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#unum#floating-point#computer-arithmetic

An Energy Efficient and Massively Parallel Approach to Valid Numerics

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  • Presented by John Gustafson, inventor of Gustafson's Law
  • An opinion. It argues one side of a question engineers disagree on.

Advanced. Deep dive for people who know the field.

5.5K views11 years ago2 recommendations

Computer scienceHardwareMath for programmersCPUs and computer architecture

John Gustafson presents the universal number format as an energy-efficient and more accurate alternative to IEEE floating-point arithmetic.

In this slidecast, John Gustafson presents: An Energy Efficient and Massively Parallel Approach to Valid Numerics. "Written by one of the foremost experts in high-performance computing and the inventor of Gustafson’s Law, The End of Error: Unum Computing explains a new approach to computer arithmetic: the universal number (unum). The unum encompasses all IEEE floating-point formats as well as fixed-point and exact integer arithmetic. This new number type obtains more accurate answers than floating-point arithmetic yet uses fewer bits in many cases, saving memory, bandwidth, energy, and power." Learn more: amazon.com/The-End-Error-Computing-Computational/dp/14822398… and View the slides and transcript: wp.me/p3RLHQ-dTk Sign up for our insideHPC Newsletter: insidehpc.com/newsletter

Why it's here

2 people recommend this

What people say. Recommended for those interested in alternative computer arithmetic formats and FPGA implementations of number systems.

u/vanderZwanin r/compsci • Recommends

On “UNUM, a better alternative to IEEE Floating Point?”

Found on the pony language mailing list, title taken from DDG search result (not intended as flamebait). It's a bit over my head, but it looked interesting enough to share. EDIT: it turns out this was posted to /r/programming before too, maybe some of the comments there are interesting - there's a link to the video too (Silverlight, sadly) EDIT2: More recent presentation, via HN (some interesting comments from Gustafson himself there as well). Here's the slidecast version of it

u/eduardo_20in r/FPGA • Recommends

On “Topic for PhD research”

You migth want to look into number theory and how it could be implemented in FPGA. link to this video