latin_edge, a C++ 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 computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
latin_edge is available in a C++ version and a FORTRAN90 version and a MATLAB version.
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