Source Code
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These source-code files are part of a reconstructed copy of LM131 revision 1,
the final release of the Apollo 13 Lunar Module (LM) Apollo Guidance Computer
(AGC) software.
The source reconstruction began with source code of Luminary 131 previously
transcribed from a digitized copy of that program. A dump of the flight spare
core rope memory module B5, part number 2010802-171, serial number RAY 411,
was obtained. This module is the only module different between Luminary 131
and LM131 revision 1. The dump was disassembled and all changes were incorporated
into these source files. Note that page numbers in the reconstructed code match
those on the Luminary 131 printout, although the changed code would likely have
changed page numbers for a real LM131 revision 1 listing.
Comments from the original source code are prefixed with a single '#' symbol,
whereas comments added later are prefixed by "##" or "###". Report any errors
noted by creating an
issue report at the Virtual AGC
project's GitHub repository.
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042645,000002: ## Copyright: Public domain.
042646,000003: ## Filename: INTERPRETER.agc
042647,000004: ## Purpose: A section of LM131 revision 1.
042648,000005: ## It is part of the reconstructed source code for the final
042649,000006: ## release of the flight software for the Lunar Module's (LM)
042650,000007: ## Apollo Guidance Computer (AGC) for Apollo 13. The code has
042651,000008: ## been reconstructed from a listing of Luminary 131 and a dump
042652,000009: ## of a core rope memory module B5, part number 2010802-171,
042653,000010: ## which is the only module different between LM131 revision 1
042654,000011: ## and Luminary 131. The executable generated from this source
042655,000012: ## has been verified against the module dump, so while the names,
042656,000013: ## comments, and ordering may not be exactly correct, the
042657,000014: ## resulting binary is.
042658,000015: ## Reference: pp. 996-1088
042659,000016: ## Assembler: yaYUL
042660,000017: ## Contact: Ron Burkey <info@sandroid.org>.
042661,000018: ## Website: www.ibiblio.org/apollo/index.html
042662,000019: ## Mod history: 2022-10-28 MAS Created from Luminary 131.
042663,000020:
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Page 996
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042665,000022: # SECTION 1 DISPATCHER
042666,000023:
042667,000024: # ENTRY TO THE INTERPRETER. INTPRET SETS LOC TO THE FIRST INSTRUCTION, BANKSET TO THE BBANK OF THE
042668,000025: # OBJECT INTERPRETIVE PROGRAM, AND INTBIT15 TO THE BIT15 CONTENTS OF FBANK. INTERPRETIVE PROGRAMS MAY BE IN
042669,000026: # VIRTUALLY ALL BANKS PRESENT UNDER ANY SUPER-BANK SETTING, WITH THE RESTRICTION THAT PROGRAMS IN HIGH BANKS
042670,000027: # (BIT15 OF FBANK = 1) DO NOT REFER TO LOWBANKS, AND VICE-VERSA. THE INTERPRETER DOES NOT SWITCH SUPERBANKS.
042671,000028: # E-BANK SWITCHING OCCURS WHENEVER GENERAL ERASABLE (100-3777) IS ADDRESSED.
042672,000029:
042673,000030: 6042 BLOCK 03
042674,000031:
042675,000032: 6042 COUNT* $$/INTER
042676,000033: 6042 00003 INTPRET RELINT
042677,000034: 6043 00006 EXTEND # SET LOC TO THE WORD FOLLOWING THE TC.
042678,000035: 6044 22164 QXCH LOC
042679,000036: 6045 30006 +2 CA BBANK # INTERPRETIVE BRANCHES FINISH HERE.
042680,000037: 6046 54165 TS BANKSET
042681,000038: 6047 74735 MASK BIT15 # GET 15TH BIT FOR INDEXABLE ADDRESSES.
042682,000039: 6050 54115 TS INTBIT15
042683,000040:
042684,000041: 6051 54023 TS EDOP # MAKE SURE NO INSTRUCTIONS LEFT OVER
042685,000042:
042686,000043: 6052 16073 TCF NEWOPS # PICK UP OP CODE PAIR AND BEGIN.
042687,000044:
042688,000045: 6053 22006 INTRSM LXCH BBANK # RESUME SUSPENDED INTERPRETIVE JOB
042689,000046: 6054 16045 TCF INTPRET +3
042690,000047:
042691,000048: # DLOAD LOADS MPAC, MPAC +1, LEAVING ZERO IN MPAC +2.
042692,000049:
042693,000050: 6055 00006 DLOAD EXTEND
042694,000051: 6056 50116 INDEX ADDRWD
042695,000052: 6057 30001 DCA 0 # LOAD DP C(C(ADDRWD)) INTO MPAC,MPAX +1
042696,000053: 6060 52155 SLOAD2 DXCH MPAC
042697,000054: 6061 34755 CAF ZERO # ZERO MPAC +2
042698,000055:
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Page 997
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042700,000057: # AT THE END OF MOST INSTRUCTIONS, CONTROL IS GIVEN TO DANZIG TO DISPATCH THE NEXT OPERATION.
042701,000058:
042702,000059: 6062 54156 TS MPAC +2 # AND DECLARE DP MODE
042703,000060:
042704,000061: 6063 54163 NEWMODE TS MODE # PROLOGUE FOR MODE-CHANGING INSTRUCTIONS.
042705,000062:
042706,000063: 6064 30165 DANZIG CA BANKSET # SET BBANK BEFORE TESTING NEWJOB SO THAT
042707,000064: 6065 54006 TS BBANK # IT MAY BE SAVED DIRECTLY BY CHANJOB.
042708,000065:
042709,000066: 6066 10023 NOIBNKSW CCS EDOP # SEE IF AN ORDER CODE IS LEFT OVER FROM
042710,000067: 6067 16102 TCF OPJUMP # THE LAST PAIR RETRIEVED. IF SO, EXECUTE.
042711,000068: # EDOP IS SET TO ZERO ON ITS RE-EDITING.
042712,000069:
042713,000070: 6070 10067 CCS NEWJOB # SEE IF A JOB OF HIGHER PRIORITY IS
042714,000071: 6071 15126 TCF CHANG2 # PRESENT, AND IF SO, CHANGE JOBS.
042715,000072:
042716,000073: 6072 24164 INCR LOC # ADVANCE THE LOCATION COUNTER.
042717,000074:
042718,000075: # ITRACE (1) REFERS TO "NEWOPS".
042719,000076: 6073 50164 NEWOPS INDEX LOC # ENTRY TO BEGIN BY PICKING OP CODE PAIR.
042720,000077: 6074 30000 CA 0 # MAY BE AN OPCODE PAIR OR A STORE CODE.
042721,000078: 6075 10000 CCS A # TEST SIGN AND GET DABS(A).
042722,000079: 6076 16365 TCF DOSTORE # PROCESS STORE CODE.
042723,000080:
042724,000081: 6077 00177 LOW7 OCT 177
042725,000082:
042726,000083: 6100 54023 TS EDOP # OP CODE PAIR. LEAVE THE OTHER IN EDOP
042727,000084: 6101 76077 MASK LOW7 # WHERE CCS EDOP WILL HONOR IT NEXT.
042728,000085:
042729,000086: 6102 54020 OPJUMP TS CYR # LOWWD ENTERS HERE IF A RIGHT-HAND OP
042730,000087: 6103 10020 CCS CYR # CODE IS TO BE PROCESSED. TEST PREFICES.
042731,000088: 6104 16252 TCF OPJUMP2 # TEST SECOND PREFIX BIT.
042732,000089:
042733,000090: 6105 16746 TCF EXIT # +0 OP CODE IS EXIT.
042734,000091:
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Page 998
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042736,000093: # PROCESS ADDRESSES WHICH MAY BE DIRECT, INDEXED, OR REFERENCE THE PUSHDOWN LIST.
042737,000094:
042738,000095: 6106 74753 ADDRESS MASK BIT1 # SEE IF ADDRESS IS INDEXED. CYR CONTAINED
042739,000096: 6107 10000 CCS A # 400XX, SO BIT 1 IS NOW AS IT WAS IN CYR.
042740,000097: 6110 16151 TCF INDEX # FORM INDEXED ADDRESS.
042741,000098:
042742,000099: 6111 50164 DIRADRES INDEX LOC # LOOK AHEAD TO NEXT WORD TO SEE IF
042743,000100: 6112 40001 OCT40001 CS 1 # ADDRESS IS GIVEN.
042744,000101: 6113 10000 CCS A
042745,000102: 6114 16220 TCF PUSHUP # IF NOT.
042746,000103:
042747,000104: 6115 77773 NEG4 DEC -4 B-14
042748,000105:
042749,000106: 6116 24164 INCR LOC # IF SO, TO SHOW WE PICKED UP A WORD.
042750,000107: 6117 54116 TS ADDRWD
042751,000108:
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Page 999
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042753,000110: # FINAL DIGESTION OF DIRECT ADDRESSES OF OP CODES WITH 01 PREFIX IS DONE HERE. IN EACH CASE, THE
042754,000111: # REQUIRED 12-BIT SUB-ADDRESS IS LEFT IN ADDRWD, WITH ANY REQUIRED E OR F BANK SWITCHING DONE. ADDRESSES LESS
042755,000112: # 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.
042756,000113:
042757,000114: 6120 66254 AD -ENDVAC # SEE IF ADDRESS RELATIVE TO WORK AREA.
042758,000115: 6121 10000 CCS A
042759,000116: 6122 67746 AD -ENDERAS # IF NOT, SEE IF IN GENERAL ERASABLE.
042760,000117: 6123 16130 TCF IERASTST
042761,000118:
042762,000119: 6124 30120 NETZERO CA FIXLOC # IF SO, LEAVE THE MODIFIED ADDRESS IN
042763,000120: 6125 26116 ADS ADDRWD # ADDRWD AND DISPATCH.
042764,000121: 6126 50020 ITR15 INDEX CYR # THIS INDEX MAKES THE NEXT INSTRUCTION
042765,000122: 6127 76276 7 INDJUMP -1 # TCF INDJUMP + OP, EDITING CYR.
042766,000123:
042767,000124: 6130 00006 IERASTST EXTEND
042768,000125: 6131 66141 BZMF GEADDR # GO PROCESS GENERAL-ERASABLE ADDRESS.
042769,000126:
042770,000127: 6132 75012 MASK LOW10 # FIXED BANK ADDRESS. RESTORE AND ADD B15.
042771,000128: 6133 65012 AD LOW10 # SWITCH BANKS AND LEAVE SUBADDRESS IN
042772,000129: 6134 56116 XCH ADDRWD # ADDRWD FOR OPERAND RETRIEVAL. (THIS
042773,000130: 6135 60115 AD INTBIT15 # METHOD PRECLUDES USE OF THE LAST
042774,000131: 6136 54004 TS FBANK # LOCATION IN EACH FBANK.)
042775,000132: 6137 50020 ITR12 INDEX CYR
042776,000133: 6140 76276 7 INDJUMP -1
042777,000134:
042778,000135: 6141 74357 GEADDR MASK LOW8
042779,000136: 6142 65007 AD OCT1400
042780,000137: 6143 56116 XCH ADDRWD
042781,000138: 6144 54003 TS EBANK
042782,000139: 6145 50020 ITR10 INDEX CYR
042783,000140: 6146 76276 7 INDJUMP -1
042784,000141:
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Page 1000
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042786,000143: # THE FOLLOWING ROUTINE PROCESSES INTERPRETIVE INDEXED ADDRESSES. AN INTERPRETER INDEX REGISTER MAY
042787,000144: # CONTAIN THE ADDRESS OF ANY ERASABLE REGISTER (0-42 BEING RELATIVE TO THE VAC AREA) OR ANY INTERPRETIVE PROGRAM
042788,000145: # BANK, OR ANY INTEGER IN THAT RANGE.
042789,000146:
042790,000147: 6147 37736 DODLOAD* CAF DLOAD* # STODL* COMES HERE TO PROCESS LOAD ADR.
042791,000148: 6150 54020 TS CYR # (STOVL* ENTERS HERE).
042792,000149:
042793,000150: 6151 30120 INDEX CA FIXLOC # SET UP INDEX LOCATION.
042794,000151: 6152 54130 TS INDEXLOC
042795,000152: 6153 24164 INCR LOC # (ADDRESS ALWAYS GIVEN).
042796,000153: 6154 50164 INDEX LOC
042797,000154: 6155 40000 CS 0
042798,000155: 6156 10000 CCS A # INDEX 2 IF ADDRESS STORED COMPLEMENTED.
042799,000156: 6157 24130 INCR INDEXLOC
042800,000157: 6160 16161 NOOP
042801,000158:
042802,000159: 6161 54116 TS ADDRWD # 14 BIT ADDRESS TO ADDRWD.
042803,000160: 6162 77745 MASK HIGH4 # IF ADDRESS GREATER THAN 2K, ADD INTBIT15
042804,000161: 6163 00006 EXTEND
042805,000162: 6164 16167 BZF INDEX2
042806,000163: 6165 30115 CA INTBIT15
042807,000164: 6166 26116 ADS ADDRWD
042808,000165:
042809,000166: 6167 50130 INDEX2 INDEX INDEXLOC
042810,000167: 6170 40046 CS X1
042811,000168: 6171 26116 ADS ADDRWD # DO AUGMENT, IGNORING AND CORRECTING OVF.
042812,000169:
042813,000170: 6172 77747 MASK HIGH9 # SEE IF ADDRESS IS IN WORK AREA.
042814,000171: 6173 00006 EXTEND
042815,000172: 6174 16207 BZF INDWORK
042816,000173: 6175 77745 MASK HIGH4 # SEE IF IN FIXED BANK.
042817,000174: 6176 00006 EXTEND
042818,000175: 6177 16211 BZF INDERASE
042819,000176:
042820,000177: 6200 30116 CA ADDRWD # IN FIXED - SWITCH BANKS AND CREATE
042821,000178: 6201 54004 TS FBANK # SUB-ADDRESS.
042822,000179: 6202 75012 MASK LOW10
042823,000180: 6203 64741 AD 2K
042824,000181: 6204 54116 TS ADDRWD
042825,000182: 6205 50020 ITR11 INDEX CYR
042826,000183: 6206 36276 3 INDJUMP -1
042827,000184:
042828,000185: 6207 30120 INDWORK CA FIXLOC # MAKE ADDRWD RELATIVE TO WORK AREA.
042829,000186: 6210 16215 TCF ITR13 -1
042830,000187:
042831,000188: 6211 35007 INDERASE CA OCT1400
042832,000189: 6212 56116 XCH ADDRWD
042833,000190: 6213 54003 TS EBANK
042834,000191: 6214 74357 MASK LOW8
042835,000192: 6215 26116 -1 ADS ADDRWD
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Page 1001
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042837,000194: 6216 50020 ITR13 INDEX CYR
042838,000195: 6217 36276 3 INDJUMP -1
042839,000196:
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Page 1002
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042841,000198: # PUSH-UP ROUTINES. WHEN NO OPERAND ADDRESS IS GIVEN, THE APPROPRIATE OPERAND IS TAKEN FROM THE PUSH-DOWN
042842,000199: # LIST. IN MOST CASES THE MODE OF THE RESULT (VECTOR OR SCALAR) OF THE LAST ARITHMETIC OPERATION PERFORMED
042843,000200: # IS THE SAME AS THE TYPE OF OPERAND DESIRED (ALL ADD/SUBTRACT ETC.). EXCEPTIONS TO THIS GENERAL RULE ARE LISTED
042844,000201: # BELOW (NOTE THAT IN EVERY CASE THE MODE REGISTER IS LEFT INTACT):
042845,000202:
042846,000203: # 1. VXSC AND V/SC WANT THE OPPOSITE TYPE OF OPERAND, E.G., IF THE LAST OPERATION YIELDED A VECTOR
042847,000204: # RESULT, VXSC WANTS A SCALAR.
042848,000205:
042849,000206: # 2. THE LOAD CODES SHOULD LOAD THE ACCUMULATOR INDEPENDENT OF THE RESULT OF THE LAST OPERATION. THIS
042850,000207: # INCLUDES VLOAD, DLOAD, TLOAD, PDDL, AND PDVL (NO PUSHUP WITH SLOAD).
042851,000208:
042852,000209: # 3. SOME ARITHMETIC OPERATIONS REQUIRE A STANDARD TYPE OF OPERAND REGARDLESS OF THE PREVIOUS OPERATION.
042853,000210: # THIS INCLUDES SIGN WANTING DP AND TAD REQUIRING TP.
042854,000211:
042855,000212: 6220 34360 PUSHUP CAF OCT23 # IF THE LOW 5 BITS OF CYR ARE LESS THAN
042856,000213: 6221 70020 MASK CYR # 20, THIS OP REQUIRES SPECIAL ATTENTION.
042857,000214: 6222 66225 AD -OCT10 # (NO -0).
042858,000215: 6223 10000 CCS A
042859,000216: 6224 16236 TCF REGUP # FOR ALL CODES GREATER THAN OCT 7.
042860,000217:
042861,000218: 6225 77767 -OCT10 OCT -10
042862,000219:
042863,000220: 6226 66115 AD NEG4 # WE NOW HAVE 7 - OP CODE (MOD4). SEE IF
042864,000221: 6227 10000 CCS A # THE OP CODE (MOD4) IS THREE (REVERSE).
042865,000222: 6230 50000 INDEX A # NO - THE MODE IS DEFINITE. PICK UP THE
042866,000223: 6231 46247 CS NO.WDS
042867,000224: 6232 16240 TCF REGUP +2
042868,000225:
042869,000226: 6233 50163 INDEX MODE # FOR VXSC AND V/SC WE WANT THE REQUIRED
042870,000227: 6234 46245 CS REVCNT # PUSHLOC DECREMENT WITHOUT CHANGING THE
042871,000228: 6235 16240 TCF REGUP +2 # MODE AT THIS TIME.
042872,000229:
042873,000230: 6236 50163 REGUP INDEX MODE # MOST ALL OP CODES PUSHUP HERE.
042874,000231: 6237 46247 CS NO.WDS
042875,000232: 6240 26166 +2 ADS PUSHLOC
042876,000233: 6241 54116 TS ADDRWD
042877,000234: 6242 50020 ITR14 INDEX CYR
042878,000235: 6243 76276 7 INDJUMP -1 # (THE INDEX MAKES THIS A TCF.)
042879,000236:
042880,000237: 6244 00002 OCT 2 # REVERSE PUSHUP DECREMENT. VECTOR TAKES 2
042881,000238: 6245 00006 REVCNT OCT 6 # WORDS, SCALAR TAKES 6.
042882,000239: 6246 00006 OCT 6
042883,000240: 6247 00002 NO.WDS OCT 2 # CONVENTIONAL DECREMENT IS 6 WORDS VECTOR
042884,000241: 6250 00003 OCTAL3 OCT 3 # 2 IN DP, AND 3 IN TP.
042885,000242: 6251 00006 OCT 6
042886,000243:
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Page 1003
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042888,000245: # TEST THE SECOND PREFIX BIT TO SEE IF THIS IS A MISCELLANEOUS OR A UNARY/SHORT SHIFT OPERATION.
042889,000246:
042890,000247: 6252 10020 OPJUMP2 CCS CYR # TEST SECOND PREFIX BIT.
042891,000248: 6253 16266 TCF OPJUMP3 # TEST THIRD BIT TO SEE IF UNARY OR SHIFT.
042892,000249:
042893,000250: 6254 77722 -ENDVAC DEC -45 B-14
042894,000251:
042895,000252: # THE FOLLOWING ROUTINE PROCESSES ADDRESSES OF SUFFIX CLASS 10. THEY ARE BASICALLY WORK AREA ADDRESSES
042896,000253: # IN THE RANGE 0-52, ERASABLE ECADR CONSTANTS FROM 100-3777, AND FCADRS ABOVE THAT. ALL 15 BITS ARE AVAILABLE
042897,000254: # IN CONTRAST TO SUFFIX 1, IN WHICH ONLY THE LOW ORDER 14 ARE AVAILABLE.
042898,000255:
042899,000256: 6255 24164 15BITADR INCR LOC # (ENTRY HERE FROM STCALL).
042900,000257: 6256 50164 INDEX LOC # PICK UP ADDRESS WORD.
042901,000258: 6257 30000 CA 0
042902,000259: 6260 54117 TS POLISH # WE MAY NEED A SUBADDRESS LATER.
042903,000260:
042904,000261: 6261 35013 CAF LOW7+2K # THESE INSTRUCTIONS ARE IN BANK 1.
042905,000262: 6262 54004 TS FBANK
042906,000263: 6263 70020 MASK CYR
042907,000264: 6264 50000 ITR7 INDEX A
042908,000265: 6265 16337 TCF MISCJUMP
042909,000266:
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Page 1004
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042911,000268: # COMPLETE THE DISPATCHING OF UNARY AND SHORT SHIFT OPERATIONS.
042912,000269:
042913,000270: 6266 54004 OPJUMP3 TS FBANK # CALL IN BANK 0 (BITS 11-15 OF A ARE 0.)
042914,000271: # ITRACE (6) REFERS TO "OPJUMP3".
042915,000272: 6267 10020 CCS CYR # TEST THIRD PREFIX BIT.
042916,000273: 6270 50000 INDEX A # THE DECREMENTED UNARY CODE IS IN BITS
042917,000274: 6271 12000 TCF UNAJUMP # 1-4 OF A (ZERO, EXIT, HAS BEEN DETECTED)
042918,000275:
042919,000276: 6272 10163 CCS MODE # ITS A SHORT SHIFT CODE. SEE IF PRESENT
042920,000277: 6273 12017 TCF SHORTT # SCALAR OR VECTOR.
042921,000278: 6274 12017 TCF SHORTT
042922,000279: 6275 12121 TCF SHORTV # CALLS THE APPROPRIATE ROUTINE.
042923,000280:
042924,000281: 6276 4350 FBANKMSK EQUALS BANKMASK
042925,000282: 6276 00122 LVBUF ADRES VBUF
042926,000283:
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Page 1005
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042928,000285: # THE FOLLOWING IS THE JUMP TABLE FOR OP CODES WHICH MAY HAVE INDEXABLE ADDRESSES OR MAY PUSH UP.
042929,000286:
042930,000287: 6277 16510 INDJUMP TCF VLOAD # 00 - LOAD MPAC WITH A VECTOR.
042931,000288: 6300 17074 TCF TAD # 01 - TRIPLE PRECISION ADD TO MPAC.
042932,000289: 6301 17660 TCF SIGN # 02 - COMPLEMENT MPAC (V OR SC) IF X NEG.
042933,000290: 6302 17404 TCF VXSC # 03 - VECTOR TIMES SCALAR.
042934,000291: 6303 16706 TCF CGOTO # 04 - COMPUTED GO TO.
042935,000292: 6304 16473 TCF TLOAD # 05 - LOAD MPAC WITH TRIPLE PRECISION.
042936,000293: 6305 16055 TCF DLOAD # 06 - LOAD MPAC WITH A DP SCALAR.
042937,000294: 6306 17627 TCF V/SC # 07 - VECTOR DIVIDED BY SCALAR.
042938,000295:
042939,000296: 6307 16504 TCF SLOAD # 10 - LOAD MPACIN SINGLE PRECISION.
042940,000297: 6310 16623 TCF SSP # 11 - SET SINGLE PRECISION INTO X.
042941,000298: 6311 16526 TCF PDDL # 12 - PUSH DOWN MPAC AND RE-LOAD IN DP.
042942,000299: 6312 17337 TCF MXV # 13 - MATRIX POST-MULTIPLIED BY VECTOR.
042943,000300: 6313 16562 TCF PDVL # 14 - PUSH DOWN AND VECTORLOAD.
042944,000301: 6314 16631 TCF CCALL # 15 - COMPUTED CALL.
042945,000302: 6315 17342 TCF VXM # 16 - MATRIX PRE-MULTIPLIED BY VECTOR.
042946,000303: 6316 17621 TCF TSLC # 17 - NORMALIZE MPAC (SCALAR ONLY).
042947,000304:
042948,000305: 6317 17577 TCF DMPR # 20 - DP MULTIPLY AND ROUND.
042949,000306: 6320 17602 TCF DDV # 21 - DP DIVIDE BY.
042950,000307: 6321 17606 TCF BDDV # 22 - DP DIVIDE INTO.
042951,000308: 6322 17624 TCF GSHIFT # 23 - GENERAL SHIFT INSTRUCTION.
042952,000309: 6323 16754 TCF VAD # 24 - VECTOR ADD.
042953,000310: 6324 16752 TCF VSU # 25 - VECTOR SUBTRACT.
042954,000311: 6325 17041 TCF BVSU # 26 - VECTOR SUBTRACT FROM.
042955,000312: 6326 17334 TCF DOT # 27 - VECTOR DOT PRODUCT.
042956,000313:
042957,000314: 6327 17463 TCF VXV # 30 - VECTOR CROSS PRODUCT.
042958,000315: 6330 17430 TCF VPROJ # 31 - VECTOR PROJECTION.
042959,000316: 6331 17010 TCF DSU # 32 - DP SUBTRACT.
042960,000317: 6332 17065 TCF BDSU # 33 - DP SUBTRACT FROM.
042961,000318: 6333 17000 TCF DAD # 34 - DP ADD.
042962,000319: 6334 16334 TCF +0 # 35 - AVAILABLE
042963,000320: 6335 17575 TCF DMP1 # 36 - DP MULTIPLY.
042964,000321: 6336 17616 TCF SETPD # 37 - SET PUSH DOWN POINTER (DIRECT ONLY)
042965,000322:
042966,000323: # CODES 10 AND 14 MUST NOT PUSH UP. CODE 04 MAY BE USED FOR VECTOR DECLARE BEFORE PUSHUP IF DESIRED.
042967,000324:
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Page 1006
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042969,000326: # THE FOLLOWING JUMP TABLE APPLIES TO INDEX, BRANCH, AND MISCELLANEOUS INSTRUCTIONS.
042970,000327:
042971,000328: 6337 12345 MISCJUMP TCF AXT # 00 - ADDRESS TO INDEX TRUE.
042972,000329: 6340 12352 TCF AXC # 01 - ADDRESS TO INDEX COMPLEMENTED.
042973,000330: 6341 12355 TCF LXA # 02 - LOAD INDEX FROM ERASABLE.
042974,000331: 6342 12361 TCF LXC # 03 - LOAD INDEX FROM COMPLEMENT OF ERAS.
