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<a name="LOG_005fGAMMA-_002d_002d_002d-Logarithm-of-the-Gamma-function"></a>
<h3 class="section">9.169 <code>LOG_GAMMA</code> &mdash; Logarithm of the Gamma function</h3>
<a name="index-LOG_005fGAMMA"></a>
<a name="index-LGAMMA"></a>
<a name="index-ALGAMA"></a>
<a name="index-DLGAMA"></a>
<a name="index-Gamma-function_002c-logarithm-of"></a>
<dl compact="compact">
<dt><em>Description</em>:</dt>
<dd><p><code>LOG_GAMMA(X)</code> computes the natural logarithm of the absolute value
of the Gamma (<em>\Gamma</em>) function.
</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>X = LOG_GAMMA(X)</code>
</p>
</dd>
<dt><em>Arguments</em>:</dt>
<dd><table>
<tr><td width="15%"><var>X</var></td><td width="70%">Shall be of type <code>REAL</code> and neither zero
nor a negative integer.</td></tr>
</table>
</dd>
<dt><em>Return value</em>:</dt>
<dd><p>The return value is of type <code>REAL</code> of the same kind as <var>X</var>.
</p>
</dd>
<dt><em>Example</em>:</dt>
<dd><div class="smallexample">
<pre class="smallexample">program test_log_gamma
real :: x = 1.0
x = lgamma(x) ! returns 0.0
end program test_log_gamma
</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>LGAMMA(X)</code></td><td width="20%"><code>REAL(4) X</code></td><td width="20%"><code>REAL(4)</code></td><td width="25%">GNU Extension</td></tr>
<tr><td width="20%"><code>ALGAMA(X)</code></td><td width="20%"><code>REAL(4) X</code></td><td width="20%"><code>REAL(4)</code></td><td width="25%">GNU Extension</td></tr>
<tr><td width="20%"><code>DLGAMA(X)</code></td><td width="20%"><code>REAL(8) X</code></td><td width="20%"><code>REAL(8)</code></td><td width="25%">GNU Extension</td></tr>
</table>
</dd>
<dt><em>See also</em>:</dt>
<dd><p>Gamma function: <a href="GAMMA.html#GAMMA">GAMMA</a>
</p>
</dd>
</dl>
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