{"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\/sq\/blog\/administrirovanie\/novyj-mirovoj-rekord-po-vychisleniyu-chisla-pi-31-4-trln-znakov","title":{"rendered":"Rekordi bot\u00ebror i ri p\u00ebr llogaritjen e numrit pi: 31,4 trilion shenjash","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

\"Rekordi
\n
\nFormula Bailey \u2013 Borwein \u2013 Plouffe, q\u00eb lejon t\u00eb nxjerr\u00ebsh \u00e7do shif\u00ebr specifike heksadecimale ose binare t\u00eb numrit \u03c0 pa llogaritur ato t\u00eb m\u00ebparshme (rekordi aktual u vendos nga algoritmi i Chudnovsky, shih n\u00ebn artikull).<\/i><\/p>\n

Klusteri llogarit\u00ebs i Google Compute Engine p\u00ebr 121 dit\u00eb me 25 makina virtuale llogariti numrin m\u00eb t\u00eb madh t\u00eb shifrave n\u00eb numrin \u03c0, duke vendosur nj\u00eb rekord t\u00eb ri bot\u00ebror: 31.4 trilion shifra pas pik\u00ebs. Ky \u00ebsht\u00eb hera e par\u00eb q\u00eb p\u00ebr llogaritjen e nj\u00eb numri kaq t\u00eb madh \u00ebsht\u00eb p\u00ebrdorur softuer publikuar n\u00eb cloud.<\/p>\n

Rekordi do t\u00eb regjistrohet n\u00eb emrin e Emma Haruka Iwao nga nj\u00ebsi e llogaritjeve me performanc\u00eb t\u00eb lart\u00eb n\u00eb Google. Ajo p\u00ebrdori infrastruktur\u00ebn e Google Cloud p\u00ebr llogaritjet. Rekordi i kaluar bot\u00ebror ishte vendosur nga Peter Treadwell n\u00eb vitin 2016, i cili llogariti numrin deri n\u00eb 22.4 trilion shifra. n\u00eb nj\u00eb server t\u00eb b\u00ebr\u00eb posa\u00e7\u00ebrisht.<\/a><\/noindex>, i cili gjithashtu u sponsorizua nga pun\u00ebdh\u00ebn\u00ebsi.
\n<\/a><\/noindex>
\nSikurse Treadwell, inxhineri i Google p\u00ebrdori y-cruncher p\u00ebr llogaritjen. Ky program p\u00ebrdor algoritmin Chudnovsky<\/a><\/noindex>, nj\u00eb algorit\u00ebm t\u00eb shpejt\u00eb p\u00ebr llogaritjen e numrit \u03c0. Q\u00eb prej viteve '80, vet\u00eb v\u00ebllez\u00ebrit Chudnovsky<\/a><\/noindex> n\u00ebn k\u00ebt\u00eb algorit\u00ebm llogarit\u00ebn nj\u00eb miliard shifra pas pik\u00ebs.<\/p>\n

N\u00eb an\u00ebn tjet\u00ebr, algoritmi bazohet n\u00eb pjes\u00ebn e shpejt\u00eb t\u00eb konvergjenc\u00ebs s\u00eb seris\u00eb hiper-geometrics:<\/p>\n

\"Rekordi
\n
\nEmma Haruka Iwao u magjeps nga numri \"magjik\", pasi e m\u00ebsoi p\u00ebr t\u00eb n\u00eb nj\u00eb m\u00ebsim matematike n\u00eb shkoll\u00eb. raporton<\/a><\/noindex> Wired<\/i>. N\u00eb universitet, nj\u00eb nga profesor\u00ebt e saj, Daisuke Takahashi, ishte nj\u00eb ekspert n\u00eb numrin e shifrave t\u00eb llogaritura duke p\u00ebrdorur superkompjuterin. Sot, rekord mund t\u00eb vendos\u00eb praktikisht \u00e7do inxhinier i interesuar, i cili ka qasje n\u00eb burime t\u00eb m\u00ebdha llogaritur dhe nj\u00eb hap\u00ebsir\u00eb t\u00eb madhe disku (p\u00ebr ruajtjen e rezultateve t\u00eb llogaritjes). Programi i krijuar n\u00eb vitin 2009 y-cruncher<\/a><\/noindex> \u00ebsht\u00eb i destinuar p\u00ebr llogaritjen e konstantave matematike, si \u03c0. Ai mb\u00ebshtet shum\u00eb-threading masiv dhe intervale n\u00eb triliona. Ky program n\u00eb fakt ka b\u00ebr\u00eb t\u00eb mundur llogaritjen e konstantave t\u00eb b\u00ebhet nj\u00eb proces komoditeti.<\/p>\n

