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

03142014, 09:37 PM
Post: #6




RE: Accurate Bernoulli numbers on the 41C, or "how close can you get"?
(03122014 04:34 PM)Thomas Klemm Wrote: You'll find all you need on Warren Furlow's HP41 website. (03142014 10:05 AM)Ángel Martin Wrote: It's slightly more involved than just applying a cookiecutter recipy, even if it's all published somewhere (like TOS). Yes, I am absolutely sure it is all "somewhere". ;) But what I am looking for is something like a structured introduction to MCODE programming: what are the hardware options, what else is required, what is covered by the instruction set and what are basic programming techniques. I am quite familiar with FOCAL programming, and I also appreciate the the benefits of doing things in machine code, so MCODE sounds like an interesting new project to me. However, I need some basic info first. Quote:The 13digit routines allow for intermediate calculations done with more precision, so the final result is more accurate (or less inaccurate, in a more strict speak). There are many 13digit versions of the standard math routines in the 41 OS, a good starting point could be the minipaper I prepared a while ago; available at TOS (can't paste the link here as you probably know). Thank you very much, and yes, it worked. That's exactly what I am looking for. In a way I am a kind of "accuracy junkie"  that's why I love the 34s project and the option of 34digit precision for certain things. Defining special functions like the Normal distribution quantile, Lambert's W or just the Bernoulli numbers will full 10digit accuracy is virtually impossible in FOCAL. With 13 digits all this becomes easy. Now  where and how to start? Dieter By the way, do you know of a kind of overview with the actual accuracy of the 41's internal 13digit routines? 

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