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retro-software.B5500-software/CUBE-Library-13/Files/ORS031-F400003.alg
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 1000
COMMENT JOHN R. KESSLER 2000
PROFESSIONAL SERVICES DEPARTMENT 3000
BURROUGHS CORPORATION 4000
10-19-63 5000
AN ALGOL PROGRAM FOR SOLVING NON-HOMOGENEOUS 6000
LINEAR EQUATIONS. 7000
***** MEANING OF MAIN VARIABLES ***** 8000
A[I,J] MATRIX ENTRIES 9000
AI[I,J] ROW INDICES FOR MATRIX ENTRIES 10000
B[I] CURRENT RIGHT HAND SIDE 11000
BBB BBB + 1 = NUMBER OF RIGHT HAND SIDES YET 12000
TO BE SOLVED FOR 13000
BH[I] COLUMN NUMBERS IN ROWS UPON WHICH THEY PIVOTED 14000
BL1 IF "TRUE" DUMP TRANSFORMATION VECTORS PERIODICALLY 15000
BL2 INDICATES RESTART IF "TRUE" 16000
BL3 INDICATES RESTART IN MIDDLE OF PROGRAM IF "TRUE" 17000
BOOL1 IF "TRUE" THEN RESTART USING DUMPED DATA 18000
BOOL2 IF "TRUE" OUTPUT AFTER A COLUMN IS ENTERED 19000
CNAME[I] COLUMN NAMES 20000
CNO[I] COLUMN DENSITIES 21000
DC[I] NAMES OF COLUMNS DELETED 22000
E[I,J] TRANSFORMATION ENTRIES 23000
EI[I,J] ROW INDICES FOR TRANSFORMATION ENTRIES 24000
INDEX NUMBER OF COLUMN CURRENTLY BEING UPDATED 25000
IT ROW NUMBER OF PIVOT 26000
K ROW INDEX FOR FIRST EMPTY ENTRY IN E[I,J] 27000
L COLUMN INDEX FOR FIRST EMPTY ENTRY IN E[I,J] 28000
M TOTAL NUMBER OF ROWS 29000
N TOTAL NUMBER OF COLUMNS 30000
NR NUMBER OF COLUMNS ENTERED 31000
RH[I] NAMES OF RIGHT HAND SIDES TO BE SOLVED FOR 32000
RJ[I] NAMES OF ROWS DELETED 33000
RNAME[I] ROW NAMES 34000
SCN[I] COLUMN NUMBERS, SORTED BY DENSITY 35000
TALLY[I] ROW DENSITIES OF COLUMNS NOT ENTERED 36000
TE[I] TRANSFORMATION VECTOR STARTING POSITION IN E[I,J], 37000
CONTAINS PIVOT POSITION ASSOCIATED WITH VECTOR 38000
TOL1 TOLERANCE 39000
TOL2 TOLERANCE 40000
TW NUMBER OF COLUMNS TEMPORARILY SKIPPED 41000
W[I] COLUMN STARTING POSITIONS IN A[I,J], CONTAINS FLAG 42000
INDICATING WHETHER COLUMN ENTERED 43000
; 44000
FILE IN CARD(1,10); 45000
FILE OUT PRINTER 1(1,15); 46000
FILE OUT TPR 2(1,1023); 47000
FORMAT IN ALPH(A6), 48000
ALP (A6,X4,A6), 49000
FO3(A6,X4,2F10.7), 50000
TO1(A6,X6,3F12.10), 51000
CCI(A6,X4,A6), 52000
FOT(A6,X2,I4,X6,I4), 53000
CH(2A6,F12.6), 54000
AL(12A6); 55000
FORMAT OUT FO4("IMPROPER MATRIX - NOT SQUARE"//), 56000
IT1("NUMBER OF COLUMN NUMBER OF NUMBER OF", 57000
" ROW NAME ROW NUMBER ", 58000
" NUMBER OF"), 59000
IT2("ITERATIONS ENTERED COLUMNS ENTERED COLUMNS ", 60000
"SKIPPED OF PIVOT OF PIVOT VALUE OF PIVOT ", 61000
"TRANSFORMATION ENTRIES"/), 62000
FIT(X3,I4,X5,A6,X8,I4,X13,I4,X9,A6,X6,I4,X6, 63000
E17.10,X9,I5), 64000
FORI("ROWS OF INVERSE"//), 65000
FOX(///"THE FOLLOWING IS THE",I4,"TH ROW OF THE" 66000
" INVERSE CORRESPONDING TO ROW ",A6//), 67000
FO2("NO SOLUTION - SINGULAR"//), 68000
FO11("A ROW HAS NO ELEMENTS"/), 69000
FO5("RANK NOT GIVEN"//), 70000
PCH(2A6,F12.6), 71000
KK("(",I4,")",X3,A6," = ",E17.10/), 72000
FO7(E17.10/), 73000
CONT(A6,X20,"CONTROL CARD"/), 74000
FOS(A6,X2,I4,X6,I4,X4,"CONTROL CARD"/), 75000
FRR("FREQUENCY ",I4," CONTROL CARD"/), 76000
RES("RESTART CONTROL CARD"/), 77000
FOF(A6,X4,A6), 78000
FOC(A6,X4,2F10.7), 79000
CCO(A6,X4,A6,X10,"CONTROL CARD"/), 80000
PRIN(A6,X4,"PRINTER",X9,"CONTROL CARD"/), 81000
TO3("TOLERANCE VALUES: TOL1 = ",F12.10,X4,"TOL2 = ", 82000
F12.10,X4,"TOL3 = ",F12.10), 83000
CONT2(A6), 84000
PR((4(" [",I4,",",I4,"]=",E17.10)/)/), 85000
FOE("IN LIEU OF THE CORRECT CARD, THE FOLLOWING CARD", 86000
" WAS PRESENT",//12A6), 87000
INH("INHIBIT CORE CHECK CONTROL CARD"/), 88000
MEM("MEMORY",X6,I4,X10,"CONTROL CARD"/), 89000
OUTCORE(///"********** OUT OF CORE"), 90000
RETO("TOLERANCES SET TO ZERO"/), 91000
FO11A("A COLUMN HAS NO ELEMENTS"//), 92000
FO1(/////"SOLUTION: ",A6//), 93000
FO6("FROM WHERE IS DATA TO BE READ"//), 94000
FO10("END OF PROGRAM."//); 95000
FORMAT TIM(/"* TIME = ",F10.3/); 96000
REAL ZEROTIME; 97000
ALPHA ARRAY HEAD[0:11]; 98000
REAL ARRAY RESTART[0:10]; 99000
INTEGER I,RR; 100000
ALPHA CONTROL; 101000
LABEL STOP,SS; 102000
LABEL L1; 103000
LABEL ENDPROGRAM; 104000
REAL RK1,RK2; 105000
BOOLEAN BOOL1; 106000
SS: READ (CARD[NO],ALPH ,CONTROL); 107000
IF CONTROL = "HEADIN" THEN 108000
BEGIN 109000
LABEL M1; 110000
READ (CARD ,AL ,CONTROL); 111000
M1: READ (CARD ,AL , FOR I ~ 0 STEP 1 UNTIL 11 DO 112000
HEAD[I]); 113000
IF HEAD[0] ! "END " THEN 114000
BEGIN 115000
WRITE(PRINTER,AL,FOR I ~ 0 STEP 1 UNTIL 11 DO HEAD[I]); 116000
GO TO M1; 117000
END; 118000
END; 119000
WRITE(PRINTER[DBL]); 120000
BOOL1 ~ FALSE; 121000
READ(CARD[NO],ALPH,CONTROL); 122000
IF CONTROL = "RESTAR" THEN 123000
COMMENT THE PROGRAM WILL RESTART USING DATA PREVIOUSLY DUMPED 124000
AT THE END OF THE INPUT PROCEDURES. ; 125000
BEGIN 126000
FILE IN TPR(1,1023); 127000
READ(CARD,ALPH,CONTROL); 128000
WRITE(PRINTER,RES); 129000
READ(TPR,11,RESTART[*]); 130000
RK1 ~ RESTART[5]; 131000
RK2 ~ RESTART[6]; 132000
BOOL1 ~ TRUE; 133000
GO TO L1; 134000
END; 135000
COMMENT THE COMPUTER WILL STOP IF THE "RANK" CARD IS NOT PRESENT.; 136000
READ(CARD[NO],ALPH,CONTROL); 137000
IF CONTROL = "RANK " THEN 138000
BEGIN 139000
READ(CARD,FOT,CONTROL,RK1,RK2); 140000
WRITE(PRINTER[DBL],FOS,CONTROL,RK1,RK2); 141000
END 142000
ELSE 143000
BEGIN 144000
READ(CARD,AL,FOR I ~ 0 STEP 1 UNTIL 11 DO HEAD[I]); 145000
WRITE(PRINTER,FOE,FOR I ~ 0 STEP 1 UNTIL 11 DO HEAD[I]); 146000
WRITE (PRINTER,FO5); 147000
GO TO STOP; 148000
END; 149000
L1: BEGIN 150000
INTEGER FLAG,J,NR,H,RKM,M,N,RT,SQ,RL,F,INDEX,AA,IT,K,L,BBB; 151000
INTEGER CST,FREQ; 152000
LABEL ENT,SEARCH,ENT1,EXTRACT,OUTPUT,M7,M8,RAN,TRAN; 153000
REAL X,Y,XX,YY,T1,T2,P,Q,R,S,TOL1,TOL2,SUM,RS ; 154000
REAL Z,ZZ,DET,TG,SU,TW,SUT; 155000
REAL TEMP,MINE,MAXE; 156000
REAL TOL3; 157000
BOOLEAN BL1,BL2,BL3; 158000
BOOLEAN BL4,BL5; 159000
LABEL LL; 160000
BOOLEAN BOOL2; 161000
ARRAY DUMPT[0:10]; 162000
LABEL DUMP1; 163000
ALPHA AC,AD,AE,DL; 164000
ARRAY A,AI[0:7,0:1022],E,EI[0:31,0:1022],TALLY,V,B,BH[0:RK1], 165000
W,TE[0:RK2],FF[0:10,0:1]; 166000
INTEGER ARRAY U[0:40]; 167000
INTEGER ARRAY CNO[-1:RK2],COUNT,SCN[0:RK2]; 168000
ALPHA ARRAY CON[0:10],SG,RNAME,RJ,RH[0:RK1],DC,CNAME[0:RK2]; 169000
PROCEDURE UPDATE(J); 170000
COMMENT THIS PROCEDURE UPDATES THE CHOSEN COLUMN DURING THE STAGES 171000
PRIOR TO INITIALLY FINDING A SOLUTION. IT IS ALSO USED TO 172000
FIND ANY ADDITIONAL SOLUTIONS USING THE SAME "A" BUT 173000
DIFFERENT "B".; 174000
VALUE J; 175000
INTEGER J; 176000
BEGIN 177000
LABEL BB; 178000
IF FLAG = 0 THEN 179000
GO TO BB; 180000
X ~ W[J].[35:3]; 181000
Y ~ W[J].[38:10]; 182000
BB: XX ~ X; 183000
YY ~ W[J+1].[38:10] - 1; 184000
FOR I ~ 0 STEP 1 UNTIL RKM DO V[I] ~ 0; 185000
COMMENT EXPAND THE COLUMN ; 186000
IF YY < Y THEN 187000
BEGIN 188000
XX ~ X + 1; 189000
FOR I ~ Y STEP 1 UNTIL 1022 DO 190000
V[AI[X,I]] ~ A[X,I]; 191000
FOR I ~ 0 STEP 1 UNTIL YY DO 192000
V[AI[XX,I]] ~ A[XX,I]; 193000
END 194000
ELSE 195000
FOR I ~ Y STEP 1 UNTIL YY DO 196000
V[AI[X,I]] ~ A[X,I]; 197000
COMMENT UPDATE THE EXPANDED COLUMN ; 198000
FOR I ~ 0 STEP 1 UNTIL NR - 1 DO 199000
BEGIN 200000
S ~ TE[I]; 201000
P ~ S.[23:10]; 202000
T2 ~ V[P]; 203000
IF ABS(T2) > TOL1 THEN 204000
BEGIN 205000
V[P] ~ 0; 206000
Q ~ S.[33:5]; 207000
R ~ S.[38:10]; 208000
RS ~ TE[I+1].[38:10] - 1; 209000
IF RS } R THEN 210000
FOR F ~ R STEP 1 UNTIL RS DO 211000
V[EI[Q,F]] ~ E[Q,F] | T2 + V[EI[Q,F]] 212000
ELSE 213000
BEGIN 214000
S ~ Q + 1; 215000
FOR F ~ R STEP 1 UNTIL 1022 DO 216000
V[EI[Q,F]] ~ E[Q,F] | T2 + V[EI[Q,F]]; 217000
FOR F ~ 0 STEP 1 UNTIL RS DO 218000
V[EI[S,F]] ~ E[S,F] | T2 + V[EI[S,F]]; 219000
END; 220000
END; 221000
END; 222000
END; 223000
COMMENT THE FOLLOWING PROCEDURES ARE STANDARD FOR INPUT.; 224000
PROCEDURE RWID(X, Y); 225000
FILE X, Y; 226000
COMMENT READ THE ROW ID FROM X, MAKE ALL THE DELETIONS ACCORDING 227000
TO DELETE CONTROL, CONSTRUCT THE TABLE OF SLACK TYPE SG 228000
AND THE CORRESPONDING LIST OF RNAME THE SELECTED ROW 229000
NAMES. WRITE OUT SELECTIONS OPTIONALLY. 230000
CALLS ON NO OTHER PROCEDURES. 231000
CALLED BY INPUT. ; 232000
BEGIN 233000
INTEGER G, H, I, J, K, P, Q; 234000
ALPHA D; 235000
LABEL R1, R2, R3, R4, R5, R6; 236000
FORMAT IN Z(A5,I1,10A6); 237000
FORMAT OUT T(A5,I1,10A6), 238000
TT(11A6), 239000
MESS(/"THE INDICATOR CARD ROW ID HAS NOT BEEN FOUND. ", 240000
"INSTEAD THE FOLLOWING CARD WAS ENCOUNTERED: "/ 241000
A5, I1, 10A6/"GET OFF THE B-5000."/); 242000
ALPHA ARRAY S, R, A, B[0:5]; 243000
LIST V(D, P, FOR I ~ 1 STEP 1 UNTIL (IF P=0 THEN 1 ELSE P) DO 244000
[S[I], R[I]]), 245000
W(D, K, FOR Q ~ 1 STEP 1 UNTIL K DO [A[Q], B[Q]]); 246000
FORMAT OUT MESS1(/"THE COMBINED NUMBER OF FUNCTIONALS AND ", 247000
"CONSTRAINTS WAS GIVEN AS M = ", I3/"THE SAME NUMBER ", 248000
"COMPUTED FROM DATA IS M = ", I3, I5/); 249000
J ~ K ~ 0; 250000
R1: READ(X, Z, V); 251000
IF D.[18:6] = "*" THEN 252000
BEGIN 253000
IF RT = 1 THEN WRITE(Y,T,V); GO TO R1 254000
END; 255000
IF D ! "ROW I" THEN 256000
BEGIN 257000
WRITE(PRINTER, MESS, V); GO TO ENDPROGRAM 258000
END; 259000
D ~ "ROW ID"; 260000
IF RT = 1 THEN 261000
WRITE(Y,TT,V); 262000
R2: READ(X, Z, V); 263000
IF D.[18:6] = "*" THEN 264000
BEGIN 265000
IF RT = 1 THEN WRITE(Y,Z,V); GO TO R2; 266000
END; 267000
IF D = "END " THEN 268000
BEGIN 269000
IF RT = 0 THEN GO TO R6 ELSE GO TO R5 270000
END; 271000
COMMENT IF THE COUNTER IS BLANK, THIS MEANS ONE ROW NAME; 272000
IF P = 0 THEN P ~ 1; 273000
FOR I ~ 1 STEP 1 UNTIL P DO 274000
BEGIN 275000
COMMENT RT IS A FLAG FOR WRITING. 276000
RL IS THE NUMBER OF DELETED ROWS; 277000
IF RL = 0 THEN 278000
BEGIN 279000
R3: IF J ~ J+1 = U[5] THEN 280000
COMMENT INSERT A BLANK RNAME CORRESPONDING TO INFEASIBILITY; 281000
BEGIN 282000
SG[J] ~ " "; RNAME[J] ~ "INFEAS"; GO TO R3 283000
END; 284000
SG[J] ~ S[I]; RNAME[J] ~ R[I]; 285000
IF RT ! 0 THEN 286000
COMMENT SELECTED ROWS ARE WRITTEN OUT ON TAPE; 287000
BEGIN 288000
IF K } 5 THEN 289000
BEGIN 290000
WRITE(Y, T, W); K ~ 0 291000
END; 292000
K ~ K + 1; B[K] ~ R[I]; A[K] ~ S[I]; GO TO R4 293000
END 294000
END ELSE 295000
BEGIN 296000
COMMENT THERE ARE DELETED ROWS. RL IS THE NUMBER OF ROWS WHICH 297000
WERE REJECTED BY THE CONTROL CARD DELETE. RJ IS THE LIST; 298000
FOR H ~ 1 STEP 1 UNTIL RL DO 299000
IF R[I] = RJ[H] THEN GO TO R4; 300000
GO TO R3; 301000
END; 302000
R4: END; 303000
COMMENT READ A NEW RECORD; 304000
GO TO R2; 305000
COMMENT THE END OF THE ROW ID RECORDS IS ENCOUNTERED. 306000
WRITE THE LAST BUFFER AND THE END CARD; 307000
R5: D ~ " "; WRITE(Y,T,W); D ~ "END "; WRITE(Y,TT,V); 308000
R6: WRITE(PRINTER, MESS1, M,J); M ~ J 309000
END; 310000
PROCEDURE MATRIXREAD(X, Y); 311000
FILE X, Y; 312000
COMMENT MATRIXREAD WILL READ THE COEFFICIENT MATRIX FROM FILE X, 313000
CHOOSE A SUBSET OF ROWS AND COLUMNS, CONSTRUCT THE SLACK 314000
VECTORS IF NEEDED. 315000
IT WILL WRITE ON FILE Y IF SO SIGNALLED BY THE RT FLAG. 316000
CALLED BY THE INPUT ROUTINE. 317000
CALLS ON NO OTHER PROCEDURES; 318000
BEGIN 319000
INTEGER C,G,H,I,J,K,L,P,R,T,V ; 320000
ALPHA SL, IC, CN, RN, TM, CA, FL ; 321000
REAL Q; 322000
LABEL M1, M2, M3, M4, M5, M6, M7, M8, M9, M10, M11, M12, M13, 323000
M14, M15, M16, M17, M18, M19, M20, M21; 324000
LIST ML(IC, CN, RN, Q); 325000
FORMAT IN MN(3A6, F12.6); 326000
FORMAT OUT MT(3A6, F12.6), 327000
MISSUM1("/TOO MANY VECTORS OR ELEMENTS. ROWS = ", I4, 328000
" COLUMNS = ",I4," ELEMENTS = "I4,",",I5/"GET OFF THE", 329000
" B5000"/), 330000
MISSUM2(/"THE FOLLOWING UNKNOWN MATRIX CARD SAYS: "/ 331000
3A6,F12.5,/"GET OFF THE B 5000"/) , 332000
MISSUM3(/"ILLEGAL CHARACTER IN ROW NAME ENTRY"/A6,", ", 333000
A6/ "TREAT THIS AS AN EQUALITY CONSTRAINT."/), 334000
MISSUM4(/"THE PROBLEM HAS ", I4, " ROWS AND ",I4, 335000
" COLUMNS. ",I4," MATRIX ENTRIES AND ",I3," R.H.S.",I1/), 336000
MISSUM5(/"THE FOLLOWING ROWS ARE NOT CONSIDERED IN THIS", 337000
" PROBLEM."/), 338000
MISSUM6(X20, I3,". ", A6), 339000
MISSUM7(/"INSTEAD OF THE MATRIX INDICATOR, THE FOLLOWING", 340000
" UNKNOWN CARD WAS ENCOUNTERED"/3A6, F12.5/"GET OFF " 341000
"THE B-5000."/), 342000
MISSUM8(/"THE FOLLOWING SPLIT VECTOR WAS ENCOUNTERED"/ 343000
3A6, F12.5/ "ITS TWO PORTIONS ARE PRECEDED BY THE ", 344000
"FOLLOWING VECTORS: ", A6, " AND ", A6/), 345000
MISSUM9(/"THE FOLLOWING VECTOR: ", A6, " WAS DELETED ", 346000
"BECAUSE IT WAS FOUND TO BE EMPTY."/); 347000
K ~ H ~ N ~ L ~ P ~ C ~ 0; G ~ 0; SL ~ "/ "; 348000
SUT ~ 0; 349000
K ~ -1; 350000
T ~ 0; 351000
M1: READ(X, MN, ML); 352000
IF IC.[12:6] = "*" THEN GO TO M2; 353000
IF IC = "MATRIX" THEN GO TO M3; 354000
COMMENT THE MATRIX INDICATOR IS NOT FOUND; 355000
WRITE(PRINTER, MISSUM7, ML); GO TO ENDPROGRAM; 356000
M2: IF RT = 1 THEN 357000
WRITE(Y, MT, ML); 358000
GO TO M1; 359000
M3: IF RT = 1 THEN 360000
WRITE(Y, MT, ML); 361000
M4: READ(X, MN, ML); 362000
COMMENT TEST THE INDICATOR FOR BLANKS; 363000
IF IC = " " THEN 364000
COMMENT TEST FOR NEW VECTOR. BLANK SIGNIFIES SAME VECTOR; 365000
BEGIN 366000
IF N > 0 THEN 367000
BEGIN 368000
COMMENT T = 2 SIGNIFIES THAT A RIGHT HAND SIDE WAS ENCOUNTERED. 369000
IN THIS CASE THE COLUMN NAMES ARE MEANINGLESS. NEW VECTORS 370000
OF THE RHS ARE RECOGNIZED BY THE INDICATOR FIELD ONLY; 371000
IF (CNAME[L] = CN) OR (CN = " ") OR (T = 2) THEN 372000
GO TO M9 373000
END; 374000
COMMENT TEST WHETHER THIS NEW VECTOR IS IN THE LIST OF DELETED 375000
VECTORS DC[V], THEIR NUMBER IS SQ; 376000
M5: FOR V ~ 1 STEP 1 UNTIL SQ DO 377000
IF CN = DC[V] THEN 378000
BEGIN 379000
COMMENT SKIP ALL THE ENTRIES OF THIS COLUMN; 380000
TM ~ CN; 381000
M6: READ(X, MN, ML); 382000
IF IC = " " THEN 383000
BEGIN 384000
IF (TM = CN) OR (CN = " ") THEN GO TO M6 385000
ELSE GO TO M5 386000
END; 387000
GO TO M13 388000
END; 389000
COMMENT WAS THIS "NEW" VECTOR ENCOUNTERED BEFORE. SPLIT VECTOR; 390000
FOR J ~ 1 STEP 1 UNTIL L - 1 DO 391000
IF CN = CNAME[J] THEN 392000
BEGIN 393000
FL ~ " SPLIT" ; 394000
M7: TM ~ CN; WRITE(PRINTER, MISSUM8, IC, CN, RN, Q, CNAME[J-1] 395000
, CNAME[L]); 396000
GO TO M6 397000
END; 398000
COMMENT IS THIS A COLUMN IN WHICH ALL THE ROWS HAVE BEEN DELETED; 399000
IF G = 1 THEN 400000
BEGIN 401000
IF P = 0 THEN 402000
WRITE(PRINTER, MISSUM9, CNAME[L]); GO TO M8 403000
END; 404000
COMMENT BUMP THE VECTOR COUNT N, THIS IS NOT A REJECTED COLUMN; 405000
IF L { M AND L ! 0 THEN 406000
BEGIN 407000
CNO[L-1] ~ SUT; COUNT[SUT] ~ COUNT[SUT] + 1; 408000
SUT ~ 0; 409000
END; 410000
L ~ N ~ N + 1; G ~ 1; 411000
M8: IF L { 1022 THEN CNAME[L] ~ CN ELSE GO TO M10; 412000
COMMENT THE FIRST ENTRY OF A RHS DOES NOT HAVE A ROW NAME; 413000
IF (IC = "FIRST ") OR (IC = "NEXT B") THEN GO TO M4; 414000
COMMENT SEARCH THE ROW ID TABLE AND FIND THE INDEX OF THIS ENTRY; 415000
M9: FOR I ~ 1 STEP 1 UNTIL M DO 416000
IF RNAME[I] = RN THEN 417000
COMMENT TEST WHETHER THERE ARE TOO MANY ELEMENTS; 418000
BEGIN 419000
IF K ~ K + 1 > 1022 THEN 420000
BEGIN 421000
K ~ 0; IF H ~ H+1 > 7 THEN GO TO M10 422000
END; 423000
IF G = 1 THEN GO TO M11 ELSE GO TO M12; 424000
M10: WRITE(PRINTER, MISSUM1, M, N, H, K); 425000
GO TO ENDPROGRAM 426000
END; 427000
COMMENT A REJECTED ROW HAS BEEN FOUND. CHECK WHETHER IT WAS 428000
ALREADY FOUND BEFORE. IF NOT ADD TO THE LIST OF REJECTED 429000
ROW NAMES; 430000
FOR R ~ 1 STEP 1 UNTIL C DO 431000
IF RJ[R] = RN THEN GO TO M4; 432000
RJ[C ~ C+1] ~ RN; GO TO M4; 433000
COMMENT STORE THIS ELEMENT, ITS LOCATION AND ITS INDEX; 434000
M11: W[L-1].[38:10] ~ K; W[L-1].[35:3] ~ H; G ~ 2; 435000
M12: AI[H,K] ~ I - 1; A[H,K] ~ Q; CN ~ CNAME[L]; 436000
TEMP ~ ABS(A[H,K]); SUT ~ SUT + 1; 437000
IF TEMP ! 0 THEN 438000
BEGIN 439000
IF TEMP > MAXE THEN MAXE ~ TEMP; 440000
IF TEMP < MINE THEN MINE ~ TEMP; 441000
END; 442000
GO TO M3; 443000
END; 444000
COMMENT THE INDICATOR FIELD IS NOT BLANK. IGNORE * REMARKS; 445000
M13: IF IC.[12:6] = "*" THEN GO TO M3; 446000
IF IC = "FIRST " THEN GO TO M14; 447000
IF IC = "NEXT B" THEN GO TO M17; 448000
IF IC = "EOF " THEN GO TO M20; 449000
WRITE(PRINTER, MISSUM2, ML); GO TO ENDPROGRAM; 450000
M14: CNO[L-1] ~ SUT; COUNT[SUT] ~ COUNT[SUT] + 1; 451000
BEGIN 452000
M16: END; 453000
COMMENT CONSTRUCT RIGHT HAND SIDES. G=1 IS FOR LAST VECTOR EMPTY; 454000
T ~ 1; 455000
M17: IF G = 1 THEN 456000
BEGIN 457000
IF T = 1 THEN L ~ N ~ N - 1 ELSE P ~ P - 1; G ~ 2; 458000
WRITE(PRINTER, MISSUM9, CNAME[L+1]) 459000
END ; 460000
IF T = 1 THEN GO TO M18 ELSE GO TO M19; 461000
COMMENT PRINT THE PROBLEM SIZE BEFORE AND AFTER CONSTRUCTING THE 462000
RIGHT HAND SIDES; 463000
M18: WRITE(PRINTER, MISSUM4, M, N, H|1022+ K,P); 464000
IF T = 1 THEN T ~ 2 ELSE GO TO M21; 465000
M19: IF RT = 1 THEN 466000
WRITE(Y, MT, IC, CN, RN); 467000
P ~ P + 1; 468000
L ~ N + P; G ~ 1; GO TO M5; 469000
COMMENT FINISHED READING. TIE THINGS UP AND PRINT PROBLEM SIZE; 470000
M20: IF RT = 1 THEN 471000
WRITE(Y, MT, IC, CN, RN); 472000
U[18].[35:3] ~ H; U[18].[38:10] ~ K; 473000
IF G = 1 THEN 474000
BEGIN 475000
P ~ P - 1; L ~ N + P; WRITE(PRINTER,MISSUM9,CNAME[L+1]) 476000
END; 477000
U[28] ~ P; CNAME[L+1] ~ "EOF "; CNAME[0] ~ "ARTFCL"; 478000
IF K ~ K + 1 > 1022 THEN 479000
BEGIN 480000
IF H ~ H+1{7 THEN K ~ 0 ELSE GO TO M10 481000
END; 482000
W[L].[38:10] ~ K; W[L].[35:3] ~ H; GO TO M18; 483000
COMMENT PRINT OUT THE EXPLICITELY REJECTED ROWS IF SO DESIRED; 484000
M21: IF DL = " PRINT" AND C >0 THEN 485000
BEGIN 486000
WRITE(PRINTER, MISSUM5); 487000
WRITE(PRINTER, MISSUM6, FOR R ~ 1 STEP 1 UNTIL C DO 488000
[R, RJ[R]]) 489000
END ; 490000
IF FL = " SPLIT" THEN GO TO ENDPROGRAM 491000
END; 492000
PROCEDURE PRICES; 493000
COMMENT THIS PROCEDURE FINDS THE DESIRED ROWS OF THE INVERSE. 494000
IT WILL ALSO SOLVE FOR CORRESPONDING ROWS OF THE 495000
IDENTITY MATRIX (I.E., THAT MATRIX RESULTING FROM 496000
MATRIX MULTIPLYING THE MATRIX AND ITS INVERSE).; 497000
BEGIN 498000
INTEGER G,B; 499000
FORMAT OUT INVCK(5(" [",I4,"] ",E16.9)/); 500000
FORMAT YT(//"THE FOLLOWING IS THE",I4,"TH ROW OF THE MATRIX", 501000
"PRODUCT OF THE DATA MATRIX WITH ITS INVERSE"/); 502000
INTEGER CHK; 503000
REAL PP,RR,UU,VV,WW,KK; 504000
ARRAY L,K[0:M]; 505000
ALPHA ARRAY INV[0:M]; 506000
LABEL AG; 507000
CHK ~ 0; 508000
WRITE(PRINTER,FORI); 509000
READ(CARD,ALPH,CONTROL); 510000
AG: READ(CARD,ALPH,CONTROL); 511000
IF CONTROL = "CHECK " THEN 512000
COMMENT FIND CORRESPONDING ROWS OF THE IDENTITY MATRIX ; 513000
BEGIN 514000
CHK ~ 1; 515000
WRITE(PRINTER,CONT,CONTROL); 516000
GO TO AG; 517000
END; 518000
IF CONTROL ! "ALL " THEN 519000
COMMENT SOLVE FOR THE ENTIRE INVERSE ; 520000
BEGIN 521000
IF CONTROL ! "END " THEN 522000
BEGIN 523000
FOR I ~ 1 STEP 1 UNTIL M DO 524000
IF RNAME[I] = CONTROL THEN 525000
INV[I-1] ~ CONTROL; 526000
WRITE(PRINTER,CONT2,CONTROL); 527000
GO TO AG; 528000
END; 529000
END 530000
ELSE 531000
BEGIN 532000
WRITE(PRINTER,CONT,CONTROL); 533000
READ(CARD,ALPH,CONTROL); 534000
FOR I ~ 1 STEP 1 UNTIL M DO 535000
INV[I-1] ~ RNAME[I]; 536000
END; 537000
COMMENT THE FOLLOWING SECTION SOLVES FOR A ROW OF THE INVERSE ; 538000
FOR I ~ 0 STEP 1 UNTIL RKM DO 539000
IF INV[I] ! 0 THEN 540000
BEGIN 541000
FOR G ~ 0 STEP 1 UNTIL M DO 542000
K[G] ~ 0; 543000
FOR J ~ 0 STEP 1 UNTIL RKM DO 544000
IF BH[J] = I THEN 545000
K[J] ~ 1; 546000
FOR G ~ NR STEP -1 UNTIL 1 DO 547000
BEGIN 548000
PP ~ TE[G].[38:10] - 1; 549000
UU ~ TE[G-1].[38:10]; 550000
VV ~ TE[G-1].[33:5]; 551000
WW ~ TE[G-1].[23:10]; 552000
KK ~ 0; 553000
IF PP < UU THEN 554000
BEGIN 555000
RR ~ VV + 1; 556000
FOR B ~ UU STEP 1 UNTIL 1022 DO 557000
KK ~ KK + K[EI[VV,B]] | E[VV,B]; 558000
FOR B ~ 0 STEP 1 UNTIL PP DO 559000
KK ~ KK + K[EI[RR,B]] | E[RR,B]; 560000
END 561000
ELSE 562000
FOR B ~ UU STEP 1 UNTIL PP DO 563000
KK ~ KK + K[EI[VV,B]] | E[VV,B]; 564000
K[WW] ~ KK; 565000
END; 566000
WRITE(PRINTER,FOX,I+1,INV[I]); 567000
WRITE(PRINTER,PR,FOR B~0 STEP 1 UNTIL RKM DO 568000
[I+1,B+1,K[B]]); 569000
COMMENT THE FOLLOWING SECTION SOLVES FOR A ROW OF THE 570000
IDENTITY MATRIX ; 571000
IF CHK = 1 THEN 572000
BEGIN 573000
FOR J ~ 0 STEP 1 UNTIL RKM DO 574000
BEGIN 575000
PP ~ W[J].[35:3]; 576000
UU ~ W[J].[38:10]; 577000
VV ~ W[J+1].[38:10] - 1; 578000
KK ~ 0; 579000
IF VV } UU THEN 580000
FOR F ~ UU STEP 1 UNTIL VV DO 581000
KK ~ KK + K[AI[PP,F]] | A[PP,F] 582000
ELSE 583000
BEGIN 584000
FOR F ~ UU STEP 1 UNTIL 1022 DO 585000
KK ~ KK + K[AI[PP,F]] | A[PP,F]; 586000
FOR F ~ 0 STEP 1 UNTIL VV DO 587000
KK ~ KK + K[AI[PP+1,F]] | A[PP+1,F]; 588000
END; 589000
V[J] ~ KK; 590000
END; 591000
WRITE(PRINTER,YT,I+1); 592000
WRITE(PRINTER,INVCK,FOR F~0 STEP 1 UNTIL RKM DO 593000
[F+1,V[F]]); 594000
END; 595000
END; 596000
END; 597000
PROCEDURE ERROR(SOL); 598000
COMMENT THIS PROCEDURE SOLVES AND PRINTS THE RESULT OF 599000
SUBTRACTING THE MATRIX PRODUCT OF THE SOLUTION AND THE 600000
COEFFICIENT MATRIX FROM THE RIGHT HAND SIDE ; 601000
VALUE SOL; 602000
ARRAY SOL[0]; 603000
BEGIN 604000
ARRAY ER[0:RKM]; 605000
REAL R,B,C,D,RHSFG; 606000
FORMAT KK("(",I4,")",X3,A6," ERROR = ",E17.10/); 607000
FORMAT SK(//"ERRORS RESULTING FROM SUBTRACTING THE MATRIX", 608000
"PRODUCT OF THE DATA MATRIX AND THE SOLUTION FROM THE", 609000
" RIGHT HAND SIDE"//); 610000
FORMAT TK("**** MAXIMUM ERROR FOUND FOR ROW ",A6, 611000
" , ERROR = ",E16.9," ****"/); 612000
FOR I~0 STEP 1 UNTIL RKM DO ER[I] ~ 0; 613000
IF BBB ! -1 THEN 614000
BEGIN 615000
FOR I ~ M+1 STEP 1 UNTIL N DO 616000
IF CNAME[I] = RH[BBB] THEN 617000
RHSFG ~ I - 1 618000
END 619000
ELSE 620000
RHSFG ~ M; 621000
FOR I ~ 0 STEP 1 UNTIL RKM DO 622000
BEGIN 623000
R ~ W[I].[35:3]; 624000
B ~ W[I].[38:10]; 625000
C ~ W[I+1].[38:10] - 1; 626000
IF C } B THEN 627000
FOR J ~ B STEP 1 UNTIL C DO 628000
ER[AI[R,J]] ~ ER[AI[R,J]] + A[R,J] | SOL[I] 629000
ELSE 630000
BEGIN 631000
D ~ R + 1; 632000
FOR J ~ B STEP 1 UNTIL 1022 DO 633000
ER[AI[R,J]] ~ ER[AI[R,J]] + A[R,J] | SOL[I]; 634000
FOR J ~ 0 STEP 1 UNTIL C DO 635000
ER[AI[D,J]] ~ ER[AI[D,J]] + A[D,J] | SOL[I]; 636000
END; 637000
END; 638000
FOR I ~ 0 STEP 1 UNTIL RKM DO V[I] ~ 0; 639000
R ~ W[RHSFG].[35:3]; 640000
B ~ W[RHSFG].[38:10]; 641000
C ~ W[RHSFG+1].[38:10] - 1; 642000
IF C } B THEN 643000
FOR J ~ B STEP 1 UNTIL C DO 644000
V[AI[R,J]] ~ A[R,J] 645000
ELSE 646000
BEGIN 647000
D ~ R + 1; 648000
FOR J ~ B STEP 1 UNTIL 1022 DO 649000
V[AI[R,J]] ~ A[R,J]; 650000
FOR J ~ 0 STEP 1 UNTIL C DO 651000
V[AI[D,J]] ~ A[D,J]; 652000
END; 653000
WRITE(PRINTER,SK); 654000
FOR I ~ 0 STEP 1 UNTIL RKM DO 655000
WRITE(PRINTER,KK,I+1,RNAME[I+1],(ER[I] - V[I])); 656000
R ~ 0; 657000
COMMENT THE LARGEST ERROR IS FOUND AND SEPARATELY PRINTED ; 658000
FOR I ~ 0 STEP 1 UNTIL RKM DO 659000
IF ABS(ER[I] - V[I]) > R THEN 660000
BEGIN 661000
R ~ ABS(ER[I] - V[I]); 662000
B ~ I; 663000
END; 664000
WRITE(PRINTER,TK,RNAME[B+1],R); 665000
END; 666000
NR ~ 0; 667000
SU ~ 3333; 668000
FOR F ~ 0 STEP 1 UNTIL RK1 DO BH[F] ~ SU; 669000
RL ~ 0; 670000
SQ ~ 0; 671000
FLAG ~0; 672000
TOL1 ~ 0.0001; 673000
TOL3 ~ 0.000001; 674000
XX ~ 0; 675000
BBB ~ -1; 676000
DET ~ 1; 677000
FOR I ~ 0 STEP 1 UNTIL 40 DO 678000
U[I] ~ 9999; 679000
BL1 ~ BL2 ~ BL3 ~ FALSE; 680000
TW ~ 0; 681000
BL5 ~ TRUE; 682000
MAXE ~ 0; MINE ~ @+50; 683000
IF BOOL1 THEN 684000
COMMENT THE PROGRAM IS RESTARTED USING NECESSARY DATA 685000
PREVIOUSLY DUMPED AFTER THE END OF THE INPUT PROCEDURES ; 686000
BEGIN 687000
FILE IN TPR(1,1023); 688000
READ(TPR,11,RESTART[*]); 689000
IT ~ RESTART[1]; 690000
M ~ RESTART[2]; 691000
N ~ RESTART[3]; 692000
BBB ~ RESTART[4]; 693000
TOL1 ~ RESTART[7]; 694000
TOL2 ~ RESTART[8]; 695000
RKM ~ M - 1; 696000
FOR I ~ 0 STEP 1 UNTIL IT DO 697000
BEGIN 698000
A[I,0] ~ A[I,0]; 699000
READ(TPR,1023,A[I,*]); 700000
END; 701000
FOR I ~ 0 STEP 1 UNTIL IT DO 702000
BEGIN 703000
AI[I,0] ~ AI[I,0]; 704000
READ(TPR,1023,AI[I,*]); 705000
END; 706000
READ(TPR,RK1,TALLY[*]); 707000
READ(TPR,RK1,B[*]); 708000
READ(TPR,RK1,RNAME[*]); 709000
READ(TPR,RK2,W[*]); 710000
READ(TPR,RK2,CNAME[*]); 711000
READ(TPR,RK2,SCN[*]); 712000
BL2 ~ TRUE; 713000
END; 714000
READ(CARD[NO],ALPH,CONTROL); 715000
IF CONTROL = "RESUME" THEN 716000
COMMENT THE PROGRAM IS RESUMED AT THE POINT AT WHICH THE 717000
TRANSFORMATION VECTORS WERE LAST DUMPED ; 718000
BEGIN 719000
FILE IN TPX(1,1023); 720000
READ(CARD,ALPH,CONTROL); 721000
WRITE(PRINTER[DBL],CONT,CONTROL); 722000
READ(TPX,11,DUMPT[*]); 723000
K ~ DUMPT[1]; 724000
L ~ DUMPT[2]; 725000
CST ~ DUMPT[3]; 726000
NR ~ DUMPT[4]; 727000
TW ~ DUMPT[5]; 728000
RK1 ~ DUMPT[6]; 729000
RK2 ~ DUMPT[7]; 730000
TOL1 ~ DUMPT[8]; 731000
TOL2 ~ DUMPT[9]; 732000
READ(TPX,RK1,TALLY[*]); 733000
READ(TPX,RK1,B[*]); 734000
READ(TPX,RK1,BH[*]); 735000
READ(TPX,RK2,W[*]); 736000
READ(TPX,RK2,TE[*]); 737000
READ(TPX,RK2,SCN[*]); 738000
FOR I ~ 0 STEP 1 UNTIL K DO 739000
BEGIN 740000
E[I,0] ~ E[I,0]; 741000
READ(TPX,1023,E[I,*]); 742000
END; 743000
FOR I ~ 0 STEP 1 UNTIL K DO 744000
BEGIN 745000
EI[I,0] ~ EI[I,0]; 746000
READ(TPX,1023,EI[I,*]); 747000
END; 748000
BL3 ~ TRUE; 749000
END; 750000
IF BL2 THEN GO TO DUMP1; 751000
READ (CARD[NO],ALPH,CONTROL); 752000
IF CONTROL = "DELETE" THEN 753000
BEGIN 754000
LABEL M1; 755000
READ (CARD,ALPH,CONTROL); 756000
WRITE(PRINTER,CONT,CONTROL); 757000
M1: READ (CARD[NO],ALPH,CONTROL); 758000
IF CONTROL ! "END " THEN 759000
BEGIN 760000
READ (CARD,ALP,AC,AD); 761000
WRITE(PRINTER,FOF,AC,AD); 762000
IF AC = "ROW " THEN 763000
RJ[RL ~ RL + 1] ~ AD 764000
ELSE 765000
DC[SQ ~ SQ + 1] ~ AD; 766000
GO TO M1; 767000
END; 768000
READ(CARD,ALPH,CONTROL); 769000
WRITE(PRINTER[DBL]); 770000
END; 771000
BEGIN 772000
FILE OUT TAPE1 2(1,10); 773000
FORMAT INP(//"THE INPUT CONTROL CARD IS NOT PRESENT."), 774000
REA(/"READ DATA CONTROL CARD"/), 775000
REAE(/"READ DATA CONTROL CARD NOT PRESENT"); 776000
BOOLEAN BLA,BLB,BLC,BLD; 777000
BLA ~ BLB ~ BLC ~ BLD ~ FALSE; 778000
READ(CARD,CCI,AC,AD); 779000
IF AC = "INPUT " THEN 780000
BEGIN 781000
WRITE(PRINTER,CCO,AC,AD); 782000
IF AD = "CARD " THEN 783000
BLA ~ TRUE; 784000
END 785000
ELSE 786000
BEGIN 787000
WRITE(PRINTER,INP); 788000
GO TO STOP; 789000
END; 790000
READ(CARD[NO],CCI,AC,AD); 791000
IF AC = "PRINT " THEN 792000
BEGIN 793000
READ(CARD,CCI,AC,AD); 794000
IF AD = "PRINTE" THEN 795000
BEGIN 796000
WRITE(PRINTER,PRIN,AC); 797000
BLB ~ TRUE; 798000
END 799000
ELSE 800000
WRITE(PRINTER,CCO,AC,AD); 801000
DL ~ "PRINT "; 802000
END; 803000
READ(CARD[NO],CCI,AC,AD); 804000
IF AC = "WRITE " THEN 805000
BEGIN 806000
READ(CARD,CCI,AC,AD); 807000
IF AD = "PRINTE" THEN 808000
BEGIN 809000
WRITE(PRINTER,PRIN,AC); 810000
BLC ~ TRUE; 811000
END 812000
ELSE 813000
WRITE(PRINTER,CCO,AC,AD); 814000
RT ~ 1; 815000
END; 816000
READ(CARD,CCI,AC,AD); 817000
IF AC = "READ D" THEN 818000
WRITE(PRINTER,REA) 819000
ELSE 820000
BEGIN 821000
WRITE(PRINTER,REAE); 822000
GO TO STOP; 823000
END; 824000
IF BLA THEN 825000
BEGIN 826000
IF BLB THEN 827000
BEGIN 828000
RWID(CARD,PRINTER); 829000
MATRIXREAD(CARD,PRINTER); 830000
END 831000
ELSE 832000
BEGIN 833000
RWID(CARD,TAPE1); 834000
MATRIXREAD(CARD,TAPE1); 835000
END; 836000
END 837000
ELSE 838000
BEGIN 839000
FILE IN TAPEB(1,10); 840000
READ(CARD[NO],ALP,AC,AD); 841000
IF AC = "LOCATE" THEN 842000
BEGIN 843000
LABEL T; 844000
READ(CARD,ALP,AC,AD); 845000
T: READ(TAPEB,ALPH,CONTROL); 846000
IF CONTROL ! AD THEN 847000
GO TO T; 848000
END; 849000
IF BLB THEN 850000
BEGIN 851000
RWID(TAPEB,PRINTER); 852000
MATRIXREAD(TAPEB,PRINTER); 853000
END 854000
ELSE 855000
BEGIN 856000
RWID(TAPEB,TAPE1); 857000
MATRIXREAD(TAPEB,TAPE1); 858000
END; 859000
END; 860000
END; 861000
H ~ U[28]; 862000
IF M ! N THEN 863000
COMMENT THAT THE MATRIX IS NOT SQUARE WILL BE PRINTED AND THE 864000
PROGRAM WILL HALT. ; 865000
BEGIN 866000
WRITE (PRINTER,FO4); 867000
GO TO STOP; 868000
END; 869000
N ~ N + U[28]; 870000
TOL2 ~ ABS(MINE / MAXE); 871000
DUMP1: 872000
WRITE(PRINTER[DBL]); 873000
READ(CARD[NO],TO1,AC,R,S,RS); 874000
IF AC = "TOLERA" THEN 875000
BEGIN 876000
FORMAT TO2("TOLERANCES CONTROL CARD"/); 877000
READ(CARD,TO1,AC,R,S,RS); 878000
WRITE(PRINTER,TO2); 879000
TOL1 ~ R; 880000
TOL2 ~ S; 881000
TOL3 ~ RS; 882000
END; 883000
WRITE(PRINTER,TO3,TOL1,TOL2,TOL3); 884000
WRITE(PRINTER[DBL]); 885000
READ (CARD[NO],ALPH,CONTROL); 886000
IF CONTROL = "CHANGE" THEN 887000
COMMENT APPROPRIATE COEFFICIENT MATRIX ENTRIES ARE GIVEN 888000
NEW VALUES ; 889000
BEGIN 890000
LABEL RET; 891000
INTEGER RW,CLM; 892000
REAL VAL; 893000
READ(CARD,ALPH,CONTROL); 894000
WRITE(PRINTER,CONT,CONTROL); 895000
RET: READ(CARD,CH,AC,AD,VAL); 896000
IF AC ! "END " THEN 897000
BEGIN 898000
WRITE(PRINTER,PCH,AC,AD,VAL); 899000
FOR I ~ 1 STEP 1 UNTIL M DO 900000
IF RNAME[I] = AD THEN 901000
RW ~ I - 1; 902000
FOR I ~ 1 STEP 1 UNTIL N DO 903000
IF CNAME[I] = AC THEN 904000
CLM ~ I - 1; 905000
X ~ W[CLM].[35:3]; 906000
Y ~ W[CLM].[38:10]; 907000
XX ~ W[CLM+1].[35:3]; 908000
YY ~ W[CLM+1].[38:10] - 1; 909000
IF YY = -1 THEN XX ~ XX - 1; 910000
FOR I ~ X STEP 1 UNTIL XX DO 911000
FOR J ~ 0 STEP 1 WHILE (I!XX OR J{YY) AND J{1022 DO 912000
IF J}Y OR I!X THEN 913000
IF AI[I,J] = RW THEN 914000
A[I,J] ~ VAL; 915000
GO TO RET; 916000
END; 917000
WRITE(PRINTER[DBL]); 918000
END; 919000
RKM ~ M - 1; 920000
COMMENT THIS SECTION CHECKS TO FIND IF ANY COLUMN IS EMPTY. 921000
EMPTY MEANS THAT NO ENTRY IS LARGER THAN A TOLERANCE, 922000
TOL1. IF A COLUMN IS FOUND EMPTY THE NUMBER AND NAME 923000
OF THIS COLUMN WILL BE PRINTED AND THE PROGRAM WILL 924000
HALT. ; 925000
FOR I ~ 0 STEP 1 UNTIL RKM DO 926000
BEGIN 927000
F ~ 0; 928000
IT ~ W[I].[35:3]; 929000
INDEX ~ W[I].[38:10]; 930000
L ~ W[I+1].[38:10] - 1; 931000
IF L < INDEX THEN 932000
BEGIN 933000
K ~ IT + 1; 934000
FOR J ~ INDEX STEP 1 UNTIL 1022 DO 935000
IF ABS(A[IT,J]) > TOL1 THEN 936000
F ~ F + 1; 937000
FOR J~0 STEP 1 UNTIL L DO IF ABS(A[K,J]) > TOL1 THEN 938000
F ~ F + 1; 939000
END 940000
ELSE 941000
FOR J ~ INDEX STEP 1 UNTIL L DO 942000
IF ABS(A[IT,J]) > TOL1 THEN 943000
F ~ F + 1; 944000
IF F = 0 THEN 945000
BEGIN 946000
WRITE(PRINTER,FO11A); 947000
WRITE(PRINTER,CONT,CNAME[I+1]); 948000
GO TO STOP; 949000
END; 950000
END; 951000
FOR I ~ 0 STEP 1 UNTIL RKM DO 952000
TALLY[I] ~ 0; 953000
COMMENT THIS SECTION CHECKS TO FIND IF ANY ROW IS EMPTY. EMPTY 954000
MEANS THAT NO ENTRY IS LARGER THAN A TOLERANCE, TOL1. 955000
IF A ROW IS FOUND EMPTY, THE NUMBER AND NAME OF THIS ROW 956000
WILL BE PRINTED AND THE PROGRAM WILL HALT. THIS 957000
SECTION ALSO FINDS THE DENSITIES OF THE ROWS. ; 958000
BEGIN 959000
IT ~ W[M].[33:5]; 960000
INDEX ~ W[M].[38:10] - 1; 961000
IF INDEX = -1 THEN IT ~ IT - 1; 962000
FOR I ~ 0 STEP 1 UNTIL IT DO 963000
IF I ! IT THEN 964000
BEGIN 965000
FOR J ~ 0 STEP 1 UNTIL 1022 DO 966000
IF ABS(A[I,J]) > TOL1 THEN 967000
TALLY[AI[I,J]] ~ TALLY[AI[I,J]] + 1; 968000
END 969000
ELSE 970000
FOR J ~ 0 STEP 1 UNTIL INDEX DO 971000
IF ABS(A[I,J]) > TOL1 THEN 972000
TALLY[AI[IT,J]] ~ TALLY[AI[I,J]] + 1; 973000
FOR I ~ 0 STEP 1 UNTIL RKM DO 974000
IF TALLY[I] = 0 THEN 975000
BEGIN 976000
WRITE(PRINTER,FO11); 977000
WRITE(PRINTER,CONT,RNAME[I+1]); 978000
GO TO STOP; 979000
END; 980000
END; 981000
READ(CARD[NO],ALPH,CONTROL); 982000
IF CONTROL = "FACTOR" THEN 983000
COMMENT APPROPRIATE COLUMNS WILL BE MULTIPLIED BY THE GIVEN 984000
FACTORS. ; 985000
BEGIN 986000
LABEL REPSOL; 987000
FORMAT FR("THE SOLUTION FOR COLUMN ",A6," MUST BE MULTIPLIED BY", 988000
" @",I4," TO OBTAIN THE CORRECT RESULTS."/); 989000
READ(CARD,ALPH,CONTROL); 990000
WRITE(PRINTER[DBL],CONT,CONTROL); 991000
REPSOL: READ(CARD,FOT,CONTROL,Z,ZZ); 992000
IF CONTROL ! "END " THEN 993000
BEGIN 994000
FOR I ~ 1 STEP 1 UNTIL M DO 995000
IF CNAME[I] = CONTROL THEN 996000
BEGIN 997000
WRITE(PRINTER,FR,CNAME[I],Z); 998000
Q ~ W[I-1].[35:3]; 999000
R ~ W[I-1].[38:10]; 1000000
RS ~ W[I].[38:10] - 1; 1001000
IF RS}R THEN 1002000
FOR J ~ R STEP 1 UNTIL RS DO 1003000
A[Q,J] ~ A[Q,J] | 10*Z 1004000
ELSE 1005000
BEGIN 1006000
FOR J ~ R STEP 1 UNTIL 1022 DO 1007000
A[Q,J] ~ A[Q,J] | 10*Z; 1008000
FOR J ~ 0 STEP 1 UNTIL RS DO 1009000
A[Q+1,J] ~ A[Q+1,J] | 10*Z; 1010000
END; 1011000
GO TO REPSOL 1012000
END; 1013000
END; 1014000
END; 1015000
READ (CARD[NO],ALPH,CONTROL); 1016000
IF CONTROL = "RHS " THEN 1017000
COMMENT THE PROGRAM WILL SOLVE FOR ALL OF THE DESIRED RIGHT 1018000
HAND SIDES. IF THIS CONTROL CARD IS NOT PRESENT THE 1019000
PROGRAM WILL SOLVE THE EQUATIONS USING THE FIRST RIGHT 1020000
HAND SIDE. ; 1021000
BEGIN 1022000
READ(CARD,ALPH,CONTROL); 1023000
WRITE(PRINTER,CONT,CONTROL); 1024000
M7: READ (CARD[NO],ALPH,CONTROL); 1025000
IF CONTROL ! "END " THEN 1026000
BEGIN 1027000
READ(CARD,ALPH,RH[BBB ~ BBB + 1]); 1028000
WRITE(PRINTER,CONT2,RH[BBB]); 1029000
GO TO M7; 1030000
END 1031000
ELSE 1032000
READ(CARD,ALPH,CONTROL); 1033000
WRITE(PRINTER[DBL]); 1034000
END; 1035000
FOR I ~ 0 STEP 1 UNTIL RKM DO B[I] ~ 0; 1036000
IF BBB = -1 THEN 1037000
BEGIN 1038000
FLAG ~ 1; 1039000
UPDATE(M); 1040000
FOR I ~ 0 STEP 1 UNTIL RKM DO 1041000
B[I] ~ V[I]; 1042000
FLAG ~ 0; 1043000
AE ~ CNAME[M+1]; 1044000
END 1045000
ELSE 1046000
FOR I ~ M + 1 STEP 1 UNTIL N DO 1047000
IF CNAME[I] = RH[BBB] THEN 1048000
BEGIN 1049000
AE ~ CNAME[I]; 1050000
FLAG ~ 1; 1051000
UPDATE(I-1); 1052000
FOR F ~ 0 STEP 1 UNTIL RKM DO 1053000
B[F] ~ V[F]; 1054000
FLAG ~ 0; 1055000
I ~ N ; 1056000
END; 1057000
IF NOT BL2 THEN 1058000
BEGIN 1059000
COMMENT THE COLUMNS ARE SORTED BY THEIR DENSITIES. ; 1060000
FOR I ~ 1 STEP 1 UNTIL M DO 1061000
COUNT[I] ~ COUNT[I] + COUNT[I-1]; 1062000
FOR I ~ 0 STEP 1 UNTIL RKM DO 1063000
BEGIN 1064000
SCN[COUNT[CNO[I]]] ~ I; 1065000
COUNT[CNO[I]] ~ COUNT[CNO[I]] - 1; 1066000
END; 1067000
END; 1068000
READ(CARD[NO],ALPH,CONTROL); 1069000
IF CONTROL = "DUMP " THEN 1070000
COMMENT THE INITIALIZED MATRICES WILL BE DUMPED AT THIS POINT. ; 1071000
BEGIN 1072000
RESTART[1] ~ IT ~ W[N].[35:3]; 1073000
RESTART[2] ~ M; 1074000
RESTART[3] ~ N; 1075000
RESTART[4] ~ BBB; 1076000
RESTART[5] ~ RK1; 1077000
RESTART[6] ~ RK2; 1078000
RESTART[7] ~ TOL1; 1079000
RESTART[8] ~ TOL2; 1080000
WRITE(TPR,11,RESTART[*]); 1081000
FOR I ~ 0 STEP 1 UNTIL IT DO 1082000
BEGIN 1083000
A[I,0] ~ A[I,0]; 1084000
WRITE(TPR,1023,A[I,*]); 1085000
END; 1086000
FOR I ~ 0 STEP 1 UNTIL IT DO 1087000
BEGIN 1088000
AI[I,0] ~ AI[I,0]; 1089000
WRITE(TPR,1023,AI[I,*]); 1090000
END; 1091000
WRITE(TPR,RK1,TALLY[*]); 1092000
WRITE(TPR,RK1,B[*]); 1093000
WRITE(TPR,RK1,RNAME[*]); 1094000
WRITE(TPR,RK2,W[*]); 1095000
WRITE(TPR,RK2,CNAME[*]); 1096000
WRITE(TPR,RK2,SCN[*]); 1097000
READ(CARD,ALPH,CONTROL); 1098000
WRITE(PRINTER[DBL],CONT,CONTROL); 1099000
END; 1100000
READ(CARD[NO],FOT,CONTROL,FREQ); 1101000
IF CONTROL = "FREQUE" THEN 1102000
COMMENT THE TRANSFORMATION VECTORS WILL BE PERIODICALLY 1103000
DUMPED. ; 1104000
BEGIN 1105000
READ(CARD,FOT,CONTROL,FREQ); 1106000
WRITE(PRINTER,FRR,FREQ); 1107000
BL1 ~ TRUE; 1108000
END; 1109000
READ(CARD[NO],FOT,CONTROL,RS); 1110000
IF CONTROL = "MEMORY" THEN 1111000
BEGIN 1112000
READ(CARD,FOT,CONTROL,RS); 1113000
WRITE(PRINTER,MEM,RS); 1114000
MAXE ~ 16000 + (RS - 4) | 2000; 1115000
END 1116000
ELSE 1117000
MAXE ~ 24000; 1118000
BL4 ~ TRUE; 1119000
READ(CARD[NO],ALPH,CONTROL); 1120000
IF CONTROL = "INHIBI" THEN 1121000
BEGIN 1122000
READ(CARD,ALPH,CONTROL); 1123000
WRITE(PRINTER,INH); 1124000
BL4 ~ FALSE; 1125000
END; 1126000
AA ~ 0; 1127000
BOOL2 ~ FALSE; 1128000
READ(CARD[NO],ALPH,CONTROL); 1129000
IF CONTROL = "OUTPUT" THEN 1130000
COMMENT AFTER A COLUMN IS ENTERED A LINE OF OUTPUT WILL OCCUR. ; 1131000
BEGIN 1132000
READ(CARD,ALPH,CONTROL); 1133000
WRITE(PRINTER[DBL],CONT,CONTROL); 1134000
BOOL2 ~ TRUE; 1135000
END; 1136000
IF BOOL2 THEN 1137000
BEGIN 1138000
WRITE(PRINTER,IT1); 1139000
WRITE(PRINTER,IT2); 1140000
END; 1141000
ZEROTIME ~ TIME(1); 1142000
WRITE(PRINTER,TIM,0); 1143000
IF BL3 THEN GO TO ENT; 1144000
BEGIN 1145000
COMMENT THIS SECTION SEARCHES FOR A SUITABLE COLUMN FROM "A" TO 1146000
ENTER THE BASIS.; 1147000
CST ~ 0; 1148000
COMMENT HAVE ALL THE COLUMNS BEEN ENTERED. ; 1149000
ENT: IF NR = M THEN GO TO OUTPUT; 1150000
COMMENT HAVE ALL THE COLUMNS BEEN ENTERED THAT CAN BE BY THE 1151000
FIRST METHOD FOR SELECTING PIVOTS. ; 1152000
SEARCH: IF NR + TW = M THEN 1153000
COMMENT ATTEMPT TO ENTER THE REMAINING COLUMNS BY THE SECOND 1154000
METHOD OF SELECTING PIVOTS. ; 1155000
BEGIN 1156000
IF BL5 THEN 1157000
WRITE(PRINTER,RETO); 1158000
BL5 ~ FALSE; 1159000
FOR J ~ 0 STEP 1 UNTIL RKM DO 1160000
IF W[J].[25:10] ! 1023 THEN 1161000
BEGIN 1162000
FLAG ~ 1 ; 1163000
UPDATE(J); 1164000
FLAG ~ 0; 1165000
INDEX ~ J; 1166000
SUM ~ 0; IT ~ -1; 1167000
COMMENT FIND THE LARGEST AVAILABLE PIVOT. ; 1168000
FOR I ~ 0 STEP 1 UNTIL RKM DO 1169000
IF ABS(V[I]) > SUM AND BH[I] = SU THEN 1170000
BEGIN 1171000
SUM ~ ABS(V[I]); IT ~ I; 1172000
END; 1173000
COMMENT IF A PIVOT HAS NOT BEEN FOUND GO TO THE OUTPUT 1174000
SECTION. ; 1175000
IF IT = -1 THEN GO TO OUTPUT; 1176000
TW ~ TW - 1; 1177000
BH[IT] ~ J; 1178000
W[J].[25:10] ~ 1023; 1179000
GO TO TRAN; 1180000
END; 1181000
END; 1182000
CST ~ CST + 1; 1183000
COMMENT SELECT THE NEXT COLUMN FROM THE LIST OF SORTED COLUMNS. ; 1184000
J ~ SCN[CST]; 1185000
EXTRACT: X ~ W[J].[35:3]; 1186000
Y ~ W[J].[38:10]; 1187000
ENT1: INDEX ~ J; 1188000
COMMENT UPDATE THE SELECTED COLUMN. ; 1189000
UPDATE(J); 1190000
COMMENT ATTEMPT TO FIND A PIVOT ROW BY MAXIMIZING OVER THE 1191000
SET OF MINIMUM ROW DENSITIES FOR THE ROWS ORIGINALLY 1192000
PRESENT IN THE COEFFICIENT MATRIX. ; 1193000
IF X ! XX THEN 1194000
BEGIN 1195000
SUM ~ @+50; 1196000
IT ~ -1; 1197000
FOR I ~ Y STEP 1 UNTIL 1022 DO 1198000
BEGIN 1199000
RS ~ AI[X,I]; 1200000
IF BH[RS] = SU THEN 1201000
IF TALLY[RS] { SUM THEN 1202000
BEGIN 1203000
IF TALLY[RS] < SUM THEN 1204000
BEGIN 1205000
IT ~ RS; 1206000
TG ~ ABS(V[RS]); 1207000
SUM ~ TALLY[RS]; 1208000
END 1209000
ELSE 1210000
IF ABS(V[RS]) > TG THEN 1211000
BEGIN 1212000
TG ~ ABS(V[RS]); 1213000
IT ~ RS; 1214000
END; 1215000
END; 1216000
END; 1217000
FOR I ~ 0 STEP 1 UNTIL YY DO 1218000
BEGIN 1219000
RS ~ AI[XX,I]; 1220000
IF BH[RS] = SU THEN 1221000
IF TALLY[RS] { SUM THEN 1222000
BEGIN 1223000
IF TALLY[RS] < SUM THEN 1224000
BEGIN 1225000
IT ~ RS; 1226000
TG ~ ABS(V[RS]); 1227000
SUM ~ TALLY[RS]; 1228000
END 1229000
ELSE 1230000
IF ABS(V[RS]) > TG THEN 1231000
BEGIN 1232000
TG ~ ABS(V[RS]); 1233000
IT ~ RS; 1234000
END; 1235000
END; 1236000
END; 1237000
END 1238000
ELSE 1239000
BEGIN 1240000
SUM ~ @+50; 1241000
IT ~ -1; 1242000
FOR I ~ Y STEP 1 UNTIL YY DO 1243000
BEGIN 1244000
RS ~ AI[X,I]; 1245000
IF BH[RS] = SU THEN 1246000
IF TALLY[RS] { SUM THEN 1247000
BEGIN 1248000
IF TALLY[RS] < SUM THEN 1249000
BEGIN 1250000
IT ~ RS; 1251000
TG ~ ABS(V[RS]); 1252000
SUM ~ TALLY[RS]; 1253000
END 1254000
ELSE 1255000
IF ABS(V[RS]) > TG THEN 1256000
BEGIN 1257000
TG ~ ABS(V[RS]); 1258000
IT ~ RS; 1259000
END; 1260000
END; 1261000
END; 1262000
END; 1263000
IF TG < TOL2 THEN 1264000
COMMENT NO PIVOT WAS FOUND LARGER THAN A TOLERANCE, TOL2. ; 1265000
IT ~ -1; 1266000
IF IT = -1 THEN 1267000
BEGIN 1268000
SUM ~ @+50; 1269000
FOR I ~ 0 STEP 1 UNTIL RKM DO 1270000
IF ABS(V[I]) > TOL2 THEN 1271000
IF BH[I] = SU THEN 1272000
IF TALLY[I] { SUM THEN 1273000
BEGIN 1274000
IF TALLY[I] < SUM THEN 1275000
BEGIN 1276000
IT ~ I; 1277000
TG ~ ABS(V[I]); 1278000
SUM ~ TALLY[I]; 1279000
END 1280000
ELSE 1281000
IF ABS(V[I]) > TG THEN 1282000
BEGIN 1283000
TG ~ ABS(V[I]); 1284000
IT ~ I; 1285000
END; 1286000
END; 1287000
END; 1288000
IF IT = -1 THEN 1289000
COMMENT NO PIVOT WAS FOUND. BOOST THE COUNTER FOR ROWS SKIPPED 1290000
BY ONE. ; 1291000
BEGIN 1292000
TW ~ TW + 1; 1293000
GO TO SEARCH; 1294000
END; 1295000
COMMENT STORE THE COLUMN NUMBER IN THE ROW UPON WHICH IT 1296000
PIVOTED. ; 1297000
BH[IT] ~ INDEX; 1298000
COMMENT MARK THE COLUMN AS ENTERED. ; 1299000
W[J].[25:10] ~ 1023; 1300000
COMMENT DECREASE THE TALLY (ROW DENSITY) COUNT. ; 1301000
IF X ! XX THEN 1302000
BEGIN 1303000
FOR I ~ Y STEP 1 UNTIL 1022 DO 1304000
TALLY[AI[X,I]] ~ TALLY[AI[X,I]] - 1; 1305000
FOR I ~ 0 STEP 1 UNTIL YY DO 1306000
TALLY[AI[XX,I]] ~ TALLY[AI[XX,I]] - 1; 1307000
END 1308000
ELSE 1309000
FOR I ~ Y STEP 1 UNTIL YY DO 1310000
TALLY[AI[X,I]] ~ TALLY[AI[X,I]] - 1; 1311000
COMMENT FIND NEW TRANSFORMATION VECTOR,"E", AND UPDATE "B".; 1312000
TRAN: BEGIN 1313000
T1 ~ V[IT]; 1314000
V[IT] ~ -1; 1315000
T2 ~ B[IT]; 1316000
B[IT] ~ 0; 1317000
FOR I ~ 0 STEP 1 UNTIL RKM DO 1318000
BEGIN 1319000
V[I] ~ -V[I] / T1; 1320000
B[I] ~ T2 | V[I] + B[I]; 1321000
END; 1322000
COMMENT STORE "E","EI","TE".; 1323000
TE[NR].[23:10] ~ IT; 1324000
K ~ TE[NR].[33:5]; 1325000
L ~ TE[NR].[38:10]; 1326000
FOR I ~ 0 STEP 1 UNTIL RKM DO 1327000
IF ABS(V[I]) > TOL3 THEN 1328000
IF L ! 1023 THEN 1329000
BEGIN 1330000
E[K,L] ~ V[I]; 1331000
EI[K,L] ~ I; 1332000
L ~ L + 1; 1333000
END 1334000
ELSE 1335000
BEGIN 1336000
K ~ K+1; 1337000
L ~ 0; 1338000
I ~ I - 1; 1339000
END; 1340000
NR ~ NR + 1; 1341000
TE[NR].[33:5] ~ K; 1342000
TE[NR].[38:10] ~ L; 1343000
COMMENT THE NEXT SECTION WILL DUMP THE TRANSFORMATION VECTORS 1344000
AND OTHER DATA NEEDED TO RESUME EITHER AFTER 1345000
MULTIPLES OF 7 ROWS OF TRANSFORMATION VECTOR ENTRIES 1346000
HAVE BEEN GENERATED OR AT A GIVEN FREQUENCY. ; 1347000
IF K MOD 7 = 0 THEN 1348000
IF FREQ = 0 THEN 1349000
IF K ! 0 THEN 1350000
GO TO LL; 1351000
IF BL1 THEN 1352000
IF NR MOD FREQ = 0 THEN 1353000
LL: BEGIN 1354000
FILE OUT TPX 2(1,1023); 1355000
DUMPT[1] ~ K; 1356000
DUMPT[2] ~ L; 1357000
DUMPT[3] ~ CST; 1358000
DUMPT[4] ~ NR; 1359000
DUMPT[5] ~ TW; 1360000
DUMPT[6] ~ RK1; 1361000
DUMPT[7] ~ RK2; 1362000
DUMPT[8] ~ TOL1; 1363000
DUMPT[9] ~ TOL2; 1364000
WRITE(TPX,11,DUMPT[*]); 1365000
WRITE(TPX,RK1,TALLY[*]); 1366000
WRITE(TPX,RK1,B[*]); 1367000
WRITE(TPX,RK1,BH[*]); 1368000
WRITE(TPX,RK2,W[*]); 1369000
WRITE(TPX,RK2,TE[*]); 1370000
WRITE(TPX,RK2,SCN[*]); 1371000
FOR I ~ 0 STEP 1 UNTIL K DO 1372000
BEGIN 1373000
E[I,0] ~ E[I,0]; 1374000
WRITE(TPX,1023,E[I,*]); 1375000
END; 1376000
FOR I ~ 0 STEP 1 UNTIL K DO 1377000
BEGIN 1378000
EI[I,0] ~ EI[I,0]; 1379000
WRITE(TPX,1023,EI[I,*]); 1380000
END; 1381000
END; 1382000
IF BOOL2 THEN 1383000
COMMENT A LINE OF OUTPUT PER COLUMN ENTERED WAS REQUESTED. ; 1384000
WRITE(PRINTER,FIT,AA~AA+1,CNAME[INDEX+1],NR,TW, 1385000
RNAME[IT+1],IT+1,T1,1023|K+L); 1386000
IF BL4 THEN 1387000
IF 1023 | K + L + M > MAXE THEN 1388000
BEGIN 1389000
WRITE(PRINTER,OUTCORE); 1390000
GO TO STOP; 1391000
END; 1392000
GO TO ENT; 1393000
END; 1394000
COMMENT THE FOLLOWING SECTION CHECKS TO SEE IF THE COEFFICIENT 1395000
MATRIX IS SINGULAR. THE SOLUTION IS THEN PRINTED. ANY 1396000
OTHER SOLUTIONS ARE COMPUTED AND PRINTED IF REQUESTED. ; 1397000
OUTPUT: FOR I ~ 0 STEP 1 UNTIL RKM DO 1398000
IF BH[I] =SU THEN 1399000
COMMENT THE MATRIX WAS FOUND SINGULAR. A MESSAGE WILL BE PRINTED; 1400000
BEGIN 1401000
WRITE(PRINTER,FO2); 1402000
GO TO STOP; 1403000
END; 1404000
FOR J ~ 0 STEP 1 UNTIL RKM DO 1405000
V[BH[J]] ~ B[J]; 1406000
WRITE(PRINTER,TIM,(TIME(1) - ZEROTIME)/60); 1407000
COMMENT PRINT THE SOLUTION. ; 1408000
WRITE(PRINTER,FO1,AE); 1409000
WRITE(PRINTER,KK,FOR F~0 STEP 1 UNTIL RKM DO 1410000
[F+1,CNAME[F+1],V[F]]); 1411000
ERROR(V); 1412000
BBB ~ BBB - 1; 1413000
M8: IF BBB } 0 THEN 1414000
COMMENT SOLVE FOR AND PRINT ANY ADDITIONAL REQUESTED SOLUTIONS. ; 1415000
BEGIN 1416000
FOR I ~ 0 STEP 1 UNTIL RKM DO B[I] ~ 0; 1417000
FLAG ~ 1; 1418000
FOR I ~ M + 1 STEP 1 UNTIL N DO 1419000
IF CNAME[I] = RH[BBB] THEN 1420000
BEGIN 1421000
WRITE(PRINTER,FO1,CNAME[I]); 1422000
UPDATE(I-1); 1423000
FOR J ~ 0 STEP 1 UNTIL RKM DO 1424000
B[BH[J]] ~ V[J] ; 1425000
WRITE(PRINTER,KK,FOR F~0 STEP 1 UNTIL RKM DO 1426000
[F+1,CNAME[F+1],B[F]]); 1427000
ERROR(B); 1428000
BBB ~ BBB - 1; 1429000
GO TO M8; 1430000
END; 1431000
END; 1432000
END; 1433000
READ(CARD[NO],ALPH,CONTROL); 1434000
IF CONTROL = "ROWS O" THEN 1435000
COMMENT SOLVE FOR REQUESTED ROWS OF THE INVERSE. ; 1436000
PRICES; 1437000
END; 1438000
COMMENT IF THE "NEW PROBLEM" CONTROL CARD IS PRESENT THE PROGRAM 1439000
WILL RUN AGAIN EXPECTING ALL NECESSARY CONTROL CARDS AND 1440000
DATA TO IMMEDIATELY FOLLOW. ; 1441000
READ(CARD[NO],ALPH,CONTROL); 1442000
IF CONTROL = "NEW PR" THEN 1443000
BEGIN 1444000
FORMAT AN("*****",X43,"***** NEW PROBLEM. *****",X43,"*****"); 1445000
READ(CARD,ALPH,CONTROL); 1446000
WRITE(PRINTER[PAGE]); 1447000
WRITE(PRINTER,AN); 1448000
GO TO SS; 1449000
END; 1450000
WRITE(PRINTER[DBL]); 1451000
IF CONTROL = "CONCLU" THEN 1452000
WRITE(PRINTER,FO10) 1453000
ELSE 1454000
BEGIN 1455000
READ(CARD,AL,FOR I ~ 0 STEP 1 UNTIL 11 DO HEAD[I]); 1456000
WRITE(PRINTER,FOE,FOR I ~ 0 STEP 1 UNTIL 11 DO HEAD[I]); 1457000
END ; 1458000
GO TO STOP; 1459000
ENDPROGRAM: ; 1460000
STOP: END. 1461000
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