Approximate pi to 24 digits via keyboard
02-05-2015, 02:32 PM (This post was last modified: 02-05-2015 02:43 PM by Dieter.)
Post: #28
 Dieter Senior Member Posts: 2,397 Joined: Dec 2013
RE: Approximate pi to 24 digits via keyboard
(02-02-2015 06:46 PM)Rick314 Wrote:  Thank you Dieter. I found your table very interesting and quite a disappointment. It should be added to the HP-35S Bug List.

Then let's start a 41C bug list, a 67/97 bug list, any many others. Loss of accuracy in the sine function (and probably others) for arguments close to pi is a common problem. Let's look at our good old trusted and beloved 41C:

Code:
 x             41C sin(x)       comment --------------------------------------------------- 3,1           4,158066243 E-2   exact 3,14          1,592652917 E-3   almost exact 3,141         5,926533553 E-4   1 digit off 3,1415        9,265358987 E-5   2 digits off 3,14159       2,65359 E-6       3(4) digits lost *) 3,141592      6,5359 E-7        4(5) digits lost *) 3,1415926     5,359 E-8         5(6) digits lost *) 3,14159265    3,59 E-9          6(7) digits lost *) 3,141592653   5,9 E-10          7(8) digits lost *) ---------------------------------------------------                                 *) last digit is 0

I assume the 67/97, the 34C, 25/29 and other well-reputed HPs will behave in a similar way.

Dieter
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 Messages In This Thread Approximate pi to 24 digits via keyboard - Rick314 - 01-30-2015, 06:35 PM RE: Approximate pi to 24 digits via keyboard - PANAMATIK - 01-30-2015, 07:22 PM RE: Approximate pi to 24 digits via keyboard - Rick314 - 01-30-2015, 07:53 PM RE: Approximate pi to 24 digits via keyboard - Gilles - 01-30-2015, 08:38 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 01-31-2015, 07:11 AM RE: Approximate pi to 24 digits via keyboard - Gilles - 01-31-2015, 11:25 AM RE: Approximate pi to 24 digits via keyboard - Dieter - 01-31-2015, 06:17 PM RE: Approximate pi to 24 digits via keyboard - Gerson W. Barbosa - 02-02-2015, 02:57 AM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-02-2015, 06:56 AM RE: Approximate pi to 24 digits via keyboard - Dieter - 01-31-2015, 07:06 AM RE: Approximate pi to 24 digits via keyboard - Rick314 - 02-01-2015, 12:21 AM RE: Approximate pi to 24 digits via keyboard - J-F Garnier - 02-01-2015, 08:41 AM RE: Approximate pi to 24 digits via keyboard - Rick314 - 02-01-2015, 05:44 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-01-2015, 02:12 PM RE: Approximate pi to 24 digits via keyboard - EdS2 - 02-01-2015, 08:08 PM RE: Approximate pi to 24 digits via keyboard - Thomas Klemm - 02-01-2015, 11:07 AM RE: Approximate pi to 24 digits via keyboard - J-F Garnier - 02-01-2015, 11:34 AM RE: Approximate pi to 24 digits via keyboard - Han - 02-02-2015, 11:01 PM RE: Approximate pi to 24 digits via keyboard - Mark Hardman - 02-03-2015, 12:01 AM RE: Approximate pi to 24 digits via keyboard - rprosperi - 02-03-2015, 12:33 AM RE: Approximate pi to 24 digits via keyboard - Thomas Klemm - 02-01-2015, 04:27 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-01-2015, 05:34 PM RE: Approximate pi to 24 digits via keyboard - Thomas Klemm - 02-01-2015, 07:24 PM RE: Approximate pi to 24 digits via keyboard - Rick314 - 02-01-2015, 09:17 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-01-2015, 10:25 PM RE: Approximate pi to 24 digits via keyboard - Gerson W. Barbosa - 02-02-2015, 02:43 AM RE: Approximate pi to 24 digits via keyboard - Rick314 - 02-02-2015, 06:46 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-05-2015 02:32 PM RE: Approximate pi to 24 digits via keyboard - Gerson W. Barbosa - 02-05-2015, 10:59 PM RE: Approximate pi to 24 digits via keyboard - Claudio L. - 02-06-2015, 03:03 PM RE: Approximate pi to 24 digits via keyboard - Marcus von Cube - 02-06-2015, 07:16 PM RE: Approximate pi to 24 digits via keyboard - PANAMATIK - 02-06-2015, 04:10 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-06-2015, 06:34 PM RE: Approximate pi to 24 digits via keyboard - Werner - 02-06-2015, 11:16 AM RE: Approximate pi to 24 digits via keyboard - Werner - 02-07-2015, 06:25 AM RE: Approximate pi to 24 digits via keyboard - Marcus von Cube - 02-07-2015, 11:15 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-08-2015, 05:00 PM

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