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1. Commit library tape images, directories, and extracted text files. 2. Commit additional utilities under Unisys-Emode-Tools.
367 lines
29 KiB
Plaintext
367 lines
29 KiB
Plaintext
BEGIN 00000100
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COMMENT CUBE LIBRARY NUMBER IS E200010. THE PROGRAM NAME IS 00000200
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"B0031/TTY". THIS VERSION DATED 5/3/68; 00000300
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00000400
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COMMENT LEAST SQUARES POLYNOMIAL CURVE-FITTING WITH WEIGHT 00000500
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OPTIONS. THE OMEGA VALUES MAY EITHER BE CONSTANTS, OR THEY00000600
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MAY START WITH ANY GIVEN INITIAL VALUE AND BE ITERATED TO 00000700
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SELFCONSISTENCY BY ASSIGNING A FUNCTION OF THE SQUARES 00000800
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OF THE NORMAL DIFFERENCES AS OMEGA. 00000900
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00001000
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THE FOLLOWING BOOLEAN OPTIONS, IF TRUE, RESULT IN : 00001100
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STEPN ~ FITTING IS CARRIED OUT FOR ALL ORDERS, 00001200
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UP TO M { 10. 00001300
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INTEG ~ VALUES OF FIRST AND SECOND INTEGRAL ARE 00001400
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COMPUTED FOR GRAPHS GOING THROUGH THE ORIGIN.00001500
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DIFFL ~ FIRST AND SECOND DERIVATIVES ARE COMPUTED. 00001600
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SELFC ~ WEIGHTS ARE ITERATED TO SELFCONSISTENCY FOR 00001700
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AN INPUT THRESHOLD VALUE. 00001800
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FOLLW ~ SEQUENTIAL DATA SETS ARE PROCESSED. 00001900
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00002000
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DR EDGAR L. EICHHORN [ BURROUGHS PROFESSIONAL SERVICES]. 00002100
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00002200
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NEW VERSION, 05-25-1964. 00002300
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CONVERTED TO TELETYPE SEPT. 27,1967 00002400
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BY C. A. WILLIAMS. ; 00002500
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INTEGER I,J,K,P,Q,S,N,M,CT,COUNT,STA,NCHAR,NKAR; 00002600
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00002700
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REAL RT,SQUSUM,CALC,DIFF,DIFF2,FIRST,SECND,FACT1,FACT2,THOLD, 00002800
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OMS,OMGSUM,WSUM,XQ,YQ ; 00002900
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00003000
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ARRAY TBUF[0:7]; 00003100
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INTEGER ARRAY BB[0:30]; 00003200
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ALPHA FILE IN TTIN 14 (2,8); 00003300
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ALPHA FILE OUT TTOUT 14 (2,8); 00003400
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FILE IN FID DISK SERIAL "AAAAAAA" "BBBBBBB" (2,10,30); 00003500
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DEFINE RTT=READ(TTIN(STA)#, WTT=WRITE(TTOUT(STA)#, BUFFOUT=TTOUT(STA)00003600
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#; 00003700
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FORMAT IN F1(X8,*A1), F3(X8,A1,A6); 00003800
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FORMAT IN F5(X8,L*), 00003900
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FMIN1(3R12.5),FMIN2(X8,I2,X1,I2), 00004000
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FMIN3(X8,2F12.7),FMIN4(X8,F12.7,X1,I2); 00004100
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ALPHA ID1,ID2,AA1,AA2,BB1,BB2; 00004200
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REAL ARRAY PART[0:20],EL[0:13,0:14,0:13],DEN, 00004300
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SUB,SOL[0:13],X,Y,OMEGA,PREV[0:250], 00004400
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KALC,DYFF,FYRST,SECNDT[0:250]; 00004500
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00004600
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BOOLEAN STEPN,INTEG,DIFFL,SELFC,FOLLW ; 00004700
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00004800
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LIST ORDER(P,M), 00004900
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DETER(FACT1,FACT2), 00005000
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THC(THOLD,CT), 00005100
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INDATA(X[Q],Y[Q],OMEGA[Q]), 00005200
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CN(SOL[Q],(Q-2)), 00005300
