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Free42 with IEEE 754-2008 decimal floating-point -- interested in a sneak preview?
03-04-2014, 09:35 AM (This post was last modified: 03-04-2014 09:41 AM by Werner.)
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RE: Free42 with IEEE 754-2008 decimal floating-point -- interested in a sneak preview?
(03-04-2014 09:17 AM)J-F Garnier Wrote:  and to check the *absolute* accuracy:
163 SQRT PI * E^X
Free42: 262537412640768743.9999999999992474
_exact: 262537412640768743.9999999999992501
That's actually as good as it can get..
SQRT(163) and PI are correctly rounded to 34 digits, and their product is one ULP short of the true (but unobtainable) value.
1 ULP here is 10^-32, so the result is 2.6*10^17*10^-32 = 2.6*10^-15 off, exactly what we observe.
Werner
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RE: Free42 with IEEE 754-2008 decimal floating-point -- interested in a sneak preview? - Werner - 03-04-2014 09:35 AM



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