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table_latinize.html
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<html>
<head>
<title>
TABLE_LATINIZE - Force a Dataset to be a Latin Hypercube
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TABLE_LATINIZE <br> Force a Dataset to be a Latin Hypercube
</h1>
<hr>
<p>
<b>TABLE_LATINIZE</b>
is a FORTRAN90 program which
allows the user to
specify a file of data to be read in and adjusted to form a
Latin hypercube.
</p>
<p>
The data in the file represents N points in M-dimensional space.
</p>
<p>
The algorithm is actually very simple. In each spatial dimension,
the point coordinates are sorted, and then replaced by the appropriate
values for a Latin hypercube. In particular, if there are four points,
then in every coordinate, the four points will be assigned values
of 1/8, 3/8, 5/8 and 7/8 (in some order). The hope is that if
the initial dataset has some nice dispersion property, then the
resulting adjusted dataset will inherit some of this dispersion as
well; in particular, more dispersion than typically seen in an
arbitrary Latin hypercube.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<dl>
<dt>
<b>table_latinize</b> <i>file.txt</i>
</dt>
<dd>
reads the user's data file <i>file.txt</i> and writes a "latinized"
version which will be called <i>file.latin.txt</i>.
</dd>
</dl>
</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>TABLE_LATINIZE</b> is available in
<a href = "../../cpp_src/table_latinize/table_latinize.html">a C++ version</a> and
<a href = "../../f_src/table_latinize/table_latinize.html">a FORTRAN90 version</a> and
<a href = "../../m_src/table_latinize/table_latinize.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/latinize/latinize.html">
LATINIZE</a>,
a FORTRAN90 library which
supplies the routines that calculate the
Latinized data needed by <b>TABLE_LATINIZE</b>.
</p>
<p>
<a href = "../../f_src/table_io/table_io.html">
TABLE_IO</a>,
a FORTRAN90 library which
supplies the routines used to read the TABLE file.
</p>
<p>
<a href = "../../f_src/table_quality/table_quality.html">
TABLE_QUALITY</a>,
a FORTRAN90 program which
reads a file of
points and computes the quality of dispersion.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Michael McKay, William Conover, Richard Beckman,<br>
A Comparison of Three Methods for Selecting Values of Input
Variables in the Analysis of Output From a Computer Code,<br>
Technometrics,<br>
Volume 21, pages 239-245, 1979.
</li>
<li>
Yuki Saka, Max Gunzburger, John Burkardt,<br>
Latinized, Improved LHS, and CVT Point Sets in Hypercubes, <br>
International Journal of Numerical Analysis and Modeling,<br>
Volume 4, Number 3-4, 2007, pages 729-743,
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "table_latinize.f90">table_latinize.f90</a>, the source code.
</li>
<li>
<a href = "table_latinize.sh">table_latinize.sh</a>,
commands to compile, link and load the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>CVT_02_00010</b> is a set of 10 CVT points in 2D:
<ul>
<li>
<a href = "cvt_02_00010.txt">cvt_02_00010.txt</a>,
the original set of 10 points in 2D.
</li>
<li>
<a href = "cvt_02_00010.png">cvt_02_00010.png</a>,
a <a href = "../../data/png/png.html">PNG</a> image of
the points.
</li>
<li>
<a href = "cvt_02_00010.latin.txt">cvt_02_00010.latin.txt</a>,
the latinized version of the dataset.
</li>
<li>
<a href = "cvt_02_00010.latin.png">cvt_02_00010.latin.png</a>,
a <a href = "../../data/png/png.html">PNG</a> image of
the latinized points.
</li>
</ul>
</p>
<p>
<b>CVT_03_00007</b> is a set of 7 CVT points in 3D:
<ul>
<li>
<a href = "cvt_03_00007.txt">cvt_03_00007.txt</a>,
7 points in 3D.
</li>
<li>
<a href = "cvt_03_00007.latin.txt">cvt_03_00007.latin.txt</a>,
the latinized version of the dataset.
</li>
<li>
<a href = "cvt_03_00007.out">cvt_03_00007.out</a>,
the printed output from the command "latinize cvt_03_00007.txt".
</li>
</ul>
</p>
<p>
<b>CVT_03_00056</b> is a set of 56 CVT points in 3D:
<ul>
<li>
<a href = "cvt_03_00056.txt">cvt_03_00056.txt</a>,
56 points in 3D.
</li>
<li>
<a href = "cvt_03_00056.latin.txt">cvt_03_00056.latin.txt</a>,
the latinized version of the dataset.
</li>
</ul>
</p>
<p>
<b>CVT_07_00100</b> is a set of 100 CVT points in 7D:
<ul>
<li>
<a href = "cvt_07_00100.txt">cvt_07_00100.txt</a>,
100 points in 7D.
</li>
<li>
<a href = "cvt_07_00100.latin.txt">cvt_07_00100.latin.txt</a>,
the latinized version of the dataset.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for TABLE_LATINIZE.
</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 27 November 2006.
</i>
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