31,415 digits of π

[warped_wart_wars]

...after the ".".

Here it is: (in details tags)

31,415 digits of π

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961567945208095146550225231603881930142093762137855956638937787083039069792077346722182562599661501421503068038447734549202605414665925201497442850732518666002132434088190710486331734649651453905796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007230558763176359421873125147120532928191826186125867321579198414848829164470609575270695722091756711672291098169091528017350671274858322287183520935396572512108357915136988209144421006751033467110314126711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064204675259070915481416549859461637180270981994309924488957571282890592323326097299712084433573265489382391193259746366730583604142813883032038249037589852437441702913276561809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915441101044682325271620105265227211166039666557309254711055785376346682065310989652691862056476931257058635662018558100729360659876

If you want to know how I got that, here's how:

I opened Android's calculator, pressed the pi button, pressed "=", and swiped left on the result a lot.

BTW I did this all on BlueStacks.

Who knew Android's calculator had so much precision?

[bh]

Sounds like Google's idea of a joke. I bet it doesn't have that much precision for any other irrational number.

"The measure of a civilization is the number of digits of pi they know." -- Donald E. Knuth.

(I may have the wording a little wrong; this is from memory.)

[earthrulerr]

I was gonna send 1 million digits of pie but discourse max is 32000:(((

[earthrulerr]

@bh

"The measure of a civilization is the number of digits of pi they know." -- Donald E. Knuth.

"It's so unique. You can go everywhere in the world and never find a place like Berkeley. It's so special, so beautiful, so diverse.”
— UC Berkeley FaceBook

[bh]

I take no responsibility for what the admissions office puts on Facebook.

[sqoosh]

Was the "31,415" intentional?

[warped_wart_wars]

Yep.

@bh it's got e with high precision, e^π with high precision, π^ππ with high precision, √152 with high precision, etc.

[bh]

Huh, okay, I'm impressed.

[warped_wart_wars]

BTW it gives an overflow error for π^πππ. It also gives "Keep it real" for √-1.

[bh]

Sigh.

[warped_wart_wars]

...Which reminded me of Scheme, specifically its numeric tower. And, I found an almost complete interpreter for Scheme.

[earthrulerr]

Why do you have to teach math out of my school time​

[warped_wart_wars]

I'm not teaching math at all.

[bh]

Yeah, the Scheme numeric tower is slowly taking over the world. JS recently added bignum support, which is in a way a step backward, because it postpones the implementation of exact rationals and complex numbers. But I predict the Scheme tower in all major languages in my lifetime. (I think it's available as a library in most languages already.)

[warped_wart_wars]

Python is part of the way there, with infinite precision integers, builtin complex nums, (those use j instead of i, which I think the Python manual says is how complex nums are represented in engineering. Do you know if this is true?) and a standard library for exact rationals.

[warped_wart_wars]

BTW my Snap testing has a newish feature where you can type things like "3+6i", "23/8", "747.32+654" into numeric slots when you have bignums on.

Edit: two post thing:

@warped_wart_wars

π^ππ

@warped_wart_wars

π^πππ

Those are supposed to be π^π^π and π^π^π^π. I don't know why Discourse formatted them wrong.

[bh]

@warped_wart_wars

BTW my Snap testing has a newish feature where you can type things like "3+6i", "23/8", "747.32+654" into numeric slots when you have bignums on.

That sounds like a useful feature. Can you make the code super clean and file a PR? (Not promising it'll get pulled!)

[warped_wart_wars]

Sure! Just have to copy a bit I added to biginteger.js (I think, there are 3-4 bignum files) and edit it a bit. I'll have to wait till tomorrow, though. (Really today, if midnight is the start of the day, but...)

[warped_wart_wars]

When bignums on, make numeric slots accept +-*/ and i by WarpedWartWars · Pull Request #2909 · jmoenig/Snap (github.com)

[cymplecy]

Could I suggest adding a reference to

31,415 digits of π

BTW my Snap testing has a newish feature where you can type things like "3+6i", "23/8", "747.32+654" into numeric slots when you have bignums on. Edit: two post thing: Those are supposed to be π^π^π and π^π^π^π. I don't know why Discourse formatted them wrong.

in your pull request to give Jens some context