Accurate Bernoulli numbers on the 41C, or "how close can you get"?

03202014, 12:44 PM
Post: #22




RE: Accurate Bernoulli numbers on the 41C, or "how close can you get"?
(03202014 06:46 AM)Ángel Martin Wrote: On V41 using the default settings: qf(0.01) = 2,326522873, in 1.5 seconds. That's fast ...but the true value is 2,326347874. That's also what my FOCAL program returns in 9,5 seconds. ?!? (03202014 06:46 AM)Ángel Martin Wrote: cf. the paper by Mike Giles posted at: Ah, I happened to come across that paper a few days ago. ;) Table 5 shows the CUDA code for single precision (approx. 7 digits), which is a set of two 8th degree polynomials, requiring 18 ninedigit constants just for the coefficients. (03202014 06:46 AM)Ángel Martin Wrote: Edited: I checked my files looking for the doubleprecision source code paper. It appears the link has been redirected to another subject, so I cannot find it online. Unfortunately I didn't keep an electronic copy of the document so would need to go to the actual "paper vault" , I hope to find it or else would have to reverseengineer my own MCODE Never mind. I just would like to know the basic idea. Is it really a series expansion, or the usual polynomial/rational approximation, or something else? Dieter 

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