HALTON is a FORTRAN90 library which computes elements of a Halton Quasi Monte Carlo (QMC) sequence using a simple interface.
A more sophisticated library is available in HALTON_ADVANCED, but I find this simple version to be preferable for everyday use!
The standard M-dimensional Halton sequence is simply composed of M 1-dimensional van der Corput sequences, using as bases the first M primes.
The HALTON function will return the M-dimensional element of this sequence with index I.
The HALTON_SEQUENCE function will return the M-dimensional elements of this sequence with indices I1 through I2.
The HALTON_INVERSE function accepts an M-dimensional value, presumably computed by HALTON, and returns its original index I.
The HALTON_BASE function allows the user to replace the standard basis of primes with some other choice.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
HALTON is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
CVT, a FORTRAN90 library which computes elements of a Centroidal Voronoi Tessellation.
FAURE, a FORTRAN90 library which computes elements of a Faure sequence.
HALTON_ADVANCED, a FORTRAN90 library which computes elements of a Halton Quasi Monte Carlo (QMC) sequence, using an advanced interface with many input options.
HALTON_DATASET, a FORTRAN90 library which creates a Halton sequence and write it to a file.
HAMMERSLEY, a FORTRAN90 library which computes elements of a Hammersley Quasi Monte Carlo (QMC) sequence, using a simple interface.
HEX_GRID, a FORTRAN90 library which computes elements of a hexagonal grid dataset.
IHS, a FORTRAN90 library which computes elements of an improved distributed Latin hypercube dataset.
LATIN_CENTER, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing center points.
LATIN_EDGE, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing edge points.
LATIN_RANDOM, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing points at random.
LATTICE_RULE, a FORTRAN90 library which approximates multidimensional integrals using lattice rules.
LCVT, a FORTRAN90 library which computes a latinized Centroidal Voronoi Tessellation.
NIEDERREITER2, a FORTRAN90 library which computes elements of a Niederreiter sequence using base 2.
SOBOL, a FORTRAN90 library which computes elements of a Sobol sequence.
TOMS647, a FORTRAN90 library which is a version of ACM TOMS algorithm 647, for evaluating Faure, Halton and Sobol sequences.
UNIFORM, a FORTRAN90 library which computes elements of a uniform pseudorandom sequence.
VAN_DER_CORPUT, a FORTRAN90 library which computes elements of a 1D van der Corput Quasi Monte Carlo (QMC) sequence using a simple interface.
You can go up one level to the FORTRAN90 source codes.