Accurate Bernoulli numbers on the 41C, or "how close can you get"?
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03-14-2014, 09:37 PM
Post: #6
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RE: Accurate Bernoulli numbers on the 41C, or "how close can you get"?
(03-12-2014 04:34 PM)Thomas Klemm Wrote: You'll find all you need on Warren Furlow's HP-41 web-site. (03-14-2014 10:05 AM)Ángel Martin Wrote: It's slightly more involved than just applying a cookie-cutter 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 13-digit 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 13-digit versions of the standard math routines in the 41 OS, a good starting point could be the mini-paper 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 34-digit precision for certain things. Defining special functions like the Normal distribution quantile, Lambert's W or just the Bernoulli numbers will full 10-digit 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 13-digit routines? |
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