middle_square, a Fortran90 code which implements the middle square algorithm for generating random integers. This is a very early method, attributed to von Neumann, which actually is deeply flawed, with short cycles.
The computer code and data files made available on this web page are distributed under the GNU LGPL license.
middle_square is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
asa183, a Fortran90 code which implements the Wichman-Hill random number generator (RNG).
collatz_recursive, a Fortran90 code which computes and analyzes the Collatz or hailstone or 3n+1 sequence, using recursive computation;
cycle_brent, a Fortran90 code which carries out an iterated function evaluation, and seeks to determine the nearest element of a cycle, and the cycle length, using the Brent method.
cycle_floyd, a Fortran90 code which carries out an iterated function evaluation, and seeks to determine the nearest element of a cycle, and the cycle length, using the Floyd method.
halton, a Fortran90 code which computes elements of a Halton quasirandom sequence.
hammersley, a Fortran90 code which computes elements of a Hammersley quasirandom sequence.
normal, a Fortran90 code which computes a sequence of pseudorandom normally distributed values.
random_sorted, a Fortran90 code which generates vectors of random values which are already sorted.
ranlib, a Fortran90 code 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 Fortran90 code which implements a random number generator (RNG) with splitting facilities, allowing multiple independent streams to be computed, by L'Ecuyer and Cote.
uniform, a Fortran90 code which computes a sequence of uniformly distributed pseudorandom values.
van_der_corput, a Fortran90 code which computes elements of a van der Corput quasirandom sequence.