Riemann's Zeta Function - another approach (RPL)

[Dieter]

(08-05-2017 04:36 AM)Gerson W. Barbosa Wrote:  

Code:

 02 X<=0?
 03 X=0?
 04 GTO OO
 ...

I see you get the idea. ;-)

(08-05-2017 04:36 AM)Gerson W. Barbosa Wrote:  Lesson learned, thanks! I knew there was a better way, but I wouldn't remember.

Starting quite exactly five years ago, this thread in the old forum may refresh your memories in this regard.

(08-05-2017 04:36 AM)Gerson W. Barbosa Wrote:  In the olden days I had no 41, but I did have a 15C which had all the 12 conditional tests, Gamma, complex mode and a few other thing the 41 lacked :-)

Hmmm... then I think of a complete set of flag tests as provided by the '41. ;-) Here the old tricks may help for the one or other elegant solution in a 15C program. On the 67/97 I love things like F2? F2? for a FC?C test, or three consecutive tests for more obscure applications. Or even four, like in the linked thread. I think I remember there also was an artice in an HP Journal issue...

(08-05-2017 04:36 AM)Gerson W. Barbosa Wrote:  This has replaced what I had in Free42 (per Natural Selection).

Fine. Let me know if you find any cases where – at least for x>0,5 – the 12th digit is off by more than 1 unit. I hope you don't. ;-)
With the applied correction term (line 128 ff.) the error for x>2 should be less than 1 unit in the 13th place.

Dieter