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Mitchell-Based Approximate Operations on Floating-Point Numbers
Linköping University, Department of Electrical Engineering, Computer Engineering. (Datorteknik (DA))
2021 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

By adapting Mitchell's algorithm for floating-point numbers, one can efficiently perform arithmetic floating-point operations in an approximate logarithmic domain in order to perform approximate computations of functions such as multiplication, division, square root and others. This work examines how this algorithm can be improved in terms of accuracy and hardware complexity by applying a set of various methods that are parametrized and offer a large design space. Optimal coefficients for a large portion of this space is determined and used to synthesize circuits for both ASIC and FPGA circuits using the bfloat16 format\@. Optimal configurations are then extracted to create an optimal curve where one can select an acceptable error range and obtain a circuit with a minimal hardware cost.

Place, publisher, year, edition, pages
2021. , p. 56
Series
LiTH-ISY-Ex ; 21/5413
Keywords [en]
floating-point numbers, approximations, arithmetics, asic, fpga, mitchell
National Category
Computer Systems Computer Sciences Computer and Information Sciences
Identifiers
URN: urn:nbn:se:liu:diva-178882ISRN: LiTH-ISY-EX-21/5413-SEOAI: oai:DiVA.org:liu-178882DiVA, id: diva2:1590166
Subject / course
Computer Engineering
Presentation
2021-06-14, Linköping, 21:22 (English)
Supervisors
Examiners
Available from: 2021-09-07 Created: 2021-09-01 Last updated: 2021-09-07Bibliographically approved

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hellman_2021_fp-arith.pdf(1965 kB)651 downloads
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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