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LISTING1(Q,X[Q],Y[Q],OMEGA[Q]), 00005400
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LISTING2(Q,KALC[Q],DYFF[Q],FYRST[Q],SECNDT[Q]), 00005500
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LISTING3(Q,KALC[Q],DYFF[Q]), 00005600
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VARIANCE1((SQUSUM/OMGSUM)), 00005700
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VARIANCE2((100.0)|(1.0- (SQUSUM/WSUM))); 00005800
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00005900
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FORMAT OUT HEADLINE1(X10,"Q",X13,"X",X9,"Y[OBS]",X10,"OMEGA","{!~"),00006000
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HEADLINE2(X10,"Q",X7,"Y[CALC]",X7,"DIFF.","{!~"), 00006100
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DIFFLINE1(X10,"Q",X12,"X",X9,"Y[OBS]",X8,"OMEGA","{!~"), 00006200
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DIFFLINE2(X10,"Q",X7,"Y[CALC]",X7,"DIFF",X7,"SLOPE",X7,"C00006300
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URV","{!~"), 00006400
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INTGLINE1(X10,"Q",X12,"X",X9,"Y[OBS]",X10,"OMEGA","{!~"),00006500
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INTGLINE2(X10,"Q",X6,"Y[CALC]",X6,"DIFF",X4,"FIRST INT",X00006600
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3,"SECOND INT","{!~"), 00006700
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FPROID(X8,"{!ENTER YOUR PROB. ID-UP TO 30 CHAR{!~"), 00006800
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FSTEPN(X8,"{!FITTING FOR ORDERS UP TO M LEQ 10 TRUE OR FA00006900
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LSE{!~"), 00007000
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FINTEG(X8,"{!VALUES OF 1ST & 2ND INTEGRAL ARE COMPUTED~")00007100
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, 00007200
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FINTEG1(X8,"{!FOR GRAPHS GOING THRU THE ORIGIN TRUE OR FA00007300
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LSE{!~"), 00007400
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FDIFFL(X8,"{!FIRST & SECOND DERIVATIVES COMPUTED TRUE OR 00007500
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FALSE{!~"), 00007600
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FSELFC(X8,"{!WEIGHTS ITERATED TO SELFCONSISTENCY FOR~"), 00007700
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FSELFC1(X8,"{!AN INPUT THRESHOLD VALUE TRUE OR FALSE{!~")00007800
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, 00007900
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FFOLLW(X8,"{!SEQUENTIAL DATA SETS TO BE PROCESSED TRUE OR00008000
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FALSE{!~"), 00008100
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FDN(X8,"{!ENTER DATA NAMES~"), FCRLF(X8,"{!~"), 00008200
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FPX(X8,"{!PREFIX = ~"), 00008300
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FSX(X8,"{!SUFFIX = ~"), 00008400
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CONF(X8,E14.7," X (X*",I2,")","{!~"), 00008500
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LISTF1(X8,I3,X2,3(E12.5,X3),"{!~"), 00008600
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LISTF2(X8,I3,X2,4(E12.5),"{!~"), 00008700
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LISTF3(X8,I3,X2,2(E12.5),"{!~"), 00008800
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CNTF(X8,"{!ITERATION NO. ",I2,"{!~"), 00008900
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SUMF1(X8,"{!VARIANCE = ",E12.5,"{!~"), 00009000
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SUMF2(X8,"GOODNESS-OF-FIT = " 00009100
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F10.5,X1,"%","{!~"); 00009200
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00009300
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00009400
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00009500
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00009600
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00009700
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LABEL ONSET,START,SUMS,AAAAA,SECOND,THIRD,FOURTH,HDLYNE2, 00009800
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FIFTH, SIXTH, SEVENTH, EIGHTH, NINTH, FINISH,TRIAGAIN; 00009900
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00010000
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PROCEDURE DATELINE (PROGRAM); 00010100
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VALUE PROGRAM; 00010200
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ALPHA PROGRAM; 00010300
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BEGIN OWN BOOLEAN USED; 00010400
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FORMAT HD1(X8,"{!",A4,I3,", ",A4,X2,"TIME:",I5,"{!~"), 00010500
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HD2(X8,"{!OUTPUT FROM PROGRAM ",A6,"{!!!!~"), 00010600
