how to calculate full Pi?

[au3scr]

Here I tried to calculate pi , but I couldn't get 100 decimal places.This script calculates.

How could I do it?

$val = Round( 768 * Sqrt(2 - Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + 1))))))))),100)
MsgBox (1,"Pi value",$val)

at last i want result like this: 3.14159265358979323846264338327950288419716939937510

quote from other site

  Quote

So far we know 1.7 trillion digits

Edited January 8, 2009 by au3scr

[FireFox]

@au3scr

Like you say its impossible to calculate pi...

search on google 100first decimales and write it as a string ($pi = 3.14159....)

Edit : I dont think if we know how to calculate pi ... its just a number given

Cheers, FireFox.

Edited January 8, 2009 by FireFox

[Josbe]

  au3scr said:

Here I tried to calculate pi , but I couldn't get 100 decimal places.This script calculates.

How could I do it?

$val = Round( 768 * Sqrt(2 - Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + 1))))))))),100)
MsgBox (1,"Pi value",$val)

at last i want result like this: 3.14159265358979323846264338327950288419716939937510

quote from other site

Remember the 15-digit precision.

*me thinking: Rather than calculated, why not use it simply as a constant?

[au3scr]

but how is calculated this one?

http://www.wikihow.com/Memorize-Pi

There must be a way to do it or any else programming language that can do it?

[FireFox]

@au3scr

no... its not precise at all like your tip : 100 decimal or more or like your calc for school

Cheers, FireFox.

[cowmoo]

Not sure how many decimals this is...but:

Global Const $PI = 3.1415926535897932384626433832795028841971693993751058209749 & _
   445923078164062862089986280348253421170679821480865132823066470938 & _
   446095505822317253594081284811174502841027019385211055596446229489 & _
   549303819644288109756659334461284756482337867831652712019091456485 & _
   669234603486104543266482133936072602491412737245870066063155881748 & _
   815209209628292540917153643678925903600113305305488204665213841469 & _
   519415116094330572703657595919530921861173819326117931051185480744 & _
   623799627495673518857527248912279381830119491298336733624406566430 & _
   860213949463952247371907021798609437027705392171762931767523846748 & _
   184676694051320005681271452635608277857713427577896091736371787214 & _
   684409012249534301465495853710507922796892589235420199561121290219 & _
   608640344181598136297747713099605187072113499999983729780499510597 & _
   317328160963185950244594553469083026425223082533446850352619311881 & _
   710100031378387528865875332083814206171776691473035982534904287554 & _
   687311595628638823537875937519577818577805321712268066130019278766 & _
   111959092164201989938095257201065485863278865936153381827968230301 & _
   952035301852968995773622599413891249721775283479131515574857242454 & _
   150695950829533116861727855889075098381754637464939319255060400927 & _
   701671139009848824012858361603563707660104710181942955596198946767 & _
   837449448255379774726847104047534646208046684259069491293313677028 & _
   989152104752162056966024058038150193511253382430035587640247496473 & _
   263914199272604269922796782354781636009341721641219924586315030286 & _
   182974555706749838505494588586926995690927210797509302955321165344 & _
   987202755960236480665499119881834797753566369807426542527862551818 & _
   417574672890977772793800081647060016145249192173217214772350141441 & _
   973568548161361157352552133475741849468438523323907394143334547762 & _
   416862518983569485562099219222184272550254256887671790494601653466 & _
   804988627232791786085784383827967976681454100953883786360950680064 & _
   225125205117392984896084128488626945604241965285022210661186306744 & _
   278622039194945047123713786960956364371917287467764657573962413890 & _
   865832645995813390478027590099465764078951269468398352595709825822

I'm pretty sure its around 2000.

Edited January 8, 2009 by cowmoo

[Jos]

That will work on a 15 digit float

[FireFox]

@comwoo

Im sure with you we can have atomic precision

Cheers, FireFox.

[au3scr]

cowmoo how did you get that? u calculated or found from internet?

I wanna make program that calculates all number.

[cowmoo]

  au3scr said:

cowmoo how did you get that? u calculated or found from internet?

I wanna make program that calculates all number.

Do you seriously want to calculate over 1.7 Trillion numbers?

I found a script that used that a while back and brought it here.

Edited January 8, 2009 by cowmoo

[Josbe]

  au3scr said:

cowmoo how did you get that? u calculated or found from internet?

I wanna make program that calculates all number.

What? All numbers?

Supercomputer Hitachi needed about 500hrs for calculate 1,241,100,000,000 decimal digits.

[FireFox]

@Josbe

your link about autoitv3 limits is very interessant...

Is these limit has been calculate or you've tested it

I can try to beat some records

Cheers, FireFox.

Edited January 8, 2009 by FireFox

[au3scr]

oh I'd better cancel. I didn't even thought tha it would take so long time.

[Achilles]

  au3scr said:

oh I'd better cancel. I didn't even thought tha it would take so long time.

Just so you know, Pi is an irrational number... If you have any idea what that means you'll know that it doesn't end and that there is no known pattern to how the digits repeat. That means you can't calculate ALL the digits of pi.

[PsaltyDS]

  au3scr said:

cowmoo how did you get that? u calculated or found from internet?

I wanna make program that calculates all number.

You are right, pi can be calculated.* This has been discussed before, in many places.

To go beyond 16 decimal places, you will have to abandon AutoIt's standard number types and start parsing long strings instead, the formula will involve some calculus, and you will find AutoIt terribly slow for this kind of work.

To get Pi at the available precision in AutoIt's number formats:

$Pi = 4 * ATan(1)

*Edit: To an arbitrarily large number of digits (i.e to 100 places). It is an irrational number and cannot be precisely enumerated, of course.

Edited January 8, 2009 by PsaltyDS