042975,000332: 6343 12365 TCF SXA # 04 - STORE INDEX IN ERASABLE.
042976,000333: 6344 12373 TCF XCHX # 05 - EXCHANGE INDEX WITH ERASABLE.
042977,000334: 6345 12407 TCF INCR # 06 - INCREMENT INDEX REGISTER.
042978,000335: 6346 12416 TCF TIX # 07 - TRANSFER ON INDEX.
042979,000336:
042980,000337: 6347 12401 TCF XAD # 10 - INDEX REGISTER ADD FROM ERASABLE.
042981,000338: 6350 12412 TCF XSU # 11 - INDEX SUBTRACT FROM ERASABLE.
042982,000339: 6351 12470 TCF BZE/GOTO # 12 - BRANCH ZERO AND GOTO.
042983,000340: 6352 12475 TCF BPL/BMN # 13 - BRANCH PLUS AND BRANCH MINUS.
042984,000341: 6353 12450 TCF RTB/BHIZ # 14 - RETURN TO BASIC AND BRANCH HI ZERO.
042985,000342: 6354 12510 TCF CALL/ITA # 15 - CALL AND STORE QPRET.
042986,000343: 6355 12517 TCF SW/ # 16 - SWITCH INSTRUCTIONS AND AVAILABLE.
042987,000344: 6356 12460 TCF BOV(B) # 17 - BRANCH ON OVERFLOW TO BASIC OR INT.
042988,000345:
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|
Page 1007
|
042990,000347: # THE FOLLOWING JUMP TABLE APPIES TO UNARY INSTRUCTIONS.
042991,000348:
042992,000349: 6357 COUNT* $$/INTER
042993,000350: 00,2000 BANK 0 # 00 - EXIT - DETECTED EARLIER.
042994,000351: 00,2000 13207 UNAJUMP TCF SQRT # 01 - SQUARE ROOT.
042995,000352: 00,2001 13530 TCF SINE # 02 - SIN.
042996,000353: 00,2002 13517 TCF COSINE # 03 - COS.
042997,000354: 00,2003 13610 TCF ARCSIN # 04 - ARC SIN.
042998,000355: 00,2004 13612 TCF ARCCOS # 05 - ARC COS.
042999,000356: 00,2005 13174 TCF DSQ # 06 - DP SQUARE.
043000,000357: 00,2006 12116 TCF ROUND # 07 - ROUND TO DP.
043001,000358:
043002,000359: 00,2007 17673 TCF COMP # 10 - COMPLEMENT VECTOR OR SCALAR.
043003,000360: 00,2010 13232 TCF VDEF # 11 - VECTOR DEFINE.
043004,000361: 00,2011 13023 TCF UNIT # 12 - UNIT VECTOR.
043005,000362: 00,2012 13176 TCF ABVALABS # 13 - LENGTH OF VECTOR OR MAG OF SCALAR.
043006,000363: 00,2013 13245 TCF VSQ # 14 - SQUARE OF LENGTH OF VECTOR.
043007,000364: 00,2014 16357 TCF STADR # 15 - PUSH UP ON STORE CODE.
043008,000365: 00,2015 13274 TCF RVQ # 16 - RETURN VIA QPRET.
043009,000366: 00,2016 13247 TCF PUSH # 17 - PUSH MPAC DOWN.
043010,000367:
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|
Page 1008
|
043012,000369: # SECTION 2 LOAD AND STORE PACKAGE.
043013,000370:
043014,000371: # A SET OF EIGHT STORE CODES IS PROVIDED AS THE PRIMARY METHOD OF STORING THE MULTI-PURPOSE
043015,000372: # ACCUMULATOR (MPAC). IF IN THE DANZIG SECTION LOC REFERS TO AN ALGEBRAICALLY POSITIVE WORD, IT IS TAKEN AS A
043016,000373: # STORE CODE WITH A CORRESPONDING ERASABLE ADDRESS. MOST OF THESE CODES ARE TWO ADDRESS, SPECIFYING THAT THE WORD
043017,000374: # FOLLOWING THE STORE CODE IS TO BE USED AS AN ADDRESS FROM WHICH TO RE-LOAD MPAC. FOUR OPTIONS ARE AVAILABLE:
043018,000375:
043019,000376: # 1. STORE STORE MPAC. THE E ADDRESS MAY BE INDEXED.
043020,000377: # 2. STODL STORE MPAC AND RE-LOAD IT IN DP WITH THE NEXT ADDRESS (THE LOAD MAY BE INDEXED).
043021,000378: # 3. STOVL STORE MPAC AND RE-LOAD A VECTOR (AS ABOVE).
043022,000379: # 4. STCALL STORE AND DO A CALL (BOTH ADDRESSES MUST BE DIRECT HERE).
043023,000380:
043024,000381: # STODL AND STOVL WILL TAKE FROM THE PUSH-DOWN LIST IF NO LOAD ADDRESS IS GIVEN.
043025,000382:
043026,000383: 6357 BLOCK 3
043027,000384:
043028,000385: 6357 COUNT* $$/INTER
043029,000386: 6357 30165 STADR CA BANKSET # THE STADR CODE (PUSHUP UP ON STORE
043030,000387: 6360 54004 TS FBANK # ADDRESS) ENTERS HERE.
043031,000388: 6361 24164 INCR LOC
043032,000389: 6362 50164 ITR1 INDEX LOC # THE STORECODE WAS STORED COMPLEMENTED TO
043033,000390: 6363 40000 CS 0 # MAKE IT LOOK LIKE AN OPCODE PAIR.
043034,000391: 6364 67752 AD NEGONE # (YUL CANT REMOVE 1 BECAUSE OF EARLY CCS)
043035,000392:
043036,000393: 6365 54116 DOSTORE TS ADDRWD
043037,000394: 6366 74356 MASK LOW11 # ENTRY FROM DISPATCHER. SAVE THE ERASABLE
043038,000395: 6367 56116 XCH ADDRWD # ADDRESS AND JUMP ON THE STORE CODE NO.
043039,000396: 6370 77725 MASK B12T14
043040,000397: 6371 00006 EXTEND
043041,000398: 6372 74747 MP BIT5 # EACH TRANSFER VECTOR ENTRY IS TWO WORDS.
043042,000399: 6373 50000 ITR0 INDEX A
043043,000400: 6374 16375 TCF STORJUMP
043044,000401:
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|
Page 1009
|
043046,000403: # STORE CODE JUMP TABLE. CALLS THE APPROPRIATE STORING ROUTINE AND EXITS TO DANZIG OR TO ADDRESS WITH
043047,000404: # A SUPPLIED OPERATION CODE.
043048,000405:
043049,000406: # STORE STORE,1 AND STORE,2 RETURN TO DANZIG, THUS RESETTING THE EBANK TO ITS STATE AT INTPRET.
043050,000407:
043051,000408: 6375 06425 STORJUMP TC STORE # STORE.
043052,000409: 6376 16064 TCF DANZIG # PICK UP NEW OP CODE(S).
043053,000410: 6377 06417 TC STORE,1
043054,000411: 6400 16064 TCF DANZIG
043055,000412: 6401 06422 TC STORE,2
043056,000413: 6402 16064 TCF DANZIG
043057,000414:
043058,000415: 6403 06425 TC STORE # STODL.
043059,000416: 6404 16463 TCF DODLOAD
043060,000417:
043061,000418: 6405 06425 TC STORE # STODL WITH INDEXED LOAD ADDRESS.
043062,000419: 6406 16147 TCF DODLOAD*
043063,000420:
043064,000421: 6407 06425 TC STORE # STOVL.
043065,000422: 6410 16466 TCF DOVLOAD
043066,000423:
043067,000424: 6411 06425 TC STORE # STOVL WITH INDEXED LOAD ADDRESS.
043068,000425: 6412 16471 TCF DOVLOAD*
043069,000426: 6413 06425 TC STORE # STOTC.
043070,000427: 6414 34766 CAF CALLCODE
043071,000428: 6415 54020 TS CYR
043072,000429: 6416 16255 TCF 15BITADR # GET A 15 BIT ADDRESS.
043073,000430:
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|
Page 1010
|
043075,000432: # STORE CODE ADDRESS PROCESSOR.
043076,000433:
043077,000434: 6417 50120 STORE,1 INDEX FIXLOC
043078,000435: 6420 40046 CS X1
043079,000436: 6421 16424 TCF PRESTORE
043080,000437:
043081,000438: 6422 50120 STORE,2 INDEX FIXLOC
043082,000439: 6423 40047 CS X2
043083,000440: 6424 26116 PRESTORE ADS ADDRWD # RESULTANT ADDRESS IS IN ERASABLE.
043084,000441:
043085,000442: 6425 40116 STORE CS ADDRWD
043086,000443: 6426 64772 AD DEC45
043087,000444: 6427 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA?
043088,000445: 6430 30120 CA FIXLOC # YES.
043089,000446: 6431 16436 TCF AHEAD5
043090,000447: 6432 35007 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS.
043091,000448: 6433 56116 XCH ADDRWD
043092,000449: 6434 54003 TS EBANK
043093,000450: 6435 74357 MASK LOW8
043094,000451: 6436 26116 AHEAD5 ADS ADDRWD
043095,000452:
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|
Page 1011
|
043097,000454: # STORING ROUTINES. STORE DP, TP, OR VECTOR AS INDICATED BY MODE.
043098,000455:
043099,000456: 6437 00006 STARTSTO EXTEND # MPAC,+1 MUST BE STORED IN ANY EVENT.
043100,000457: # ITRACE (5) REFERS TO "STARTSTO".
043101,000458: 6440 30155 DCA MPAC
043102,000459: 6441 50116 INDEX ADDRWD
043103,000460: 6442 52001 DXCH 0
043104,000461:
043105,000462: 6443 10163 CCS MODE
043106,000463: 6444 16457 TCF TSTORE
043107,000464: 6445 00002 TC Q
043108,000465:
043109,000466: 6446 00006 VSTORE EXTEND
043110,000467: 6447 30160 DCA MPAC +3
043111,000468: 6450 50116 INDEX ADDRWD
043112,000469: 6451 52003 DXCH 2
043113,000470:
043114,000471: 6452 00006 EXTEND
043115,000472: 6453 30162 DCA MPAC +5
043116,000473: 6454 50116 INDEX ADDRWD
043117,000474: 6455 52005 DXCH 4
043118,000475: 6456 00002 TC Q
043119,000476:
043120,000477: 6457 30156 TSTORE CA MPAC +2
043121,000478: 6460 50116 INDEX ADDRWD
043122,000479: 6461 54002 TS 2
043123,000480: 6462 00002 TC Q
043124,000481:
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|
Page 1012
|
043126,000483: # ROUTINES TO BEGIN PROCESSING OF THE SECOND ADDRESS ASSOCIATED WITH ALL STORE-TYPE CODES EXCEPT STORE
043127,000484: # ITSELF.
043128,000485:
043129,000486: 6463 37735 DODLOAD CAF DLOADCOD
043130,000487: 6464 54020 TS CYR
043131,000488: 6465 16111 TCF DIRADRES # GO GET A DIRECT ADDRESS.
043132,000489:
043133,000490: 6466 34735 DOVLOAD CAF VLOADCOD
043134,000491: 6467 54020 TS CYR
043135,000492: 6470 16111 TCF DIRADRES
043136,000493:
043137,000494: 6471 36112 DOVLOAD* CAF VLOAD*
043138,000495: 6472 16150 TCF DODLOAD* +1 # PROLOGUE TO INDEX ROUTINE.
043139,000496:
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|
Page 1013
|
043141,000498: # THE FOLLOWING LOAD INSTRUCTIONS ARE PROVIDED FOR LOADING THE MULTI-PURPOSE ACCUMULATOR MPAC.
043142,000499:
043143,000500: 6473 50116 TLOAD INDEX ADDRWD
043144,000501: 6474 30002 CA 2 # LOAD A TRIPLE PRECISION ARGUMENT INTO
043145,000502: 6475 54156 TS MPAC +2 # THE FIRST THREE MPAC REGISTERS, WITH THE
043146,000503: 6476 00006 EXTEND # CONTENTS OF THE OTHER FOUR IRRELEVANT.
043147,000504: 6477 50116 INDEX ADDRWD
043148,000505: 6500 30001 DCA 0
043149,000506: 6501 52155 DXCH MPAC
043150,000507: 6502 34753 TMODE CAF ONE
043151,000508: 6503 16063 TCF NEWMODE # DECLARE TRIPLE PRECISION MODE.
043152,000509:
043153,000510: 6504 22007 SLOAD ZL # LOAD A SINGLE PRECISION NUMBER INTO
043154,000511: 6505 50116 INDEX ADDRWD # MPAC, SETTING MPAC+1,2 TO ZERO. THE
043155,000512: 6506 30000 CA 0 # CONTENTS OF THE REMAINING MPAC REGISTERS
043156,000513: 6507 16060 TCF SLOAD2 # ARE IRRELEVANT.
043157,000514:
043158,000515: 6510 00006 VLOAD EXTEND # LOAD A DOUBLE PRECISION VECTOR INTO
043159,000516: 6511 50116 INDEX ADDRWD # MPAC,+1, MPAC+3,4, AND MPAC+5,6. THE
043160,000517: 6512 30001 DCA 0 # CONTENTS OF MPAC +2 ARE IRRELEVANT.
043161,000518: 6513 52155 DXCH MPAC
043162,000519:
043163,000520: 6514 00006 ENDVLOAD EXTEND # PDVL COMES HERE TO FINISH UP FOR DP, TP.
043164,000521: 6515 50116 INDEX ADDRWD
043165,000522: 6516 30003 DCA 2
043166,000523: 6517 52160 DXCH MPAC +3
043167,000524:
043168,000525: 6520 00006 +4 EXTEND # TPDVL FINISHES HERE.
043169,000526: 6521 50116 INDEX ADDRWD
043170,000527: 6522 30005 DCA 4
043171,000528: 6523 52162 DXCH MPAC +5
043172,000529:
043173,000530: 6524 44753 VMODE CS ONE # DECLARE VECTOR MODE.
043174,000531: 6525 16063 TCF NEWMODE
043175,000532:
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|
Page 1014
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043177,000534: # THE FOLLOWING INSTRUCTIONS ARE PROVIDED FOR STORING OPERANDS IN THE PUSHDOWN LIST:
043178,000535: # 1. PUSH PUSHDOWN AND NO LOAD.
043179,000536: # 2. PDDL PUSHDOWN AND DOUBLE PRECISION LOAD.
043180,000537: # 3. PDVL PUSHDOWN AND VECTOR LOAD.
043181,000538:
043182,000539: 6526 00006 PDDL EXTEND
043183,000540: 6527 50116 INDEX ADDRWD # LOAD MPAC,+1, PUSHING THE FORMER
043184,000541: 6530 30001 DCA 0 # CONTENTS DOWN.
043185,000542: 6531 52155 DXCH MPAC
043186,000543: 6532 50166 INDEX PUSHLOC
043187,000544: 6533 52001 DXCH 0
043188,000545:
043189,000546: 6534 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER APPRO-
043190,000547: 6535 36247 CAF NO.WDS # PRIATELY.
043191,000548: 6536 26166 ADS PUSHLOC
043192,000549:
043193,000550: 6537 10163 CCS MODE
043194,000551: 6540 16555 TCF ENDTPUSH
043195,000552: 6541 16553 TCF ENDDPUSH
043196,000553:
043197,000554: 6542 54163 TS MODE # NOW DP.
043198,000555: 6543 54156 ENDVPUSH TS MPAC +2
043199,000556: 6544 52160 DXCH MPAC +3 # PUSH DOWN THE REST OF THE VECTOR HERE.
043200,000557: 6545 50166 INDEX PUSHLOC
043201,000558: 6546 51775 DXCH 0 -4
043202,000559:
043203,000560: 6547 52162 DXCH MPAC +5
043204,000561: 6550 50166 INDEX PUSHLOC
043205,000562: 6551 51777 DXCH 0 -2
043206,000563:
043207,000564: 6552 16064 TCF DANZIG
043208,000565:
043209,000566: 6553 54156 ENDDPUSH TS MPAC +2 # SET MPAC +2 TO ZERO AND EXIT ON DP.
043210,000567: 6554 16064 TCF DANZIG
043211,000568:
043212,000569: 6555 54163 ENDTPUSH TS MODE
043213,000570: 6556 56156 XCH MPAC +2 # ON TRIPLE, SET MPAC +2 TO ZERO, PUSHING
043214,000571: 6557 50166 +2 INDEX PUSHLOC # DOWN THE OLD CONTENTS
043215,000572: 6560 53777 TS 0 -1
043216,000573: 6561 16064 TCF DANZIG
043217,000574:
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Page 1015
|
043219,000576: # PDVL - PUSHDOWN AND VECTOR LOAD.
043220,000577:
043221,000578: 6562 00006 PDVL EXTEND # RELOAD MPAC AND PUSH DOWN ITS CONTENTS.
043222,000579: 6563 50116 INDEX ADDRWD
043223,000580: 6564 30001 DCA 0
043224,000581: 6565 52155 DXCH MPAC
043225,000582: 6566 50166 INDEX PUSHLOC
043226,000583: 6567 52001 DXCH 0
043227,000584:
043228,000585: 6570 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER.
043229,000586: 6571 36247 CAF NO.WDS
043230,000587: 6572 26166 ADS PUSHLOC
043231,000588:
043232,000589: 6573 10163 CCS MODE # TEST PAST MODE.
043233,000590: 6574 16613 TCF TPDVL
043234,000591: 6575 16514 TCF ENDVLOAD # JUST LOAD LAST FOUR REGISTERS ON DP.
043235,000592:
043236,000593: 6576 00006 VPDVL EXTEND # PUSHDOWN AND RE-LOAD LAST TWO COMPONENTS
043237,000594: 6577 50116 INDEX ADDRWD
043238,000595: 6600 30003 DCA 2
043239,000596: 6601 52160 DXCH MPAC +3
043240,000597: 6602 50166 INDEX PUSHLOC
043241,000598: 6603 51775 DXCH 0 -4
043242,000599:
043243,000600: 6604 00006 EXTEND
043244,000601: 6605 50116 INDEX ADDRWD
043245,000602: 6606 30005 DCA 4
043246,000603: 6607 52162 DXCH MPAC +5
043247,000604: 6610 50166 INDEX PUSHLOC
043248,000605: 6611 51777 DXCH 0 -2
043249,000606:
043250,000607: 6612 16064 TCF DANZIG
043251,000608:
043252,000609: 6613 00006 TPDVL EXTEND # ON TP, WE MUST LOAD THE Y COMPONENT
043253,000610: 6614 50116 INDEX ADDRWD # BEFORE STORING MPAC +2 IN CASE THIS IS A
043254,000611: 6615 30003 DCA 2 # PUSHUP.
043255,000612: 6616 52160 DXCH MPAC +3
043256,000613:
043257,000614: 6617 30156 CA MPAC +2
043258,000615: 6620 50166 INDEX PUSHLOC # IN DP.
043259,000616: 6621 53777 TS 0 -1
043260,000617: 6622 16520 TCF ENDVLOAD +4
043261,000618:
043262,000619: # SSP (STORE SINGLE PRECISION) IS EXECUTED HERE.
043263,000620:
043264,000621: 6623 24164 SSP INCR LOC # PICK UP THE WORD FOLLOWING THE GIVEN
043265,000622: 6624 50164 INDEX LOC # ADDRESS AND STORE IT AT X.
043266,000623: 6625 30000 CA 0
043267,000624: 6626 50116 STORE1 INDEX ADDRWD # SOME INDEX AND MISCELLANEOUS OPS END
043268,000625: 6627 54000 TS 0 # HERE.
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|
Page 1016
|
043270,000627: 6630 16064 TCF DANZIG
043271,000628:
|
|
Page 1017
|
043273,000630: # SEQUENCE CHANGING AND SUBROUTINE CALLING OPTIONS.
043274,000631:
043275,000632: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR SEQUENCING CHANGING, BRANCHING, AND CALLING SUBROUTINES:
043276,000633: # 1. GOTO GO TO.
043277,000634: # 2. CALL CALL SUBROUTINE SETTING QPRET.
043278,000635: # 3. CGOTO COMPUTED GO TO.
043279,000636: # 4. CCALL COMPUTED CALL.
043280,000637: # 7. BPL BRANCH IF MPAC POSITIVE OR ZERO.
043281,000638: # 8. BZE BRANCH IF MPAC ZERO.
043282,000639: # 9. BMN BRANCH IF MPAC NEGATIVE NON-ZERO.
043283,000640:
043284,000641: 6631 24164 CCALL INCR LOC # MAINTAIN LOC FOR QPRET COMPUTATION.
043285,000642: 6632 50164 INDEX LOC
043286,000643: 6633 30000 CAF 0 # GET BASE ADDRESS OF CADR LIST.
043287,000644: 6634 50116 INDEX ADDRWD
043288,000645: 6635 60000 AD 0 # ADD INCREMENT.
043289,000646: 6636 54004 TS FBANK # SELECT DESIRED CADR.
043290,000647: 6637 75012 MASK LOW10
043291,000648: 6640 50000 INDEX A
043292,000649: 6641 32000 CAF 10000
043293,000650: 6642 54117 TS POLISH
043294,000651:
043295,000652: 6643 30165 CALL CA BANKSET # FOR ANY OF THE CALL OPTIONS, MAKE UP THE
043296,000653: 6644 74350 MASK BANKMASK # ADDRESS OF THE NEXT OP-CODE PAIR/STORE
043297,000654: 6645 64350 AD BANKMASK # CODE AND LEAVE IT IN QPRET. NOTE THAT
043298,000655: 6646 60164 AD LOC # BANKMASK = -(2000 - 1).
043299,000656: 6647 50120 INDEX FIXLOC
043300,000657: 6650 54052 TS QPRET
043301,000658:
043302,000659: 6651 30117 GOTO CA POLISH # BASIC BRANCHING SEQUENCE.
043303,000660: 6652 77745 +1 MASK HIGH4
043304,000661: 6653 00006 EXTEND
043305,000662: 6654 16665 BZF GOTOERS # SEE IF ADDRESS POINTS TO FIXED OR ERAS.
043306,000663: 6655 30165 +4 CA BANKSET # SET EBANK PART OF BBANK. NEXT, SET UP
043307,000664: 6656 54006 TS BBANK # FBANK. THE COMBINATION IS PICKED UP &
043308,000665: 6657 30117 CA POLISH # PUT INTO BANKSET AT INTPRET +2.
043309,000666: 6660 54004 TS FBANK
043310,000667: 6661 75012 MASK LOW10
043311,000668: 6662 64741 AD 2K
043312,000669: 6663 54164 TS LOC
043313,000670: 6664 16045 TCF INTPRET +3
043314,000671:
043315,000672: 6665 E3,1400 EBANK= 1400 # SO YUL DOESN'T CUSS THE "CA 1400" BELOW.
043316,000673:
043317,000674: 6665 30117 GOTOERS CA POLISH # THE GIVEN ADDRESS IS IN ERASABLE - SEE
043318,000675: 6666 66254 AD -ENDVAC # IF RELATIVE TO THE WORK AREA.
043319,000676: 6667 10000 CCS A
043320,000677: 6670 30117 CA POLISH # GENERAL ERASABLE.
043321,000678: 6671 16700 TCF GOTOGE
043322,000679:
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Page 1018
|
043324,000681: 6672 30120 CA FIXLOC # WORK AREA.
043325,000682: 6673 60117 AD POLISH
043326,000683: 6674 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF
043327,000684: 6675 30000 CA 0 # THE BRANCH ADDRESS.
043328,000685: 6676 54117 TS POLISH
043329,000686: 6677 16652 TCF GOTO +1 # ALLOWS ARBITRARY INDIRECTNESS LEVELS.
043330,000687:
043331,000688: 6700 54003 GOTOGE TS EBANK
043332,000689: 6701 74357 MASK LOW8
043333,000690: 6702 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF
043334,000691: 6703 31400 CA 1400 # THE BRANCH ADDRESS.
043335,000692: 6704 54117 TS POLISH
043336,000693: 6705 16652 TCF GOTO +1
043337,000694:
043338,000695: 6706 50164 CGOTO INDEX LOC # COMPUTED GO TO. PICK UP ADDRESS OF CADR
043339,000696: 6707 30001 CA 1 # LIST.
043340,000697: 6710 50116 INDEX ADDRWD # ADD MODIFIER.
043341,000698: 6711 60000 AD 0
043342,000699: 6712 54004 TS FBANK # SELECT GOTO ADDRESS.
043343,000700: 6713 75012 MASK LOW10
043344,000701: 6714 50000 INDEX A
043345,000702: 6715 32000 CA 10000
043346,000703: 6716 54117 TS POLISH
043347,000704: 6717 16652 TCF GOTO +1 # WITH ADDRESS IN A.
043348,000705:
043349,000706: 6720 30165 SWBRANCH CA BANKSET # SWITCH INSTRUCTIONS WHICH ELECT TO
043350,000707: 6721 54004 TS FBANK # BRANCH COME HERE TO DO SO.
043351,000708: 6722 50164 INDEX LOC
043352,000709: 6723 30001 CA 1
043353,000710: 6724 54117 TS POLISH
043354,000711: 6725 16652 TCF GOTO +1
043355,000712:
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Page 1019
|
043357,000714: # TRIPLE PRECISION BRANCHING ROUTINE. IF CALLING TC IS AT L, RETURN IS AS FOLLOWS:
043358,000715: # L+1 IF MPAC IS GREATER THAN ZERO.
043359,000716: # L+2 IF MPAC IS EQUAL TO +0 OR -0.
043360,000717: # L+3 IF MPAC IS LESS THAN ZERO.
043361,000718:
043362,000719: 6726 10154 BRANCH CCS MPAC
043363,000720: 6727 00002 TC Q
043364,000721: 6730 16732 TCF +2 # ON ZERO.
043365,000722: 6731 16744 TCF NEG
043366,000723:
043367,000724: 6732 10155 CCS MPAC +1
043368,000725: 6733 00002 TC Q
043369,000726: 6734 16736 TCF +2
043370,000727: 6735 16744 TCF NEG
043371,000728:
043372,000729: 6736 10156 CCS MPAC +2
043373,000730: 6737 00002 TC Q
043374,000731: 6740 16742 TCF +2
043375,000732: 6741 16744 TCF NEG
043376,000733:
043377,000734: 6742 50002 Q+1 INDEX Q
043378,000735: 6743 00001 TC 1
043379,000736:
043380,000737: 6744 50002 NEG INDEX Q # IF FIRST NON-ZERO REGISTER WAS NEGATIVE.
