Rar!ϐs t ,%%M@ 70 super_pi.txt Title : Super PI Ver1.1e (calculation of pi up to 33.55 million digits) Keywords: PI MATH WINDOWS In August 1995, the calculation of pi up to 4,294,960,000 decimal digits was succeeded by using a supercomputer at the University of Tokyo. The program was written by D.Takahashi and he collaborated with Dr. Y.Kanada at the computer center, the University of Tokyo. This record should be the current world record. ( Details is shown in the windows help. ) This record-breaking program was ported to personal computer environment such as Windows NT and Windows 95. In order to calculate 33.55 million digits, it takes within 3 days with Pentium 90MHz, 40MB main memory and 340MB available storage. 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Rei twies etc U9@_; 2,0370ENIACAgQQQQ:Q JQnQS.C. Nichols. & J. Jeuz l05%9"2T1NOR5> gtj,PKE. Felton@/AL7,1Peg3 @@gfW(LF. Genuy2!8ۑ11'2@IBM 70R @5 @g#jȀ0 , PPPG.E. Felton 1958 10,0200Pegasus5 @DAg} J. Guillohud09`6,1670IBM 704F@Ag77*8*zw3  -3m /VFNLNgU Uy[535,339,2\HbMNg: +::i1hM6,870,897$rNN{Ogc?$c$$>~ 11a6,69McqIN+Pgn24F( 73,7`40,79ԉC}{OQh#qZcS91,F:2Home made parallel comput (detE un+.+verified.)U+PQg%n6' kaha5C3,22 2P"I3800/(uses@ 2 CPUQRiH~,4,94,04,UNew h1UQrSgJpaA< 92pKRS%  V   First pi record calculated with su R. (for the.ferenceDrS&T1&T[Outline of S` PI"SHV>@ J03 `Q OurPbreaking program|4.2 bion decimal digits wa s porto WINDOWSD O% Or"n*IP+written in FORTRAN, anEe transS1inLC8pbF2`. 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Initial value setting;  0XuI`0 V `"l@lP"2"0  `#0P PT;0G0@@k0 w`ֽ@ .+a>7AJCA߿R@;}  <㿯}?}>!?? #7=g=?J11`Q끌qs?4QcBAo60{"QgA2o @gS w? 0xss=/ ^r {B C?|B#P GGkuCkCr 3fcSxdkSCd"C70d@xpS$-x '$~ pPwDwމ P3 p7_ k[D% "P?3cWUUן?F5bcU5{3?UB" pxcU{W58cp#u'2. Repeat the follow  statements until difference of a and @b is w\in#0esired accuracyW(؁ه HSXӠXPV[D[X# ]3;0@;@GJSS0 _ *k k0;pp pR K0*Pp_P P  `"?QP.Q:DQ;FPGR ^h~o jt wvA ss1{wx;xp~;wG~ w kx@/0!~#01xw#!/0j1xpaaww3. Piapproximd! a,t abs T&Oe Hhas@coo rder verwt nature. 2n if you wato calcDulc upn\gits, iterationKzi^0log2+rsuffi ciaE.g. 19 timesr 1 miDllEdecl _`31&3.2 b('.Z)0313cBorwein's8 4-IfVه8@ .Z&@ ^6"T2#`]6 p_;`/V0G-am@_ypoEݑP`]0d Bϸ@ǯOcwwׁǀ=//}<@ =Hl7?y/|wO?o\7_h*P#*!މ1{G'. @?^1/ Qv!_0!`G0!g@!?#&_ _ah q3K _fZ%tbڼB'9K`O@w@Ow'Ko? !۸a ?qD)׽Q $o{' a AcBKO|"@O{ߑwtq: t@xw{s(}c s{@'@?{'  ; '; '? ϟ~Y '@w2D+8'0.' OO OP' ' 'Ec'0II?' p{r̃r@!C?S zdzC)co>+"NB@ˉӯiO dg%g'37X";'n4''OwŇ7[?Dž?_g8_?svᅫ4*R M V ''|PƒO''w'w@Bw0NWix7Ad~7)}'@S;1'{;T(P{F1CzoczY(9%Hr]g؂'  cY'ow(& X gcbillion digits of pi Kanada Lab. operates FTP server with 4.2 @pi and 1/pi. 2000 mc"p are free @to allY0anonymous-ftpN kHHregistered appli@cants.2;:thollowing addres s;)://www.cc.u-tokyo.ac.jp p}4}1) Please email||@1subject 3 4V 80 p 'PI1A'. Sinc s!procCUutom,c)y,p0do not inlcude your m*ageF! body.h#0^^^x E:quest@Xjp) Weseof!Đrm viaG1If agr>aconte, writ`qdataPV f,"z usBl@faxנ -a1name5#]n`ounci! apffilx2< telphone numberP }P. *{ Ҁ q2dcomm signatu`re3"#temporary g i=passwordA it,T!pC0ID1b0hangI1 "mh. L"1 "8Introduc("Vc pASJD8P E @Sj#=r.