LATINIZE
Force a Dataset to be a Latin Hypercube

LATINIZE is a MATLAB 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:

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

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

LATIN_RANDOM, a MATLAB 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 MATLAB 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:

• file_column_count.m, counts the number of columns in the first line of a file.
• file_name_ext_swap.m, replaces the current "extension" of a file name.
• file_row_count.m, counts the number of row records in a file.
• r8mat_data_read.m, reads a double precision table dataset from a file.
• r8mat_header_read.m, reads header data from a file.
• r8mat_latinize.m, latinizes a double precision table dataset.
• r8mat_transpose_print.m, prints an R8MAT, tranposed.
• r8mat_transpose_print_some.m, prints some of an R8MAT, tranposed.
• r8mat_write.m, writes an R8MAT to a file.
• r8vec_sort_heap_index_a.m, does an indexed heap ascending sort of an R8VEC.
• s_len_trim.m, returns the length of a string to the last nonblank.
• s_word_count.m counts the number of "words" in a string.
• timestamp.m prints the current YMDHMS date as a time stamp.

Examples and Tests:

• latinize_test.m, runs all the tests.
• latinize_test01.m, carries out the latinization operation on a single file.
• latinize_test_output.txt, printed output from a run of the test code.

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

• cvt_02_00010.txt, the original set of 10 points in 2D.
• cvt_02_00010.png, a PNG image of the points.
• cvt_02_00010.latin.txt, the latinized version of the dataset.
• cvt_02_00010.latin.png, a PNG image of the latinized points.

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

• cvt_03_00007.txt, 7 points in 3D.
• cvt_03_00007.latin.txt, the latinized version of the dataset.

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

• cvt_03_00056.txt, 56 points in 3D.
• cvt_03_00056.latin.txt, the latinized version of the dataset.

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

• cvt_07_00100.txt, 100 points in 7D.
• cvt_07_00100.latin.txt, the latinized version of the dataset.

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