Algorithm 947

Author:

Langr Daniel1,Tvrdík Pavel1,Dytrych Tomáš2,Draayer Jerry P.2

Affiliation:

1. Czech Technical University in Prague

2. Louisiana State University

Abstract

An algorithm for parallel generation of a random permutation of a large set of distinct integers is presented. This algorithm is designed for massively parallel systems with distributed memory architectures and the MPI-based runtime environments. Scalability of the algorithm is analyzed according to the memory and communication requirements. An implementation of the algorithm in a form of a software library based on the C++ programming language and the MPI application programming interface is further provided. Finally, performed experiments are described and their results discussed. The biggest of these experiments resulted in a generation of a random permutation of 2 41 integers in slightly more than four minutes using 131072 CPU cores.

Funder

Office of Cyberinfrastructure

University of Illinois at Urbana-Champaign

LSU College of Engineering

Projects of Large Infrastructure for Research, Development, and Innovations

CERIT-SC computing and storage facilities

Center CERIT Scientific Cloud

the state of Illinois

National Grid Infrastructure MetaCentrum

U.S. Department of Energy

Blue Waters sustained-petascale computing project

Ministry of Education, Youth and Sports

National Center for Supercomputing Applications

Czech Science Foundation

Blue Waters

Louisiana Optical Network Initiative

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

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1. Batched ranged random integer generation;Software: Practice and Experience;2024-08-25

2. A statistical verification method of random permutations for hiding countermeasure against side-channel attacks;Journal of Information Security and Applications;2024-08

3. Bandwidth-Optimal Random Shuffling for GPUs;ACM Transactions on Parallel Computing;2022-01-31

4. Data-Adapted Parallel Merge Sort;Euro-Par 2019: Parallel Processing Workshops;2020

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