latinize

latinize, a Fortran90 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 information on this web page is 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 and an Octave version.

Related Data and Programs:

latinize_test

latin_cover, a Fortran90 code which produces N Latin squares which cover an NxN square, or NxN Latin cubes which cover an NxNxN cube.

Reference:

  1. Michael McKay, William Conover, Richard 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:

Last revised on 24 July 2020.