043381,000738: 6745 00002 TC 2
043382,000739:
043383,000740: 6746 6744 Q+2 = NEG
043384,000741:
043385,000742: # ITRACE (3) REFERS TO "EXIT".
043386,000743:
043387,000744: 6746 30165 EXIT CA BANKSET # RESTORE USER'S BANK SETTING, AND LEAVE
043388,000745: 6747 54006 TS BBANK # INTERPRETIVE MODE.
043389,000746: 6750 50164 INDEX LOC
043390,000747: 6751 00001 TC 1
043391,000748:
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Page 1020
|
043393,000750: # SECTION 3 - ADD/SUBTRACT PACKAGE.
043394,000751:
043395,000752: # THE FOLLOWING OPERATIONS ARE PROVIDED FOR ADDING TO AND SUBTRACTING FROM THE MULTI-PURPOSE ACCUMULATOR
043396,000753: # MPAC:
043397,000754: # 1. DAD DOUBLE PRECISION ADD.
043398,000755: # 2. DSU DOUBLE PRECISION SUBTRACT.
043399,000756: # 3. BDSU DOUBLE PRECISION SUBTRACT FROM.
043400,000757: # 4. TAD TRIPLE PRECISION ADD.
043401,000758: # 5. VAD VECTOR ADD.
043402,000759: # 6. VSU VECTOR SUBTRACT.
043403,000760: # 7. BVSU VECTOR SUBTRACT FROM.
043404,000761: # THE INTERPRETIVE OVERFLOW INDICATOR OVFIND IS SET NON-ZERO IF OVERFLOW OCCURS IN ANY OF THE ABOVE.
043405,000762:
043406,000763: 6752 34735 VSU CAF BIT15 # CHANGES 0 TO DCS.
043407,000764: 6753 16755 TCF +2
043408,000765:
043409,000766: 6754 34355 VAD CAF PRIO30 # CHANGES 0 TO DCA.
043410,000767: 6755 26116 ADS ADDRWD
043411,000768: 6756 00006 EXTEND
043412,000769: 6757 50116 INDEX ADDRWD
043413,000770: 6760 00003 READ HISCALAR # DCA 2 OR DCS 2
043414,000771: 6761 20160 DAS MPAC +3
043415,000772: 6762 00006 EXTEND # CHECK OVERFLOW.
043416,000773: 6763 16765 BZF +2
043417,000774: 6764 07017 TC OVERFLWY
043418,000775:
043419,000776: 6765 00006 EXTEND
043420,000777: 6766 50116 INDEX ADDRWD
043421,000778: 6767 00005 READ CHAN5 # DCA 4 OR DCS 4
043422,000779: 6770 20162 DAS MPAC +5
043423,000780: 6771 00006 EXTEND
043424,000781: 6772 16774 BZF +2
043425,000782: 6773 07014 TC OVERFLWZ
043426,000783:
043427,000784: 6774 00006 EXTEND
043428,000785: 6775 50116 INDEX ADDRWD
043429,000786: 6776 00001 READ LCHAN # DCA 0 OR DCS 0
043430,000787: 6777 17003 TCF ENDVXV
043431,000788:
043432,000789: 7000 00006 DAD EXTEND
043433,000790: 7001 50116 INDEX ADDRWD
043434,000791: 7002 30001 DCA 0
043435,000792: 7003 20155 ENDVXV DAS MPAC # VXV FINISHES HERE.
043436,000793: 7004 00006 EXTEND
043437,000794: 7005 16064 BZF DANZIG
043438,000795:
|
|
Page 1021
|
043440,000797: 7006 07022 SETOVF TC OVERFLOW
043441,000798: 7007 16064 TCF DANZIG
043442,000799:
|
|
Page 1022
|
043444,000801: 7010 00006 DSU EXTEND
043445,000802: 7011 50116 INDEX ADDRWD
043446,000803: 7012 40001 DCS 0
043447,000804: 7013 17003 TCF ENDVXV
043448,000805:
043449,000806: 7014 54001 OVERFLWZ TS L # ENTRY FOR THIRD COMPONENT.
043450,000807: 7015 34756 CAF FIVE
043451,000808: 7016 17021 TCF +3
043452,000809:
043453,000810: 7017 54001 OVERFLWY TS L # ENTRY FOR SECOND COMPONENT.
043454,000811: 7020 36250 CAF THREE
043455,000812: 7021 56001 XCH L
043456,000813:
043457,000814: 7022 50000 OVERFLOW INDEX A # ENTRY FOR 1ST COMP OR DP (L=0).
043458,000815: 7023 44734 CS LIMITS # PICK UP POSMAX OR NEGMAX.
043459,000816: 7024 54130 TS BUF
043460,000817: 7025 00006 EXTEND
043461,000818: 7026 24000 AUG A # FORCE OVERFLOW.
043462,000819: 7027 50001 INDEX L
043463,000820: 7030 26155 ADS MPAC +1
043464,000821: 7031 54007 TS 7
043465,000822: 7032 34755 CAF ZERO
043466,000823: 7033 60130 AD BUF
043467,000824: 7034 50001 INDEX L
043468,000825: 7035 26154 ADS MPAC
043469,000826: 7036 54007 TS 7
043470,000827: 7037 00002 TC Q # NO OVERFLOW EXIT.
043471,000828: 7040 17155 TCF SETOVF2 # SET OVFIND AND EXIT.
043472,000829:
043473,000830: 7041 00006 BVSU EXTEND
043474,000831: 7042 50116 INDEX ADDRWD
043475,000832: 7043 30003 DCA 2
043476,000833: 7044 52160 DXCH MPAC +3
043477,000834: 7045 00006 EXTEND
043478,000835: 7046 40001 DCOM
043479,000836: 7047 20160 DAS MPAC +3
043480,000837: 7050 00006 EXTEND
043481,000838: 7051 17053 BZF +2
043482,000839: 7052 07017 TC OVERFLWY
043483,000840:
043484,000841: 7053 00006 EXTEND
043485,000842: 7054 50116 INDEX ADDRWD
043486,000843: 7055 30005 DCA 4
043487,000844: 7056 52162 DXCH MPAC +5
043488,000845: 7057 00006 EXTEND
043489,000846: 7060 40001 DCOM
043490,000847: 7061 20162 DAS MPAC +5
043491,000848: 7062 00006 EXTEND
043492,000849: 7063 17065 BZF +2
043493,000850: 7064 07014 TC OVERFLWZ
043494,000851:
|
|
Page 1023
|
043496,000853: 7065 00006 BDSU EXTEND
043497,000854: 7066 50116 INDEX ADDRWD
043498,000855: 7067 30001 DCA 0
043499,000856: 7070 52155 DXCH MPAC
043500,000857: 7071 00006 EXTEND
043501,000858: 7072 40001 DCOM
043502,000859: 7073 17003 TCF ENDVXV
043503,000860:
|
|
Page 1024
|
043505,000862: # TRIPLE PRECISION ADD ROUTINE.
043506,000863:
043507,000864: 7074 00006 TAD EXTEND
043508,000865: 7075 50116 INDEX ADDRWD
043509,000866: 7076 30002 DCA 1 # ADD MINOR PARTS FIRST.
043510,000867: 7077 20156 DAS MPAC +1
043511,000868: 7100 50116 INDEX ADDRWD
043512,000869: 7101 60000 AD 0
043513,000870: 7102 60154 AD MPAC
043514,000871: 7103 54154 TS MPAC
043515,000872: 7104 16064 TCF DANZIG
043516,000873:
043517,000874: 7105 17006 TCF SETOVF # SET OVFIND IF SUCH OCCURS.
043518,000875:
|
|
Page 1025
|
043520,000877: # ARITHMETIC SUBROUTINES REQUIRED IN FIXED-FIXED.
043521,000878: # 1. DMPSUB DOUBLE PRECISION MULTIPLY. MULTIPLY THE CONTENTS OF MPAC,+1 BY THE DP WORD WHOSE ADDRESS
043522,000879: # IS IN ADDRWD AND LEAVE A TRIPLE PRECISION RESULT IN MPAC.
043523,000880: # 2. ROUNDSUB ROUND THE TRIPLE PRECISON CONTENTS OF MPAC TO DOUBLE PRECISION.
043524,000881: # 3. DOTSUB TAKE THE DOT PRODUCT OF THE VECTOR IN MPAC AND THE VECTOR WHOSE ADDRESS IS IN ADDRWD
043525,000882: # AND LEAVE THE TRIPLE PRECISION RESULT IN MPAC.
043526,000883: # 4. POLY USING THE CONTENTS OF MPAC AS A DP ARGUMENT, EVALUATE THE POLYNOMIAL WHOSE DEGREE AND
043527,000884: # COEFFICIENTS IMMEDIATELY FOLLOW THE TC POLY INSTRUCTION (SEE ROUTINE FOR DETAILS.)
043528,000885:
043529,000886: 7106 50002 DMP INDEX Q # BASIC SUBROUTINE FOR USE BY PINBALL, ETC
043530,000887: 7107 30000 CAF 0 # ADRES OF ARGUMENT FOLLOWS TC DMP .
043531,000888: 7110 24002 INCR Q
043532,000889: 7111 54116 -1 TS ADDRWD # (PROLOGUE FOR SETTING ADDRWD.)
043533,000890:
043534,000891: 7112 50116 DMPSUB INDEX ADDRWD # GET MINOR PART OF OPERAND AT C(ADDRWD).
043535,000892: 7113 30001 CA 1
043536,000893: 7114 54156 TS MPAC +2 # THIS WORKS FOR SQUARING MPAC AS WELL.
043537,000894: 7115 34755 CAF ZERO # SET MPAC +1 TO ZERO SO WE CAN ACCUMULATE
043538,000895: 7116 56155 XCH MPAC +1 # THE PARTIAL PRODUCTS WITH DAS
043539,000896: 7117 54135 TS MPTEMP # INSTRUCTIONS.
043540,000897: 7120 00006 EXTEND
043541,000898: 7121 70156 MP MPAC +2 # MINOR OF MPAC X MINOR OF C(ADDRWD).
043542,000899:
043543,000900: 7122 56156 XCH MPAC +2 # DISCARD MINOR PART OF ABOVE RESULT AND
043544,000901: 7123 00006 EXTEND # FORM MAJOR OF MPAC X MINOR OF C(ADDRWD).
043545,000902: 7124 70154 MP MPAC
043546,000903: 7125 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW.
043547,000904:
043548,000905: 7126 50116 INDEX ADDRWD # GET MAJOR PART OF ARGUMENT AT C(ADDRWD).
043549,000906: 7127 30000 CA 0
043550,000907: 7130 56135 XCH MPTEMP # SAVE AND BRING OUT MINOR OF MPAC.
043551,000908: 7131 00006 DMPSUB2 EXTEND
043552,000909: 7132 70135 MP MPTEMP # MAJOR OF C(ADDRWD) X MINOR OF MPAC.
043553,000910: 7133 20156 DAS MPAC +1 # ACCUMULATE, SETTING A TO NET OVERFLOW.
043554,000911:
043555,000912: 7134 56154 XCH MPAC # SETTING MPAC TO 0 OR +-1.
043556,000913: 7135 00006 EXTEND
043557,000914: 7136 70135 MP MPTEMP # MAJOR OF MPAC X MAJOR OF C(ADDRWD).
043558,000915: 7137 20155 DAS MPAC # GUARANTEED NO OVERFLOW.
043559,000916: 7140 00002 TC Q # 49 MCT = .573 MS. INCLUDING RETURN.
043560,000917:
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|
Page 1026
|
043562,000919: # ROUND MPAC TO DOUBLE PRECISION, SETTING OVFIND ON THE RARE EVENT OF OVERFLOW.
043563,000920:
043564,000921: 7141 34755 ROUNDSUB CAF ZERO # SET MPAC +2 = 0 FOR SCALARS AND CHANGE
043565,000922: 7142 54163 +1 TS MODE # MODE TO DP.
043566,000923:
043567,000924: 7143 56156 VROUND XCH MPAC +2 # BUT WE NEEDNT TAKE THE TIME FOR VECTORS.
043568,000925: 7144 60000 DOUBLE
043569,000926: 7145 54001 TS L
043570,000927: 7146 00002 TC Q
043571,000928:
043572,000929: 7147 60155 AD MPAC +1 # ADD ROUNDING BIT IF MPAC +2 WAS GREATER
043573,000930: 7150 54155 TS MPAC +1 # THAN .5 IN MAGNITUDE.
043574,000931: 7151 00002 TC Q
043575,000932:
043576,000933: 7152 60154 AD MPAC # PROPAGATE INTERFLOW.
043577,000934: 7153 54154 TS MPAC
043578,000935: 7154 00002 TC Q
043579,000936:
043580,000937: 7155 54121 SETOVF2 TS OVFIND # (RARE).
043581,000938: 7156 00002 TC Q
043582,000939:
|
|
Page 1027
|
043584,000941: # THE DOT PRODUCT SUBROUTINE USUALLY FORMS THE DOT PRODUCT OF THE VECTOR IN MPAC WITH A STANDARD SIX
043585,000942: # REGISTER VECTOR WHOSE ADDRESS IS IN ADDRWD. IN THIS CASE C(DOTINC) ARE SET TO 2. VXM, HOWEVER, SETS C(DOTINC) TO
043586,000943: # 6 SO THAT DOTSUB DOTS MPAC WITH A COLUMN VECTOR OF THE MATRIX IN QUESTION IN THIS CASE.
043587,000944:
043588,000945: 7157 34752 PREDOT CAF TWO # PROLOGUE TO SET DOTINC TO 2.
043589,000946: 7160 54136 TS DOTINC
043590,000947:
043591,000948: 7161 00006 DOTSUB EXTEND
043592,000949: 7162 22137 QXCH DOTRET # SAVE RETURN.
043593,000950: 7163 07112 TC DMPSUB # DOT X COMPONENTS.
043594,000951: 7164 52160 DXCH MPAC +3 # POSITION Y COMPONENT OF MPAC FOR
043595,000952: 7165 52155 DXCH MPAC # MULTIPLICATION WHILE SAVING RESULT IN
043596,000953: 7166 52131 DXCH BUF # THREE WORD BUFFER, BUF.
043597,000954: 7167 30156 CA MPAC +2
043598,000955: 7170 54132 TS BUF +2
043599,000956:
043600,000957: 7171 30136 CA DOTINC # ADVANCE ADDRWD TO Y COMPONENT OF
043601,000958: 7172 26116 ADS ADDRWD # OTHER ARGUMENT.
043602,000959: 7173 07112 TC DMPSUB
043603,000960: 7174 52156 DXCH MPAC +1 # ACCUMULATE PARTIAL PRODUCTS.
043604,000961: 7175 20132 DAS BUF +1
043605,000962: 7176 60154 AD MPAC
043606,000963: 7177 60130 AD BUF
043607,000964: 7200 54130 TS BUF
043608,000965: 7201 17203 TCF +2
043609,000966: 7202 54121 TS OVFIND # IF OVERFLOW OCCURS.
043610,000967:
043611,000968: 7203 52162 DXCH MPAC +5 # MULTIPLY Z COMPONENTS.
043612,000969: 7204 52155 DXCH MPAC
043613,000970: 7205 30136 CA DOTINC
043614,000971: 7206 26116 ADS ADDRWD
043615,000972: 7207 07112 TC DMPSUB
043616,000973: 7210 52132 ENDDOT DXCH BUF +1 # LEAVE FINAL ACCUMULATION IN MPAC.
043617,000974: 7211 20156 DAS MPAC +1
043618,000975: 7212 60154 AD MPAC
043619,000976: 7213 60130 AD BUF
043620,000977: 7214 54154 TS MPAC
043621,000978: 7215 00137 TC DOTRET
043622,000979:
043623,000980: 7216 07022 TC OVERFLOW # ON OVERFLOW HERE.
043624,000981: 7217 00137 TC DOTRET
043625,000982:
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|
Page 1028
|
043627,000984: # DOUBLE PRECISION POLYNOMIAL EVALUATOR
043628,000985: # N N-1
043629,000986: # THIS ROUTINE EVALUATES A X + A X + ... + A X + A LEAVING THE DP RESULT IN MPAC ON EXIT.
043630,000987: # N N-1 1 0
043631,000988:
043632,000989: # THE ROUTINE HAS TWO ENTRIES
043633,000990:
043634,000991: # 1. ENTRY THRU POWRSERS. THE COEFFICIENTS MAY BE EITHER IN FIXED OR ERASABLE, THE CALL IS BY
043635,000992: # TC POWRSERS, AND THE RETURN IS TO LOC(TC POWRSERS)+1. THE ENTERING DATA MUST BE AS FOLLOWS
043636,000993: # A SP LOC-3 ADDRESS FOR REFERENCING COEF TABLE
043637,000994: # L SP N-1 N IS THE DEGREE OF THE POWER SERIES
043638,000995: # MPAC DP X ARGUMENT
043639,000996: # LOC-2N DP A(0)
043640,000997: # ...
043641,000998: # LOC DP A(N)
043642,000999:
043643,001000: # 2. ENTRY THRU POLY. THE CALL TO POLY AND THE ENTERING DATA MUST BE AS FOLLOWS
043644,001001: # MPAC DP X ARGUMENT
043645,001002:
043646,001003: # LOC TC POLY
043647,001004: # LOC+1 SP N-1
043648,001005: # LOC+2 DP A(0)
043649,001006: # ...
043650,001007: # LOC+2N+2 DP A(N) RETURN IS TO LOC+2N+4
043651,001008:
043652,001009: 7220 00006 POWRSERS EXTEND
043653,001010: 7221 22141 QXCH POLYRET # RETURN ADDRESS
043654,001011: 7222 54117 TS POLISH # POWER SERIES ADDRESS
043655,001012: 7223 22140 LXCH POLYCNT # N-1 TO COUNTER
043656,001013: 7224 17235 TCF POLYCOM # SKIP SET UP BY POLY
043657,001014:
043658,001015: 7225 50002 POLY INDEX Q
043659,001016: 7226 30000 CAF 0
043660,001017: 7227 54140 TS POLYCNT # N-1 TO COUNTER
043661,001018: 7230 60000 DOUBLE
043662,001019: 7231 60002 AD Q
043663,001020: 7232 54117 TS POLISH # L(A(N))-3 TO POLISH
043664,001021: 7233 64756 AD FIVE
043665,001022: 7234 54141 TS POLYRET # STORE RETURN ADDRESS
043666,001023:
043667,001024: 7235 36276 POLYCOM CAF LVBUF # INCOMING X WILL BE MOVED TO VBUF, SO
043668,001025: 7236 54116 TS ADDRWD # SET ADDRWD SO DMPSUB WILL MPY BY VBUF.
043669,001026:
043670,001027: 7237 00006 EXTEND
043671,001028: 7240 50117 INDEX POLISH
043672,001029: 7241 30004 DCA 3
043673,001030:
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|
Page 1029
|
043675,001032: 7242 52155 DXCH MPAC # LOAD A(N) INTO MPAC,
043676,001033: 7243 52123 DXCH VBUF # SAVING X IN VBUF
043677,001034: 7244 17250 TCF POLY2
043678,001035:
043679,001036: 7245 54140 POLYLOOP TS POLYCNT # SAVE DECREMENTED LOOP COUNTER
043680,001037: 7246 44752 CS TWO
043681,001038: 7247 26117 ADS POLISH # REGRESS COEFFICIENT POINTER
043682,001039:
043683,001040: 7250 07112 POLY2 TC DMPSUB # MULTIPLY BY X
043684,001041: 7251 00006 EXTEND
043685,001042: 7252 50117 INDEX POLISH
043686,001043: 7253 30002 DCA 1 # ADD IN NEXT COEFFICIENT
043687,001044: 7254 20155 DAS MPAC # USERS RESPONSIBILITY TO ASSURE NO OVFLOW
043688,001045:
043689,001046: 7255 10140 CCS POLYCNT
043690,001047: 7256 17245 TCF POLYLOOP
043691,001048: 7257 00141 TC POLYRET # RETURN CALLER
043692,001049:
|
|
Page 1030
|
043694,001051: # MISCELLANEOUS MULTI-PRECISION ROUTINES REQUIRED IN FIXED-FIXED BUT NOT USED BY THE INTERPRETER.
043695,001052:
043696,001053: 7260 34755 DPAGREE CAF ZERO # DOUBLE PRECISION ENTRY -
043697,001054: 7261 54156 TS MPAC +2 # ZERO LOW-ORDER WORD
043698,001055:
043699,001056: 7262 22002 TPAGREE LXCH Q # FORCE SIGN AGREEMENT AMONG THE TRIPLE
043700,001057: 7263 06726 TC BRANCH # PRECISION CONTENTS OF MPAC. RETURNING
043701,001058: 7264 17270 TCF ARG+ # WITH SIGNUM OF THE INPUT IN A.
043702,001059: 7265 17310 TCF ARGZERO
043703,001060:
043704,001061: 7266 44733 CS POSMAX # IF NEGATIVE.
043705,001062: 7267 17271 TCF +2
043706,001063:
043707,001064: 7270 34733 ARG+ CAF POSMAX
043708,001065: 7271 54002 TS Q
043709,001066: 7272 00006 EXTEND
043710,001067: 7273 24000 AUG A # FORMS +-1.0.
043711,001068: 7274 60156 AD MPAC +2
043712,001069: 7275 54156 TS MPAC +2
043713,001070: 7276 34755 CAF ZERO
043714,001071: 7277 60002 AD Q
043715,001072: 7300 60155 AD MPAC +1
043716,001073: 7301 54155 TS MPAC +1
043717,001074: 7302 34755 CAF ZERO
043718,001075: 7303 60002 AD Q # Q STILL HAS POSMAX OR NEGMAX IN IT.
043719,001076: 7304 60154 AD MPAC
043720,001077: 7305 54154 ARGZERO2 TS MPAC # ALWAYS SKIPPING UNLESS ARGZERO.
043721,001078: 7306 54155 TS MPAC +1
043722,001079: 7307 00001 TC L # RETURN VIA L.
043723,001080:
043724,001081: 7310 54156 ARGZERO TS MPAC +2 # SET ALL THREE MPAC REGISTERS TO ZERO.
043725,001082: 7311 17305 TCF ARGZERO2
043726,001083:
043727,001084: # SHORTMP MULTIPLIES THE TP CONTENTS OF MPAC BY THE SINGLE PRECISION NUMBER ARRIVING IN A.
043728,001085:
043729,001086: 7312 54135 SHORTMP TS MPTEMP
043730,001087: 7313 00006 EXTEND
043731,001088: 7314 70156 MP MPAC +2
043732,001089: 7315 54156 TS MPAC +2
043733,001090: 7316 34755 SHORTMP2 CAF ZERO # SO SUBSEQUENT DAS WILL WORK.
043734,001091: 7317 56155 XCH MPAC +1
043735,001092: 7320 17131 TCF DMPSUB2
043736,001093:
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|
Page 1031
|
043738,001095: # DMPNSUB MULTIPLIES THE DP FRACTION ARRIVING IN MPAC BY THE SP
043739,001096: # INTEGER ARRIVING IN A. THE DP PRODUCT DEPARTS BOTH IN MPAC AND IN
043740,001097: # A AND L. NOTE THAT DMPNSUB NORMALLY INCREASES THE MAGNITUDE OF THE
043741,001098: # CONTENTS OF MPAC. THE CUSTOMER MUST INSURE THAT B(A) X B(MPAC,MPAC+1)
043742,001099: # AND B(A) X B(MPAC) ARE LESS THAN 1 IN MAGNITUDE, WHERE B, AS IS OBVIOUS,
043743,001100: # INDICATES THE ARRIVING CONTENTS.
043744,001101:
043745,001102: 7321 54135 DMPNSUB TS DMPNTEMP
043746,001103: 7322 00006 EXTEND
043747,001104: 7323 70155 MP MPAC +1
043748,001105: 7324 52155 DXCH MPAC # LOW PRODUCT TO MPAC, HIGH FACTOR TO A
043749,001106: 7325 00006 EXTEND
043750,001107: 7326 70135 MP DMPNTEMP
043751,001108: 7327 30001 CA L
043752,001109: 7330 26154 ADS MPAC # COMPLETING THE PRODUCT IN MPAC
043753,001110: 7331 00006 EXTEND
043754,001111: 7332 30155 DCA MPAC # BRINGING THE PRODUCT INTO A AND L
043755,001112: 7333 00002 TC Q
043756,001113:
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|
Page 1032
|
043758,001115: # MISCELLANEOUS VECTOR OPERATIONS. INCLUDED HERE ARE THE FOLLOWING:
043759,001116: # 1. DOT DP VECTOR DOT PRODUCT.
043760,001117: # 2. VXV DP VECTOR CROSS PRODUCT.
043761,001118: # 3. VXSC DP VECTOR TIMES SCALAR.
043762,001119: # 4. V/SC DP VECTOR DIVIDED BY SCALAR.
043763,001120: # 5. VPROJ DP VECTOR PROJECTION. ( (MPAC.X)MPAC ).
043764,001121: # 6. VXM DP VECTOR POST-MULTIPLIED BY MATRIX.
043765,001122: # 7. MXV DP VECTOR PRE-MULTIPLIED BY MATRIX.
043766,001123:
043767,001124: 7334 07157 DOT TC PREDOT # DO THE DOT PRODUCT AND EXIT, CHANGING
043768,001125: 7335 34755 DMODE CAF ZERO # THE MODE TO DP SCALAR.
043769,001126: 7336 16063 TCF NEWMODE
043770,001127:
043771,001128: 7337 34752 MXV CAF TWO # SET UP MATINC AND DOTINC FOR ROW
043772,001129: 7340 54140 TS MATINC # VECTORS.
043773,001130: 7341 17345 TCF VXM/MXV # GO TO COMMON PORTION.
043774,001131:
043775,001132: 7342 44363 VXM CS TEN # SET MATINC AND DOTINC TO REFER TO MATRIX
043776,001133: 7343 54140 TS MATINC # AS THREE COLUMN VECTORS.
043777,001134: 7344 36245 CAF SIX
043778,001135:
|
|
Page 1033
|
043780,001137: # COMMON PORTION OF MXV AND VXM.
