Source Code
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These source-code files are part of a reconstructed copy of Skylark 048, the
Block II Command Module (CM) Apollo Guidance Computer (AGC) software for the
Skylab-2, Skylab-3, Skylab-4, and Apollo-Soyuz Test Project missions.
They have been created via disassembly of binary dumps of the original core rope
memory modules actually flown on Skylab-2, part numbers 2010802-541, 2010802-551,
2010802-561, 2010802-571, 2010802-581, and 2010802-591. Access to these modules
was provided by the New Mexico Museum of Space History, who we are much indebted to.
The source code for the Apollo 15, 16, and 17 software, Artemis 072, was used as
a starting point. Heavy use was made of TRW 4900.5-244, Programmed Guidance Equations
for Skylark Command Module Earth Orbital Program, dated 14 February 1972. This document
contains pseudocode of essentially all of Skylark, using original program labels which
have been copied for this source reconstruction.
Since only binary dumps (rather than listings) of Skylark are available as source material,
all comments and labels are approximate.
They have been taken from the Programmed Guidance Equations or other AGC programs where
possible, or, in some places, written from scratch to match what we believe would have
been in the original listing.
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045565,000002: ## Copyright: Public domain.
045566,000003: ## Filename: INTERPRETER.agc
045567,000004: ## Purpose: A section of Skylark revision 048.
045568,000005: ## It is part of the source code for the Apollo Guidance Computer (AGC)
045569,000006: ## for Skylab-2, Skylab-3, Skylab-4, and ASTP. No original listings of
045570,000007: ## this software are available; instead, this file was created via
045571,000008: ## disassembly of dumps of the core rope modules actually flown on
045572,000009: ## Skylab-2. Access to these modules was provided by the New Mexico
045573,000010: ## Museum of Space History.
045574,000011: ## Assembler: yaYUL
045575,000012: ## Contact: Ron Burkey <info@sandroid.org>.
045576,000013: ## Website: www.ibiblio.org/apollo/index.html
045577,000014: ## Mod history: 2023-09-04 MAS Created from Artemis 072.
045578,000015:
045579,000016:
045580,000017: # SECTION 1 DISPATCHER
045581,000018:
045582,000019: # ENTRY TO THE INTERPRETER. INTPRET SETS LOC TO THE FIRST INSTRUCTION, BANKSET TO THE BBANK OF THE
045583,000020: # OBJECT INTERPRETIVE PROGRAM, AND INTBIT15 TO THE BIT15 CONTENTS OF FBANK. INTERPRETIVE PROGRAMS MAY BE IN
045584,000021: # VIRTUALLY ALL BANKS PRESENT UNDER ANY SUPER-BANK SETTING, WITH THE RESTRICTION THAT PROGRAMS IN HIGH BANKS
045585,000022: # (BIT15 OF FBANK = 1) DO NOT REFER TO LOWBANKS, AND VICE-VERSA. THE INTERPRETER DOES NOT SWITCH SUPERBANKS.
045586,000023: # E-BANK SWITCHING OCCURS WHENEVER GENERAL ERASABLE (100-3777) IS ADDRESSED.
045587,000024:
045588,000025: 6000 SETLOC INTERF3
045589,000026: 6000 BANK
045590,000027:
045591,000028: 6006 COUNT* $$/INTER
045592,000029: 6006 00003 INTPRET RELINT
045593,000030: 6007 00006 EXTEND # SET LOC TO THE WORD FOLLOWING THE TC.
045594,000031: 6010 22164 +2 QXCH LOC
045595,000032:
045596,000033: 6011 30006 +3 CA BBANK # INTERPRETIVE BRANCHES FINISH HERE.
045597,000034: 6012 54165 TS BANKSET
045598,000035: 6013 74763 MASK BIT15 # GET 15TH BIT FOR INDEXABLE ADDRESSES.
045599,000036: 6014 54115 TS INTBIT15
045600,000037:
045601,000038: 6015 54023 TS EDOP # MAKE SURE NO INSTRUCTIONS LEFT OVER
045602,000039:
045603,000040: 6016 16037 TCF NEWOPS # PICK UP OP CODE PAIR AND BEGIN.
045604,000041:
045605,000042: 6017 22006 INTRSM LXCH BBANK # RESUME SUSPENDED INTERPRETIVE JOB
045606,000043: 6020 16011 TCF INTPRET +3
045607,000044:
045608,000045: # DLOAD LOADS MPAC, MPAC +1, LEAVING ZERO IN MPAC +2.
045609,000046:
045610,000047: 6021 00006 DLOAD EXTEND
045611,000048: 6022 50116 INDEX ADDRWD
045612,000049: 6023 30001 DCA 0 # LOAD DP C(C(ADDRWD)) INTO MPAC,MPAX +1
045613,000050: 6024 52155 SLOAD2 DXCH MPAC
045614,000051: 6025 35003 CAF ZERO # ZERO MPAC +2
045615,000052:
045616,000053: # AT THE END OF MOST INSTRUCTIONS, CONTROL IS GIVEN TO DANZIG TO DISPATCH THE NEXT OPERATION.
045617,000054:
045618,000055: 6026 54156 +2 TS MPAC +2 # AND DECLARE DP MODE
045619,000056: 6027 54163 NEWMODE TS MODE # PROLOGUE FOR MODE-CHANGING INSTRUCTIONS.
045620,000057:
045621,000058: 6030 30165 DANZIG CA BANKSET # SET BBANK BEFORE TESTING NEWJOB SO THAT
045622,000059: 6031 54006 TS BBANK # IT MAY BE SAVED DIRECTLY BY CHANJOB.
045623,000060:
045624,000061: 6032 10023 NOIBNKSW CCS EDOP # SEE IF AN ORDER CODE IS LEFT OVER FROM
045625,000062: 6033 16046 TCF OPJUMP # THE LAST PAIR RETRIEVED. IF SO, EXECUTE.
045626,000063: # EDOP IS SET TO ZERO ON ITS RE-EDITING.
045627,000064:
045628,000065: 6034 10067 CCS NEWJOB # SEE IF A JOB OF HIGHER PRIORITY IS
045629,000066: 6035 15171 TCF CHANG2 # PRESENT, AND IF SO, CHANGE JOBS.
045630,000067:
045631,000068: 6036 24164 INCR LOC # ADVANCE THE LOCATION COUNTER.
045632,000069: # ITRACE (1) REFERS TO "NEWOPS".
045633,000070: 6037 50164 NEWOPS INDEX LOC # ENTRY TO BEGIN BY PICKING OP CODE PAIR.
045634,000071: 6040 30000 CA 0 # MAY BE AN OPCODE PAIR OR A STORE CODE.
045635,000072: 6041 10000 CCS A # TEST SIGN AND GET DABS(A).
045636,000073: 6042 16331 TCF DOSTORE # PROCESS STORE CODE.
045637,000074:
045638,000075: 6043 00177 LOW7 OCT 177
045639,000076:
045640,000077: 6044 54023 TS EDOP # OP CODE PAIR. LEAVE THE OTHER IN EDOP
045641,000078: 6045 76043 MASK LOW7 # WHERE CCS EDOP WILL HONOR IT NEXT.
045642,000079:
045643,000080: 6046 54020 OPJUMP TS CYR # LOWWD ENTERS HERE IF A RIGHT-HAND OP
045644,000081: 6047 10020 CCS CYR # CODE IS TO BE PROCESSED. TEST PREFICES.
045645,000082: 6050 16216 TCF OPJUMP2 # TEST SECOND PREFIX BIT.
045646,000083:
045647,000084: 6051 16712 TCF EXIT # +0 OP CODE IS EXIT.
045648,000085: # PROCESS ADDRESSES WHICH MAY BE DIRECT, INDEXED, OR REFERENCE THE PUSHDOWN LIST.
045649,000086:
045650,000087: 6052 75001 ADDRESS MASK BIT1 # SEE IF ADDRESS IS INDEXED. CYR CONTAINED
045651,000088: 6053 10000 CCS A # 400XX, SO BIT 1 IS NOW AS IT WAS IN CYR.
045652,000089: 6054 16115 TCF INDEX # FORM INDEXED ADDRESS.
045653,000090:
045654,000091: 6055 50164 DIRADRES INDEX LOC # LOOK AHEAD TO NEXT WORD TO SEE IF
045655,000092: 6056 40001 OCT40001 CS 1 # ADDRESS IS GIVEN.
045656,000093: 6057 10000 CCS A
045657,000094: 6060 16164 TCF PUSHUP # IF NOT.
045658,000095:
045659,000096: 6061 77773 NEG4 DEC -4 B-14
045660,000097:
045661,000098: 6062 24164 INCR LOC # IF SO, TO SHOW WE PICKED UP A WORD.
045662,000099: 6063 54116 TS ADDRWD
045663,000100:
045664,000101: # FINAL DIGESTION OF DIRECT ADDRESSES OF OP CODES WITH 01 PREFIX IS DONE HERE. IN EACH CASE, THE
045665,000102: # REQUIRED 12-BIT SUB-ADDRESS IS LEFT IN ADDRWD, WITH ANY REQUIRED E OR F BANK SWITCHING DONE. ADDRESSES LESS
045666,000103: # THAN 45D ARE TAKEN TO BE RELATIVE TO THE WORK AREA. THE OP CODE IS NOW IN BITS 1-5 OF CYR WITH BIT 14 = 1.
045667,000104:
045668,000105: 6064 66220 AD -ENDVAC # SEE IF ADDRESS RELATIVE TO WORK AREA.
045669,000106: 6065 10000 CCS A
045670,000107: 6066 67676 AD -ENDERAS # IF NOT, SEE IF IN GENERAL ERASABLE.
045671,000108: 6067 16074 TCF IERASTST
045672,000109:
045673,000110: 6070 30120 NETZERO CA FIXLOC # IF SO, LEAVE THE MODIFIED ADDRESS IN
045674,000111: 6071 26116 ADS ADDRWD # ADDRWD AND DISPATCH.
045675,000112: 6072 50020 ITR15 INDEX CYR # THIS INDEX MAKES THE NEXT INSTRUCTION
045676,000113: 6073 76242 7 INDJUMP -1 # TCF INDJUMP + OP, EDITING CYR.
045677,000114:
045678,000115: 6074 00006 IERASTST EXTEND
045679,000116: 6075 66105 BZMF GEADDR # GO PROCESS GENERAL-ERASABLE ADDRESS.
045680,000117:
045681,000118: 6076 75053 MASK LOW10 # FIXED BANK ADDRESS. RESTORE AND ADD B15.
045682,000119: 6077 65053 AD LOW10 # SWITCH BANKS AND LEAVE SUBADDRESS IN
045683,000120: 6100 56116 XCH ADDRWD # ADDRWD FOR OPERAND RETRIEVAL. (THIS
045684,000121: 6101 60115 AD INTBIT15 # METHOD PRECLUDES USE OF THE LAST
045685,000122: 6102 54004 TS FBANK # LOCATION IN EACH FBANK.)
045686,000123: 6103 50020 ITR12 INDEX CYR
045687,000124: 6104 76242 7 INDJUMP -1
045688,000125:
045689,000126: 6105 74350 GEADDR MASK LOW8
045690,000127: 6106 65037 AD OCT1400
045691,000128: 6107 56116 XCH ADDRWD
045692,000129: 6110 54003 TS EBANK
045693,000130: 6111 50020 ITR10 INDEX CYR
045694,000131: 6112 76242 7 INDJUMP -1
045695,000132:
045696,000133: # THE FOLLOWING ROUTINE PROCESSES INTERPRETIVE INDEXED ADDRESSES. AN INTERPRETER INDEX REGISTER MAY
045697,000134: # CONTAIN THE ADDRESS OF ANY ERASABLE REGISTER (0-42 BEING RELATIVE TO THE VAC AREA) OR ANY INTERPRETIVE PROGRAM
045698,000135: # BANK, OR ANY INTEGER IN THAT RANGE.
045699,000136:
045700,000137: 6113 37666 DODLOAD* CAF DLOAD* # STODL* COMES HERE TO PROCESS LOAD ADR.
045701,000138: 6114 54020 +1 TS CYR # (STOVL* ENTERS HERE).
045702,000139: 6115 30120 INDEX CA FIXLOC # SET UP INDEX LOCATION.
045703,000140: 6116 54130 TS INDEXLOC
045704,000141: 6117 24164 INCR LOC # (ADDRESS ALWAYS GIVEN).
045705,000142: 6120 50164 INDEX LOC
045706,000143: 6121 40000 CS 0
045707,000144: 6122 10000 CCS A # INDEX 2 IF ADDRESS STORED COMPLEMENTED.
045708,000145: 6123 24130 INCR INDEXLOC
045709,000146: 6124 16125 NOOP
045710,000147:
045711,000148: 6125 54116 TS ADDRWD # 14 BIT ADDRESS TO ADDRWD.
045712,000149: 6126 77675 MASK HIGH4 # IF ADDRESS GREATER THAN 2K, ADD INTBIT15
045713,000150: 6127 00006 EXTEND
045714,000151: 6130 16133 BZF INDEX2
045715,000152: 6131 30115 CA INTBIT15
045716,000153: 6132 26116 ADS ADDRWD
045717,000154:
045718,000155: 6133 50130 INDEX2 INDEX INDEXLOC
045719,000156: 6134 40046 CS X1
045720,000157: 6135 26116 ADS ADDRWD # DO AUGMENT, IGNORING AND CORRECTING OVF.
045721,000158:
045722,000159: 6136 77677 MASK HIGH9 # SEE IF ADDRESS IS IN WORK AREA.
045723,000160: 6137 00006 EXTEND
045724,000161: 6140 16153 BZF INDWORK
045725,000162: 6141 77675 MASK HIGH4 # SEE IF IN FIXED BANK.
045726,000163: 6142 00006 EXTEND
045727,000164: 6143 16155 BZF INDERASE
045728,000165:
045729,000166: 6144 30116 CA ADDRWD # IN FIXED - SWITCH BANKS AND CREATE
045730,000167: 6145 54004 TS FBANK # SUB-ADDRESS.
045731,000168: 6146 75053 MASK LOW10
045732,000169: 6147 64767 AD 2K
045733,000170: 6150 54116 TS ADDRWD
045734,000171: 6151 50020 ITR11 INDEX CYR
045735,000172: 6152 36242 3 INDJUMP -1
045736,000173:
045737,000174: 6153 30120 INDWORK CA FIXLOC # MAKE ADDRWD RELATIVE TO WORK AREA.
045738,000175: 6154 16161 TCF ITR13 -1
045739,000176:
045740,000177: 6155 35037 INDERASE CA OCT1400
045741,000178: 6156 56116 XCH ADDRWD
045742,000179: 6157 54003 TS EBANK
045743,000180: 6160 74350 MASK LOW8
045744,000181: 6161 26116 -1 ADS ADDRWD
045745,000182: 6162 50020 ITR13 INDEX CYR
045746,000183: 6163 36242 3 INDJUMP -1
045747,000184:
045748,000185: # PUSH-UP ROUTINES. WHEN NO OPERAND ADDRESS IS GIVEN, THE APPROPRIATE OPERAND IS TAKEN FROM THE PUSH-DOWN
045749,000186: # LIST. IN MOST CASES THE MODE OF THE RESULT (VECTOR OR SCALAR) OF THE LAST ARITHMETIC OPERATION PERFORMED
045750,000187: # IS THE SAME AS THE TYPE OF OPERAND DESIRED (ALL ADD/SUBTRACT ETC.). EXCEPTIONS TO THIS GENERAL RULE ARE LISTED
045751,000188: # BELOW (NOTE THAT IN EVERY CASE THE MODE REGISTER IS LEFT INTACT):
045752,000189:
045753,000190: # 1. VXSC AND V/SC WANT THE OPPOSITE TYPE OF OPERAND, E.G., IF THE LAST OPERATION YIELDED A VECTOR
045754,000191: # RESULT, VXSC WANTS A SCALAR.
045755,000192:
045756,000193: # 2. THE LOAD CODES SHOULD LOAD THE ACCUMULATOR INDEPENDENT OF THE RESULT OF THE LAST OPERATION. THIS
045757,000194: # INCLUDES VLOAD, DLOAD, TLOAD, PDDL, AND PDVL (NO PUSHUP WITH SLOAD).
045758,000195:
045759,000196: # 3. SOME ARITHMETIC OPERATIONS REQUIRE A STANDARD TYPE OF OPERAND REGARDLESS OF THE PREVIOUS OPERATION.
045760,000197: # THIS INCLUDES SIGN WANTING DP AND TAD REQUIRING TP.
045761,000198:
045762,000199: 6164 34351 PUSHUP CAF OCT23 # IF THE LOW 5 BITS OF CYR ARE LESS THAN
045763,000200: 6165 70020 MASK CYR # 20, THIS OP REQUIRES SPECIAL ATTENTION.
045764,000201: 6166 66171 AD -OCT10 # (NO -0).
045765,000202: 6167 10000 CCS A
045766,000203: 6170 16202 TCF REGUP # FOR ALL CODES GREATER THAN OCT 7.
045767,000204:
045768,000205: 6171 77767 -OCT10 OCT -10
045769,000206:
045770,000207: 6172 66061 AD NEG4 # WE NOW HAVE 7 - OP CODE(MOD4). SEE IF
045771,000208: 6173 10000 CCS A # THE OP CODE (MOD4) IS THREE (REVERSE).
045772,000209: 6174 50000 INDEX A # NO - THE MODE IS DEFINITE. PICK UP THE
045773,000210: 6175 46213 CS NO.WDS
045774,000211: 6176 16204 TCF REGUP +2
045775,000212:
045776,000213: 6177 50163 INDEX MODE # FOR VXSC AND V/SC WE WANT THE REQUIRED
045777,000214: 6200 46211 CS REVCNT # PUSHLOC DECREMENT WITHOUT CHANGING THE
045778,000215: 6201 16204 TCF REGUP +2 # MODE AT THIS TIME.
045779,000216:
045780,000217: 6202 50163 REGUP INDEX MODE # MOST ALL OP CODES PUSHUP HERE.
045781,000218: 6203 46213 CS NO.WDS
045782,000219: 6204 26166 +2 ADS PUSHLOC
045783,000220: 6205 54116 TS ADDRWD
045784,000221: 6206 50020 ITR14 INDEX CYR
045785,000222: 6207 76242 7 INDJUMP -1 # (THE INDEX MAKES THIS A TCF.)
045786,000223:
045787,000224: 6210 00002 OCT 2 # REVERSE PUSHUP DECREMENT. VECTOR TAKES 2
045788,000225: 6211 00006 REVCNT OCT 6 # WORDS, SCALAR TAKES 6.
045789,000226: 6212 00006 OCT 6
045790,000227: 6213 00002 NO.WDS OCT 2 # CONVENTIONAL DECREMENT IS 6 WORDS VECTOR
045791,000228: 6214 00003 OCTAL3 OCT 3 # 2 IN DP, AND 3 IN TP.
045792,000229: 6215 00006 OCT 6
045793,000230:
045794,000231: # TEST THE SECOND PREFIX BIT TO SEE IF THIS IS A MISCELLANEOUS OR A UNARY/SHORT SHIFT OPERATION.
045795,000232:
045796,000233: 6216 10020 OPJUMP2 CCS CYR # TEST SECOND PREFIX BIT.
045797,000234: 6217 16232 TCF OPJUMP3 # TEST THIRD BIT TO SEE IF UNARY OR SHIFT.
045798,000235:
045799,000236: 6220 77722 -ENDVAC DEC -45 B-14
045800,000237:
045801,000238: # THE FOLLOWING ROUTINE PROCESSES ADDRESSES OF SUFFIX CLASS 10. THEY ARE BASICALLY WORK AREA ADDRESSES
045802,000239: # IN THE RANGE 0 - 52, ERASABLE ECADR CONSTANTS FROM 100 - 3777, AND FCADRS ABOVE THAT. ALL 15 BITS ARE AVAILABLE
045803,000240: # IN CONTRAST TO SUFFIX 1, IN WHICH ONLY THE LOW ORDER 14 ARE AVAILABLE.
045804,000241:
045805,000242: 6221 24164 15BITADR INCR LOC # (ENTRY HERE FROM STCALL).
045806,000243: 6222 50164 INDEX LOC # PICK UP ADDRESS WORD.
045807,000244: 6223 30000 CA 0
045808,000245: 6224 54117 TS POLISH # WE MAY NEED A SUBADDRESS LATER.
045809,000246:
045810,000247: 6225 35054 CAF LOW7+2K # THESE INSTRUCTIONS ARE IN BANK 1.
045811,000248: 6226 54004 TS FBANK
045812,000249: 6227 70020 MASK CYR
045813,000250: 6230 50000 ITR7 INDEX A
045814,000251: 6231 16303 TCF MISCJUMP
045815,000252:
045816,000253: # COMPLETE THE DISPATCHING OF UNARY AND SHORT SHIFT OPERATIONS.
045817,000254:
045818,000255: 6232 54004 OPJUMP3 TS FBANK # CALL IN BANK 0 (BITS 11-15 OF A ARE 0.)
045819,000256:
045820,000257: 6233 10020 CCS CYR # TEST THIRD PREFIX BIT.
045821,000258: 6234 50000 INDEX A # THE DECREMENTED UNARY CODE IS IN BITS
045822,000259: 6235 12000 TCF UNAJUMP # 1-4 OF A (ZERO, EXIT, HAS BEEN DETECTED)
045823,000260:
045824,000261: 6236 10163 CCS MODE # ITS A SHORT SHIFT CODE. SEE IF PRESENT
045825,000262: 6237 12017 TCF SHORTT # SCALAR OR VECTOR.
045826,000263: 6240 12017 TCF SHORTT
045827,000264: 6241 12121 TCF SHORTV # CALLS THE APPROPRIATE ROUTINE.
045828,000265:
045829,000266: 6242 4344 FBANKMSK EQUALS BANKMASK
045830,000267: 6242 00122 LVBUF ADRES VBUF
045831,000268:
045832,000269: # THE FOLLOWING IS THE JUMP TABLE FOR OP CODES WHICH MAY HAVE INDEXABLE ADDRESSES OR MAY PUSH UP.
045833,000270:
045834,000271: 6243 16454 INDJUMP TCF VLOAD # 00 - LOAD MPAC WITH A VECTOR.
045835,000272: 6244 17040 TCF TAD # 01 - TRIPLE PRECISION ADD TO MPAC.
045836,000273: 6245 17611 TCF SIGN # 02 - COMPLEMENT MPAC (V OR SC) IF X NEG.
045837,000274: 6246 17335 TCF VXSC # 03 - VECTOR TIMES SCALAR.
045838,000275: 6247 16652 TCF CGOTO # 04 - COMPUTED GO TO.
045839,000276: 6250 16437 TCF TLOAD # 05 - LOAD MPAC WITH TRIPLE PRECISION.
045840,000277: 6251 16021 TCF DLOAD # 06 - LOAD MPAC WITH A DP SCALAR.
045841,000278: 6252 17560 TCF V/SC # 07 - VECTOR DIVIDED BY SCALAR.
045842,000279:
045843,000280: 6253 16450 TCF SLOAD # 10 - LOAD MPAC IN SINGLE PRECISION.
045844,000281: 6254 16567 TCF SSP # 11 - SET SINGLE PRECISION INTO X.
045845,000282: 6255 16472 TCF PDDL # 12 - PUSH DOWN MPAC AND RE-LOAD IN DP.
045846,000283: 6256 17270 TCF MXV # 13 - MATRIX POST-MULTIPLIED BY VECTOR.
045847,000284: 6257 16526 TCF PDVL # 14 - PUSH DOWN AND VECTOR LOAD.
045848,000285: 6260 16575 TCF CCALL # 15 - COMPUTED CALL.
045849,000286: 6261 17273 TCF VXM # 16 - MATRIX PRE-MULTIPLIED BY VECTOR.
045850,000287: 6262 17552 TCF TSLC # 17 - NORMALIZE MPAC (SCALAR ONLY).
045851,000288:
045852,000289: 6263 17530 TCF DMPR # 20 - DP MULTIPLY AND ROUND.
045853,000290: 6264 17533 TCF DDV # 21 - DP DIVIDE BY.
045854,000291: 6265 17537 TCF BDDV # 22 - DP DIVIDE INTO.
045855,000292: 6266 17555 TCF GSHIFT # 23 - GENERAL SHIFT INSTRUCTION.
045856,000293: 6267 16720 TCF VAD # 24 - VECTOR ADD.
045857,000294: 6270 16716 TCF VSU # 25 - VECTOR SUBTRACT.
045858,000295: 6271 17005 TCF BVSU # 26 - VECTOR SUBTRACT FROM.
045859,000296: 6272 17265 TCF DOT # 27 - VECTOR DOT PRODUCT.
045860,000297:
045861,000298: 6273 17414 TCF VXV # 30 - VECTOR CROSS PRODUCT.
045862,000299: 6274 17361 TCF VPROJ # 31 - VECTOR PROJECTION.
045863,000300: 6275 16754 TCF DSU # 32 - DP SUBTRACT.
045864,000301: 6276 17031 TCF BDSU # 33 - DP SUBTRACT FROM.
045865,000302: 6277 16744 TCF DAD # 34 - DP ADD.
045866,000303: 6300 16300 TCF +0 # 35 - AVAILABLE
045867,000304: 6301 17526 TCF DMP1 # 36 - DP MULTIPLY.
045868,000305: 6302 17547 TCF SETPD # 37 - SET PUSH DOWN POINTER (DIRECT ONLY)
045869,000306:
045870,000307: # CODES 10 AND 14 MUST NOT PUSH UP. CODE 04 MAY BE USED FOR VECTOR DECLARE BEFORE PUSHUP IF DESIRED.
045871,000308:
045872,000309: # THE FOLLOWING JUMP TABLE APPLIES TO INDEX, BRANCH, AND MISCELLANEOUS INSTRUCTIONS.
045873,000310:
045874,000311: 6303 12347 MISCJUMP TCF AXT # 00 - ADDRESS TO INDEX TRUE.
045875,000312: 6304 12354 TCF AXC # 01 - ADDRESS TO INDEX COMPLEMENTED.
045876,000313: 6305 12357 TCF LXA # 02 - LOAD INDEX FROM ERASABLE.
045877,000314: 6306 12363 TCF LXC # 03 - LOAD INDEX FROM COMPLEMENT OF ERAS.
045878,000315: 6307 12367 TCF SXA # 04 - STORE INDEX IN ERASABLE.
045879,000316: 6310 12375 TCF XCHX # 05 - EXCHANGE INDEX WITH ERASABLE.
045880,000317: 6311 12411 TCF INCR # 06 - INCREMENT INDEX REGISTER.
045881,000318: 6312 12420 TCF TIX # 07 - TRANSFER ON INDEX.
045882,000319:
045883,000320: 6313 12403 TCF XAD # 10 - INDEX REGISTER ADD FROM ERASABLE.
045884,000321: 6314 12414 TCF XSU # 11 - INDEX SUBTRACT FROM ERASABLE.
045885,000322: 6315 12472 TCF BZE/GOTO # 12 - BRANCH ZERO AND GOTO.
045886,000323: 6316 12477 TCF BPL/BMN # 13 - BRANCH PLUS AND BRANCH MINUS.
045887,000324: 6317 12452 TCF RTB/BHIZ # 14 - RETURN TO BASIC AND BRANCH HI ZERO.
045888,000325: 6320 12512 TCF CALL/ITA # 15 - CALL AND STORE QPRET.
045889,000326: 6321 12521 TCF SW/ # 16 - SWITCH INSTRUCTIONS AND AVAILABLE.
045890,000327: 6322 12462 TCF BOV(B) # 17 - BRANCH ON OVERFLOW TO BASIC OR INT.
045891,000328:
045892,000329: # THE FOLLOWING JUMP TABLE APPIES TO UNARY INSTRUCTIONS.
045893,000330:
045894,000331: 00,2000 SETLOC INTERB0
045895,000332: 00,2000 BANK
045896,000333:
045897,000334: 00,2000 COUNT* $$/INTER
045898,000335: 00,2000 13206 UNAJUMP TCF SQRT # 01 - SQUARE ROOT.
045899,000336: 00,2001 13525 TCF SINE # 02 - SIN.
045900,000337: 00,2002 13514 TCF COSINE # 03 - COS.
045901,000338: 00,2003 13605 TCF ARCSIN # 04 - ARC SIN.
045902,000339: 00,2004 13607 TCF ARCCOS # 05 - ARC COS.
045903,000340: 00,2005 13173 TCF DSQ # 06 - DP SQUARE.
045904,000341: 00,2006 12116 TCF ROUND # 07 - ROUND TO DP.
045905,000342:
045906,000343: 00,2007 17624 TCF COMP # 10 - COMPLEMENT VECTOR OR SCALAR.
045907,000344: 00,2010 13231 TCF VDEF # 11 - VECTOR DEFINE.
045908,000345: 00,2011 13022 TCF UNIT # 12 - UNIT VECTOR.
045909,000346: 00,2012 13175 TCF ABVALABS # 13 - LENGTH OF VECTOR OR MAG OF SCALAR.
045910,000347: 00,2013 13244 TCF VSQ # 14 - SQUARE OF LENGTH OF VECTOR.
045911,000348: 00,2014 16323 TCF STADR # 15 - PUSH UP ON STORE CODE.
045912,000349: 00,2015 13273 TCF RVQ # 16 - RETURN VIA QPRET.
045913,000350: 00,2016 13246 TCF PUSH # 17 - PUSH MPAC DOWN.
045914,000351:
045915,000352: # SECTION 2 LOAD AND STORE PACKAGE.
045916,000353:
045917,000354: # A SET OF EIGHT STORE CODES IS PROVIDED AS THE PRIMARY METHOD OF STORING THE MULTI-PURPOSE
045918,000355: # ACCUMULATOR (MPAC). IF IN THE DANZIG SECTION LOC REFERS TO AN ALGEBRAICALLY POSITIVE WORD, IT IS TAKEN AS A
045919,000356: # STORE CODE WITH A CORRESPONDING ERASABLE ADDRESS. MOST OF THESE CODES ARE TWO ADDRESS, SPECIFYING THAT THE WORD
045920,000357: # FOLLOWING THE STORE CODE IS TO BE USED AS AN ADDRESS FROM WHICH TO RE-LOAD MPAC. FOUR OPTIONS ARE AVAILABLE:
045921,000358:
045922,000359: # 1. STORE STORE MPAC. THE E ADDRESS MAY BE INDEXED.
045923,000360: # 2. STODL STORE MPAC AND RE-LOAD IT IN DP WITH THE NEXT ADDRESS (THE LOAD MAY BE INDEXED).
045924,000361: # 3. STOVL STORE MPAC AND RE-LOAD A VECTOR (AS ABOVE).
045925,000362: # 4. STCALL STORE AND DO A CALL (BOTH ADDRESSES MUST BE DIRECT HERE).
045926,000363:
045927,000364: # STODL AND STOVL WILL TAKE FROM THE PUSH-DOWN LIST IF NO LOAD ADDRESS IS GIVEN.
045928,000365:
045929,000366: 6000 SETLOC INTERF3
045930,000367: 6000 BANK
045931,000368:
045932,000369: 6323 COUNT* $$/INTER
045933,000370: 6323 30165 STADR CA BANKSET # THE STADR CODE (PUSHUP UP ON STORE
045934,000371: 6324 54004 TS FBANK # ADDRESS) ENTERS HERE.
045935,000372: 6325 24164 INCR LOC
045936,000373: 6326 50164 ITR1 INDEX LOC # THE STORECODE WAS STORED COMPLEMENTED TO
045937,000374: 6327 40000 CS 0 # MAKE IT LOOK LIKE AN OPCODE PAIR.
045938,000375: 6330 67702 AD NEGONE # (YUL CANT REMOVE 1 BECAUSE OF EARLY CCS)
045939,000376:
045940,000377: 6331 54116 DOSTORE TS ADDRWD
045941,000378: 6332 74347 MASK LOW11 # ENTRY FROM DISPATCHER. SAVE THE ERASABLE
045942,000379: 6333 56116 XCH ADDRWD # ADDRESS AND JUMP ON THE STORE CODE NO.
045943,000380: 6334 77656 MASK B12T14
045944,000381: 6335 00006 EXTEND
045945,000382: 6336 74775 MP BIT5 # EACH TRANSFER VECTOR ENTRY IS TWO WORDS.
045946,000383: 6337 50000 ITR0 INDEX A
045947,000384: 6340 16341 TCF STORJUMP
045948,000385:
045949,000386: # STORE CODE JUMP TABLE. CALLS THE APPROPRIATE STORING ROUTINE AND EXITS TO DANZIG OR TO ADDRESS WITH
045950,000387: # A SUPPLIED OPERATION CODE.
045951,000388:
045952,000389: # STORE STORE,1 AND STORE,2 RETURN TO DANZIG, THUS RESETTING THE EBANK TO ITS STATE AT INTPRET.
045953,000390:
045954,000391: 6341 06371 STORJUMP TC STORE # STORE.
045955,000392: 6342 16030 TCF DANZIG # PICK UP NEW OP CODE(S).
045956,000393: 6343 06363 TC STORE,1
045957,000394: 6344 16030 TCF DANZIG
045958,000395: 6345 06366 TC STORE,2
045959,000396: 6346 16030 TCF DANZIG
045960,000397:
045961,000398: 6347 06371 TC STORE # STODL.
045962,000399: 6350 16427 TCF DODLOAD
045963,000400:
045964,000401: 6351 06371 TC STORE # STODL WITH INDEXED LOAD ADDRESS.
045965,000402: 6352 16113 TCF DODLOAD*
045966,000403:
045967,000404: 6353 06371 TC STORE # STOVL.
045968,000405: 6354 16432 TCF DOVLOAD
045969,000406:
045970,000407: 6355 06371 TC STORE # STOVL WITH INDEXED LOAD ADDRESS.
045971,000408: 6356 16435 TCF DOVLOAD*
045972,000409: 6357 06371 TC STORE # STOTC.
045973,000410: 6360 35013 CAF CALLCODE
045974,000411: 6361 54020 TS CYR
045975,000412: 6362 16221 TCF 15BITADR # GET A 15 BIT ADDRESS.
045976,000413:
045977,000414: # STORE CODE ADDRESS PROCESSOR.
045978,000415:
045979,000416: 6363 50120 STORE,1 INDEX FIXLOC
045980,000417: 6364 40046 CS X1
045981,000418: 6365 16370 TCF PRESTORE
045982,000419:
045983,000420: 6366 50120 STORE,2 INDEX FIXLOC
045984,000421: 6367 40047 CS X2
045985,000422: 6370 26116 PRESTORE ADS ADDRWD # RESULTANT ADDRESS IS IN ERASABLE.
045986,000423:
045987,000424: 6371 40116 STORE CS ADDRWD
045988,000425: 6372 65020 AD DEC45
045989,000426: 6373 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA?
045990,000427: 6374 30120 CA FIXLOC # YES.
045991,000428: 6375 16402 TCF AHEAD5
045992,000429: 6376 35037 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS.
045993,000430: 6377 56116 XCH ADDRWD
045994,000431: 6400 54003 TS EBANK
045995,000432: 6401 74350 MASK LOW8
045996,000433: 6402 26116 AHEAD5 ADS ADDRWD
045997,000434:
045998,000435: # STORING ROUTINES. STORE DP, TP, OR VECTOR AS INDICATED BY MODE.
045999,000436:
046000,000437: 6403 00006 STARTSTO EXTEND # MPAC,+1 MUST BE STORED IN ANY EVENT.
046001,000438: # ITRACE (5) REFERS TO "STARTSTO".
046002,000439: 6404 30155 DCA MPAC
046003,000440: 6405 50116 INDEX ADDRWD
046004,000441: 6406 52001 DXCH 0
046005,000442:
046006,000443: 6407 10163 CCS MODE
046007,000444: 6410 16423 TCF TSTORE
046008,000445: 6411 00002 TC Q
046009,000446:
046010,000447: 6412 00006 VSTORE EXTEND
046011,000448: 6413 30160 DCA MPAC +3
046012,000449: 6414 50116 INDEX ADDRWD
046013,000450: 6415 52003 DXCH 2
046014,000451:
046015,000452: 6416 00006 EXTEND
046016,000453: 6417 30162 DCA MPAC +5
046017,000454: 6420 50116 INDEX ADDRWD
046018,000455: 6421 52005 DXCH 4
046019,000456: 6422 00002 TC Q
046020,000457:
046021,000458: 6423 30156 TSTORE CA MPAC +2
046022,000459: 6424 50116 INDEX ADDRWD
046023,000460: 6425 54002 TS 2
046024,000461: 6426 00002 TC Q
046025,000462:
046026,000463: # ROUTINES TO BEGIN PROCESSING OF THE SECOND ADDRESS ASSOCIATED WITH ALL STORE-TYPE CODES EXCEPT STORE
046027,000464: # ITSELF.
046028,000465:
046029,000466: 6427 37665 DODLOAD CAF DLOADCOD
046030,000467: 6430 54020 TS CYR
046031,000468: 6431 16055 TCF DIRADRES # GO GET A DIRECT ADDRESS.
046032,000469:
046033,000470: 6432 34763 DOVLOAD CAF VLOADCOD
046034,000471: 6433 54020 TS CYR
046035,000472: 6434 16055 TCF DIRADRES
046036,000473:
046037,000474: 6435 36056 DOVLOAD* CAF VLOAD*
046038,000475: 6436 16114 TCF DODLOAD* +1 # PROLOGUE TO INDEX ROUTINE.
046039,000476:
046040,000477: # THE FOLLOWING LOAD INSTRUCTIONS ARE PROVIDED FOR LOADING THE MULTI-PURPOSE ACCUMULATOR MPAC.
046041,000478:
046042,000479: 6437 50116 TLOAD INDEX ADDRWD
046043,000480: 6440 30002 CA 2 # LOAD A TRIPLE PRECISION ARGUMENT INTO
046044,000481: 6441 54156 TS MPAC +2 # THE FIRST THREE MPAC REGISTERS, WITH THE
046045,000482: 6442 00006 EXTEND # CONTENTS OF THE OTHER FOUR IRRELEVANT.
046046,000483: 6443 50116 INDEX ADDRWD
046047,000484: 6444 30001 DCA 0
046048,000485: 6445 52155 DXCH MPAC
046049,000486: 6446 35001 TMODE CAF ONE
046050,000487: 6447 16027 TCF NEWMODE # DECLARE TRIPLE PRECISION MODE.
046051,000488:
046052,000489: 6450 22007 SLOAD ZL # LOAD A SINGLE PRECISION NUMBER INTO
046053,000490: 6451 50116 INDEX ADDRWD # MPAC, SETTING MPAC+1,2 TO ZERO. THE
046054,000491: 6452 30000 CA 0 # CONTENTS OF THE REMAINING MPAC REGISTERS
046055,000492: 6453 16024 TCF SLOAD2 # ARE IRRELEVANT.
046056,000493:
046057,000494: 6454 00006 VLOAD EXTEND # LOAD A DOUBLE PRECISION VECTOR INTO
046058,000495: 6455 50116 INDEX ADDRWD # MPAC,+1, MPAC+3,4, AND MPAC+5,6. THE
046059,000496: 6456 30001 DCA 0 # CONTENTS OF MPAC +2 ARE IRRELEVANT.
046060,000497: 6457 52155 DXCH MPAC
046061,000498:
046062,000499: 6460 00006 ENDVLOAD EXTEND # PDVL COMES HERE TO FINISH UP FOR DP, TP.
046063,000500: 6461 50116 INDEX ADDRWD
046064,000501: 6462 30003 DCA 2
046065,000502: 6463 52160 DXCH MPAC +3
046066,000503:
046067,000504: 6464 00006 +4 EXTEND # TPDVL FINISHES HERE.
046068,000505: 6465 50116 INDEX ADDRWD
046069,000506: 6466 30005 DCA 4
046070,000507: 6467 52162 DXCH MPAC +5
046071,000508:
046072,000509: 6470 45001 VMODE CS ONE # DECLARE VECTOR MODE.
046073,000510: 6471 16027 TCF NEWMODE
046074,000511:
046075,000512: # THE FOLLOWING INSTRUCTIONS ARE PROVIDED FOR STORING OPERANDS IN THE PUSHDOWN LIST:
046076,000513: # 1. PUSH PUSHDOWN AND NO LOAD.
046077,000514: # 2. PDDL PUSHDOWN AND DOUBLE PRECISION LOAD.
046078,000515: # 3. PDVL PUSHDOWN AND VECTOR LOAD.
046079,000516:
046080,000517: 6472 00006 PDDL EXTEND
046081,000518: 6473 50116 INDEX ADDRWD # LOAD MPAC,+1, PUSHING THE FORMER
046082,000519: 6474 30001 DCA 0 # CONTENTS DOWN.
046083,000520: 6475 52155 DXCH MPAC
046084,000521: 6476 50166 INDEX PUSHLOC
046085,000522: 6477 52001 DXCH 0
046086,000523:
046087,000524: 6500 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER APPRO-
046088,000525: 6501 36213 CAF NO.WDS # PRIATELY.
046089,000526: 6502 26166 ADS PUSHLOC
046090,000527:
046091,000528: 6503 10163 CCS MODE
046092,000529: 6504 16521 TCF ENDTPUSH
046093,000530: 6505 16517 TCF ENDDPUSH
046094,000531:
046095,000532: 6506 54163 TS MODE # NOW DP.
046096,000533: 6507 54156 ENDVPUSH TS MPAC +2
046097,000534: 6510 52160 DXCH MPAC +3 # PUSH DOWN THE REST OF THE VECTOR HERE.
046098,000535: 6511 50166 INDEX PUSHLOC
046099,000536: 6512 51775 DXCH 0 -4
046100,000537:
046101,000538: 6513 52162 DXCH MPAC +5
046102,000539: 6514 50166 INDEX PUSHLOC
046103,000540: 6515 51777 DXCH 0 -2
046104,000541:
046105,000542: 6516 16030 TCF DANZIG
046106,000543:
046107,000544: 6517 54156 ENDDPUSH TS MPAC +2 # SET MPAC +2 TO ZERO AND EXIT ON DP.
046108,000545: 6520 16030 TCF DANZIG
046109,000546:
046110,000547: 6521 54163 ENDTPUSH TS MODE
046111,000548: 6522 56156 XCH MPAC +2 # ON TRIPLE, SET MPAC +2 TO ZERO, PUSHING
046112,000549: 6523 50166 +2 INDEX PUSHLOC # DOWN THE OLD CONTENTS
046113,000550: 6524 53777 TS 0 -1
046114,000551: 6525 16030 TCF DANZIG
046115,000552:
046116,000553: # PDVL - PUSHDOWN AND VECTOR LOAD.
046117,000554:
046118,000555: 6526 00006 PDVL EXTEND # RELOAD MPAC AND PUSH DOWN ITS CONTENTS.
046119,000556: 6527 50116 INDEX ADDRWD
046120,000557: 6530 30001 DCA 0
046121,000558: 6531 52155 DXCH MPAC
046122,000559: 6532 50166 INDEX PUSHLOC
046123,000560: 6533 52001 DXCH 0
046124,000561:
046125,000562: 6534 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER.
046126,000563: 6535 36213 CAF NO.WDS
046127,000564: 6536 26166 ADS PUSHLOC
046128,000565:
046129,000566: 6537 10163 CCS MODE # TEST PAST MODE.
046130,000567: 6540 16557 TCF TPDVL
046131,000568: 6541 16460 TCF ENDVLOAD # JUST LOAD LAST FOUR REGISTERS ON DP.
046132,000569:
046133,000570: 6542 00006 VPDVL EXTEND # PUSHDOWN AND RE-LOAD LAST TWO COMPONENTS
046134,000571: 6543 50116 INDEX ADDRWD
046135,000572: 6544 30003 DCA 2
046136,000573: 6545 52160 DXCH MPAC +3
046137,000574: 6546 50166 INDEX PUSHLOC
046138,000575: 6547 51775 DXCH 0 -4
046139,000576:
046140,000577: 6550 00006 EXTEND
046141,000578: 6551 50116 INDEX ADDRWD
046142,000579: 6552 30005 DCA 4
046143,000580: 6553 52162 DXCH MPAC +5
046144,000581: 6554 50166 INDEX PUSHLOC
046145,000582: 6555 51777 DXCH 0 -2
046146,000583:
046147,000584: 6556 16030 TCF DANZIG
046148,000585:
046149,000586: 6557 00006 TPDVL EXTEND # ON TP, WE MUST LOAD THE Y COMPONENT
046150,000587: 6560 50116 INDEX ADDRWD # BEFORE STORING MPAC +2 IN CASE THIS IS A
046151,000588: 6561 30003 DCA 2 # PUSHUP.
046152,000589: 6562 52160 DXCH MPAC +3
046153,000590:
046154,000591: 6563 30156 CA MPAC +2
046155,000592: 6564 50166 INDEX PUSHLOC # IN DP.
046156,000593: 6565 53777 TS 0 -1
046157,000594: 6566 16464 TCF ENDVLOAD +4
046158,000595:
046159,000596: # SSP (STORE SINGLE PRECISION) IS EXECUTED HERE.
046160,000597:
046161,000598: 6567 24164 SSP INCR LOC # PICK UP THE WORD FOLLOWING THE GIVEN
046162,000599: 6570 50164 INDEX LOC # ADDRESS AND STORE IT AT X.
046163,000600: 6571 30000 CA 0
046164,000601: 6572 50116 STORE1 INDEX ADDRWD # SOME INDEX AND MISCELLANEOUS OPS END
046165,000602: 6573 54000 TS 0 # HERE.
046166,000603: 6574 16030 TCF DANZIG
046167,000604:
046168,000605: # SEQUENCE CHANGING AND SUBROUTINE CALLING OPTIONS.
046169,000606:
046170,000607: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR SEQUENCING CHANGING, BRANCHING, AND CALLING SUBROUTINES:
046171,000608:
046172,000609: # 1. GOTO GO TO.
046173,000610: # 2. CALL CALL SUBROUTINE SETTING QPRET.
046174,000611: # 3. CGOTO COMPUTED GO TO.
046175,000612: # 4. CCALL COMPUTED CALL.
046176,000613: # 7. BPL BRANCH IF MPAC POSITIVE OR ZERO.
046177,000614: # 8. BZE BRANCH IF MPAC ZERO.
046178,000615: # 9. BMN BRANCH IF MPAC NEGATIVE NON-ZERO.
046179,000616:
046180,000617: 6575 24164 CCALL INCR LOC # MAINTAIN LOC FOR QPRET COMPUTATION.
046181,000618: 6576 50164 INDEX LOC
046182,000619: 6577 30000 CAF 0 # GET BASE ADDRESS OF CADR LIST.
046183,000620: 6600 50116 INDEX ADDRWD
046184,000621: 6601 60000 AD 0 # ADD INCREMENT.
046185,000622: 6602 54004 TS FBANK # SELECT DESIRED CADR.
046186,000623: 6603 75053 MASK LOW10
046187,000624: 6604 50000 INDEX A
046188,000625: 6605 32000 CAF 10000
046189,000626: 6606 54117 TS POLISH
046190,000627:
046191,000628: 6607 30165 CALL CA BANKSET # FOR ANY OF THE CALL OPTIONS, MAKE UP THE
046192,000629: 6610 74344 MASK BANKMASK # ADDRESS OF THE NEXT OP-CODE PAIR/STORE
046193,000630: 6611 64344 AD BANKMASK # CODE AND LEAVE IT IN QPRET. NOTE THAT
046194,000631: 6612 60164 AD LOC # BANKMASK = -(2000 - 1).
046195,000632: 6613 50120 INDEX FIXLOC
046196,000633: 6614 54052 TS QPRET
046197,000634:
046198,000635: 6615 30117 GOTO CA POLISH # BASIC BRANCHING SEQUENCE.
046199,000636: 6616 77675 +1 MASK HIGH4
046200,000637: 6617 00006 EXTEND
046201,000638: 6620 16631 BZF GOTOERS # SEE IF ADDRESS POINTS TO FIXED OR ERAS.
046202,000639: 6621 30165 +4 CA BANKSET # SET EBANK PART OF BBANK. NEXT, SET UP
046203,000640: 6622 54006 TS BBANK # FBANK. THE COMBINATION IS PICKED UP &
046204,000641: 6623 30117 CA POLISH # PUT INTO BANKSET AT INTPRET +2.
046205,000642: 6624 54004 TS FBANK
046206,000643: 6625 75053 MASK LOW10
046207,000644: 6626 64767 AD 2K
046208,000645: 6627 54164 TS LOC
046209,000646: 6630 16011 TCF INTPRET +3
046210,000647:
046211,000648: 6631 E3,1400 EBANK= 1400 # SO YUL DOESN'T CUSS THE "CA 1400" BELOW.
046212,000649:
046213,000650: 6631 30117 GOTOERS CA POLISH # THE GIVEN ADDRESS IS IN ERASABLE - SEE
046214,000651: 6632 66220 AD -ENDVAC # IF RELATIVE TO THE WORK AREA.
046215,000652: 6633 10000 CCS A
046216,000653: 6634 30117 CA POLISH # GENERAL ERASABLE.
046217,000654: 6635 16644 TCF GOTOGE
046218,000655: 6636 30120 CA FIXLOC # WORK AREA.
046219,000656: 6637 60117 AD POLISH
046220,000657: 6640 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF
046221,000658: 6641 30000 CA 0 # THE BRANCH ADDRESS.
046222,000659: 6642 54117 TS POLISH
046223,000660: 6643 16616 TCF GOTO +1 # ALLOWS ARBITRARY INDIRECTNESS LEVELS.
046224,000661:
046225,000662: 6644 54003 GOTOGE TS EBANK
046226,000663: 6645 74350 MASK LOW8
046227,000664: 6646 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF
046228,000665: 6647 31400 CA 1400 # THE BRANCH ADDRESS.
046229,000666: 6650 54117 TS POLISH
046230,000667: 6651 16616 TCF GOTO +1
046231,000668:
046232,000669: 6652 50164 CGOTO INDEX LOC # COMPUTED GO TO. PICK UP ADDRESS OF CADR
046233,000670: 6653 30001 CA 1 # LIST.
046234,000671: 6654 50116 INDEX ADDRWD # ADD MODIFIER.
046235,000672: 6655 60000 AD 0
046236,000673: 6656 54004 TS FBANK # SELECT GOTO ADDRESS.
046237,000674: 6657 75053 MASK LOW10
046238,000675: 6660 50000 INDEX A
046239,000676: 6661 32000 CA 10000
046240,000677: 6662 54117 TS POLISH
046241,000678: 6663 16616 TCF GOTO +1 # WITH ADDRESS IN A.
046242,000679:
046243,000680: 6664 30165 SWBRANCH CA BANKSET # SWITCH INSTRUCTIONS WHICH ELECT TO
046244,000681: 6665 54004 TS FBANK # BRANCH COME HERE TO DO SO.
046245,000682: 6666 50164 INDEX LOC
046246,000683: 6667 30001 CA 1
046247,000684: 6670 54117 TS POLISH
046248,000685: 6671 16616 TCF GOTO +1
046249,000686:
046250,000687: # TRIPLE PRECISION BRANCHING ROUTINE. IF CALLING TC IS AT L, RETURN IS AS FOLLOWS:
046251,000688:
046252,000689: # L+1 IF MPAC IS GREATER THAN ZERO.
046253,000690: # L+2 IF MPAC IS EQUAL TO +0 OR -0.
046254,000691: # L+3 IF MPAC IS LESS THAN ZERO.
046255,000692:
046256,000693: 6672 10154 BRANCH CCS MPAC
046257,000694: 6673 00002 TC Q
046258,000695: 6674 16676 TCF +2 # ON ZERO.
046259,000696: 6675 16710 TCF NEG
046260,000697:
046261,000698: 6676 10155 CCS MPAC +1
046262,000699: 6677 00002 TC Q
046263,000700: 6700 16702 TCF +2
046264,000701: 6701 16710 TCF NEG
046265,000702:
046266,000703: 6702 10156 CCS MPAC +2
046267,000704: 6703 00002 TC Q
046268,000705: 6704 16706 TCF +2
046269,000706: 6705 16710 TCF NEG
046270,000707:
046271,000708: 6706 50002 Q+1 INDEX Q
046272,000709: 6707 00001 TC 1
046273,000710:
046274,000711: 6710 50002 NEG INDEX Q # IF FIRST NON-ZERO REGISTER WAS NEGATIVE.
046275,000712: 6711 00002 TCQ TC 2
046276,000713:
046277,000714: 6712 6710 Q+2 = NEG
046278,000715:
046279,000716: # ITRACE (3) REFERS TO "EXIT".
