TABLE_LATINIZE
Force a Dataset to be a Latin Hypercube

TABLE_LATINIZE is an interactive C++ program, using double precision arithmetic, which allows the user to specify a file of data to be read in and adjusted to form a Latin hypercube.

The data in the file represents N points in M-dimensional space.

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.

Usage:

table_latinize file(s)

reads the user's data file(s) and writes "latinized" versions which will have an extension of "latin.txt".

Related Data and Programs:

LATINIZE is a library of C++ routines that carries out the calculations needed by TABLE_LATINIZE.

TABLE is a file format which is used for the input and output of TABLE_LATINIZE.

TABLE_BORDER is a C++ program that can read a TABLE file and add zero entries corresponding to a single layer of boundary data.

TABLE_DELAUNAY is an executable C++ program that reads a file of 2d point coordinates and computes the Delaunay triangulation.

TABLE_DISCREPANCY is a C++ program that bounds the star discrepancy of a point set.

TABLE_IO is a C++ library of routines that can read or write a TABLE file.

TABLE_LATINIZE is also available in a FORTRAN90 version and a MATLAB version.

TABLE_QUALITY is a C++ program that can read a TABLE file and print out measures of the quality of dispersion of the points.

TABLE_UNBORDER is a C++ program can be used to remove the border from a table file.

TABLE_VORONOI is a C++ program that can read a TABLE file describing a set of 2D points, and print out information describing the Voronoi diagram of those points.

Source Code:

• table_latinize.C, the source code.
• table_latinize.csh, commands to compile, link and load the source code.

Examples and Tests:

CVT_02_00010 is a set of 10 CVT points in 2D:

• cvt_02_00010.txt, the original set of 10 points in 2D.
• cvt_02_00010.png, a PNG image of the points.
• cvt_02_00010.latin.txt, the latinized version of the dataset.
• cvt_02_00010.latin.png, a PNG image of the latinized points.
• cvt_02_00010.out, the printed output from the command "latinize cvt_02_00010.txt".

CVT_03_00007 is a set of 7 CVT points in 3D:

• cvt_03_00007.txt, 7 points in 3D.
• cvt_03_00007.latin.txt, the latinized version of the dataset.
• cvt_03_00007.out, the printed output from the command "latinize cvt_03_00007.txt".

CVT_03_00056 is a set of 56 CVT points in 3D:

• cvt_03_00056.txt, 56 points in 3D.
• cvt_03_00056.latin.txt, the latinized version of the dataset.
• cvt_03_00056.out, the printed output from the command "latinize cvt_03_00056.txt".

CVT_07_00100 is a set of 100 CVT points in 7D:

• cvt_07_00100.txt, 100 points in 7D.
• cvt_07_00100.latin.txt, the latinized version of the dataset.
• cvt_07_00100.out, the printed output from the command "latinize cvt_07_00100.txt".

List of Routines:

• MAIN is the main program for TABLE_LATINIZE.

You can go up one level to the C++ source codes.