043781,001138:
043782,001139: 7345 54136 VXM/MXV TS DOTINC
043783,001140:
043784,001141: # ITRACE (2) REFERS TO "VXM/MXV".
043785,001142:
043786,001143: 7346 07535 TC MPACVBUF # SAVE VECTOR IN MPAC FOR FURTHER USE.
043787,001144:
043788,001145: 7347 07161 TC DOTSUB # GO DOT TO GET X COMPONENT OF ANSWER.
043789,001146: 7350 00006 EXTEND
043790,001147: 7351 30123 DCA VBUF # MOVE MPAC VECTOR BACK INTO MPAC, SAVING
043791,001148: 7352 52155 DXCH MPAC # NEW X COMPONENT IN BUF2.
043792,001149: 7353 52134 DXCH BUF2
043793,001150: 7354 00006 EXTEND
043794,001151: 7355 30125 DCA VBUF +2
043795,001152: 7356 52160 DXCH MPAC +3
043796,001153: 7357 00006 EXTEND
043797,001154: 7360 30127 DCA VBUF +4
043798,001155: 7361 52162 DXCH MPAC +5
043799,001156: 7362 30140 CA MATINC # INITIALIZE ADDRWD FOR NEXT DOT PRODUCT.
043800,001157: 7363 26116 ADS ADDRWD # FORMS BASE ADDRESS OF NEXT COLUMN(ROW).
043801,001158:
043802,001159: 7364 07161 TC DOTSUB
043803,001160: 7365 52123 DXCH VBUF # MOVE GIVEN VECTOR BACK TO MPAC, SAVING Y
043804,001161: 7366 52155 DXCH MPAC # COMPONENT OF ANSWER IN VBUF +2.
043805,001162: 7367 52125 DXCH VBUF +2
043806,001163: 7370 52160 DXCH MPAC +3
043807,001164: 7371 52127 DXCH VBUF +4
043808,001165: 7372 52162 DXCH MPAC +5
043809,001166: 7373 30140 CA MATINC # FORM ADDRESS OF LAST COLUMN OR ROW.
043810,001167: 7374 26116 ADS ADDRWD
043811,001168:
043812,001169: 7375 07161 TC DOTSUB
043813,001170: 7376 52134 DXCH BUF2 # ANSWER NOW COMPLETE. PUT COMPONENTS INTO
043814,001171: 7377 52155 DXCH MPAC # PROPER MPAC REGISTERS.
043815,001172: 7400 52162 DXCH MPAC +5
043816,001173: 7401 52125 DXCH VBUF +2
043817,001174: 7402 52160 DXCH MPAC +3
043818,001175: 7403 16064 TCF DANZIG # EXIT.
043819,001176:
|
|
Page 1034
|
043821,001178: # VXSC - VECTOR TIMES SCALAR.
043822,001179:
043823,001180: 7404 10163 VXSC CCS MODE # TEST PRESENT MODE.
043824,001181: 7405 17433 TCF DVXSC # SEPARATE ROUTINE WHEN SCALAR IS IN MPAC.
043825,001182: 7406 17433 TCF DVXSC
043826,001183:
043827,001184: 7407 07112 VVXSC TC DMPSUB # COMPUTE X COMPONENT
043828,001185: 7410 07143 TC VROUND # AND ROUND IT.
043829,001186: 7411 52160 DXCH MPAC +3 # PUT Y COMPONENT INTO MPAC SAVING MPAC IN
043830,001187: 7412 52155 DXCH MPAC # MPAC +3.
043831,001188: 7413 52160 DXCH MPAC +3
043832,001189:
043833,001190: 7414 07112 TC DMPSUB # DO SAME FOR Y AND Z COMPONENTS.
043834,001191: 7415 07143 TC VROUND
043835,001192: 7416 52162 DXCH MPAC +5
043836,001193: 7417 52155 DXCH MPAC
043837,001194: 7420 52162 DXCH MPAC +5
043838,001195:
043839,001196: 7421 07112 TC DMPSUB
043840,001197: 7422 07143 TC VROUND
043841,001198: 7423 52155 VROTATEX DXCH MPAC # EXIT USED TO RESTORE MPAC AFTER THIS
043842,001199: 7424 52162 DXCH MPAC +5 # TYPE OF ROTATION. CALLED BY VECTOR SHIFT
043843,001200: 7425 52160 DXCH MPAC +3 # RIGHT, V/SC, ETC.
043844,001201: 7426 52155 DXCH MPAC
043845,001202: 7427 16064 TCF DANZIG
043846,001203:
|
|
Page 1035
|
043848,001205: # DP VECTOR PROJECTION ROUTINE.
043849,001206:
043850,001207: 7430 07157 VPROJ TC PREDOT # (MPAC.X)MPAC IS COMPUTED AND LEFT IN
043851,001208: 7431 44751 CS FOUR # MPAC. DO DOT AND FALL INTO DVXSC.
043852,001209: 7432 26116 ADS ADDRWD
043853,001210:
043854,001211: # VXSC WHEN SCALAR ARRIVES IN MPAC AND VECTOR IS AT X.
043855,001212:
043856,001213: 7433 00006 DVXSC EXTEND # SAVE SCALAR IN MPAC +3 AND GET X
043857,001214: 7434 30155 DCA MPAC # COMPONENT OF ANSWER.
043858,001215: 7435 52160 DXCH MPAC +3
043859,001216: 7436 07112 TC DMPSUB
043860,001217: 7437 07143 TC VROUND
043861,001218:
043862,001219: 7440 34752 CAF TWO # ADVANCE ADDRWD TO Y COMPONENT OF X.
043863,001220: 7441 26116 ADS ADDRWD
043864,001221: 7442 00006 EXTEND
043865,001222: 7443 30160 DCA MPAC +3 # PUT SCALAR BACK INTO MPAC AND SAVE
043866,001223: 7444 52155 DXCH MPAC # X RESULT IN MPAC +5.
043867,001224: 7445 52162 DXCH MPAC +5
043868,001225: 7446 07112 TC DMPSUB
043869,001226: 7447 07143 TC VROUND
043870,001227:
043871,001228: 7450 34752 CAF TWO
043872,001229: 7451 26116 ADS ADDRWD # TO Z COMPONENT.
043873,001230: 7452 52160 DXCH MPAC +3 # BRING SCALAR BACK, PUTTING Y RESULT IN
043874,001231: 7453 52155 DXCH MPAC # THE PROPER PLACE.
043875,001232: 7454 52160 DXCH MPAC +3
043876,001233: 7455 07112 TC DMPSUB
043877,001234: 7456 07143 TC VROUND
043878,001235:
043879,001236: 7457 52155 DXCH MPAC # PUT Z COMPONENT IN PROPER PLACE, ALSO
043880,001237: 7460 52162 DXCH MPAC +5 # POSITIONING X.
043881,001238: 7461 52155 DXCH MPAC
043882,001239:
043883,001240: 7462 16524 TCF VMODE # MODE HAS CHANGED TO VECTOR.
043884,001241:
|
|
Page 1036
|
043886,001243: # THE VECTOR CROSS PRODUCT ROUTINE CALCULATES (X M -X M ,X M -X M ,X M -X M ) WHERE M IS THE VECTOR IN
043887,001244: # 3 2 2 3 1 3 3 1 2 1 1 2
043888,001245: # MPAC AND X THE VECTOR AT THE GIVEN ADDRESS.
043889,001246:
043890,001247: 7463 00006 VXV EXTEND
043891,001248: 7464 30162 DCA MPAC +5 # FORM UP M3X1, LEAVING M1 IN VBUF.
043892,001249: 7465 52155 DXCH MPAC
043893,001250: 7466 52123 DXCH VBUF
043894,001251: 7467 07112 TC DMPSUB # BY X1.
043895,001252:
043896,001253: 7470 00006 EXTEND
043897,001254: 7471 40160 DCS MPAC +3 # CALCULATE -X1M2, SAVING X1M3 IN VBUF +2.
043898,001255: 7472 52155 DXCH MPAC
043899,001256: 7473 52125 DXCH VBUF +2
043900,001257: 7474 07112 TC DMPSUB
043901,001258:
043902,001259: 7475 34752 CAF TWO # ADVANCE ADDRWD TO X2.
043903,001260: 7476 26116 ADS ADDRWD
043904,001261: 7477 00006 EXTEND
043905,001262: 7500 40162 DCS MPAC +5 # PREPARE TO GET -X2M3, SAVING -X1M2 IN
043906,001263: 7501 52155 DXCH MPAC # MPAC +5.
043907,001264: 7502 52162 DXCH MPAC +5
043908,001265: 7503 07112 TC DMPSUB
043909,001266:
043910,001267: 7504 00006 EXTEND
043911,001268: 7505 30123 DCA VBUF # GET X2M1, SAVING -X2M3 IN VBUF +4.
043912,001269: 7506 52155 DXCH MPAC
043913,001270: 7507 52127 DXCH VBUF +4
043914,001271: 7510 07112 TC DMPSUB
043915,001272:
043916,001273: 7511 34752 CAF TWO # ADVANCE ADDRWD TO X3.
043917,001274: 7512 26116 ADS ADDRWD
043918,001275: 7513 00006 EXTEND
043919,001276: 7514 40123 DCS VBUF # GET -X3M1, ADDING X2M1 TO MPAC +5 TO
043920,001277: 7515 52155 DXCH MPAC # COMPLETE THE Z COMPONENT OF THE ANSWER.
043921,001278: 7516 20162 DAS MPAC +5
043922,001279:
043923,001280: 7517 00006 EXTEND
043924,001281: 7520 17522 BZF +2
043925,001282: 7521 07014 TC OVERFLWZ
043926,001283:
043927,001284: 7522 07112 TC DMPSUB
043928,001285: 7523 52125 DXCH VBUF +2 # MOVE X1M3 TO MPAC +3 SETTING UP FOR X3M2
043929,001286: 7524 52160 DXCH MPAC +3 # AND ADD -X3M1 TO MPAC +3 TO COMPLETE THE
043930,001287: 7525 52155 DXCH MPAC # Y COMPONENT OF THE RESULT.
043931,001288: 7526 20160 DAS MPAC +3
043932,001289:
043933,001290: 7527 00006 EXTEND
043934,001291: 7530 17532 BZF +2
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|
Page 1037
|
043936,001293: 7531 07017 TC OVERFLWY
043937,001294:
043938,001295: 7532 07112 TC DMPSUB
043939,001296: 7533 52127 DXCH VBUF +4 # GO ADD -X2M3 TO X3M2 TO COMPLETE THE X
043940,001297: 7534 17003 TCF ENDVXV # COMPONENT (TAIL END OF DAD).
043941,001298:
043942,001299: # THE MPACVBUF SUBROUTINE SAVES THE VECTOR IN MPAC IN VBUF WITHOUT CLOBBERING MPAC.
043943,001300:
043944,001301: 7535 00006 MPACVBUF EXTEND # CALLED BY MXV, VXM, AND UNIT.
043945,001302: 7536 30155 DCA MPAC
043946,001303: 7537 52123 DXCH VBUF
043947,001304: 7540 00006 EXTEND
043948,001305: 7541 30160 DCA MPAC +3
043949,001306: 7542 52125 DXCH VBUF +2
043950,001307: 7543 00006 EXTEND
043951,001308: 7544 30162 DCA MPAC +5
043952,001309: 7545 52127 DXCH VBUF +4
043953,001310: 7546 00002 TC Q # RETURN TO CALLER.
043954,001311:
043955,001312: # DOUBLE PRECISION SIGN AGREE ROUTINE. ARRIVE WITH INPUT IN A+L. OUTPUT IS IN A + L.
043956,001313:
043957,001314: 7547 10000 ALSIGNAG CCS A # TEST UPPER PART.
043958,001315: 7550 17554 TCF UPPOS # IT IS POSITIVE
043959,001316: 7551 00002 TC Q # ZERO
043960,001317: 7552 17564 TCF UPNEG # NEGATIVE
043961,001318: 7553 00002 TC Q # ZERO
043962,001319:
043963,001320: 7554 56001 UPPOS XCH L # SAVE DECREMENTED UPPER PART.
043964,001321: 7555 64736 AD HALF
043965,001322: 7556 64736 AD HALF
043966,001323: 7557 54000 TS A # SKIPS ON OVERFLOW
043967,001324: 7560 17562 TCF +2
043968,001325: 7561 24001 INCR L # RESTORE UPPER TO ROIGINAL VALUE
043969,001326: 7562 56001 XCH L # SWAP A + L BACK.
043970,001327: 7563 00002 TC Q
043971,001328:
043972,001329: 7564 56001 UPNEG XCH L # SAVE COMPLEMENTED + DECREMENTED UPPER PT
043973,001330: 7565 64735 AD NEGMAX
043974,001331: 7566 67752 AD NEGONE
043975,001332: 7567 54000 TS A
043976,001333: 7570 17572 TCF +2 # DONT INCREMENT IF NO OVERFLOW.
043977,001334: 7571 24001 INCR L
043978,001335: 7572 56001 XCH L
043979,001336: 7573 40000 COM # MAKE NEGATIVE AGAIN.
043980,001337: 7574 00002 TC Q
043981,001338:
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|
Page 1038
|
043983,001340: # INTERPRETIVE INSTRUCTIONS WHOSE EXECUTION CONSISTS OF PRINCIPALLY CALLING SUBROUTINES.
043984,001341:
043985,001342: 7575 07112 DMP1 TC DMPSUB # DMP INSTRUCTION.
043986,001343: 7576 16064 TCF DANZIG
043987,001344:
043988,001345: 7577 07112 DMPR TC DMPSUB
043989,001346: 7600 07142 TC ROUNDSUB +1 # (C(A) = +0).
043990,001347: 7601 16064 TCF DANZIG
043991,001348:
043992,001349: 7602 00006 DDV EXTEND
043993,001350: 7603 50116 INDEX ADDRWD # MOVE DIVIDEND INTO BUF.
043994,001351: 7604 30001 DCA 0
043995,001352: 7605 17612 TCF BDDV +4
043996,001353:
043997,001354: 7606 00006 BDDV EXTEND # MOVE DIVISOR INTO MPAC SAVING MPAC, THE
043998,001355: 7607 50116 INDEX ADDRWD # DIVIDEND, IN BUF.
043999,001356: 7610 30001 DCA 0
044000,001357: 7611 52155 DXCH MPAC
044001,001358: 7612 52131 +4 DXCH BUF
044002,001359: 7613 34755 CAF ZERO # DIVIDE ROUTINES IN BANK 0.
044003,001360: 7614 54004 TS FBANK
044004,001361: 7615 12353 TCF DDV/BDDV
044005,001362:
044006,001363: 7616 30116 SETPD CA ADDRWD # MUST SET TO WORK AREA, OR EBANK TROUBLE.
044007,001364: 7617 54166 TS PUSHLOC
044008,001365: 7620 16066 TCF NOIBNKSW # NO FBANK SWITCH REQUIRED.
044009,001366:
044010,001367: 7621 34755 TSLC CAF ZERO # SHIFTING ROUTINES LOCATED IN BANK 00.
044011,001368: 7622 54004 TS FBANK
044012,001369: 7623 12172 TCF TSLC2
044013,001370:
044014,001371: 7624 36077 GSHIFT CAF LOW7 # USED AS MASK AT GENSHIFT. THIS PROCESSES
044015,001372: 7625 54004 TS FBANK # ANY SHIFT INSTRUCTION (EXCEPT TSLC) WITH
044016,001373: 7626 12214 TCF GENSHIFT # AN ADDRESS (ROUTINES IN BANK 0).
044017,001374:
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|
Page 1039
|
044019,001376: # THE FOLLOWING IS THE PROLOGUE TO V/SC. IF THE PRESENT MODE IS VECTOR, IT SAVES THE SCALAR AT X IN BUF
044020,001377: # AND CALLS THE V/SC ROUTINE IN BANK 0. IF THE PRESENT MODE IS SCALAR, IT MOVES THE VECTOR AT X INTO MPAC, SAVING
044021,001378: # THE SCALAR IN MPAC IN BUF BEFORE CALLING THE V/SC ROUTINE IN BANK 0.
044022,001379:
044023,001380: 7627 10163 V/SC CCS MODE
044024,001381: 7630 17641 TCF DV/SC # MOVE VECTOR INTO MPAC.
044025,001382: 7631 17641 TCF DV/SC
044026,001383:
044027,001384: 7632 00006 VV/SC EXTEND
044028,001385: 7633 50116 INDEX ADDRWD
044029,001386: 7634 30001 DCA 0
044030,001387: 7635 52131 V/SC1 DXCH BUF # IN BOTH CASES, VECTOR IS NOW IN MPAC AND
044031,001388: 7636 34755 CAF ZERO # SCALAR IN BUF.
044032,001389: 7637 54004 TS FBANK
044033,001390: 7640 12654 TCF V/SC2
044034,001391:
044035,001392: 7641 00006 DV/SC EXTEND
044036,001393: 7642 50116 INDEX ADDRWD
044037,001394: 7643 30003 DCA 2
044038,001395: 7644 52160 DXCH MPAC +3
044039,001396: 7645 00006 EXTEND
044040,001397: 7646 50116 INDEX ADDRWD
044041,001398: 7647 30005 DCA 4
044042,001399: 7650 52162 DXCH MPAC +5
044043,001400:
044044,001401: 7651 44753 CS ONE # CHANGE MODE TO VECTOR.
044045,001402: 7652 54163 TS MODE
044046,001403:
044047,001404: 7653 00006 EXTEND
044048,001405: 7654 50116 INDEX ADDRWD
044049,001406: 7655 30001 DCA 0
044050,001407: 7656 52155 DXCH MPAC
044051,001408: 7657 17635 TCF V/SC1 # FINISH PROLOGUE AT COMMON SECTION.
044052,001409:
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|
Page 1040
|
044054,001411: # SIGN AND COMPLEMENT INSTRUCTIONS.
044055,001412:
044056,001413: 7660 50116 SIGN INDEX ADDRWD # CALL COMP INSTRUCTION IF WORD AT X IS
044057,001414: 7661 10000 CCS 0 # NEGATIVE NON-ZERO.
044058,001415: 7662 16064 TCF DANZIG
044059,001416: 7663 17665 TCF +2
044060,001417: 7664 17673 TCF COMP # DO THE COMPLEMENT.
044061,001418:
044062,001419: 7665 50116 INDEX ADDRWD
044063,001420: 7666 10001 CCSL CCS 1
044064,001421: 7667 16064 TCF DANZIG
044065,001422: 7670 16064 TCF DANZIG
044066,001423: 7671 17673 TCF COMP
044067,001424: 7672 16064 TCF DANZIG
044068,001425: 7673 00006 COMP EXTEND # COMPLEMENT DP MPAC IN EVERY CASE.
044069,001426: 7674 40155 DCS MPAC
044070,001427: 7675 52155 DXCH MPAC
044071,001428:
044072,001429: 7676 10163 CCS MODE # EITHER COMPLEMENT MPAC +3 OR THE REST OF
044073,001430: 7677 17710 TCF DCOMP # THE VECTOR ACCUMULATOR.
044074,001431: 7700 17710 TCF DCOMP
044075,001432:
044076,001433: 7701 00006 EXTEND # VECTOR COMPLEMENT.
044077,001434: 7702 40160 DCS MPAC +3
044078,001435: 7703 52160 DXCH MPAC +3
044079,001436: 7704 00006 EXTEND
044080,001437: 7705 40162 DCS MPAC +5
044081,001438: 7706 52162 DXCH MPAC +5
044082,001439: 7707 16064 TCF DANZIG
044083,001440:
044084,001441: 7710 40156 DCOMP CS MPAC +2
044085,001442: 7711 54156 TS MPAC +2
044086,001443: 7712 16064 TCF DANZIG
044087,001444:
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|
Page 1041
|
044089,001446: # THE FOLLOWING SHORT SHIFT CODES REQUIRE NO ADDRESS WORD:
044090,001447: # 1. SR1 TO SR4 SCALAR SHIFT RIGHT.
044091,001448: # 2. SR1R TO SR4R SCALAR SHIFT RIGHT AND ROUND.
044092,001449: # 3. SL1 TO SL4 SCALAR SHIFT LEFT.
044093,001450: # 4. SL1R TO SL4R SCALAR SHIFT LEFT AND ROUND.
044094,001451: # 5. VSR1 TO VSR8 VECTOR SHIFT RIGHT (ALWAYS ROUNDS).
044095,001452: # 6. VSL1 TO VSL8 VECTOR SHIFT LEFT (NEVER ROUNDS).
044096,001453: # THE FOLLOWING CODES REQUIRE AN ADDRESS WHICH MAY BE INDEXED:*
044097,001454: # 1. SR SCALAR SHIFT RIGHT.
044098,001455: # 2. SRR SCALAR SHIFT RIGHT AND ROUND.
044099,001456: # 3. SL SCALAR SHIFT LEFT.
044100,001457: # 4. SLR SCALAR SHIFT LEFT AND ROUND.
044101,001458: # 5. VSR VECTOR SHIFT RIGHT.
044102,001459: # 6. VSL VECTOR SHIFT LEFT.
044103,001460: # * IF THE ADDRESS IS INDEXED, AND THE INDEX MODIFICATION RESULTS IN A NEGATIVE SHIFT COUNT, A SHIFT OF THE
044104,001461: # ABSOLUTE VALUE OF THE COUNT IS DONE IN THE OPPOSITE DIRECTION.
044105,001462:
044106,001463: 00,2017 BANK 00
044107,001464:
044108,001465: 00,2017 COUNT* $$/INTER
044109,001466: 00,2017 36245 SHORTT CAF SIX # SCALAR SHORT SHIFTS COME HERE. THE SHIFT
044110,001467: 00,2020 70020 MASK CYR # COUNT-1 IS NOW IN BITS 2-3 OF CYR. THE
044111,001468: 00,2021 54021 TS SR # ROUNDING BIT IS IN BIT1 AT THIS POINT.
044112,001469:
044113,001470: 00,2022 10020 CCS CYR # SEE IF RIGHT OR LEFT SHIFT DESIRED.
044114,001471: 00,2023 12101 TCF TSSL # SHIFT LEFT.
044115,001472:
044116,001473: 00,2024 00024 SRDDV DEC 20 B-14 # MPTEMP SETTING FOR SR BEFORE DDV.
044117,001474:
044118,001475: 00,2025 50021 TSSR INDEX SR # GET SHIFTING BIT.
044119,001476: 00,2026 34736 CAF BIT14
044120,001477: 00,2027 54135 TS MPTEMP
044121,001478:
044122,001479: 00,2030 10020 CCS CYR # SEE IF A ROUND IS DESIRED.
044123,001480: 00,2031 02050 RIGHTR TC MPACSRND # YES - SHIFT RIGHT AND ROUND.
044124,001481: 00,2032 16063 TCF NEWMODE # SET MODE TO DP (C(A) = 0).
044125,001482: 00,2033 30135 MPACSHR CA MPTEMP # DO A TRIPLE PRECISION SHIFT RIGHT.
044126,001483: 00,2034 00006 EXTEND
044127,001484: 00,2035 70156 MP MPAC +2
044128,001485: 00,2036 54156 +3 TS MPAC +2 # (EXIT FROM SQRT AND ABVAL).
044129,001486: 00,2037 30135 CA MPTEMP
044130,001487: 00,2040 00006 EXTEND
044131,001488: 00,2041 70154 MP MPAC # SHIFT MAJOR PART INTO A,L AND PLACE IN
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Page 1042
|
044133,001490: 00,2042 52155 DXCH MPAC # MPAC,+1.
044134,001491: 00,2043 30135 CA MPTEMP
044135,001492: 00,2044 00006 EXTEND
044136,001493: 00,2045 70001 MP L # ORIGINAL C(MPAC +1).
044137,001494: 00,2046 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW.
044138,001495: 00,2047 16064 TCF DANZIG
044139,001496:
044140,001497: # MPAC SHIFT RIGHT AND ROUND SUBROUTINES.
044141,001498:
044142,001499: 00,2050 30156 MPACSRND CA MPAC +2 # WE HAVE TO DO ALL THREE MULTIPLIES SINCE
044143,001500: 00,2051 00006 EXTEND # MPAC +1 AND MPAC +2 MIGHT HAVE SIGN
044144,001501: 00,2052 70135 MP MPTEMP # DISAGREEMENT WITH A SHIFT RIGHT OF 1.
044145,001502: 00,2053 56155 XCH MPAC +1
044146,001503: 00,2054 00006 EXTEND
044147,001504: 00,2055 70135 MP MPTEMP
044148,001505: 00,2056 56155 XCH MPAC +1 # TRIAL MINOR PART.
044149,001506: 00,2057 60001 AD L
044150,001507:
044151,001508: 00,2060 60000 VSHR2 DOUBLE # (FINISH VECTOR COMPONENT SHIFT RIGHT
044152,001509: 00,2061 54156 TS MPAC +2 # AND ROUND.
044153,001510: 00,2062 12064 TCF +2
044154,001511: 00,2063 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW.
044155,001512:
044156,001513: 00,2064 34755 CAF ZERO
044157,001514: 00,2065 54156 TS MPAC +2
044158,001515: 00,2066 56154 XCH MPAC # SETTING TO ZERO SO FOLLOWING DAS WORKS.
044159,001516: 00,2067 00006 EXTEND
044160,001517: 00,2070 70135 MP MPTEMP
044161,001518: 00,2071 20155 DAS MPAC # AGAIN NO OVERFLOW.
044162,001519: 00,2072 00002 TC Q
044163,001520:
044164,001521: 00,2073 30135 VSHRRND CA MPTEMP # ENTRY TO SHIFT RIGHT AND ROUND MPAC WHEN
044165,001522: 00,2074 00006 EXTEND # MPAC CONTAINS A VECTOR COMPONENT.
044166,001523: 00,2075 70155 MP MPAC +1
044167,001524: 00,2076 54155 TS MPAC +1
044168,001525: 00,2077 56001 XCH L
044169,001526: 00,2100 12060 TCF VSHR2 # GO ADD ONE IF NECESSARY AND FINISH.
044170,001527:
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Page 1043
|
044172,001529: # ROUTINE FOR SHORT SCALAR SHIFT LEFT (AND MAYBE ROUND).
044173,001530:
044174,001531: 00,2101 30021 TSSL CA SR # GET SHIFT COUNT FOR SR.