046280,000717:
046281,000718: 6712 30165 EXIT CA BANKSET # RESTORE USER'S BANK SETTING, AND LEAVE
046282,000719: 6713 54006 TS BBANK # INTERPRETIVE MODE.
046283,000720: 6714 50164 INDEX LOC
046284,000721: 6715 00001 TC 1
046285,000722:
046286,000723: # SECTION 3 - ADD/SUBTRACT PACKAGE.
046287,000724:
046288,000725: # THE FOLLOWING OPERATIONS ARE PROVIDED FOR ADDING TO AND SUBTRACTING FROM THE MULTI-PURPOSE ACCUMULATOR
046289,000726: # MPAC:
046290,000727:
046291,000728: # 1. DAD DOUBLE PRECISION ADD.
046292,000729: # 2. DSU DOUBLE PRECISION SUBTRACT.
046293,000730: # 3. BDSU DOUBLE PRECISION SUBTRACT FROM.
046294,000731:
046295,000732: # 4. TAD TRIPLE PRECISION ADD.
046296,000733:
046297,000734: # 5. VAD VECTOR ADD.
046298,000735: # 6. VSU VECTOR SUBTRACT.
046299,000736: # 7. BVSU VECTOR SUBTRACT FROM.
046300,000737:
046301,000738: # THE INTERPRETIVE OVERFLOW INDICATOR OVFIND IS SET NON-ZERO IF OVERFLOW OCCURS IN ANY OF THE ABOVE.
046302,000739:
046303,000740: 6716 34763 VSU CAF BIT15 # CHANGES 0 TO DCS.
046304,000741: 6717 16721 TCF +2
046305,000742:
046306,000743: 6720 34346 VAD CAF PRIO30 # CHANGES 0 TO DCA.
046307,000744: 6721 26116 ADS ADDRWD
046308,000745: 6722 00006 EXTEND
046309,000746: 6723 50116 INDEX ADDRWD
046310,000747: 6724 00003 READ HISCALAR # DCA 2 OR DCS 2
046311,000748: 6725 20160 DAS MPAC +3
046312,000749: 6726 00006 EXTEND # CHECK OVERFLOW.
046313,000750: 6727 16731 BZF +2
046314,000751: 6730 06763 TC OVERFLWY
046315,000752:
046316,000753: 6731 00006 EXTEND
046317,000754: 6732 50116 INDEX ADDRWD
046318,000755: 6733 00005 READ CHAN5 # DCA 4 OR DCS 4
046319,000756: 6734 20162 DAS MPAC +5
046320,000757: 6735 00006 EXTEND
046321,000758: 6736 16740 BZF +2
046322,000759: 6737 06760 TC OVERFLWZ
046323,000760:
046324,000761: 6740 00006 EXTEND
046325,000762: 6741 50116 INDEX ADDRWD
046326,000763: 6742 00001 READ LCHAN # DCA 0 OR DCS 0
046327,000764: 6743 16747 TCF ENDVXV
046328,000765:
046329,000766: 6744 00006 DAD EXTEND
046330,000767: 6745 50116 INDEX ADDRWD
046331,000768: 6746 30001 DCA 0
046332,000769: 6747 20155 ENDVXV DAS MPAC # VXV FINISHES HERE.
046333,000770: 6750 00006 EXTEND
046334,000771: 6751 16030 BZF DANZIG
046335,000772:
046336,000773: 6752 06766 SETOVF TC OVERFLOW
046337,000774: 6753 16030 TCF DANZIG
046338,000775:
046339,000776: 6754 00006 DSU EXTEND
046340,000777: 6755 50116 INDEX ADDRWD
046341,000778: 6756 40001 DCS 0
046342,000779: 6757 16747 TCF ENDVXV
046343,000780:
046344,000781: 6760 54001 OVERFLWZ TS L # ENTRY FOR THIRD COMPONENT.
046345,000782: 6761 35004 CAF FIVE
046346,000783: 6762 16765 TCF +3
046347,000784:
046348,000785: 6763 54001 OVERFLWY TS L # ENTRY FOR SECOND COMPONENT.
046349,000786: 6764 36214 CAF THREE
046350,000787: 6765 56001 XCH L
046351,000788:
046352,000789: 6766 50000 OVERFLOW INDEX A # ENTRY FOR 1ST COMP OR DP (L=0).
046353,000790: 6767 44762 CS LIMITS # PICK UP POSMAX OR NEGMAX.
046354,000791: 6770 54130 TS BUF
046355,000792: 6771 00006 EXTEND
046356,000793: 6772 24000 AUG A
046357,000794: 6773 50001 INDEX L
046358,000795: 6774 26155 ADS MPAC +1
046359,000796: 6775 54007 TS 7
046360,000797: 6776 35003 CAF ZERO
046361,000798: 6777 60130 AD BUF
046362,000799: 7000 50001 INDEX L
046363,000800: 7001 26154 ADS MPAC
046364,000801: 7002 54007 TS 7
046365,000802: 7003 00002 TC Q # NO OVERFLOW EXIT.
046366,000803: 7004 17121 TCF SETOVF2 # SET OVFIND AND EXIT.
046367,000804:
046368,000805: 7005 00006 BVSU EXTEND
046369,000806: 7006 50116 INDEX ADDRWD
046370,000807: 7007 30003 DCA 2
046371,000808: 7010 52160 DXCH MPAC +3
046372,000809: 7011 00006 EXTEND
046373,000810: 7012 40001 DCOM
046374,000811: 7013 20160 DAS MPAC +3
046375,000812: 7014 00006 EXTEND
046376,000813: 7015 17017 BZF +2
046377,000814: 7016 06763 TC OVERFLWY
046378,000815:
046379,000816: 7017 00006 EXTEND
046380,000817: 7020 50116 INDEX ADDRWD
046381,000818: 7021 30005 DCA 4
046382,000819: 7022 52162 DXCH MPAC +5
046383,000820: 7023 00006 EXTEND
046384,000821: 7024 40001 DCOM
046385,000822: 7025 20162 DAS MPAC +5
046386,000823: 7026 00006 EXTEND
046387,000824: 7027 17031 BZF +2
046388,000825: 7030 06760 TC OVERFLWZ
046389,000826:
046390,000827: 7031 00006 BDSU EXTEND
046391,000828: 7032 50116 INDEX ADDRWD
046392,000829: 7033 30001 DCA 0
046393,000830: 7034 52155 DXCH MPAC
046394,000831: 7035 00006 EXTEND
046395,000832: 7036 40001 DCOM
046396,000833: 7037 16747 TCF ENDVXV
046397,000834:
046398,000835: # TRIPLE PRECISION ADD ROUTINE.
046399,000836:
046400,000837: 7040 00006 TAD EXTEND
046401,000838: 7041 50116 INDEX ADDRWD
046402,000839: 7042 30002 DCA 1 # ADD MINOR PARTS FIRST.
046403,000840: 7043 20156 DAS MPAC +1
046404,000841: 7044 50116 INDEX ADDRWD
046405,000842: 7045 60000 AD 0
046406,000843: 7046 60154 AD MPAC
046407,000844: 7047 54154 TS MPAC
046408,000845: 7050 16030 TCF DANZIG
046409,000846:
046410,000847: 7051 16752 TCF SETOVF # SET OVFIND IF SUCH OCCURS.
046411,000848:
046412,000849: # ARITHMETIC SUBROUTINES REQUIRED IN FIXED-FIXED.
046413,000850:
046414,000851: # 1. DMPSUB DOUBLE PRECISION MULTIPLY. MULTIPLY THE CONTENTS OF MPAC,+1 BY THE DP WORD WHOSE ADDRESS
046415,000852: # IS IN ADDRWD AND LEAVE A TRIPLE PRECISION RESULT IN MPAC.
046416,000853: # 2. ROUNDSUB ROUND THE TRIPLE PRECISON CONTENTS OF MPAC TO DOUBLE PRECISION.
046417,000854: # 3. DOTSUB TAKE THE DOT PRODUCT OF THE VECTOR IN MPAC AND THE VECTOR WHOSE ADDRESS IS IN ADDRWD
046418,000855: # AND LEAVE THE TRIPLE PRECISION RESULT IN MPAC.
046419,000856: # 4. POLY USING THE CONTENTS OF MPAC AS A DP ARGUMENT, EVALUATE THE POLYNOMIAL WHOSE DEGREE AND
046420,000857: # COEFFICIENTS IMMEDIATELY FOLLOW THE TC POLY INSTRUCTION (SEE ROUTINE FOR DETAILS.)
046421,000858:
046422,000859: 7052 50002 DMP INDEX Q # BASIC SUBROUTINE FOR USE BY PINBALL, ETC
046423,000860: 7053 30000 CAF 0 # ADRES OF ARGUMENT FOLLOWS TC DMP .
046424,000861: 7054 24002 INCR Q
046425,000862: 7055 54116 -1 TS ADDRWD # (PROLOGUE FOR SETTING ADDRWD.)
046426,000863:
046427,000864: 7056 50116 DMPSUB INDEX ADDRWD # GET MINOR PART OF OPERAND AT C(ADDRWD).
046428,000865: 7057 30001 CA 1
046429,000866: 7060 54156 TS MPAC +2 # THIS WORKS FOR SQUARING MPAC AS WELL.
046430,000867: 7061 35003 CAF ZERO # SET MPAC +1 TO ZERO SO WE CAN ACCUMULATE
046431,000868: 7062 56155 XCH MPAC +1 # THE PARTIAL PRODUCTS WITH DAS
046432,000869: 7063 54135 TS MPTEMP # INSTRUCTIONS.
046433,000870: 7064 00006 EXTEND
046434,000871: 7065 70156 MP MPAC +2 # MINOR OF MPAC X MINOR OF C(ADDRWD).
046435,000872:
046436,000873: 7066 56156 XCH MPAC +2 # DISCARD MINOR PART OF ABOVE RESULT AND
046437,000874: 7067 00006 EXTEND # FORM MAJOR OF MPAC X MINOR OF C(ADDRWD).
046438,000875: 7070 70154 MP MPAC
046439,000876: 7071 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW.
046440,000877:
046441,000878: 7072 50116 INDEX ADDRWD # GET MAJOR PART OF ARGUMENT AT C(ADDRWD).
046442,000879: 7073 30000 CA 0
046443,000880: 7074 56135 XCH MPTEMP # SAVE AND BRING OUT MINOR OF MPAC.
046444,000881: 7075 00006 DMPSUB2 EXTEND
046445,000882: 7076 70135 MP MPTEMP # MAJOR OF C(ADDRWD) X MINOR OF MPAC.
046446,000883: 7077 20156 DAS MPAC +1 # ACCUMULATE, SETTING A TO NET OVERFLOW.
046447,000884:
046448,000885: 7100 56154 XCH MPAC # SETTING MPAC TO 0 OR +-1.
046449,000886: 7101 00006 EXTEND
046450,000887: 7102 70135 MP MPTEMP # MAJOR OF MPAC X MAJOR OF C(ADDRWD).
046451,000888: 7103 20155 DAS MPAC # GUARANTEED NO OVERFLOW.
046452,000889: 7104 00002 TC Q # 49 MCT = .573 MS. INCLUDING RETURN.
046453,000890:
046454,000891: # ROUND MPAC TO DOUBLE PRECISION, SETTING OVFIND ON THE RARE EVENT OF OVERFLOW.
046455,000892:
046456,000893: 7105 35003 ROUNDSUB CAF ZERO # SET MPAC +2 = 0 FOR SCALARS AND CHANGE
046457,000894: 7106 54163 +1 TS MODE # MODE TO DP.
046458,000895:
046459,000896: 7107 56156 VROUND XCH MPAC +2 # BUT WE NEEDNT TAKE THE TIME FOR VECTORS.
046460,000897: 7110 60000 DOUBLE
046461,000898: 7111 54001 TS L
046462,000899: 7112 00002 TC Q
046463,000900:
046464,000901: 7113 60155 AD MPAC +1 # ADD ROUNDING BIT IF MPAC +2 WAS GREATER
046465,000902: 7114 54155 TS MPAC +1 # THAN .5 IN MAGNITUDE.
046466,000903: 7115 00002 TC Q
046467,000904:
046468,000905: 7116 60154 AD MPAC # PROPAGATE INTERFLOW.
046469,000906: 7117 54154 TS MPAC
046470,000907: 7120 00002 TC Q
046471,000908:
046472,000909: 7121 54121 SETOVF2 TS OVFIND # (RARE).
046473,000910: 7122 00002 TC Q
046474,000911:
046475,000912: # THE DOT PRODUCT SUBROUTINE USUALLY FORMS THE DOT PRODUCT OF THE VECTOR IN MPAC WITH A STANDARD SIX
046476,000913: # REGISTER VECTOR WHOSE ADDRESS IS IN ADDRWD. IN THIS CASE C(DOTINC) ARE SET TO 2. VXM, HOWEVER, SETS C(DOTINC) TO
046477,000914: # 6 SO THAT DOTSUB DOTS MPAC WITH A COLUMN VECTOR OF THE MATRIX IN QUESTION IN THIS CASE.
046478,000915:
046479,000916: 7123 35000 PREDOT CAF TWO # PROLOGUE TO SET DOTINC TO 2.
046480,000917: 7124 54136 TS DOTINC
046481,000918:
046482,000919: 7125 00006 DOTSUB EXTEND
046483,000920: 7126 22137 QXCH DOTRET # SAVE RETURN.
046484,000921: 7127 07056 TC DMPSUB # DOT X COMPONENTS.
046485,000922: 7130 52160 DXCH MPAC +3 # POSITION Y COMPONENT OF MPAC FOR
046486,000923: 7131 52155 DXCH MPAC # MULTIPLICATION WHILE SAVING RESULT IN
046487,000924: 7132 52131 DXCH BUF # THREE WORD BUFFER, BUF.
046488,000925: 7133 30156 CA MPAC +2
046489,000926: 7134 54132 TS BUF +2
046490,000927:
046491,000928: 7135 30136 CA DOTINC # ADVANCE ADDRWD TO Y COMPONENT OF
046492,000929: 7136 26116 ADS ADDRWD # OTHER ARGUMENT.
046493,000930: 7137 07056 TC DMPSUB
046494,000931: 7140 52156 DXCH MPAC +1 # ACCUMULATE PARTIAL PRODUCTS.
046495,000932: 7141 20132 DAS BUF +1
046496,000933: 7142 60154 AD MPAC
046497,000934: 7143 60130 AD BUF
046498,000935: 7144 54130 TS BUF
046499,000936: 7145 17147 TCF +2
046500,000937: 7146 54121 TS OVFIND # IF OVERFLOW OCCURS.
046501,000938:
046502,000939: 7147 52162 DXCH MPAC +5 # MULTIPLY Z COMPONENTS.
046503,000940: 7150 52155 DXCH MPAC
046504,000941: 7151 30136 CA DOTINC
046505,000942: 7152 26116 ADS ADDRWD
046506,000943: 7153 07056 TC DMPSUB
046507,000944: 7154 52132 ENDDOT DXCH BUF +1 # LEAVE FINAL ACCUMULATION IN MPAC.
046508,000945: 7155 20156 DAS MPAC +1
046509,000946: 7156 60154 AD MPAC
046510,000947: 7157 60130 AD BUF
046511,000948: 7160 54154 TS MPAC
046512,000949: 7161 00137 TC DOTRET
046513,000950:
046514,000951: 7162 06766 TC OVERFLOW # ON OVERFLOW HERE.
046515,000952: 7163 00137 TC DOTRET
046516,000953:
046517,000954: # DOUBLE PRECISION POLYNOMIAL EVALUATOR
046518,000955:
046519,000956: # N N-1
046520,000957: # THIS ROUTINE EVALUATES A X + A X + ... + A X + A LEAVING THE DP RESULT IN MPAC ON EXIT.
046521,000958: # N N-1 1 0
046522,000959:
046523,000960: # THE ROUTINE HAS TWO ENTRIES
046524,000961:
046525,000962: # 1. ENTRY THRU POWRSERS. THE COEFFICIENTS MAY BE EITHER IN FIXED OR ERASABLE, THE CALL IS BY
046526,000963: # TC POWRSERS, AND THE RETURN IS TO LOC(TC POWRSERS)+1. THE ENTERING DATA MUST BE AS FOLLOWS
046527,000964:
046528,000965: # A SP LOC-3 ADDRESS FOR REFERENCING COEF TABLE
046529,000966: # L SP N-1 N IS THE DEGREE OF THE POWER SERIES
046530,000967: # MPAC DP X ARGUMENT
046531,000968:
046532,000969: # LOC-2N DP A(0)
046533,000970: # ...
046534,000971: # LOC DP A(N)
046535,000972:
046536,000973: # 2. ENTRY THRU POLY. THE CALL TO POLY AND THE ENTERING DATA MUST BE AS FOLLOWS
046537,000974:
046538,000975: # MPAC DP X ARGUMENT
046539,000976:
046540,000977: # LOC TC POLY
046541,000978: # LOC+1 SP N-1
046542,000979: # LOC+2 DP A(0)
046543,000980: # ...
046544,000981: # LOC+2N+2 DP A(N) RETURN IS TO LOC+2N+4
046545,000982:
046546,000983: 7164 00006 POWRSERS EXTEND
046547,000984: 7165 22141 QXCH POLYRET # RETURN ADDRESS
046548,000985: 7166 54117 TS POLISH # POWER SERIES ADDRESS
046549,000986: 7167 22140 LXCH POLYCNT # N-1 TO COUNTER
046550,000987: 7170 17201 TCF POLYCOM # SKIP SET UP BY POLY
046551,000988:
046552,000989: 7171 50002 POLY INDEX Q
046553,000990: 7172 30000 CAF 0
046554,000991: 7173 54140 TS POLYCNT # N-1 TO COUNTER
046555,000992: 7174 60000 DOUBLE
046556,000993: 7175 60002 AD Q
046557,000994: 7176 54117 TS POLISH # L(A(N))-3 TO POLISH
046558,000995: 7177 65004 AD FIVE
046559,000996: 7200 54141 TS POLYRET # STORE RETURN ADDRESS
046560,000997:
046561,000998: 7201 36242 POLYCOM CAF LVBUF # INCOMING X WILL BE MOVED TO VBUF, SO
046562,000999: 7202 54116 TS ADDRWD # SET ADDRWD SO DMPSUB WILL MPY BY VBUF.
046563,001000:
046564,001001: 7203 00006 EXTEND
046565,001002: 7204 50117 INDEX POLISH
046566,001003: 7205 30004 DCA 3
046567,001004: 7206 52155 DXCH MPAC # LOAD A(N) INTO MPAC,
046568,001005: 7207 52123 DXCH VBUF # SAVING X IN VBUF
046569,001006: 7210 17214 TCF POLY2
046570,001007:
046571,001008: 7211 54140 POLYLOOP TS POLYCNT # SAVE DECREMENTED LOOP COUNTER
046572,001009: 7212 45000 CS TWO
046573,001010: 7213 26117 ADS POLISH # REGRESS COEFFICIENT POINTER
046574,001011:
046575,001012: 7214 07056 POLY2 TC DMPSUB # MULTIPLY BY X
046576,001013: 7215 00006 EXTEND
046577,001014: 7216 50117 INDEX POLISH
046578,001015: 7217 30002 DCA 1 # ADD IN NEXT COEFFICIENT
046579,001016: 7220 20155 DAS MPAC # USERS RESPONSIBILITY TO ASSURE NO OVFLOW
046580,001017:
046581,001018: 7221 10140 CCS POLYCNT
046582,001019: 7222 17211 TCF POLYLOOP
046583,001020: 7223 00141 TC POLYRET # RETURN CALLER
046584,001021:
046585,001022: # MISCELLANEOUS MULTI-PRECISION ROUTINES REQUIRED IN FIXED-FIXED BUT NOT USED BY THE INTERPRETER.
046586,001023:
046587,001024: 7224 35003 DPAGREE CAF ZERO # DOUBLE PRECISION ENTRY -
046588,001025: 7225 54156 BUFAGREE TS MPAC +2 # ZERO LOW-ORDER WORD
046589,001026: 7226 22002 TPAGREE LXCH Q # FORCE SIGN AGREEMENT AMONG THE TRIPLE
046590,001027: 7227 06672 TC BRANCH # PRECISION CONTENTS OF MPAC. RETURNING
046591,001028: 7230 17234 TCF ARG+ # WITH SIGNUM OF THE INPUT IN A.
046592,001029: 7231 17254 TCF ARGZERO
046593,001030:
046594,001031: 7232 44761 CS POSMAX # IF NEGATIVE.
046595,001032: 7233 17235 TCF +2
046596,001033:
046597,001034: 7234 34761 ARG+ CAF POSMAX
046598,001035: 7235 54002 TS Q
046599,001036: 7236 00006 EXTEND
046600,001037: 7237 24000 AUG A # FORMS +-1.0.
046601,001038: 7240 60156 AD MPAC +2
046602,001039: 7241 54156 TS MPAC +2
046603,001040: 7242 35003 CAF ZERO
046604,001041: 7243 60002 AD Q
046605,001042: 7244 60155 AD MPAC +1
046606,001043: 7245 54155 TS MPAC +1
046607,001044: 7246 35003 CAF ZERO
046608,001045: 7247 60002 AD Q # Q STILL HAS POSMAX OR NEGMAX IN IT.
046609,001046: 7250 60154 AD MPAC
046610,001047: 7251 54154 ARGZERO2 TS MPAC # ALWAYS SKIPPING UNLESS ARGZERO.
046611,001048: 7252 54155 TS MPAC +1
046612,001049: 7253 00001 TC L # RETURN VIA L.
046613,001050:
046614,001051: 7254 54156 ARGZERO TS MPAC +2 # SET ALL THREE MPAC REGISTERS TO ZERO.
046615,001052: 7255 17251 TCF ARGZERO2
046616,001053:
046617,001054: # SHORTMP MULTIPLIES THE TP CONTENTS OF MPAC BY THE SINGLE PRECISION NUMBER ARRIVING IN A.
046618,001055:
046619,001056: 7256 54135 SHORTMP TS MPTEMP
046620,001057: 7257 00006 +1 EXTEND
046621,001058: 7260 70156 MP MPAC +2
046622,001059: 7261 54156 TS MPAC +2
046623,001060: 7262 35003 SHORTMP2 CAF ZERO # SO SUBSEQUENT DAS WILL WORK.
046624,001061: 7263 56155 XCH MPAC +1
046625,001062: 7264 17075 TCF DMPSUB2
046626,001063:
046627,001064: # MISCELLANEOUS VECTOR OPERATIONS. INCLUDED HERE ARE THE FOLLOWING:
046628,001065:
046629,001066: # 1. DOT DP VECTOR DOT PRODUCT.
046630,001067: # 2. VXV DP VECTOR CROSS PRODUCT.
046631,001068: # 3. VXSC DP VECTOR TIMES SCALAR.
046632,001069: # 4. V/SC DP VECTOR DIVIDED BY SCALAR.
046633,001070: # 5. VPROJ DP VECTOR PROJECTION. ( (MPAC.X)MPAC ).
046634,001071: # 6. VXM DP VECTOR POST-MULTIPLIED BY MATRIX.
046635,001072: # 7. MXV DP VECTOR PRE-MULTIPLIED BY MATRIX.
046636,001073:
046637,001074: 7265 07123 DOT TC PREDOT # DO THE DOT PRODUCT AND EXIT, CHANGING
046638,001075: 7266 35003 DMODE CAF ZERO # THE MODE TO DP SCALAR.
046639,001076: 7267 16027 TCF NEWMODE
046640,001077:
046641,001078: 7270 35000 MXV CAF TWO # SET UP MATINC AND DOTINC FOR ROW
046642,001079: 7271 54140 TS MATINC # VECTORS.
046643,001080: 7272 17276 TCF VXM/MXV # GO TO COMMON PORTION.
046644,001081:
046645,001082: 7273 44355 VXM CS TEN # SET MATINC AND DOTINC TO REFER TO MATRIX
046646,001083: 7274 54140 TS MATINC # AS THREE COLUMN VECTORS.
046647,001084: 7275 36211 CAF SIX
046648,001085:
046649,001086: # COMMON PORTION OF MXV AND VXM.
046650,001087:
046651,001088: 7276 54136 VXM/MXV TS DOTINC
046652,001089:
046653,001090: # ITRACE (2) REFERS TO "VXM/MXV".
046654,001091:
046655,001092: 7277 07466 TC MPACVBUF # SAVE VECTOR IN MPAC FOR FURTHER USE.
046656,001093:
046657,001094: 7300 07125 TC DOTSUB # GO DOT TO GET X COMPONENT OF ANSWER.
046658,001095: 7301 00006 EXTEND
046659,001096: 7302 30123 DCA VBUF # MOVE MPAC VECTOR BACK INTO MPAC, SAVING
046660,001097: 7303 52155 DXCH MPAC # NEW X COMPONENT IN BUF2.
046661,001098: 7304 52134 DXCH BUF2
046662,001099: 7305 00006 EXTEND
046663,001100: 7306 30125 DCA VBUF +2
046664,001101: 7307 52160 DXCH MPAC +3
046665,001102: 7310 00006 EXTEND
046666,001103: 7311 30127 DCA VBUF +4
046667,001104: 7312 52162 DXCH MPAC +5
046668,001105: 7313 30140 CA MATINC # INITIALIZE ADDRWD FOR NEXT DOT PRODUCT.
046669,001106: 7314 26116 ADS ADDRWD # FORMS BASE ADDRESS OF NEXT COLUMN(ROW).
046670,001107:
046671,001108: 7315 07125 TC DOTSUB
046672,001109: 7316 52123 DXCH VBUF # MOVE GIVEN VECTOR BACK TO MPAC, SAVING Y
046673,001110: 7317 52155 DXCH MPAC # COMPONENT OF ANSWER IN VBUF +2.
046674,001111: 7320 52125 DXCH VBUF +2
046675,001112: 7321 52160 DXCH MPAC +3
046676,001113: 7322 52127 DXCH VBUF +4
046677,001114: 7323 52162 DXCH MPAC +5
046678,001115: 7324 30140 CA MATINC # FORM ADDRESS OF LAST COLUMN OR ROW.
046679,001116: 7325 26116 ADS ADDRWD
046680,001117:
046681,001118: 7326 07125 TC DOTSUB
046682,001119: 7327 52134 DXCH BUF2 # ANSWER NOW COMPLETE. PUT COMPONENTS INTO
046683,001120: 7330 52155 DXCH MPAC # PROPER MPAC REGISTERS.
