Read SIMD Algorithms for 2-D Arrays in Shuffle Networks (Classic Reprint)

SIMD Algorithms for 2-D Arrays in Shuffle Networks (Classic Reprint)

Yosi Ben-Asher

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Description:Excerpt from Simd Algorithms for D Arrays in Shuffle Networks 1. Introduction and the Model Schwartz [1] introduced the idea of a parallel processor based on the shuffle connections (2); reviewed various bask of S1MD algorithms for such an ensemble of processors, and analyzed their asymptotk time complexities. However, these algorithms arc designed for the 1-D ease, where iV, the size of the problem is restricted to be P, the number of processors. In reallity. the general ease where N>P is much more likely to appear. In this cast each processor stores L = S/P data elements in its local memory. This data structure is referred to ax a 2-D array of P columns and L rows, where the Tih column corresponds to the local memory of the processor PE/. Our algorithms correspond to a SIMD Perfect Shuffle connected machine (PS) [I]. Fo: simplicity, although it is not crucial, we assume that P is a power of two. The processors arc ordered left to right and arc numbered 0 - P-1 accordingly, so we denote the; th processor PE;. Subgroups of processors arc referred to in a "natural" manner: left half, right half. odd. even etc. There arc three kinds of communication steps: shuffle (o). unshufflc (-7-1) and exchange ( X) and a processor internal (fixed-size) computation. All of these operations take one time step. In any parallel network machine we have two possible working modes: One in which each processor computes a local result of a sequential computation using its local data. Then an inter-processor global algorithm is carried out to compute the final result. In other words, this mode involves separate sequential wotk by PE's followed by a global parallel step. It is associated with column order of the array: first each column is processed, only then a "row* of partial results is being processed. In the other mode each processor chooses an element from its local memory. Then ar. intcr-proccssor algorithm computes temporal results that are distributed back among the processors. This process repeats until all elements in the local memory of every processor have been processed. This mode corresponds to interleaved processing phases. It is associated with row order of the array: in each phase the next row of the array is being processed. We attempt to develop a set of 2-D basic and 2-D effictem algorithms. In 2-D Basic we mean algorithms which enable us to manipulate the elements of the 2-D array, such that it will fit our working modes. For example, this include all sort of row-column relations. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with SIMD Algorithms for 2-D Arrays in Shuffle Networks (Classic Reprint). To get started finding SIMD Algorithms for 2-D Arrays in Shuffle Networks (Classic Reprint), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1332195962

Description: Excerpt from Simd Algorithms for D Arrays in Shuffle Networks 1. Introduction and the Model Schwartz [1] introduced the idea of a parallel processor based on the shuffle connections (2); reviewed various bask of S1MD algorithms for such an ensemble of processors, and analyzed their asymptotk time complexities. However, these algorithms arc designed for the 1-D ease, where iV, the size of the problem is restricted to be P, the number of processors. In reallity. the general ease where N>P is much more likely to appear. In this cast each processor stores L = S/P data elements in its local memory. This data structure is referred to ax a 2-D array of P columns and L rows, where the Tih column corresponds to the local memory of the processor PE/. Our algorithms correspond to a SIMD Perfect Shuffle connected machine (PS) [I]. Fo: simplicity, although it is not crucial, we assume that P is a power of two. The processors arc ordered left to right and arc numbered 0 - P-1 accordingly, so we denote the; th processor PE;. Subgroups of processors arc referred to in a "natural" manner: left half, right half. odd. even etc. There arc three kinds of communication steps: shuffle (o). unshufflc (-7-1) and exchange ( X) and a processor internal (fixed-size) computation. All of these operations take one time step. In any parallel network machine we have two possible working modes: One in which each processor computes a local result of a sequential computation using its local data. Then an inter-processor global algorithm is carried out to compute the final result. In other words, this mode involves separate sequential wotk by PE's followed by a global parallel step. It is associated with column order of the array: first each column is processed, only then a "row* of partial results is being processed. In the other mode each processor chooses an element from its local memory. Then ar. intcr-proccssor algorithm computes temporal results that are distributed back among the processors. This process repeats until all elements in the local memory of every processor have been processed. This mode corresponds to interleaved processing phases. It is associated with row order of the array: in each phase the next row of the array is being processed. We attempt to develop a set of 2-D basic and 2-D effictem algorithms. In 2-D Basic we mean algorithms which enable us to manipulate the elements of the 2-D array, such that it will fit our working modes. For example, this include all sort of row-column relations. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with SIMD Algorithms for 2-D Arrays in Shuffle Networks (Classic Reprint). To get started finding SIMD Algorithms for 2-D Arrays in Shuffle Networks (Classic Reprint), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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SIMD Algorithms for 2-D Arrays in Shuffle Networks (Classic Reprint)

SIMD Algorithms for 2-D Arrays in Shuffle Networks (Classic Reprint)

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