044175,001532: 00,2102 54135 +1 TS MPTEMP
044176,001533:
044177,001534: 00,2103 00006 +2 EXTEND # ENTRY HERE FROM SL FOR SCALARS.
044178,001535: 00,2104 30156 DCA MPAC +1 # SHIFTING LEFT ONE PLACE AT A TIME IS
044179,001536: 00,2105 20156 DAS MPAC +1 # FASTER THAN DOING THE WHOLE SHIFT WITH
044180,001537: 00,2106 60154 AD MPAC # MULTIPLIES ASSUMING THAT FREQUENCY OF
044181,001538: 00,2107 60154 AD MPAC # SHIFT COUNTS GOES DOWN RAPIDLY AS A
044182,001539: 00,2110 54154 TS MPAC # FUNCTION OF THEIR MAGNITUDE.
044183,001540: 00,2111 12113 TCF +2
044184,001541: 00,2112 54121 TS OVFIND # OVERFLOW. (LEAVES OVERFLOW-CORRECTED
044185,001542: # RESULT ANYWAY).
044186,001543: 00,2113 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNT.
044187,001544: 00,2114 12102 TCF TSSL +1
044188,001545:
044189,001546: 00,2115 10020 CCS CYR # SEE IF ROUND WANTED.
044190,001547: 00,2116 07141 ROUND TC ROUNDSUB # YES - ROUND AND EXIT.
044191,001548: 00,2117 16064 TCF DANZIG # SL LEAVES A ZERO IN CYR FOR NO ROUND.
044192,001549: 00,2120 16064 TCF DANZIG # NO - EXIT IMMEDIATL
044193,001550:
|
|
Page 1044
|
044195,001552: # VECTOR SHIFTING ROUTINES.
044196,001553:
044197,001554: 00,2121 34757 SHORTV CAF LOW3 # SAVE 3 BIT SHIFT COUNT - 1 WITHOUT
044198,001555: 00,2122 70020 MASK CYR # EDITING CYR.
044199,001556: 00,2123 54135 TS MPTEMP
044200,001557: 00,2124 10020 CCS CYR # SEE IF LEFT OR RIGHT SHIFT.
044201,001558: 00,2125 12145 TCF VSSL # VECTOR SHIFT LEFT.
044202,001559: 00,2126 00176 OCT176 OCT 176 # USED IN PROCESSED SHIFTS WITH - COUNT.
044203,001560:
044204,001561: 00,2127 50135 VSSR INDEX MPTEMP # (ENTRY FROM SR). PICK UP SHIFTING BIT.
044205,001562: 00,2130 34736 CAF BIT14 # MPTEMP CONTAINS THE SHIFT COUNT - 1.
044206,001563: 00,2131 54135 TS MPTEMP
044207,001564: 00,2132 02073 TC VSHRRND # SHIFT X COMPONENT.
044208,001565:
044209,001566: 00,2133 52155 DXCH MPAC # SWAP X AND Y COMPONENTS.
044210,001567: 00,2134 52160 DXCH MPAC +3
044211,001568: 00,2135 52155 DXCH MPAC
044212,001569: 00,2136 02073 TC VSHRRND # SHIFT Y COMPONENT.
044213,001570:
044214,001571: 00,2137 52155 DXCH MPAC # SWAP Y AND Z COMPONENTS.
044215,001572: 00,2140 52162 DXCH MPAC +5
044216,001573: 00,2141 52155 DXCH MPAC
044217,001574: 00,2142 02073 TC VSHRRND # SHIFT Z COMPONENT.
044218,001575:
044219,001576: 00,2143 17423 TCF VROTATEX # RESTORE COMPONENTS TO PROPER PLACES.
044220,001577:
|
|
Page 1045
|
044222,001579: # VECTOR SHIFT LEFT - DONE ONE PLACE AT A TIME.
044223,001580:
044224,001581: 00,2144 54135 -1 TS MPTEMP # SHIFTING LOOP.
044225,001582:
044226,001583: 00,2145 00006 VSSL EXTEND
044227,001584: 00,2146 30155 DCA MPAC
044228,001585: 00,2147 20155 DAS MPAC
044229,001586: 00,2150 00006 EXTEND
044230,001587: 00,2151 12153 BZF +2
044231,001588: 00,2152 07022 TC OVERFLOW
044232,001589:
044233,001590: 00,2153 00006 EXTEND
044234,001591: 00,2154 30160 DCA MPAC +3
044235,001592: 00,2155 20160 DAS MPAC +3
044236,001593: 00,2156 00006 EXTEND
044237,001594: 00,2157 12161 BZF +2
044238,001595: 00,2160 07017 TC OVERFLWY
044239,001596:
044240,001597: 00,2161 00006 EXTEND
044241,001598: 00,2162 30162 DCA MPAC +5
044242,001599: 00,2163 20162 DAS MPAC +5
044243,001600: 00,2164 00006 EXTEND
044244,001601: 00,2165 12167 BZF +2
044245,001602: 00,2166 07014 TC OVERFLWZ
044246,001603:
044247,001604: 00,2167 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNTER.
044248,001605: 00,2170 12144 TCF VSSL -1
044249,001606: 00,2171 16064 TCF DANZIG # EXIT.
044250,001607:
|
|
Page 1046
|
044252,001609: # TSLC - TRIPLE SHIFT LEFT AND COUNT. SHIFTS MPAC LEFT UNTIL GREATER THAN .5 IN MAGNITUDE, LEAVING
044253,001610: # THE COMPLEMENT OF THE NUMBER OF SHIFTS REQUIRED IN X.
044254,001611:
044255,001612: 00,2172 54135 TSLC2 TS MPTEMP # START BY ZEROING SHIFT COUNT (IN A NOW).
044256,001613: 00,2173 06726 TC BRANCH # EXIT WITH NO SHIFTING IF ARGUMENT ZERO.
044257,001614: 00,2174 12176 TCF +2
044258,001615: 00,2175 12212 TCF ENDTSLC # STORES ZERO SHIFT COUNT IN THIS CASE.
044259,001616:
044260,001617: 00,2176 07262 TC TPAGREE # MAY CAUSE UPSHIFT OF ONE EXTRA PLACE.
044261,001618:
044262,001619: 00,2177 30154 CA MPAC # BEGIN NORMALIZATION LOOP.
044263,001620: 00,2200 12207 TCF TSLCTEST
044264,001621:
044265,001622: 00,2201 24135 TSLCLOOP INCR MPTEMP # INCREMENT SHIFT COUNTER.
044266,001623: 00,2202 00006 EXTEND
044267,001624: 00,2203 30156 DCA MPAC +1
044268,001625: 00,2204 20156 DAS MPAC +1
044269,001626: 00,2205 60154 AD MPAC
044270,001627: 00,2206 26154 ADS MPAC
044271,001628: 00,2207 60000 TSLCTEST DOUBLE # SEE IF (ANOTHER) SHIFT IS REQUIRED.
044272,001629: 00,2210 54000 OVSK
044273,001630: 00,2211 12201 TCF TSLCLOOP # YES - INCREMENT COUNT AND SHIFT AGAIN.
044274,001631:
044275,001632: 00,2212 40135 ENDTSLC CS MPTEMP
044276,001633: 00,2213 16626 TCF STORE1 # STORE SHIFT COUNT AND RETURN TO DANZIG.
044277,001634:
|
|
Page 1047
|
044279,001636: # THE FOLLOWING ROUTINES PROCESSES THE GENERAL SHIFT INSTRUCTIONS SR, SRR, SL, AND SLR.
044280,001637: # THE GIVEN ADDRESS IS DECODED AS FOLLOWS:
044281,001638: # BITS 1-7 SHIFT COUNT (SUBADDRESS) LESS THAN 125 DECIMAL.
044282,001639: # BIT 8 PSEUDO SIGN BIT (DETECTS CHANGE IN SIGN IN INDEXED SHIFTS).
044283,001640: # BIT 9 0 FOR LEFT SHIFT, AND 1 FOR RIGHT SHIFT.
044284,001641: # BIT 10 1 FOR TERMINAL ROUND ON SCALAR SHIFTS, 0 OTHERWISE.
044285,001642: # BITS 11-13 0.
044286,001643: # BIT 14 1.
044287,001644: # BIT 15 0.
044288,001645: # THE ABOVE ENCODING IS DONE BY THE YUL SYSTEM.
044289,001646:
044290,001647: 00,2214 70116 GENSHIFT MASK ADDRWD # GET SHIFT COUNT, TESTING FOR ZERO.
044291,001648: 00,2215 10000 CCS A # (ARRIVES WITH C(A) = LOW7).
044292,001649: 00,2216 12224 TCF GENSHFT2 # IF NON-ZERO, PROCEED WITH DECREMENTED CT
044293,001650:
044294,001651: 00,2217 34742 CAF BIT10 # ZERO SHIFT COUNT. NO SHIFTS NEEDED BUT
044295,001652: 00,2220 70116 MASK ADDRWD # WE MIGHT HAVE TO ROUND MPAC ON SLR AND
044296,001653: 00,2221 10000 CCS A # SRR (SCALAR ONLY).
044297,001654: 00,2222 07141 TC ROUNDSUB
044298,001655: 00,2223 16064 TCF DANZIG
044299,001656:
044300,001657: 00,2224 54135 GENSHFT2 TS MPTEMP # DECREMENTED SHIFT COUNT TO MPTEMP.
044301,001658: 00,2225 34744 CAF BIT8 # TEST MEANING OF LOW SEVEN BIT COUNT IN
044302,001659: 00,2226 00006 EXTEND # MPTEMP NOW.
044303,001660: 00,2227 70116 MP ADDRWD
044304,001661: 00,2230 76250 MASK LOW2 # JUMPS ON SHIFT DIRECTION (BIT8) AND
044305,001662: 00,2231 50000 INDEX A
044306,001663: 00,2232 12233 TCF +1 # ORIGINAL SHIFT DIRECTION (BIT 9).
044307,001664: 00,2233 12332 TCF RIGHT- # NEGATIVE SHIFT COUNT FOR SL OR SLR.
044308,001665: 00,2234 12342 TCF LEFT # SL OR SLR.
044309,001666: 00,2235 12336 TCF LEFT- # NEGATIVE SHIFT COUNT WITH SR OR SRR.
044310,001667:
|
|
Page 1048
|
044312,001669: # GENERAL SHIFT RIGHT.
044313,001670:
044314,001671: 00,2236 10163 RIGHT CCS MODE # SEE IF VECTOR OR SCALAR.
044315,001672: 00,2237 12277 TCF GENSCR
044316,001673: 00,2240 12277 TCF GENSCR
044317,001674:
044318,001675: 00,2241 30135 CA MPTEMP # SEE IF SHIFT COUNT LESS THAN 14D.
044319,001676: 00,2242 63733 VRIGHT2 AD NEG12
044320,001677: 00,2243 00006 EXTEND
044321,001678: 00,2244 62127 BZMF VSSR # IF SO, BRANCH AND SHIFT IMMEDIATELY.
044322,001679:
044323,001680: 00,2245 67752 AD NEGONE # IF NOT, REDUCE MPTEMP BY A TOTAL OF 14,
044324,001681: 00,2246 54135 TS MPTEMP # AND DO A SHIFT RIGHT AND ROUND BY 14.
044325,001682: 00,2247 34755 CAF ZERO # THE ROUND AT THIS STAGE MAY INTRODUCE A
044326,001683: 00,2250 54001 TS L # ONE BIT ERROR IN A SHIFT RIGHT 15D.
044327,001684: 00,2251 56154 XCH MPAC
044328,001685: 00,2252 56155 XCH MPAC +1
044329,001686: 00,2253 02272 TC SETROUND # X COMPONENT NOW SHIFTED, SO MAKE UP THE
044330,001687: 00,2254 20155 DAS MPAC # ROUNDING QUANTITY (0 IN A AND 0 OR +-1
044331,001688: # IN L).
044332,001689: 00,2255 56157 XCH MPAC +3 # REPEAT THE ABOVE PROCESS FOR Y AND Z.
044333,001690: 00,2256 56160 XCH MPAC +4
044334,001691: 00,2257 02272 TC SETROUND
044335,001692: 00,2260 20160 DAS MPAC +3 # NO OVERFLOW ON THESE ADDS.
044336,001693:
044337,001694: 00,2261 56161 XCH MPAC +5
044338,001695: 00,2262 56162 XCH MPAC +6
044339,001696: 00,2263 02272 TC SETROUND
044340,001697: 00,2264 20162 DAS MPAC +5
044341,001698:
044342,001699: 00,2265 10135 CCS MPTEMP # SEE IF DONE, DOING FINAL DECREMENT.
044343,001700: 00,2266 54135 TS MPTEMP
044344,001701: 00,2267 12242 TCF VRIGHT2
044345,001702: 00,2270 04604 BIASLO DEC .2974 B-1 # SQRT CONSTANT
044346,001703:
044347,001704: 00,2271 16064 TCF DANZIG
044348,001705:
044349,001706: 00,2272 60000 SETROUND DOUBLE # MAKES UP ROUNDING QUANTITY FROM ARRIVING
044350,001707: 00,2273 54156 TS MPAC +2 # C(A). L IS ZERO INITIALLY.
044351,001708: 00,2274 34755 CAF ZERO
044352,001709: 00,2275 56001 XCH L
044353,001710: 00,2276 00002 TC Q # RETURN AND DO THE DAS, RESETTING L TO 0.
044354,001711:
|
|
Page 1049
|
044356,001713: # PROCESS SR AND SRR FOR SCALARS.
044357,001714:
044358,001715: 00,2277 30135 GENSCR CA MPTEMP # SEE IF THE ORIGINAL SHIFT COUNT WAS LESS
044359,001716: 00,2300 63733 +1 AD NEG12 # THAN 14D.
044360,001717: 00,2301 00006 EXTEND
044361,001718: 00,2302 62322 BZMF DOSSHFT # DO THE SHIFT IMMEDIATELY IF SO.
044362,001719:
044363,001720: 00,2303 67752 +4 AD NEGONE # IF NOT, DECREMENT SHIFT COUNT BY 14D AND
044364,001721: 00,2304 54135 TS MPTEMP # SHIFT MPAC RIGHT 14 PLACES.
044365,001722: 00,2305 34755 CAF ZERO
044366,001723: 00,2306 56154 XCH MPAC
044367,001724: 00,2307 56155 XCH MPAC +1
044368,001725: 00,2310 54156 TS MPAC +2
044369,001726: 00,2311 10135 CCS MPTEMP # SEE IF FINISHED, DO FINAL DECREMENT.
044370,001727: 00,2312 54135 TS MPTEMP
044371,001728: 00,2313 02300 TC GENSCR +1
044372,001729: 00,2314 22650 SLOPEHI DEC .5884 # SQRT CONSTANT.
044373,001730: 00,2315 34742 CAF BIT10 # FINISHED WITH SHIFT. SEE IF ROUND
044374,001731: 00,2316 70116 MASK ADDRWD # WANTED.
044375,001732: 00,2317 10000 CCS A
044376,001733: 00,2320 07141 TC ROUNDSUB
044377,001734: 00,2321 16064 TCF DANZIG # DO SO AND/OR EXIT.
044378,001735:
044379,001736: 00,2322 50135 DOSSHFT INDEX MPTEMP # PICK UP SHIFTING BIT.
044380,001737: 00,2323 34736 CAF BIT14
044381,001738: 00,2324 54135 TS MPTEMP
044382,001739: 00,2325 34742 CAF BIT10 # SEE IF TERMINAL ROUND DESIRED.
044383,001740: 00,2326 70116 MASK ADDRWD
044384,001741: 00,2327 10000 CCS A
044385,001742: 00,2330 12031 TCF RIGHTR # YES.
044386,001743: 00,2331 12033 TCF MPACSHR # JUST SHIFT RIGHT.
044387,001744:
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|
Page 1050
|
044389,001746: # PROCESS THE RIGHT- (SL(R) WITH A NEGATIVE COUNT), LEFT-, AND LEFT OPTIONS.
044390,001747:
044391,001748: 00,2332 40135 RIGHT- CS MPTEMP # GET ABSOLUTE VALUE - 1 OF SHIFT COUNT
044392,001749: 00,2333 62126 AD OCT176 # UNDERSTANDING THAT BIT8 (PSEUDO-SIGN)
044393,001750: 00,2334 54135 TS MPTEMP # WAS 1 INITIALLY.
044394,001751: 00,2335 12236 TCF RIGHT # DO NORMAL SHIFT RIGHT.
044395,001752:
044396,001753: 00,2336 42126 LEFT- CS OCT176 # SAME PROLOGUE TO LEFT FOR INDEXED RIGHT
044397,001754: 00,2337 60135 AD MPTEMP # SHIFTS WHOSE NET SHIFT COUNT IS NEGATIVE
044398,001755: 00,2340 40000 COM
044399,001756: 00,2341 54135 TS MPTEMP
044400,001757:
044401,001758: 00,2342 10163 LEFT CCS MODE # SINCE LEFT SHIFTING IS SONE ONE PLACE AT
044402,001759: 00,2343 12346 TCF GENSCL # A TIME, NO COMPARISON WITH 14 NEED BE
044403,001760: 00,2344 12346 TCF GENSCL # DONE. FOR SCALARS, SEE IF TERMINAL ROUND
044404,001761: 00,2345 12145 TCF VSSL # DESIRED. FOR VECTORS, SHIFT IMMEDIATELY.
044405,001762:
044406,001763: 00,2346 40116 GENSCL CS ADDRWD # PUT ROUNDING BIT (BIT 10 OF ADDRWD) INTO
044407,001764: 00,2347 00006 EXTEND # BIT 15 OF CYR WHERE THE ROUNDING BIT OF
044408,001765: 00,2350 74746 MP BIT6 # A SHORT SHIFT LEFT WOULD BE
044409,001766: 00,2351 54020 TS CYR
044410,001767: 00,2352 12103 TCF TSSL +2 # DO THE SHIFT.
044411,001768:
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|
Page 1051
|
044413,001770: # SCALAR DIVISION INSTRUCTIONS, DDV AND BDDV, ARE EXECUTED HERE. AT THIS POINT, THE DIVIDEND IS IN MPAC
044414,001771: # AND THE DIVISOR IN BUF.
044415,001772:
044416,001773: 00,2353 44753 DDV/BDDV CS ONE # INITIALIZATION.
044417,001774: 00,2354 54136 TS DVSIGN # +-1 FOR POSITIVE QUOTIENT - -0 FOR NEG.
044418,001775: 00,2355 54137 TS DVNORMCT # DIVIDEND NORMALIZATION COUNT.
044419,001776: 00,2356 54140 TS MAXDVSW # NEAR-ONE DIVIDE FLAG.
044420,001777:
044421,001778: 00,2357 10130 CCS BUF # FORCE BUF POSITIVE WITH THE MAJOR PART
044422,001779: 00,2360 12516 TCF BUFPOS # NON-ZERO.
044423,001780: 00,2361 12363 TCF +2
044424,001781: 00,2362 12531 TCF BUFNEG
044425,001782:
044426,001783: 00,2363 54156 BUFZERO TS MPAC +2 # ZERO THIS.
044427,001784: 00,2364 07262 TC TPAGREE # FORCE SIGN AGREEMENT BEFORE OVERFLOW
044428,001785:
044429,001786: 00,2365 10154 CCS MPAC # TEST TO SEE IF MPAC NON-ZERO. (TOO BIG)
044430,001787: 00,2366 12414 TCF OVF+ # MAJOR PART OF DIVIDEND IS POSITIVE NON-0
044431,001788: 00,2367 12371 TCF +2
044432,001789: 00,2370 12413 TCF OVF+ -1 # MAJOR PART OF DIVIDEND IS NEG. NON-ZERO
044433,001790:
044434,001791: 00,2371 56131 XCH BUF +1 # SHIFT DIVIDEND AND DIVISOR LEFT 14.
044435,001792: 00,2372 56130 XCH BUF
044436,001793: 00,2373 56155 XCH MPAC +1
044437,001794: 00,2374 56154 XCH MPAC
044438,001795: 00,2375 10130 CCS BUF # TRY AGAIN ON FORMER MINOR PART.
044439,001796: 00,2376 12422 TCF BUF+
044440,001797: 00,2377 12401 TCF +2 # OVERFLOW ON ZERO DIVISOR.
044441,001798: 00,2400 12416 TCF BUF-
044442,001799:
044443,001800: 00,2401 40154 CS MPAC # SIGN OF MPAC DETERMINES SIGN OF RESULT.
044444,001801: 00,2402 00006 SGNDVOVF EXTEND
044445,001802: 00,2403 62405 BZMF +2
044446,001803: 00,2404 24136 INCR DVSIGN # NEGMAX IN MPAC PERHAPS.
044447,001804: 00,2405 34733 DVOVF CAF POSMAX # ON DIVISION OVERFLOW OF ANY SORT, SET
044448,001805: 00,2406 54154 TS MPAC # SET DP MPAC TO +-POSMAX.
044449,001806: 00,2407 02630 TC FINALDV +3
044450,001807: 00,2410 34753 CAF ONE # SET OVERFLOW INDICATOR AND EXIT.
044451,001808: 00,2411 54121 TS OVFIND
044452,001809: 00,2412 06064 TC DANZIG
044453,001810:
044454,001811: 00,2413 24136 -1 INCR DVSIGN
044455,001812: 00,2414 40131 OVF+ CS BUF +1 # LOAD LOWER ORDER PART OF DIVISOR.
044456,001813: 00,2415 12402 TCF SGNDVOVF # GET SIGN OF RESULT.
044457,001814:
044458,001815: 00,2416 00006 BUF- EXTEND # IF BUF IS NEGATIVE, COMPLEMENT IT AND
044459,001816: 00,2417 40131 DCS BUF # MAINTAIN DVSIGN FOR FINAL QUOTIENT SIGN.
044460,001817: 00,2420 52131 DXCH BUF
044461,001818: 00,2421 24136 INCR DVSIGN # NOW -0.
044462,001819:
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|
Page 1052
|
044464,001821: 00,2422 10154 BUF+ CCS MPAC # FORCE MPAC POSITIVE, CHECKING FOR ZERO
044465,001822: 00,2423 12437 TCF MPAC+ # DIVIDEND IN THE PROCESS.
044466,001823: 00,2424 12426 TCF +2
044467,001824: 00,2425 12433 TCF MPAC-
044468,001825: 00,2426 10155 CCS MPAC +1
044469,001826: 00,2427 12437 TCF MPAC+
044470,001827: 00,2430 16064 TCF DANZIG # EXIT IMMEDIATELY ON ZERO DIVIDEND.
044471,001828: 00,2431 12433 TCF MPAC-
044472,001829: 00,2432 16064 TCF DANZIG
044473,001830:
044474,001831: 00,2433 00006 MPAC- EXTEND # FORCE MPAC POSITIVE AS BUF IN BUF-.
044475,001832: 00,2434 40155 DCS MPAC
044476,001833: 00,2435 52155 DXCH MPAC
044477,001834: 00,2436 24136 INCR DVSIGN # NOW +1 OR -0.
044478,001835:
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|
Page 1053
|
044480,001837: 00,2437 40154 MPAC+ CS MPAC # CHECK FOR DIVISION OVERFLOW. IF THE
044481,001838: 00,2440 67752 AD NEGONE # MAJOR PART OF THE DIVIDEND IS LESS THAN
044482,001839: 00,2441 60130 AD BUF # THE MAJOR PART OF THE DIVISOR BY AT
044483,001840: 00,2442 10000 CCS A # LEAST TWO, WE CAN PROCEED IMMEDIATELY
044484,001841: 00,2443 12505 TCF DVNORM # WITHOUT NORMALIZATION PRODUCING A DVMAX.
044485,001842: 00,2444 60001 -1/2+2 OCT 60001 # USED IN SQRTSUB.
044486,001843:
044487,001844: 00,2445 12446 TCF +1 # IF THE ABOVE DOES NOT HOLD, FORCE SIGN
044488,001845: 00,2446 34736 CAF HALF # AGREEMENT IN NUMERATOR AND DENOMINATOR
044489,001846: 00,2447 60000 DOUBLE # TO FACILITATE OVERFLOW AND NEAR-ONE
044490,001847: 00,2450 60155 AD MPAC +1 # CHECKING.
044491,001848: 00,2451 54155 TS MPAC +1
044492,001849: 00,2452 34755 CAF ZERO
044493,001850: 00,2453 64733 AD POSMAX
044494,001851: 00,2454 26154 ADS MPAC
044495,001852:
044496,001853: 00,2455 34736 CAF HALF # SAME FOR BUF.
044497,001854: 00,2456 60000 DOUBLE
044498,001855: 00,2457 60131 AD BUF +1
044499,001856: 00,2460 54131 TS BUF +1
044500,001857: 00,2461 34755 CAF ZERO
044501,001858: 00,2462 64733 AD POSMAX
044502,001859: 00,2463 26130 ADS BUF
044503,001860:
044504,001861: 00,2464 40154 CS MPAC # CHECK MAGNITUDE OF SIGN-CORRECTED
044505,001862: 00,2465 60130 AD BUF # OPERANDS.
044506,001863: 00,2466 10000 CCS A
044507,001864: 00,2467 12505 TCF DVNORM # DIVIDE OK - WILL NOT BECOME MAXDV CASE.
044508,001865: 00,2470 00133 LBUF2 ADRES BUF2
044509,001866: 00,2471 12405 TCF DVOVF # DIVISOR NOT LESS THAN DIVIDEND - OVF.
044510,001867:
044511,001868: 00,2472 54140 TS MAXDVSW # IF THE MAJOR PARTS OF THE DIVIDEND AND
044512,001869: 00,2473 40155 CS MPAC +1 # DIVISOR ARE EQUAL, A SPECIAL APPROXIMA-
044513,001870: 00,2474 60131 AD BUF +1 # TION IS USED (PROVIDED THE DIVISION IS
044514,001871: 00,2475 00006 EXTEND # POSSIBLE, OF COURSE).
044515,001872: 00,2476 62405 BZMF DVOVF
044516,001873: 00,2477 12505 TCF DVNORM # IF NO OVERFLOW.
044517,001874:
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|
Page 1054
|
044519,001876: 00,2500 00006 BUFNORM EXTEND # ADD -1 TO AUGMENT SHIFT COUNT AND SHIFT
044520,001877: 00,2501 24137 AUG DVNORMCT # LEFT ONE PLACE.
044521,001878: 00,2502 00006 EXTEND
044522,001879: 00,2503 30131 DCA BUF
044523,001880: 00,2504 20131 DAS BUF
044524,001881:
044525,001882: 00,2505 30130 DVNORM CA BUF # SEE IF DIVISOR NORMALIZED YET.
044526,001883: 00,2506 60000 DOUBLE
044527,001884: 00,2507 54000 OVSK
044528,001885: 00,2510 12500 TCF BUFNORM # NO - SHIFT LEFT ONE AND TRY AGAIN.
044529,001886:
044530,001887: 00,2511 52155 DXCH MPAC # CALL DIVIDEND NORMALIZATION SEQUENCE
044531,001888: 00,2512 50137 INDEX DVNORMCT # PRIOR TO DOING THE DIVIDE.
044532,001889: 00,2513 02565 TC MAXTEST
044533,001890:
044534,001891: 00,2514 54156 TS MPAC +2 # RETURNS WITH DIVISION DONE AND C(A) = 0.
044535,001892: 00,2515 16064 TCF DANZIG
044536,001893:
044537,001894: 00,2516 10000 BUFPOS CCS A
044538,001895: 00,2517 12422 TCF BUF+ # TO BUF+ IF BUF IS GREATER THAN +1.
044539,001896:
044540,001897: 00,2520 40131 CS BUF +1 # IF BUF IS +1, FORCING SIGN AGREEMENT
044541,001898: 00,2521 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO.
044542,001899: 00,2522 62422 BZMF BUF+ # BRANCH IF SIGNS AGREE.
044543,001900:
044544,001901: 00,2523 34736 CA HALF # SIGNS DISAGREE. FORCE AGREEMENT.
044545,001902: 00,2524 60000 +6 DOUBLE
044546,001903: 00,2525 26131 ADS BUF +1
044547,001904: 00,2526 34755 CA ZERO
044548,001905: 00,2527 54130 TS BUF
044549,001906: 00,2530 12363 TCF BUFZERO
044550,001907:
044551,001908: 00,2531 10000 BUFNEG CCS A
044552,001909: 00,2532 12416 TCF BUF- # TO BUF- IF BUF IS LESS THAN -1.
044553,001910:
044554,001911: 00,2533 30131 CA BUF +1 # IF BUF IS -1, FORCING SIGN AGREEMENT
044555,001912: 00,2534 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO.
044556,001913: 00,2535 62416 BZMF BUF- # BRANCH IF SIGNS AGREE.
044557,001914:
044558,001915: 00,2536 44736 CS HALF # SIGNS DISAGREE. FORCE AGREEMENT.
044559,001916: 00,2537 12524 TCF BUFPOS +6
044560,001917:
|
|
Page 1055
|
044562,001919: # THE FOLLOWING ARE PROLOGUES TO SHIFT THE DIVIDEND ARRIVING IN A AND L BEFORE THE DIVIDE.
044563,001920:
044564,001921: 00,2540 22021 -21D LXCH SR # SPECIAL PROLOGUE FOR UNIT WHEN THE
044565,001922: 00,2541 00006 EXTEND # LENGTH OF THE ARGUMENT WAS NOT LESS THAN
044566,001923: 00,2542 74736 MP HALF # .5. IN THIS CASE, EACH COMPONENT MUST BE
044567,001924: 00,2543 56001 XCH L # SHIFTED RIGHT ONE TO PRODUCE A HALF-UNIT
044568,001925: 00,2544 60021 AD SR # VECTOR.
044569,001926: 00,2545 56001 XCH L
044570,001927: 00,2546 12571 TCF GENDDV +1 # WITH DP DIVIDEND IN A,L.
044571,001928:
044572,001929: 00,2547 20001 DDOUBL # PROLOGUE WHICH NORMALIZES THE DIVIDEND
044573,001930: 00,2550 20001 DDOUBL # WHEN IT IS KNOWN THAT NO DIVISION
044574,001931: 00,2551 20001 DDOUBL # OVERFLOW WILL OCCUR.
044575,001932: 00,2552 20001 DDOUBL
044576,001933: 00,2553 20001 DDOUBL
044577,001934: 00,2554 20001 DDOUBL
044578,001935: 00,2555 20001 DDOUBL
044579,001936: 00,2556 20001 DDOUBL
044580,001937: 00,2557 20001 DDOUBL
044581,001938: 00,2560 20001 DDOUBL
044582,001939: 00,2561 20001 DDOUBL
044583,001940: 00,2562 20001 DDOUBL
044584,001941: 00,2563 20001 DDOUBL
044585,001942: 00,2564 52155 DXCH MPAC
044586,001943:
044587,001944: 00,2565 10140 MAXTEST CCS MAXDVSW # 0 IF MAJORS MIGHT BE =, -1 OTHERWISE.
044588,001945: 00,2566 06552 BIASHI DEC .4192 B-1 # SQRT CONSTANTS
044589,001946:
044590,001947: 00,2567 12642 TCF MAXDV # CHECK TO SEE IF THEY ARE NOW EQUAL.
044591,001948:
|
|
Page 1056
|
044593,001950: # THE FOLLOWING IS A GENERAL PURPOSE DOUBLE PRECISION DIVISION ROUTINE. IT DIVIDES MPAC BY BUF AND LEAVES
044594,001951: # THE RESULT IN MPAC. THE FOLLOWING CONDITIONS MUST BE SATISFIED:
044595,001952:
044596,001953: # 1. THE DIVISOR (BUF) MUST BE POSITIVE AND NOT LESS THAN .5.
044597,001954:
044598,001955: # 2. THE DIVIDEND (MPAC) MUST BE POSITIVE WITH THE MAJOR PART OF MPAC STRICTLY LESS THAN THAT OF BUF
044599,001956: # (A SPECIAL APPROXIMATION, MAXDV, IS USED WHEN THE MAJOR PARTS ARE EQUAL).
044600,001957:
044601,001958: # UNDERSTANDING THAT A/B = Q + S(R/B) WHERE S = 2(-14) AND Q AND R ARE QUOTIENT AND REMAINDER, RESPEC-
044602,001959: # TIVELY, THE FOLLOWING APPROXIMATION IS OBTAINED BY MULTIPLYING ABOVE AND BELOW BY C - SD AND NEGLECTING TERMS OF
044603,001960: # ORDER S-SQUARED (POSSIBLY INTRODUCING ERROR INTO THE LOW TWO BITS OF THE RESULT). SIGN AGREEMENT IS UNNECESSARY.
044604,001961:
044605,001962: # A + SB . (R - QD) A + SB
044606,001963: # ------ = Q + S(------) WHERE Q AND R ARE QUOTIENT AND REMAINDER OF ------ RESPECTIVELY.
044607,001964: # C + SD ( C ) C
044608,001965:
044609,001966: 00,2570 52155 GENDDV DXCH MPAC # WE NEED A AND B ONLY FOR FIRST DV.
044610,001967: 00,2571 00006 +1 EXTEND # (SPECIAL UNIT PROLOGUE ENTERS HERE).
044611,001968: 00,2572 10130 DV BUF # A NOW CONTAINS Q AND L, R.
044612,001969: 00,2573 52155 DXCH MPAC
044613,001970:
044614,001971: 00,2574 40154 CS MPAC # FORM DIVIDEND FOR MINOR PART OF RESULT.
044615,001972: 00,2575 00006 EXTEND
044616,001973: 00,2576 70131 MP BUF +1
044617,001974: 00,2577 60155 AD MPAC +1 # OVERFLOW AT THIS POINT IS POSITIVE SINCE
044618,001975: 00,2600 54000 OVSK # R IS POSITIVE IN EVERY CASE.
044619,001976: 00,2601 12606 TCF +5
044620,001977:
044621,001978: 00,2602 00006 EXTEND # OVERFLOW CAN BE REMOVED BY SUBTRACTING C
044622,001979: 00,2603 60130 SU BUF # (BUF) ONCE SINCE R IS ALWAYS LESS THAN C
044623,001980: 00,2604 24154 INCR MPAC # IN THIS CASE. INCR COMPENSATES SUBTRACT.
044624,001981: 00,2605 12610 TCF +DOWN # (SINCE C(A) IS STILL POSITIVE).
044625,001982:
044626,001983: 00,2606 00006 +5 EXTEND # C(A) CAN BE MADE LESS THAN C IN MAGNI-
044627,001984: 00,2607 62620 BZMF -UP # TUDE BY DIMINISHING IT BY C (SINCE C IS
044628,001985: # NOT LESS THAN .5) UNLESS C(A) = 0.
044629,001986:
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|
Page 1057
|
044631,001988: 00,2610 00006 +DOWN EXTEND
044632,001989: 00,2611 60130 SU BUF # IF POSITIVE, REDUCE ONLY IF NECESSARY
044633,001990: 00,2612 00006 EXTEND # SINCE THE COMPENSATING INCR MIGHT CAUSE
044634,001991: 00,2613 12616 BZF +3 # OVERFLOW.
044635,001992: 00,2614 00006 EXTEND # DONT SUBTRACT UNLESS RESULT IS POSITIVE
044636,001993: 00,2615 62624 BZMF ENDMAXDV # OR ZERO.
044637,001994:
044638,001995: 00,2616 24154 +3 INCR MPAC # KEEP SUBTRACT HERE AND COMPENSATE.
044639,001996: 00,2617 12625 TCF FINALDV
044640,001997:
044641,001998: 00,2620 00006 -UP EXTEND # IF ZERO, SET MINOR PART OF RESULT TO
044642,001999: 00,2621 12630 BZF FINALDV +3 # ZERO.
044643,002000:
044644,002001: 00,2622 00006 EXTEND # IF NEGATIVE, ADD C TO A, SUBTRACTING ONE
044645,002002: 00,2623 26154 DIM MPAC # TO COMPENSATE. DIM IS OK HERE SINCE THE
044646,002003: 00,2624 60130 ENDMAXDV AD BUF # MAJOR PART NEVER GOES NEGATIVE.
044647,002004:
|
|
Page 1058
|
044649,002006: 00,2625 22007 FINALDV ZL # DO DV TO OBTAIN MINOR PART OF RESULT.
044650,002007: 00,2626 00006 EXTEND
044651,002008: 00,2627 10130 DV BUF
044652,002009: 00,2630 54155 +3 TS MPAC +1
044653,002010:
044654,002011: 00,2631 10136 CCS DVSIGN # LEAVE RESULT POSITIVE UNLESS C(DVSIGN)=
044655,002012: 00,2632 00002 TC Q # -0.
044656,002013: 00,2633 00002 TC Q
044657,002014: 00,2634 00002 TC Q
044658,002015:
044659,002016: 00,2635 00006 EXTEND
044660,002017: 00,2636 40155 DCS MPAC
044661,002018: 00,2637 52155 DXCH MPAC
044662,002019: 00,2640 34755 CAF ZERO # SO WE ALWAYS RETURN WITH C(A) = 0.
044663,002020: 00,2641 00002 TC Q
044664,002021:
|
|
Page 1059
|
044666,002023: # IF THE MAJOR PARTS OF THE DIVISOR AND DIVIDEND ARE EQUAL, BUT THE MINOR PARTS ARE SUCH THAT THE
044667,002024: # DIVIDEND IS STRICTLY LESS THAN THE DIVISOR IN MAGNITUDE, THE FOLLOWING APPROXIMATION IS USED. THE ASSUMPTIONS
044668,002025: # ARE THE SAME AS THE GENERAL ROUTINE WITH THE ADDITION THAT SIGN AGREEMENT IS NECESSARY (B, C, & D POSITIVE).
044669,002026:
044670,002027: # C + SB . (C + B - D)
044671,002028: # ------ = 37777 + S(---------)
044672,002029: # C + SD ( C )
044673,002030:
044674,002031: # THE DIVISION MAY BE PERFORMED IMMEDIATELY SINCE B IS STRICTLY LESS THAN D AND C IS NOT LESS THAN .5.
044675,002032:
044676,002033: 00,2642 40154 MAXDV CS MPAC # SEE IF MAXDV CASE STILL HOLDS AFTER
044677,002034: 00,2643 60130 AD BUF # NORMALIZATION.
044678,002035: 00,2644 00006 EXTEND
044679,002036: 00,2645 12647 BZF +2
044680,002037: 00,2646 12570 TCF GENDDV # MPAC NOW LESS THAN BUF - DIVIDE AS USUAL
044681,002038:
044682,002039: 00,2647 34733 +2 CAF POSMAX # SET MAJOR PART OF RESULT.
044683,002040: 00,2650 54154 TS MPAC
044684,002041:
044685,002042: 00,2651 40131 CS BUF +1 # FORM DIVIDEND OF MINOR PART OF RESULT.
044686,002043: 00,2652 60155 AD MPAC +1
044687,002044: 00,2653 12624 TCF ENDMAXDV # GO ADD C AND DO DIVIDE, ATTACHING SIGN
044688,002045: # BEFORE EXITING.
044689,002046:
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|
Page 1060
|
044691,002048: # VECTOR DIVIDED BY SCALAR, V/SC, IS EXECUTED HERE. THE VECTOR IS NOW IN MPAC WITH SCALAR IN BUF.
044692,002049:
044693,002050: 00,2654 44753 V/SC2 CS ONE # INITIALIZE DIVIDEND NORMALIZATION COUNT
044694,002051: 00,2655 54137 TS DVNORMCT # AND DIVISION SIGN REGISTER.
044695,002052: 00,2656 54127 TS VBUF +5
044696,002053:
044697,002054: 00,2657 03010 TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR
044698,002055:
044699,002056: 00,2660 52131 DXCH BUF
044700,002057: 00,2661 07547 TC ALSIGNAG # SIGN AGREE BUF
044701,002058: 00,2662 52131 DXCH BUF
044702,002059: 00,2663 10130 CCS BUF # FORCE DIVISOR POSITIVE WITH MAJOR PART
044703,002060: 00,2664 12721 TCF /BUF+ # NON-ZERO (IF POSSIBLE).
044704,002061: 00,2665 12667 TCF +2
044705,002062: 00,2666 12715 TCF /BUF-
044706,002063:
044707,002064: 00,2667 56131 XCH BUF +1 # SHIFT VECTOR AND SCALAR LEFT 14.
044708,002065: 00,2670 56130 XCH BUF
044709,002066: 00,2671 56155 XCH MPAC +1
044710,002067: 00,2672 56154 XCH MPAC
044711,002068: 00,2673 00006 EXTEND # CHECK FOR OVERFLOW IN EACH CASE.
044712,002069: 00,2674 12676 BZF +2
044713,002070: 00,2675 12405 TCF DVOVF
044714,002071:
044715,002072: 00,2676 56160 XCH MPAC +4
044716,002073: 00,2677 56157 XCH MPAC +3
044717,002074: 00,2700 00006 EXTEND
044718,002075: 00,2701 12703 BZF +2
044719,002076: 00,2702 12405 TCF DVOVF
044720,002077:
044721,002078: 00,2703 56162 XCH MPAC +6
044722,002079: 00,2704 56161 XCH MPAC +5
044723,002080: 00,2705 00006 EXTEND
044724,002081: 00,2706 12710 BZF +2
044725,002082: 00,2707 12405 TCF DVOVF
044726,002083:
044727,002084: 00,2710 10130 CCS BUF
044728,002085: 00,2711 12721 TCF /BUF+
044729,002086: 00,2712 12405 TCF DVOVF # ZERO DIVISOR - OVERFLOW.
044730,002087: 00,2713 12715 TCF /BUF-
044731,002088: 00,2714 12405 TCF DVOVF
044732,002089:
044733,002090: 00,2715 00006 /BUF- EXTEND # ON NEGATIVE, COMPLEMENT BUF AND MAINTAIN
044734,002091: 00,2716 40131 DCS BUF # DVSIGN IN VBUF +5.
044735,002092: 00,2717 52131 DXCH BUF
044736,002093: 00,2720 24127 INCR VBUF +5
044737,002094:
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|
Page 1061
|
044739,002096: 00,2721 00006 /BUF+ EXTEND
044740,002097: 00,2722 30131 DCA BUF # LEAVE ABS(ORIG DIVISOR) IN BUF2
044741,002098: 00,2723 52134 DXCH BUF2 # FOR OVERFLOW TESTING
044742,002099: 00,2724 12732 TCF /NORM # NORMALIZE DIVISOR IN BUF.
044743,002100:
044744,002101: 00,2725 00006 /NORM2 EXTEND # IF LESS THAN .5, AUGMENT DVNORMCT AND
044745,002102: 00,2726 24137 AUG DVNORMCT # DOUBLE DIVISOR.
044746,002103: 00,2727 00006 EXTEND
044747,002104: 00,2730 30131 DCA BUF
044748,002105: 00,2731 20131 DAS BUF
044749,002106:
044750,002107: 00,2732 30130 /NORM CA BUF # SEE IF DIVISOR NORMALIZED.
044751,002108: 00,2733 60000 DOUBLE
044752,002109: 00,2734 54000 OVSK
044753,002110: 00,2735 12725 TCF /NORM2 # DOUBLE AND TRY AGAIN IF NOT.
044754,002111:
044755,002112: 00,2736 02750 TC V/SCDV # DO X COMPONENT DIVIDE.
044756,002113: 00,2737 52160 DXCH MPAC +3 # SUPPLY ARGUMENTS IN USUAL SEQUENCE.
044757,002114: 00,2740 52155 DXCH MPAC
044758,002115: 00,2741 52160 DXCH MPAC +3
044759,002116:
044760,002117: 00,2742 02750 TC V/SCDV # Y COMPONENT.
044761,002118: 00,2743 52162 DXCH MPAC +5
044762,002119: 00,2744 52155 DXCH MPAC
044763,002120: 00,2745 52162 DXCH MPAC +5
044764,002121:
044765,002122: 00,2746 02750 TC V/SCDV # Z COMPONENT.
044766,002123: 00,2747 17423 TCF VROTATEX # GO RE-ARRANGE COMPONENTS BEFORE EXIT.
044767,002124:
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|
Page 1062
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044769,002126: # SUBROUTINE USED BY V/SC TO DIVIDE VECTOR COMPONENT IN MPAC,+1 BY THE SCALAR GIVEN IN BUF.
044770,002127:
044771,002128: 00,2750 30127 V/SCDV CA VBUF +5 # REFLECTS SIGN OF SCALAR.
044772,002129: 00,2751 54136 TS DVSIGN
044773,002130:
044774,002131: 00,2752 10154 CCS MPAC # FORCE MPAC POSITIVE, EXITING ON ZERO.
044775,002132: 00,2753 12767 TCF /MPAC+
044776,002133: 00,2754 12756 TCF +2
044777,002134: 00,2755 12763 TCF /MPAC-
044778,002135:
044779,002136: 00,2756 10155 CCS MPAC +1
044780,002137: 00,2757 12767 TCF /MPAC+
044781,002138: 00,2760 00002 TC Q
044782,002139: 00,2761 12763 TCF /MPAC-
044783,002140: 00,2762 00002 TC Q
044784,002141:
044785,002142: 00,2763 00006 /MPAC- EXTEND # USUAL COMPLEMENTING AND SETTING OF SIGN.
044786,002143: 00,2764 40155 DCS MPAC
044787,002144: 00,2765 52155 DXCH MPAC
044788,002145: 00,2766 24136 INCR DVSIGN
044789,002146:
044790,002147: 00,2767 44753 /MPAC+ CS ONE # INITIALIZE NEAR-ONE SWITCH.
044791,002148: 00,2770 54140 TS MAXDVSW
044792,002149:
044793,002150: 00,2771 40154 CS MPAC # CHECK POSSIBLE OVERFLOW.
044794,002151: 00,2772 60133 AD BUF2 # UNNORMALIZED INPUT DIVISOR.
044795,002152: 00,2773 10000 CCS A
044796,002153: 00,2774 13004 TCF DDVCALL # NOT NEAR-ONE
044797,002154: 00,2775 12777 TCF +2 # +0 IS JUST POSSIBLE
044798,002155: 00,2776 12405 TCF DVOVF # NO HOPE
044799,002156: 00,2777 54140 TS MAXDVSW # SIGNAL POSSIBLE NEAR-ONE CASE
044800,002157: 00,3000 40155 CS MPAC +1 # SEE IF DIVISION CAN BE DONE
044801,002158: 00,3001 60134 AD BUF2 +1
044802,002159: 00,3002 00006 EXTEND
044803,002160: 00,3003 62405 BZMF DVOVF
044804,002161:
044805,002162: 00,3004 52155 DDVCALL DXCH MPAC # CALL PRE-DIVIDE NORMALIZATION.
044806,002163: 00,3005 50137 INDEX DVNORMCT
044807,002164: 00,3006 12565 TCF MAXTEST
044808,002165:
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|
Page 1063
|
044810,002167: 00,3007 32506 SLOPELO DEC .8324
044811,002168:
044812,002169: 00,3010 56002 VECAGREE XCH Q # SAVE Q IN A
044813,002170: 00,3011 52155 DXCH MPAC
044814,002171: 00,3012 07547 TC ALSIGNAG # SIGNAGREE MPAC
044815,002172: 00,3013 52155 DXCH MPAC
044816,002173: 00,3014 52160 DXCH MPAC +3
044817,002174: 00,3015 07547 TC ALSIGNAG # SIGN AGREE MPAC +3
044818,002175: 00,3016 52160 DXCH MPAC +3
044819,002176: 00,3017 52162 DXCH MPAC +5
044820,002177: 00,3020 07547 TC ALSIGNAG # SIGNAGREE MPAC +5
044821,002178: 00,3021 52162 DXCH MPAC +5
044822,002179: 00,3022 00000 TC A
044823,002180:
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Page 1064
|
044825,002182: # THE FOLLOWING ROUTINE EXECUTES THE UNIT INSTRUCTION, WHICH TAKES THE UNIT OF THE VECTOR IN MPAC.
044826,002183:
044827,002184: 00,3023 03010 UNIT TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR
044828,002185: 00,3024 07535 TC MPACVBUF # SAVE ARGUMENT IN VBUF
044829,002186: 00,3025 34755 CAF ZERO # MUST SENSE OVERFLOW IN FOLLOWING DOT.
044830,002187: 00,3026 56121 XCH OVFIND
044831,002188: 00,3027 54141 TS TEM1
044832,002189: 00,3030 03317 TC VSQSUB # DOT MPAC WITH ITSELF.
044833,002190: 00,3031 30141 CA TEM1
044834,002191: 00,3032 56121 XCH OVFIND
044835,002192: 00,3033 00006 EXTEND
044836,002193: 00,3034 13036 BZF +2
044837,002194: 00,3035 12405 TCF DVOVF
044838,002195: 00,3036 00006 EXTEND
044839,002196: 00,3037 30155 DCA MPAC # LEAVE THE SQUARE OF THE LENGTH OF THE
044840,002197: 00,3040 50120 INDEX FIXLOC # ARGUMENT IN LVSQUARE.
044841,002198: 00,3041 52043 DXCH LVSQUARE
044842,002199:
044843,002200: 00,3042 03343 TC SQRTSUB # GO TAKE THE NORMALIZED SQUARE ROOT.
044844,002201:
044845,002202: 00,3043 10154 CCS MPAC # CHECK FOR UNIT OVERFLOW.
044846,002203: 00,3044 13051 TCF +5 # MPAC IS NOT LESS THAN .5 UNLESS
044847,002204: 00,3045 54001 TS L
044848,002205: 00,3046 50120 INDEX FIXLOC
044849,002206: 00,3047 52045 DXCH LV
044850,002207: 00,3050 12405 TCF DVOVF # INPUT TO SQRTSUB WAS 0.
044851,002208:
044852,002209: 00,3051 44317 CS FOURTEEN # SEE IF THE INPUT WAS SO SMALL THE THE
044853,002210: 00,3052 60135 AD MPTEMP # FIRST TWO REGISTERS OF THE SQUARE WERE 0
044854,002211: 00,3053 10000 CCS A
044855,002212: 00,3054 40000 COM # IF SO, SAVE THE NEGATIVE OF THE SHIFT
044856,002213: 00,3055 13133 TCF SMALL # COUNT -15D.
044857,002214:
044858,002215: 00,3056 13065 TCF LARGE # (THIS IS USUALLY THE CASE.)
044859,002216:
044860,002217: 00,3057 44761 CS THIRTEEN # IF THE SHIFT COUNT WAS EXACTLY 14, SET
044861,002218: 00,3060 54135 TS MPTEMP # THE PRE-DIVIDE NORM COUNT TO -13D.
044862,002219:
044863,002220: 00,3061 30154 CA MPAC # SHIFT THE LENGTH RIGHT 14 BEFORE STORING
044864,002221: 00,3062 54001 SMALL2 TS L # (SMALL EXITS TO THIS POINT).
044865,002222: 00,3063 34755 CAF ZERO
044866,002223: 00,3064 13112 TCF LARGE2 # GO TO STORE LENGTH AND PROCEED.
044867,002224:
044868,002225: 00,3065 10135 LARGE CCS MPTEMP # MOST ALL CASES COME HERE.
044869,002226: 00,3066 13074 TCF LARGE3 # SEE IF NO NORMALIZATION WAS REQUIRED BY
044870,002227: 00,3067 42024 CS SRDDV # SQRT, AND IF SO, SET UP FOR A SHIFT
044871,002228: 00,3070 54135 TS MPTEMP # RIGHT 1 BEFORE DIVIDING TO PRODUCE
044872,002229: 00,3071 00006 EXTEND # THE DESIRED HALF UNIT VECTOR.
044873,002230: 00,3072 30155 DCA MPAC
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Page 1065
|
044875,002232: 00,3073 13112 TCF LARGE2
044876,002233:
|
|
Page 1066
|
044878,002235: 00,3074 40000 LARGE3 COM # LEAVE NEGATIVE OF SHIFT COUNT-1 FOR
044879,002236: 00,3075 54135 TS MPTEMP # PREDIVIDE LEFT SHIFT.
044880,002237:
044881,002238: 00,3076 40000 COM # PICK UP REQUIRED SHIFTING BIT TO UNNORM-
044882,002239: 00,3077 50000 INDEX A # ALIZE THE SQRT RESULT.
