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<a name="TANH-_002d_002d_002d-Hyperbolic-tangent-function"></a>
<h3 class="section">8.241 <code>TANH</code> &mdash; Hyperbolic tangent function</h3>
<a name="index-TANH"></a>
<a name="index-DTANH"></a>
<a name="index-hyperbolic-tangent"></a>
<a name="index-hyperbolic-function_002c-tangent"></a>
<a name="index-tangent_002c-hyperbolic"></a>
<dl compact="compact">
<dt><em>Description</em>:</dt>
<dd><p><code>TANH(X)</code> computes the hyperbolic tangent of <var>X</var>.
</p>
</dd>
<dt><em>Standard</em>:</dt>
<dd><p>Fortran 77 and later, for a complex argument Fortran 2008 or later
</p>
</dd>
<dt><em>Class</em>:</dt>
<dd><p>Elemental function
</p>
</dd>
<dt><em>Syntax</em>:</dt>
<dd><p><code>X = TANH(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. If <var>X</var>
is <code>REAL</code>, the return value lies in the range
<em>- 1 \leq tanh(x) \leq 1 </em>.
</p>
</dd>
<dt><em>Example</em>:</dt>
<dd><div class="smallexample">
<pre class="smallexample">program test_tanh
real(8) :: x = 2.1_8
x = tanh(x)
end program test_tanh
</pre></div>
</dd>
<dt><em>Specific names</em>:</dt>
<dd><table>
<tr><td width="20%">Name</td><td width="20%">Argument</td><td width="20%">Return type</td><td width="25%">Standard</td></tr>
<tr><td width="20%"><code>TANH(X)</code></td><td width="20%"><code>REAL(4) X</code></td><td width="20%"><code>REAL(4)</code></td><td width="25%">Fortran 95 and later</td></tr>
<tr><td width="20%"><code>DTANH(X)</code></td><td width="20%"><code>REAL(8) X</code></td><td width="20%"><code>REAL(8)</code></td><td width="25%">Fortran 95 and later</td></tr>
</table>
</dd>
<dt><em>See also</em>:</dt>
<dd><p><a href="ATANH.html#ATANH">ATANH</a>
</p></dd>
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