THE FAST FOURIER TRANSFORM
This chapter demonstrates the use of different data distributions in different phases of a computation: both the block and cyclic distributions of a vector are used and the intermediates between them. Each data redistribution is a permutation that requires communication. By making careful choices, the number of such redistributions is kept to a minimum. This approach is demonstrated for the fast Fourier transform (FFT), a regular computation with a predictable but challenging data access pattern. The chapter shows how permutations with a regular pattern can be implemented more efficiently by packing the data. It discusses how to present the results of numerical experiments in a meaningful manner using the metrics of speedup and efficiency.
Keywords: block distribution, cyclic distribution, FFT, permutation, redistribution, speedup
Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
Please, subscribe or login to access full text content.
If you think you should have access to this title, please contact your librarian.
To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .