resource. </td>
</tr>
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