UNIFORM Uniform Quasirandom Datasets

UNIFORM is a dataset directory which contains points generated as part of an M-dimensional uniform random process.

The datasets are distinguished by the values of the following parameters:

• M, the spatial dimension;
• N, the number of points to generate;
• SEED, is the initial value of the seed;
The values of M and N are specified in the dataset file names.

Related Data and Programs:

PLOT_POINTS, a FORTRAN90 program which can plot two dimensional datasets, making Encapsulated PostScript images.

SEQUENCE_STREAK_DISPLAY, a MATLAB program which can make a streak plot of a (one-dimensional) sequence.

TABLE, a file format which is used to store the datasets.

TABLE_TOP, a FORTRAN90 program which can be used to analyze datasets of any dimension, by creating images of pairwise coordinates.

UNIFORM, a C++ library which computes elements of a uniform pseudorandom sequence.

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

Example dataset:

A typical (but small) dataset of 10 points in 2 dimensions looks like this:

0.218418  0.956318
0.829509  0.561695
0.415307  0.066119
0.257578  0.109957
0.043829  0.633966
0.061727  0.449539
0.401306  0.754673
0.797287  0.001838
0.897504  0.350752
0.094545  0.013617

Reference:

1. Paul Bratley, Bennett Fox, Linus Schrage,
A Guide to Simulation,
Springer Verlag, pages 201-202, 1983.
2. Bennett Fox,
Algorithm 647: Implementation and Relative Efficiency of Quasirandom Sequence Generators,
ACM Transactions on Mathematical Software,
Volume 12, Number 4, pages 362-376, 1986.
3. Donald Knuth,
The Art of Computer Programming,
Volume 2: Seminumerical Algorithms,

Datasets:

Datasets in M = 1 dimensions include:

Datasets in M = 2 dimensions include:

Datasets in M = 6 dimensions include:

Datasets in M = 7 dimensions include:

Datasets in M = 10 dimensions include:

Datasets in M = 16 dimensions include:

You can go up one level to the DATASETS directory.

Last revised on 01 August 2007.