046684,001121: 7331 52162 DXCH MPAC +5
046685,001122: 7332 52125 DXCH VBUF +2
046686,001123: 7333 52160 DXCH MPAC +3
046687,001124: 7334 16030 TCF DANZIG # EXIT.
046688,001125:
046689,001126: # VXSC - VECTOR TIMES SCALAR.
046690,001127:
046691,001128: 7335 10163 VXSC CCS MODE # TEST PRESENT MODE.
046692,001129: 7336 17364 TCF DVXSC # SEPARATE ROUTINE WHEN SCALAR IS IN MPAC.
046693,001130: 7337 17364 TCF DVXSC
046694,001131:
046695,001132: 7340 07056 VVXSC TC DMPSUB # COMPUTE X COMPONENT
046696,001133: 7341 07107 TC VROUND # AND ROUND IT.
046697,001134: 7342 52160 DXCH MPAC +3 # PUT Y COMPONENT INTO MPAC SAVING MPAC IN
046698,001135: 7343 52155 DXCH MPAC # MPAC +3.
046699,001136: 7344 52160 DXCH MPAC +3
046700,001137:
046701,001138: 7345 07056 TC DMPSUB # DO SAME FOR Y AND Z COMPONENTS.
046702,001139: 7346 07107 TC VROUND
046703,001140: 7347 52162 DXCH MPAC +5
046704,001141: 7350 52155 DXCH MPAC
046705,001142: 7351 52162 DXCH MPAC +5
046706,001143:
046707,001144: 7352 07056 TC DMPSUB
046708,001145: 7353 07107 TC VROUND
046709,001146: 7354 52155 VROTATEX DXCH MPAC # EXIT USED TO RESTORE MPAC AFTER THIS
046710,001147: 7355 52162 DXCH MPAC +5 # TYPE OF ROTATION. CALLED BY VECTOR SHIFT
046711,001148: 7356 52160 DXCH MPAC +3 # RIGHT, V/SC, ETC.
046712,001149: 7357 52155 DXCH MPAC
046713,001150: 7360 16030 TCF DANZIG
046714,001151:
046715,001152: # DP VECTOR PROJECTION ROUTINE.
046716,001153:
046717,001154: 7361 07123 VPROJ TC PREDOT # (MPAC.X)MPAC IS COMPUTED AND LEFT IN
046718,001155: 7362 44777 CS FOUR # MPAC. DO DOT AND FALL INTO DVXSC.
046719,001156: 7363 26116 ADS ADDRWD
046720,001157:
046721,001158: # VXSC WHEN SCALAR ARRIVES IN MPAC AND VECTOR IS AT X.
046722,001159:
046723,001160: 7364 00006 DVXSC EXTEND # SAVE SCALAR IN MPAC +3 AND GET X
046724,001161: 7365 30155 DCA MPAC # COMPONENT OF ANSWER.
046725,001162: 7366 52160 DXCH MPAC +3
046726,001163: 7367 07056 TC DMPSUB
046727,001164: 7370 07107 TC VROUND
046728,001165:
046729,001166: 7371 35000 CAF TWO # ADVANCE ADDRWD TO Y COMPONENT OF X.
046730,001167: 7372 26116 ADS ADDRWD
046731,001168: 7373 00006 EXTEND
046732,001169: 7374 30160 DCA MPAC +3 # PUT SCALAR BACK INTO MPAC AND SAVE
046733,001170: 7375 52155 DXCH MPAC # X RESULT IN MPAC +5.
046734,001171: 7376 52162 DXCH MPAC +5
046735,001172: 7377 07056 TC DMPSUB
046736,001173: 7400 07107 TC VROUND
046737,001174:
046738,001175: 7401 35000 CAF TWO
046739,001176: 7402 26116 ADS ADDRWD # TO Z COMPONENT.
046740,001177: 7403 52160 DXCH MPAC +3 # BRING SCALAR BACK, PUTTING Y RESULT IN
046741,001178: 7404 52155 DXCH MPAC # THE PROPER PLACE.
046742,001179: 7405 52160 DXCH MPAC +3
046743,001180: 7406 07056 TC DMPSUB
046744,001181: 7407 07107 TC VROUND
046745,001182:
046746,001183: 7410 52155 DXCH MPAC # PUT Z COMPONENT IN PROPER PLACE, ALSO
046747,001184: 7411 52162 DXCH MPAC +5 # POSITIONING X.
046748,001185: 7412 52155 DXCH MPAC
046749,001186:
046750,001187: 7413 16470 TCF VMODE # MODE HAS CHANGED TO VECTOR.
046751,001188:
046752,001189: # THE VECTOR CROSS PRODUCT ROUTINE CALCULATES (X M -X M ,X M -X M ,X M -X M ) WHERE M IS THE VECTOR IN
046753,001190: # 3 2 2 3 1 3 3 1 2 1 1 2
046754,001191: # MPAC AND X THE VECTOR AT THE GIVEN ADDRESS.
046755,001192:
046756,001193: 7414 00006 VXV EXTEND
046757,001194: 7415 30162 DCA MPAC +5 # FORM UP M3X1, LEAVING M1 IN VBUF.
046758,001195: 7416 52155 DXCH MPAC
046759,001196: 7417 52123 DXCH VBUF
046760,001197: 7420 07056 TC DMPSUB # BY X1.
046761,001198:
046762,001199: 7421 00006 EXTEND
046763,001200: 7422 40160 DCS MPAC +3 # CALCULATE -X1M2, SAVING X1M3 IN VBUF +2.
046764,001201: 7423 52155 DXCH MPAC
046765,001202: 7424 52125 DXCH VBUF +2
046766,001203: 7425 07056 TC DMPSUB
046767,001204:
046768,001205: 7426 35000 CAF TWO # ADVANCE ADDRWD TO X2.
046769,001206: 7427 26116 ADS ADDRWD
046770,001207: 7430 00006 EXTEND
046771,001208: 7431 40162 DCS MPAC +5 # PREPARE TO GET -X2M3, SAVING -X1M2 IN
046772,001209: 7432 52155 DXCH MPAC # MPAC +5.
046773,001210: 7433 52162 DXCH MPAC +5
046774,001211: 7434 07056 TC DMPSUB
046775,001212:
046776,001213: 7435 00006 EXTEND
046777,001214: 7436 30123 DCA VBUF # GET X2M1, SAVING -X2M3 IN VBUF +4.
046778,001215: 7437 52155 DXCH MPAC
046779,001216: 7440 52127 DXCH VBUF +4
046780,001217: 7441 07056 TC DMPSUB
046781,001218:
046782,001219: 7442 35000 CAF TWO # ADVANCE ADDRWD TO X3.
046783,001220: 7443 26116 ADS ADDRWD
046784,001221: 7444 00006 EXTEND
046785,001222: 7445 40123 DCS VBUF # GET -X3M1, ADDING X2M1 TO MPAC +5 TO
046786,001223: 7446 52155 DXCH MPAC # COMPLETE THE Z COMPONENT OF THE ANSWER.
046787,001224: 7447 20162 DAS MPAC +5
046788,001225:
046789,001226: 7450 00006 EXTEND
046790,001227: 7451 17453 BZF +2
046791,001228: 7452 06760 TC OVERFLWZ
046792,001229:
046793,001230: 7453 07056 TC DMPSUB
046794,001231: 7454 52125 DXCH VBUF +2 # MOVE X1M3 TO MPAC +3 SETTING UP FOR X3M2
046795,001232: 7455 52160 DXCH MPAC +3 # AND ADD -X3M1 TO MPAC +3 TO COMPLETE THE
046796,001233: 7456 52155 DXCH MPAC # Y COMPONENT OF THE RESULT.
046797,001234: 7457 20160 DAS MPAC +3
046798,001235:
046799,001236: 7460 00006 EXTEND
046800,001237: 7461 17463 BZF +2
046801,001238: 7462 06763 TC OVERFLWY
046802,001239:
046803,001240: 7463 07056 TC DMPSUB
046804,001241: 7464 52127 DXCH VBUF +4 # GO ADD -X2M3 TO X3M2 TO COMPLETE THE X
046805,001242: 7465 16747 TCF ENDVXV # COMPONENT (TAIL END OF DAD).
046806,001243:
046807,001244: # THE MPACVBUF SUBROUTINE SAVES THE VECTOR IN MPAC IN VBUF WITHOUT CLOBBERING MPAC.
046808,001245:
046809,001246: 7466 00006 MPACVBUF EXTEND # CALLED BY MXV, VXM, AND UNIT.
046810,001247: 7467 30155 DCA MPAC
046811,001248: 7470 52123 DXCH VBUF
046812,001249: 7471 00006 EXTEND
046813,001250: 7472 30160 DCA MPAC +3
046814,001251: 7473 52125 DXCH VBUF +2
046815,001252: 7474 00006 EXTEND
046816,001253: 7475 30162 DCA MPAC +5
046817,001254: 7476 52127 DXCH VBUF +4
046818,001255: 7477 00002 TC Q # RETURN TO CALLER.
046819,001256:
046820,001257: # DOUBLE PRECISION SIGN AGREE ROUTINE. ARRIVE WITH INPUT IN A+L. OUTPUT IS IN A + L.
046821,001258:
046822,001259: 7500 10000 ALSIGNAG CCS A # TEST UPPER PART.
046823,001260: 7501 17505 TCF UPPOS # IT IS POSITIVE
046824,001261: 7502 00002 TC Q # ZERO
046825,001262: 7503 17515 TCF UPNEG # NEGATIVE
046826,001263: 7504 00002 TC Q # ZERO
046827,001264:
046828,001265: 7505 56001 UPPOS XCH L # SAVE DECREMENTED UPPER PART.
046829,001266: 7506 64764 AD HALF
046830,001267: 7507 64764 AD HALF
046831,001268: 7510 54000 TS A # SKIPS ON OVERFLOW
046832,001269: 7511 17513 TCF +2
046833,001270: 7512 24001 INCR L # RESTORE UPPER TO ROIGINAL VALUE
046834,001271: 7513 56001 XCH L # SWAP A + L BACK.
046835,001272: 7514 00002 TC Q
046836,001273:
046837,001274: 7515 56001 UPNEG XCH L # SAVE COMPLEMENTED + DECREMENTED UPPER PT
046838,001275: 7516 64763 AD NEGMAX
046839,001276: 7517 67702 AD NEGONE
046840,001277: 7520 54000 TS A
046841,001278: 7521 17523 TCF +2 # DONT INCREMENT IF NO OVERFLOW.
046842,001279: 7522 24001 INCR L
046843,001280: 7523 56001 XCH L
046844,001281: 7524 40000 COM # MAKE NEGATIVE AGAIN.
046845,001282: 7525 00002 TC Q
046846,001283:
046847,001284: # INTERPRETIVE INSTRUCTIONS WHOSE EXECUTION CONSISTS OF PRINCIPALLY CALLING SUBROUTINES.
046848,001285:
046849,001286: 7526 07056 DMP1 TC DMPSUB # DMP INSTRUCTION.
046850,001287: 7527 16030 TCF DANZIG
046851,001288:
046852,001289: 7530 07056 DMPR TC DMPSUB
046853,001290: 7531 07106 TC ROUNDSUB +1 # (C(A) = +0).
046854,001291: 7532 16030 TCF DANZIG
046855,001292:
046856,001293: 7533 00006 DDV EXTEND
046857,001294: 7534 50116 INDEX ADDRWD # MOVE DIVIDEND INTO BUF.
046858,001295: 7535 30001 DCA 0
046859,001296: 7536 17543 TCF BDDV +4
046860,001297:
046861,001298: 7537 00006 BDDV EXTEND # MOVE DIVISOR INTO MPAC SAVING MPAC, THE
046862,001299: 7540 50116 INDEX ADDRWD # DIVIDEND, IN BUF.
046863,001300: 7541 30001 DCA 0
046864,001301: 7542 52155 DXCH MPAC
046865,001302: 7543 52131 +4 DXCH BUF
046866,001303: 7544 35003 CAF ZERO # DIVIDE ROUTINES IN BANK 0.
046867,001304: 7545 54004 TS FBANK
046868,001305: 7546 12353 TCF DDV/BDDV
046869,001306:
046870,001307: 7547 30116 SETPD CA ADDRWD # MUST SET TO WORK AREA, OR EBANK TROUBLE.
046871,001308: 7550 54166 TS PUSHLOC
046872,001309: 7551 16032 TCF NOIBNKSW # NO FBANK SWITCH REQUIRED.
046873,001310:
046874,001311: 7552 35003 TSLC CAF ZERO # SHIFTING ROUTINES LOCATED IN BANK 00.
046875,001312: 7553 54004 TS FBANK
046876,001313: 7554 12172 TCF TSLC2
046877,001314:
046878,001315: 7555 36043 GSHIFT CAF LOW7 # USED AS MASK AT GENSHIFT. THIS PROCESSES
046879,001316: 7556 54004 TS FBANK # ANY SHIFT INSTRUCTION (EXCEPT TSLC) WITH
046880,001317: 7557 12214 TCF GENSHIFT # AN ADDRESS (ROUTINES IN BANK 0).
046881,001318:
046882,001319: # THE FOLLOWING IS THE PROLOGUE TO V/SC. IF THE PRESENT MODE IS VECTOR, IT SAVES THE SCALAR AT X IN BUF
046883,001320: # AND CALLS THE V/SC ROUTINE IN BANK 0. IF THE PRESENT MODE IS SCALAR, IT MOVES THE VECTOR AT X INTO MPAC, SAVING
046884,001321: # THE SCALAR IN MPAC IN BUF BEFORE CALLING THE V/SC ROUTINE IN BANK 0.
046885,001322:
046886,001323: 7560 10163 V/SC CCS MODE
046887,001324: 7561 17572 TCF DV/SC # MOVE VECTOR INTO MPAC.
046888,001325: 7562 17572 TCF DV/SC
046889,001326:
046890,001327: 7563 00006 VV/SC EXTEND
046891,001328: 7564 50116 INDEX ADDRWD
046892,001329: 7565 30001 DCA 0
046893,001330: 7566 52131 V/SC1 DXCH BUF # IN BOTH CASES, VECTOR IS NOW IN MPAC AND
046894,001331: 7567 35003 CAF ZERO # SCALAR IN BUF.
046895,001332: 7570 54004 TS FBANK
046896,001333: 7571 12653 TCF V/SC2
046897,001334:
046898,001335: 7572 00006 DV/SC EXTEND
046899,001336: 7573 50116 INDEX ADDRWD
046900,001337: 7574 30003 DCA 2
046901,001338: 7575 52160 DXCH MPAC +3
046902,001339: 7576 00006 EXTEND
046903,001340: 7577 50116 INDEX ADDRWD
046904,001341: 7600 30005 DCA 4
046905,001342: 7601 52162 DXCH MPAC +5
046906,001343:
046907,001344: 7602 45001 CS ONE # CHANGE MODE TO VECTOR.
046908,001345: 7603 54163 TS MODE
046909,001346:
046910,001347: 7604 00006 EXTEND
046911,001348: 7605 50116 INDEX ADDRWD
046912,001349: 7606 30001 DCA 0
046913,001350: 7607 52155 DXCH MPAC
046914,001351: 7610 17566 TCF V/SC1 # FINISH PROLOGUE AT COMMON SECTION.
046915,001352:
046916,001353: # SIGN AND COMPLEMENT INSTRUCTIONS.
046917,001354:
046918,001355: 7611 50116 SIGN INDEX ADDRWD # CALL COMP INSTRUCTION IF WORD AT X IS
046919,001356: 7612 10000 CCS 0 # NEGATIVE NON-ZERO.
046920,001357: 7613 16030 TCF DANZIG
046921,001358: 7614 17616 TCF +2
046922,001359: 7615 17624 TCF COMP # DO THE COMPLEMENT.
046923,001360:
046924,001361: 7616 50116 INDEX ADDRWD
046925,001362: 7617 10001 CCSL CCS 1
046926,001363: 7620 16030 TCF DANZIG
046927,001364: 7621 16030 TCF DANZIG
046928,001365: 7622 17624 TCF COMP
046929,001366: 7623 16030 TCF DANZIG
046930,001367: 7624 00006 COMP EXTEND # COMPLEMENT DP MPAC IN EVERY CASE.
046931,001368: 7625 40155 DCS MPAC
046932,001369: 7626 52155 DXCH MPAC
046933,001370:
046934,001371: 7627 10163 CCS MODE # EITHER COMPLEMENT MPAC +3 OR THE REST OF
046935,001372: 7630 17641 TCF DCOMP # THE VECTOR ACCUMULATOR.
046936,001373: 7631 17641 TCF DCOMP
046937,001374:
046938,001375: 7632 00006 EXTEND # VECTOR COMPLEMENT.
046939,001376: 7633 40160 DCS MPAC +3
046940,001377: 7634 52160 DXCH MPAC +3
046941,001378: 7635 00006 EXTEND
046942,001379: 7636 40162 DCS MPAC +5
046943,001380: 7637 52162 DXCH MPAC +5
046944,001381: 7640 16030 TCF DANZIG
046945,001382:
046946,001383: 7641 40156 DCOMP CS MPAC +2
046947,001384: 7642 54156 TS MPAC +2
046948,001385: 7643 16030 TCF DANZIG
046949,001386:
046950,001387: # THE FOLLOWING SHORT SHIFT CODES REQUIRE NO ADDRESS WORD:
046951,001388:
046952,001389: # 1. SR1 TO SR4 SCALAR SHIFT RIGHT.
046953,001390: # 2. SR1R TO SR4R SCALAR SHIFT RIGHT AND ROUND.
046954,001391: # 3. SL1 TO SL4 SCALAR SHIFT LEFT.
046955,001392: # 4. SL1R TO SL4R SCALAR SHIFT LEFT AND ROUND.
046956,001393:
046957,001394: # 5. VSR1 TO VSR8 VECTOR SHIFT RIGHT (ALWAYS ROUNDS).
046958,001395: # 6. VSL1 TO VSL8 VECTOR SHIFT LEFT (NEVER ROUNDS).
046959,001396:
046960,001397: # THE FOLLOWING CODES REQUIRE AN ADDRESS WHICH MAY BE INDEXED:*
046961,001398:
046962,001399: # 1. SR SCALAR SHIFT RIGHT.
046963,001400: # 2. SRR SCALAR SHIFT RIGHT AND ROUND.
046964,001401: # 3. SL SCALAR SHIFT LEFT.
046965,001402: # 4. SLR SCALAR SHIFT LEFT AND ROUND.
046966,001403:
046967,001404: # 5. VSR VECTOR SHIFT RIGHT.
046968,001405: # 6. VSL VECTOR SHIFT LEFT.
046969,001406:
046970,001407: # * IF THE ADDRESS IS INDEXED, AND THE INDEX MODIFICATION RESULTS IN A NEGATIVE SHIFT COUNT, A SHIFT OF THE
046971,001408: # ABSOLUTE VALUE OF THE COUNT IS DONE IN THE OPPOSITE DIRECTION.
046972,001409:
046973,001410: 00,2000 SETLOC INTERB0
046974,001411: 00,2000 BANK
046975,001412:
046976,001413: 00,2017 COUNT* $$/INTER
046977,001414: 00,2017 36211 SHORTT CAF SIX # SCALAR SHORT SHIFTS COME HERE. THE SHIFT
046978,001415: 00,2020 70020 MASK CYR # COUNT-1 IS NOW IN BITS 2-3 OF CYR. THE
046979,001416: 00,2021 54021 TS SR # ROUNDING BIT IS IN BIT1 AT THIS POINT.
046980,001417:
046981,001418: 00,2022 10020 CCS CYR # SEE IF RIGHT OR LEFT SHIFT DESIRED.
046982,001419: 00,2023 12101 TCF TSSL # SHIFT LEFT.
046983,001420:
046984,001421: 00,2024 00024 SRDDV DEC 20 B-14 # MPTEMP SETTING FOR SR BEFORE DDV.
046985,001422:
046986,001423: 00,2025 50021 TSSR INDEX SR # GET SHIFTING BIT.
046987,001424: 00,2026 34764 CAF BIT14
046988,001425: 00,2027 54135 TS MPTEMP
046989,001426:
046990,001427: 00,2030 10020 CCS CYR # SEE IF A ROUND IS DESIRED.
046991,001428: 00,2031 02050 RIGHTR TC MPACSRND # YES - SHIFT RIGHT AND ROUND.
046992,001429: 00,2032 16027 TCF NEWMODE # SET MODE TO DP (C(A) = 0).
046993,001430: 00,2033 30135 MPACSHR CA MPTEMP # DO A TRIPLE PRECISION SHIFT RIGHT.
046994,001431: 00,2034 00006 EXTEND
046995,001432: 00,2035 70156 MP MPAC +2
046996,001433: 00,2036 54156 +3 TS MPAC +2 # (EXIT FROM SQRT AND ABVAL).
046997,001434: 00,2037 30135 CA MPTEMP
046998,001435: 00,2040 00006 EXTEND
046999,001436: 00,2041 70154 MP MPAC # SHIFT MAJOR PART INTO A,L AND PLACE IN
047000,001437: 00,2042 52155 DXCH MPAC # MPAC,+1.
047001,001438: 00,2043 30135 CA MPTEMP
047002,001439: 00,2044 00006 EXTEND
047003,001440: 00,2045 70001 MP L # ORIGINAL C(MPAC +1).
047004,001441: 00,2046 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW.
047005,001442: 00,2047 16030 TCF DANZIG
047006,001443:
047007,001444: # MPAC SHIFT RIGHT AND ROUND SUBROUTINES.
047008,001445:
047009,001446: 00,2050 30156 MPACSRND CA MPAC +2 # WE HAVE TO DO ALL THREE MULTIPLIES SINCE
047010,001447: 00,2051 00006 EXTEND # MPAC +1 AND MPAC +2 MIGHT HAVE SIGN
047011,001448: 00,2052 70135 MP MPTEMP # DISAGREEMENT WITH A SHIFT RIGHT OF 1.
047012,001449: 00,2053 56155 XCH MPAC +1
047013,001450: 00,2054 00006 EXTEND
047014,001451: 00,2055 70135 MP MPTEMP
047015,001452: 00,2056 56155 XCH MPAC +1 # TRIAL MINOR PART.
047016,001453: 00,2057 60001 AD L
047017,001454:
047018,001455: 00,2060 60000 VSHR2 DOUBLE # (FINISH VECTOR COMPONENT SHIFT RIGHT
047019,001456: 00,2061 54156 TS MPAC +2 # AND ROUND.
047020,001457: 00,2062 12064 TCF +2
047021,001458: 00,2063 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW.
047022,001459:
047023,001460: 00,2064 35003 CAF ZERO
047024,001461: 00,2065 54156 TS MPAC +2
047025,001462: 00,2066 56154 XCH MPAC # SETTING TO ZERO SO FOLLOWING DAS WORKS.
047026,001463: 00,2067 00006 EXTEND
047027,001464: 00,2070 70135 MP MPTEMP
047028,001465: 00,2071 20155 DAS MPAC # AGAIN NO OVERFLOW.
047029,001466: 00,2072 00002 TC Q
047030,001467:
047031,001468: 00,2073 30135 VSHRRND CA MPTEMP # ENTRY TO SHIFT RIGHT AND ROUND MPAC WHEN
047032,001469: 00,2074 00006 EXTEND # MPAC CONTAINS A VECTOR COMPONENT.
047033,001470: 00,2075 70155 MP MPAC +1
047034,001471: 00,2076 54155 TS MPAC +1
047035,001472: 00,2077 56001 XCH L
047036,001473: 00,2100 12060 TCF VSHR2 # GO ADD ONE IF NECESSARY AND FINISH.
047037,001474:
047038,001475: # ROUTINE FOR SHORT SCALAR SHIFT LEFT (AND MAYBE ROUND).
047039,001476:
047040,001477: 00,2101 30021 TSSL CA SR # GET SHIFT COUNT FOR SR.
047041,001478: 00,2102 54135 +1 TS MPTEMP
047042,001479:
047043,001480: 00,2103 00006 +2 EXTEND # ENTRY HERE FROM SL FOR SCALARS.
047044,001481: 00,2104 30156 DCA MPAC +1 # SHIFTING LEFT ONE PLACE AT A TIME IS
047045,001482: 00,2105 20156 DAS MPAC +1 # FASTER THAN DOING THE WHOLE SHIFT WITH
047046,001483: 00,2106 60154 AD MPAC # MULTIPLIES ASSUMING THAT FREQUENCY OF
047047,001484: 00,2107 60154 AD MPAC # SHIFT COUNTS GOES DOWN RAPIDLY AS A
047048,001485: 00,2110 54154 TS MPAC # FUNCTION OF THEIR MAGNITUDE.
047049,001486: 00,2111 12113 TCF +2
047050,001487: 00,2112 54121 TS OVFIND # OVERFLOW. (LEAVES OVERFLOW-CORRECTED
047051,001488: # RESULT ANYWAY).
047052,001489: 00,2113 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNT.
047053,001490: 00,2114 12102 TCF TSSL +1
047054,001491:
047055,001492: 00,2115 10020 CCS CYR # SEE IF ROUND WANTED.
047056,001493: 00,2116 07105 ROUND TC ROUNDSUB # YES - ROUND AND EXIT.
047057,001494: 00,2117 16030 TCF DANZIG # SL LEAVES A ZERO IN CYR FOR NO ROUND.
047058,001495: 00,2120 16030 TCF DANZIG # NO - EXIT IMMEDIATL
047059,001496:
047060,001497: # VECTOR SHIFTING ROUTINES.
047061,001498:
047062,001499: 00,2121 35005 SHORTV CAF LOW3 # SAVE 3 BIT SHIFT COUNT - 1 WITHOUT
047063,001500: 00,2122 70020 MASK CYR # EDITING CYR.
047064,001501: 00,2123 54135 TS MPTEMP
047065,001502: 00,2124 10020 CCS CYR # SEE IF LEFT OR RIGHT SHIFT.
047066,001503: 00,2125 12145 TCF VSSL # VECTOR SHIFT LEFT.
047067,001504: 00,2126 00176 OCT176 OCT 176 # USED IN PROCESSED SHIFTS WITH - COUNT.
047068,001505:
047069,001506: 00,2127 50135 VSSR INDEX MPTEMP # (ENTRY FROM SR). PICK UP SHIFTING BIT.
047070,001507: 00,2130 34764 CAF BIT14 # MPTEMP CONTAINS THE SHIFT COUNT - 1.
