{"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 arvu arvutamisel: 31,4 triljonit numbrit","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

\"Uus
\n
\nBailey-Borwein-Plouffe'i valemoodul v\u00f5imaldab eraldi kuusnurkset v\u00f5i binaarset numbrit pi arvust hankida ilma eelnevate arvutusteta (praegune rekord on saavutatud Chudnovsky algoritmi abil, vt allpool).<\/i><\/p>\n

Google Compute Engine'i arvutusklaster arvutas 121 p\u00e4eva jooksul 25 virtuaalmasinas pi suurima numbrikoguse, seades uue maailma rekordi: 31,4 triljonit numbrit p\u00e4rast kommandit. See on esimene kord, kui nii suurt pi arvutust tehti avalikus pilvelahenduses.<\/p>\n

Rekord kantakse \u00fcles Emma Haruka Iwao nimele, kes t\u00f6\u00f6tab Google'i k\u00f5rgtehnoloogiliste arvutuste osakonnas. Just tema kasutas Google Cloud'i infrastruktuuri arvutuste tegemiseks. Eelmine maailma rekord saavutas Peter Truub 2016. aastal, arvutades pi 22,4 triljoni numbrini. spetsiaalselt valmistatud serveris<\/a><\/noindex>, mida sponsoreeris ka tema t\u00f6\u00f6andja.
\n<\/a><\/noindex>
\nNagu Truub, kasutas Google'i insener y-cruncher'it. See programm rakendab Chudnovsky algoritmi<\/a><\/noindex>, mis on kiire algoritm pi arvutamiseks. Juba 80ndatel kasutasid seda Chudnovsky vennad<\/a><\/noindex> n\u00f5nda arvutati miljard koma j\u00e4rel olevat numbrit.<\/p>\n

Oma korda p\u00f5hineb algoritm kiire konvergentsi omadusel h\u00fcpergeomeetrilises reas:<\/p>\n

\"Uus
\n
\nEmma Haruka Iwao sai \u00abmaagilise\u00bb numbri kohta teada matemaatika tunni ajal koolis, writes<\/a><\/noindex> Wired<\/i>. \u00dclikoolis oli \u00fcks tema professoritest, Daisuke Takahashi, rekordite omanik arvutatud numbrite hulgas superarvuti abil. T\u00e4nap\u00e4eval suudab rekordit p\u00fcstitada praktiliselt iga huvitatud insener, kellel on juurdep\u00e4\u00e4s t\u00f5sistele arvutusressurssidele ja suurele andmesalvestusele (arvutuste tulemuste salvestamiseks). 2009. aastal loodud programm y-cruncher<\/a><\/noindex> on m\u00f5eldud matemaatiliste konstantide, n\u00e4iteks pii, arvutamiseks. See toetab massilist mitme l\u00f5ime kasutamist ja triljonilist vahemikku. See programm on tegelikult kommoditiseerinud konstantide arvutamise.<\/p>\n

\u00abSul on vaja \u00fcsna suur arvuti, et murda maailmarekord, \u2014 \u00fctleb Ivao. \u2014 Poest ostetud arvutile see ei \u00f5nnestu, seet\u00f5ttu on inimesed varem ehitanud kohandatud masinaid.\u00bb Septembris 2018 hakkas Ivao uurima, kuidas tehniliselt toimib arvutuste protsess, mis \u00fcletab rekordi piire. Kohe oli selge, et peamiseks probleemiks saab olema andmete salvestamise maht. L\u00f5ppkokkuv\u00f5ttes selgus, et arvutatud tulemus v\u00f5tab 170 terabaiti. Erinevalt kohandatud serverite kokkupanekust, nagu eelk\u00e4ijad, kasutas ta Google Cloudi infrastruktuuri.<\/p>\n

\"UusIvao t\u00f5stes 25 virtuaalmasinat: \u00abKuid selle asemel, et vajutada seda virtuaalmasina nuppu 25 korda, automatiseerisin selle, \u2014 selgitab ta. \u2014 Sa saad selle tehtud paariga minutiga, kuid kui sul on nii palju arvuteid, siis kulub k\u00f5ikide seadistamiseks mitu p\u00e4eva.\u00bb Seej\u00e4rel haldas Ivao pidevalt 121 p\u00e4eva jooksul y-cruncher'i t\u00f6\u00f6d nendel 25 virtuaalmasinal. <\/p>\n

