Space exploration using parallel orbits : a study in parallel symbolic computing

Orbit enumerations represent an important class of mathematical algorithms which is widely used in computational discrete mathematics. In this paper, we present a new shared-memory implementation of a generic Orbit skeleton in the GAP computer algebra system [5]. By defining a skeleton, we are easily able to capture a wide variety of concrete Orbit enumerations that can exploit the same underlying parallel implementation. We also propose a generic cost model for predicting the speedups that our Orbit skeleton will deliver for a given application on a given parallel system. We demonstrate the scalability of our implementation on a 64-core shared-memory machine. Our results show that we are able to obtain good speedups over sequential GAP programs (up to 25.27 on 64 cores).

Citation

Janjic , V , Brown , C M , Neunhoeffer , M , Hammond , K , Linton , S A & Loidl , H-W 2013 , Space exploration using parallel orbits : a study in parallel symbolic computing . in M Bader , A Bode , H-J Bungartz , M Gerndt , G R Joubert & F Peters (eds) , Parallel Computing : Accelerating Computational Science and Engineering (CSE) . vol. 25 , Advances in Parallel Computing , IOS Press , pp. 225-232 . https://doi.org/10.3233/978-1-61499-381-0-225

Publication

Parallel Computing

DOI

https://doi.org/10.3233/978-1-61499-381-0-225

ISSN

0927-5452

Type

Conference item

Rights

© 2013, IOS Press. This work is made available online with express permission from the publisher. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at www.iospress.nl. Parallel Computing: Accelerating Computational Science and Engineering (CSE), Janjic, V., Brown, C. M., Neunhoeffer, M., Hammond, K., Linton, S. A. & Loidl, H-W., 225 – 232, Copyright (2013) with permission from IOS Press.