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:
- the minimum and maximum row values are the same as on input;
- the row contains N evenly spaced values between the minimum and maximum.
- in each row, the elements retain their ordering.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
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.
- 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. - 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,
- latinize.cpp, the source code.
- latinize.hpp, the include file.
- latinize_prb.cpp, the test code.
- latinize_prb_output.txt, the output file.
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.
- CH_CAP capitalizes a single character.
- CH_EQI is true if two characters are equal, disregarding case.
- CH_TO_DIGIT returns the integer value of a base 10 digit.
- FILE_COLUMN_COUNT counts the columns in the first line of a file.
- FILE_NAME_EXT_SWAP replaces the current "extension" of a file name.
- FILE_ROW_COUNT counts the number of row records in a file.
- I4_MAX returns the maximum of two I4's.
- I4_MIN returns the minimum of two I4's.
- R8MAT_DATA_READ reads the data from an R8MAT file.
- R8MAT_HEADER_READ reads the header from an R8MAT file.
- R8MAT_LATINIZE "latinizes" a real table dataset.
- R8MAT_PRINT prints an R8MAT.
- R8MAT_PRINT_SOME prints some of an R8MAT.
- R8MAT_TRANSPOSE_PRINT prints an R8MAT, transposed.
- R8MAT_TRANSPOSE_PRINT_SOME prints some of an R8MAT, transposed.
- R8MAT_WRITE writes an R8MAT file.
- R8VEC_SORT_HEAP_INDEX_A does an indexed heap ascending sort of an R8VEC.
- S_LEN_TRIM returns the length of a string to the last nonblank.
- S_TO_R8 reads an R8 from a string.
- S_TO_R8VEC reads an R8VEC from a string.
- S_WORD_COUNT counts the number of "words" in a string.
- TIMESTAMP prints the current YMDHMS date as a time stamp.
You can go up one level to the C++ source codes.
Last revised on 23 January 2012.