PyMT64 Package

                 PyMT64

PyMT64 is a Python version of the Mersenne Twister (MT) 64-bit pseudorandom number generator by Takuji Nishimura and Makoto Matsumoto (see http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt64.html and the references below).

This customised version is thread safe and was interfaced from C to Python (see pymt64.c)

This module provides the following methods:

• init : initialization of the state vector (mt) used by the pseudorandom number generator (PNG)
• uniform : generation of an uniform distribution
• normal : generation of two Normal distributions
• poisson : generation of a Poisson distribution

The period of the PNG is 2**19937-1.

Example: import pymt64 seed = 143439545 seed # the initial seed mt = pymt64.init(seed) # initialisation of the state vector of MT u = pymt64.uniform(mt,10) # generation of an uniform distribution print (u) [0.12444525 0.22084376 0.31059967 0.45578589 0.84743752 0.28825306 0.83320389 0.05085032 0.48682253 0.17667076]

For a complete example, see pymt64_test.py

Note: the state vector 'mt' returned by pymt64.init has 313 elements instead of the 312 elements of the original C code. This is because the 313th element store the associated counter (mti).

Change history:

• 2.0 (23/05/2023): suppress posible occurence of warning message or error due to the declaration of variable of type np.int
• 1.9 : correct bug associated with the normal distribution
• 1.8 : include a missing file
• 1.7 : corrected data package contain
• 1.6 : correct wrong size of the state vector
• 1.5 : module interface is now based on Cython, module now compatible with python 3
• 1.4 : link problem fixed
• 1.3 : fixe a compilation problem regading the Numpy include directory
• 1.2 : the previous implementation of the poisson distribution was not thread safe
• 1.1 : fix a problem with the initialization of the seed (in the previous version the seed set by init() was not taken into account such that the results were not reproductible)
• 1.0 : initial version

R. Samadi (LESIA, Observatoire de Paris), 22 Dec. 2012

References: T. Nishimura, Tables of 64-bit Mersenne Twisters'' ACM Transactions on Modeling and Computer Simulation 10. (2000) 348--357. M. Matsumoto and T. Nishimura, Mersenne Twister: a 623-dimensionally equidistributed uniform pseudorandom number generator'' ACM Transactions on Modeling and Computer Simulation 8. (Jan. 1998) 3--30.