5 bilionów cyfr liczby Pi
- Dodano: 6 August 2010
- Wprowadził: Szymon Barczak
- Komentarze: 246
Alexander J. Yee oraz Shigeru Kondo ustanowili nowy światowy rekord dotyczący kolejnych poznanych cyfr liczby Pi.
5 bilionów cyfr, to największy obecnie szczyt, po który sięgnęło dwóch Japończyków. Liczba jest na tyle ogromna, że nie podano jej na stronie internetowej, a dostępna jest na życzenie. W celu zdobycia 5 bilionów cyfr liczby Pi, należy skontaktować się z Shigeru.
Cały proces zajął trzy miesiące. Liczba była wyliczana na komputerze Shigeru, który był specjalnie dedykowany temu zadaniu. W celu zapewnienia środowiska obliczeniowego, Japończycy musieli użyć 22 TB dysków, a kolejne 3,8 TB na zapisanie wyniku obliczeń. Wyliczona przez komputer Shigeru liczba zapisana w nieskompresowanym pliku tekstowym zajmuje 8,32 TB.
Do obliczeń wykorzystano komputer z dwoma procesorami Intel Xeon X5680 3.33 GHz, 96 GB RAM DDR3 1066MHz, 20 dyskami twardymi, dwoma kontrolerami RAID, a nad wszystkim czuwał… Windows Server 2008.
Japończycy mówią, iż dokonali obliczeń, bo… jest to liczba Pi, a dwa – żeby pokazać, że się da.
Więcej informacji: http://www.numberworld.org/misc_runs/pi-...tails.html
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http://osnews.pl/rekordowe-pi/
Przy różnicach sprzętowych myślałem że znacznie więcej miejsc obliczą
Powiem że robi to wrażenie. Zwłaszcza to jak duży jest rozmiar końcowy pliku z wynikiem.
Czy to ma jakies zastosowanie czy liczenie Pi to tylko tak zeby byc w ksiedze rekordow?
Mozesz dokladniej policzyc pole kola
I to z dokładnością do 5 bilionów cyfr
Przyda się jak będziemy dzielić galaktykę na działki
Jak to wyżej policzyłem – nie, nie przyda się. Do tego wystarczy 100 cyfr.
E tam a skąd u Ciebie ta wszechwiedza?
. Wszechświat jest nieskończony. Nie skończony kapujesz 
Pzdr.
Jacek
Nieskończony lecz ograniczony. Jeśli w takiej 'nieskończoności' zaczniesz liczyć obwód koła, to dla każdego wyjdzie nieskończoność (bo przecież okrąg nigdzie nie ma końca, tylko się zawija), więc tym bardziej nie ma potrzeby dla większej dokładności pi (ani w ogóle jej stosowania).
Nie ma żadnego, tak duża skala liczb przekracza skale fizyczne istniejące we wszechświecie.
"Nie ma żadnego," – z tym sie zgodze…
"tak duża skala liczb przekracza skale fizyczne istniejące we wszechświecie." – z tym nie bardzo…
Akurat w przypadku bellara miało – zastosowanie wielordzeniowości w nowoczesnych łączonych algorytmach matematycznych
@melhiore – to proszę podaj dwa wymiary czegoś fizycznego oraz liczbę cyfr liczby reprezentującej ich skalę. Bo mi do głowy przychodzą tylko liczby rzędu 10^60, czyli mikroskopijnie małe w porównaniu z 8 TB zapisu (10^1000000000000).
Tfu, wcześniej nie skończyłem liczyć wykładnika, a teraz to skopiowałem. Oczywiście powyższe to bzdura.
A nie, dobrze te zera tam policzyłem jednak… (dokładnie to jest 8,32*10^(10^12)) – natomiast uściślę, że we wszechświecie skale są rzędu 10^80. Liczba atomów we wszechświecie jest mniejsza niż 1 googol (10^100), na którego zapisanie dziesiętne potrzeba 101 bajtów. Krótko mówiąc można stwierdzić, że nie ma praktycznego zastosowania wyznaczanie żadnej liczby bezwymiarowej (współczynnika) z dokładnością większą niż 100 cyfr (licząc od najbardziej znaczącej cyfry).
Idźmy dalej: widzialna część wszechświata ma średnicę 10^27 metrów, czyli największy okrąg, jaki moglibyśmy chcieć 'obmierzyć', miałby mniej niż 10^28 metrów. Przy pomiarach ogranicza nas długość Plancka, tj. 10^-35 metra. Zatem ile cyfr liczby pi potrzeba? Nasz okrąg będzie miał:
2*3,14xxxxxxx*10^(28+35)
długości Plancka. Mógłbym przytrzymać chwilę palec na zerze, z pewnością nie będzie to bilion cyfr.
no jak to co szukają prawidłowości
umówmy się panowie, w języku polskim nie ma czegoś takiego jak bilion dobrze? straszny błąd powielany przez wszystkie media. Wy nie musicie popełniać takiej gafy prawda? co jest złego w miliardach? no co jest w nich takiego złego? Miliard to miliard… błagam.
