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+<title>The GNU Fortran Compiler: ATANH</title>
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+Next: <a href="ATOMIC_005fADD.html#ATOMIC_005fADD" accesskey="n" rel="next">ATOMIC_ADD</a>, Previous: <a href="ATAN2D.html#ATAN2D" accesskey="p" rel="previous">ATAN2D</a>, Up: <a href="Intrinsic-Procedures.html#Intrinsic-Procedures" accesskey="u" rel="up">Intrinsic Procedures</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Option-Index.html#Option-Index" title="Index" rel="index">Index</a>]</p>
+</div>
+<hr>
+<a name="ATANH-_002d_002d_002d-Inverse-hyperbolic-tangent-function"></a>
+<h3 class="section">8.27 <code>ATANH</code> &mdash; Inverse hyperbolic tangent function</h3>
+<a name="index-ATANH"></a>
+<a name="index-DATANH"></a>
+<a name="index-area-hyperbolic-tangent"></a>
+<a name="index-inverse-hyperbolic-tangent"></a>
+<a name="index-hyperbolic-function_002c-tangent_002c-inverse"></a>
+<a name="index-tangent_002c-hyperbolic_002c-inverse"></a>
+
+<dl compact="compact">
+<dt><em>Description</em>:</dt>
+<dd><p><code>ATANH(X)</code> computes the inverse hyperbolic tangent of <var>X</var>.
+</p>
+</dd>
+<dt><em>Standard</em>:</dt>
+<dd><p>Fortran 2008 and later
+</p>
+</dd>
+<dt><em>Class</em>:</dt>
+<dd><p>Elemental function
+</p>
+</dd>
+<dt><em>Syntax</em>:</dt>
+<dd><p><code>RESULT = ATANH(X)</code>
+</p>
+</dd>
+<dt><em>Arguments</em>:</dt>
+<dd><table>
+<tr><td width="15%"><var>X</var></td><td width="70%">The type shall be <code>REAL</code> or <code>COMPLEX</code>.</td></tr>
+</table>
+
+</dd>
+<dt><em>Return value</em>:</dt>
+<dd><p>The return value has 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
+<em>-\pi/2 \leq \Im \atanh(x) \leq \pi/2</em>.
+</p>
+</dd>
+<dt><em>Example</em>:</dt>
+<dd><div class="smallexample">
+<pre class="smallexample">PROGRAM test_atanh
+  REAL, DIMENSION(3) :: x = (/ -1.0, 0.0, 1.0 /)
+  WRITE (*,*) ATANH(x)
+END PROGRAM
+</pre></div>
+
+</dd>
+<dt><em>Specific names</em>:</dt>
+<dd><table>
+<thead><tr><th width="20%">Name</th><th width="23%">Argument</th><th width="20%">Return type</th><th width="33%">Standard</th></tr></thead>
+<tr><td width="20%"><code>DATANH(X)</code></td><td width="23%"><code>REAL(8) X</code></td><td width="20%"><code>REAL(8)</code></td><td width="33%">GNU extension</td></tr>
+</table>
+
+</dd>
+<dt><em>See also</em>:</dt>
+<dd><p>Inverse function: <br>
+<a href="TANH.html#TANH">TANH</a>
+</p></dd>
+</dl>
+
+
+
+
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