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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.
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.
The xorwow generator is the default generator in the CURAND library of the nVidia CUDA application programming interface for graphics processing units. Well equidistributed long-period linear (WELL) 2006 F. Panneton, P. L'Ecuyer and M. Matsumoto [27] A LFSR closely related with Mersenne Twister, aiming at remedying some of its shortcomings.
Makoto Matsumoto (松本眞, born February 18, 1965) is a Japanese mathematician principally known as the inventor of the Mersenne Twister, [1] [2] a widely used pseudorandom number generator. He is also the author of the CryptMT stream cipher. [3]
The structure is similar to the Mersenne Twister, a large state made up of previous output words (32 bits each), from which a new output word is generated using linear recurrences modulo 2 over a finite binary field. However, a more complex recurrence produces a denser generator polynomial, producing better statistical properties.
Mersenne primes are a rare kind of number, making Durant’s finding of the 52nd known Mersenne prime even more impressive. A number is only considered a Mersenne prime if it can be written in the ...
Such algorithms are inherently sequential and not amenable to running on parallel machines like multi-core CPUs and GPUs. In contrast, a counter-based random number generator (CBRNG) is a PRNG where the state "evolves" in a particularly simple manner: =. This way you can generate each number independently, without knowing the result of the ...
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