And here's BigInteger at work finding large Mersene Primes. https://youtu.be/-Snd7a55FrE
I'm gonna have to do the same in python with Decimal. What about the N() method in SAGE and numpy? Regards, Al Sent from BlueMail On Feb 2, 2020, 19:18, at 19:18, kirby urner <kirby.ur...@gmail.com> wrote: >Hi Jorge -- > >I agree, it'd be interesting to apply a Riemann Sum algorithm using >arbitrary precision as the number crunching type, versus IEEE754. > >Freed from FORTRAN, you would have that option. I'll do it now... > >[ sometime later ] > >Here's a sandbox version: >https://repl.it/@kurner/computepi > >I'm comparing the convergent Rsum you give with one of Ramanujan's: > >pi = 3.141591653589626571795976716612836217532486859692 >start_time = 23183.62579051 >end_time = 23205.729972367 >elapsed time = 22.104181857001095 seconds > >Ramanujan's converges really quickly, after 100 terms: > >pi = 3.141592653589793238462643383279502884197169399375 >start_time = 23205.731066136 >end_time = 23205.838047055 >elapsed time = 0.10698091900121653 seconds > >That 2nd answer is correct as far as I'm showing it. One may tweak the >repl to get even more precision. > >I wonder how fast REPL.it is compared to my R-Pi. I'll be checking >that >later. > >You're getting into clustering, cool! > >That's a deep topic, with or without converging to Pi, wish I knew >more. > >Kirby > >On Fri, Jan 31, 2020 at 8:30 PM <calcp...@aol.com> wrote: > >> Hi Kirby, >> >> Love your post about arbitrary precision. I wish I had seen it before >I >> started a project with my students computing PI on a Linux Cluster. >> Here's my blog post about our project so far if anyone is interested, >> >> >https://shadowfaxrant.blogspot.com/2019/12/cistheta-2019-2020-meeting-7-121519.html >> >> Regards, >> A. Jorge Garcia >> Teacher and Professor >> Applied Math, Physics and Computer Science >> http://shadowfaxrant.blogspot.com >> http://www.youtube.com/calcpage2009 >> >>
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