Fast Random Integer Generation in an Interval
@article{Lemire2019FastRI,
title={Fast Random Integer Generation in an Interval},
author={Daniel Lemire},
journal={ACM Transactions on Modeling and Computer Simulation (TOMACS)},
year={2019},
volume={29},
pages={1 - 12}
}In simulations, probabilistic algorithms, and statistical tests, we often generate random integers in an interval (e.g., [0,s. [] Key Method We review an unbiased function to generate ranged integers from a source of random words that avoids integer divisions with high probability. To establish the practical usefulness of the approach, we show that this algorithm can multiply the speed of unbiased random shuffling on x64 processors. Our proposed approach has been adopted by the Go language for its…
23 Citations
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References
SHOWING 1-10 OF 49 REFERENCES
Engineering Parallel In-Place Random Generation of Integer Permutations
- Computer ScienceWEA
- 2008
This work tackles the feasibility and efficiency of two new parallel algorithms that sample random permutations of the integers [M] = {1, ..., M} and shows high scalability and outperforms the previously known approaches by far.
Random Number Generation
- Computer Science, MathematicsEncyclopedia of Algorithms
- 2008
The main goal is to reproduce the statistical properties on which these methods are based, so that the Monte Carlo estimators behave as expected, whereas for gambling machines and cryptology, observing the sequence of output values for some time should provide no practical advantage for predicting the forthcoming numbers better than by just guessing at random.
Romu: Fast Nonlinear Pseudo-Random Number Generators Providing High Quality
- Computer ScienceArXiv
- 2020
The Romu family of pseudo-random number generators (PRNGs) which combines the nonlinear operation of rotation with the linear operations of multiplication and (optionally) addition achieves a greater degree of randomness using the same number of arithmetic operations, resulting in higher speed.
TestU01: A C library for empirical testing of random number generators
- Computer Science, MathematicsTOMS
- 2007
We introduce TestU01, a software library implemented in the ANSI C language, and offering a collection of utilities for the empirical statistical testing of uniform random number generators (RNGs).…
Random numbers for simulation
- Computer ScienceCACM
- 1990
This paper focuses mainly on efficient and recently proposed techniques for generating uniform pseudorandom numbers, and aims to design more robust generators without having to pay too much in terms of portability, flexibility, and efficiency.
Generating Random Permutations by Coin Tossing
- Computer Science, MathematicsACM Trans. Algorithms
- 2017
Several simple, classical, little-known algorithms for generating random permutations by coin tossing are examined, analyzed, and implemented, and asymptotically optimal approximations to the expected complexity are made.
History of uniform random number generation
- Computer Science2017 Winter Simulation Conference (WSC)
- 2017
A historical account on the design, implementation, and testing of uniform random number generators used for simulation is given.
Random Permutations on Distributed, External and Hierarchical Memory
- Computer ScienceInf. Process. Lett.
- 1998
A search for good multiple recursive random number generators
- Computer ScienceTOMC
- 1993
An extensive computer search for good multiple recursive generators, in terms of their lattice structure and implementation speed, finds generators that are a little slower than the usual linear congruential generators, but have much longer periods and much better statistical properties.
Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator
- Computer Science, MathematicsTOMC
- 1998
A new algorithm called Mersenne Twister (MT) is proposed for generating uniform pseudorandom numbers, which provides a super astronomical period of 2 and 623-dimensional equidistribution up to 32-bit accuracy, while using a working area of only 624 words.