A 1.5 GFLOPS Reciprocal Unit for Computer Graphics

Alberto Nannarelli; Morten Sleth Rasmussen; Matthias Bo Stuart

doi:10.1109/ACSSC.2006.355047

A 1.5 GFLOPS Reciprocal Unit for Computer Graphics

Alberto Nannarelli, Morten Sleth Rasmussen, Matthias Bo Stuart

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Abstract

The reciprocal operation 1/d is a frequent operation performed in graphics processors (GPUs). In this work, we present the design of a radix-16 reciprocal unit based on the algorithm combining the traditional digit-by-digit algorithm and the approximation of the reciprocal by one Newton-Raphson iteration. We design a fully pipelined single-precision unit to be used in GPUs. The results of the implementation show that the proposed unit can sustain a higher throughput than that of a unit implementing the normal Newton-Raphson approximation, and its area is smaller.

Original language	English
Title of host publication	Proceedings of 40th Asilomar Conference on Signals, Systems, and Computers
Publisher	IEEE
Publication date	2006
Pages	1682-1686
ISBN (Print)	1-4244-0784-2
DOIs	https://doi.org/10.1109/ACSSC.2006.355047
Publication status	Published - 2006
Event	40th Asilomar Conference on Signals, Systems, and Computers - Pacific Grove, CA, United States Duration: 29 Oct 2006 → 1 Nov 2006

Conference

Conference	40th Asilomar Conference on Signals, Systems, and Computers
Country/Territory	United States
City	Pacific Grove, CA
Period	29/10/2006 → 01/11/2006

Bibliographical note

Copyright: 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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title = "A 1.5 GFLOPS Reciprocal Unit for Computer Graphics",

abstract = "The reciprocal operation 1/d is a frequent operation performed in graphics processors (GPUs). In this work, we present the design of a radix-16 reciprocal unit based on the algorithm combining the traditional digit-by-digit algorithm and the approximation of the reciprocal by one Newton-Raphson iteration. We design a fully pipelined single-precision unit to be used in GPUs. The results of the implementation show that the proposed unit can sustain a higher throughput than that of a unit implementing the normal Newton-Raphson approximation, and its area is smaller.",

author = "Alberto Nannarelli and Rasmussen, {Morten Sleth} and Stuart, {Matthias Bo}",

note = "Copyright: 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE; 40th Asilomar Conference on Signals, Systems, and Computers ; Conference date: 29-10-2006 Through 01-11-2006",

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doi = "10.1109/ACSSC.2006.355047",

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N2 - The reciprocal operation 1/d is a frequent operation performed in graphics processors (GPUs). In this work, we present the design of a radix-16 reciprocal unit based on the algorithm combining the traditional digit-by-digit algorithm and the approximation of the reciprocal by one Newton-Raphson iteration. We design a fully pipelined single-precision unit to be used in GPUs. The results of the implementation show that the proposed unit can sustain a higher throughput than that of a unit implementing the normal Newton-Raphson approximation, and its area is smaller.

AB - The reciprocal operation 1/d is a frequent operation performed in graphics processors (GPUs). In this work, we present the design of a radix-16 reciprocal unit based on the algorithm combining the traditional digit-by-digit algorithm and the approximation of the reciprocal by one Newton-Raphson iteration. We design a fully pipelined single-precision unit to be used in GPUs. The results of the implementation show that the proposed unit can sustain a higher throughput than that of a unit implementing the normal Newton-Raphson approximation, and its area is smaller.

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DO - 10.1109/ACSSC.2006.355047

M3 - Article in proceedings

SN - 1-4244-0784-2

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EP - 1686

BT - Proceedings of 40th Asilomar Conference on Signals, Systems, and Computers

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Y2 - 29 October 2006 through 1 November 2006

ER -

A 1.5 GFLOPS Reciprocal Unit for Computer Graphics

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