Ależ w j. polskim jest bilion. 1 bilion = tysiąc miliardów.
jest bilion. owszem, media często błędnie tłumaczą billion jako bilion (zamiast miliard). warto sprawdzić, zanim się coś takiego napisze (po angielsku jest: 5 trillion digits).
No to ja już nie kumam o co chodzi
pl ang
1 milion = 1 milion
1 miliard = 1 bilion
1 bilion = 1 trilion
Czyli w artykule jest prawidłowo.
Wszystko jest ok, to tylko amerykanie są dziwni. Reszta świata (w tym japonia) uważa, że 1 bilion to 10^12.
Sam popełniasz gafę – zobacz na rozmiar zapisanej liczby, skoro jest w TB, to chodzi o polskie biliony (amerykańskie tryliardy).
Nie ma amerykańskich tryliardów. Chodzi ci raczej o krótki trylion.
A TB to nie TeraBytes, czyli 10^12? (wg japońców mieli na myśli bardziej 2^40)
Wg wikipedii TeraByte to 1 trillion short scale
, czyli nie po naszemu 10^18 ale 10^12 
. A to będzie nasz bilion (10^12).
Ale uwaga jest też angielskie "long scale", czyli 10^18 – to tak aby było prościej
PS: Chyba zanim na poważnie ruszymy w kosmos, wypada by to uporządkować, bo mogą być problemy z trafieniem do celu
@jacek2v: "A TB to nie TeraBytes, czyli 10^12? [...] A to będzie nasz bilion (10^12)."
No i po co podpinasz ten komentarz pode mną? Przecież właśnie to napisałem.
A niejasne było to dopisałem. Nie obrażaj się
Pzdr.
Jacek
Przepraszam, ale denerwują mnie ludzie którzy myślą, że coś wiedzą. Bilion to 10^12 jako prefiks SI ( odpowiednik Tera ) natomiast w krajach anglojęzycznych jest to 10^9 czyli Miliard jako prefiks SI ( odpowiednik Giga). Swoją drogą podziwiam ich. Zapchać komputer plikiem tekstowym to nic wielkiego. Raz zapisywałem godzine i cykl pamięciowy, oraz cykl procesora do pliku txt. Po wieczorze z piwem i kumplami miałem przeszło 2gb plik txt, więc sam rozmiar mnie nie przeraża – kwestia mielenia dyskiem, natomiast zastanawia mnie w jaki sposób dokonali obliczenia. Chciałem raz napisać program który wykonuje się jobi razy. Dokonałem to ale w barbarzyński sposób stosem pętli, natomiast w obliczaniu pi trzeba jeszcze dokonywać obliczen i gdzies to trzymać. Ciekawe czy użyli jakiś matematycznych bibliotek i typów, czy sami stworzyli coś do obliczania takich rzeczy. Wiadomo w czym to napisali ? Bardzo interesują mnie takie rzeczy jednak bariera jest sprzęt… fajnie było by się dorwać do takiej mocy, a jedyną jaką znam to moc obliczeniowa sieci uczelni, a ona chyba tak lekko nie pozwoliłaby mielić ichnimi prockami nawet w nocy ;p
Jak przeczytasz newsa i odwiedzisz pewne strony w nim podlinkowane to zaspokoisz swoja ciekawosc.
o jakiej mocy obliczeniowej tutaj mowimy? Przeciez to zwykly PC z dwoma Xeon'ami…
Od kiedy to w zwykłych PCach montuje się 22TB dysków i 96GB ramu?
Czasem do testów, jak się ma kasę.
Który "zwykły PC" pozwala na zamontowanie 96 GB RAM-u? Nawet, jeśli się ma kasę…
Taki co ma przystosowaną do tego płytę główną (najczęściej > 1 CPU).
Sa dostepne plyty dwuprocesorowe ktore sa w stanie dzwignac nawet do 144GB RAM. Niedawno zamawialem podobny komputer zlozony przez jakiegos lokalnego dostawce – koszt ponizej 4000 funtow wiec dwa razy tyle co dobry laptop…
20 TB dyskow to jest tylko 12 dyskow 2TB polaczonych w RAID6…. Koszt pojedynczego dysku jest cos w okolic 100 funtow, wiec tez nie sa to jakies ogromne kwoty, do ktorych od razu trzeba centrum superkomputerowego…
zeby nie byc goloslownym…
plyta Supermicro X8DAH+ "dzwiga" do 192GB RAM i kosztuje ok 350GBP
18 kosci po 4GB daja 72GB RAM (Crucial CT51272BB1339) to okolo 2000GBP
do tego jakies dwa Xeony (600 GBP razem) i wszystko zamkniete w porzadna puszke od Supermicro SC745TQ-R800B (okolo 500GBP z zasilaczem redundantnym 2x 800W).
