{"id":42130,"date":"2019-03-18T00:00:00","date_gmt":"2019-03-17T21:00:00","guid":{"rendered":"https:\/\/prohoster.info\/blog\/blog_prohoster\/novyj-mirovoj-rekord-po-vychisleniyu-chisla-pi-31-4-trln-znakov"},"modified":"2020-02-18T13:44:56","modified_gmt":"2020-02-18T10:44:56","slug":"novyj-mirovoj-rekord-po-vychisleniyu-chisla-pi-31-4-trln-znakov","status":"publish","type":"post","link":"https:\/\/prohoster.info\/et\/blog\/administrirovanie\/novyj-mirovoj-rekord-po-vychisleniyu-chisla-pi-31-4-trln-znakov","title":{"rendered":"Uus maailmarekord pi arvutamisel: 31,4 triljonit numbrit","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

\"Uus
\n
\nBailey\u2013Borwein\u2013Plouffe'i valem, mis v\u00f5imaldab v\u00e4lja tuua mis tahes konkreetse heksadesimaalse v\u00f5i binaarse numbri pi arvust ilma eelnevate v\u00e4\u00e4rtuste arvutamiseta (praegune rekord saavutati Chudnovsky algoritmi abil, vaata allpool).<\/i><\/p>\n

Google Compute Engine'i arvutusklaster arvutas 121 p\u00e4eva jooksul 25 virtuaalses masinas v\u00e4lja suurima arvu pi numbreid, seades uue maailmarekordi: 31,4 triljonit numbrit p\u00e4rast koma. See on esmakordne, kui sellise suuruse pi arvu jaoks kasutati avalikult kergesti k\u00e4tte saadavat pilve tarkvara.<\/p>\n

Rekord l\u00e4heb Emma Haruka Iwao nimel, kes t\u00f6\u00f6tab Google'i k\u00f5rge j\u00f5udlusega arvutuste osakonnas. Tema kasutas Google Cloud'i infrastruktuuri arvutamiseks. Eelmine maailmarekord kuulus Peter Truuvale, kes arvutas 2016. aastal v\u00e4lja 22,4 triljonit numbrit. eriti valmistatud serveris.<\/a><\/noindex>, mida toetas ka tema t\u00f6\u00f6andja.
\n<\/a><\/noindex>
\nNii nagu Truu, kasutas ka Google'i insener y-cruncherit arvutamiseks. See programm rakendab Chudnovsky algoritmi<\/a><\/noindex>, kiiret pi arvu arvutamise algoritmi. Juba 80-ndatel aastatel arvutasid Chudnovsky vennad<\/a><\/noindex> selle abil miljard numbrit p\u00e4rast koma.<\/p>\n

Omakorda p\u00f5hineb algoritm kiirelt konvergentsel h\u00fcpergeomeetrilisel reas:<\/p>\n

\"Uus
\n
\nEmma Haruka Iwao sai \u00fcle\u00fcldiselt vaimustuse \"maagilisest\" numbrist, kui ta kuulis sellest oma matemaatika tunnis koolis, kirjutab<\/a><\/noindex> Wired<\/i>. \u00dclikoolis oli \u00fcks tema professoritest, Daisuke Takahashi, rekordimees arvutatud numbrite arvus superarvuti abil. T\u00e4na suudab rekordit seada praktiliselt iga huviline insener, kellel on juurdep\u00e4\u00e4s t\u00f5sistele arvutusressurssidele ja suurele ketta mahutavusele (arvutustulemuste salvestamiseks). 2009. aastal loodud programm y-cruncher<\/a><\/noindex> on m\u00f5eldud matemaatiliste konstantide, n\u00e4iteks pi arvutamiseks. See toetab massiivset mitme l\u00f5ime kasutamist ja triljonilisi vahemikke. See programm on tegelikult matemaatiste konstantide arvutamise commoditiseerinud.<\/p>\n

