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<h3 class="section">8.152 <code>LOG_GAMMA</code> &mdash; Logarithm of the Gamma function</h3>

<p><a name="index-LOG_005fGAMMA-800"></a><a name="index-LGAMMA-801"></a><a name="index-ALGAMA-802"></a><a name="index-DLGAMA-803"></a><a name="index-Gamma-function_002c-logarithm-of-804"></a>
     <dl>
<dt><em>Description</em>:<dd><code>LOG_GAMMA(X)</code> computes the natural logarithm of the absolute value
of the Gamma (\Gamma) function.

     <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>X = LOG_GAMMA(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%">Shall be of type <code>REAL</code> and neither zero
nor a negative integer.
     <br></td></tr></table>

     <br><dt><em>Return value</em>:<dd>The return value is of type <code>REAL</code> of the same kind as <var>X</var>.

     <br><dt><em>Example</em>:<dd>
     <pre class="smallexample">          program test_log_gamma
            real :: x = 1.0
            x = lgamma(x) ! returns 0.0
          end program test_log_gamma
</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>LGAMMA(X)</code> </td><td valign="top" width="20%"><code>REAL(4) X</code> </td><td valign="top" width="20%"><code>REAL(4)</code>    </td><td valign="top" width="25%">GNU Extension
<br></td></tr><tr align="left"><td valign="top" width="20%"><code>ALGAMA(X)</code> </td><td valign="top" width="20%"><code>REAL(4) X</code> </td><td valign="top" width="20%"><code>REAL(4)</code>    </td><td valign="top" width="25%">GNU Extension
<br></td></tr><tr align="left"><td valign="top" width="20%"><code>DLGAMA(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>Gamma function: <a href="GAMMA.html#GAMMA">GAMMA</a>

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