Papers › Fast algorithm for generating random bit strings and multispin coding for directed percolation
Fast algorithm for generating random bit strings and multispin coding for directed percolation
Hiroshi Watanabe, Satoshi Morita, Synge Todo, Naoki Kawashima
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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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