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asa172.html
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<html>
<head>
<title>
ASA172 - Generation of all multi-indices in a given range
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ASA172 <br> Generation of all multi-indices in a given range
</h1>
<hr>
<p>
<b>ASA172</b>
is a FORTRAN90 library which
generates all multidimensional indices in a given range.
simulating the behavior of an arbitrary number of nested loops,
by OFlaherty and MacKenzie.
</p>
<p>
If the number of dimensions was known in advance, such an operation could
be carried out by the corresponding set of nested loops. For example, in 3D:
<pre>
do i = i1, i2
do j = j1, j2
do k = k1, k2
(I,J,K) is an index in the range.
end do
end do
end do
</pre>
One feature of this library, though, is that it can generate all such indexes
for an arbitrary number of dimensions.
</p>
<p>
<b>ASA172</b> is Applied Statistics Algorithm 172. 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>ASA172</b> is available in
<a href = "../../c_src/asa172/asa172.html">a C version</a> and
<a href = "../../cpp_src/asa172/asa172.html">a C++ version</a> and
<a href = "../../f77_src/asa172/asa172.html">a FORTRAN77 version</a> and
<a href = "../../f_src/asa172/asa172.html">a FORTRAN90 version</a> and
<a href = "../../m_src/asa172/asa172.html">a MATLAB version.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/subset/subset.html">
SUBSET</a>,
a FORTRAN90 library which
enumerates combinations, partitions, subsets, index sets,
trees, and other combinatorial objects.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Original FORTRAN77 version by M OFlaherty, G MacKenzie;
FORTRAN90 version by John Burkardt.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
M OFlaherty, G MacKenzie,<br>
Algorithm AS 172:
Direct Simulation of Nested Fortran DO-LOOPS,<br>
Applied Statistics,<br>
Volume 31, Number 1, 1982, pages 71-74.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "asa172.f90">asa172.f90</a>, the source code.
</li>
<li>
<a href = "asa172.sh">asa172.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "asa172_prb.f90">asa172_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "asa172_prb.sh">asa172_prb.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "asa172_prb_output.txt">asa172_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>SIMDO</b> generates multi-indices, simulating nested DO-loops.
</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 26 July 2008.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>