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LAYT(X8,"{!!","EXECUTION TIME =",I5," SECONDS","{!~"), 00010700
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LAYT1(X8,"I/O TIME =", I5," SECONDS","{!~"), 00010800
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LAYT2(X8,A4,I3,", ",A4, X03, "TIME:", I7,"{!!!!~"); 00010900
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LABEL GOTIT; 00011000
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ALPHA MO, MINS, FEB, HRS, YR, DAY; 00011100
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USED ~ USED AND PROGRAM . [18 : 6] = 0; 00011200
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DAY ~ TIME (0); 00011300
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YR ~ DAY . [18 : 12] + "1900"; 00011400
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DAY ~ DAY . [42 : 6] + 10 | DAY . [36 : 6] + 100 | DAY . [30 : 6]; 00011500
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FEB ~ IF YR . [42 : 6] MOD 4 = 0 THEN "(FEB." ELSE "&FEB."; 00011600
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FOR MO ~ "~JAN.", FEB, "~MAR.", "<APR.", "~ MAY", "<JUNE", "~JULY" 00011700
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, "~AUG.", "<SEPT", "~OCT.", "<NOV.", "~DEC." DO 00011800
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BEGIN IF DAY { MO . [18 : 06] THEN GO TO GOTIT; 00011900
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DAY ~ DAY - MO . [18 : 6]; 00012000
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END; 00012100
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GOTIT: MINS ~ TIME (1) / 3600; 00012200
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HRS ~ 100 | (MINS DIV 60) + MINS MOD 60; 00012300
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IF USED THEN 00012400
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BEGIN 00012500
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WTT,LAYT,TIME (2) / 60); 00012600
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WTT,LAYT1,TIME (3) / 60); 00012700
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WTT,LAYT2,MO,DAY,YR,HRS); 00012800
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END ELSE 00012900
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BEGIN 00013000
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WTT,HD1,MO,DAY,YR,HRS); 00013100
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WTT,HD2,PROGRAM); 00013200
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END; 00013300
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USED ~ TRUE; 00013400
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END OF DATELINE; 00013500
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PROCEDURE BLANKIT(XX); 00013600
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ALPHA XX; 00013700
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BEGIN 00013800
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IF XX.[12:6]="~" THEN XX.[12:36]~" "ELSE 00013900
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IF XX.[18:6]="~" THEN XX.[18:30]~" "ELSE 00014000
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IF XX.[24:6]="~" THEN XX.[24:24]~" "ELSE 00014100
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IF XX.[30:6]="~" THEN XX.[30:18]~" "ELSE 00014200
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IF XX.[36:6]="~" THEN XX.[36:12]~" "ELSE 00014300
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IF XX.[42:6]="~" THEN XX.[42:06]~" "; 00014400
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END OF BLANKIT; 00014500
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INTEGER STREAM PROCEDURE FINDGP(B); 00014600
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BEGIN 00014700
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LABEL HERE; 00014800
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SI~B; 40(IF SC="~" THEN JUMP OUT 1 TO HERE; 00014900
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SI~SI+1; TALLY~TALLY+1); 00015000
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HERE: FINDGP~TALLY; 00015100
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END; 00015200
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STA~STATUS(TBUF[*]); 00015300
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STA.[9:9]~TBUF[0].[9:9]; 00015400
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DATELINE("LSTSQS"); 00015500
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WTT,FPROID); RTT,8,TBUF[*]); 00015600
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NCHAR~FINDGP(TBUF[1]); 00015700
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NKAR~NCHAR-1; 00015800
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READ(TBUF[*],F1,NCHAR,FOR I~0 STEP 1 UNTIL NKAR DO BB[I]);00015900
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ONSET: Q ~ 1 ; 00016000
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BEGIN 00016100
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WTT,FINTEG); 00016200
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WTT,FINTEG1); 00016300
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END; 00016400
