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rygorous's profile
Fabian Giesen
Fabian Giesen
Fabian Giesen
@rygorous

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Fabian Giesen

@rygorous

Abstraction maker, abstraction breaker. FUN FACT: things I prefix with FUN FACT are sometimes fun and sometimes factual, but very rarely both.

fgiesen.wordpress.com
Joined December 2009

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    1. Alex J. Champandard‏ @alexjc 3 Apr 2016

      Mind blowing! Ditch IEEE float representation, gain precise 1-clock binary ops with no NaNs. http://www.johngustafson.net/presentations/Multicore2016-JLG.pdf …pic.twitter.com/cPFoxSrztO

      18 replies 207 retweets 382 likes
    2. Fabian Giesen‏ @rygorous 4 Apr 2016
      Replying to @alexjc

      @alexjc @aras_p Erm. 1Mbit ROM lookup for op tables @ 8-bit Unums. Can be 1 clock, sure, but you won't like the clock rate.

      1 reply 0 retweets 7 likes
    3. Alex J. Champandard‏ @alexjc 4 Apr 2016
      Replying to @rygorous

      @rygorous @aras_p It needs a different solution for 32-bit anyway (last slide). I like the representation, even if implementation is weird.

      1 reply 0 retweets 0 likes
      Fabian Giesen‏ @rygorous 4 Apr 2016
      Replying to @alexjc

      @alexjc @aras_p It just rings my alarm bells in a major way when he considers a 1Mbit LUT for 8-bit arithmetic to be "practical".

      12:32 AM - 4 Apr 2016
      • 2 Likes
      • Alex Lind Dougall
      1 reply 0 retweets 2 likes
        1. New conversation
        2. Alex J. Champandard‏ @alexjc 4 Apr 2016
          Replying to @rygorous

          @rygorous @aras_p Hehe, @sheredom pointed out the same thing. But glad he's considering new representations, there's room for improvement!

          1 reply 0 retweets 0 likes
        3. Fabian Giesen‏ @rygorous 4 Apr 2016
          Replying to @alexjc

          @alexjc @aras_p @sheredom I don't think this is new though? People used log-scale FP (as opposed to semi-log like IEEE) for a while.

          3 replies 0 retweets 0 likes
        4. Alex J. Champandard‏ @alexjc 4 Apr 2016
          Replying to @rygorous

          @rygorous @sheredom It's not scale that makes unums interesting, but the fact they are rigorously defined operations on sets (no NAN).

          1 reply 0 retweets 0 likes
        5. Fabian Giesen‏ @rygorous 4 Apr 2016
          Replying to @alexjc

          @alexjc @sheredom Nope! The set operations are on the *SORN*s. The unums are just a lattice on the real line, like regular floats.

          1 reply 0 retweets 1 like
        6. Fabian Giesen‏ @rygorous 4 Apr 2016
          Replying to @rygorous

          @alexjc @sheredom (well, projective real line in his case.)

          1 reply 0 retweets 0 likes
        7. Fabian Giesen‏ @rygorous 4 Apr 2016
          Replying to @rygorous

          @alexjc @sheredom If you want the set arithmetic on 8-bit unums, you get 256-bit SORNs. For 16-bit unorms: 65536-bit SORNs!

          1 reply 0 retweets 1 like
        8. Fabian Giesen‏ @rygorous 4 Apr 2016
          Replying to @rygorous

          @alexjc @sheredom (his only, laconic, comment on the matter: "General SORNs need run-length encoding". Yuuup.)

          1 reply 0 retweets 1 like
        9. Fabian Giesen‏ @rygorous 4 Apr 2016
          Replying to @rygorous

          @alexjc @sheredom He mentions in passing a SORN encoding for "connected sets" (storing start/end pts for an interval, probably? Not clear.)

          1 reply 0 retweets 0 likes
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