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Resuming an old post......................while crunching numberes - aurelio - 09-24-2012 Hi all! just a couple of days ago, I was trying to calculate with programs written for hp67 (stat pac), HP41c and HP42s (J.Baillard, thanks) n! of an integer (5.850 or 5,850 for the ones who use the comma in place of dot).... Here below the porformances (crunching time) HP67 >>>>>>>>>>>>>> 2h 15' HP41c >>>>>>>>>>>>> 20 ' HP41c emulator>>>>> 14' HP42s >>>>>>>>>>>>> 11' Hp42s emulator>>>>> 3'' (woah!) HP49g+(build in fn) 20' not yet tested with WP34s Really we moved in the last years from the moon to mars!
Edited: 26 Sept 2012, 9:05 a.m. after one or more responses were posted
Re: Resuming and old post......................while crunching numberes - Gerson W. Barbosa - 09-24-2012 Quote:Because there is not such a calculator, I presume :-) Re: Resuming and old post......................while crunching numberes - Olivier De Smet - 09-24-2012 Tested on go49g (built-in in exact mode) on a galaxy tab10.1: 180 seconds :) (a number of 19500 digits with 1460 '0' at the end)
P.S. I'm curious about the HP67/97 program for testing it on my emulators ... Edited: 24 Sept 2012, 6:22 p.m.
Re: Resuming and old post......................while crunching numberes - aurelio - 09-25-2012 Quote:
Re: Resuming and old post......................while crunching numberes - Gerson W. Barbosa - 09-25-2012 I know you meant the WP 34S, sorry! This only reflects our desire to have the WP 42S one day :-)
Re: Resuming and old post......................while crunching numberes - Frido Bohn - 09-25-2012 <10 '' Galaxy Tab 7'' using Wolfram Alpha App (Android) Re: Resuming and old post......................while crunching numberes - jerome ibanes - 09-25-2012 Hm, I'd really like to know how long this takes on the WP.
Re: Resuming and old post......................while crunching numberes - Paul Dale - 09-26-2012 5850! overflows double precision, although the internal numeric format will represent this just fine -- it supports truly huge exponents. The answer is of the order of 1019499 which is tiny in comparison. We can do better of course. Log gamma just happens to be a built-in function. LnGamma of 5851 takes under a second and returns 44899.3081516.... divide this by Ln(10) and get 19499.5217715.... take the fractional portion and raising 10 to this power gives: 3.324845739721310138138472210374560 x 1019499. So 29 accurate digits in a few seconds manually and under a second from a program. I did all this in double precision mode -- single precision won't be any faster. I'm not going to find the precise overflow threshold for factorial, however 2000! doesn't overflow double precision mode. - Pauli
Edited: 26 Sept 2012, 6:48 a.m.
Re: Resuming an old post......................while crunching numbers - Walter B - 09-26-2012 2123! is the last working before an overflow error in double precision.
Re: Resuming an old post......................while crunching numbers - Paul Dale - 09-26-2012 What about the fractional part? Factorial is really a gamma function :-)
- Pauli
Re: Resuming an old post......................while crunching numbers - Gerson W. Barbosa - 09-26-2012 The program below gives a very rough approximation of x (x > 1.5), given x!: 6145 10^x A --> 2123.51 x! --> 7.64e6144 Gerson.
001 LBL A
Re: Resuming an old post......................while crunching numbers - Walter B - 09-27-2012 By nested intervals, I get 1HIG in double precision Edited: 27 Sept 2012, 5:05 a.m.
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