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RTT,4,TBUF[*]); 00016500
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NCHAR~FINDGP(TBUF[1]); 00016600
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READ(TBUF[*],F5,NCHAR,INTEG); 00016700
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WTT,FDIFFL); RTT,4,TBUF[*]); 00016800
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NCHAR~FINDGP(TBUF[1]); 00016900
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READ(TBUF[*],F5,NCHAR,DIFFL); 00017000
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BEGIN 00017100
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WTT,FSELFC); 00017200
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WTT,FSELFC1); 00017300
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END; 00017400
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RTT,4,TBUF[*]); 00017500
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NCHAR~FINDGP(TBUF[1]); 00017600
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READ(TBUF[*],F5,NCHAR,SELFC); 00017700
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WTT,FSTEPN); RTT,4,TBUF[*]); 00017800
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NCHAR~FINDGP(TBUF[1]); 00017900
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READ(TBUF[*],F5,NCHAR,STEPN); 00018000
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WTT,FFOLLW); RTT,4,TBUF[*]); 00018100
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NCHAR~FINDGP(TBUF[1]); 00018200
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READ(TBUF[*],F5,NCHAR,FOLLW); 00018300
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IF (INTEG OR DIFFL) THEN 00018400
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BEGIN 00018500
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WTT,<X8,"{!ENTER VALUES FOR FACT1 & FACT2 UNDER FORMAT 2F00018600
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12.7{!~">); 00018700
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RTT,FMIN3,DETER); 00018800
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END; 00018900
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IF SELFC THEN 00019000
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BEGIN 00019100
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WTT,<X8,"{!ENTER VALUES FOR THOLD AND CT, FORMAT F12.7,X100019200
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,I2{!~">); 00019300
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RTT,FMIN4,THC); 00019400
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END; 00019500
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WTT,FDN); 00019600
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TRIAGAIN: WTT,FPX); RTT,F3,AA1,AA2); 00019700
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ID1.[6:6]~AA1; ID1.[12:36]~AA2; 00019800
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BLANKIT(ID1); 00019900
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WTT,FSX); RTT,F3,BB1,BB2); 00020000
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ID2.[6:6]~BB1; ID2.[12:36]~BB2; 00020100
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BLANKIT(ID2); 00020200
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FILL FID WITH ID1,ID2; 00020300
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SEARCH(FID,BB[*]); 00020400
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IF BB[0]<2 THEN 00020500
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BEGIN 00020600
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WTT,<X8,"{!YOUR FILE NOT FOUND. TRYAGAIN.{!~">); 00020700
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GO TO TRIAGAIN; 00020800
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END; 00020900
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START: READ(FID,FMIN1,INDATA); 00021000
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IF X[Q] = 0.0 AND Y[Q] = 0.0 THEN GO TO AAAAA ; 00021100
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PREV[Q] ~ 0.0 ; 00021200
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Q ~ Q + 1 ; GO TO START ; 00021300
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00021400
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AAAAA : S ~ Q - 1 ; COUNT ~ 0 ; 00021500
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WTT,<X8,"{!INSERT VALUES FOR P AND M UNDER FORMAT I2,X1,I00021600
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2{!~">); 00021700
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RTT,FMIN2,ORDER); WTT,FCRLF); 00021800
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IF NOT STEPN THEN 00021900
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BEGIN 00022000
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N ~ P ; GO TO SUMS 00022100
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END ; 00022200
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00022300
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FOR N ~ P STEP 1 UNTIL M DO 00022400
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BEGIN 00022500
