MIXMAX generator

The MIXMAX generator is a family of pseudorandom number generators (PRNG) and is based on Anosov C-systems (Anosov diffeomorphism) and Kolmogorov K-systems (Kolmogorov automorphism). It was introduced in a 1986 preprint by G. Savvidy and N. Ter-Arutyunyan-Savvidy and published in 1991.[1]

A fast C implementation of the generator was developed by Konstantin Savvidy.[2] The period of the generator is 10^4682 for the matrix size N=256.

The generator works on most 64-bit systems, including 64-bit Linux flavors and Intel Mac. It has also been tested on PPC and ARM architectures. The latest version also runs on 32-bit systems and on Windows. The generator is equally usable with C++ programs, and there exists a ROOT interface [3] as well the CLHEP interface for use in Geant4.[4] It has been recently tested extensively on very wide variety of platforms, as part of the release of ROOT.

References

  1. G.K Savvidy and N.G Ter-Arutyunyan-Savvidy "On the Monte Carlo Simulation of Physical Systems", J.Comput.Phys. 97 (1991) 566.
  2. K. Savvidy (2015). "The MIXMAX Random Number Generator". Comp.Phys.Communic. 196: 161–165.
  3. "ROOT: ROOT::Math::MixMaxEngine Class Reference". root.cern.ch. Retrieved 2016-04-09.
  4. "CLHEP - A Class Library for High Energy Physics". proj-clhep.web.cern.ch. Retrieved 2016-04-09.

External links

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