LATINIZE
Force a Dataset to be a Latin Hypercube


LATINIZE is a C library 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 GNU LGPL license.

Languages

LATINIZE is available in a C version and a C++ version and a FORTRAN77 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_CENTER, a C++ library which computes Latin Square datasets by choosing the center of each square.

LATIN_EDGE, a C++ library which computes Latin Square datasets by choosing the edge of each square.

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

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:

Examples:

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

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

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

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

List of Routines:

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


Last revised on 04 February 2012.