GRID_DATASET
Generate Grid Datasets

GRID_DATASET is a MATLAB program which creates a grid dataset.

Note that, unless N is an Mth power of an integer, the program must generate a regular grid with too many points, and then omit some. Choosing which points to omit is done with a random number generator, whose actions are controlled by SEED.

The actual placement of the grid within the unit hypercube leaves some options for the use. It is easiest to describe the options in the 1 dimensional case, and in terms of where the first and last grid point are. Assuming we have N evenly spaced points to place between 0 and 1, the centering options are

• CENTER = 1: first point is 0.0, last point is 1.0;
• CENTER = 2: first point is 1/(N+1), last point is N/(N+1);
• CENTER = 3: first point is 0, last point is (N-1)/N;
• CENTER = 4: first point is 1/N, last point is 1;
• CENTER = 5: first point is 1/(2*N), last point is (2*N-1)/(2*N);

Usage:

r = grid_dataset ( m, n, seed, center )

• m is the spatial dimension;
• n is the number of points to generate;
• seed is the random number generator seed;
• center is the centering option.
• r is the computed m by n dataset.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

GRID_DATASET is available in a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

FAURE_DATASET, a MATLAB program which creates a Faure quasirandom dataset;

GRID a MATLAB library which can define a grid dataset. GRID_DATASET needs a copy of that library in order to run.

GRID a dataset directory which contains sample datasets created by GRID_DATASET.

LATIN_CENTER_DATASET, a MATLAB program which creates a Latin Center Hypercube dataset;

LATIN_EDGE_DATASET, a MATLAB program which creates a Latin Edge Hypercube dataset;

LATIN_RANDOM_DATASET, a MATLAB program which creates a Latin Random Hypercube dataset;

NIEDERREITER2_DATASET, a MATLAB program which creates a Niederreiter quasirandom dataset with base 2;

NORMAL_DATASET, a MATLAB program which generates a dataset of multivariate normal pseudorandom values and writes them to a file.

SOBOL_DATASET, a MATLAB program which computes a Sobol quasirandom sequence and writes it to a file.

UNIFORM_DATASET, a MATLAB program which generates a dataset of uniform pseudorandom values and writes them to a file.

VAN_DER_CORPUT_DATASET, a MATLAB program which creates a van der Corput quasirandom sequence and writes it to a file.

Source Code:

• grid_dataset.m, generates a grid dataset and writes it to a file.

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