047071,001508: 00,2131 54135 TS MPTEMP
047072,001509: 00,2132 02073 TC VSHRRND # SHIFT X COMPONENT.
047073,001510:
047074,001511: 00,2133 52155 DXCH MPAC # SWAP X AND Y COMPONENTS.
047075,001512: 00,2134 52160 DXCH MPAC +3
047076,001513: 00,2135 52155 DXCH MPAC
047077,001514: 00,2136 02073 TC VSHRRND # SHIFT Y COMPONENT.
047078,001515:
047079,001516: 00,2137 52155 DXCH MPAC # SWAP Y AND Z COMPONENTS.
047080,001517: 00,2140 52162 DXCH MPAC +5
047081,001518: 00,2141 52155 DXCH MPAC
047082,001519: 00,2142 02073 TC VSHRRND # SHIFT Z COMPONENT.
047083,001520:
047084,001521: 00,2143 17354 TCF VROTATEX # RESTORE COMPONENTS TO PROPER PLACES.
047085,001522:
047086,001523: # VECTOR SHIFT LEFT - DONE ONE PLACE AT A TIME.
047087,001524:
047088,001525: 00,2144 54135 -1 TS MPTEMP # SHIFTING LOOP.
047089,001526:
047090,001527: 00,2145 00006 VSSL EXTEND
047091,001528: 00,2146 30155 DCA MPAC
047092,001529: 00,2147 20155 DAS MPAC
047093,001530: 00,2150 00006 EXTEND
047094,001531: 00,2151 12153 BZF +2
047095,001532: 00,2152 06766 TC OVERFLOW
047096,001533:
047097,001534: 00,2153 00006 EXTEND
047098,001535: 00,2154 30160 DCA MPAC +3
047099,001536: 00,2155 20160 DAS MPAC +3
047100,001537: 00,2156 00006 EXTEND
047101,001538: 00,2157 12161 BZF +2
047102,001539: 00,2160 06763 TC OVERFLWY
047103,001540:
047104,001541: 00,2161 00006 EXTEND
047105,001542: 00,2162 30162 DCA MPAC +5
047106,001543: 00,2163 20162 DAS MPAC +5
047107,001544: 00,2164 00006 EXTEND
047108,001545: 00,2165 12167 BZF +2
047109,001546: 00,2166 06760 TC OVERFLWZ
047110,001547:
047111,001548: 00,2167 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNTER.
047112,001549: 00,2170 12144 TCF VSSL -1
047113,001550: 00,2171 16030 TCF DANZIG # EXIT.
047114,001551:
047115,001552: # TSLC - TRIPLE SHIFT LEFT AND COUNT. SHIFTS MPAC LEFT UNTIL GREATER THAN .5 IN MAGNITUDE, LEAVING
047116,001553: # THE COMPLEMENT OF THE NUMBER OF SHIFTS REQUIRED IN X.
047117,001554:
047118,001555: 00,2172 54135 TSLC2 TS MPTEMP # START BY ZEROING SHIFT COUNT (IN A NOW).
047119,001556: 00,2173 06672 TC BRANCH # EXIT WITH NO SHIFTING IF ARGUMENT ZERO.
047120,001557: 00,2174 12176 TCF +2
047121,001558: 00,2175 12212 TCF ENDTSLC # STORES ZERO SHIFT COUNT IN THIS CASE.
047122,001559:
047123,001560: 00,2176 07226 TC TPAGREE # MAY CAUSE UPSHIFT OF ONE EXTRA PLACE.
047124,001561:
047125,001562: 00,2177 30154 CA MPAC # BEGIN NORMALIZATION LOOP.
047126,001563: 00,2200 12207 TCF TSLCTEST
047127,001564:
047128,001565: 00,2201 24135 TSLCLOOP INCR MPTEMP # INCREMENT SHIFT COUNTER.
047129,001566: 00,2202 00006 EXTEND
047130,001567: 00,2203 30156 DCA MPAC +1
047131,001568: 00,2204 20156 DAS MPAC +1
047132,001569: 00,2205 60154 AD MPAC
047133,001570: 00,2206 26154 ADS MPAC
047134,001571: 00,2207 60000 TSLCTEST DOUBLE # SEE IF (ANOTHER) SHIFT IS REQUIRED.
047135,001572: 00,2210 54000 OVSK
047136,001573: 00,2211 12201 TCF TSLCLOOP # YES - INCREMENT COUNT AND SHIFT AGAIN.
047137,001574:
047138,001575: 00,2212 40135 ENDTSLC CS MPTEMP
047139,001576: 00,2213 16572 TCF STORE1 # STORE SHIFT COUNT AND RETURN TO DANZIG.
047140,001577:
047141,001578: # THE FOLLOWING ROUTINES PROCESSES THE GENERAL SHIFT INSTRUCTIONS SR, SRR, SL, AND SLR.
047142,001579: # THE GIVEN ADDRESS IS DECODED AS FOLLOWS:
047143,001580:
047144,001581: # BITS 1-7 SHIFT COUNT (SUBADDRESS) LESS THAN 125 DECIMAL.
047145,001582: # BIT 8 PSEUDO SIGN BIT (DETECTS CHANGE IN SIGN IN INDEXED SHIFTS).
047146,001583: # BIT 9 0 FOR LEFT SHIFT, AND 1 FOR RIGHT SHIFT.
047147,001584: # BIT 10 1 FOR TERMINAL ROUND ON SCALAR SHIFTS, 0 OTHERWISE.
047148,001585: # BITS 11-13 0.
047149,001586: # BIT 14 1.
047150,001587: # BIT 15 0.
047151,001588:
047152,001589: # THE ABOVE ENCODING IS DONE BY THE YUL SYSTEM.
047153,001590:
047154,001591: 00,2214 70116 GENSHIFT MASK ADDRWD # GET SHIFT COUNT, TESTING FOR ZERO.
047155,001592: 00,2215 10000 CCS A # (ARRIVES WITH C(A) = LOW7).
047156,001593: 00,2216 12224 TCF GENSHFT2 # IF NON-ZERO, PROCEED WITH DECREMENTED CT
047157,001594:
047158,001595: 00,2217 34770 CAF BIT10 # ZERO SHIFT COUNT. NO SHIFTS NEEDED BUT
047159,001596: 00,2220 70116 MASK ADDRWD # WE MIGHT HAVE TO ROUND MPAC ON SLR AND
047160,001597: 00,2221 10000 CCS A # SRR (SCALAR ONLY).
047161,001598: 00,2222 07105 TC ROUNDSUB
047162,001599: 00,2223 16030 TCF DANZIG
047163,001600:
047164,001601: 00,2224 54135 GENSHFT2 TS MPTEMP # DECREMENTED SHIFT COUNT TO MPTEMP.
047165,001602: 00,2225 34772 CAF BIT8 # TEST MEANING OF LOW SEVEN BIT COUNT IN
047166,001603: 00,2226 00006 EXTEND # MPTEMP NOW.
047167,001604: 00,2227 70116 MP ADDRWD
047168,001605: 00,2230 76214 MASK LOW2 # JUMPS ON SHIFT DIRECTION (BIT8) AND
047169,001606: 00,2231 50000 INDEX A
047170,001607: 00,2232 12233 TCF +1 # ORIGINAL SHIFT DIRECTION (BIT 9).
047171,001608: 00,2233 12332 TCF RIGHT- # NEGATIVE SHIFT COUNT FOR SL OR SLR.
047172,001609: 00,2234 12342 TCF LEFT # SL OR SLR.
047173,001610: 00,2235 12336 TCF LEFT- # NEGATIVE SHIFT COUNT WITH SR OR SRR.
047174,001611:
047175,001612: # GENERAL SHIFT RIGHT.
047176,001613:
047177,001614: 00,2236 10163 RIGHT CCS MODE # SEE IF VECTOR OR SCALAR.
047178,001615: 00,2237 12277 TCF GENSCR
047179,001616: 00,2240 12277 TCF GENSCR
047180,001617:
047181,001618: 00,2241 30135 CA MPTEMP # SEE IF SHIFT COUNT LESS THAN 14D.
047182,001619: 00,2242 63726 VRIGHT2 AD NEG12
047183,001620: 00,2243 00006 EXTEND
047184,001621: 00,2244 62127 BZMF VSSR # IF SO, BRANCH AND SHIFT IMMEDIATELY.
047185,001622:
047186,001623: 00,2245 67702 AD NEGONE # IF NOT, REDUCE MPTEMP BY A TOTAL OF 14,
047187,001624: 00,2246 54135 TS MPTEMP # AND DO A SHIFT RIGHT AND ROUND BY 14.
047188,001625: 00,2247 35003 CAF ZERO # THE ROUND AT THIS STAGE MAY INTRODUCE A
047189,001626: 00,2250 54001 TS L # ONE BIT ERROR IN A SHIFT RIGHT 15D.
047190,001627: 00,2251 56154 XCH MPAC
047191,001628: 00,2252 56155 XCH MPAC +1
047192,001629: 00,2253 02272 TC SETROUND # X COMPONENT NOW SHIFTED, SO MAKE UP THE
047193,001630: 00,2254 20155 DAS MPAC # ROUNDING QUANTITY (0 IN A AND 0 OR +-1
047194,001631: # IN L).
047195,001632: 00,2255 56157 XCH MPAC +3 # REPEAT THE ABOVE PROCESS FOR Y AND Z.
047196,001633: 00,2256 56160 XCH MPAC +4
047197,001634: 00,2257 02272 TC SETROUND
047198,001635: 00,2260 20160 DAS MPAC +3 # NO OVERFLOW ON THESE ADDS.
047199,001636:
047200,001637: 00,2261 56161 XCH MPAC +5
047201,001638: 00,2262 56162 XCH MPAC +6
047202,001639: 00,2263 02272 TC SETROUND
047203,001640: 00,2264 20162 DAS MPAC +5
047204,001641:
047205,001642: 00,2265 10135 CCS MPTEMP # SEE IF DONE, DOING FINAL DECREMENT.
047206,001643: 00,2266 54135 TS MPTEMP
047207,001644: 00,2267 12242 TCF VRIGHT2
047208,001645: 00,2270 04604 BIASLO DEC .2974 B-1 # SQRT CONSTANT
047209,001646:
047210,001647: 00,2271 16030 TCF DANZIG
047211,001648:
047212,001649: 00,2272 60000 SETROUND DOUBLE # MAKES UP ROUNDING QUANTITY FROM ARRIVING
047213,001650: 00,2273 54156 TS MPAC +2 # C(A). L IS ZERO INITIALLY.
047214,001651: 00,2274 35003 CAF ZERO
047215,001652: 00,2275 56001 XCH L
047216,001653: 00,2276 00002 TC Q # RETURN AND DO THE DAS, RESETTING L TO 0.
047217,001654:
047218,001655: # PROCESS SR AND SRR FOR SCALARS.
047219,001656:
047220,001657: 00,2277 30135 GENSCR CA MPTEMP # SEE IF THE ORIGINAL SHIFT COUNT WAS LESS
047221,001658: 00,2300 63726 +1 AD NEG12 # THAN 14D.
047222,001659: 00,2301 00006 EXTEND
047223,001660: 00,2302 62322 BZMF DOSSHFT # DO THE SHIFT IMMEDIATELY IF SO.
047224,001661:
047225,001662: 00,2303 67702 +4 AD NEGONE # IF NOT, DECREMENT SHIFT COUNT BY 14D AND
047226,001663: 00,2304 54135 TS MPTEMP # SHIFT MPAC RIGHT 14 PLACES.
047227,001664: 00,2305 35003 CAF ZERO
047228,001665: 00,2306 56154 XCH MPAC
047229,001666: 00,2307 56155 XCH MPAC +1
047230,001667: 00,2310 54156 TS MPAC +2
047231,001668: 00,2311 10135 CCS MPTEMP # SEE IF FINISHED, DO FINAL DECREMENT.
047232,001669: 00,2312 54135 TS MPTEMP
047233,001670: 00,2313 02300 TC GENSCR +1
047234,001671: 00,2314 22650 SLOPEHI DEC .5884 # SQRT CONSTANT.
047235,001672: 00,2315 34770 CAF BIT10 # FINISHED WITH SHIFT. SEE IF ROUND
047236,001673: 00,2316 70116 MASK ADDRWD # WANTED.
047237,001674: 00,2317 10000 CCS A
047238,001675: 00,2320 07105 TC ROUNDSUB
047239,001676: 00,2321 16030 TCF DANZIG # DO SO AND/OR EXIT.
047240,001677:
047241,001678: 00,2322 50135 DOSSHFT INDEX MPTEMP # PICK UP SHIFTING BIT.
047242,001679: 00,2323 34764 CAF BIT14
047243,001680: 00,2324 54135 TS MPTEMP
047244,001681: 00,2325 34770 CAF BIT10 # SEE IF TERMINAL ROUND DESIRED.
047245,001682: 00,2326 70116 MASK ADDRWD
047246,001683: 00,2327 10000 CCS A
047247,001684: 00,2330 12031 TCF RIGHTR # YES.
047248,001685: 00,2331 12033 TCF MPACSHR # JUST SHIFT RIGHT.
047249,001686:
047250,001687: # PROCESS THE RIGHT- (SL(R) WITH A NEGATIVE COUNT), LEFT-, AND LEFT OPTIONS.
047251,001688:
047252,001689: 00,2332 40135 RIGHT- CS MPTEMP # GET ABSOLUTE VALUE - 1 OF SHIFT COUNT
047253,001690: 00,2333 62126 AD OCT176 # UNDERSTANDING THAT BIT8 (PSEUDO-SIGN)
047254,001691: 00,2334 54135 TS MPTEMP # WAS 1 INITIALLY.
047255,001692: 00,2335 12236 TCF RIGHT # DO NORMAL SHIFT RIGHT.
047256,001693:
047257,001694: 00,2336 42126 LEFT- CS OCT176 # SAME PROLOGUE TO LEFT FOR INDEXED RIGHT
047258,001695: 00,2337 60135 AD MPTEMP # SHIFTS WHOSE NET SHIFT COUNT IS NEGATIVE
047259,001696: 00,2340 40000 COM
047260,001697: 00,2341 54135 TS MPTEMP
047261,001698:
047262,001699: 00,2342 10163 LEFT CCS MODE # SINCE LEFT SHIFTING IS SONE ONE PLACE AT
047263,001700: 00,2343 12346 TCF GENSCL # A TIME, NO COMPARISON WITH 14 NEED BE
047264,001701: 00,2344 12346 TCF GENSCL # DONE. FOR SCALARS, SEE IF TERMINAL ROUND
047265,001702: 00,2345 12145 TCF VSSL # DESIRED. FOR VECTORS, SHIFT IMMEDIATELY.
047266,001703:
047267,001704: 00,2346 40116 GENSCL CS ADDRWD # PUT ROUNDING BIT (BIT 10 OF ADDRWD) INTO
047268,001705: 00,2347 00006 EXTEND # BIT 15 OF CYR WHERE THE ROUNDING BIT OF
047269,001706: 00,2350 74774 MP BIT6 # A SHORT SHIFT LEFT WOULD BE
047270,001707: 00,2351 54020 TS CYR
047271,001708: 00,2352 12103 TCF TSSL +2 # DO THE SHIFT.
047272,001709:
047273,001710: # SCALAR DIVISION INSTRUCTIONS, DDV AND BDDV, ARE EXECUTED HERE. AT THIS POINT, THE DIVIDEND IS IN MPAC
047274,001711: # AND THE DIVISOR IN BUF.
047275,001712:
047276,001713: 00,2353 45001 DDV/BDDV CS ONE # INITIALIZATION.
047277,001714: 00,2354 54136 TS DVSIGN # +-1 FOR POSITIVE QUOTIENT - -0 FOR NEG.
047278,001715: 00,2355 54137 TS DVNORMCT # DIVIDEND NORMALIZATION COUNT.
047279,001716: 00,2356 54140 TS MAXDVSW # NEAR-ONE DIVIDE FLAG.
047280,001717:
047281,001718: 00,2357 10130 CCS BUF # FORCE BUF POSITIVE WITH THE MAJOR PART
047282,001719: 00,2360 12515 TCF BUFPOS # NON-ZERO.
047283,001720: 00,2361 12363 TCF +2
047284,001721: 00,2362 12530 TCF BUFNEG
047285,001722:
047286,001723: 00,2363 07225 BUFZERO TC BUFAGREE
047287,001724: 00,2364 10154 CCS MPAC # TEST TO SEE IF MPAC NON-ZERO. (TOO BIG)
047288,001725: 00,2365 12413 TCF OVF+ # MAJOR PART OF DIVIDEND IS POSITIVE NON-0
047289,001726: 00,2366 12370 TCF +2
047290,001727: 00,2367 12412 TCF OVF+ -1 # MAJOR PART OF DIVIDEND IS NEG. NON-ZERO
047291,001728:
047292,001729: 00,2370 56131 XCH BUF +1 # SHIFT DIVIDEND AND DIVISOR LEFT 14.
047293,001730: 00,2371 56130 XCH BUF
047294,001731: 00,2372 56155 XCH MPAC +1
047295,001732: 00,2373 56154 XCH MPAC
047296,001733: 00,2374 10130 CCS BUF # TRY AGAIN ON FORMER MINOR PART.
047297,001734: 00,2375 12421 TCF BUF+
047298,001735: 00,2376 12400 TCF +2 # OVERFLOW ON ZERO DIVISOR.
047299,001736: 00,2377 12415 TCF BUF-
047300,001737:
047301,001738: 00,2400 40154 CS MPAC # SIGN OF MPAC DETERMINES SIGN OF RESULT.
047302,001739: 00,2401 00006 SGNDVOVF EXTEND
047303,001740: 00,2402 62404 BZMF +2
047304,001741: 00,2403 24136 INCR DVSIGN # NEGMAX IN MPAC PERHAPS.
047305,001742: 00,2404 34761 DVOVF CAF POSMAX # ON DIVISION OVERFLOW OF ANY SORT, SET
047306,001743: 00,2405 54154 TS MPAC # SET DP MPAC TO +-POSMAX.
047307,001744: 00,2406 02627 TC FINALDV +3
047308,001745: 00,2407 35001 CAF ONE # SET OVERFLOW INDICATOR AND EXIT.
047309,001746: 00,2410 54121 TS OVFIND
047310,001747: 00,2411 06030 TC DANZIG
047311,001748:
047312,001749: 00,2412 24136 -1 INCR DVSIGN
047313,001750: 00,2413 40131 OVF+ CS BUF +1 # LOAD LOWER ORDER PART OF DIVISOR.
047314,001751: 00,2414 12401 TCF SGNDVOVF # GET SIGN OF RESULT.
047315,001752:
047316,001753: 00,2415 00006 BUF- EXTEND # IF BUF IS NEGATIVE, COMPLEMENT IT AND
047317,001754: 00,2416 40131 DCS BUF # MAINTAIN DVSIGN FOR FINAL QUOTIENT SIGN.
047318,001755: 00,2417 52131 DXCH BUF
047319,001756: 00,2420 24136 INCR DVSIGN # NOW -0.
047320,001757: 00,2421 10154 BUF+ CCS MPAC # FORCE MPAC POSITIVE, CHECKING FOR ZERO
047321,001758: 00,2422 12436 TCF MPAC+ # DIVIDEND IN THE PROCESS.
047322,001759: 00,2423 12425 TCF +2
047323,001760: 00,2424 12432 TCF MPAC-
047324,001761: 00,2425 10155 CCS MPAC +1
047325,001762: 00,2426 12436 TCF MPAC+
047326,001763: 00,2427 16030 TCF DANZIG # EXIT IMMEDIATELY ON ZERO DIVIDEND.
047327,001764: 00,2430 12432 TCF MPAC-
047328,001765: 00,2431 16030 TCF DANZIG
047329,001766:
047330,001767: 00,2432 00006 MPAC- EXTEND # FORCE MPAC POSITIVE AS BUF IN BUF-.
047331,001768: 00,2433 40155 DCS MPAC
047332,001769: 00,2434 52155 DXCH MPAC
047333,001770: 00,2435 24136 INCR DVSIGN # NOW +1 OR -0.
047334,001771:
047335,001772: 00,2436 40154 MPAC+ CS MPAC # CHECK FOR DIVISION OVERFLOW. IF THE
047336,001773: 00,2437 67702 AD NEGONE # MAJOR PART OF THE DIVIDEND IS LESS THAN
047337,001774: 00,2440 60130 AD BUF # THE MAJOR PART OF THE DIVISOR BY AT
047338,001775: 00,2441 10000 CCS A # LEAST TWO, WE CAN PROCEED IMMEDIATELY
047339,001776: 00,2442 12504 TCF DVNORM # WITHOUT NORMALIZATION PRODUCING A DVMAX.
047340,001777: 00,2443 60001 -1/2+2 OCT 60001 # USED IN SQRTSUB.
047341,001778:
047342,001779: 00,2444 12445 TCF +1 # IF THE ABOVE DOES NOT HOLD, FORCE SIGN
047343,001780: 00,2445 34764 CAF HALF # AGREEMENT IN NUMERATOR AND DENOMINATOR
047344,001781: 00,2446 60000 DOUBLE # TO FACILITATE OVERFLOW AND NEAR-ONE
047345,001782: 00,2447 60155 AD MPAC +1 # CHECKING.
047346,001783: 00,2450 54155 TS MPAC +1
047347,001784: 00,2451 35003 CAF ZERO
047348,001785: 00,2452 64761 AD POSMAX
047349,001786: 00,2453 26154 ADS MPAC
047350,001787:
047351,001788: 00,2454 34764 CAF HALF # SAME FOR BUF.
047352,001789: 00,2455 60000 DOUBLE
047353,001790: 00,2456 60131 AD BUF +1
047354,001791: 00,2457 54131 TS BUF +1
047355,001792: 00,2460 35003 CAF ZERO
047356,001793: 00,2461 64761 AD POSMAX
047357,001794: 00,2462 26130 ADS BUF
047358,001795:
047359,001796: 00,2463 40154 CS MPAC # CHECK MAGNITUDE OF SIGN-CORRECTED
047360,001797: 00,2464 60130 AD BUF # OPERANDS.
047361,001798: 00,2465 10000 CCS A
047362,001799: 00,2466 12504 TCF DVNORM # DIVIDE OK - WILL NOT BECOME MAXDV CASE.
047363,001800: 00,2467 00133 LBUF2 ADRES BUF2
047364,001801: 00,2470 12404 TCF DVOVF # DIVISOR NOT LESS THAN DIVIDEND - OVF.
047365,001802:
047366,001803: 00,2471 54140 TS MAXDVSW # IF THE MAJOR PARTS OF THE DIVIDEND AND
047367,001804: 00,2472 40155 CS MPAC +1 # DIVISOR ARE EQUAL, A SPECIAL APPROXIMA-
047368,001805: 00,2473 60131 AD BUF +1 # TION IS USED (PROVIDED THE DIVISION IS
047369,001806: 00,2474 00006 EXTEND # POSSIBLE, OF COURSE).
047370,001807: 00,2475 62404 BZMF DVOVF
047371,001808: 00,2476 12504 TCF DVNORM # IF NO OVERFLOW.
047372,001809:
047373,001810: 00,2477 00006 BUFNORM EXTEND # ADD -1 TO AUGMENT SHIFT COUNT AND SHIFT
047374,001811: 00,2500 24137 AUG DVNORMCT # LEFT ONE PLACE.
047375,001812: 00,2501 00006 EXTEND
047376,001813: 00,2502 30131 DCA BUF
047377,001814: 00,2503 20131 DAS BUF
047378,001815:
047379,001816: 00,2504 30130 DVNORM CA BUF # SEE IF DIVISOR NORMALIZED YET.
047380,001817: 00,2505 60000 DOUBLE
047381,001818: 00,2506 54000 OVSK
047382,001819: 00,2507 12477 TCF BUFNORM # NO - SHIFT LEFT ONE AND TRY AGAIN.
047383,001820:
047384,001821: 00,2510 52155 DXCH MPAC # CALL DIVIDEND NORMALIZATION SEQUENCE
047385,001822: 00,2511 50137 INDEX DVNORMCT # PRIOR TO DOING THE DIVIDE.
047386,001823: 00,2512 02564 TC MAXTEST
047387,001824:
047388,001825: 00,2513 54156 TS MPAC +2 # RETURNS WITH DIVISION DONE AND C(A) = 0.
047389,001826: 00,2514 16030 TCF DANZIG
047390,001827:
047391,001828: 00,2515 10000 BUFPOS CCS A
047392,001829: 00,2516 12421 TCF BUF+ # TO BUF+ IF BUF IS GREATER THAN +1.
047393,001830:
047394,001831: 00,2517 40131 CS BUF +1 # IF BUF IS +1, FORCING SIGN AGREEMENT
047395,001832: 00,2520 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO.
047396,001833: 00,2521 62421 BZMF BUF+ # BRANCH IF SIGNS AGREE.
047397,001834:
047398,001835: 00,2522 34764 CA HALF # SIGNS DISAGREE. FORCE AGREEMENT.
047399,001836: 00,2523 60000 +6 DOUBLE
047400,001837: 00,2524 26131 ADS BUF +1
047401,001838: 00,2525 35003 CA ZERO
047402,001839: 00,2526 54130 TS BUF
047403,001840: 00,2527 12363 TCF BUFZERO
047404,001841:
047405,001842: 00,2530 10000 BUFNEG CCS A
047406,001843: 00,2531 12415 TCF BUF- # TO BUF- IF BUF IS LESS THAN -1.
047407,001844:
047408,001845: 00,2532 30131 CA BUF +1 # IF BUF IS -1, FORCING SIGN AGREEMENT
047409,001846: 00,2533 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO.
047410,001847: 00,2534 62415 BZMF BUF- # BRANCH IF SIGNS AGREE.
047411,001848:
047412,001849: 00,2535 44764 CS HALF # SIGNS DISAGREE. FORCE AGREEMENT.
047413,001850: 00,2536 12523 TCF BUFPOS +6
047414,001851:
047415,001852: # THE FOLLOWING ARE PROLOGUES TO SHIFT THE DIVIDEND ARRIVING IN A AND L BEFORE THE DIVIDE.
047416,001853:
047417,001854: 00,2537 22021 -21D LXCH SR # SPECIAL PROLOGUE FOR UNIT WHEN THE
047418,001855: 00,2540 00006 EXTEND # LENGTH OF THE ARGUMENT WAS NOT LESS THAN
047419,001856: 00,2541 74764 MP HALF # .5. IN THIS CASE, EACH COMPONENT MUST BE
047420,001857: 00,2542 56001 XCH L # SHIFTED RIGHT ONE TO PRODUCE A HALF-UNIT
047421,001858: 00,2543 60021 AD SR # VECTOR.
