latinize

latinize, a MATLAB 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:

latinize_test

latin_center, a MATLAB code which computes Latin Square datasets by choosing the center of each square.

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

latin_edge, a MATLAB code which computes Latin Square datasets by choosing the edge of each square.

latin_random, a MATLAB code which computes Latin Square datasets by choosing a random point of each square.

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:

• file_name_ext_swap.m, replaces the current "extension" of a file name.
• latinize.m, latinizes a dataset.
• r8vec_sort_heap_index_a.m, does an indexed heap ascending sort of an R8VEC.