HP41: accuracy of 13-digit routines
09-02-2015, 12:03 PM (This post was last modified: 09-02-2015 12:04 PM by Ángel Martin.)
Post: #7
 Ángel Martin Senior Member Posts: 1,443 Joined: Dec 2013
RE: HP41: accuracy of 13-digit routines
(09-02-2015 11:19 AM)Michael Fehlhammer Wrote:  [The only reason why the 41C uses 13 digits internally ( although registers can store 10 digits only ) is to provide 10 digit precision for the results of the more complex functions; due to the used algorithms and error propagation you need these extra 3 digits. Therefore you should not assume that results of log, sin etc. yield more than 10 correct digits.

Yep, and even if they were how would you output it using just the standard X-register approach? Of course HP could have added "double precision" routines like the 16C does for the division and multiplication - where the output would use two stack registers, logically X- and Y- but that's a different story...

ÁM

"To live or die by your own sword one must first learn to wield it aptly."
 « Next Oldest | Next Newest »

 Messages In This Thread HP41: accuracy of 13-digit routines - Dieter - 09-01-2015, 09:23 PM RE: HP41: accuracy of 13-digit routines - Thomas Klemm - 09-02-2015, 04:45 AM RE: HP41: accuracy of 13-digit routines - Dieter - 09-25-2015, 10:46 PM RE: HP41: accuracy of 13-digit routines - Joe Horn - 09-02-2015, 06:11 AM RE: HP41: accuracy of 13-digit routines - Dieter - 09-02-2015, 10:18 AM RE: HP41: accuracy of 13-digit routines - Ángel Martin - 09-02-2015, 11:05 AM RE: HP41: accuracy of 13-digit routines - Michael Fehlhammer - 09-02-2015, 11:19 AM RE: HP41: accuracy of 13-digit routines - Ángel Martin - 09-02-2015 12:03 PM RE: HP41: accuracy of 13-digit routines - Dieter - 09-02-2015, 06:07 PM RE: HP41: accuracy of 13-digit routines - Ángel Martin - 09-03-2015, 06:22 AM RE: HP41: accuracy of 13-digit routines - Dieter - 09-03-2015, 12:36 PM RE: HP41: accuracy of 13-digit routines - Ángel Martin - 09-03-2015, 01:33 PM RE: HP41: accuracy of 13-digit routines - Dieter - 09-03-2015, 06:17 PM RE: HP41: accuracy of 13-digit routines - Ángel Martin - 09-04-2015, 12:07 PM RE: HP41: accuracy of 13-digit routines - Dieter - 09-04-2015, 07:36 PM RE: HP41: accuracy of 13-digit routines - Ángel Martin - 09-04-2015, 09:53 PM RE: HP41: accuracy of 13-digit routines - Dieter - 09-04-2015, 10:24 PM RE: HP41: accuracy of 13-digit routines - Dieter - 09-25-2015, 01:53 PM RE: HP41: accuracy of 13-digit routines - Thomas Klemm - 09-25-2015, 11:33 PM