047422,001859: 00,2544 56001 XCH L
047423,001860: 00,2545 12570 TCF GENDDV +1 # WITH DP DIVIDEND IN A,L.
047424,001861:
047425,001862: 00,2546 20001 DDOUBL # PROLOGUE WHICH NORMALIZES THE DIVIDEND
047426,001863: 00,2547 20001 DDOUBL # WHEN IT IS KNOWN THAT NO DIVISION
047427,001864: 00,2550 20001 DDOUBL # OVERFLOW WILL OCCUR.
047428,001865: 00,2551 20001 DDOUBL
047429,001866: 00,2552 20001 DDOUBL
047430,001867: 00,2553 20001 DDOUBL
047431,001868: 00,2554 20001 DDOUBL
047432,001869: 00,2555 20001 DDOUBL
047433,001870: 00,2556 20001 DDOUBL
047434,001871: 00,2557 20001 DDOUBL
047435,001872: 00,2560 20001 DDOUBL
047436,001873: 00,2561 20001 DDOUBL
047437,001874: 00,2562 20001 DDOUBL
047438,001875: 00,2563 52155 -1 DXCH MPAC
047439,001876: 00,2564 10140 MAXTEST CCS MAXDVSW # 0 IF MAJORS MIGHT BE =, -1 OTHERWISE.
047440,001877: 00,2565 06552 BIASHI DEC .4192 B-1 # SQRT CONSTANTS
047441,001878:
047442,001879: 00,2566 12641 TCF MAXDV # CHECK TO SEE IF THEY ARE NOW EQUAL.
047443,001880:
047444,001881: # THE FOLLOWING IS A GENERAL PURPOSE DOUBLE PRECISION DIVISION ROUTINE. IT DIVIDES MPAC BY BUF AND LEAVES
047445,001882: # THE RESULT IN MPAC. THE FOLLOWING CONDITIONS MUST BE SATISFIED:
047446,001883:
047447,001884: # 1. THE DIVISOR (BUF) MUST BE POSITIVE AND NOT LESS THAN .5.
047448,001885:
047449,001886: # 2. THE DIVIDEND (MPAC) MUST BE POSITIVE WITH THE MAJOR PART OF MPAC STRICTLY LESS THAN THAT OF BUF
047450,001887: # (A SPECIAL APPROXIMATION, MAXDV, IS USED WHEN THE MAJOR PARTS ARE EQUAL).
047451,001888:
047452,001889: # UNDERSTANDING THAT A/B = Q + S(R/B) WHERE S = 2(-14) AND Q AND R ARE QUOTIENT AND REMAINDER, RESPEC-
047453,001890: # TIVELY, THE FOLLOWING APPROXIMATION IS OBTAINED BY MULTIPLYING ABOVE AND BELOW BY C - SD AND NEGLECTING TERMS OF
047454,001891: # ORDER S-SQUARED (POSSIBLY INTRODUCING ERROR INTO THE LOW TWO BITS OF THE RESULT). SIGN AGREEMENT IS UNNECESSARY.
047455,001892:
047456,001893: # A + SB . (R - QD) A + SB
047457,001894: # ------ = Q + S(------) WHERE Q AND R ARE QUOTIENT AND REMAINDER OF ------ RESPECTIVELY.
047458,001895: # C + SD ( C ) C
047459,001896:
047460,001897: 00,2567 52155 GENDDV DXCH MPAC # WE NEED A AND B ONLY FOR FIRST DV.
047461,001898: 00,2570 00006 +1 EXTEND # (SPECIAL UNIT PROLOGUE ENTERS HERE).
047462,001899: 00,2571 10130 DV BUF # A NOW CONTAINS Q AND L, R.
047463,001900: 00,2572 52155 DXCH MPAC
047464,001901:
047465,001902: 00,2573 40154 CS MPAC # FORM DIVIDEND FOR MINOR PART OF RESULT.
047466,001903: 00,2574 00006 EXTEND
047467,001904: 00,2575 70131 MP BUF +1
047468,001905: 00,2576 60155 AD MPAC +1 # OVERFLOW AT THIS POINT IS POSITIVE SINCE
047469,001906: 00,2577 54000 OVSK # R IS POSITIVE IN EVERY CASE.
047470,001907: 00,2600 12605 TCF +5
047471,001908:
047472,001909: 00,2601 00006 EXTEND # OVERFLOW CAN BE REMOVED BY SUBTRACTING C
047473,001910: 00,2602 60130 SU BUF # (BUF) ONCE SINCE R IS ALWAYS LESS THAN C
047474,001911: 00,2603 24154 INCR MPAC # IN THIS CASE. INCR COMPENSATES SUBTRACT.
047475,001912: 00,2604 12607 TCF +DOWN # (SINCE C(A) IS STILL POSITIVE).
047476,001913:
047477,001914: 00,2605 00006 +5 EXTEND # C(A) CAN BE MADE LESS THAN C IN MAGNI-
047478,001915: 00,2606 62617 BZMF -UP # TUDE BY DIMINISHING IT BY C (SINCE C IS
047479,001916: # NOT LESS THAN .5) UNLESS C(A) = 0.
047480,001917:
047481,001918: 00,2607 00006 +DOWN EXTEND
047482,001919: 00,2610 60130 SU BUF # IF POSITIVE, REDUCE ONLY IF NECESSARY
047483,001920: 00,2611 00006 EXTEND # SINCE THE COMPENSATING INCR MIGHT CAUSE
047484,001921: 00,2612 12615 BZF +3 # OVERFLOW.
047485,001922: 00,2613 00006 EXTEND # DONT SUBTRACT UNLESS RESULT IS POSITIVE
047486,001923: 00,2614 62623 BZMF ENDMAXDV # OR ZERO.
047487,001924:
047488,001925: 00,2615 24154 +3 INCR MPAC # KEEP SUBTRACT HERE AND COMPENSATE.
047489,001926: 00,2616 12624 TCF FINALDV
047490,001927:
047491,001928: 00,2617 00006 -UP EXTEND # IF ZERO, SET MINOR PART OF RESULT TO
047492,001929: 00,2620 12627 BZF FINALDV +3 # ZERO.
047493,001930:
047494,001931: 00,2621 00006 EXTEND # IF NEGATIVE, ADD C TO A, SUBTRACTING ONE
047495,001932: 00,2622 26154 DIM MPAC # TO COMPENSATE. DIM IS OK HERE SINCE THE
047496,001933: 00,2623 60130 ENDMAXDV AD BUF # MAJOR PART NEVER GOES NEGATIVE.
047497,001934:
047498,001935: 00,2624 22007 FINALDV ZL # DO DV TO OBTAIN MINOR PART OF RESULT.
047499,001936: 00,2625 00006 EXTEND
047500,001937: 00,2626 10130 DV BUF
047501,001938: 00,2627 54155 +3 TS MPAC +1
047502,001939:
047503,001940: 00,2630 10136 CCS DVSIGN # LEAVE RESULT POSITIVE UNLESS C(DVSIGN)=
047504,001941: 00,2631 00002 TC Q # -0.
047505,001942: 00,2632 00002 TC Q
047506,001943: 00,2633 00002 TC Q
047507,001944:
047508,001945: 00,2634 00006 EXTEND
047509,001946: 00,2635 40155 DCS MPAC
047510,001947: 00,2636 52155 DXCH MPAC
047511,001948: 00,2637 35003 CAF ZERO # SO WE ALWAYS RETURN WITH C(A) = 0.
047512,001949: 00,2640 00002 TC Q
047513,001950:
047514,001951: # IF THE MAJOR PARTS OF THE DIVISOR AND DIVIDEND ARE EQUAL, BUT THE MINOR PARTS ARE SUCH THAT THE
047515,001952: # DIVIDEND IS STRICTLY LESS THAN THE DIVISOR IN MAGNITUDE, THE FOLLOWING APPROXIMATION IS USED. THE ASSUMPTIONS
047516,001953: # ARE THE SAME AS THE GENERAL ROUTINE WITH THE ADDITION THAT SIGN AGREEMENT IS NECESSARY (B, C, & D POSITIVE).
047517,001954:
047518,001955: # C + SB . (C + B - D)
047519,001956: # ------ = 37777 + S(---------)
047520,001957: # C + SD ( C )
047521,001958:
047522,001959: # THE DIVISION MAY BE PERFORMED IMMEDIATELY SINCE B IS STRICTLY LESS THAN D AND C IS NOT LESS THAN .5.
047523,001960:
047524,001961: 00,2641 40154 MAXDV CS MPAC # SEE IF MAXDV CASE STILL HOLDS AFTER
047525,001962: 00,2642 60130 AD BUF # NORMALIZATION.
047526,001963: 00,2643 00006 EXTEND
047527,001964: 00,2644 12646 BZF +2
047528,001965: 00,2645 12567 TCF GENDDV # MPAC NOW LESS THAN BUF - DIVIDE AS USUAL
047529,001966:
047530,001967: 00,2646 34761 +2 CAF POSMAX # SET MAJOR PART OF RESULT.
047531,001968: 00,2647 54154 TS MPAC
047532,001969:
047533,001970: 00,2650 40131 CS BUF +1 # FORM DIVIDEND OF MINOR PART OF RESULT.
047534,001971: 00,2651 60155 AD MPAC +1
047535,001972: 00,2652 12623 TCF ENDMAXDV # GO ADD C AND DO DIVIDE, ATTACHING SIGN
047536,001973: # BEFORE EXITING.
047537,001974:
047538,001975: # VECTOR DIVIDED BY SCALAR, V/SC, IS EXECUTED HERE. THE VECTOR IS NOW IN MPAC WITH SCALAR IN BUF.
047539,001976:
047540,001977: 00,2653 45001 V/SC2 CS ONE # INITIALIZE DIVIDEND NORMALIZATION COUNT
047541,001978: 00,2654 54137 TS DVNORMCT # AND DIVISION SIGN REGISTER.
047542,001979: 00,2655 54127 TS VBUF +5
047543,001980:
047544,001981: 00,2656 03007 TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR
047545,001982:
047546,001983: 00,2657 52131 DXCH BUF
047547,001984: 00,2660 07500 TC ALSIGNAG # SIGN AGREE BUF
047548,001985: 00,2661 52131 DXCH BUF
047549,001986: 00,2662 10130 CCS BUF # FORCE DIVISOR POSITIVE WITH MAJOR PART
047550,001987: 00,2663 12720 TCF /BUF+ # NON-ZERO (IF POSSIBLE).
047551,001988: 00,2664 12666 TCF +2
047552,001989: 00,2665 12714 TCF /BUF-
047553,001990:
047554,001991: 00,2666 56131 XCH BUF +1 # SHIFT VECTOR AND SCALAR LEFT 14.
047555,001992: 00,2667 56130 XCH BUF
047556,001993: 00,2670 56155 XCH MPAC +1
047557,001994: 00,2671 56154 XCH MPAC
047558,001995: 00,2672 00006 EXTEND # CHECK FOR OVERFLOW IN EACH CASE.
047559,001996: 00,2673 12675 BZF +2
047560,001997: 00,2674 12404 TCF DVOVF
047561,001998:
047562,001999: 00,2675 56160 XCH MPAC +4
047563,002000: 00,2676 56157 XCH MPAC +3
047564,002001: 00,2677 00006 EXTEND
047565,002002: 00,2700 12702 BZF +2
047566,002003: 00,2701 12404 TCF DVOVF
047567,002004:
047568,002005: 00,2702 56162 XCH MPAC +6
047569,002006: 00,2703 56161 XCH MPAC +5
047570,002007: 00,2704 00006 EXTEND
047571,002008: 00,2705 12707 BZF +2
047572,002009: 00,2706 12404 TCF DVOVF
047573,002010:
047574,002011: 00,2707 10130 CCS BUF
047575,002012: 00,2710 12720 TCF /BUF+
047576,002013: 00,2711 12404 TCF DVOVF # ZERO DIVISOR - OVERFLOW.
047577,002014: 00,2712 12714 TCF /BUF-
047578,002015: 00,2713 12404 TCF DVOVF
047579,002016:
047580,002017: 00,2714 00006 /BUF- EXTEND # ON NEGATIVE, COMPLEMENT BUF AND MAINTAIN
047581,002018: 00,2715 40131 DCS BUF # DVSIGN IN VBUF +5.
047582,002019: 00,2716 52131 DXCH BUF
047583,002020: 00,2717 24127 INCR VBUF +5
047584,002021:
047585,002022: 00,2720 00006 /BUF+ EXTEND
047586,002023: 00,2721 30131 DCA BUF # LEAVE ABS(ORIG DIVISOR) IN BUF2
047587,002024: 00,2722 52134 DXCH BUF2 # FOR OVERFLOW TESTING
047588,002025: 00,2723 12731 TCF /NORM # NORMALIZE DIVISOR IN BUF.
047589,002026:
047590,002027: 00,2724 00006 /NORM2 EXTEND # IF LESS THAN .5, AUGMENT DVNORMCT AND
047591,002028: 00,2725 24137 AUG DVNORMCT # DOUBLE DIVISOR.
047592,002029: 00,2726 00006 EXTEND
047593,002030: 00,2727 30131 DCA BUF
047594,002031: 00,2730 20131 DAS BUF
047595,002032:
047596,002033: 00,2731 30130 /NORM CA BUF # SEE IF DIVISOR NORMALIZED.
047597,002034: 00,2732 60000 DOUBLE
047598,002035: 00,2733 54000 OVSK
047599,002036: 00,2734 12724 TCF /NORM2 # DOUBLE AND TRY AGAIN IF NOT.
047600,002037:
047601,002038: 00,2735 02747 TC V/SCDV # DO X COMPONENT DIVIDE.
047602,002039: 00,2736 52160 DXCH MPAC +3 # SUPPLY ARGUMENTS IN USUAL SEQUENCE.
047603,002040: 00,2737 52155 DXCH MPAC
047604,002041: 00,2740 52160 DXCH MPAC +3
047605,002042:
047606,002043: 00,2741 02747 TC V/SCDV # Y COMPONENT.
047607,002044: 00,2742 52162 DXCH MPAC +5
047608,002045: 00,2743 52155 DXCH MPAC
047609,002046: 00,2744 52162 DXCH MPAC +5
047610,002047:
047611,002048: 00,2745 02747 TC V/SCDV # Z COMPONENT.
047612,002049: 00,2746 17354 TCF VROTATEX # GO RE-ARRANGE COMPONENTS BEFORE EXIT.
047613,002050:
047614,002051: # SUBROUTINE USED BY V/SC TO DIVIDE VECTOR COMPONENT IN MPAC,+1 BY THE SCALAR GIVEN IN BUF.
047615,002052:
047616,002053: 00,2747 30127 V/SCDV CA VBUF +5 # REFLECTS SIGN OF SCALAR.
047617,002054: 00,2750 54136 TS DVSIGN
047618,002055:
047619,002056: 00,2751 10154 CCS MPAC # FORCE MPAC POSITIVE, EXITING ON ZERO.
047620,002057: 00,2752 12766 TCF /MPAC+
047621,002058: 00,2753 12755 TCF +2
047622,002059: 00,2754 12762 TCF /MPAC-
047623,002060:
047624,002061: 00,2755 10155 CCS MPAC +1
047625,002062: 00,2756 12766 TCF /MPAC+
047626,002063: 00,2757 00002 TC Q
047627,002064: 00,2760 12762 TCF /MPAC-
047628,002065: 00,2761 00002 TC Q
047629,002066:
047630,002067: 00,2762 00006 /MPAC- EXTEND # USUAL COMPLEMENTING AND SETTING OF SIGN.
047631,002068: 00,2763 40155 DCS MPAC
047632,002069: 00,2764 52155 DXCH MPAC
047633,002070: 00,2765 24136 INCR DVSIGN
047634,002071:
047635,002072: 00,2766 45001 /MPAC+ CS ONE # INITIALIZE NEAR-ONE SWITCH.
047636,002073: 00,2767 54140 TS MAXDVSW
047637,002074:
047638,002075: 00,2770 40154 CS MPAC # CHECK POSSIBLE OVERFLOW.
047639,002076: 00,2771 60133 AD BUF2 # UNNORMALIZED INPUT DIVISOR.
047640,002077: 00,2772 10000 CCS A
047641,002078: 00,2773 13003 TCF DDVCALL # NOT NEAR-ONE
047642,002079: 00,2774 12776 TCF +2 # +0 IS JUST POSSIBLE
047643,002080: 00,2775 12404 TCF DVOVF # NO HOPE
047644,002081: 00,2776 54140 TS MAXDVSW # SIGNAL POSSIBLE NEAR-ONE CASE
047645,002082: 00,2777 40155 CS MPAC +1 # SEE IF DIVISION CAN BE DONE
047646,002083: 00,3000 60134 AD BUF2 +1
047647,002084: 00,3001 00006 EXTEND
047648,002085: 00,3002 62404 BZMF DVOVF
047649,002086:
047650,002087: 00,3003 52155 DDVCALL DXCH MPAC # CALL PRE-DIVIDE NORMALIZATION.
047651,002088: 00,3004 50137 INDEX DVNORMCT
047652,002089: 00,3005 12564 TCF MAXTEST
047653,002090:
047654,002091: 00,3006 32506 SLOPELO DEC .8324
047655,002092:
047656,002093: 00,3007 56002 VECAGREE XCH Q # SAVE Q IN A
047657,002094: 00,3010 52155 DXCH MPAC
047658,002095: 00,3011 07500 TC ALSIGNAG # SIGNAGREE MPAC
047659,002096: 00,3012 52155 DXCH MPAC
047660,002097: 00,3013 52160 DXCH MPAC +3
047661,002098: 00,3014 07500 TC ALSIGNAG # SIGN AGREE MPAC +3
047662,002099: 00,3015 52160 DXCH MPAC +3
047663,002100: 00,3016 52162 DXCH MPAC +5
047664,002101: 00,3017 07500 TC ALSIGNAG # SIGNAGREE MPAC +5
047665,002102: 00,3020 52162 DXCH MPAC +5
047666,002103: 00,3021 00000 TC A
047667,002104:
047668,002105: # THE FOLLOWING ROUTINE EXECUTES THE UNIT INSTRUCTION, WHICH TAKES THE UNIT OF THE VECTOR IN MPAC.
047669,002106:
047670,002107: 00,3022 03007 UNIT TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR
047671,002108: 00,3023 07466 TC MPACVBUF # SAVE ARGUMENT IN VBUF
047672,002109: 00,3024 35003 CAF ZERO # MUST SENSE OVERFLOW IN FOLLOWING DOT.
047673,002110: 00,3025 56121 XCH OVFIND
047674,002111: 00,3026 54141 TS TEM1
047675,002112: 00,3027 03316 TC VSQSUB # DOT MPAC WITH ITSELF.
047676,002113: 00,3030 30141 CA TEM1
047677,002114: 00,3031 56121 XCH OVFIND
047678,002115: 00,3032 00006 EXTEND
047679,002116: 00,3033 13035 BZF +2
047680,002117: 00,3034 12404 TCF DVOVF
047681,002118: 00,3035 00006 EXTEND
047682,002119: 00,3036 30155 DCA MPAC # LEAVE THE SQUARE OF THE LENGTH OF THE
047683,002120: 00,3037 50120 INDEX FIXLOC # ARGUMENT IN LVSQUARE.
047684,002121: 00,3040 52043 DXCH LVSQUARE
047685,002122:
047686,002123: 00,3041 03342 TC SQRTSUB # GO TAKE THE NORMALIZED SQUARE ROOT.
047687,002124:
047688,002125: 00,3042 10154 CCS MPAC # CHECK FOR UNIT OVERFLOW.
047689,002126: 00,3043 13050 TCF +5 # MPAC IS NOT LESS THAN .5 UNLESS
047690,002127: 00,3044 54001 TS L
047691,002128: 00,3045 50120 INDEX FIXLOC
047692,002129: 00,3046 52045 DXCH LV
047693,002130: 00,3047 12404 TCF DVOVF # INPUT TO SQRTSUB WAS 0.
047694,002131:
047695,002132: 00,3050 44321 CS FOURTEEN # SEE IF THE INPUT WAS SO SMALL THE THE
047696,002133: 00,3051 60135 AD MPTEMP # FIRST TWO REGISTERS OF THE SQUARE WERE 0
047697,002134: 00,3052 10000 CCS A
047698,002135: 00,3053 40000 COM # IF SO, SAVE THE NEGATIVE OF THE SHIFT
047699,002136: 00,3054 13132 TCF SMALL # COUNT -15D.
047700,002137:
047701,002138: 00,3055 13064 TCF LARGE # (THIS IS USUALLY THE CASE.)
047702,002139:
047703,002140: 00,3056 45007 CS THIRTEEN # IF THE SHIFT COUNT WAS EXACTLY 14, SET
047704,002141: 00,3057 54135 TS MPTEMP # THE PRE-DIVIDE NORM COUNT TO -13D.
047705,002142:
047706,002143: 00,3060 30154 CA MPAC # SHIFT THE LENGTH RIGHT 14 BEFORE STORING
047707,002144: 00,3061 54001 SMALL2 TS L # (SMALL EXITS TO THIS POINT).
047708,002145: 00,3062 35003 CAF ZERO
047709,002146: 00,3063 13111 TCF LARGE2 # GO TO STORE LENGTH AND PROCEED.
047710,002147:
047711,002148: 00,3064 10135 LARGE CCS MPTEMP # MOST ALL CASES COME HERE.
047712,002149: 00,3065 13073 TCF LARGE3 # SEE IF NO NORMALIZATION WAS REQUIRED BY
047713,002150: 00,3066 42024 CS SRDDV # SQRT, AND IF SO, SET UP FOR A SHIFT
047714,002151: 00,3067 54135 TS MPTEMP # RIGHT 1 BEFORE DIVIDING TO PRODUCE
047715,002152: 00,3070 00006 EXTEND # THE DESIRED HALF UNIT VECTOR.
047716,002153: 00,3071 30155 DCA MPAC
047717,002154: 00,3072 13111 TCF LARGE2
047718,002155:
047719,002156: 00,3073 40000 LARGE3 COM # LEAVE NEGATIVE OF SHIFT COUNT-1 FOR
047720,002157: 00,3074 54135 TS MPTEMP # PREDIVIDE LEFT SHIFT.
047721,002158:
047722,002159: 00,3075 40000 COM # PICK UP REQUIRED SHIFTING BIT TO UNNORM-
047723,002160: 00,3076 50000 INDEX A # ALIZE THE SQRT RESULT.
047724,002161: 00,3077 34764 CAF BIT14
047725,002162: 00,3100 54130 TS BUF
047726,002163: 00,3101 00006 EXTEND
047727,002164: 00,3102 70155 MP MPAC +1
047728,002165: 00,3103 56130 XCH BUF
047729,002166: 00,3104 00006 EXTEND # (UNNORMALIZE THE SQRT FOR LV).
047730,002167: 00,3105 70154 MP MPAC
047731,002168: 00,3106 56001 XCH L
047732,002169: 00,3107 60130 AD BUF
047733,002170: 00,3110 56001 XCH L
047734,002171:
047735,002172: 00,3111 50120 LARGE2 INDEX FIXLOC
047736,002173: 00,3112 52045 DXCH LV # LENGTH NOW STORED IN WORK AREA.
047737,002174:
047738,002175: 00,3113 45001 CS ONE
047739,002176: 00,3114 54140 TS MAXDVSW # NO MAXDV CASES IN UNIT.
047740,002177:
047741,002178: 00,3115 52123 DXCH VBUF # PREPARE X COMPONENT FOR DIVIDE, SETTING
047742,002179: 00,3116 52155 DXCH MPAC # LENGTH OF VECTOR AS DIVISOR IN BUF.
047743,002180: 00,3117 52131 DXCH BUF
047744,002181: 00,3120 03150 TC UNITDV
047745,002182:
047746,002183: 00,3121 52125 DXCH VBUF +2 # DO Y AND Z IN USUAL FASHION SO WE CAN
047747,002184: 00,3122 52155 DXCH MPAC # EXIT THROUGH VROTATEX.
047748,002185: 00,3123 52160 DXCH MPAC +3
047749,002186: 00,3124 03150 TC UNITDV
047750,002187:
047751,002188: 00,3125 52127 DXCH VBUF +4
047752,002189: 00,3126 52155 DXCH MPAC
047753,002190: 00,3127 52162 DXCH MPAC +5
047754,002191: 00,3130 03150 TC UNITDV
047755,002192: 00,3131 17354 TCF VROTATEX # AND EXIT.
047756,002193:
047757,002194: # IF THE LENGTH OF THE ARGUMENT VECTOR WAS LESS THAN 2(-28), EACH COMPONENT MUST BE SHIFTED LEFT AT LEAST
047758,002195: # 14 PLACES BEFORE THE DIVIDE. NOTE THAT IN THIS CASE, THE MAJOR PART OF EACH COMPONENT IS ZERO.
047759,002196:
047760,002197: 00,3132 54135 SMALL TS MPTEMP # NEGATIVE OF PRE-DIVIDE SHIFT COUNT.
047761,002198:
047762,002199: 00,3133 35003 CAF ZERO # SHIFT EACH COMPONENT LEFT 14.
047763,002200: 00,3134 56123 XCH VBUF +1
047764,002201: 00,3135 56122 XCH VBUF
047765,002202: 00,3136 56125 XCH VBUF +3
047766,002203: 00,3137 56124 XCH VBUF +2
047767,002204: 00,3140 56127 XCH VBUF +5
047768,002205: 00,3141 56126 XCH VBUF +4
047769,002206:
047770,002207: 00,3142 40135 CS MPTEMP
047771,002208: 00,3143 50000 INDEX A
047772,002209: 00,3144 34764 CAF BIT14
047773,002210: 00,3145 00006 EXTEND
047774,002211: 00,3146 70154 MP MPAC
047775,002212: 00,3147 13061 TCF SMALL2
047776,002213:
047777,002214: 00,3150 5007 THIRTEEN = OCT15
047778,002215: 00,3150 4321 FOURTEEN = OCT16
047779,002216: 00,3150 4321 OCT16 = R1D1
047780,002217:
047781,002218: # THE FOLLOWING ROUTINE SETS UP THE CALL TO THE DIVIDE ROUTINES.
