Simd Algorithms for 2 D Arrays in Shuffle Networks
Simd Algorithms for 2 D Arrays in Shuffle Networks
Yosi Ben Asher
The book Simd Algorithms for 2 D Arrays in Shuffle Networks was written by author Yosi Ben Asher Here you can read free online of Simd Algorithms for 2 D Arrays in Shuffle Networks book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Simd Algorithms for 2 D Arrays in Shuffle Networks a good or bad book?
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The elements in the first group are destinated for the current processor, therefore only local transformations are required. For the second group in each processor we need to correct one bit, so one step is sufficient. In general, for the f th group we need to correct up to [log i\ bits, so 2* [log i\ — \ steps are required. In every even step ct connection is used and in every odd step either EX connection is used or the element stays in place. We say that collision occurs when in some step so...me processors use EX and others do not. That is, when collision do not occur during some odd step, the number of elements in all processors does not change. The algorithm advances in phases. In a single phase every processor send one element of the same group / to its destination. The following phase starts when all of these elements arrive. The key observation is that for all of these elements we need to correct address bits at the same locations. We conclude that there can be no collisions during a phase, since all elements originate at different processors and since in odd steps either all of them use EX to complement the right bit or none of them does.
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