FAURE_DATASET
Generate Datasets
of Faure Quasirandom Sequences
FAURE_DATASET
is a FORTRAN90 program which
creates a Faure quasirandom sequence and writes it to a file.
Usage:
faure_dataset m n skip
where

m is the spatial dimension. This implicitly determines
base, which is the smallest prime number greater than or
equal to m;

n is the number of points to generate;

skip is the initial number of points to skip over.
The recommended value of skip is base^41.
The data is written to the file faure_m_n.txt.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the GNU LGPL license.
Languages:
FAURE_DATASET is available in
a C++ version and
a FORTRAN90 version and
a MATLAB version.
Related Data and Programs:
FAURE,
a dataset directory which
contains examples of the datasets created by FAURE_DATASET.
FAURE,
a FORTRAN90 library which
computes elements of a Faure sequence.
GRID_DATASET,
a FORTRAN90 program which
creates a grid sequence and writes it to a file.
LATIN_CENTER_DATASET,
a FORTRAN90 program which
creates a Latin Center Hypercube dataset;
LATIN_EDGE_DATASET,
a FORTRAN90 program which
creates a Latin Edge Hypercube dataset;
LATIN_RANDOM_DATASET,
a FORTRAN90 program which
creates a Latin Random Hypercube dataset;
NIEDERREITER2_DATASET,
a FORTRAN90 program which
creates a Niederreiter quasirandom dataset with base 2;
NORMAL_DATASET,
a FORTRAN90 program which
generates a dataset of multivariate normal pseudorandom values and writes them to a file.
SOBOL_DATASET,
a FORTRAN90 program which
computes a Sobol quasirandom sequence and writes it to a file.
UNIFORM_DATASET,
a FORTRAN90 program which
generates a dataset of multivariate uniform pseudorandom values and writes them to a file.
VAN_DER_CORPUT_DATASET,
a FORTRAN90 program which
creates a van der Corput quasirandom sequence and writes it to a file.
Reference:

Paul Bratley, Bennett Fox, Harald Niederreiter,
Implementation and Tests of Low Discrepancy Sequences,
ACM Transactions on Modeling and Computer Simulation,
Volume 2, Number 3, pages 195213, 1992.

Henri Faure,
Discrepance de suites associees a un systeme de numeration
(en dimension s),
Acta Arithmetica,
Volume XLI, 1982, pages 337351, especially page 342.

Henri Faure,
Good permutations for extreme discrepancy,
Journal of Number Theory,
Volume 42, 1992, pages 4756.

Bennett Fox,
Algorithm 647:
Implementation and Relative Efficiency of Quasirandom
Sequence Generators,
ACM Transactions on Mathematical Software,
Volume 12, Number 4, pages 362376, 1986.
Source Code:
List of Routines:

MAIN is the main program for FAURE_DATASET.

BINOMIAL_TABLE computes a table of bionomial coefficients MOD QS.

FAURE generates a new quasirandom Faure vector with each call.

FAURE_GENERATE generates a Faure dataset.

GET_UNIT returns a free FORTRAN unit number.

I4_LOG_I4 returns the logarithm of an I4 to an I4 base.

PRIME_GE returns the smallest prime greater than or equal to N.

PRIME returns any of the first PRIME_MAX prime numbers.

R8MAT_WRITE writes an R8MAT file.

TIMESTAMP prints the current YMDHMS date as a time stamp.
You can go up one level to
the FORTRAN90 source codes.
Last revised on 11 December 2009.