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<html>
<head>
<title>
RANDLC - NAS Parallel Benchmark Pseudorandom Number Generator
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
RANDLC <br> NAS Parallel Benchmark Pseudorandom Number Generator
</h1>
<hr>
<p>
<b>RANDLC</b>
is a MATLAB library which
implements a version of the pseudorandom number generator used by
the NAS Parallel Benchmarks.
</p>
<p>
The generator has the form
<pre>
X(K+1) = A * X(K) mod 2^46
</pre>
where the suggested valule of the multiplier A is 5^13 = 1220703125.
</p>
<p>
This scheme generates 2^44 numbers before repeating.
</p>
<p>
The web site for the NAS Parallel Benchmarks is
<a href = "http://www.nas.nasa.gov/Resources/Software/npb.html">
http://www.nas.nasa.gov/Resources/Software/npb.html</a>.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>RANDLC</b> is available in
<a href = "../../c_src/randlc/randlc.html">a C version</a> and
<a href = "../../cpp_src/randlc/randlc.html">a C++ version</a> and
<a href = "../../f77_src/randlc/randlc.html">a FORTRAN77 version</a> and
<a href = "../../f_src/randlc/randlc.html">a FORTRAN90 version</a> and
<a href = "../../m_src/randlc/randlc.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/asa183/asa183.html">
ASA183</a>,
a MATLAB library which
implements the Wichman-Hill pseudorandom number generator.
</p>
<p>
<a href = "../../m_src/matlab_random/matlab_random.html">
MATLAB_RANDOM</a>,
MATLAB programs which
illustrate the use of Matlab's random number generators.
</p>
<p>
<a href = "../../m_src/normal/normal.html">
NORMAL</a>,
a MATLAB library which
computes a sequence of pseudorandom normally distributed values.
</p>
<p>
<a href = "../../m_src/ranlib/ranlib.html">
RANLIB</a>,
a MATLAB library which
produces random samples from Probability Density Functions (PDF's),
including Beta, Chi-square Exponential, F, Gamma, Multivariate normal,
Noncentral chi-square, Noncentral F, Univariate normal, random permutations,
Real uniform, Binomial, Negative Binomial, Multinomial, Poisson
and Integer uniform,
by Barry Brown and James Lovato.
</p>
<p>
<a href = "../../m_src/rnglib/rnglib.html">
RNGLIB</a>,
a MATLAB library which
implements a random number generator (RNG) with splitting facilities,
allowing multiple independent streams to be computed,
by L'Ecuyer and Cote.
</p>
<p>
<a href = "../../m_src/uniform/uniform.html">
UNIFORM</a>,
a MATLAB library which
computes elements of a pseudorandom sequence.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
David Bailey, Eric Barszcz, John Barton, D Browning, Robert Carter,
Leonardo Dagum, Rod Fatoohi,
Samuel Fineberg, Paul Frederickson, Thomas Lasinski, Robert Schreiber, Horst Simon,
V Venkatakrishnan, Sisira Weeratunga,<br>
The NAS Parallel Benchmarks,<br>
RNR Technical Report RNR-94-007,
March 1994.
</li>
<li>
Donald Knuth,<br>
The Art of Computer Programming,
Volume 2, Seminumerical Algorithms,<br>
Third Edition,<br>
Addison Wesley, 1997,<br>
ISBN: 0201896842,<br>
LC: QA76.6.K64.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "randlc.m">randlc.m</a>,
generates the next pseudorandom value.
</li>
<li>
<a href = "randlc_jump.m">randlc_jump.m</a>,
jumps ahead to the K-th pseudorandom value.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "randlc_test.m">randlc_test.m</a>,
calls all the tests
</li>
<li>
<a href = "randlc_test01.m">randlc_test01.m</a>,
just calls RANDLC ten times.
</li>
<li>
<a href = "randlc_test02.m">randlc_test02.m</a>,
calls RANDLC ten times and examines the SEED.
</li>
<li>
<a href = "randlc_test03.m">randlc_test03.m</a>,
demonstrates how the SEED can be changed to give different results.
</li>
<li>
<a href = "randlc_test04.m">randlc_test04.m</a>,
demonstrates how RANDLC_JUMP can jump ahead in the
pseudorandom sequence.
</li>
<li>
<a href = "randlc_test_output.txt">randlc_test_output.txt</a>,
the output file.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 10 March 2010.
</i>
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