The forensics algorithm for the 10s « Next Oldest | Next Newest »

 ▼ Palmer O. Hanson, Jr. Unregistered Posts: 901 Threads: 113 Joined: Jun 2007 01-19-2010, 10:20 PM I had a good weekend for collecting by finding a Pickett N-500S in very good condition for two dollars, a old paper reactance slide rule by Shure for a dollar, and a HP-10s for three dollars. I ran Mike Sebastian's forensic algorithm on the 10s. The answer is 9.000000002124 . The eight zeroes after the decimal point makes the result better than any other HP machine listed at Mike's site. Am I doing something incorrectly or is the 10s really that good? ▼ Gerson W. Barbosa Unregistered Posts: 2,761 Threads: 100 Joined: Jul 2005 01-19-2010, 10:46 PM Quote: The answer is 9.000000002124 . The eight zeroes after the decimal point makes the result better than any other HP machine listed at Mike's site. The HP-30S, also listed at the site, returns 9.000000000, for which Rodger Rosenbaum has provided an explanation:Edited: 19 Jan 2010, 10:48 p.m. ▼ Palmer O. Hanson, Jr. Unregistered Posts: 901 Threads: 113 Joined: Jun 2007 01-20-2010, 04:25 AM The end of Rodger's dissertation states: Quote: So finally, this is why the HP30S gets exactly 9.00000000000000000 when running the calculator forensics test. To see the real error, one should subtract the input argument of the test from the final result. That is, do: arcsin(arcos(arctan(tan(cos(sin(9))))))-9 On the HP30S, the result is 0, leading one to believe that the HP30S is *really* accurate. But redo the test as: arcsin(arcos(arctan(tan(cos(sin(9.1))))))-9.1 to foil its rounding near integers and see a result: 4.833288903E-11 Not all that great for a calculator that can do 24 digit calculations, eh? I did the Rodger's 9.1 version of the forensics algorithm on my 10s and received 9.100000002602 . Does that suggest that the 10s isn't doing any of the funny arithmetic that Rodger was writing about? ▼ Gerson W. Barbosa Unregistered Posts: 2,761 Threads: 100 Joined: Jul 2005 01-20-2010, 07:03 AM Quote: Does that suggest that the 10s isn't doing any of the funny arithmetic that Rodger was writing about? Yes, apparently the 10s isn't doing any trick to make it look more accurate than it really is, otherwise it would return 9.00000000000 in the original test. Assuming the algorithms are correct, it is possible internal calculations are carried out with 15 or 16 digits internally. On classic 12-digit HP calculators intermediate results are rounded to the number of digits of the display, so the forensic results will be a bit away from 9, even though the algorithms are flawless: It looks like HP is back to its original philosopy (see Katie's result for the 30b below). Katie Wasserman Unregistered Posts: 1,477 Threads: 71 Joined: Jan 2005 01-19-2010, 11:25 PM The 30b comes in at 8.99999864267, the same as the Pioneers (20S, 32S, etc.). -Katie

 Possibly Related Threads… Thread Author Replies Views Last Post HP 10s+ Easter Egg (Statistics) Eddie W. Shore 1 938 04-11-2013, 04:25 PM Last Post: Andrew Feist HP 10s+ hardware Mic 1 1,149 04-07-2013, 07:52 PM Last Post: Eddie W. Shore Review of the HP-10S+ Mic 0 882 12-30-2012, 09:06 AM Last Post: Mic HP 10S+ order on DeRekenwinkel.nl Mic 2 1,208 12-06-2012, 04:44 AM Last Post: Klaas Kuperus Question about a "combinations" algorithm Namir 9 2,485 09-20-2012, 04:51 PM Last Post: Gilles Carpentier Linear Programming - Simplex Algorithm LarryLion 5 1,632 09-04-2012, 10:57 PM Last Post: David Hayden HP 10S mixed up keys Iqbal 0 837 05-19-2012, 08:54 AM Last Post: Iqbal Algorithm for fitting a logistic curve? Tim Wessman 5 1,742 11-13-2011, 01:22 AM Last Post: Wes Loewer HP-15C LE calculator forensics? Joel Setton (France) 19 4,445 09-11-2011, 08:01 AM Last Post: Dieter A fast and compact algorithm for the normal quantile Dieter 13 3,340 04-22-2011, 07:11 PM Last Post: Paul Dale

Forum Jump: