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Paul Kimpel 2c72f7fd1d Commit CUBE Library version 13 of February 1972.
1. Commit library tape images, directories, and extracted text files.
2. Commit additional utilities under Unisys-Emode-Tools.
2018-05-27 11:24:23 -07:00

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