From: user5857@newsgrouper.org.invalid   
      
   Robert Finch  posted:   
      
   > On 2025-11-03 2:03 p.m., MitchAlsup wrote:   
   > >   
   > > Thomas Koenig  posted:   
   > >   
   > >> MitchAlsup  schrieb:   
   > >>>   
   > >>> Terje Mathisen  posted:   
   > >>   
   > >>>> Actually, for the five required basic operations, you can always do the   
   > >>>> op in the next higher precision, then round again down to the target,   
   > >>>> and get exactly the same result.   
   > >>>   
   > >>> https://guillaume.melquiond.fr/doc/05-imacs17_1-article.pdf   
   > >>   
   > >> The PowerISA version 3.0 introduced rounding to odd for its 128-bit   
   > >> floating point arithmetic, for that very reason (I assume).   
   > >   
   > > Likely, My 66000 also has RNO and   
   > > Round Nearest Random is defined but not yet available   
   > > Round Away from Zero is also defined and available.   
   >   
   > Round nearest random?   
      
   Another unbiased rounding mode. Not yet available because I don't have   
   a truly random source to guide the rounding.   
      
   >                       How about round externally guided (RXG) by an   
   > input signal?   
      
   I guess that would be OK, but you could not make the statement that   
   the rounding mode was unbiased.   
      
   >               For instance, the rounding could come from a feedback   
   > filter of some sort.   
      
   Sure, just you can state "unbiased".   
      
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