Korrektsete arvutuste jaoks pidid virtuaalsed masinad pidevalt t\u00f6\u00f6tama. Insener seadis \u00fcles monitooringus\u00fcsteemi, mis hoiataks teda, kui midagi l\u00e4heks valesti, n\u00e4iteks kui \u00fcks virtuaalmasinatest eba\u00f5nnestuks. \u00dckski rike \u2014 isegi paariks minutiks \u2014 v\u00f5iks ohustada kogu arvutusprotsessi, kui mitte varukoopia.<\/p>\n

\"Kraaneris ja Google Cloudis on varundamiss\u00fcsteemid, ja ma seadistasin need nii, et v\u00f5iksite neid kettaid koheselt varundada, arvutusi peatamata,\" \u00fctleb Ivao. Need andmed kopeeriti seej\u00e4rel ja salvestati v\u00e4liselt, teistele kettale, hetkepiltidena.<\/p>\n

\"Alguses oli mitu parameetrit, mida ma muutsin, n\u00e4iteks kui palju andmeid te saate korraga lugeda v\u00f5i kirjutada, ja kuidas piirid muutuvad, kui need suurenevad,\" \u00fctleb Ivao.<\/p>\n

Numbrite arvu suurenemisega suurenes ka failide maht, ja arvutuste keerukus kasvas mittelineaarselt. See v\u00e4ga keeruliseks muutis algse arvutuse, kui Ivao p\u00fc\u00fcdis v\u00e4lja selgitada, millist virtuaalmasinate ressursi ta projekti jaoks vajab.<\/p>\n

N\u00fc\u00fcd on nii arvutused kui ka tulemuste kontrollimine l\u00f5petatud: y-cruncherisse on integreeritud kaks p\u00f5hialgoritmi \u2013 \u00fcks pi arvestamiseks ja teine tulemuse kontrollimiseks. Kontrollimisalgoritm t\u00f6\u00f6tab paralleelselt arvutamisega, kuid arvutab ainult \u00fche numbri, nii et rekordit saab ametlikult registreerida.<\/p>\n

\nTeoreetiliselt on v\u00f5imalik seada uus maailmarekord, kui v\u00f5tta lihtsalt eelmine fail ja rakendada Baylori \u2013 Borweini \u2013 Plaffi valemit, et arvutada veel \u00fcks number. Kuid see rikub t\u00f5en\u00e4oliselt selliste maailmarekordite registreerimise reegleid: t\u00f5en\u00e4oliselt peab iga kandidaat arvutama alates nullist. Alternatiivina: parandada eelmist saavutust N% v\u00f5rra, mis ei ole Baylori \u2013 Borweini \u2013 Plaffi valemi kohaselt v\u00f5imalik.<\/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 \u03c0 arvutamisel: 31,4 triljonit numbrit | ProHoster","description":"Bailey-Borwein-Plouffe'i valem, mis v\u00f5imaldab v\u00e4lja v\u00f5tta igasuguseid konkreetseid kuueteistk\u00fcmnendikke v\u00f5i binaarset numbrit \u03c0-st, ilma et peaks arvutama eelnevaid (praegune rekord saavutati Chudnovsky algoritmi abil, vaata allpool) Google Compute Engine'i arvutusklaster arvutas 121 p\u00e4eva jooksul 25 virtuaalmasinal k\u00f5ige suurema arvu n\u00e4itajaid \u03c0-s, seades sellega uue maailmarekordi: 31,4 triljonit numbrit.","canonical_url":"https:\/\/prohoster.info\/et\/blog\/administrirovanie\/novyj-mirovoj-rekord-po-vychisleniyu-chisla-pi-31-4-trln-znakov","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":null,"og:locale":"et_EE","og:site_name":"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b","og:type":"article","og:title":"\ud83e\udd47\u041d\u043e\u0432\u044b\u0439 \u043c\u0438\u0440\u043e\u0432\u043e\u0439 \u0440\u0435\u043a\u043e\u0440\u0434 \u043f\u043e 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