Wichman-Hill Random Number Generator

ASA183 is a MATLAB library which implements a pseudorandom number generator, by Wichman and Hill.

ASA183 is Applied Statistics Algorithm 183. Source code for many Applied Statistics Algorithms is available through STATLIB.


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


ASA183 is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:


HALTON, a MATLAB library which computes elements of a Halton quasirandom sequence.

MATLAB_RANDOM, MATLAB programs which illustrate the use of Matlab's random number generators.

NORMAL, a MATLAB library which computes elements of a sequence of pseudorandom normally distributed values.

RANDOM_SORTED, a MATLAB library which generates vectors of random values which are already sorted.

RANLIB, a MATLAB library which produces random samples from Probability Density Functions (PDF's), including Beta, Chi-square Exponential, F, Gamma, Multivariate normal, Noncentral chi-square, Noncentral F, Univariate normal, random permutations, Real uniform, Binomial, Negative Binomial, Multinomial, Poisson and Integer uniform, by Barry Brown and James Lovato.

RNGLIB, a MATLAB library which implements a random number generator (RNG) with splitting facilities, allowing multiple independent streams to be computed, by L'Ecuyer and Cote.

UNIFORM, a MATLAB library which computes elements of a sequence of pseudorandom uniformly distributed values.

VAN_DER_CORPUT, a MATLAB library which computes elements of a van der Corput quasirandom sequence.


Original FORTRAN77 version by Brian Wichman and David Hill; Matlab version by John Burkardt.


  1. Pierre LEcuyer,
    Efficient and Portable Combined Random Number Generators,
    Communications of the ACM,
    Volume 31, Number 6, June 1988, pages 742-751.
  2. Brian Wichmann, David Hill,
    Algorithm AS 183: An Efficient and Portable Pseudo-random Number Generator,
    Applied Statistics,
    Volume 31, Number 2, 1982, pages 188-190.

Source Code:

Last revised on 26 November 2018.