latin_edge, a Fortran90 code which makes Latin Edge Squares.
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 a Latin square has been selected, the center of each subsquare is chosen to yield a Latin Edge Square dataset. This is the same technique that yields a Latin Center Square dataset, with the difference that the mapping from the Latin Square to the unit square is shifted in such a way that the lowest and highest possible coordinate values are 0.0 and 1.0, instead of 1/(2*N) and (2*N-1)/(2*N).
Here is an image of a Latin edge grid with spatial dimension M = 2 and number of points N = 10.
The information on this web page is distributed under the MIT license.
latin_edge 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 Fortran90 library which computes elements of a Latin Hypercube dataset, choosing center points.
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 dataset directory which contains a number of examples of datasets created by LATIN_EDGE.
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.