Za podobna maszyne (tylko 72GB RAM a nie 96 jak oni) w maju tego roku zaplacilismy ponizej 4k GBP wliczajac zlozenie, testy i transport.
Wyjątkowo tanio, biorąc pod uwagę, że Kondo płacił 18000$. Tylko, że to nadal nie jest zwykły PC. Pomijam RAM, ale Xeony to CPU typowo serwerowe, nie na desktop. I całość zapewne służy jako serwer, mam rację.
Na końcu miał być "?"
Maszyna byla kupiona jako tania stacja robocza po dolaczniu porzadnej karty graficznej. Niestety kryzys powodowal, ze trzeba bylo szukac tanich opcji.
Xeony czesto wkladamy nawet do slabszych stacji roboczych (wlasciwie desktop'ow) ze wzgledu na obsluge pamieci ECC. Koszt Xeonow z serii 3000 jest praktycznie taki sam jak wyzszych modeli desktopowych procesorow cztero-rdzeniowych.
Oczywiscie przez "tania" mam na mysli w porownaniu z rozwiazaniami duzych producentow…
@pkubaj: Itanium to typowo serwerowy CPU.
Nie Windows Server 2008, tylko Windows Server 2008R2.
Źródło: http://www.physorg.com/news200209829.html
Aha, i zapomniałem. Z linka, który podałem wynika, że Yee jest amerykańskim studentem informatyki, nie japońskim
Jak się pisze newsy to wypada jednak to robić trochę rzetelniej.
Przepraszam. Szczerze mówiąc ledwo rozróżniam poszczególne wersje Windowsów (jestem ignorantem w tej kwestii).
Różnica dość istotna – 2008R2 jest z tej samej gałęzi, co Windows 7, 2008 to zaś linia Visty.
Vista to nie była alfa 7? xD
Nie to był Windows SID później który omyłkowo po trafieniu testing (Vista) z rozpędu został zamrożony. Ponieważ nie było żadnych błędów i działał wyśmienicie na każdym sprzęcie został wydany jako Stable
.
@launchpad.net/~mgol
To ciekawe. A skąd te informacje?
Ja byłem przekonany, że 2008R2 to 2008 z paroma ficzerami, zać Windows 7 to ulepszona Vista, 2008 i Windows 7 mają wspólne jądro i parę ficzerów (np. mają wspólne SP).
skąd pomysł, że to japończycy? ten facet nawet nie mówi po japońsku ("I speak English, Cantonese, and a tiny bit of Mandarin.").
Shigeru Kondo (wlasciciel tego komputera) jest japonczykiem, ten drugi nie. Twoj cytat tyczyl sie wlasnie tego drugiego.
Może nie jest Japończykiem ale zapewne Chińczykiem skoro zna kantoński i trochę mandaryński.
pozatym w japoni nawet niektore japonce gadaja po angielsku ze wzgledu ze nie znaja wszystkich swoich slow i latwiej sie dogadac
ja chce taki komputer…
Ja bym nie chciał. Nie wykorzystując nawet ćwierci możliwości tego komputera, musiałbym zaciągnąć kredyt na opłacenie rachunków za prąd.
Jakbyś wygrał w totka to byś olewał "zwykły" prąd bo byś sobie kupił agregat prądotwórczy i postawił w swoim nowowybudowanym podziemnym bunkrze z super-tajnym centrum dowodzenia wraz z nowoczesną serwerownią
To ile w tego totka można wygrać? Ja słyszałem o max 20 mln…
A nie dało się użyć kart graficznych, aby było szybciej ?
Pewnie się dało, ale musieli by sami napisać program liczący, a optymalne pisanie programow na GPU chyba do prostych nie należy.
Podejrzewam, że napisanie programu na GPU zajęłoby mniej czasu niż obliczanie na CPU
Problemem tutaj wydaje mi się rozmiar pamięci RAM – na GPU montuje się ledwie po 2GB, czyli przy 4 kartach (hardcore) dalej byłoby jakieś 12 razy mniej niż mieli do dyspozycji w tym desktopie.
Nie. Przeczytaj FAQ na stronie. Karta graficzna zapewnia zbyt małą precyzję obliczeń poza tym sam przesył danych kartaRAM byłby nieopłacalny – karta musiałaby mieć dziesiątki GB RAMu.
Swoją drogą przypomina się film PI
Dlaczego liczenie liczby PI może być niebezpieczne
tzn ?
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