Source Code

These source-code files are part of a reconstructed copy of Luminary 178, the final release of the Apollo 14 Lunar Module (LM) Apollo Guidance Computer (AGC) software.

The reconstruction began with source code of Zerlina 56, Luminary 210, and Luminary 131, previously transcribed from digitized copies of those programs. The code was created by combining the three, using Zerlina 56 as a base, since it was based off of Luminary 183. The differences between the three were carefully merged using the Luminary memos as a guide, with all changes made after Luminary 178 being backed out. The reconstruction was verified by matching memory-bank checksums to those listed in drawing 2021152N. Note that page numbers in the reconstructed code match those for the baseline log section mentioned in each file's changelog; the page numbers for a real Luminary 178 listing would be different.

Comments from the original source code are prefixed with a single '#' symbol, whereas comments added later are prefixed by "##" or "###". Report any errors noted by creating an issue report at the Virtual AGC project's GitHub repository.

062997,000002:                                                                                                  ## Copyright:   Public domain.
062998,000003:                                                                                                  ## Filename:    TRIM_GIMBAL_CONTROL_SYSTEM.agc
062999,000004:                                                                                                  ## Purpose:     A section of Luminary revision 178.
063000,000005:                                                                                                  ##              It is part of the reconstructed source code for the final
063001,000006:                                                                                                  ##              release of the flight software for the Lunar Module's
063002,000007:                                                                                                  ##              (LM) Apollo Guidance Computer (AGC) for Apollo 14. The
063003,000008:                                                                                                  ##              code has been recreated from copies of Zerlina 56, Luminary
063004,000009:                                                                                                  ##              210, and Luminary 131, as well as many Luminary memos.
063005,000010:                                                                                                  ##              It has been adapted such that the resulting bugger words
063006,000011:                                                                                                  ##              exactly match those specified for Luminary 178 in NASA
063007,000012:                                                                                                  ##              drawing 2021152N, which gives relatively high confidence
063008,000013:                                                                                                  ##              that the reconstruction is correct.
063009,000014:                                                                                                  ## Reference:   pp. 1460-1472
063010,000015:                                                                                                  ## Assembler:   yaYUL
063011,000016:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
063012,000017:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
063013,000018:                                                                                                  ## Mod history: 2019-08-14 MAS  Created from Zerlina 56.
063014,000019: 

Page 1460

063016,000021: 21,2654                                           BANK     21                                    
063017,000022: 21,2654  E6,1450                                  EBANK=   QDIFF                                 
063018,000023: 21,2000                                           SETLOC   DAPS4                                 
063019,000024: 21,2000                                           BANK                                           
063020,000025: 
063021,000026: 21,2654                                           COUNT*   $$/DAPGT                              
063022,000027: 
063023,000028:                                                                                                  #  CONTROL REACHES THIS POINT UNDER EITHER OF THE FOLLOWING TWO CONDITIONS ONCE THE DESCENT ENGINE AND THE DIGITAL
063024,000029:                                                                                                  #  AUTOPILOT ARE BOTH ON:
063025,000030:                                                                                                  #           A) THE TRIM GIMBAL CONTROL LAW WAS ON DURING THE PREVIOUS Q,R-AXIS TIME5 INTERRUPT (OR THE DAPIDLER
063026,000031:                                                                                                  #              INITIALIZATION WAS SET FOR TRIM GIMBAL CONTROL AND THIS IS THE FIRST PASS), OR
063027,000032:                                                                                                  #           B) THE Q,R-AXES RCS AUTOPILOT DETERMINED THAT THE VEHICLE WAS ENTERING (OR HAD JUST ENTERED) A COAST
063028,000033:                                                                                                  #              ZONE WITH A SMALL OFFSET ANGULAR ACCELERATION.
063029,000034: 
063030,000035:                                                                                                  #  GTS IS THE ENTRY TO THE GIMBAL TRIM SYSTEM FOR CONTROLLING ATTITUDE ERRORS AND RATES AS WELL AS ACCELERATIONS.
063031,000036: 
063032,000037: 21,2654           37752        GTS                CAF      NEGONE                                #  MAKE THE NEXT PASS THROUGH THE DAP BE
063033,000038: 21,2655           55630                           TS       COTROLER                              #    THROUGH RCS CONTROL,
063034,000039: 21,2656           34751                           CAF      FOUR                                  #    AND ENSURE THAT IT IS NOT A SKIP.
063035,000040: 21,2657           55534                           TS       SKIPU                                 
063036,000041: 21,2660           55535                           TS       SKIPV                                 
063037,000042: 
063038,000043: 21,2661           34752                           CAF      TWO                                   
063039,000044: 21,2662           55632                           TS       INGTS                                 #  SET INDICATOR OF GTS CONTROL POSITIVE.
063040,000045: 21,2663           55631                           TS       QGIMTIMR                              #  SET TIMERS TO 200 MSEC TO AVOID BOTH
063041,000046: 21,2664           55633                           TS       RGIMTIMR                              #  RUNAWAY AND INTERFERENCE BY NULLING.
063042,000047: 
063043,000048:                                                                                                  #  THE DRIVE SETTING ALGORITHM
063044,000049: 
063045,000050:                                                                                                  #  DEL = SGN(OMEGA + ALPHA*ABS(ALPHA)/(2*K))
063046,000051: 
063047,000052:                                                                                                  #                                              2               1/2                  2       3/2
063048,000053:                                                                                                  #  NEGUSUM = ERROR*K + ALPHA*(DEL*OMEGA + ALPHA /(3*K)) + DEL*K   (DEL*OMEGA + ALPHA /(2*K))
063049,000054: 
063050,000055:                                                                                                  #  DRIVE = -SGN(NEGUSUM)
063051,000056: 
063052,000057: 21,2665           30021                           CA       SR                                    #  SAVE THE SR.  SHIFT IT LEFT TO CORRECT
063053,000058: 21,2666           60000                           AD       A                                     #  FOR THE RIGHT SHIFT DUE TO EDITING.
063054,000059: 21,2667           55505                           TS       SAVESR                                
063055,000060: 
063056,000061: 21,2670           34752        GTSGO+DN           CAF      TWO                                   #  SET INDEXER FOR R-AXIS CALCULATIONS.
063057,000062: 21,2671           12673                           TCF      GOQTRIMG   +1                         
063058,000063: 
063059,000064: 21,2672           34755        GOQTRIMG           CAF      ZERO                                  #  SET INDEXER FOR Q-AXIS CALCULATIONS
063060,000065: 21,2673           55747                           TS       QRCNTR                                
063061,000066: 
063062,000067: 21,2674           51747                           INDEX    QRCNTR                                #  AOS SCALED AT PI/2
063063,000068: 21,2675           31536                           CA       AOSQ                                  
063064,000069: 21,2676           00006                           EXTEND                                         
063065,000070: 21,2677           74752                           MP       BIT2                                  #  RESCALE AOS TO PI/4
063066,000071: 

Page 1461

063068,000073: 21,2700           00006                           EXTEND                                         
063069,000074: 21,2701           12705                           BZF      GTSQAXIS   -3                         #  USE FULL SCALE FOR LARGER AOS ESTIMATES.
063070,000075: 
063071,000076: 21,2702           50000                           INDEX    A                                     
063072,000077: 21,2703           44734                           CS       LIMITS                                #  LIMITS +1 CONTAINS NEGMAX.
063073,000078: 21,2704           56001                           XCH      L                                     #  LIMITS -1 CONTAINS POSMAX.
063074,000079: 
063075,000080: 21,2705           11747                           CCS      QRCNTR                                #  PICK UP RATE FOR THIS AXIS.  RATE CELLS
063076,000081: 21,2706           50000                           INDEX    A                                     #  ARE ADJACENT, NOT SEPARATED.  AT PI/4
063077,000082: 21,2707           31436                           CA       EDOTQ                                 
063078,000083: 21,2710           53743        GTSQAXIS           DXCH     WCENTRAL                              
063079,000084: 
063080,000085: 21,2711           51747                           INDEX    QRCNTR                                #  COLLECT K FOR THIS AXIS
063081,000086: 21,2712           31504                           CA       KQ                                    
063082,000087: 21,2713           55740                           TS       KCENTRAL                              
063083,000088: 
063084,000089: 21,2714           00006                           EXTEND                                         #  CONTROL AUTHORITY  ZERO.  AVOID DRIVING
063085,000090: 21,2715           13353                           BZF      POSDRIVE   +1                         #  ENGINE BELL TO THE STOPS.
063086,000091: 
063087,000092: 21,2716           51747                           INDEX    QRCNTR                                #  QDIFF, RDIFF ARE STORED IN D.P.
063088,000093: 21,2717           31450                           CAE      QDIFF                                 
063089,000094: 
063090,000095: 21,2720           00006        ALGORTHM           EXTEND                                         #  Q(R)DIFF IS THETA (ERROR) SCALED AT PI.
063091,000096: 21,2721           71740                           MP       KCENTRAL                              #  FORM K*ERROR AT PI(2)/2(8), IN D.P.
063092,000097: 21,2722           23736                           LXCH     K2THETA                               
063093,000098: 21,2723           00006                           EXTEND                                         
063094,000099: 21,2724           74747                           MP       BIT5                                  #  RESCALE TO 4*PI(2)
063095,000100: 21,2725           53737                           DXCH     K2THETA                               
063096,000101: 21,2726           00006                           EXTEND                                         
063097,000102: 21,2727           74747                           MP       BIT5                                  #  FIRST TERM OF NEGUSUM IN K2THETA.
063098,000103: 21,2730           27737                           ADS      K2THETA    +1                         #  NO CARRY NEEDED    D.P. AT 4*PI(2)
063099,000104: 
063100,000105: 21,2731           41743                           CS       ACENTRAL                              #  FORM ALPHA(2)/(2*K) AT 16*PI, IN D.P.,
063101,000106: 21,2732           00006                           EXTEND                                         #  LIMITING QUOTIENT TO AVOID OVERFLOW.
063102,000107: 21,2733           74736                           MP       BIT14                                 #  -ALPHA/2 IN A, SCALED AT PI/4
063103,000108: 21,2734           00006                           EXTEND                                         
063104,000109: 21,2735           71743                           MP       ACENTRAL                              #  -ALPHA(2)/2 IN A,L, SCALED AT PI(2)/16
063105,000110: 21,2736           61740                           AD       KCENTRAL                              
063106,000111: 21,2737           00006                           EXTEND                                         
063107,000112: 21,2740           62755                           BZMF     HUGEQUOT                              #  K-ALPHA(2)/2 SHOULD BE PNZ FO DIVISION
063108,000113: 
063109,000114: 21,2741           00006                           EXTEND                                         
063110,000115: 21,2742           40001                           DCS      A                                     #  ALPHA(2)/2 - K
063111,000116: 21,2743           61740                           AD       KCENTRAL                              
063112,000117: 21,2744           00006                           EXTEND                                         
063113,000118: 21,2745           11740                           DV       KCENTRAL                              #  HIGH ORDER OF QUOTIENT.
063114,000119: 21,2746           57745                           XCH      A2CNTRAL                              
063115,000120: 21,2747           30001                           CA       L                                     #  SHIFT UP THE REMAINDER.
063116,000121: 21,2750           22007                           LXCH     7                                     #  ZERO LOW-ORDER DIVIDEND.
063117,000122: 21,2751           00006                           EXTEND                                         

Page 1462

063119,000124: 21,2752           11740                           DV       KCENTRAL                              
063120,000125: 21,2753           57746                           XCH      A2CNTRAL   +1                         #  QUOTIENT STORED AT 16*PI, D.P.
063121,000126: 21,2754           12760                           TCF      HAVEQUOT                              
063122,000127: 
063123,000128: 21,2755           34733        HUGEQUOT           CA       POSMAX                                
063124,000129: 21,2756           54001                           TS       L                                     
063125,000130: 21,2757           53746                           DXCH     A2CNTRAL                              #  LIMITED QUOTIENT STORED AT 16*PI, D.P.
063126,000131: 
063127,000132: 21,2760           31742        HAVEQUOT           CA       WCENTRAL                              
063128,000133: 21,2761           00006                           EXTEND                                         
063129,000134: 21,2762           74743                           MP       BIT9                                  #  RESCALE OMEGA AT 16*PI IN D.P.
063130,000135: 21,2763           53742                           DXCH     K2CNTRAL                              #  LOWER WORD OVERLAYS OMEGA IN WCENTRAL
063131,000136: 
063132,000137: 21,2764           00006                           EXTEND                                         
063133,000138: 21,2765           31742                           DCA      K2CNTRAL                              
063134,000139: 21,2766           53751                           DXCH     FUNCTION                              
063135,000140: 
063136,000141: 21,2767           31743                           CA       ACENTRAL                              #  GET ALPHA*ABS(ALPHA)/(2*K)
063137,000142: 21,2770           00006                           EXTEND                                         
063138,000143: 21,2771           62775                           BZMF     +4                                    
063139,000144: 
063140,000145: 21,2772           00006                           EXTEND                                         
063141,000146: 21,2773           31746                           DCA      A2CNTRAL                              
063142,000147: 21,2774           12777                           TCF      +3                                    
063143,000148: 
063144,000149: 21,2775           00006                           EXTEND                                         
063145,000150: 21,2776           41746                           DCS      A2CNTRAL                              
063146,000151: 
063147,000152: 21,2777           21751                           DAS      FUNCTION                              #  OMEGA + ALPHA*ABS(ALPHA)/2*K) AT 16*PI
063148,000153: 
063149,000154: 21,3000           11750                           CCS      FUNCTION                              #  DEL = +1 FOR FUNCT1 GREATER THAN ZERO.
063150,000155: 21,3001           13005                           TCF      POSFNCT1                              #  OTHERWISE DEL = -1
063151,000156: 21,3002           13004                           TCF      +2                                    
063152,000157: 21,3003           13007                           TCF      NEGFNCT1                              
063153,000158: 
063154,000159: 21,3004           11751                           CCS      FUNCTION   +1                         #  USE LOW ORDER WORD SINCE HIGH IS ZERO
063155,000160: 21,3005           34753        POSFNCT1           CAF      BIT1                                  
063156,000161: 21,3006           13010                           TCF      +2                                    
063157,000162: 21,3007           44753        NEGFNCT1           CS       BIT1                                  
063158,000163: 21,3010           55744                           TS       DEL                                   
063159,000164: 
063160,000165: 21,3011           11744                           CCS      DEL                                   #  REPLACE OMEGA BY DEL*OMEGA
063161,000166: 21,3012           13024                           TCF      FUNCT2                                #  POSITIVE DEL VALUE.  PROCEED.
063162,000167: 21,3013           13015                           TCF      DEFUNCT                               
063163,000168: 21,3014           13021                           TCF      NEGFNCT2                              
063164,000169: 
063165,000170: 21,3015           55741        DEFUNCT            TS       K2CNTRAL                              
063166,000171: 21,3016           55742                           TS       K2CNTRAL   +1                         
063167,000172: 21,3017           13024                           TCF      FUNCT2                                
063168,000173: 

Page 1463

063170,000175: 21,3020           65252        NEG1/3             DEC      -.33333                               
063171,000176: 
063172,000177: 21,3021           00006        NEGFNCT2           EXTEND                                         
063173,000178: 21,3022           41742                           DCS      K2CNTRAL                              
063174,000179: 21,3023           53742                           DXCH     K2CNTRAL                              
063175,000180: 
063176,000181: 21,3024           00006        FUNCT2             EXTEND                                         
063177,000182: 21,3025           31746                           DCA      A2CNTRAL                              
063178,000183: 21,3026           21742                           DAS      K2CNTRAL                              #  DEL*OMEGA + ALPHA(2)/(2*K) AT 16*PI,D.P.
063179,000184: 
063180,000185: 21,3027           31745        FUNCT3             CA       A2CNTRAL                              
063181,000186: 21,3030           00006                           EXTEND                                         
063182,000187: 21,3031           73020                           MP       NEG1/3                                
063183,000188: 21,3032           53746                           DXCH     A2CNTRAL                              
063184,000189: 21,3033           30001                           CA       L                                     
063185,000190: 21,3034           00006                           EXTEND                                         
063186,000191: 21,3035           73020                           MP       NEG1/3                                
063187,000192: 21,3036           27746                           ADS      A2CNTRAL   +1                         
063188,000193: 21,3037           54001                           TS       L                                     
063189,000194: 21,3040           13042                           TCF      +2                                    #  A2CNTRAL NOW CONTAINS  -ALPHA(2)/(6*K),
063190,000195: 21,3041           27745                           ADS      A2CNTRAL                              #  SCALED AT 16*PI, IN D.P.
063191,000196: 
063192,000197: 21,3042           00006                           EXTEND                                         
063193,000198: 21,3043           31742                           DCA      K2CNTRAL                              #  DEL*OMEGA + ALPHA(2)/(3*K) IN A2CNTRAL,
063194,000199: 21,3044           21746                           DAS      A2CNTRAL                              #  SCALED AT 16*PI, D.P.
063195,000200: 
063196,000201: 21,3045           31745                           CA       A2CNTRAL                              
063197,000202: 21,3046           00006                           EXTEND                                         
063198,000203: 21,3047           71743                           MP       ACENTRAL                              
063199,000204: 21,3050           21737                           DAS      K2THETA                               
063200,000205: 21,3051           31746                           CA       A2CNTRAL   +1                         
063201,000206: 21,3052           00006                           EXTEND                                         
063202,000207: 21,3053           71743                           MP       ACENTRAL                              #  ACENTRAL MAY NOW BE OVERLAID.
063203,000208: 21,3054           27737                           ADS      K2THETA    +1                         
063204,000209: 21,3055           54001                           TS       L                                     
063205,000210: 21,3056           13060                           TCF      +2                                    #  TWO TERMS OF NEGUSUM ACCUMULATED, SO FAR
063206,000211: 21,3057           27736                           ADS      K2THETA                               #  SCALED AT 4*PI(2), IN D.P.
063207,000212: 
063208,000213: 21,3060           31741        GETROOT            CA       K2CNTRAL                              #  K*(DEL*OMEGA + ALPHA(2)/(2*K)) IS THE
063209,000214: 21,3061           00006                           EXTEND                                         #  TERM FOR WHICH A SQUARE ROOT IS NEEDED.
063210,000215: 21,3062           71740                           MP       KCENTRAL                              #  K AT PI/2(8)
063211,000216: 21,3063           53751                           DXCH     FUNCTION                              
063212,000217: 21,3064           31742                           CA       K2CNTRAL   +1                         
063213,000218: 21,3065           00006                           EXTEND                                         
063214,000219: 21,3066           71740                           MP       KCENTRAL                              
063215,000220: 21,3067           27751                           ADS      FUNCTION   +1                         
063216,000221: 21,3070           54001                           TS       L                                     
063217,000222: 21,3071           13073                           TCF      +2                                    
063218,000223: 21,3072           27750                           ADS      FUNCTION                              #  DESIRED TERM IN FUNCTION, AT PI(2)/16

Page 1464

063220,000225: 21,3073           11744                           CCS      DEL                                   
063221,000226: 21,3074           13301                           TCF      RSTOFGTS                              
063222,000227: 21,3075           13343                           TCF      NEGUSUM                               
063223,000228: 21,3076           13100                           TCF      NEGATE                                
063224,000229: 21,3077           13343                           TCF      NEGUSUM                               
063225,000230: 
063226,000231: 21,3100           00006        NEGATE             EXTEND                                         
063227,000232: 21,3101           41742                           DCS      K2CNTRAL                              
063228,000233: 21,3102           53742                           DXCH     K2CNTRAL                              
063229,000234: 21,3103           13301                           TCF      RSTOFGTS                              
063230,000235: 
063231,000236: 16,3740                                           BANK     16                                    
063232,000237: 16,3740  E6,1501                                  EBANK=   NEGUQ                                 
063233,000238: 16,2000                                           SETLOC   DAPS1                                 
063234,000239: 16,2000                                           BANK                                           
063235,000240: 
063236,000241:                                                                                                  #  THE WRCHN12 SUBROUTINE SETS BITS 9,10,11,12 OF CHANNEL 12 ON THE BASIS OF THE CONTENTS OF NEGUQ,NEGUR WHICH ARE
063237,000242:                                                                                                  #  THE NEGATIVES OF THE DESIRED ACCELERATION CHANGES.  ACDT+C12 SETS Q(R)ACCDOT TO REFLECT THE NEW DRIVES.
063238,000243: 
063239,000244:                                                                                                  #  WARNING:  ACDT+C12 AND WRCHN12 MUST BE CALLED WITH INTERRUPT INHIBITED.
063240,000245: 
063241,000246: 16,3740           07400        BGIM               OCTAL    07400                                 
063242,000247: 16,3741     0066               CHNL12             EQUALS   ITEMP6                                
063243,000248: 16,3741           41501        ACDT+C12           CS       NEGUQ                                 
063244,000249: 16,3742           00006                           EXTEND                                         #  GIMBAL DRIVE REQUESTS.
063245,000250: 16,3743           71507                           MP       ACCDOTQ                               
063246,000251: 16,3744           23510                           LXCH     QACCDOT                               
063247,000252: 16,3745           41503                           CS       NEGUR                                 
063248,000253: 16,3746           00006                           EXTEND                                         
063249,000254: 16,3747           71511                           MP       ACCDOTR                               
063250,000255: 16,3750           23512                           LXCH     RACCDOT                               
063251,000256: 
063252,000257: 16,3751           11501                           CCS      NEGUQ                                 
063253,000258: 16,3752           34742                           CAF      BIT10                                 
063254,000259: 16,3753           13755                           TCF      +2                                    
063255,000260: 16,3754           34743                           CAF      BIT9                                  
063256,000261: 16,3755           54066                           TS       CHNL12                                
063257,000262: 
063258,000263: 16,3756           11503                           CCS      NEGUR                                 
063259,000264: 16,3757           34740                           CAF      BIT12                                 
063260,000265: 16,3760           13762                           TCF      +2                                    
063261,000266: 16,3761           34741                           CAF      BIT11                                 
063262,000267: 16,3762           26066                           ADS      CHNL12                                #  (STORED RESULT NOT USED AT PRESENT)
063263,000268: 
063264,000269: 16,3763           43740                           CS       BGIM                                  
063265,000270: 16,3764           00006                           EXTEND                                         
063266,000271: 16,3765           02012                           RAND     CHAN12                                
063267,000272: 16,3766           60066                           AD       CHNL12                                
063268,000273: 16,3767           00006                           EXTEND                                         
063269,000274: 16,3770           01012                           WRITE    CHAN12                                
063270,000275: 

Page 1465

063272,000277: 16,3771           44747                           CS       CALLGMBL                              #  TURN OFF REQUEST FOR ACDT+C12 EXECUTION.
063273,000278: 16,3772           71262                           MASK     RCSFLAGS                              
063274,000279: 16,3773           55262                           TS       RCSFLAGS                              
063275,000280: 
063276,000281: 16,3774           00002                           TC       Q                                     #  RETURN TO CALLER.
063277,000282: 
063278,000283: 21,3104                                           BANK     21                                    
063279,000284: 21,3104  E6,1450                                  EBANK=   QDIFF                                 
063280,000285: 21,2000                                           SETLOC   DAPS4                                 
063281,000286: 21,2000                                           BANK                                           
063282,000287: 

Page 1466

063284,000289:                                                                                                  #  SUBROUTINE TIMEGMBL:  MOD 0,  OCTOBER 1967, CRAIG WORK
063285,000290: 
063286,000291:                                                                                                  #  TIMEGMBL COMPUTES THE DRIVE TIME NEEDED FOR THE TRIM GIMBAL TO POSITION THE DESCENT ENGINE NOZZLE SO AS TO NULL
063287,000292:                                                                                                  #  THE OFFSET ANGULAR ACCELERATION ABOUT THE Q (OR R) AXIS.  INSTEAD OF USING AOSQ(R), TIMEGMBL USES .4*AOSQ(R),
063288,000293:                                                                                                  #  SCALED AT PI/8.                         FOR EACH AXIS, THE DRIVE TIME IS COMPUTED AS ABS(ALPHA/ACCDOT).  A ZERO
063289,000294:                                                                                                  #  ALPHA OR ACCDOT OR A ZERO QUOTIENT TURNS OFF THE GIMBAL DRIVE IMMEDIATELY.  OTHERWISE, THE GIMBAL IS TURNED ON
063290,000295:                                                                                                  #  DRIVING IN THE CORRECT DIRECTION. THE Q(R)GIMTIMR IS SET TO TERMINATE THE DRIVE AND Q(R)ACCDOT
063291,000296:                                                                                                  #  IS STORED TO REFLECT THE NEW ACCELERATION DERIVATIVE.  NEGUQ(R) WILL CONTAIN +1,+0,-1 FOR A Q(R)ACCDOT VALUE
063292,000297:                                                                                                  #  WHICH IS NEGATIVE, ZERO, OR POSITIVE.
063293,000298: 
063294,000299:                                                                                                  #  INPUTS:  AOSQ,AOSR, SCALED AT P1/2, AND ACCDOTQ, ACCDOTR AT PI/2(7).    PI/2(7).
063295,000300: 
063296,000301:                                                                                                  #  OUTPUTS:   NEW GIMBAL DRIVE BITS IN CHANNEL 12,NEGUQ,NEGUR,QACCDOT AND RACCDOT, THE LAST SCALED AT PI/2(7).
063297,000302:                                                                                                  #             Q(R)GIMTIMR WILL BE SET TO TIME AND TERMINATE GIMBAL DRIVE(S)
063298,000303: 
063299,000304:                                                                                                  #  DEBRIS:  A,L,Q, ITEMPS 2,3,6, RUPTREG2 AND ACDT+C12 DEBRIS.
063300,000305: 
063301,000306:                                                                                                  #  EXITS:  VIA TC Q.
063302,000307: 
063303,000308:                                                                                                  #  ALARMS, ABORTS, :  NONE
063304,000309: 
063305,000310:                                                                                                  #  SUBROUTINES:  ACDT+C12, IBNKCALL
063306,000311: 
063307,000312:                                                                                                  #  WARNING:  THIS SUBROUTINE WRITES INTO CHANNEL 12 AND USES THE ITEMPS.  THEREFORE IT MAY ONLY BE CALLED WITH
063308,000313:                                                                                                  #  INTERRUPT INHIBITED.
063309,000314: 
063310,000315:                                                                                                  #  ERASABLE STORAGE CONFIGURATION (NEEDED BY THE INDEXING METHODS):
063311,000316: 
063312,000317:                                                                                                  #                                          NEGUQ    ERASE    +2            NEGATIVE OF Q-AXIS GIMBAL DRIVE
063313,000318:                                                                                                  #                                          (SPWORD) EQUALS  NEGUQ +1       ANY S.P. ERASABLE NUMBER, NOW THRSTCMD
063314,000319:                                                                                                  #                                          NEGUR    EQUALS  NEGUQ +2       NEGATIVE OF R-AXIS GIMBAL DRIVE
063315,000320: 
063316,000321:                                                                                                  #                                          ACCDOTQ  ERASE    +2            Q-JERK TERM SCALED AT PI/2(7) RAD/SEC(3)
063317,000322:                                                                                                  #                                          (SPWORD) EQUALS  ACCDOTQ +1     ANY S.P. ERASABLE NUMBER  NOW QACCDOT
063318,000323:                                                                                                  #                                          ACCDOTR  EQUALS  ACCDOTQ +2     R-JERK TERM SCALED AT PI/2(7) RAD/SEC(3)
063319,000324:                                                                                                  #                                                                          ACCDOTQ,ACCDOTR ARE MAGNITUDES.
063320,000325:                                                                                                  #                                          AOSQ     ERASE   +4             Q-AXIS ACC.,D.P. AT PI/2 R/SEC(2)
063321,000326:                                                                                                  #                                          AOSR     EQUALS  AOSQ +2        R-AXIS ACCELERATION SCALED AT PI/2 R/S2
063322,000327: 
063323,000328: 21,3104     0066               QRNDXER            EQUALS   ITEMP6                                
063324,000329: 21,3104           23146        OCT23146           OCTAL    23146                                 #  DECIMAL .6
063325,000330: 21,3105     0063               NZACCDOT           EQUALS   ITEMP3                                
063326,000331: 
063327,000332: 21,3105           34753        TIMEGMBL           CAF      ONE                                   #  INITIALIZE ALLOWGTS.
063328,000333: 21,3106           55502                           TS       ALLOWGTS                              
063329,000334: 
063330,000335: 21,3107           34752                           CAF      TWO                                   #  SET UP LOOP FOR R AXIS.
063331,000336: 21,3110           22002                           LXCH     Q                                     #  SAVE RETURN ADDRESS.
063332,000337: 21,3111           22071                           LXCH     RUPTREG2                              

Page 1467

063334,000339: 21,3112           13114                           TCF      +2                                    
063335,000340: 21,3113           34755        TIMQGMBL           CAF      ZERO                                  #  NOW DO THE Q-AXIS
063336,000341: 21,3114           54066                           TS       QRNDXER                               
063337,000342: 21,3115           50066                           INDEX    QRNDXER                               
063338,000343: 21,3116           31507                           CA       ACCDOTQ                               #  ACCDOT IS PRESUMED TO BE AT PI/2(7).
063339,000344: 21,3117           00006                           EXTEND                                         
063340,000345: 21,3120           63170                           BZMF     TGOFFNOW                              #  IS ACCDOT LESS THAN OR EQUAL TO 0?
063341,000346: 21,3121           54063                           TS       NZACCDOT                              #  NO.  STORE NON-ZERO, POSITIVE ACCDOT.
063342,000347: 
063343,000348: 21,3122           50066        ALPHATRY           INDEX    QRNDXER                               
063344,000349: 21,3123           41536                           CS       AOSQ                                  
063345,000350: 21,3124           00006                           EXTEND                                         
063346,000351: 21,3125           13170                           BZF      TGOFFNOW                              #  IS ALPHA ZERO?
063347,000352: 
063348,000353: 21,3126           54002                           TS       Q                                     #  SAVE A COPY OF  -AOS.
063349,000354: 21,3127           00006                           EXTEND                                         #  NO.  RESCALE FOR TIMEGMBL USE.
063350,000355: 21,3130           73104                           MP       OCT23146                              #  OCTAL 23146 IS DECIMAL .6
063351,000356: 21,3131           60002                           AD       Q                                     #  -1.6*AOS AT PI/2 = -.4*AOS AT PI/8.
063352,000357: 21,3132           54001                           TS       L                                     #  WAS THERE OVERFLOW?
063353,000358: 21,3133           13140                           TCF      SETNEGU                               #  NO.  COMPUTE DRIVE TIME.
063354,000359: 
063355,000360: 21,3134           40000                           CS       A                                     #  RECOVER  -SGN(AOS) IN THE A REGISTER.
063356,000361: 21,3135           50066                           INDEX    QRNDXER                               #  YES.  START DRIVE WITHOUT WAITLIST.
063357,000362: 21,3136           57501                           XCH      NEGUQ                                 
063358,000363: 21,3137           13174                           TCF      NOTALLOW                              #  KNOCK DOWN THE ALLOWGTS FLAG.
063359,000364: 
063360,000365: 21,3140           00006        SETNEGU            EXTEND                                         
063361,000366: 21,3141           63146                           BZMF     POSALPH                               
063362,000367: 
063363,000368: 21,3142           40000                           COM                                            
063364,000369: 21,3143           54062                           TS       ITEMP2                                #  STORE  -ABS(.4*AOS) SCALED AT PI/8.
063365,000370: 21,3144           44753                           CS       BIT1                                  
063366,000371: 21,3145           13150                           TCF      POSALPH    +2                         
063367,000372: 21,3146           54062        POSALPH            TS       ITEMP2                                #  STORE  -ABS(.4*AOS) SCALED AT PI/8.
063368,000373: 21,3147           34753                           CA       BIT1                                  
063369,000374: 21,3150           50066                 +2        INDEX    QRNDXER                               #  SGN(AOS) INTO NEGU
063370,000375: 21,3151           55501                           TS       NEGUQ                                 #  STORE SGN(APLHA) AS NEGU
063371,000376: 
063372,000377: 21,3152           30063                           CA       NZACCDOT                              
063373,000378: 21,3153           00006                           EXTEND                                         
063374,000379: 21,3154           74740                           MP       BIT12                                 #  2*ACCDOT, SCALED AT PI/8.
063375,000380: 21,3155           60062                           AD       ITEMP2                                #  -ABS(ALPHA) + 2*ACCDOT, AT PI/8.
063376,000381: 21,3156           00006                           EXTEND                                         
063377,000382: 21,3157           63174                           BZMF     NOTALLOW                              #  IS DRIVE TIME MORE THAN TWO SECONDS?
063378,000383: 21,3160           40062                           CS       ITEMP2                                #  NO.  COMPUTE DRIVE TIME.
063379,000384: 21,3161           00006                           EXTEND                                         #  ABS(ALPHA) AT PI/8.
063380,000385: 21,3162           73215                           MP       OCT00240                              #  DECIMAL 10/1024
063381,000386: 21,3163           00006                           EXTEND                                         #  QUOTIENT IS DRIVE TIME AT WAITLIST.
063382,000387: 21,3164           10063                           DV       NZACCDOT                              #  ABS(ALPHA)/ACCDOT AT 2(14)/100
063383,000388: 

Page 1468

063385,000390: 21,3165           00006                           EXTEND                                         
063386,000391: 21,3166           13170                           BZF      TGOFFNOW                              #  DRIVE TIME MUST BE GREATER THAN ZERO.
063387,000392: 
063388,000393: 21,3167           13202                           TCF      DRIVEON                               
063389,000394: 
063390,000395: 21,3170           34755        TGOFFNOW           CAF      ZERO                                  #  TURN OFF GIMBAL NOW.
063391,000396: 21,3171           50066                           INDEX    QRNDXER                               
063392,000397: 21,3172           55501                           TS       NEGUQ                                 
063393,000398: 
063394,000399: 21,3173           13204                           TCF      DONEYET                               
063395,000400: 
063396,000401: 21,3174           36010        NOTALLOW           CAF      OCT31                                 
063397,000402: 21,3175           50066                           INDEX    QRNDXER                               
063398,000403: 21,3176           55631                           TS       QGIMTIMR                              
063399,000404: 21,3177           34755                           CAF      ZERO                                  #  DRIVE TIME IS MORE THAN 2 SECONDS, SO
063400,000405: 21,3200           55502                           TS       ALLOWGTS                              #  DO NOT PERMIT FURTHER GTS ATTITUDE-RATE
063401,000406:                                                                                                  #  CONTROL UNTIL AOSTASK APPROVES.
063402,000407: 21,3201           13204                           TCF      DONEYET                               #  NO WAITLIST CALL IS MADE.
063403,000408: 
063404,000409: 21,3202           50066        DRIVEON            INDEX    QRNDXER                               
063405,000410: 21,3203           55631                           TS       QGIMTIMR                              #  CHOOSE Q OR R AXIS.
063406,000411: 
063407,000412: 21,3204           10066        DONEYET            CCS      QRNDXER                               
063408,000413: 21,3205           13113                           TCF      TIMQGMBL                              
063409,000414: 
063410,000415: 21,3206           52073                           DXCH     RUPTREG3                              #  PROTECT IBNKCALL ERASABLES.  ACDT+C12
063411,000416: 21,3207           52063                           DXCH     ITEMP2                                #  LEAVES ITEMPS2,3 ALONE.
063412,000417: 
063413,000418: 21,3210           04674                           TC       IBNKCALL                              #  TURN OF CHANNEL BITS, SET Q(R)ACCDOTS.
063414,000419: 21,3211           35741                           CADR     ACDT+C12                              
063415,000420: 
063416,000421: 21,3212           52063                           DXCH     ITEMP2                                #  RESTORE ERASABLES FOR IBNKCALL.
063417,000422: 21,3213           52073                           DXCH     RUPTREG3                              
063418,000423: 
063419,000424: 21,3214           00071                           TC       RUPTREG2                              #  RETURN TO CALLER.
063420,000425: 
063421,000426: 21,3215           00240        OCT00240           OCTAL    00240                                 #  DECIMAL 10/1024
063422,000427: 

Page 1469

063424,000429:                                                                                                  #  THE FOLLOWING SECTION IS A CONTINUATION OF THE TRIM GIMBAL CONTROL FROM THE LAST GTS ENTRY. THE QUANTITY NEGUSUM
063425,000430:                                                                                                  #  IS COMPUTED FOR EACH AXIS (Q,R), .707*DEL*FUNCTION(3/2) + K2THETA = NEGUSUM.  NEW DRIVES ARE ENTERED TO CH 12.
063426,000431: 
063427,000432:                                                                                                  #  THE SUBROUTINE GTSQRT ACCEPTS A DOUBLE PRECISION VALUE IN FUNCTION, FUNCTION +1 AND RETURNS A SINGLE-PRECISION
063428,000433:                                                                                                  #  SQUARE ROOT OF THE FOURTEEN MOST SIGNIFICANT BITS OF THE ARGUMENT.  ALSO, THE CELL SHFTFLAG CONTAINS A BINARY
063429,000434:                                                                                                  #  EXPONENT S, SUCH THAT THE SQUARE ROOT (RETURNED IN THE A REGISTER) MUST BE SHIFTED RIGHT (MULTIPLIED BY 2 TO THE
063430,000435:                                                                                                  #  POWER (-S)) IN ORDER TO BE THE TRUE SQUARE ROOT OF THE FOURTEEN MOST SIGNIFICANT BITS OF FUNCTION, FUNCTION +1.
063431,000436:                                                                                                  #  SQUARE ROOT ERROR IS NOT MORE THAN 2 IN THE 14TH SIGNIFICANT BIT.  CELLS CLOBBERED ARE A,L,SHFTFLAG,ININDEX,
063432,000437:                                                                                                  #  HALFARG,SCRATCH,SR,FUNCTION, FUNCTION +1.  GTSQRT IS CALLED BY TC GTSQRT AND RETURNS VIA TC Q OR TC FUNCTION +1.
063433,000438:                                                                                                  #  ZERO OR NEGATIVE ARGUMENTS YIELD ZERO FOR SQUARE ROOTS.
063434,000439: 
063435,000440: 21,3216           11750        GTSQRT             CCS      FUNCTION                              
063436,000441: 21,3217           13235                           TCF      GOODARG                               #  FUNCTION IS POSITIVE.  TAKE SQUARE ROOT.
063437,000442: 21,3220           13222                           TCF      +2                                    #  HIGH ORDER WORD IS ZERO.  TRY THE LOWER.
063438,000443: 21,3221           13226                           TCF      ZEROOT                                #  NEGATIVE.  USE ZERO FOR 1/2 POWER.
063439,000444: 
063440,000445: 21,3222           31751                           CA       FUNCTION   +1                         
063441,000446: 21,3223           00006                           EXTEND                                         
063442,000447: 21,3224           63226                           BZMF     ZEROOT                                
063443,000448: 
063444,000449: 21,3225           13231                           TCF      ZEROHIGH                              #  PROCEED.
063445,000450: 21,3226           34755        ZEROOT             CA       ZERO                                  
063446,000451: 21,3227           55740                           TS       SHFTFLAG                              
063447,000452: 21,3230           00002                           TC       Q                                     
063448,000453: 
063449,000454: 21,3231           57750        ZEROHIGH           XCH      FUNCTION                              #  14 MOST SIGNIFICANT BITS ARE IN THE
063450,000455: 21,3232           57751                           XCH      FUNCTION   +1                         #  LOWER WORD.  EXCHANGE THEM.
063451,000456: 21,3233           34757                           CA       SEVEN                                 
063452,000457: 21,3234           13236                           TCF      GOODARG    +1                         
063453,000458: 
063454,000459: 21,3235           34755        GOODARG            CA       ZERO                                  
063455,000460: 21,3236           55740                           TS       SHFTFLAG                              
063456,000461: 21,3237           35752                           CA       TWELVE                                #  INITIALIZE THE SCALING LOOP.
063457,000462: 21,3240           55743                           TS       ININDEX                               
063458,000463: 21,3241           13250                           TCF      SCALLOOP                              
063459,000464: 
063460,000465: 21,3242           31750        SCALSTRT           CA       FUNCTION                              
063461,000466: 21,3243           13264                           TCF      SCALDONE                              
063462,000467: 
063463,000468: 21,3244           37751        MULBUSH            CA       NEG2                                  #  IF ARG IS NOT LESS THAN 1/4, INDEX IS
063464,000469: 21,3245           27743                           ADS      ININDEX                               #  ZERO, INDICATING NO SHIFT NEEDED.
063465,000470: 21,3246           00006                           EXTEND                                         #  BRANCH IF ARG IS NOT LESS THAN 1/4.
063466,000471: 21,3247           63242                           BZMF     SCALSTRT                              #  OTHERWISE COMPARE ARG WITH A REFERENCE
063467,000472:                                                                                                  #  WHICH IS 4 TIMES LARGER THAN THE LAST.
063468,000473: 21,3250           41750        SCALLOOP           CS       FUNCTION                              
063469,000474: 21,3251           51743                           INDEX    ININDEX                               
063470,000475: 21,3252           64735                           AD       BIT15                                 #  REFERENCE MAGNITUDE LESS OR EQUAL TO 1/4
063471,000476: 21,3253           00006                           EXTEND                                         
063472,000477: 21,3254           63244                           BZMF     MULBUSH                               #  IF ARG IS NOT LESS THAN REFERENCE, GO
063473,000478:                                                                                                  #  AROUND THE MULBERRY BUSH ONCE MORE.
063474,000479: 

Page 1470

063476,000481: 21,3255           51743                           INDEX    ININDEX                               
063477,000482: 21,3256           34735                           CA       BIT15                                 #  THIS IS THE SCALE MAGNITUDE
063478,000483: 21,3257           57746                           XCH      HALFARG                               #  2**(-ININDEX) IS THE SHIFT DIVISOR.
063479,000484: 21,3260           00006                           EXTEND                                         #  RESCALE ARGUMENT.
063480,000485: 21,3261           31751                           DCA      FUNCTION                              
063481,000486: 21,3262           00006                           EXTEND                                         
063482,000487: 21,3263           11746                           DV       HALFARG                               
063483,000488:                                                                                                  #  ININDEX AND SHFTFLAG PRESERVE INFO FOR
063484,000489: 
063485,000490:                                                                                                  #  RESCALING AFTER ROOT PROCESS.
063486,000491: 21,3264           00006        SCALDONE           EXTEND                                         
063487,000492: 21,3265           23751                           QXCH     FUNCTION   +1                         #  SAVE Q FOR RETURN
063488,000493: 21,3266           00006                           EXTEND                                         
063489,000494: 21,3267           74736                           MP       BIT14                                 
063490,000495: 21,3270           55746                           TS       HALFARG                               
063491,000496: 21,3271           74737                           MASK     BIT13                                 
063492,000497: 21,3272           10000                           CCS      A                                     
063493,000498: 21,3273           33411                           CA       OCT11276                              
063494,000499: 21,3274           63407                           AD       ROOTHALF                              #  INITIAL GUESS IS ROOT 1/2 OR POSMAX
063495,000500: 
063496,000501: 21,3275           03413                           TC       ROOTCYCL                              
063497,000502: 21,3276           03413                           TC       ROOTCYCL                              
063498,000503: 21,3277           03413                           TC       ROOTCYCL                              
063499,000504: 
063500,000505: 21,3300           01751                           TC       FUNCTION   +1                         
063501,000506: 
063502,000507:                                                                                                  #  ****************************************************************************************************************
063503,000508: 
063504,000509: 
063505,000510: 21,3301           03216        RSTOFGTS           TC       GTSQRT                                
063506,000511: 21,3302           57741        PRODUCT            XCH      K2CNTRAL                              
063507,000512: 21,3303           00006                           EXTEND                                         
063508,000513: 21,3304           71741                           MP       K2CNTRAL                              
063509,000514: 21,3305           53742                           DXCH     K2CNTRAL                              
063510,000515: 21,3306           00006                           EXTEND                                         #              THE PRODUCT OF
063511,000516: 21,3307           70001                           MP       L                                     #   1/2                   2       1/2
063512,000517: 21,3310           27742                           ADS      K2CNTRAL   +1                         #  K   *(DEL*OMEGA + ALPHA /(2*K))
063513,000518: 21,3311           54001                           TS       L                                     #                  AND
063514,000519: 21,3312           13314                           TCF      +2                                    #                         2
063515,000520: 21,3313           27741                           ADS      K2CNTRAL                              #   DEL*(DEL*OMEGA + ALPHA /(2*K)) NOW IN
063516,000521:                                                                                                  #  K2CNTRAL
063517,000522: 
063518,000523: 21,3314           31743        DOSHIFT            CA       ININDEX                               
063519,000524: 21,3315           00006                           EXTEND                                         #  MULTIPLY IN THE FACTOR 2(-S), RETURNED
063520,000525: 21,3316           74736                           MP       BIT14                                 #  BY THE GTSQRT SUBROUTINE
063521,000526: 21,3317           27740                           ADS      SHFTFLAG                              
063522,000527: 21,3320           00006                           EXTEND                                         
063523,000528: 21,3321           13340                           BZF      ADDITIN                               
063524,000529: 21,3322           51740                           INDEX    SHFTFLAG                              
063525,000530: 21,3323           34735                           CA       BIT15                                 

Page 1471

063527,000532: 21,3324           57741                           XCH      K2CNTRAL                              
063528,000533: 21,3325           00006                           EXTEND                                         
063529,000534: 21,3326           71741                           MP       K2CNTRAL                              
063530,000535: 21,3327           21737                           DAS      K2THETA                               
063531,000536: 21,3330           57741                           XCH      K2CNTRAL                              
063532,000537: 21,3331           00006                           EXTEND                                         
063533,000538: 21,3332           71742                           MP       K2CNTRAL   +1                         
063534,000539: 21,3333           27737                           ADS      K2THETA    +1                         
063535,000540: 21,3334           54001                           TS       L                                     
063536,000541: 21,3335           13337                           TCF      +2                                    
063537,000542: 21,3336           27736                           ADS      K2THETA                               
063538,000543: 
063539,000544: 21,3337           13343                           TCF      NEGUSUM                               
063540,000545: 
063541,000546: 21,3340           00006        ADDITIN            EXTEND                                         
063542,000547: 21,3341           31742                           DCA      K2CNTRAL                              
063543,000548: 21,3342           21737                           DAS      K2THETA                               #  NOW ADD IN THE K2THETA TERM.
063544,000549: 21,3343           11736        NEGUSUM            CCS      K2THETA                               #  TEST SIGN OF HIGH ORDER PART.
063545,000550: 21,3344           13350                           TCF      NEGDRIVE                              
063546,000551: 21,3345           13347                           TCF      +2                                    
063547,000552: 21,3346           13352                           TCF      POSDRIVE                              
063548,000553: 
063549,000554: 21,3347           11737                           CCS      K2THETA    +1                         #  SIGN TEST FOR LOW ORDER PART.
063550,000555: 21,3350           34753        NEGDRIVE           CA       BIT1                                  
063551,000556: 21,3351           13353                           TCF      +2                                    #  STOP GIMBAL DRIVE FOR A ZERO NEGUSUM.
063552,000557: 21,3352           44753        POSDRIVE           CS       BIT1                                  
063553,000558: 21,3353           54001                           TS       L                                     #  SAVE FOR DRIVE REVERSAL TEST.
063554,000559: 21,3354           51747                           INDEX    QRCNTR                                
063555,000560: 21,3355           57501                           XCH      NEGUQ                                 
063556,000561: 
063557,000562: 21,3356           00006                           EXTEND                                         
063558,000563: 21,3357           70001                           MP       L                                     #  MULTIPLY OLD NEGU AND NEW NEGU.
063559,000564: 21,3360           10001                           CCS      L                                     
063560,000565: 21,3361           13376                           TCF      LOUPE                                 #  NON-ZERO GIMBAL DRIVE BEING CONTINUED.
063561,000566: 
063562,000567: 21,3362           13373                           TCF      ZEROLOUP                              #  NO REVERSAL PROBLEM HERE.
063563,000568: 
063564,000569: 21,3363           13365                           TCF      REVERSAL                              #  NON-ZERO GIMBAL DRIVE BEING REVERSED.
063565,000570: 21,3364           13373                           TCF      ZEROLOUP                              #  NO REVERSAL PROBLEM HERE.
063566,000571: 
063567,000572: 21,3365           51747        REVERSAL           INDEX    QRCNTR                                #  A ZERO-DRIVE PAUSE IS NEEDED HERE.  ZERO
063568,000573: 21,3366           55510                           TS       QACCDOT                               #  IS IN A REGISTER FROM CCS ON (-1).
063569,000574: 21,3367           51747                           INDEX    QRCNTR                                
063570,000575: 21,3370           43410                           CS       GMBLBITA                              
063571,000576: 21,3371           00006                           EXTEND                                         
063572,000577: 21,3372           03012                           WAND     CHAN12                                
063573,000578: 
063574,000579: 21,3373           41262        ZEROLOUP           CS       RCSFLAGS                              #  SET UP REQUEST FOR ACDT+C12 CALL.
063575,000580: 21,3374           74747                           MASK     CALLGMBL                              
063576,000581: 21,3375           27262                           ADS      RCSFLAGS                              
063577,000582: 

Page 1472

063579,000584: 21,3376           11747        LOUPE              CCS      QRCNTR                                #  HAVE BOTH AXES BEEN PROCESSED?
063580,000585: 21,3377           12672                           TCF      GOQTRIMG                              #  NO.  DO Q AXIS NEXT.
063581,000586: 
063582,000587: 21,3400           31505                           CA       SAVESR                                #  RESTORE THE SR
063583,000588: 21,3401           54021                           TS       SR                                    
063584,000589: 
063585,000590: 21,3402           00006        GOCLOSE            EXTEND                                         #  TERMINATE THE JASK.
063586,000591: 21,3403           33406                           DCA      CLOSEADR                              
063587,000592: 21,3404           52006                           DTCB                                           
063588,000593: 
063589,000594: 21,3405  E6,1536                                  EBANK=   AOSQ                                  
063590,000595: 21,3405           03270 36106  CLOSEADR           2CADR    CLOSEOUT                              #  TERMINATE THE JASK.
063591,000596: 
063592,000597: 21,3407     5752               TWELVE             EQUALS   OCT14                                 
063593,000598: 21,3407           26501        ROOTHALF           OCTAL    26501                                 #  SQUARE ROOT OF 1/2
063594,000599: 21,3410           01400        GMBLBITA           OCTAL    01400                                 #  INDEXED WRT GMBLBITB   DO NOT MOVE******
063595,000600: 21,3411           11276        OCT11276           OCTAL    11276                                 #  POSMAX - ROOTHALF
063596,000601: 21,3412           06000        GMBLBITB           OCTAL    06000                                 #  INDEXED WRT GMBLBITA   DO NOT MOVE******
063597,000602: 
063598,000603:                                                                                                  #  SUBROUTINE ROOTCYCL:  BY CRAIG WORK,3 APRIL 68
063599,000604:                                                                                                  #  ROOTCYCL IS A SUBROUTINE WHICH EXECUTES ONE NEWTON SQUARE ROOT ALGORITHM ITERATION.  THE INITIAL GUESS AT THE
063600,000605:                                                                                                  #  SQUARE ROOT IS PRESUMED TO BE IN THE A REGISTER AND ONE-HALF THE SQUARE IS TAKEN FROM HALFARG.  THE NEW APPROXI-
063601,000606:                                                                                                  #  MATION TO THE SQUARE ROOT IS RETURNED IN THE A REGISTER.  DEBRIS:   A,L,SR,SCRATCH.  ROOTCYCL IS CALLED FROM
063602,000607:                                                                                                  #  LOCATION (LOC) BY A TC ROOTCYCL, AND RETURNS (TC Q) TO LOC +1.
063603,000608: 
063604,000609:                                                                                                  #  WARNING:  IF THE INITIAL GUESS IS NOT GREATER THAN THE SQUARE, DIVIDE OR ADD OVERFLOW IS A REAL POSSIBILITY.
063605,000610: 
063606,000611: 21,3413           55745        ROOTCYCL           TS       SCRATCH                               #  STORE X
063607,000612: 21,3414           54021                           TS       SR                                    #  X/2 NOW IN SR
063608,000613: 21,3415           31746                           CA       HALFARG                               #  ARG/2 IN THE A REG
063609,000614: 21,3416           22007                           ZL                                             #  PREPARE FOR DIVISION
063610,000615: 21,3417           00006                           EXTEND                                         
063611,000616: 21,3420           11745                           DV       SCRATCH                               #  (ARG/X)/2
063612,000617: 21,3421           60021                           AD       SR                                    #  (X + ARG/X)/2 IN THE A REG
063613,000618: 21,3422           00002                           TC       Q                                     

End of include-file TRIM_GIMBAL_CONTROL_SYSTEM.agc.  Parent file is MAIN.agc