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A New Rounding Method Based on Parallel Remainder Estimation for Goldschmidt and Newton-Raphson Algorithms

Piso Fernandez, Daniel LU and Bruguera, Javier D. (2014) 17th Euromicro Conference on Digital System Design (DSD) p.639-642
Abstract
Newton-Raphson and Goldschmidt algorithms can be sped up by using variable latency hardware architectures for rounding division, square root and their reciprocals. A new approach based on a rounding method with remainder estimate calculated concurrently with the algorithm was proposed in [5]. This paper presents an study of the hardware implementation of this approach and shows that does not suppose additional latency and avoids conventional remainder calculation most of the times. By using a CMOS 90 nm technology library different hardware architectures are presented. The results show that the expected performance improvements are obtained with reasonable increments in area (up to 5.6%), critical path (up to 6.7%) and better power... (More)
Newton-Raphson and Goldschmidt algorithms can be sped up by using variable latency hardware architectures for rounding division, square root and their reciprocals. A new approach based on a rounding method with remainder estimate calculated concurrently with the algorithm was proposed in [5]. This paper presents an study of the hardware implementation of this approach and shows that does not suppose additional latency and avoids conventional remainder calculation most of the times. By using a CMOS 90 nm technology library different hardware architectures are presented. The results show that the expected performance improvements are obtained with reasonable increments in area (up to 5.6%), critical path (up to 6.7%) and better power performance (up to -24%). (Less)
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author
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organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2014 17th Euromicro Conference on Digital System Design (Dsd)
pages
639 - 642
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
17th Euromicro Conference on Digital System Design (DSD)
conference dates
2014-08-27 - 2014-08-29
external identifiers
  • wos:000358409000084
  • scopus:84928812635
DOI
10.1109/DSD.2014.23
language
English
LU publication?
yes
id
379520d7-3627-4407-8579-95c65ab3afb3 (old id 7773596)
date added to LUP
2016-04-04 10:03:52
date last changed
2022-01-29 19:42:53
@inproceedings{379520d7-3627-4407-8579-95c65ab3afb3,
  abstract     = {{Newton-Raphson and Goldschmidt algorithms can be sped up by using variable latency hardware architectures for rounding division, square root and their reciprocals. A new approach based on a rounding method with remainder estimate calculated concurrently with the algorithm was proposed in [5]. This paper presents an study of the hardware implementation of this approach and shows that does not suppose additional latency and avoids conventional remainder calculation most of the times. By using a CMOS 90 nm technology library different hardware architectures are presented. The results show that the expected performance improvements are obtained with reasonable increments in area (up to 5.6%), critical path (up to 6.7%) and better power performance (up to -24%).}},
  author       = {{Piso Fernandez, Daniel and Bruguera, Javier D.}},
  booktitle    = {{2014 17th Euromicro Conference on Digital System Design (Dsd)}},
  language     = {{eng}},
  pages        = {{639--642}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{A New Rounding Method Based on Parallel Remainder Estimation for Goldschmidt and Newton-Raphson Algorithms}},
  url          = {{http://dx.doi.org/10.1109/DSD.2014.23}},
  doi          = {{10.1109/DSD.2014.23}},
  year         = {{2014}},
}