<html lang="en"> <head> <title>GAMMA - The GNU Fortran Compiler</title> <meta http-equiv="Content-Type" content="text/html"> <meta name="description" content="The GNU Fortran Compiler"> <meta name="generator" content="makeinfo 4.13"> <link title="Top" rel="start" href="index.html#Top"> <link rel="up" href="Intrinsic-Procedures.html#Intrinsic-Procedures" title="Intrinsic Procedures"> <link rel="prev" href="FTELL.html#FTELL" title="FTELL"> <link rel="next" href="GERROR.html#GERROR" title="GERROR"> <link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage"> <!-- Copyright (C) 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software Foundation, Inc. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with the Invariant Sections being ``Funding Free Software'', the Front-Cover Texts being (a) (see below), and with the Back-Cover Texts being (b) (see below). A copy of the license is included in the section entitled ``GNU Free Documentation License''. (a) The FSF's Front-Cover Text is: A GNU Manual (b) The FSF's Back-Cover Text is: You have freedom to copy and modify this GNU Manual, like GNU software. Copies published by the Free Software Foundation raise funds for GNU development.--> <meta http-equiv="Content-Style-Type" content="text/css"> <style type="text/css"><!-- pre.display { font-family:inherit } pre.format { font-family:inherit } pre.smalldisplay { font-family:inherit; font-size:smaller } pre.smallformat { font-family:inherit; font-size:smaller } pre.smallexample { font-size:smaller } pre.smalllisp { font-size:smaller } span.sc { font-variant:small-caps } span.roman { font-family:serif; font-weight:normal; } span.sansserif { font-family:sans-serif; font-weight:normal; } --></style> </head> <body> <div class="node"> <a name="GAMMA"></a> <p> Next: <a rel="next" accesskey="n" href="GERROR.html#GERROR">GERROR</a>, Previous: <a rel="previous" accesskey="p" href="FTELL.html#FTELL">FTELL</a>, Up: <a rel="up" accesskey="u" href="Intrinsic-Procedures.html#Intrinsic-Procedures">Intrinsic Procedures</a> <hr> </div> <h3 class="section">8.93 <code>GAMMA</code> — Gamma function</h3> <p><a name="index-GAMMA-638"></a><a name="index-DGAMMA-639"></a><a name="index-Gamma-function-640"></a><a name="index-Factorial-function-641"></a> <dl> <dt><em>Description</em>:<dd><code>GAMMA(X)</code> computes Gamma (\Gamma) of <var>X</var>. For positive, integer values of <var>X</var> the Gamma function simplifies to the factorial function \Gamma(x)=(x-1)!. <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 = 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_gamma real :: x = 1.0 x = gamma(x) ! returns 1.0 end program test_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>GAMMA(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>DGAMMA(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>Logarithm of the Gamma function: <a href="LOG_005fGAMMA.html#LOG_005fGAMMA">LOG_GAMMA</a> </dl> </body></html>