044883,002240: 00,3100 34736 CAF BIT14
044884,002241: 00,3101 54130 TS BUF
044885,002242: 00,3102 00006 EXTEND
044886,002243: 00,3103 70155 MP MPAC +1
044887,002244: 00,3104 56130 XCH BUF
044888,002245: 00,3105 00006 EXTEND # (UNNORMALIZE THE SQRT FOR LV).
044889,002246: 00,3106 70154 MP MPAC
044890,002247: 00,3107 56001 XCH L
044891,002248: 00,3110 60130 AD BUF
044892,002249: 00,3111 56001 XCH L
044893,002250:
044894,002251: 00,3112 50120 LARGE2 INDEX FIXLOC
044895,002252: 00,3113 52045 DXCH LV # LENGTH NOW STORED IN WORK AREA.
044896,002253:
044897,002254: 00,3114 44753 CS ONE
044898,002255: 00,3115 54140 TS MAXDVSW # NO MAXDV CASES IN UNIT.
044899,002256:
044900,002257: 00,3116 52123 DXCH VBUF # PREPARE X COMPONENT FOR DIVIDE, SETTING
044901,002258: 00,3117 52155 DXCH MPAC # LENGTH OF VECTOR AS DIVISOR IN BUF.
044902,002259: 00,3120 52131 DXCH BUF
044903,002260: 00,3121 03151 TC UNITDV
044904,002261:
044905,002262: 00,3122 52125 DXCH VBUF +2 # DO Y AND Z IN USUAL FASHION SO WE CAN
044906,002263: 00,3123 52155 DXCH MPAC # EXIT THROUGH VROTATEX.
044907,002264: 00,3124 52160 DXCH MPAC +3
044908,002265: 00,3125 03151 TC UNITDV
044909,002266:
044910,002267: 00,3126 52127 DXCH VBUF +4
044911,002268: 00,3127 52155 DXCH MPAC
044912,002269: 00,3130 52162 DXCH MPAC +5
044913,002270: 00,3131 03151 TC UNITDV
044914,002271: 00,3132 17423 TCF VROTATEX # AND EXIT.
044915,002272:
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Page 1067
|
044917,002274: # IF THE LENGTH OF THE ARGUMENT VECTOR WAS LESS THAN 2(-28), EACH COMPONENT MUST BE SHIFTED LEFT AT LEAST
044918,002275: # 14 PLACES BEFORE THE DIVIDE. NOTE THAT IN THIS CASE, THE MAJOR PART OF EACH COMPONENT IS ZERO.
044919,002276:
044920,002277: 00,3133 54135 SMALL TS MPTEMP # NEGATIVE OF PRE-DIVIDE SHIFT COUNT.
044921,002278:
044922,002279: 00,3134 34755 CAF ZERO # SHIFT EACH COMPONENT LEFT 14.
044923,002280: 00,3135 56123 XCH VBUF +1
044924,002281: 00,3136 56122 XCH VBUF
044925,002282: 00,3137 56125 XCH VBUF +3
044926,002283: 00,3140 56124 XCH VBUF +2
044927,002284: 00,3141 56127 XCH VBUF +5
044928,002285: 00,3142 56126 XCH VBUF +4
044929,002286:
044930,002287: 00,3143 40135 CS MPTEMP
044931,002288: 00,3144 50000 INDEX A
044932,002289: 00,3145 34736 CAF BIT14
044933,002290: 00,3146 00006 EXTEND
044934,002291: 00,3147 70154 MP MPAC
044935,002292: 00,3150 13062 TCF SMALL2
044936,002293:
044937,002294: 00,3151 4761 THIRTEEN = OCT15
044938,002295: 00,3151 4317 FOURTEEN = OCT16
044939,002296: 00,3151 4317 OCT16 = R1D1
044940,002297:
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|
Page 1068
|
044942,002299: # THE FOLLOWING ROUTINE SETS UP THE CALL TO THE DIVIDE ROUTINES.
044943,002300:
044944,002301: 00,3151 10154 UNITDV CCS MPAC # FORCE MPAC POSITIVE IF POSSIBLE, SETTING
044945,002302: 00,3152 13170 TCF UMPAC+ # DVSIGN ACCORDING TO THE SIGN OF MPAC
044946,002303: 00,3153 13155 TCF +2 # SINCE THE DIVISOR IS ALWAYS POSITIVE
044947,002304: 00,3154 13162 TCF UMPAC- # HERE.
044948,002305:
044949,002306: 00,3155 10155 CCS MPAC +1
044950,002307: 00,3156 13170 TCF UMPAC+
044951,002308: 00,3157 00002 TC Q # EXIT IMMEDIATELY ON ZERO.
044952,002309: 00,3160 13162 TCF UMPAC-
044953,002310: 00,3161 00002 TC Q
044954,002311:
044955,002312: 00,3162 44755 UMPAC- CS ZERO # IF NEGATIVE, SET -0 IN DVSIGN FOR FINAL
044956,002313: 00,3163 54136 TS DVSIGN # COMPLEMENT.
044957,002314: 00,3164 00006 EXTEND
044958,002315: 00,3165 40155 DCS MPAC # PICK UP ABSOLUTE VALUE OF ARG AND JUMP.
044959,002316: 00,3166 50135 INDEX MPTEMP
044960,002317: 00,3167 12564 TCF MAXTEST -1
044961,002318:
044962,002319: 00,3170 54136 UMPAC+ TS DVSIGN # SET DVSIGN FOR POSITIVE QUOTIENT.
044963,002320: 00,3171 52155 DXCH MPAC
044964,002321: 00,3172 50135 INDEX MPTEMP
044965,002322: 00,3173 12564 TCF MAXTEST -1
044966,002323:
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|
Page 1069
|
044968,002325: # MISCELLANEOUS UNARY OPERATIONS.
044969,002326:
044970,002327: 00,3174 03300 DSQ TC DSQSUB # SQUARE THE DP CONTENTS OF MPAC.
044971,002328: 00,3175 16064 TCF DANZIG
044972,002329:
044973,002330: 00,3176 10163 ABVALABS CCS MODE # ABVAL OR ABS INSTRUCTION.
044974,002331: 00,3177 13226 TCF ABS # DO ABS ON SCALAR.
044975,002332: 00,3200 13226 TCF ABS
044976,002333:
044977,002334: 00,3201 03317 ABVAL TC VSQSUB # DOT MPAC WITH ITSELF.
044978,002335: 00,3202 22163 LXCH MODE # MODE IS NOW DP (L ZERO AFTER DAS).
044979,002336:
044980,002337: 00,3203 00006 EXTEND # STORE SQUARE OF LENGTH IN WORK AREA.
044981,002338: 00,3204 30155 DCA MPAC
044982,002339: 00,3205 50120 INDEX FIXLOC
044983,002340: 00,3206 52043 DXCH LVSQUARE
044984,002341:
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|
Page 1070
|
044986,002343: # PROGRAM DESCRIPTION - SUBROUTINE SQRT
044987,002344:
044988,002345: # FUNCTIONAL DESCRIPTION - DOUBLE PRECISION SQUARE ROOT ROUTINE
044989,002346: # THIS PROGRAM TAKES THE SQUARE ROOT OF THE 27 OR 28 MOST SIGNIFICANT BITS IN THE TRIPLE PRECISION SET OF
044990,002347: # NUMBERS - MPAC, MPAC+1, AND MPAC+2. THE ROOT IS RETURNED DOUBLE PRECISION IN MPAC AND MPAC+1.
044991,002348:
044992,002349: # WARNING - THIS SUBROUTINE USES A TRIPLE PRECISION INPUT. THE PROGRAMMER MUST ASSURE THE CONTENTS OF MPAC+2
044993,002350: # ESPECIALLY IF THE CONTENTS OF MPAC IS SMALL OR ZERO. FOR DETAILS SEE STG MEMO NO.949.
044994,002351:
044995,002352: # CALLING SEQUENCE - IN INTERPRETIVE MODE I.E., FOLLOWING TC INTPRET,SQRT NO ADDRESS IS ALLOWED
044996,002353: # INPUT SCALING THE BINARY POINT IS ASSUMED TO THE RIGHT OF BIT 15. THE ANSWER IS RETURNED WITH THE SAME SCALING
044997,002354:
044998,002355: # SUBROUTINES - GENSCR, MPACSHR, SQRTSUB, ABORT
044999,002356:
045000,002357: # ABORT EXIT MODE - ABORTS ON NEGATIVE INPUT -1.2X10E-4 (77775 OCTAL) OR LESS.
045001,002358: # DISPLAYS ERROR CODE 1302
045002,002359: # TC ABORT
045003,002360: # OCT 1302
045004,002361:
045005,002362: # DEBRIS - LOCATIONS BUF, MPTEMP, ADDRWD ARE USED
045006,002363:
045007,002364: 00,3207 03343 SQRT TC SQRTSUB # TAKE THE SQUARE ROOT OF MPAC.
045008,002365: 00,3210 10135 CCS MPTEMP # RETURNED NORMALIZED SQUARE ROOT. SEE IF
045009,002366: 00,3211 13213 TCF +2 # ANY UN-NORMALIZATION REQUIRED AND EXIT
045010,002367: 00,3212 16064 TCF DANZIG # IF NOT.
045011,002368:
045012,002369: 00,3213 63733 AD NEG12 # A RIGHT SHIFT OF MORE THAN 13 COULD BE
045013,002370: 00,3214 00006 EXTEND # REQUIRED IF INPUT WAS ZERO IN MPAC,+1.
045014,002371: 00,3215 63221 BZMF SQRTSHFT # GOES HERE IN MOST CASES.
045015,002372: 00,3216 22007 ZL # IF A LONG SHIFT IS REQUIRED, GO TO
045016,002373: 00,3217 22116 LXCH ADDRWD # GENERAL RIGHT SHIFT ROUTINES.
045017,002374: 00,3220 12303 TCF GENSCR +4 # ADDRWD WAS ZERO TO PREVENT ROUND.
045018,002375:
045019,002376: 00,3221 50135 SQRTSHFT INDEX MPTEMP # SELECT SHIFTING BIT AND EXIT THROUGH
045020,002377: 00,3222 34735 CAF BIT15 # SHIFT ROUTINES.
045021,002378: 00,3223 54135 TS MPTEMP
045022,002379: 00,3224 34755 CAF ZERO # TO ZERO MPAC +2 IN THE PROCESS.
045023,002380: 00,3225 12036 TCF MPACSHR +3
045024,002381:
045025,002382: 00,3226 06726 ABS TC BRANCH # TEST SIGN OF MPAC AND COMPLEMENT IF
045026,002383: 00,3227 16064 TCF DANZIG
045027,002384: 00,3230 16064 TCF DANZIG
045028,002385: 00,3231 17673 TCF COMP
045029,002386:
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|
Page 1071
|
045031,002388: 00,3232 44751 VDEF CS FOUR # VECTOR DEFINE - ESSENTIALLY TREATS
045032,002389: 00,3233 26166 ADS PUSHLOC # SCALAR IN MPAC AS X COMPONENT, PUSHES UP
045033,002390: 00,3234 00006 EXTEND # FOR Y AND THEN AGAIN FOR Z.
045034,002391: 00,3235 50000 INDEX A
045035,002392: 00,3236 30003 DCA 2
045036,002393: 00,3237 52160 DXCH MPAC +3
045037,002394: 00,3240 00006 EXTEND
045038,002395: 00,3241 50166 INDEX PUSHLOC
045039,002396: 00,3242 30001 DCA 0
045040,002397: 00,3243 52162 DXCH MPAC +5
045041,002398: 00,3244 16524 TCF VMODE # MODE IS NON VECTOR.
045042,002399:
045043,002400: 00,3245 03317 VSQ TC VSQSUB # DOT MPAC WITH ITSELF.
045044,002401: 00,3246 17335 TCF DMODE # MODE IS NOW DP.
045045,002402:
045046,002403: 00,3247 00006 PUSH EXTEND # PUSH DOWN MPAC LEAVING IT LOADED.
045047,002404: 00,3250 30155 DCA MPAC
045048,002405: 00,3251 50166 INDEX PUSHLOC # PUSH DOWN FIRST TWO REGISTERS IN EACH
045049,002406: 00,3252 52001 DXCH 0
045050,002407:
045051,002408: 00,3253 50163 INDEX MODE # INCREMENT PUSHDOWN POINTER.
045052,002409: 00,3254 36247 CAF NO.WDS
045053,002410: 00,3255 26166 ADS PUSHLOC
045054,002411:
045055,002412: 00,3256 10163 CCS MODE
045056,002413: 00,3257 13272 TCF TPUSH # PUSH DOWN MPAC +2.
045057,002414: 00,3260 16064 TCF DANZIG # DONE FOR DP.
045058,002415:
045059,002416: 00,3261 00006 EXTEND # ON VECTOR, PUSH DOWN Y AND Z COMPONENTS.
045060,002417: 00,3262 30160 DCA MPAC +3
045061,002418: 00,3263 50166 INDEX PUSHLOC
045062,002419: 00,3264 51775 DXCH 0 -4
045063,002420: 00,3265 00006 EXTEND
045064,002421: 00,3266 30162 DCA MPAC +5
045065,002422: 00,3267 50166 INDEX PUSHLOC
045066,002423: 00,3270 51777 DXCH 0 -2
045067,002424: 00,3271 16064 TCF DANZIG
045068,002425:
045069,002426: 00,3272 30156 TPUSH CA MPAC +2
045070,002427: 00,3273 16557 TCF ENDTPUSH +2
045071,002428:
045072,002429: 00,3274 50120 RVQ INDEX FIXLOC # RVQ - RETURN IVA QPRET.
045073,002430: 00,3275 30052 CA QPRET
045074,002431: 00,3276 54117 TS POLISH
045075,002432: 00,3277 16655 TCF GOTO +4 # (ASSUME QPRET POINTS TO FIXED ONLY.)
045076,002433:
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|
Page 1072
|
045078,002435: # THE FOLLOWING SUBROUTINES ARE USED IN SQUARING MPAC, IN BOTH THE SCALAR AND VECTOR SENSE. THEY ARE
045079,002436: # SPECIAL CASES OF DMPSUB AND DOTSUB, PUT IN TO SAVE SOME TIME.
045080,002437:
045081,002438: 00,3300 30155 DSQSUB CA MPAC +1 # SQUARES THE SCALAR CONTENTS OF MPAC.
045082,002439: 00,3301 00006 EXTEND
045083,002440: 00,3302 70000 SQUARE
045084,002441: 00,3303 54156 TS MPAC +2
045085,002442: 00,3304 34755 CAF ZERO # FORM 2(CROSS TERM).
045086,002443: 00,3305 56155 XCH MPAC +1
045087,002444: 00,3306 00006 EXTEND
045088,002445: 00,3307 70154 MP MPAC
045089,002446: 00,3310 20001 DDOUBL # AND MAYBE OVERFLOW.
045090,002447: 00,3311 20156 DAS MPAC +1 # AND SET A TO NET OVERFLOW.
045091,002448: 00,3312 56154 XCH MPAC
045092,002449: 00,3313 00006 EXTEND
045093,002450: 00,3314 70000 SQUARE
045094,002451: 00,3315 20155 DAS MPAC
045095,002452: 00,3316 00002 TC Q
045096,002453:
045097,002454: 00,3317 00006 VSQSUB EXTEND # DOTS THE VECTOR IN MPAC WITH ITSELF.
045098,002455: 00,3320 22137 QXCH DOTRET
045099,002456: 00,3321 03300 TC DSQSUB # SQUARE THE X COMPONENT.
045100,002457: 00,3322 52160 DXCH MPAC +3
045101,002458: 00,3323 52155 DXCH MPAC
045102,002459: 00,3324 52131 DXCH BUF # SO WE CAN END IN DOTSUB.
045103,002460: 00,3325 30156 CA MPAC +2
045104,002461: 00,3326 54132 TS BUF +2
045105,002462:
045106,002463: 00,3327 03300 TC DSQSUB # SQUARE Y COMPONENT.
045107,002464: 00,3330 52156 DXCH MPAC +1
045108,002465: 00,3331 20132 DAS BUF +1
045109,002466: 00,3332 60154 AD MPAC
045110,002467: 00,3333 60130 AD BUF
045111,002468: 00,3334 54130 TS BUF
045112,002469: 00,3335 13337 TCF +2
045113,002470: 00,3336 54121 TS OVFIND # IF OVERFLOW.
045114,002471:
045115,002472: 00,3337 52162 DXCH MPAC +5
045116,002473: 00,3340 52155 DXCH MPAC
045117,002474: 00,3341 03300 TC DSQSUB # SQUARE Z COMPONENT.
045118,002475: 00,3342 17210 TCF ENDDOT # END AS IN DOTSUB.
045119,002476:
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|
Page 1073
|
045121,002478: # DOUBLE PRECISION SQUARE ROOT ROUTINE. TAKE THE SQUARE ROOT OF THE TRIPLE PRECISION (MPAC +2 USED ONLY
045122,002479: # IN NORMALIZATION) CONTENTS OF MPAC AND LEAVE THE NORMALIZED RESULT IN MPAC (C(MPAC) GREATER THAN OR EQUAL TO
045123,002480: # .5). THE RIGHT SHIFT COUNT (TO UNNORMALIZE) IS LEFT IN MPTEMP.
045124,002481:
045125,002482: 00,3343 34755 SQRTSUB CAF ZERO # START BY ZEROING RIGHT SHIFT COUNT.
045126,002483: 00,3344 54135 TS MPTEMP
045127,002484:
045128,002485: 00,3345 10154 CCS MPAC # CHECK FOR POSITIVE ARGUMENT, SHIFTING
045129,002486: 00,3346 13405 TCF SMPAC+ # FIRST SIGNIFICANT MPAC REGISTER INTO
045130,002487: 00,3347 13351 TCF +2 # MPAC ITSELF.
045131,002488: 00,3350 13373 TCF SQRTNEG # SEE IF MAG OF ARGUMENT LESS THAN 10(-4).
045132,002489:
045133,002490: 00,3351 56156 XCH MPAC +2 # MPAC IS ZERO - SHIFT LEFT 14.
045134,002491: 00,3352 56155 XCH MPAC +1
045135,002492: 00,3353 54154 TS MPAC
045136,002493: 00,3354 34757 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER.
045137,002494: 00,3355 54135 TS MPTEMP
045138,002495:
045139,002496: 00,3356 10154 CCS MPAC # SEE IF MPAC NOW PNZ.
045140,002497: 00,3357 13405 TCF SMPAC+
045141,002498: 00,3360 13362 TCF +2
045142,002499: 00,3361 13376 TCF ZEROANS # NEGATIVE BUT LESS THAN 10(-4) IN MAG.
045143,002500:
045144,002501: 00,3362 56155 XCH MPAC +1 # ZERO - SHIFT LEFT 14 AGAIN.
045145,002502: 00,3363 54154 TS MPAC
045146,002503: 00,3364 34757 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER.
045147,002504: 00,3365 26135 ADS MPTEMP
045148,002505:
045149,002506: 00,3366 10154 CCS MPAC
045150,002507: 00,3367 13405 TCF SMPAC+
045151,002508: 00,3370 00002 TC Q # SQRT(0) = 0.
045152,002509: 00,3371 13376 TCF ZEROANS
045153,002510: 00,3372 13453 TCF FIXROOT # DO NOT LEAVE SQRTSUB WITH -0 IN MPAC.
045154,002511:
045155,002512: 00,3373 10000 SQRTNEG CCS A # ARGUMENT IS NEGATIVE, BUT SEE IF SIGN-
045156,002513: 00,3374 13402 TCF SQRTABRT # CORRECTED ARGUMENT IS LESS THAN 10(-4)
045157,002514:
045158,002515: 00,3375 10155 CCS MPAC +1 # IN MAGNITUDE. IF SO, CALL ANSWER ZERO.
045159,002516: 00,3376 34755 ZEROANS CAF ZERO # FORCE ANSWER TO ZERO HERE.
045160,002517: 00,3377 13453 TCF FIXROOT
045161,002518: 00,3400 13402 TCF SQRTABRT
045162,002519: 00,3401 13453 TCF FIXROOT
045163,002520:
045164,002521: 00,3402 52165 SQRTABRT DXCH LOC
045165,002522: 00,3403 05716 TC POODOO1
045166,002523: 00,3404 21302 OCT 21302
045167,002524:
045168,002525: 00,3405 62444 SMPAC+ AD -1/2+2 # SEE IF ARGUMENT GREATER THAN OR EQUAL TO
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|
Page 1074
|
045170,002527: 00,3406 00006 EXTEND # .5.
045171,002528: 00,3407 63456 BZMF SRTEST # IF SO, SEE IF LESS THAN .25.
045172,002529:
045173,002530: 00,3410 52155 DXCH MPAC # WE WILL TAKE THE SQUARE ROOT OF MPAC/2.
045174,002531: 00,3411 22021 LXCH SR # SHIFT RIGHT 1 AND GO TO THE SQRT ROUTINE
045175,002532: 00,3412 00006 EXTEND
045176,002533: 00,3413 74736 MP HALF
045177,002534: 00,3414 52155 DXCH MPAC
045178,002535: 00,3415 56021 XCH SR
045179,002536: 00,3416 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW.
045180,002537:
045181,002538: 00,3417 32314 ARGHI CAF SLOPEHI # ARGUMENT BETWEEN .25 AND .5. GET A
045182,002539: 00,3420 00006 EXTEND # LINEAR APPROXIMATION FOR THIS RANGE.
045183,002540: 00,3421 70154 MP MPAC
045184,002541: 00,3422 62566 AD BIASHI # X0/2 = (MPAC/2)(SLOPEHI) + BIASHI/2.
045185,002542:
045186,002543: 00,3423 54130 +4 TS BUF # X0/2 (ARGLO ENTERS HERE).
045187,002544: 00,3424 30154 CA MPAC # SINGLE-PRECISION THROUGHOUT.
045188,002545: 00,3425 22007 ZL
045189,002546: 00,3426 00006 EXTEND
045190,002547: 00,3427 10130 DV BUF # (MPAC/2)/(X0/2)
045191,002548: 00,3430 00006 EXTEND
045192,002549: 00,3431 74736 MP HALF
045193,002550: 00,3432 26130 ADS BUF # X1 = X0/2 + .5(MPAC/2)/(X0/2).
045194,002551:
045195,002552: 00,3433 00006 EXTEND
045196,002553: 00,3434 74736 MP HALF # FORM UP X1/2.
045197,002554: 00,3435 52155 DXCH MPAC # SAVE AND BRING OUT ARGUMENT.
045198,002555: 00,3436 00006 EXTEND # TAKE DP QUOTIENT WITH X1.
045199,002556: 00,3437 10130 DV BUF
045200,002557: 00,3440 54131 TS BUF +1 # SAVE MAJOR PART OF QUOTIENT.
045201,002558: 00,3441 34755 CAF ZERO # FORM MINOR PART OF QUOTIENT USING
045202,002559: 00,3442 56001 XCH L # (REMAINDER,0).
045203,002560: 00,3443 00006 EXTEND
045204,002561: 00,3444 10130 DV BUF
045205,002562: 00,3445 54001 TS L # IN PREPARATION FOR DAS.
045206,002563: 00,3446 30131 CA BUF +1
045207,002564: 00,3447 20155 DAS MPAC # X2 = X1/2 + (MPAC/2)X1
045208,002565:
045209,002566: 00,3450 00006 EXTEND # OVERFLOWS IF ARG. NEAR POSMAX.
045210,002567: 00,3451 13455 BZF TCQBNK00
045211,002568: 00,3452 34733 CAF POSMAX
045212,002569: 00,3453 54154 FIXROOT TS MPAC
045213,002570: 00,3454 54155 TS MPAC +1
045214,002571: 00,3455 00002 TCQBNK00 TC Q # RETURN TO CALLER TO UNNORMALIZE, ETC.
045215,002572:
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|
Page 1075
|
045217,002574: 00,3456 64737 SRTEST AD QUARTER # ARGUMENT WAS LESS THAN .5, SEE IF LESS
045218,002575: 00,3457 00006 EXTEND # THAN .25.
045219,002576: 00,3460 63502 BZMF SQRTNORM # IF SO, BEGIN NORMALIZATION.
045220,002577:
045221,002578: 00,3461 52155 DXCH MPAC # IF BETWEEN .5 AND .25, SHIFT RIGHT 1 AND
045222,002579: 00,3462 22021 LXCH SR # START AT ARGLO.
045223,002580: 00,3463 00006 EXTEND
045224,002581: 00,3464 74736 MP HALF
045225,002582: 00,3465 52155 DXCH MPAC
045226,002583: 00,3466 56021 XCH SR
045227,002584: 00,3467 26155 ADS MPAC +1 # NO OVERFLOW.
045228,002585:
045229,002586: 00,3470 33007 ARGLO CAF SLOPELO # (NORMALIZED) ARGUMENT BETWEEN .125 AND
045230,002587: 00,3471 00006 EXTEND # .25
045231,002588: 00,3472 70154 MP MPAC
045232,002589: 00,3473 62270 AD BIASLO
045233,002590: 00,3474 13423 TCF ARGHI +4 # BEGIN SQUARE ROOT.
045234,002591:
045235,002592: 00,3475 00006 SQRTNM2 EXTEND # SHIFT LEFT 2 AND INCREMENT RIGHT SHIFT
045236,002593: 00,3476 30156 DCA MPAC +1 # COUNT (FOR TERMINAL UNNORMALIZATION).
045237,002594: 00,3477 20156 DAS MPAC +1
045238,002595: 00,3500 60154 AD MPAC
045239,002596: 00,3501 26154 ADS MPAC # (NO OVERFLOW).
045240,002597:
045241,002598: 00,3502 24135 SQRTNORM INCR MPTEMP # FIRST TIME THROUGH, JUST SHIFT LEFT 1
045242,002599: 00,3503 00006 EXTEND # (PUTS IN EFFECTIVE RIGHT SHIFT SINCE
045243,002600: 00,3504 30156 DCA MPAC +1 # WE WANT MPAC/2).
045244,002601: 00,3505 20156 DAS MPAC +1
045245,002602: 00,3506 60154 AD MPAC
045246,002603: 00,3507 26154 ADS MPAC # (AGAIN NO OVERFLOW).
045247,002604: 00,3510 60000 DOUBLE
045248,002605: 00,3511 54022 TS CYL
045249,002606:
045250,002607: 00,3512 10022 NORMTEST CCS CYL # SEE IF ARGUMENT NOW NORMALIZED AT
045251,002608: 00,3513 10022 CCS CYL # GREATER THAN .125.
