jburkardt

LATINIZE\ Force a Dataset to be a Latin Hypercube {#latinize-force-a-dataset-to-be-a-latin-hypercube align=”center”} =======================================


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: {#licensing align=”center”}

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

Languages {#languages align=”center”}

LATINIZE is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

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: {#reference align=”center”}

  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: {#source-code align=”center”}

Examples: {#examples align=”center”}

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: {#list-of-routines align=”center”}

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


Last revised on 23 January 2012.