047782,002219:
047783,002220: 00,3150 10154 UNITDV CCS MPAC # FORCE MPAC POSITIVE IF POSSIBLE, SETTING
047784,002221: 00,3151 13167 TCF UMPAC+ # DVSIGN ACCORDING TO THE SIGN OF MPAC
047785,002222: 00,3152 13154 TCF +2 # SINCE THE DIVISOR IS ALWAYS POSITIVE
047786,002223: 00,3153 13161 TCF UMPAC- # HERE.
047787,002224:
047788,002225: 00,3154 10155 CCS MPAC +1
047789,002226: 00,3155 13167 TCF UMPAC+
047790,002227: 00,3156 00002 TC Q # EXIT IMMEDIATELY ON ZERO.
047791,002228: 00,3157 13161 TCF UMPAC-
047792,002229: 00,3160 00002 TC Q
047793,002230:
047794,002231: 00,3161 45003 UMPAC- CS ZERO # IF NEGATIVE, SET -0 IN DVSIGN FOR FINAL
047795,002232: 00,3162 54136 TS DVSIGN # COMPLEMENT.
047796,002233: 00,3163 00006 EXTEND
047797,002234: 00,3164 40155 DCS MPAC # PICK UP ABSOLUTE VALUE OF ARG AND JUMP.
047798,002235: 00,3165 50135 INDEX MPTEMP
047799,002236: 00,3166 12563 TCF MAXTEST -1
047800,002237:
047801,002238: 00,3167 54136 UMPAC+ TS DVSIGN # SET DVSIGN FOR POSITIVE QUOTIENT.
047802,002239: 00,3170 52155 DXCH MPAC
047803,002240: 00,3171 50135 INDEX MPTEMP
047804,002241: 00,3172 12563 TCF MAXTEST -1
047805,002242:
047806,002243: # MISCELLANEOUS UNARY OPERATIONS.
047807,002244:
047808,002245: 00,3173 03277 DSQ TC DSQSUB # SQUARE THE DP CONTENTS OF MPAC.
047809,002246: 00,3174 16030 TCF DANZIG
047810,002247:
047811,002248: 00,3175 10163 ABVALABS CCS MODE # ABVAL OR ABS INSTRUCTION.
047812,002249: 00,3176 13225 TCF ABS # DO ABS ON SCALAR.
047813,002250: 00,3177 13225 TCF ABS
047814,002251:
047815,002252: 00,3200 03316 ABVAL TC VSQSUB # DOT MPAC WITH ITSELF.
047816,002253: 00,3201 22163 LXCH MODE # MODE IS NOW DP (L ZERO AFTER DAS).
047817,002254:
047818,002255: 00,3202 00006 EXTEND # STORE SQUARE OF LENGTH IN WORK AREA.
047819,002256: 00,3203 30155 DCA MPAC
047820,002257: 00,3204 50120 INDEX FIXLOC
047821,002258: 00,3205 52043 DXCH LVSQUARE
047822,002259:
047823,002260: # PROGRAM DESCRIPTION - SUBROUTINE SQRT
047824,002261: #
047825,002262: # FUNCTIONAL DESCRIPTION - DOUBLE PRECISION SQUARE ROOT ROUTINE
047826,002263: #
047827,002264: # THIS PROGRAM TAKES THE SQUARE ROOT OF THE 27 OR 28 MOST SIGNIFICANT BITS IN THE TRIPLE PRECISION SET OF
047828,002265: # NUMBERS - MPAC, MPAC+1, AND MPAC+2. THE ROOT IS RETURNED DOUBLE PRECISION IN MPAC AND MPAC+1.
047829,002266: #
047830,002267: # WARNING - THIS SUBROUTINE USES A TRIPLE PRECISION INPUT. THE PROGRAMMER MUST ASSURE THE CONTENTS OF MPAC+2
047831,002268: # ESPECIALLY IF THE CONTENTS OF MPAC IS SMALL OR ZERO. FOR DETAILS SEE STG MEMO NO.949.
047832,002269: #
047833,002270: # CALLING SEQUENCE - IN INTERPRETIVE MODE I.E., FOLLOWING TC INTPRET, SQRT NO ADDRESS IS ALLOWED
047834,002271:
047835,002272: # INPUT SCALING THE BINARY POINT IS ASSUMED TO THE RIGHT OF BIT 15. THE ANSWER IS RETURNED WITH THE SAME SCALING
047836,002273:
047837,002274: # SUBROUTINES - GENSCR, MPACSHR, SQRTSUB, ABORT
047838,002275:
047839,002276: # ABORT EXIT MODE - ABORTS ON NEGATIVE INPUT -1.2X10E-4 (77775 OCTAL) OR LESS.
047840,002277: # DISPLAYS ERROR CODE 1302
047841,002278: # TC ABORT
047842,002279: # OCT 1302
047843,002280:
047844,002281: # DEBRIS - LOCATIONS BUF, MPTEMP, ADDRWD ARE USED
047845,002282:
047846,002283: 00,3206 03342 SQRT TC SQRTSUB # TAKE THE SQUARE ROOT OF MPAC.
047847,002284: 00,3207 10135 CCS MPTEMP # RETURNED NORMALIZED SQUARE ROOT. SEE IF
047848,002285: 00,3210 13212 TCF +2 # ANY UN-NORMALIZATION REQUIRED AND EXIT
047849,002286: 00,3211 16030 TCF DANZIG # IF NOT.
047850,002287:
047851,002288: 00,3212 63726 AD NEG12 # A RIGHT SHIFT OF MORE THAN 13 COULD BE
047852,002289: 00,3213 00006 EXTEND # REQUIRED IF INPUT WAS ZERO IN MPAC,+1.
047853,002290: 00,3214 63220 BZMF SQRTSHFT # GOES HERE IN MOST CASES.
047854,002291: 00,3215 22007 ZL # IF A LONG SHIFT IS REQUIRED, GO TO
047855,002292: 00,3216 22116 LXCH ADDRWD # GENERAL RIGHT SHIFT ROUTINES.
047856,002293: 00,3217 12303 TCF GENSCR +4 # ADDRWD WAS ZERO TO PREVENT ROUND.
047857,002294:
047858,002295: 00,3220 50135 SQRTSHFT INDEX MPTEMP # SELECT SHIFTING BIT AND EXIT THROUGH
047859,002296: 00,3221 34763 CAF BIT15 # SHIFT ROUTINES.
047860,002297: 00,3222 54135 TS MPTEMP
047861,002298: 00,3223 35003 CAF ZERO # TO ZERO MPAC +2 IN THE PROCESS.
047862,002299: 00,3224 12036 TCF MPACSHR +3
047863,002300:
047864,002301: 00,3225 06672 ABS TC BRANCH # TEST SIGN OF MPAC AND COMPLEMENT IF
047865,002302: 00,3226 16030 TCF DANZIG
047866,002303: 00,3227 16030 TCF DANZIG
047867,002304: 00,3230 17624 TCF COMP
047868,002305:
047869,002306: 00,3231 44777 VDEF CS FOUR # VECTOR DEFINE - ESSENTIALLY TREATS
047870,002307: 00,3232 26166 ADS PUSHLOC # SCALAR IN MPAC AS X COMPONENT, PUSHES UP
047871,002308: 00,3233 00006 EXTEND # FOR Y AND THEN AGAIN FOR Z.
047872,002309: 00,3234 50000 INDEX A
047873,002310: 00,3235 30003 DCA 2
047874,002311: 00,3236 52160 DXCH MPAC +3
047875,002312: 00,3237 00006 EXTEND
047876,002313: 00,3240 50166 INDEX PUSHLOC
047877,002314: 00,3241 30001 DCA 0
047878,002315: 00,3242 52162 DXCH MPAC +5
047879,002316: 00,3243 16470 TCF VMODE # MODE IS NON VECTOR.
047880,002317:
047881,002318: 00,3244 03316 VSQ TC VSQSUB # DOT MPAC WITH ITSELF.
047882,002319: 00,3245 17266 TCF DMODE # MODE IS NOW DP.
047883,002320:
047884,002321: 00,3246 00006 PUSH EXTEND # PUSH DOWN MPAC LEAVING IT LOADED.
047885,002322: 00,3247 30155 DCA MPAC
047886,002323: 00,3250 50166 INDEX PUSHLOC # PUSH DOWN FIRST TWO REGISTERS IN EACH
047887,002324: 00,3251 52001 DXCH 0
047888,002325:
047889,002326: 00,3252 50163 INDEX MODE # INCREMENT PUSHDOWN POINTER.
047890,002327: 00,3253 36213 CAF NO.WDS
047891,002328: 00,3254 26166 ADS PUSHLOC
047892,002329:
047893,002330: 00,3255 10163 CCS MODE
047894,002331: 00,3256 13271 TCF TPUSH # PUSH DOWN MPAC +2.
047895,002332: 00,3257 16030 TCF DANZIG # DONE FOR DP.
047896,002333:
047897,002334: 00,3260 00006 EXTEND # ON VECTOR, PUSH DOWN Y AND Z COMPONENTS.
047898,002335: 00,3261 30160 DCA MPAC +3
047899,002336: 00,3262 50166 INDEX PUSHLOC
047900,002337: 00,3263 51775 DXCH 0 -4
047901,002338: 00,3264 00006 EXTEND
047902,002339: 00,3265 30162 DCA MPAC +5
047903,002340: 00,3266 50166 INDEX PUSHLOC
047904,002341: 00,3267 51777 DXCH 0 -2
047905,002342: 00,3270 16030 TCF DANZIG
047906,002343:
047907,002344: 00,3271 30156 TPUSH CA MPAC +2
047908,002345: 00,3272 16523 TCF ENDTPUSH +2
047909,002346:
047910,002347: 00,3273 50120 RVQ INDEX FIXLOC # RVQ - RETURN IVA QPRET.
047911,002348: 00,3274 30052 CA QPRET
047912,002349: 00,3275 54117 TS POLISH
047913,002350: 00,3276 16621 TCF GOTO +4 # (ASSUME QPRET POINTS TO FIXED ONLY.)
047914,002351:
047915,002352: # THE FOLLOWING SUBROUTINES ARE USED IN SQUARING MPAC, IN BOTH THE SCALAR AND VECTOR SENSE. THEY ARE
047916,002353: # SPECIAL CASES OF DMPSUB AND DOTSUB, PUT IN TO SAVE SOME TIME.
047917,002354:
047918,002355: 00,3277 30155 DSQSUB CA MPAC +1 # SQUARES THE SCALAR CONTENTS OF MPAC.
047919,002356: 00,3300 00006 EXTEND
047920,002357: 00,3301 70000 SQUARE
047921,002358: 00,3302 54156 TS MPAC +2
047922,002359: 00,3303 35003 CAF ZERO # FORM 2(CROSS TERM).
047923,002360: 00,3304 56155 XCH MPAC +1
047924,002361: 00,3305 00006 EXTEND
047925,002362: 00,3306 70154 MP MPAC
047926,002363: 00,3307 20001 DDOUBL # AND MAYBE OVERFLOW.
047927,002364: 00,3310 20156 DAS MPAC +1 # AND SET A TO NET OVERFLOW.
047928,002365: 00,3311 56154 XCH MPAC
047929,002366: 00,3312 00006 EXTEND
047930,002367: 00,3313 70000 SQUARE
047931,002368: 00,3314 20155 DAS MPAC
047932,002369: 00,3315 00002 TC Q
047933,002370:
047934,002371: 00,3316 00006 VSQSUB EXTEND # DOTS THE VECTOR IN MPAC WITH ITSELF.
047935,002372: 00,3317 22137 QXCH DOTRET
047936,002373: 00,3320 03277 TC DSQSUB # SQUARE THE X COMPONENT.
047937,002374: 00,3321 52160 DXCH MPAC +3
047938,002375: 00,3322 52155 DXCH MPAC
047939,002376: 00,3323 52131 DXCH BUF # SO WE CAN END IN DOTSUB.
047940,002377: 00,3324 30156 CA MPAC +2
047941,002378: 00,3325 54132 TS BUF +2
047942,002379:
047943,002380: 00,3326 03277 TC DSQSUB # SQUARE Y COMPONENT.
047944,002381: 00,3327 52156 DXCH MPAC +1
047945,002382: 00,3330 20132 DAS BUF +1
047946,002383: 00,3331 60154 AD MPAC
047947,002384: 00,3332 60130 AD BUF
047948,002385: 00,3333 54130 TS BUF
047949,002386: 00,3334 13336 TCF +2
047950,002387: 00,3335 54121 TS OVFIND # IF OVERFLOW.
047951,002388:
047952,002389: 00,3336 52162 DXCH MPAC +5
047953,002390: 00,3337 52155 DXCH MPAC
047954,002391: 00,3340 03277 TC DSQSUB # SQUARE Z COMPONENT.
047955,002392: 00,3341 17154 TCF ENDDOT # END AS IN DOTSUB.
047956,002393:
047957,002394: # DOUBLE PRECISION SQUARE ROOT ROUTINE. TAKE THE SQUARE ROOT OF THE TRIPLE PRECISION (MPAC +2 USED ONLY
047958,002395: # IN NORMALIZATION) CONTENTS OF MPAC AND LEAVE THE NORMALIZED RESULT IN MPAC (C(MPAC) GREATER THAN OR EQUAL TO
047959,002396: # .5). THE RIGHT SHIFT COUNT (TO UNNORMALIZE) IS LEFT IN MPTEMP.
047960,002397:
047961,002398: 00,3342 35003 SQRTSUB CAF ZERO # START BY ZEROING RIGHT SHIFT COUNT.
047962,002399: 00,3343 54135 TS MPTEMP
047963,002400:
047964,002401: 00,3344 10154 CCS MPAC # CHECK FOR POSITIVE ARGUMENT, SHIFTING
047965,002402: 00,3345 13403 TCF SMPAC+ # FIRST SIGNIFICANT MPAC REGISTER INTO
047966,002403: 00,3346 13350 TCF +2 # MPAC ITSELF.
047967,002404: 00,3347 13372 TCF SQRTNEG # SEE IF MAG OF ARGUMENT LESS THAN 10(-4).
047968,002405:
047969,002406: 00,3350 56156 XCH MPAC +2 # MPAC IS ZERO - SHIFT LEFT 14.
047970,002407: 00,3351 56155 XCH MPAC +1
047971,002408: 00,3352 54154 TS MPAC
047972,002409: 00,3353 35005 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER.
047973,002410: 00,3354 54135 TS MPTEMP
047974,002411:
047975,002412: 00,3355 10154 CCS MPAC # SEE IF MPAC NOW PNZ.
047976,002413: 00,3356 13403 TCF SMPAC+
047977,002414: 00,3357 13361 TCF +2
047978,002415: 00,3360 13375 TCF ZEROANS # NEGATIVE BUT LESS THAN 10(-4) IN MAG.
047979,002416:
047980,002417: 00,3361 56155 XCH MPAC +1 # ZERO - SHIFT LEFT 14 AGAIN.
047981,002418: 00,3362 54154 TS MPAC
047982,002419: 00,3363 35005 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER.
047983,002420: 00,3364 26135 ADS MPTEMP
047984,002421:
047985,002422: 00,3365 10154 CCS MPAC
047986,002423: 00,3366 13403 TCF SMPAC+
047987,002424: 00,3367 00002 TC Q # SQRT(0) = 0.
047988,002425: 00,3370 13375 TCF ZEROANS
047989,002426: 00,3371 13450 TCF FIXROOT # DO NOT LEAVE SQRTSUB WITH -0 IN MPAC.
047990,002427:
047991,002428: 00,3372 10000 SQRTNEG CCS A # ARGUMENT IS NEGATIVE, BUT SEE IF SIGN-
047992,002429: 00,3373 13401 TCF SQRTABRT # CORRECTED ARGUMENT IS LESS THAN 10(-4)
047993,002430:
047994,002431: 00,3374 10155 CCS MPAC +1 # IN MAGNITUDE. IF SO, CALL ANSWER ZERO.
047995,002432: 00,3375 35003 ZEROANS CAF ZERO # FORCE ANSWER TO ZERO HERE.
047996,002433: 00,3376 13450 TCF FIXROOT
047997,002434: 00,3377 13401 TCF SQRTABRT
047998,002435: 00,3400 13450 TCF FIXROOT
047999,002436:
048000,002437: 00,3401 05701 SQRTABRT TC POODOO
048001,002438: 00,3402 21302 OCT 21302 # SQRT CALLED WITH NEGATIVE ARGUMENT
048002,002439:
048003,002440: 00,3403 62443 SMPAC+ AD -1/2+2 # SEE IF ARGUMENT GREATER THAN OR EQUAL TO
048004,002441: 00,3404 00006 EXTEND # .5.
048005,002442: 00,3405 63453 BZMF SRTEST # IF SO, SEE IF LESS THAN .25.
048006,002443:
048007,002444: 00,3406 52155 DXCH MPAC # WE WILL TAKE THE SQUARE ROOT OF MPAC/2.
048008,002445: 00,3407 22021 LXCH SR # SHIFT RIGHT 1 AND GO TO THE SQRT ROUTINE
048009,002446: 00,3410 00006 EXTEND
048010,002447: 00,3411 74764 MP HALF
048011,002448: 00,3412 52155 DXCH MPAC
048012,002449: 00,3413 56021 XCH SR
048013,002450: 00,3414 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW.
048014,002451:
048015,002452: 00,3415 32314 ARGHI CAF SLOPEHI # ARGUMENT BETWEEN .25 AND .5. GET A
048016,002453: 00,3416 00006 EXTEND # LINEAR APPROXIMATION FOR THIS RANGE.
048017,002454: 00,3417 70154 MP MPAC
048018,002455: 00,3420 62565 AD BIASHI # X0/2 = (MPAC/2)(SLOPEHI) + BIASHI/2.
048019,002456:
048020,002457: 00,3421 54130 +4 TS BUF # X0/2 (ARGLO ENTERS HERE).
048021,002458: 00,3422 30154 CA MPAC # SINGLE-PRECISION THROUGHOUT.
048022,002459: 00,3423 00006 EXTEND
048023,002460: 00,3424 74764 MP HALF # .5(MPAC/2)
048024,002461: 00,3425 00006 EXTEND
048025,002462: 00,3426 10130 DV BUF # .5(MPAC/2)/(X0/2)
048026,002463: 00,3427 26130 ADS BUF # X1 = X0/2 + .5(MPAC/2)/(X0/2).
048027,002464:
048028,002465: 00,3430 00006 EXTEND
048029,002466: 00,3431 74764 MP HALF # FORM UP X1/2.
048030,002467: 00,3432 52155 DXCH MPAC # SAVE AND BRING OUT ARGUMENT.
048031,002468: 00,3433 00006 EXTEND # TAKE DP QUOTIENT WITH X1.
048032,002469: 00,3434 10130 DV BUF
048033,002470: 00,3435 54131 TS BUF +1 # SAVE MAJOR PART OF QUOTIENT.
048034,002471: 00,3436 35003 CAF ZERO # FORM MINOR PART OF QUOTIENT USING
048035,002472: 00,3437 56001 XCH L # (REMAINDER,0).
048036,002473: 00,3440 00006 EXTEND
048037,002474: 00,3441 10130 DV BUF
048038,002475: 00,3442 54001 TS L # IN PREPARATION FOR DAS.
048039,002476: 00,3443 30131 CA BUF +1
048040,002477: 00,3444 20155 DAS MPAC # X2 = X1/2 + (MPAC/2)X1
048041,002478:
048042,002479: 00,3445 00006 EXTEND # OVERFLOWS IF ARG. NEAR POSMAX.
048043,002480: 00,3446 13452 BZF TCQBNK00
048044,002481: 00,3447 34761 CAF POSMAX
048045,002482: 00,3450 54154 FIXROOT TS MPAC
048046,002483: 00,3451 54155 TS MPAC +1
048047,002484: 00,3452 00002 TCQBNK00 TC Q # RETURN TO CALLER TO UNNORMALIZE, ETC.
048048,002485:
048049,002486: 00,3453 64765 SRTEST AD QUARTER # ARGUMENT WAS LESS THAN .5, SEE IF LESS
048050,002487: 00,3454 00006 EXTEND # THAN .25.
048051,002488: 00,3455 63477 BZMF SQRTNORM # IF SO, BEGIN NORMALIZATION.
048052,002489:
048053,002490: 00,3456 52155 DXCH MPAC # IF BETWEEN .5 AND .25, SHIFT RIGHT 1 AND
048054,002491: 00,3457 22021 LXCH SR # START AT ARGLO.
048055,002492: 00,3460 00006 EXTEND
048056,002493: 00,3461 74764 MP HALF
048057,002494: 00,3462 52155 DXCH MPAC
048058,002495: 00,3463 56021 XCH SR
048059,002496: 00,3464 26155 ADS MPAC +1 # NO OVERFLOW.
048060,002497:
048061,002498: 00,3465 33006 ARGLO CAF SLOPELO # (NORMALIZED) ARGUMENT BETWEEN .125 AND
048062,002499: 00,3466 00006 EXTEND # .25
048063,002500: 00,3467 70154 MP MPAC
048064,002501: 00,3470 62270 AD BIASLO
048065,002502: 00,3471 13421 TCF ARGHI +4 # BEGIN SQUARE ROOT.
048066,002503:
048067,002504: 00,3472 00006 SQRTNM2 EXTEND # SHIFT LEFT 2 AND INCREMENT RIGHT SHIFT
048068,002505: 00,3473 30156 DCA MPAC +1 # COUNT (FOR TERMINAL UNNORMALIZATION).
048069,002506: 00,3474 20156 DAS MPAC +1
048070,002507: 00,3475 60154 AD MPAC
048071,002508: 00,3476 26154 ADS MPAC # (NO OVERFLOW).
048072,002509:
048073,002510: 00,3477 24135 SQRTNORM INCR MPTEMP # FIRST TIME THROUGH, JUST SHIFT LEFT 1
048074,002511: 00,3500 00006 EXTEND # (PUTS IN EFFECTIVE RIGHT SHIFT SINCE
048075,002512: 00,3501 30156 DCA MPAC +1 # WE WANT MPAC/2).
048076,002513: 00,3502 20156 DAS MPAC +1
048077,002514: 00,3503 60154 AD MPAC
048078,002515: 00,3504 26154 ADS MPAC # (AGAIN NO OVERFLOW).
048079,002516: 00,3505 60000 DOUBLE
048080,002517: 00,3506 54022 TS CYL
048081,002518:
048082,002519: 00,3507 10022 NORMTEST CCS CYL # SEE IF ARGUMENT NOW NORMALIZED AT
048083,002520: 00,3510 10022 CCS CYL # GREATER THAN .125.
048084,002521: 00,3511 13472 TCF SQRTNM2 # NO - SHIFT LEFT 2 MORE AND TRY AGAIN.
048085,002522: 00,3512 13415 TCF ARGHI # YES - NOW BETWEEN .5 AND .25.
048086,002523: 00,3513 13465 TCF ARGLO # ARGUMENT NOW BETWEEN .25 AND .125.
048087,002524:
048088,002525: # TRIGONOMETRIC FUNCTION PACKAGE.
048089,002526:
048090,002527: # THE FOLLOWING TRIGONOMETRIC FUNCTIONS ARE AVAILABLE AS INTERPRETIVE OPERATIONS:
048091,002528:
048092,002529: # 1. SIN COMPUTES (1/2)SINE(2 PI MPAC).
048093,002530: # 2. COS COMPUTES (1/2)COSINE(2 PI MPAC).
048094,002531:
048095,002532: # 3. ASIN COMPUTES (1/2PI)ARCSINE(2 MPAC).
048096,002533: # 4. ACOS COMPUTES (1/2PI)ARCCOSINE(2 MPAC).
048097,002534:
048098,002535: # SIN-ASIN AND COS-ACOS ARE MUTUALLY INVERSE, IE SIN(ASIN(X)) = X.
048099,002536:
048100,002537: 00,3514 06672 COSINE TC BRANCH # FINDS COSINE USING THE IDENTITY
048101,002538: 00,3515 13520 TCF +3 # COS(X) = SIN(PI/2 - ABS(X)).
048102,002539: 00,3516 13523 TCF PRESINE
048103,002540: 00,3517 13523 TCF PRESINE
048104,002541:
048105,002542: 00,3520 00006 +3 EXTEND
048106,002543: 00,3521 40155 DCS MPAC
048107,002544: 00,3522 52155 DXCH MPAC
048108,002545:
048109,002546: 00,3523 34765 PRESINE CAF QUARTER # PI/2 SCALED.
048110,002547: 00,3524 26154 ADS MPAC
048111,002548:
048112,002549: 00,3525 52155 SINE DXCH MPAC # DOUBLE ARGUMENT.
048113,002550: 00,3526 20001 +1 DDOUBL
048114,002551: 00,3527 54000 OVSK # SEE IF OVERFLOW PRESENT.
048115,002552: 00,3530 13533 TCF +3 # IF NOT, ARGUMENT OK AS IS.
048116,002553:
048117,002554: 00,3531 00006 EXTEND # IF SO, WE LOST (OR GAINED) PI, SO
048118,002555: 00,3532 40001 DCOM # COMPLEMENT MPAC USING THE IDENTITY
048119,002556: # SIN(X-(+)PI) = SIN(-X).
048120,002557: 00,3533 52155 +3 DXCH MPAC
048121,002558: 00,3534 30154 CA MPAC # SEE IF ARGUMENT GREATER THAN .5 IN
048122,002559: 00,3535 60000 DOUBLE # MAGNITUDE. IF SO, REDUCE IT TO LESS THAN
048123,002560: 00,3536 54001 TS L # .5 (+-PI/2 SCALED) AS FOLLOWS:
048124,002561: 00,3537 13550 TCF SN1
048125,002562:
048126,002563: 00,3540 50000 INDEX A # IF POSITIVE, FORM PI - X, IF NEGATIVE
048127,002564: 00,3541 34763 CAF NEG1/2 +1 # USE -PI -X.
048128,002565: 00,3542 60000 DOUBLE
048129,002566: 00,3543 00006 EXTEND
048130,002567: 00,3544 60154 SU MPAC # GUARANTEED NO OVERFLOW.
048131,002568: 00,3545 54154 TS MPAC
048132,002569: 00,3546 40155 CS MPAC +1
048133,002570: 00,3547 54155 TS MPAC +1
048134,002571:
048135,002572: 00,3550 00006 SN1 EXTEND # SET UP TO EVALUATE HASTINGS POLYNOMIAL
048136,002573: 00,3551 30155 DCA MPAC
048137,002574: 00,3552 52134 DXCH BUF2
048138,002575: 00,3553 03277 TC DSQSUB # SQUARE MPAC.
