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<h3 class="section">8.19 <code>ASINH</code> — Inverse hyperbolic sine function</h3>
<p><a name="index-ASINH-408"></a><a name="index-DASINH-409"></a><a name="index-area-hyperbolic-sine-410"></a><a name="index-inverse-hyperbolic-sine-411"></a><a name="index-hyperbolic-function_002c-sine_002c-inverse-412"></a><a name="index-sine_002c-hyperbolic_002c-inverse-413"></a>
<dl>
<dt><em>Description</em>:<dd><code>ASINH(X)</code> computes the inverse hyperbolic sine of <var>X</var>.
<br><dt><em>Standard</em>:<dd>Fortran 2008 and later
<br><dt><em>Class</em>:<dd>Elemental function
<br><dt><em>Syntax</em>:<dd><code>RESULT = ASINH(X)</code>
<br><dt><em>Arguments</em>:<dd>
<p><table summary=""><tr align="left"><td valign="top" width="15%"><var>X</var> </td><td valign="top" width="70%">The type shall be <code>REAL</code> or <code>COMPLEX</code>.
<br></td></tr></table>
<br><dt><em>Return value</em>:<dd>The return value is of the same type and kind as <var>X</var>. If <var>X</var> is
complex, the imaginary part of the result is in radians and lies between
-\pi/2 \leq \Im \asinh(x) \leq \pi/2.
<br><dt><em>Example</em>:<dd>
<pre class="smallexample"> PROGRAM test_asinh
REAL(8), DIMENSION(3) :: x = (/ -1.0, 0.0, 1.0 /)
WRITE (*,*) ASINH(x)
END PROGRAM
</pre>
<br><dt><em>Specific names</em>:<dd>
<p><table summary=""><tr align="left"><td valign="top" width="20%">Name </td><td valign="top" width="20%">Argument </td><td valign="top" width="20%">Return type </td><td valign="top" width="25%">Standard
<br></td></tr><tr align="left"><td valign="top" width="20%"><code>DASINH(X)</code> </td><td valign="top" width="20%"><code>REAL(8) X</code> </td><td valign="top" width="20%"><code>REAL(8)</code> </td><td valign="top" width="25%">GNU extension.
<br></td></tr></table>
<br><dt><em>See also</em>:<dd>Inverse function: <a href="SINH.html#SINH">SINH</a>
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