LATIN_CENTER, a FORTRAN90 code which makes "centered" Latin Squares for sampling.
A Latin square is a selection of one point from each row and column of a square matrix or table. In M dimensions, the corresponding item is a set of N points, where, in each dimension, there is exactly one point whose coordinates are in a given "column" or range of values. To emphasize the use of higher dimensions, these objects are sometimes called Latin hypersquares.
Once the Latin square has been chosen, a Latin Center Square dataset is created by choosing the center of each of the subsquares.
The computer code and data files described and made available on this web page are distributed under the MIT license
latin_center is available in a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
cvt, a FORTRAN90 library which computes elements of a Centroidal Voronoi Tessellation.
faure, a FORTRAN90 library which computes elements of a Faure quasirandom sequence.
HALTON, a FORTRAN90 library which computes elements of a Halton Quasi Monte Carlo (QMC) sequence, using a simple interface.
HAMMERSLEY, a FORTRAN90 library which computes elements of a Hammersley Quasi Monte Carlo (QMC) sequence, using a simple interface.
HEX_GRID, a FORTRAN90 library which computes elements of a hexagonal grid dataset.
HEX_GRID_ANGLE, a FORTRAN90 library which computes elements of an angled hexagonal grid dataset.
IEEE_UNIFORM_SAMPLE, a FORTRAN90 library which tries to uniformly sample the discrete set of values that represent the legal IEEE real numbers;
IHS, a FORTRAN90 library which computes elements of an improved distributed Latin hypercube dataset.
LATIN_CENTER, a dataset directory which contains a number of examples of datasets created by LATIN_CENTER.
LATIN_CENTER_DATASET, a FORTRAN90 program which creates a Latin Center Hypercube dataset;
LATIN_COVER, a FORTRAN90 library which produces N Latin squares which cover an NxN square, or NxN Latin cubes which cover an NxNxN cube.
LATIN_EDGE, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing edge points.
LATIN_RANDOM, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing points at random.
LATTICE_RULE, a FORTRAN90 library which approximates multidimensional integrals using lattice rules.
LCVT, a FORTRAN90 library which computes a latinized Centroidal Voronoi Tessellation.
NIEDERREITER2, a FORTRAN90 library which computes elements of a Niederreiter quasirandom sequence with base 2.
NORMAL, a FORTRAN90 library which computes elements of a sequence of pseudorandom normally distributed values.
SOBOL, a FORTRAN90 library which computes elements of a Sobol quasirandom sequence.
UNIFORM, a FORTRAN90 library which computes elements of a uniform pseudorandom sequence.
VAN_DER_CORPUT, a FORTRAN90 library which computes elements of a van der Corput quasirandom sequence.