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Combining the Mersenne Twister and the Xorgens Designs
arXiv - CS - Mathematical Software Pub Date : 2020-10-10 , DOI: arxiv-2011.07963
Marcel Van de Vel

We combine the design of two \emph{random number generators}, \emph{Mersenne Twister} and \emph{Xorgens}, to obtain a new class of generators with heavy-weight characteristic polynomials (exceeded only by the {\sc well} generators) and high speed (comparable with the originals). Tables with parameter combinations are included for state sizes ranging from 521 to 44497 bits and each of the word lengths 32, 64, 128. These generators passed all tests of the \emph{TestU01}-package for each 32-bit integer part and each 64-bit derived real part of the output. We determine \emph{dimension gaps} for 32-bit words, neglecting the non-linear tempering, and compare with an alternative experimental linear tempering.

中文翻译:

结合 Mersenne Twister 和 Xorgens 设计

我们结合了两个 \emph{随机数生成器},\emph{Mersenne Twister} 和 \emph{Xorgens} 的设计,获得了一类具有重量级特征多项式的新生成器(仅超过 {\sc发电机)和高速(与原件相比)。对于从 521 到 44497 位的状态大小和每个字长 32、64、128,包含参数组合的表。这些生成器通过了 \emph{TestU01} 包的所有测试,用于每个 32 位整数部分和每个输出的 64 位派生实部。我们确定 32 位字的 \emph {dimension gaps},忽略非线性调和,并与替代的实验线性调和进行比较。
更新日期:2020-11-17
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