\u201eSulle on vaja \u00fcsna suur arvuti, et maailmarekordit purustada, \u2013 \u00fctleb Ivao. \u2013 Sellega ei saa hakkama poearvutiga, seet\u00f5ttu ehitasid inimesed varem kohandatud masinaid.\u201c Septembris 2018 hakkas Ivao uurima, kuidas tehniliselt t\u00f6\u00f6taks arvutamine rekordpiiride vahemikus. Esmalt sai selgeks, et peamine probleem on andmete salvestamise maht. L\u00f5puks selgus, et arvutatud tulemus v\u00f5tab 170 terabaiti. Erinevalt eelk\u00e4ijatest, kes kogusid kohandatud serverit, kasutas t\u00fcdruk Google Cloud'i infrastruktuuri.<\/p>\n

\"UusIvao t\u00f5stis 25 virtuaalmasinat: \u201eAga selle asemel, et vajutada seda virtuaalmasina nuppu 25 korda, automatiseeris ma selle, \u2013 selgitab ta. \u2013 Sa saad selle teha m\u00f5ne minutiga, kuid kui sul on nii palju arvuteid, siis kulub k\u00f5ikide seadistamiseks mitu p\u00e4eva.\u201d Aseej\u00e4rel juhtis Ivao 121 p\u00e4eva jooksul pidevalt y-cruncherit nendel 25 virtuaalmasinal. <\/p>\n

Arvutuste t\u00e4psuse tagamiseks pidid virtuaalmasinad pidevalt t\u00f6\u00f6le olema. Insener seadistas j\u00e4lgimisse s\u00fcsteemi, mis hoiatas teda, kui midagi l\u00e4ks valesti, n\u00e4iteks kui \u00fcks virtuaalmasinatest \u00e4kitselt eba\u00f5nnestus. Ainult \u00fcks rike \u2013 isegi m\u00f5neks minutiks \u2013 oleks v\u00f5inud kogu arvutusse protsessi ohtu seada, kui mitte varukoopia t\u00f5ttu.<\/p>\n

\u201eKran\u0161eris ja Google Cloud'is on varukoopiate s\u00fcsteemid, ja ma seadistasin need nii, et sa saaksid neid kettaid kohe varundada, katkestamata arvutusi,\u201c \u2013 \u00fctleb Ivao. Need andmed kopeeriti seej\u00e4rel ja salvestati v\u00e4liselt, teistel ketastel, hetkepiltidena.<\/p>\n

\u201eAlguses oli mitu parameetrit, mida ma muutisin, n\u00e4iteks kui palju andmeid sa said korraga lugeda v\u00f5i kirjutada, ja kuidas piirid muutuvad, kui need suurenevad,\u201c \u2013 \u00fctleb Ivao.<\/p>\n

Numbrite arvu suurenedes suurenes ka failide maht, samas kui arvutuste keerukus kasvas Mittelineaarselt. See tegi algse arvutuse v\u00e4ga keeruliseks, kui Ivao p\u00fc\u00fcdis v\u00e4lja selgitada, kui palju virtuaalmasinate ressursse tal projekti jaoks vaja on.<\/p>\n

N\u00fc\u00fcd on nii arvutused kui ka tulemuse kontrollimise protsess l\u00f5pule viidud: y-cruncher sisaldab kahte p\u00f5hialgoritmi - \u00fcks arvutab pi, teine aga kontrollib. Kontrollimisalgoritm t\u00f6\u00f6tab paralleelselt arvutamisega, kuid arvutab ainult \u00fchte numbrit, nii et rekordit saab ametlikult registreerida.<\/p>\n

\nTeoreetiliselt on v\u00f5imalik seadistada uus maailmarekord, kui v\u00f5tta lihtsalt eelmine fail ja rakendada Bailey-Borweini-Plouffe'i valemit, et arvutada veel \u00fcks number. Kuid see rikub kindlasti maailmarekordite registreerimise reegleid: t\u00f5en\u00e4oliselt peab iga taotleja alustama arvutust nullist. Alternatiivina: parandada eelmist saavutust N% v\u00f5rra, mida Bailey-Borweini-Plouffe'i valemi abil ei \u00f5nnestu.<\/p>\n

Allikas: habr.com<\/a><\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

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\u0437\u043d\u0430\u043a\u043e\u0432 […]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":42131,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[688],"tags":[],"class_list":["post-42130","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-administrirovanie"],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\n","aioseo_head_json":{"title":"\ud83e\udd47Uus maailmarekord pi arvutamisel: 31,4 triljonit numbrit | ProHoster","description":"Bailey-Borweini valem 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