\"Ju nevojitet nj\u00eb kompjuter mjaft t\u00eb madh p\u00ebr t\u00eb thyer rekordin bot\u00ebror,\" thot\u00eb Iwao. \"Nuk \u00ebsht\u00eb e mundur t\u00eb b\u00ebhet me nj\u00eb kompjuter nga dyqani, k\u00ebshtu q\u00eb m\u00eb par\u00eb njer\u00ebzit nd\u00ebrtuan makina t\u00eb personalizuara.\" N\u00eb Shtator 2018, Iwao filloi t\u00eb shqyrtonte se si do t\u00eb funksiononte teknologjikisht procesi i llogaritjes n\u00eb nj\u00eb gam\u00eb p\u00ebrtej rekordit aktual. Menj\u00ebher\u00eb u b\u00eb e qart\u00eb se problemi kryesor do t\u00eb ishte sasia e t\u00eb dh\u00ebnave p\u00ebr ruajtje. Si rezultat, rezultati i llogaritur zuri 170 terabajt. N\u00eb vend q\u00eb t\u00eb nd\u00ebrtonte nj\u00eb server t\u00eb personalizuar, si paraardh\u00ebsit, ajo p\u00ebrdori infrastruktur\u00ebn e Google Cloud.<\/p>\n

\"RekordiIwao ngriti 25 makina virtuale: \"Por n\u00eb vend q\u00eb t\u00eb shtypja k\u00ebt\u00eb buton p\u00ebr makin\u00ebn virtuale 25 her\u00eb, un\u00eb e automatizova at\u00eb,\" shpjegon ajo. \"Mund ta b\u00ebsh k\u00ebt\u00eb p\u00ebr nj\u00eb minut\u00eb, por n\u00ebse t\u00eb duhen kaq shum\u00eb kompjuter\u00eb, do t\u00eb duhen disa dit\u00eb p\u00ebr ta vendosur gjith\u00e7ka.\" Pastaj, gjat\u00eb 121 dit\u00ebve, Iwao menaxhoi pun\u00ebn e y-cruncher n\u00eb k\u00ebto 25 makina virtuale. <\/p>\n

P\u00ebr sakt\u00ebsin\u00eb e llogaritjeve, makinat virtuale duhet t\u00eb punonin vazhdimisht. Inxhinieri vendosi nj\u00eb sistem monitorimi, i cili do ta njoftonte n\u00ebse di\u00e7ka shkon keq, p\u00ebr shembull, p\u00ebr nj\u00eb papritur d\u00ebshtim n\u00eb nj\u00eb nga makinat virtuale. Nj\u00eb aksident i vet\u00ebm \u2013 madje edhe p\u00ebr disa minuta \u2013 mund t\u00eb rrezikonte t\u00eb gjith\u00eb procesin e llogaritjeve, n\u00ebse nuk do t\u00eb ishin b\u00ebr\u00eb kopje rezerv\u00eb.<\/p>\n

\"N\u00eb cruncher dhe Google Cloud ka sisteme rezervash, dhe un\u00eb i kam konfigururar ato n\u00eb m\u00ebnyr\u00eb q\u00eb t\u00eb mund t\u00eb b\u00ebhen kopje t\u00eb disk\u00ebve k\u00ebtu, pa e ndalur llogaritjen,\" thot\u00eb Iwao. K\u00ebto t\u00eb dh\u00ebna m\u00eb pas u kopjuan dhe ruajt\u00ebn jasht\u00eb, n\u00eb disqe t\u00eb tjer\u00eb, si nj\u00eb instant t\u00eb shkrepur.<\/p>\n

\"N\u00eb fillim kishte disa parametra q\u00eb un\u00eb i ndryshova, p\u00ebr shembull, sa t\u00eb dh\u00ebna mund t\u00eb lexonit ose shkruanit nj\u00eb her\u00eb, dhe si kufijt\u00eb do t\u00eb ndryshonin me rritjen,\" thot\u00eb Iwao.<\/p>\n

