Dedekind Sums

02262024, 09:47 PM
(This post was last modified: 02262024 09:49 PM by johnb.)
Post: #2




RE: Dedekind Sums
(02262024 02:28 PM)Eddie W. Shore Wrote: I don't have a prime, so I don't recall whether it uses a IEEE754 binary floating point, or a BCD representation, so I may be offbase here. If it's any "binary, mantissa+exponent" representation, then 0.5 is not exactly the same thing as 1/2. You might squeeze an extra ULP or two out of your answer by computing 'a' and 'b' as twice their values and subtract 1, then return (s/2). Oops. LOL! Let this be a lesson to my fellow amateur mathematicians: do not attempt what you think are reversible transformations in the real domain when discontinuous functions are involved! FLOOR(2x) / 2 ≠ FLOOR(x) [crawling back into my hole in the ground...] Daily drivers: 15c, 32sII, 35s, 41cx, 48g, WP 34s/31s. Favorite: 16c. Latest: 15ce, 48s, 50g. Gateway drug: 28s found in yard sale ~2009. 

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Dedekind Sums  Eddie W. Shore  02262024, 02:28 PM
RE: Dedekind Sums  johnb  02262024 09:47 PM

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