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IF SELFC THEN 00022600
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FOR Q ~ 1 STEP 1 UNTIL S DO OMEGA[Q] ~ 1.0 ; 00022700
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00022800
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SUMS : IF S { N THEN GO TO FINISH ; 00022900
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COUNT ~ COUNT + 1 ; 00023000
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00023100
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FOR I ~ (2|N) STEP -1 UNTIL 0 DO PART[I] ~ 0.0 ; 00023200
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FOR I ~ 1 STEP 1 UNTIL (N+1) DO EL[I,(N+2),1] ~ 0.0 ; 00023300
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OMGSUM ~ WSUM ~ 0.0 ; 00023400
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00023500
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FOR Q ~ 1 STEP 1 UNTIL S DO 00023600
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BEGIN 00023700
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XQ ~ X[Q] ; YQ ~ Y[Q] ; OMS ~ OMEGA[Q]|OMEGA[Q] ; 00023800
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OMGSUM ~ OMS + OMGSUM ; WSUM ~ OMS|YQ|YQ + WSUM ; 00023900
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00024000
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FOR J ~ (2|N) STEP -1 UNTIL 0 DO 00024100
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PART[J] ~ OMS|(XQ*J) + PART[J] ; 00024200
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FOR I ~ 1 STEP 1 UNTIL (N+1) DO 00024300
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EL[I,(N+2),1] ~ - OMS|YQ|(XQ*(I-1)) + EL[I,(N+2),1] ; 00024400
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END ; 00024500
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00024600
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SECOND : FOR I ~ 1 STEP 1 UNTIL (N+1) DO 00024700
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FOR J ~ 1 STEP 1 UNTIL (N+1) DO EL[I,J,1] ~ PART[I+N-J] ;00024800
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00024900
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THIRD: Q ~ N + 1 ; K ~ 1 ; 00025000
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00025100
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FOURTH: FOR I ~ 1 STEP 1 UNTIL Q DO 00025200
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DEN[I] ~ EL[I,1,K] ; 00025300
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00025400
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FOR I ~ 1 STEP 1 UNTIL Q DO 00025500
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FOR J ~ 1 STEP 1 UNTIL (Q+1) DO 00025600
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EL[I,J,(K+1)] ~ EL[I,J,K]/DEN[I] ; 00025700
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00025800
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FOR J ~ 1 STEP 1 UNTIL (Q+1) DO 00025900
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SUB[J] ~ EL[1,J,(K+1)] ; 00026000
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00026100
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FOR I ~ 1 STEP 1 UNTIL Q DO 00026200
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FOR J ~ 1 STEP 1 UNTIL (Q+1) DO 00026300
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EL[I,J,(K+1)] ~ EL[I,J,(K+1)] - SUB[J] ; 00026400
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00026500
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FOR I ~ 1 STEP 1 UNTIL Q DO 00026600
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FOR J ~ 1 STEP 1 UNTIL (Q+1) DO 00026700
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EL[I,J,(K+1)] ~ EL[(I+1),(J+1),(K+1)] ; 00026800
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00026900
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IF Q = 1 THEN GO TO FIFTH ; 00027000
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Q ~ Q - 1 ; K ~ K + 1 ; GO TO FOURTH ; 00027100
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00027200
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FIFTH: SOL[1] ~ 1.0 ; 00027300
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00027400
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FOR I ~ 2 STEP 1 UNTIL (N+2) DO 00027500
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BEGIN 00027600
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RT ~ 0.0 ; 00027700
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FOR J ~ 1 STEP 1 UNTIL (I-1) DO 00027800
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RT ~ RT + EL[(I-1),(J+1),(N+3-I)] | SOL[I-J] ; 00027900
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SOL[I] ~ - RT/EL[(I-1),1,(N+3-I)] ; 00028000
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END ; 00028100
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00028200
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SIXTH: FOR Q~2 STEP 1 UNTIL (N+2) DO WTT,CONF,CN); 00028300
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IF S>30 THEN WTT,<X8,"{!!!!!!!!!!~">); 00028400
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WTT,CNTF,COUNT); 00028500