Me rritjen e numrit t\u00eb shifrave, sasia e skedar\u00ebve b\u00ebhej m\u00eb e madhe, dhe kompleksiteti i llogaritjeve rritej n\u00eb m\u00ebnyr\u00eb jo-linear. Kjo e b\u00ebri shum\u00eb t\u00eb v\u00ebshtir\u00eb llogaritjen iniciale, kur Iwao p\u00ebrpiqej t\u00eb llogariste se \u00e7far\u00eb resursesh do t'i duheshin makinave virtuale p\u00ebr projektin.<\/p>\n

Tashm\u00eb jan\u00eb p\u00ebrfunduar si llogaritjet, ashtu edhe kontrolli i rezultatit: n\u00eb y-cruncher jan\u00eb t\u00eb nd\u00ebrtuara dy algoritme themelore \u2013 nj\u00eb p\u00ebr llogaritjen e \u03c0, dhe tjetri p\u00ebr verifikimin. Algoritmi i verifikimit punon paralelisht me llogaritjen, por llogarit vet\u00ebm nj\u00eb shif\u00ebr, k\u00ebshtu q\u00eb rekordi mund t\u00eb regjistrohet zyrtarisht.<\/p>\n

\nTeoretikisht, nj\u00eb rekord i ri bot\u00ebror mund t\u00eb vendoset thjesht duke marr\u00eb skedarin e m\u00ebparsh\u00ebm dhe duke aplikuar formul\u00ebn Bailey \u2013 Borwein \u2013 Plouffe p\u00ebr t\u00eb llogaritur nj\u00eb num\u00ebr tjet\u00ebr. Por kjo ndoshta \u00ebsht\u00eb n\u00eb kund\u00ebrshtim me rregullat e regjistrimit t\u00eb k\u00ebtyre rekordeve bot\u00ebrore: me siguri, \u00e7do pretendues duhet t\u00eb filloj\u00eb llogaritjen nga fillimi. Si nj\u00eb opsion: p\u00ebrmir\u00ebsimi i arritjes s\u00eb m\u00ebparshme me N%, gj\u00eb q\u00eb nuk mund t\u00eb b\u00ebhet me formul\u00ebn Bailey \u2013 Borwein \u2013 Plouffe.<\/p>\n

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

\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0411\u044d\u0439\u043b\u0438 \u2014 \u0411\u043e\u0440\u0443\u044d\u0439\u043d\u0430 \u2014 \u041f\u043b\u0430\u0444\u0444\u0430, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u0438\u0437\u0432\u043b\u0435\u0447\u044c \u043b\u044e\u0431\u0443\u044e \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0443\u044e \u0448\u0435\u0441\u0442\u043d\u0430\u0434\u0446\u0430\u0442\u0435\u0440\u0438\u0447\u043d\u0443\u044e \u0438\u043b\u0438 \u0434\u0432\u043e\u0438\u0447\u043d\u0443\u044e \u0446\u0438\u0444\u0440\u0443 \u0447\u0438\u0441\u043b\u0430 \u043f\u0438 \u0431\u0435\u0437 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u0445 (\u043d\u044b\u043d\u0435\u0448\u043d\u0438\u0439 \u0440\u0435\u043a\u043e\u0440\u0434 \u0431\u044b\u043b \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d \u043d\u0430 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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\udd47Rekordi i ri bot\u00ebror p\u00ebr llogaritjen e numrit pi: 31.4 trilion shifra | ProHoster","description":"Formula Bailey \u2013 Borwein \u2013 Plouffe, e cila lejon nxjerrjen e \u00e7do shifre specifike n\u00eb hexadecidale ose binar t\u00eb numrit pi pa llogaritur t\u00eb m\u00ebparshmet (rekordi aktual u vendos me algoritmin e Chudnovsky, shiko posht\u00eb) Klasteri kompjuterik i Google Compute Engine p\u00ebr 121 dit\u00eb n\u00eb 25 makina virtuale llogariti numrin m\u00eb t\u00eb madh t\u00eb shifrave n\u00eb numrin pi, duke vendosur nj\u00eb rekord t\u00eb ri bot\u00ebror: 31.4 trilion shifra.","canonical_url":"https:\/\/prohoster.info\/sq\/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":"sq_AL","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 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