TY - JOUR

T1 - Fast algorithm for generating random bit strings and multispin coding for directed percolation

AU - Watanabe, Hiroshi

AU - Morita, Satoshi

AU - Todo, Synge

AU - Kawashima, Naoki

N1 - Funding Information:
The authors would like to thank K. Harada, T. Suzuki, T. Okubo, and R. Kaneko for helpful discussions. This work was supported by JSPS KAKENHI Grant Number 15K05201 and by the MEXT project “Exploratory Challenge on Post-K Computer” (Frontiers of Basic Science: Challenging the Limits). The computations were carried out using the facilities of the Institute for Solid State Physics of the University of Tokyo.
Publisher Copyright:
©2019 The Physical Society of Japan

PY - 2019

Y1 - 2019

N2 - We present efficient algorithms to generate a bit string in which each bit is set with arbitrary probability. By adopting a hybrid algorithm, i.e., a finite-bit density approximation with correction techniques, we achieve 3.8 times faster random bit generation than the simple algorithm for the 32-bit case and 6.8 times faster for the 64-bit case. Employing the developed algorithm, we apply the multispin coding technique to one-dimensional bond-directed percolation. The simulations are accelerated by up to a factor of 14 compared with an optimized scalar implementation. The random bit string generation algorithm proposed here is applicable to general Monte Carlo methods.

AB - We present efficient algorithms to generate a bit string in which each bit is set with arbitrary probability. By adopting a hybrid algorithm, i.e., a finite-bit density approximation with correction techniques, we achieve 3.8 times faster random bit generation than the simple algorithm for the 32-bit case and 6.8 times faster for the 64-bit case. Employing the developed algorithm, we apply the multispin coding technique to one-dimensional bond-directed percolation. The simulations are accelerated by up to a factor of 14 compared with an optimized scalar implementation. The random bit string generation algorithm proposed here is applicable to general Monte Carlo methods.

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U2 - 10.7566/JPSJ.88.024004

DO - 10.7566/JPSJ.88.024004

M3 - Article

AN - SCOPUS:85060523260

VL - 88

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 2

M1 - 024004

ER -