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The Mersenne Twister is a general-purpose pseudorandom number generator (PRNG) developed in 1997 by Makoto Matsumoto (松本 眞) and Takuji Nishimura (西村 拓士). [1] [2] Its name derives from the choice of a Mersenne prime as its period length. The Mersenne Twister was designed specifically to rectify most of the flaws found in older PRNGs.
A LFSR closely related with Mersenne Twister, aiming at remedying some of its shortcomings. A small noncryptographic PRNG (JSF) 2007 Bob Jenkins [28] Advanced Randomization System (ARS) 2011 J. Salmon, M. Moraes, R. Dror and D. Shaw [29] A simplified version of the AES block cipher, leading to very fast performance on systems supporting the AES-NI.
The Mersenne Twister has a period of 2 19 937 − 1 iterations (≈ 4.3 × 10 6001), is proven to be equidistributed in (up to) 623 dimensions (for 32-bit values), and at the time of its introduction was running faster than other statistically reasonable generators.
Free Pascal uses a Mersenne Twister as its default pseudo random number generator whereas Delphi uses a LCG. Here is a Delphi compatible example in Free Pascal based on the information in the table above. Given the same RandSeed value it generates the same sequence of random numbers as Delphi.
The default random number generator in many languages, including Python, Ruby, R, IDL and PHP is based on the Mersenne Twister algorithm and is not sufficient for cryptography purposes, as is explicitly stated in the language documentation. Such library functions often have poor statistical properties and some will repeat patterns after only ...
In some PRNGs, such as the Mersenne Twister, the state is large, more than 2048 bytes. In other PRNGs, such as xorshift , s t a t e i {\displaystyle \mathrm {state} _{i}} and n u m i {\displaystyle \mathrm {num} _{i}} are one and the same (and so the state is small, just 4, 8, or 16 bytes, depending on the size of the numbers being generated).
Mersenne Twister visualisation: Image title: Visualisation of generation of pseudo-random 32-bit integers using a Mersenne Twister by CMG Lee. The 'Extract number' section shows an example where integer 0 has already been output and the index is at integer 1. 'Generate numbers' is run when all integers have been output. Width: 100%: Height: 100%
In Jan 1998, while an associate professor at Keio University, [1] he invented the Mersenne Twister along with Takuji Nishimura. Two years later, he completed his Ph.D. [4] on random number generators. Until his retirement in Aug 2023, he was a professor at the Department of Mathematics, Graduate School of Science, Hiroshima University. [5]