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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> — 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> |
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