latinize

latinize, a C code which adjusts an M dimensional dataset of N points so that it forms a Latin hypercube.

On output, each row of the table will have the properties that:

1. the minimum and maximum row values are the same as on input;
2. the row contains N evenly spaced values between the minimum and maximum.
3. in each row, the elements retain their ordering.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages

latinize is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

BOX_BEHNKEN, a C++ library which computes a Box-Behnken design, that is, a set of arguments to sample the behavior of a function of multiple parameters;

LATIN_RANDOM, a C++ library which computes Latin Square datasets by choosing a random point of each square.

latinize_test

TABLE, a data format which is used to store the input and output files used by the program.

TABLE_LATINIZE, a C++ program which allows the name of the data file to be specified on the command line.

Reference:

1. M D McKay, W J Conover, R J Beckman,
   A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code,
   Technometrics,
   Volume 21, pages 239-245, 1979.
2. Yuki Saka, Max Gunzburger, John Burkardt,
   Latinized, Improved LHS, and CVT Point Sets in Hypercubes,
   International Journal of Numerical Analysis and Modeling,
   Volume 4, Number 3-4, 2007, pages 729-743,

Source Code:

• latinize.c, the source code.
• latinize.sh, compiles the source code.
• latinize.h, the include file.