Bit recycling for scaling random number generators

Andrea C. G. Mennucci

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arXiv · 1012.4290

Bit recycling for scaling random number generators

Andrea C. G. Mennucci

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Abstract

Many Random Number Generators (RNG) are available nowadays; they are divided in two categories, hardware RNG, that provide "true" random numbers, and algorithmic RNG, that generate pseudo random numbers (PRNG). Both types usually generate random numbers $(X_n)$ as independent uniform samples in a range $0,\cdots,2^{b-1}$, with $b = 8, 16, 32$ or $b = 64$. In applications, it is instead sometimes desirable to draw random numbers as independent uniform samples $(Y_n)$ in a range $1, \cdots, M$, where moreover M may change between drawings. Transforming the sequence $(X_n)$ to $(Y_n)$ is sometimes known as scaling. We discuss different methods for scaling the RNG, both in term of mathematical efficiency and of computational speed.

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Andrea C. G. Mennucci. 2010-12-20. Bit recycling for scaling random number generators. https://arxiv.org/abs/1012.4290

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