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<html>
<head>
<title>
ASA245 - Logarithm of Gamma Function
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ASA245 <br> Logarithm of Gamma Function
</h1>
<hr>
<p>
<b>ASA245</b>
is a FORTRAN90 library which
evaluates the logarithm of the gamma function,
by Allan Mcleod;
</p>
<p>
<b>ASA245</b> is Applied Statistics Algorithm 245. Source code for many
Applied Statistics Algorithms is available through
<a href = "http://lib.stat.cmu.edu/apstat">STATLIB</a>.
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>ASA245</b> is available in
<a href = "../../c_src/asa245/asa245.html">a C version</a> and
<a href = "../../cpp_src/asa245/asa245.html">a C++ version</a> and
<a href = "../../f77_src/asa245/asa245.html">a FORTRAN77 version</a> and
<a href = "../../f_src/asa245/asa245.html">a FORTRAN90 version</a> and
<a href = "../../m_src/asa245/asa245.html">a MATLAB version.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/fn/fn.html">
FN</a>,
a FORTRAN90 library which
approximates elementary and special functions using Chebyshev polynomials,
by Wayne Fullerton.
</p>
<p>
<a href = "../../cpp_src/gsl/gsl.html">
GSL</a>,
a C++ library which
includes many routines for evaluating special functions.
</p>
<p>
<a href = "../../f_src/slatec/slatec.html">
SLATEC</a>,
a FORTRAN90 library which
evaluates many special functions.
</p>
<p>
<a href = "../../f77_src/specfun/specfun.html">
SPECFUN</a>,
a FORTRAN77 library which
evaluates certain special functions using fitted data.
</p>
<p>
<a href = "../../f_src/test_values/test_values.html">
TEST_VALUES</a>,
a FORTRAN90 library which
contains sample values for a number of distributions.
</p>
<p>
<a href = "../../f77_src/toms291/toms291.html">
TOMS291</a>,
a FORTRAN77 library
which evaluates the logarithm of the Gamma function.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Original FORTRAN77 version by Allan Mcleod;
FORTRAN90 version by John Burkardt.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Cornelius Lanczos,<br>
A precision approximation of the gamma function,<br>
SIAM Journal on Numerical Analysis, B,<br>
Volume 1, 1964, pages 86-96.
</li>
<li>
Allan Mcleod,<br>
Algorithm AS 245:
A Robust and Reliable Algorithm for the Logarithm
of the Gamma Function,<br>
Applied Statistics,<br>
Volume 38, Number 2, 1989, pages 397-402.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "asa245.f90">asa245.f90</a>, the source code.
</li>
<li>
<a href = "asa245.sh">asa245.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "asa245_prb.f90">asa245_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "asa245_prb.sh">asa245_prb.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "asa245_prb_output.txt">asa245_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>ALNGAM</b> computes the logarithm of the gamma function.
</li>
<li>
<b>GAMMA_LOG_VALUES</b> returns some values of the Log Gamma function.
</li>
<li>
<b>LNGAMMA</b> computes Log(Gamma(X)) using a Lanczos approximation.
</li>
<li>
<b>TIMESTAMP</b> prints out the current YMDHMS date as a timestamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 13 January 2008.
</i>
<!-- John Burkardt -->
</body>
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</html>