~qeFieldRes earch$Hi@gh PeraComput, Virtual Workst2SyDP  PP,<@AlgebraNtory: > p!t0&$otools3Loc9$!= Uni%sityRT% Inö #scie\rPff<Yasumasa KANADA (Assoe Proftor) Akira YOSHIOKA (`/`%Gradu;cQst 3qDet$jO6i-47Athrou`hFa{$poineDw.par-u larlyphasiz`5^PapqaQpowl69!tificAf,6 "* "v0f5sno%ab`t opicsj1.N}6"Q. 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(tru W&eWW!07e8J(-pRBj>Tsuyoshi TOMIMATSU (M.20tomi";c9 @oR0help-rb́J 10́% e{r;on3$ Uݏ s.m,0Sei?g- i=(nex/ t(=1,E>). 4601Hiroaki WATBE|$nab#yCRec/ryJ, rnhow Kda:be[++nf UumEf _Vwho-d g-e / c,"?quidiff".xS(% CN5 b#vice LISPKp#60336c1 #+D55_F64 Mu @ Softw/whi su-^/Y%`s MID9 PCM.Ifz%7$ w,%ybe&tge t.Ne %ֵT#1 A"m~ le "pi_data.txt"X4 6V The form of output file "pi_data.txt"The form of output file "pi_data.txt" is as follows:PI=3.1415926535 8979323846 2643383279 5028841971 69399375105820974944 5923078164 0628620899 8628034825 34211706798214 ...Every 10 digits, there is a space.Every 50 digits, there is a carriage return.Every 1000 digits, there is a line feed.M1 JCalculation time of Super PI E XV Calculation time of Super PI Uses HITACHI FLORA3010(Pentium 90MHz, Memory 40MB, Available disk storage 340MB). The digits Calculation time (Windows 95) (Windows 3.1+Win32s) 16K 0:12 0:12 32K 0:27 0:26 64K 1:02 0:56 128K 2:42 2:33 256K 6:30 5:53 512K 15:18 14:11 1M 35:32 34:02> J5 8V  2M 1:17:51 1:32:45 4M 3:02:35 3:26:50 8M 7:23:49 9:23:08 16M 22:27:47 30:11:22 32M not yet 80:37:47If you can make the faster program than our Super PI, please inform us!1 {1X{'J$ V 1{1 HHelv^&&WjFщFF V Ѻ޼F~Times New RomanSymbolvFF+^FArialFGI u޻Slr UWVWSVbNFVvlr SVbN>FVPica8vWvv+PProportionalRPSubScriptu+FencesFFVF MT ExtraFVElitev FVWingdingsv+P*   =4XŽ9j/&;)J24  Borwein's convergent algorithmCalculation timeFPD95Gauss-Legendre algorithm Graduate course studentsHistory of pi calculationKanada Lab.Output file "pi_data.txt"Super PI Supercomputer and personal computer$3.2 billion calculation(4.2 billion calculation,4.2 billion digits of pi0/&;)Lz&=utxw IndexOutline of 4.2 billion calculation of piOutline of 3.2 billion calculation of pi9History of pi calculation with computerjOutline of Super PIComparison of supercomputer and personal computerGauss-Legendre algorithmBorwein's 4-th order convergent algorithmHow to obtain 4.2 billion digits of piIntroduction of Kanada Lab.Graduate course studentsŽFPD95\A form of output file "pi_data.txt"XCalculation time of Super PI36&G^vЎÌ^_]UVvF&t &tV^]UWVv&|u&D& Dt &t&tt2s!F&|u &t&tt2!F&|u &t&tt2!F&| u$&\&w &w t2!&t&tt2!F&| u$&\&w &w t2!&t&tt2^_]UWVvF&t&4 F&Dڙ+^_]UVv+Pv v F&t&4: " F&D^]UWVv~ FƋV ΋FHFVN^vW!"F&E&UW*"F< t< uvꐀ~ u2Pv V #vW*w#F~u~u~\tP6P$ t~u~uFF &FN U u ~ u<PDv Pv&t~;s"FF &Fvv *#FU u؋~ FPvW\#vW*#FU u<-u';Fs FF &FvW*#FU uيFU u PFPW\$F [FPvW\X$~{u~}uFF<{u<}u*%~uFA~~u8F&E-t-xt-t-lu*F &F &F & FF &FF ~uF \&PTD%+FA~ t:~ t4~vtFF &FPTT% tvW*\!F F&F~}t vW*%F &`vFPvW\%F\FPFPW\"~t 3v^&뾐FF &F &D<{u+^_] UVvF&t&tV*"q%^]U^ &w&7vvG"]U>WVvFF¿CFG6U uC&RP PPPFPL &V tN^Ў٥FF^vЎÌ^_]UV +Pvv8&V tFPV x&^ &G^]/&;)L4-L=w9.  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