048139,002576:
048140,002577: 00,3554 07171 TC POLY # EVALUATE FOURTH ORDER POLYNOMIAL.
048141,002578: 00,3555 00003 DEC 3 B-14
048142,002579: 00,3556 14441 37325 2DEC +.3926990796
048143,002580: 00,3560 53250 60764 2DEC -.6459637111
048144,002581: 00,3562 12146 21276 2DEC +.318758717
048145,002582: 00,3564 75466 71471 2DEC -.074780249
048146,002583: 00,3566 00236 32757 2DEC +.009694988
048147,002584:
048148,002585: 00,3570 32467 CAF LBUF2 # MULTIPLY BY ARGUMENT AND SHIFT LEFT 2.
048149,002586: 00,3571 07055 TC DMPSUB -1
048150,002587:
048151,002588: 00,3572 00006 EXTEND
048152,002589: 00,3573 30156 DCA MPAC +1
048153,002590: 00,3574 20156 DAS MPAC +1
048154,002591: 00,3575 60154 AD MPAC
048155,002592: 00,3576 26154 ADS MPAC # NEITHER SHIFT OVERFLOWS.
048156,002593: 00,3577 00006 EXTEND
048157,002594: 00,3600 30156 DCA MPAC +1
048158,002595: 00,3601 20156 DAS MPAC +1
048159,002596: 00,3602 60154 AD MPAC
048160,002597: 00,3603 26154 ADS MPAC
048161,002598: 00,3604 16030 TCF DANZIG
048162,002599:
048163,002600: # ARCSIN/ARCCOS ROUTINE.
048164,002601:
048165,002602: 00,3605 33626 ARCSIN CAF LASINEX # COMPUTE ARCSIN BY USING THE IDENTITY
048166,002603: 00,3606 13610 TCF +2 # ARCSIN(X) = PI/2 - ARCCOS(X).
048167,002604:
048168,002605: 00,3607 33710 ARCCOS CAF LDANZIG # (EXITS IMMEDIATELY).
048169,002606: 00,3610 54136 TS ESCAPE
048170,002607: 00,3611 06672 TC BRANCH # TEST SIGN OF INPUT.
048171,002608: 00,3612 13622 TCF ACOSST # START IMMEDIATELY IF POSITIVE.
048172,002609: 00,3613 13724 TCF ACOSZERO # ARCCOS(0) = PI/2 = .25.
048173,002610: 00,3614 00006 EXTEND # IF NEGATIVE, USE THE IDENTITY
048174,002611: 00,3615 40155 DCS MPAC # ARCCOS(X) = PI - ARCCOS(-X), FORCING
048175,002612: 00,3616 52155 DXCH MPAC # ARGUMENT POSITIVE.
048176,002613: 00,3617 33727 CAF TCSUBTR # SET EXIT TO DO ABOVE BEFORE
048177,002614: 00,3620 56136 XCH ESCAPE # ARCSIN/ARCCOS CONSIDERATIONS.
048178,002615: 00,3621 54137 TS ESCAPE2
048179,002616:
048180,002617: 00,3622 44764 ACOSST CS HALF # TEST MAGNITUDE OF INPUT.
048181,002618: 00,3623 60154 AD MPAC
048182,002619: 00,3624 10000 CCS A
048183,002620: 00,3625 13716 TCF ACOSOVF # THIS IS PROBABLY AN OVERFLOW CASE.
048184,002621:
048185,002622: 00,3626 13704 LASINEX TCF ASINEX
048186,002623:
048187,002624: 00,3627 13637 TCF ACOSST2 # NO OVERFLOW - PROCEED.
048188,002625:
048189,002626: 00,3630 10155 CCS MPAC +1 # IF MAJOR PART IS .5, CALL ANSWER 0
048190,002627: 00,3631 35003 CAF ZERO # UNLESS MINOR PART NEGATIVE.
048191,002628: 00,3632 13634 TCF ACOS=0
048192,002629:
048193,002630: 00,3633 13637 TCF ACOSST2
048194,002631:
048195,002632: 00,3634 54155 ACOS=0 TS MPAC +1
048196,002633: 00,3635 54154 +1 TS MPAC
048197,002634: 00,3636 00136 TC ESCAPE
048198,002635:
048199,002636: 00,3637 00006 ACOSST2 EXTEND # NOW THAT ARGUMENT IS IN PROPER RANGE,
048200,002637: 00,3640 40155 DCS MPAC # BEGIN COMPUTATION. USE HASTINGS
048201,002638: 00,3641 64764 AD HALF # APPROXIMATION ARCCOS(X) = SQRT(1-X)P(X)
048202,002639: 00,3642 52155 DXCH MPAC # IN A SCALED VERSION WHERE P(X) IS A
048203,002640: 00,3643 52134 DXCH BUF2 # SEVENTH ORDER POLYNOMIAL.
048204,002641:
048205,002642: 00,3644 03342 TC SQRTSUB # RETURNS WITH NORMALIZED SQUARE ROOT.
048206,002643:
048207,002644: 00,3645 10135 CCS MPTEMP # SEE IF UN-NORMALIZATION REQUIRED.
048208,002645: 00,3646 13711 TCF ACOSSHR # IF SO.
048209,002646:
048210,002647: 00,3647 52155 ACOS3 DXCH MPAC # SET UP FOR POLYNOMIAL EVALUATION.
048211,002648: 00,3650 52134 DXCH BUF2
048212,002649: 00,3651 52155 DXCH MPAC
048213,002650:
048214,002651: 00,3652 07171 TC POLY
048215,002652: 00,3653 00006 DEC 6 B-14
048216,002653: 00,3654 13240 23630 2DEC +.353553385 # COEFFICIENTS ARE C 2(+I)/PISQRT(2) WHERE
048217,002654: 00,3656 74721 47775 2DEC* -.0483017006 B+1* # I
048218,002655: 00,3660 02440 20237 2DEC* +.0200273085 B+2* # WHERE C STANDS FOR ORIGINAL COEFFS.
048219,002656: 00,3662 75067 70742 2DEC* -.0112931863 B+3*
048220,002657: 00,3664 03436 26756 2DEC* +.00695311612 B+4*
048221,002658: 00,3666 74037 57640 2DEC* -.00384617957 B+5*
048222,002659: 00,3670 03046 07143 2DEC* +.001501297736 B+6*
048223,002660: 00,3672 76654 42244 2DEC* -.000284160334 B+7*
048224,002661:
048225,002662: 00,3674 32467 CAF LBUF2 # DO FINAL MULTIPLY AND GO TO ANY
048226,002663: 00,3675 07055 TC DMPSUB -1 # EPILOGUE SEQUENCES.
048227,002664: 00,3676 00136 TC ESCAPE
048228,002665:
048229,002666: 00,3677 00006 SUBTR EXTEND # EPILOGUE FOR NEGATIVE INPUTS TO ARCCOS.
048230,002667: 00,3700 40155 DCS MPAC
048231,002668: 00,3701 64764 AD HALF # FORMS PI - ARCCOS(-X) = ARCCOS(X).
048232,002669: 00,3702 52155 DXCH MPAC
048233,002670: 00,3703 00137 TC ESCAPE2 # GO TO POSSIBLE ARCSIN EPILOGUE.
048234,002671:
048235,002672: 00,3704 00006 ASINEX EXTEND
048236,002673: 00,3705 40155 DCS MPAC # ARCSIN EPILOGUE - GET ARCSIN(X)
048237,002674: 00,3706 64765 AD QUARTER # = PI/2 - ARCCOS(X).
048238,002675: 00,3707 52155 DXCH MPAC
048239,002676: 00,3710 16030 LDANZIG TCF DANZIG
048240,002677:
048241,002678: 00,3711 50000 ACOSSHR INDEX A # THE SHIFT RIGHT IS LESS THAN 14 SINCE
048242,002679: 00,3712 34764 CAF BIT14 # THE INPUT WAS NON-ZERO DP.
048243,002680: 00,3713 54135 TS MPTEMP
048244,002681: 00,3714 02073 TC VSHRRND # DP SHIFT RIGHT AND ROUND.
048245,002682: 00,3715 13647 TCF ACOS3 # PROCEED.
048246,002683:
048247,002684: 00,3716 00006 ACOSOVF EXTEND # IF MAJOR PART WAS ONLY 1 MORE THAN .5,
048248,002685: 00,3717 13634 BZF ACOS=0 # CALL ANSWER ZERO.
048249,002686:
048250,002687: 00,3720 05644 ACOSABRT TC ALARM # IF OVERFLOW, CALL ANSWER ZERO BUT
048251,002688: 00,3721 01301 OCT 1301 # SOUND AN ALARM.
048252,002689:
048253,002690: 00,3722 35003 CAF ZERO
048254,002691: 00,3723 13634 TCF ACOS=0
048255,002692:
048256,002693: 00,3724 34765 ACOSZERO CAF QUARTER # ACOS(0) = PI/2.
048257,002694: 00,3725 13635 TCF ACOS=0 +1 # SET MPAC AND EXIT VIA ESCAPE.
048258,002695:
048259,002696: 00,3726 77763 NEG12 DEC -12 B-14
048260,002697: 00,3727 13677 TCSUBTR TCF SUBTR
048261,002698:
048262,002699: # THE FOLLOWING INSTRUCTIONS ARE AVAILABLE FOR SETTING, MODIFYING, AND BRANCHING ON INDEX REGISTERS:
048263,002700:
048264,002701: # 1. AXT ADDRESS TO INDEX TRUE.
048265,002702: # 1. AXC ADDRESS TO INDEX COMPLEMENTED.
048266,002703: # 3. LXA LOAD INDEX FROM ERASABLE.
048267,002704: # 4. LXC LOAD INDEX COMPLEMENTED FROM ERASABLE.
048268,002705: # 5. SXA STORE INDEX IN ERASABLE.
048269,002706: # 6. XCHX EXCHANGE INDEX REIGSTER WITH ERASABLE.
048270,002707:
048271,002708: # 7. INCR INCREMENT INDEX REGISTER.
048272,002709: # 8. XAD ERASABLE ADD TO INDEX REGISTER.
048273,002710: # 9. XSU ERASABLE SUBTRACT FROM INDEX REGISTER.
048274,002711:
048275,002712: # 10. TIX BRANCH ON INDEX REGISTER AND DECREMENT.
048276,002713:
048277,002714: 01,2000 SETLOC INTERB1
048278,002715: 01,2000 BANK
048279,002716:
048280,002717: 01,2347 COUNT* $$/INTER
048281,002718: 01,2347 02444 AXT TC TAGSUB # SELECT APPROPRIATE INDEX REGISTER.
048282,002719: 01,2350 30117 CA POLISH
048283,002720: 01,2351 50130 XSTORE INDEX INDEXLOC # CONTAINS C(FIXLOC) OR C(FIXLOC)+1.
048284,002721: 01,2352 54046 TS X1
048285,002722: 01,2353 16030 TCF DANZIG
048286,002723:
048287,002724: 01,2354 02444 AXC TC TAGSUB
048288,002725: 01,2355 40117 CS POLISH
048289,002726: 01,2356 02351 TC XSTORE
048290,002727:
048291,002728: 01,2357 02432 LXA TC 15ADRERS # LOAD INDEX REGISTER FROM ERASABLE.
048292,002729: 01,2360 50117 INDEX POLISH
048293,002730: 01,2361 30000 CA 0
048294,002731: 01,2362 12351 TCF XSTORE
048295,002732:
048296,002733: 01,2363 02432 LXC TC 15ADRERS # LOAD NDX REG FROM ERASABLE COMPLEMENTED.
048297,002734: 01,2364 50117 INDEX POLISH
048298,002735: 01,2365 40000 CS 0
048299,002736: 01,2366 12351 TCF XSTORE
048300,002737:
048301,002738: 01,2367 02432 SXA TC 15ADRERS # STORE INDEX REGISTER IN ERASABLE.
048302,002739: 01,2370 50130 INDEX INDEXLOC
048303,002740: 01,2371 30046 CA X1
048304,002741: 01,2372 50117 MSTORE1 INDEX POLISH
048305,002742: 01,2373 54000 TS 0
048306,002743: 01,2374 16030 TCF DANZIG
048307,002744:
048308,002745: 01,2375 02432 XCHX TC 15ADRERS # EXCHANGE INDEX REGISTER WITH ERASABLE.
048309,002746: 01,2376 50117 INDEX POLISH
048310,002747: 01,2377 30000 CA 0
048311,002748: 01,2400 50130 INDEX INDEXLOC
048312,002749: 01,2401 56046 XCH X1
048313,002750: 01,2402 12372 TCF MSTORE1
048314,002751:
048315,002752: 01,2403 02432 XAD TC 15ADRERS # ADD ERASABLE TO INDEX REGISTER.
048316,002753: 01,2404 50117 INDEX POLISH
048317,002754: 01,2405 30000 CA 0
048318,002755: 01,2406 50130 XAD2 INDEX INDEXLOC
048319,002756: 01,2407 26046 ADS X1 # IGNORING OVERFLOWS.
048320,002757: 01,2410 16030 TCF DANZIG
048321,002758:
048322,002759: 01,2411 02444 INCR TC TAGSUB # INCREMENT INDEX REGISTER.
048323,002760: 01,2412 30117 CA POLISH
048324,002761: 01,2413 12406 TCF XAD2
048325,002762:
048326,002763: 01,2414 02432 XSU TC 15ADRERS # SUBTRACT ERASABLE FROM INDEX REGISTER.
048327,002764: 01,2415 50117 INDEX POLISH
048328,002765: 01,2416 40000 CS 0
048329,002766: 01,2417 12406 TCF XAD2
048330,002767:
048331,002768: 01,2420 02444 TIX TC TAGSUB # BRANCH AND DECREMENT ON INDEX.
048332,002769: 01,2421 50130 INDEX INDEXLOC
048333,002770: 01,2422 40050 CS S1
048334,002771: 01,2423 50130 INDEX INDEXLOC
048335,002772: 01,2424 60046 AD X1
048336,002773: 01,2425 00006 EXTEND # NO OPERATION IF DECREMENTED INDEX IS
048337,002774: 01,2426 66030 BZMF DANZIG # NEGATIVE OR ZERO.
048338,002775:
048339,002776: 01,2427 50130 DOTIXBR INDEX INDEXLOC
048340,002777: 01,2430 56046 XCH X1 # IGNORING OVERFLOWS.
048341,002778:
048342,002779: 01,2431 16615 TCF GOTO # DO THE BRANCH USING THE CADR IN POLISH.
048343,002780:
048344,002781: # SUBROUTINE TO CONVERT AN ERASABLE ADDRESS (11 BITS) TO AN EBANK SETTING AND SUBADDRESS.
048345,002782:
048346,002783: 01,2432 40117 15ADRERS CS POLISH
048347,002784: 01,2433 65020 AD DEC45
048348,002785: 01,2434 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA?
048349,002786: 01,2435 30120 CA FIXLOC # YES. ADD FIXLOC. EBANK OK AS IS.
048350,002787: 01,2436 12443 TCF +5
048351,002788:
048352,002789: 01,2437 35037 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS.
048353,002790: 01,2440 56117 XCH POLISH
048354,002791: 01,2441 54003 TS EBANK
048355,002792: 01,2442 74350 MASK LOW8
048356,002793: 01,2443 26117 +5 ADS POLISH # FALL INTO TAGSUB, AND RETURN VIA Q.
048357,002794:
048358,002795: # SUBROUTINE WHICH SETS THE ADDRESS OF THE SPECIFIED INDEX IN INDEXLOC. (ACTUALLY, THE ADDRESS -38D.)
048359,002796:
048360,002797: 01,2444 30120 TAGSUB CA FIXLOC
048361,002798: 01,2445 54130 TS INDEXLOC
048362,002799:
048363,002800: 01,2446 10020 CCS CYR # BIT 15 SPECIFIES INDEX.
048364,002801: 01,2447 24130 INCR INDEXLOC # 0 MEANS USE X2.
048365,002802: 01,2450 00002 TC Q
048366,002803: 01,2451 00002 TC Q # 1 FOR X1.
048367,002804:
048368,002805: # MISCELLANEOUS OPERATION CODES WITH DIRECT ADDRESSES. INCLUDED HERE ARE:
048369,002806:
048370,002807: # 1. ITA STORE QPRET (RETURN ADDRESS) IN ERASABLE.
048371,002808: # 2. CALL CALL A SUBROUTINE, LEAVING RETURN IN QPRET.
048372,002809: # 3. RTB RETURN TO BASIC LANGUAGE AT THE GIVEN ADDRESS.
048373,002810: # 4. BHIZ BRANCH IF THE HIGHORDER OF MPAC IS ZERO (SINGLE PRECISION).
048374,002811: # 5. BOV BRANCH ON OVERFLOW.
048375,002812: # 6. GOTO SIMPLE SEQUENCE CHANGE.
048376,002813:
048377,002814: 01,2452 10020 RTB/BHIZ CCS CYR
048378,002815: 01,2453 30117 RTB CA POLISH
048379,002816: 01,2454 04652 TC SWCALL -1 # SO A "TC Q" FROM ROUTINE LEADS TO DANZIG
048380,002817:
048381,002818: 01,2455 10154 BHIZ CCS MPAC
048382,002819: 01,2456 16030 TCF DANZIG
048383,002820: 01,2457 16615 TCF GOTO
048384,002821: 01,2460 16030 TCF DANZIG
048385,002822: 01,2461 16615 TCF GOTO
048386,002823:
048387,002824: 01,2462 10121 BOV(B) CCS OVFIND # BRANCH ON OVERFLOW TO BASIC OR INTERP.
048388,002825: 01,2463 12465 TCF +2
048389,002826: 01,2464 16030 TCF DANZIG
048390,002827: 01,2465 54121 TS OVFIND
048391,002828: 01,2466 10020 CCS CYR
048392,002829: 01,2467 12453 TCF RTB # IF BASIC.
048393,002830: 01,2470 00360 B5TOB8 OCT 360
048394,002831: 01,2471 16615 TCF GOTO
048395,002832:
048396,002833: 01,2472 10020 BZE/GOTO CCS CYR # SEE WHICH OP-CODE IS DESIRED.
048397,002834: 01,2473 06672 TC BRANCH # DO BZE.
048398,002835: 01,2474 16030 TCF DANZIG
048399,002836: 01,2475 16615 TCF GOTO # DO GOTO.
048400,002837: 01,2476 16030 TCF DANZIG
048401,002838:
048402,002839: 01,2477 10020 BPL/BMN CCS CYR
048403,002840: 01,2500 12506 TCF BPL
048404,002841: 01,2501 12000 5B10 DEC 5 B+10 # SHIFTS OP CODE IN SWITCH INSTRUCTION ADR
048405,002842:
048406,002843: 01,2502 06672 TC BRANCH # DO BMN.
048407,002844: 01,2503 16030 TCF DANZIG
048408,002845: 01,2504 16030 TCF DANZIG
048409,002846: 01,2505 16615 TCF GOTO # ONLY IF NNZ.
048410,002847:
048411,002848: 01,2506 06672 BPL TC BRANCH
048412,002849: 01,2507 16615 TCF GOTO # IF POSITIVE OR ZERO.
048413,002850: 01,2510 16615 TCF GOTO
048414,002851: 01,2511 16030 TCF DANZIG
048415,002852:
048416,002853: 01,2512 10020 CALL/ITA CCS CYR
048417,002854: 01,2513 16607 TCF CALL
048418,002855:
048419,002856: 01,2514 12515 NOOP # CANNOT GET HERE
048420,002857: 01,2515 02432 TC 15ADRERS # STORE QPRET. (TAGSUB AFTER 15ADRERS IS
048421,002858: 01,2516 50120 INDEX FIXLOC # SLOW IN THIS CASE, BUT SAVES STORAGE.)
048422,002859: 01,2517 30052 CA QPRET
048423,002860: 01,2520 12372 TCF MSTORE1
048424,002861:
048425,002862: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR ALTERING AND TESTING INTERPRETIVE SWITCHES:
048426,002863: #
048427,002864: # 00 BONSET SET A SWITCH AND DO A GOTO IF IT WAS ON.
048428,002865: # 01 SETGO SET A SWITCH AND DO A GOTO.
048429,002866: # 02 BOFSET SET A SWITCH AND DO A GOTO IF IT WAS OFF
048430,002867: # 03 SET SET A SWITCH.
048431,002868:
048432,002869: # 04 BONINV INVERT A SWITCH AND BRANCH IF IT WAS ON.
048433,002870: # 05 INVGO INVERT A SWITCH AND DO A GOTO.
048434,002871: # 06 BOFINV INVERT A SWITCH AND BRANCH IF IT WAS OFF
048435,002872: # 07 INVERT INVERT A SWITCH.
048436,002873:
048437,002874: # 10 BONCLR CLEAR A SWITCH AND BRANCH IF IT WAS ON.
048438,002875: # 11 CLRGO CLEAR A SWITCH AND DO A GOTO.
048439,002876: # 12 BOFCLR CLEAR A SWITCH AND BRANCH IF IT WAS OFF.
048440,002877: # 13 CLEAR CLEAR A SWITCH.
048441,002878:
048442,002879: # 14 BON BRANCH IF A SWITCH WAS ON.
048443,002880: # 16 BOFF BRANCH IF A SWITCH WAS OFF.
048444,002881:
048445,002882: # THE ADDRESS SUPPLIED WITH THE SWITCH INSTRUCTION IS INTERPRETED AS FOLLOWS:
048446,002883:
048447,002884: # BITS 1-4 SWITCH BIT NUMBER (1-15).
048448,002885: # BITS 5-8 SWITCH OPERATION NUMBER.
048449,002886: # BITS 9- SWITCH WORD NUMBER (UP TO 64 SWITCH WORDS).
048450,002887:
048451,002888: # THE ADDRESS ITSELF IS MADE UP BY THE YUL SYSTEM ASSEMBLER. THE BRANCH INSTRUCTIONS REQUIRE TWO
048452,002889: # ADDRESSES, THE SECOND TAKEN AS THE DIRECT (OR INDIRECT IF IN ERASABLE) ADDRESS OF THE BRANCH.
048453,002890:
048454,002891: 01,2521 35010 SWITCHES CAF LOW4 # LEAVE THE SWITCH BIT IN SWBIT .
048455,002892: 01,2522 70117 MASK POLISH
048456,002893: 01,2523 50000 INDEX A
048457,002894: 01,2524 34763 CAF BIT15 # (NUMBER FROM LEFT TO RIGHT.)
048458,002895: 01,2525 54131 TS SWBIT
048459,002896:
048460,002897: 01,2526 34773 CAF BIT7 # LEAVE THE SWITCH NUMBER IN SWWORD.
048461,002898: 01,2527 00006 EXTEND
048462,002899: 01,2530 70117 MP POLISH
048463,002900: 01,2531 54130 TS SWWORD
048464,002901:
048465,002902: 01,2532 00004 INHINT # DURING SWITCH CHANGE SO RUPT CAN USE TOO
048466,002903: 01,2533 50000 INDEX A # LEAVE THE SWITCH WORD ITSELF IN L.
048467,002904: 01,2534 30074 CA STATE
048468,002905: 01,2535 54002 TS Q # Q WILL BE USED AS A CHANNEL.
048469,002906: 01,2536 34767 CAF BIT11
048470,002907: 01,2537 00006 EXTEND # DISPATCH SWITCH BIT OPERATION AS IN BITS
048471,002908: 01,2540 70117 MP POLISH # 7-8 OF POLISH.
048472,002909: 01,2541 73032 MASK B3TOB4 # GETS 4X2-BIT CODE.
048473,002910: 01,2542 50000 INDEX A
048474,002911: 01,2543 12544 TCF +1
048475,002912:
048476,002913: 01,2544 30131 +1 CA SWBIT # 00 - SET SWITCH IN QUESTION.
048477,002914: 01,2545 00006 EXTEND
048478,002915: 01,2546 04002 ROR QCHAN
048479,002916: 01,2547 12556 TCF SWSTORE
048480,002917:
048481,002918: 01,2550 30131 +5 CA SWBIT # 01 - INVERT SWITCH.
048482,002919: 01,2551 00006 EXTEND
048483,002920: 01,2552 06002 RXOR QCHAN
048484,002921: 01,2553 12556 TCF SWSTORE
048485,002922:
048486,002923: 01,2554 40131 +9D CS SWBIT # 10 - CLEAR.
048487,002924: 01,2555 70002 MASK Q
048488,002925: 01,2556 50130 SWSTORE INDEX SWWORD
048489,002926: 01,2557 54074 TS STATE # NEW SWITCH WORD.
048490,002927: 01,2560 00003 +13D RELINT # 11 - NOOP.
048491,002928: 01,2561 34765 CAF BIT13
048492,002929: 01,2562 00006 EXTEND # DISPATCH SEQUCE CHANGING OR BRANCHING
048493,002930: 01,2563 70117 MP POLISH # CODE.
048494,002931: 01,2564 73032 MASK B3TOB4
048495,002932: 01,2565 50000 INDEX A
048496,002933: 01,2566 12567 TCF +1 # ORIGINALLY STORED IN BITS 5-6.
048497,002934:
048498,002935: 01,2567 40002 +1 CS Q # 00 - BRANCH IF ON.
048499,002936: 01,2570 70131 TEST MASK SWBIT
048500,002937: 01,2571 10000 CCS A
048501,002938: 01,2572 12602 TCF SWSKIP
048502,002939:
048503,002940: 01,2573 16664 +5 TCF SWBRANCH # 01 - GO TO.
048504,002941:
048505,002942: 01,2574 12602 TCF SWSKIP # HERE ONLY ON BIT 15.
048506,002943:
048507,002944: 01,2575 12576 NOOP # CANNOT GET HERE
048508,002945: 01,2576 12577 NOOP # CANNOT GET HERE
048509,002946: 01,2577 30002 +9D CA Q # 10 - BRANCH IF OFF.
048510,002947: 01,2600 12570 TCF TEST
048511,002948:
048512,002949: 01,2601 12602 +11D NOOP # CANNOT GET HERE
048513,002950: 01,2602 24164 SWSKIP INCR LOC
048514,002951:
048515,002952: 01,2603 16030 +13D TCF DANZIG # 11 - NOOP.
048516,002953:
048517,002954: 01,2604 01,3032 B3TOB4 EQUALS COREINC
048518,002955: 01,2604 01,2521 SW/ EQUALS SWITCHES
End of include-file INTERPRETER.agc. Parent file is MAIN.agc