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IF INTEG THEN 00028600
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WTT,INTGLINE1) ELSE 00028700
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IF DIFFL THEN 00028800
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WTT,DIFFLINE1) ELSE 00028900
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WTT,HEADLINE1); 00029000
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00029100
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SEVENTH: SQUSUM ~ 0.0 ; 00029200
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00029300
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FOR Q ~ 1 STEP 1 UNTIL S DO 00029400
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BEGIN 00029500
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CALC ~ FIRST ~ SECND ~ 0.0 ; 00029600
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FOR I ~ 1 STEP 1 UNTIL (N+1) DO 00029700
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CALC ~ CALC + (X[Q] * (I - 1)) | SOL[I+1] ; 00029800
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DIFF ~ Y[Q] - CALC ; DIFF2 ~ DIFF|DIFF ; 00029900
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KALC[Q]~CALC; DYFF[Q]~DIFF; 00030000
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IF INTEG THEN 00030100
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FOR I ~ 1 STEP 1 UNTIL (N+1) DO 00030200
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BEGIN 00030300
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FIRST ~ FIRST + (SOL[I+1]/I) | (X[Q] * I) ; 00030400
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SECND ~ SECND + (SOL[I+1]/(I | (I + 1))) | (X[Q] * (I+1));00030500
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FYRST[Q]~FIRST; SECNDT[Q]~SECND; 00030600
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END ELSE 00030700
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00030800
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IF DIFFL THEN 00030900
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BEGIN 00031000
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FOR I ~ 2 STEP 1 UNTIL (N+1) DO 00031100
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FIRST ~ FIRST + (SOL[I+1]) | (I - 1) | (X[Q] * (I - 2)) ;00031200
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FOR I ~ 3 STEP 1 UNTIL (N+1) DO 00031300
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SECND ~ SECND + (SOL[I+1]) | (I - 1) | ( I - 2) | 00031400
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(X[Q] * (I - 3)) ; 00031500
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FYRST[Q]~FIRST; SECNDT[Q]~SECND; 00031600
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END ELSE 00031700
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FACT1 ~ FACT2 ~ 0.0 ; 00031800
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00031900
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FIRST ~ FIRST | FACT1 ; SECND ~ SECND | FACT2 ; 00032000
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FYRST[Q]~FIRST; SECNDT[Q]~SECND; 00032100
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WTT,LISTF1,LISTING1); 00032200
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PREV[Q] ~ OMEGA[Q] ; 00032300
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IF SELFC THEN OMEGA[Q] ~ EXP(- DIFF2) ; 00032400
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SQUSUM ~ DIFF2|PREV[Q]|PREV[Q] + SQUSUM ; 00032500
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END ; 00032600
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WTT,<X8,"{!!!!~">); 00032700
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IF INTEG THEN 00032800
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WTT,INTGLINE2) 00032900
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ELSE IF DIFFL THEN 00033000
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WTT,DIFFLINE2) 00033100
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ELSE GO TO HDLYNE2; 00033200
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FOR Q~1 STEP 1 UNTIL S DO 00033300
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BEGIN 00033400
|
|
WTT,LISTF2,LISTING2); 00033500
|
|
END; 00033600
|
|
GO TO EIGHTH; 00033700
|
|
HDLYNE2: WTT,HEADLINE2); 00033800
|
|
FOR Q~1 STEP 1 UNTIL S DO 00033900
|
|
BEGIN 00034000
|
|
WTT,LISTF3,LISTING3); 00034100
|
|
END; 00034200
|
|
00034300
|
|
EIGHTH: BEGIN 00034400
|
|
WTT,SUMF1,VARIANCE1); 00034500
|
|
WTT,SUMF2,VARIANCE2); 00034600
|
|
WTT,<X8,"{!!!!!!!!!!~">); 00034700
|
|
END; 00034800
|
|
IF SELFC AND COUNT < CT THEN 00034900
|
|
BEGIN 00035000
|
|
FOR Q ~ 1 STEP 1 UNTIL S DO 00035100
|
|
IF ABS(OMEGA[Q] - PREV[Q]) > THOLD THEN GO TO SUMS 00035200
|
|
END ; 00035300
|
|
COUNT ~ 0 ; 00035400
|
|
IF NOT STEPN THEN GO TO FINISH ; 00035500
|
|
00035600
|
|
NINTH: END ; 00035700
|
|
00035800
|
|
IF FOLLW THEN 00035900
|
|
BEGIN 00036000
|
|
WTT,<X8,"{!!!!!!!!!!~">); GO TO ONSET ; 00036100
|
|
END ; 00036200
|
|
00036300
|
|
FINISH: 00036400
|
|
DATELINE(0); 00036500
|
|
END. 00036600
|