045252,002609: 00,3514 13475 TCF SQRTNM2 # NO - SHIFT LEFT 2 MORE AND TRY AGAIN.
045253,002610: 00,3515 13417 TCF ARGHI # YES - NOW BETWEEN .5 AND .25.
045254,002611: 00,3516 13470 TCF ARGLO # ARGUMENT NOW BETWEEN .25 AND .125.
045255,002612:
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|
Page 1076
|
045257,002614: # TRIGONOMETRIC FUNCTION PACKAGE.
045258,002615: # THE FOLLOWING TRIGONOMETRIC FUNCTIONS ARE AVAILABLE AS INTERPRETIVE OPERATIONS:
045259,002616: # 1. SIN COMPUTES (1/2)SINE(2 PI MPAC).
045260,002617: # 2. COS COMPUTES (1/2)COSINE(2 PI MPAC).
045261,002618: # 3. ASIN COMPUTES (1/2PI)ARCSINE(2 MPAC).
045262,002619: # 4. ACOS COMPUTES (1/2PI)ARCCOSINE(2 MPAC).
045263,002620:
045264,002621: # SIN-ASIN AND COS-ACOS ARE MUTUALLY INVERSE, IE SIN(ASIN(X)) = X.
045265,002622:
045266,002623: 00,3517 06726 COSINE TC BRANCH # FINDS COSINE USING THE IDENTITY
045267,002624: 00,3520 13523 TCF +3 # COS(X) = SIN(PI/2 - ABS(X)).
045268,002625: 00,3521 13526 TCF PRESINE
045269,002626: 00,3522 13526 TCF PRESINE
045270,002627:
045271,002628: 00,3523 00006 +3 EXTEND
045272,002629: 00,3524 40155 DCS MPAC
045273,002630: 00,3525 52155 DXCH MPAC
045274,002631:
045275,002632: 00,3526 34737 PRESINE CAF QUARTER # PI/2 SCALED.
045276,002633: 00,3527 26154 ADS MPAC
045277,002634:
045278,002635: 00,3530 52155 SINE DXCH MPAC # DOUBLE ARGUMENT.
045279,002636: 00,3531 20001 DDOUBL
045280,002637: 00,3532 54000 OVSK # SEE IF OVERFLOW PRESENT.
045281,002638: 00,3533 13536 TCF +3 # IF NOT, ARGUMENT OK AS IS.
045282,002639:
045283,002640: 00,3534 00006 EXTEND # IF SO, WE LOST (OR GAINED) PI, SO
045284,002641: 00,3535 40001 DCOM # COMPLEMENT MPAC USING THE IDENTITY
045285,002642: # SIN(X-(+)PI) = SIN(-X).
045286,002643: 00,3536 52155 +3 DXCH MPAC
045287,002644: 00,3537 30154 CA MPAC # SEE IF ARGUMENT GREATER THAN .5 IN
045288,002645: 00,3540 60000 DOUBLE # MAGNITUDE. IF SO, REDUCE IT TO LESS THAN
045289,002646: 00,3541 54001 TS L # .5 (+-PI/2 SCALED) AS FOLLOWS:
045290,002647: 00,3542 13553 TCF SN1
045291,002648:
045292,002649: 00,3543 50000 INDEX A # IF POSITIVE, FORM PI - X, IF NEGATIVE
045293,002650: 00,3544 34735 CAF NEG1/2 +1 # USE -PI -X.
045294,002651: 00,3545 60000 DOUBLE
045295,002652: 00,3546 00006 EXTEND
045296,002653: 00,3547 60154 SU MPAC # GUARANTEED NO OVERFLOW.
045297,002654: 00,3550 54154 TS MPAC
045298,002655: 00,3551 40155 CS MPAC +1
045299,002656: 00,3552 54155 TS MPAC +1
045300,002657:
|
|
Page 1077
|
045302,002659: 00,3553 00006 SN1 EXTEND # SET UP TO EVALUATE HASTINGS POLYNOMIAL
045303,002660: 00,3554 30155 DCA MPAC
045304,002661: 00,3555 52134 DXCH BUF2
045305,002662: 00,3556 03300 TC DSQSUB # SQUARE MPAC.
045306,002663:
045307,002664: 00,3557 07225 TC POLY # EVALUATE FOURTH ORDER POLYNOMIAL.
045308,002665: 00,3560 00003 DEC 3 B-14
045309,002666: 00,3561 14441 37325 2DEC +.3926990796
045310,002667: 00,3563 53250 60764 2DEC -.6459637111
045311,002668: 00,3565 12146 21276 2DEC +.318758717
045312,002669: 00,3567 75466 71471 2DEC -.074780249
045313,002670: 00,3571 00236 32757 2DEC +.009694988
045314,002671:
045315,002672: 00,3573 32470 CAF LBUF2 # MULTIPLY BY ARGUMENT AND SHIFT LEFT 2.
045316,002673: 00,3574 07111 TC DMPSUB -1
045317,002674:
045318,002675: 00,3575 00006 EXTEND
045319,002676: 00,3576 30156 DCA MPAC +1
045320,002677: 00,3577 20156 DAS MPAC +1
045321,002678: 00,3600 60154 AD MPAC
045322,002679: 00,3601 26154 ADS MPAC # NEITHER SHIFT OVERFLOWS.
045323,002680: 00,3602 00006 EXTEND
045324,002681: 00,3603 30156 DCA MPAC +1
045325,002682: 00,3604 20156 DAS MPAC +1
045326,002683: 00,3605 60154 AD MPAC
045327,002684: 00,3606 26154 ADS MPAC
045328,002685: 00,3607 16064 TCF DANZIG
045329,002686:
|
|
Page 1078
|
045331,002688: # ARCSIN/ARCCOS ROUTINE.
045332,002689:
045333,002690: 00,3610 33631 ARCSIN CAF LASINEX # COMPUTE ARCSIN BY USING THE IDENTITY
045334,002691: 00,3611 13613 TCF +2 # ARCSIN(X) = PI/2 - ARCCOS(X).
045335,002692:
045336,002693: 00,3612 33713 ARCCOS CAF LDANZIG # (EXITS IMMEDIATELY).
045337,002694: 00,3613 54136 TS ESCAPE
045338,002695: 00,3614 06726 TC BRANCH # TEST SIGN OF INPUT.
045339,002696: 00,3615 13625 TCF ACOSST # START IMMEDIATELY IF POSITIVE.
045340,002697: 00,3616 13731 TCF ACOSZERO # ARCCOS(0) = PI/2 = .25.
045341,002698: 00,3617 00006 EXTEND # IF NEGATIVE, USE THE IDENTITY
045342,002699: 00,3620 40155 DCS MPAC # ARCCOS(X) = PI - ARCCOS(-X), FORCING
045343,002700: 00,3621 52155 DXCH MPAC # ARGUMENT POSITIVE.
045344,002701: 00,3622 33734 CAF TCSUBTR # SET EXIT TO DO ABOVE BEFORE
045345,002702: 00,3623 56136 XCH ESCAPE # ARCSIN/ARCCOS CONSIDERATIONS.
045346,002703: 00,3624 54137 TS ESCAPE2
045347,002704:
045348,002705: 00,3625 44736 ACOSST CS HALF # TEST MAGNITUDE OF INPUT.
045349,002706: 00,3626 60154 AD MPAC
045350,002707: 00,3627 10000 CCS A
045351,002708: 00,3630 13721 TCF ACOSOVF # THIS IS PROBABLY AN OVERFLOW CASE.
045352,002709:
045353,002710: 00,3631 13707 LASINEX TCF ASINEX
045354,002711:
045355,002712: 00,3632 13642 TCF ACOSST2 # NO OVERFLOW - PROCEED.
045356,002713:
045357,002714: 00,3633 10155 CCS MPAC +1 # IF MAJOR PART IS .5, CALL ANSWER 0
045358,002715: 00,3634 34755 CAF ZERO # UNLESS MINOR PART NEGATIVE.
045359,002716: 00,3635 13637 TCF ACOS=0
045360,002717:
045361,002718: 00,3636 13642 TCF ACOSST2
045362,002719:
045363,002720: 00,3637 54155 ACOS=0 TS MPAC +1
045364,002721: 00,3640 54154 TS MPAC
045365,002722: 00,3641 00136 TC ESCAPE
045366,002723:
045367,002724: 00,3642 00006 ACOSST2 EXTEND # NOW THAT ARGUMENT IS IN PROPER RANGE,
045368,002725: 00,3643 40155 DCS MPAC # BEGIN COMPUTATION. USE HASTINGS
045369,002726: 00,3644 64736 AD HALF # APPROXIMATION ARCCOS(X) = SQRT(1-X)P(X)
045370,002727: 00,3645 52155 DXCH MPAC # IN A SCALED VERSION WHERE P(X) IS A
045371,002728: 00,3646 52134 DXCH BUF2 # SEVENTH ORDER POLYNOMIAL.
045372,002729:
045373,002730: 00,3647 03343 TC SQRTSUB # RETURNS WITH NORMALIZED SQUARE ROOT.
045374,002731:
045375,002732: 00,3650 10135 CCS MPTEMP # SEE IF UN-NORMALIZATION REQUIRED.
045376,002733: 00,3651 13714 TCF ACOSSHR # IF SO.
045377,002734:
|
|
Page 1079
|
045379,002736: 00,3652 52155 ACOS3 DXCH MPAC # SET UP FOR POLYNOMIAL EVALUATION.
045380,002737: 00,3653 52134 DXCH BUF2
045381,002738: 00,3654 52155 DXCH MPAC
045382,002739:
045383,002740: 00,3655 07225 TC POLY
045384,002741: 00,3656 00006 DEC 6 B-14
045385,002742: 00,3657 13240 23630 2DEC +.353553385 # COEFFICIENTS ARE C 2(+I)/PISQRT(2) WHERE
045386,002743: 00,3661 74721 47775 2DEC* -.0483017006 B+1* # I
045387,002744: 00,3663 02440 20237 2DEC* +.0200273085 B+2* # WHERE C STANDS FOR ORIGINAL COEFFS.
045388,002745: 00,3665 75067 70742 2DEC* -.0112931863 B+3*
045389,002746: 00,3667 03436 26756 2DEC* +.00695311612 B+4*
045390,002747: 00,3671 74037 57640 2DEC* -.00384617957 B+5*
045391,002748: 00,3673 03046 07143 2DEC* +.001501297736 B+6*
045392,002749: 00,3675 76654 42244 2DEC* -.000284160334 B+7*
045393,002750:
045394,002751: 00,3677 32470 CAF LBUF2 # DO FINAL MULTIPLY AND GO TO ANY
045395,002752: 00,3700 07111 TC DMPSUB -1 # EPILOGUE SEQUENCES.
045396,002753: 00,3701 00136 TC ESCAPE
045397,002754:
045398,002755: 00,3702 00006 SUBTR EXTEND # EPILOGUE FOR NEGATIVE INPUTS TO ARCCOS.
045399,002756: 00,3703 40155 DCS MPAC
045400,002757: 00,3704 64736 AD HALF # FORMS PI - ARCCOS(-X) = ARCCOS(X).
045401,002758: 00,3705 52155 DXCH MPAC
045402,002759: 00,3706 00137 TC ESCAPE2 # GO TO POSSIBLE ARCSIN EPILOGUE.
045403,002760:
045404,002761: 00,3707 00006 ASINEX EXTEND
045405,002762: 00,3710 40155 DCS MPAC # ARCSIN EPILOGUE - GET ARCSIN(X)
045406,002763: 00,3711 64737 AD QUARTER # = PI/2 - ARCCOS(X).
045407,002764: 00,3712 52155 DXCH MPAC
045408,002765: 00,3713 16064 LDANZIG TCF DANZIG
045409,002766:
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|
Page 1080
|
045411,002768: 00,3714 50000 ACOSSHR INDEX A # THE SHIFT RIGHT IS LESS THAN 14 SINCE
045412,002769: 00,3715 34736 CAF BIT14 # THE INPUT WAS NON-ZERO DP.
045413,002770: 00,3716 54135 TS MPTEMP
045414,002771: 00,3717 02073 TC VSHRRND # DP SHIFT RIGHT AND ROUND.
045415,002772: 00,3720 13652 TCF ACOS3 # PROCEED.
045416,002773:
045417,002774: 00,3721 00006 ACOSOVF EXTEND # IF MAJOR PART WAS ONLY 1 MORE THAN .5,
045418,002775: 00,3722 13637 BZF ACOS=0 # CALL ANSWER ZERO.
045419,002776:
045420,002777: 00,3723 00006 ACOSABRT EXTEND # IF OVERFLOW, CALL ANSWER ZERO BUT
045421,002778: 00,3724 30165 DCA LOC # SOUND AN ALARM.
045422,002779: 00,3725 05722 TC ALARM1
045423,002780: 00,3726 01301 OCT 1301
045424,002781:
045425,002782: 00,3727 34755 CAF ZERO
045426,002783: 00,3730 13637 TCF ACOS=0
045427,002784:
045428,002785: 00,3731 34737 ACOSZERO CAF QUARTER # ACOS(0) = PI/2.
045429,002786: 00,3732 13640 TCF ACOS=0 +1 # SET MPAC AND EXIT VIA ESCAPE.
045430,002787:
045431,002788: 00,3733 77763 NEG12 DEC -12 B-14
045432,002789: 00,3734 13702 TCSUBTR TCF SUBTR
045433,002790:
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|
Page 1081
|
045435,002792: # THE FOLLOWING INSTRUCTIONS ARE AVAILABLE FOR SETTING, MODIFYING, AND BRANCHING ON INDEX REGISTERS:
045436,002793: # 1. AXT ADDRESS TO INDEX TRUE.
045437,002794: # 1. AXC ADDRESS TO INDEX COMPLEMENTED.
045438,002795: # 3. LXA LOAD INDEX FROM ERASABLE.
045439,002796: # 4. LXC LOAD INDEX COMPLEMENTED FROM ERASABLE.
045440,002797: # 5. SXA STORE INDEX IN ERASABLE.
045441,002798: # 6. XCHX EXCHANGE INDEX REIGSTER WITH ERASABLE.
045442,002799:
045443,002800: # 7. INCR INCREMENT INDEX REGISTER.
045444,002801: # 8. XAD ERASABLE ADD TO INDEX REGISTER.
045445,002802: # 9. XSU ERASABLE SUBTRACT FROM INDEX REGISTER.
045446,002803: # 10. TIX BRANCH ON INDEX REGISTER AND DECREMENT.
045447,002804:
045448,002805: 01,2345 BANK 01
045449,002806:
045450,002807: 01,2345 COUNT* $$/INTER
045451,002808: 01,2345 02442 AXT TC TAGSUB # SELECT APPROPRIATE INDEX REGISTER.
045452,002809: 01,2346 30117 CA POLISH
045453,002810: 01,2347 50130 XSTORE INDEX INDEXLOC # CONTAINS C(FIXLOC) OR C(FIXLOC)+1.
045454,002811: 01,2350 54046 TS X1
045455,002812: 01,2351 16064 TCF DANZIG
045456,002813:
045457,002814: 01,2352 02442 AXC TC TAGSUB
045458,002815: 01,2353 40117 CS POLISH
045459,002816: 01,2354 02347 TC XSTORE
045460,002817:
045461,002818: 01,2355 02430 LXA TC 15ADRERS # LOAD INDEX REGISTER FROM ERASABLE.
045462,002819: 01,2356 50117 INDEX POLISH
045463,002820: 01,2357 30000 CA 0
045464,002821: 01,2360 12347 TCF XSTORE
045465,002822:
045466,002823: 01,2361 02430 LXC TC 15ADRERS # LOAD NDX REG FROM ERASABLE COMPLEMENTED.
045467,002824: 01,2362 50117 INDEX POLISH
045468,002825: 01,2363 40000 CS 0
045469,002826: 01,2364 12347 TCF XSTORE
045470,002827:
045471,002828: 01,2365 02430 SXA TC 15ADRERS # STORE INDEX REGISTER IN ERASABLE.
045472,002829: 01,2366 50130 INDEX INDEXLOC
045473,002830: 01,2367 30046 CA X1
045474,002831: 01,2370 50117 MSTORE1 INDEX POLISH
045475,002832: 01,2371 54000 TS 0
045476,002833: 01,2372 16064 TCF DANZIG
045477,002834:
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|
Page 1082
|
045479,002836: 01,2373 02430 XCHX TC 15ADRERS # EXCHANGE INDEX REGISTER WITH ERASABLE.
045480,002837: 01,2374 50117 INDEX POLISH
045481,002838: 01,2375 30000 CA 0
045482,002839: 01,2376 50130 INDEX INDEXLOC
045483,002840: 01,2377 56046 XCH X1
045484,002841: 01,2400 12370 TCF MSTORE1
045485,002842:
045486,002843: 01,2401 02430 XAD TC 15ADRERS # ADD ERASABLE TO INDEX REGISTER.
045487,002844: 01,2402 50117 INDEX POLISH
045488,002845: 01,2403 30000 CA 0
045489,002846: 01,2404 50130 XAD2 INDEX INDEXLOC
045490,002847: 01,2405 26046 ADS X1 # IGNORING OVERFLOWS.
045491,002848: 01,2406 16064 TCF DANZIG
045492,002849:
045493,002850: 01,2407 02442 INCR TC TAGSUB # INCREMENT INDEX REGISTER.
045494,002851: 01,2410 30117 CA POLISH
045495,002852: 01,2411 12404 TCF XAD2
045496,002853:
045497,002854: 01,2412 02430 XSU TC 15ADRERS # SUBTRACT ERASABLE FROM INDEX REGISTER.
045498,002855: 01,2413 50117 INDEX POLISH
045499,002856: 01,2414 40000 CS 0
045500,002857: 01,2415 12404 TCF XAD2
045501,002858:
045502,002859: 01,2416 02442 TIX TC TAGSUB # BRANCH AND DECREMENT ON INDEX.
045503,002860: 01,2417 50130 INDEX INDEXLOC
045504,002861: 01,2420 40050 CS S1
045505,002862: 01,2421 50130 INDEX INDEXLOC
045506,002863: 01,2422 60046 AD X1
045507,002864: 01,2423 00006 EXTEND # NO OPERATION IF DECREMENTED INDEX IS
045508,002865: 01,2424 66064 BZMF DANZIG # NEGATIVE OR ZERO.
045509,002866:
045510,002867: 01,2425 50130 DOTIXBR INDEX INDEXLOC
045511,002868: 01,2426 56046 XCH X1 # IGNORING OVERFLOWS.
045512,002869:
045513,002870: 01,2427 16651 TCF GOTO # DO THE BRANCH USING THE CADR IN POLISH.
045514,002871:
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|
Page 1083
|
045516,002873: # SUBROUTINE TO CONVERT AN ERASABLE ADDRESS (11 BITS) TO AN EBANK SETTING AND SUBADDRESS.
045517,002874:
045518,002875: 01,2430 40117 15ADRERS CS POLISH
045519,002876: 01,2431 64772 AD DEC45
045520,002877: 01,2432 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA?
045521,002878: 01,2433 30120 CA FIXLOC # YES. ADD FIXLOC. EBANK OK AS IS.
045522,002879: 01,2434 12441 TCF +5
045523,002880:
045524,002881: 01,2435 35007 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS.
045525,002882: 01,2436 56117 XCH POLISH
045526,002883: 01,2437 54003 TS EBANK
045527,002884: 01,2440 74357 MASK LOW8
045528,002885: 01,2441 26117 +5 ADS POLISH # FALL INTO TAGSUB, AND RETURN VIA Q.
045529,002886:
045530,002887: # SUBROUTINE WHICH SETS THE ADDRESS OF THE SPECIFIED INDEX IN INDEXLOC. (ACTUALLY, THE ADDRESS -38D.)
045531,002888:
045532,002889: 01,2442 30120 TAGSUB CA FIXLOC
045533,002890: 01,2443 54130 TS INDEXLOC
045534,002891:
045535,002892: 01,2444 10020 CCS CYR # BIT 15 SPECIFIES INDEX.
045536,002893: 01,2445 24130 INCR INDEXLOC # 0 MEANS USE X2.
045537,002894: 01,2446 00002 TC Q
045538,002895: 01,2447 00002 TC Q # 1 FOR X1.
045539,002896:
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|
Page 1084
|
045541,002898: # MISCELLANEOUS OPERATION CODES WITH DIRECT ADDRESSES. INCLUDED HERE ARE:
045542,002899: # 1. ITA STORE QPRET (RETURN ADDRESS) IN ERASABLE.
045543,002900: # 2. CALL CALL A SUBROUTINE, LEAVING RETURN IN QPRET.
045544,002901: # 3. RTB RETURN TO BASIC LANGUAGE AT THE GIVEN ADDRESS.
045545,002902: # 4. BHIZ BRANCH IF THE HIGHORDER OF MPAC IS ZERO (SINGLE PRECISION).
045546,002903: # 5. BOV BRANCH ON OVERFLOW.
045547,002904: # 6. GOTO SIMPLE SEQUENCE CHANGE.
045548,002905:
045549,002906: 01,2450 10020 RTB/BHIZ CCS CYR
045550,002907: 01,2451 30117 RTB CA POLISH
045551,002908: 01,2452 04621 TC SWCALL -1 # SO A "TC Q" FROM ROUTINE LEADS TO DANZIG
045552,002909:
045553,002910: 01,2453 10154 BHIZ CCS MPAC
045554,002911: 01,2454 16064 TCF DANZIG
045555,002912: 01,2455 16651 TCF GOTO
045556,002913: 01,2456 16064 TCF DANZIG
045557,002914: 01,2457 16651 TCF GOTO
045558,002915:
045559,002916: 01,2460 10121 BOV(B) CCS OVFIND # BRANCH ON OVERFLOW TO BASIC OR INTERP.
045560,002917: 01,2461 12463 TCF +2
045561,002918: 01,2462 16064 TCF DANZIG
045562,002919: 01,2463 54121 TS OVFIND
045563,002920: 01,2464 10020 CCS CYR
045564,002921: 01,2465 12451 TCF RTB # IF BASIC.
045565,002922: 01,2466 00360 B5TOB8 OCT 360
045566,002923: 01,2467 16651 TCF GOTO
045567,002924:
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|
Page 1085
|
045569,002926: 01,2470 10020 BZE/GOTO CCS CYR # SEE WHICH OP-CODE IS DESIRED.
045570,002927: 01,2471 06726 TC BRANCH # DO BZE.
045571,002928: 01,2472 16064 TCF DANZIG
045572,002929: 01,2473 16651 TCF GOTO # DO GOTO.
045573,002930: 01,2474 16064 TCF DANZIG
045574,002931:
045575,002932: 01,2475 10020 BPL/BMN CCS CYR
045576,002933: 01,2476 12504 TCF BPL
045577,002934: 01,2477 12000 5B10 DEC 5 B+10 # SHIFTS OP CODE IN SWITCH INSTRUCTION ADR
045578,002935:
045579,002936: 01,2500 06726 TC BRANCH # DO BMN.
045580,002937: 01,2501 16064 TCF DANZIG
045581,002938: 01,2502 16064 TCF DANZIG
045582,002939: 01,2503 16651 TCF GOTO # ONLY IF NNZ.
045583,002940:
045584,002941: 01,2504 06726 BPL TC BRANCH
045585,002942: 01,2505 16651 TCF GOTO # IF POSITIVE OR ZERO.
045586,002943: 01,2506 16651 TCF GOTO
045587,002944: 01,2507 16064 TCF DANZIG
045588,002945:
045589,002946: 01,2510 10020 CALL/ITA CCS CYR
045590,002947: 01,2511 16643 TCF CALL
045591,002948:
045592,002949: 01,2512 05675 TC CCSHOLE
045593,002950: 01,2513 02430 TC 15ADRERS # STORE QPRET. (TAGSUB AFTER 15ADRERS IS
045594,002951: 01,2514 50120 INDEX FIXLOC # SLOW IN THIS CASE, BUT SAVES STORAGE.)
045595,002952: 01,2515 30052 CA QPRET
045596,002953: 01,2516 12370 TCF MSTORE1
045597,002954:
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|
Page 1086
|
045599,002956: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR ALTERING AND TESTING INTERPRETIVE SWITCHES:
045600,002957: # 00 BONSET SET A SWITCH AND DO A GOTO IF IT WAS ON.
045601,002958: # 01 SETGO SET A SWITCH AND DO A GOTO.
045602,002959: # 02 BOFSET SET A SWITCH AND DOA GOTO IF IT WAS OFF
045603,002960: # 03 SET SET A SWITCH.
045604,002961: # 04 BONINV INVERT A SWITCH AND BRANCH IF IT WAS ON.
045605,002962: # 05 INVGO INVERT A SWITCH AND DO A GOTO.
045606,002963: # 06 BOFINV INVERT A SWITCH AND BRANCH IF IT WAS OFF
045607,002964: # 07 INVERT INVERT A SWITCH.
045608,002965: # 10 BONCLR CLEAR A SWITCH AND BRANCH IF IT WAS ON.
045609,002966: # 11 CLRGO CLEAR A SWITCH AND DO A GOTO.
045610,002967: # 12 BOFCLR CLEAR A SWITCH AND BRANCH IF IT WAS OFF.
045611,002968: # 13 CLEAR CLEAR A SWITCH.
045612,002969: # 14 BON BRANCH IF A SWITCH WAS ON.
045613,002970: # 16 BOFF BRANCH IF A SWITCH WAS OFF.
045614,002971: # THE ADDRESS SUPPLIED WITH THE SWITCH INSTRUCTION IS INTERPRETED AS FOLLOWS:
045615,002972: # BITS 1-4 SWITCH BIT NUMBER (1-15).
045616,002973: # BITS 5-8 SWITCH OPERATION NUMBER.
045617,002974: # BITS 9- SWITCH WORD NUMBER (UP TO 64 SWITCH WORDS).
045618,002975: # THE ADDRESS ITSELF IS MADE UP BY THE YUL SYSTEM ASSEMBLER. THE BRANCH INSTRUCTIONS REQUIRE TWO
045619,002976: # ADDRESSES, THE SECOND TAKEN AS THE DIRECT (OR INDIRECT IF IN ERASABLE) ADDRESS OF THE BRANCH.
045620,002977:
045621,002978: 01,2517 34762 SWITCHES CAF LOW4 # LEAVE THE SWITCH BIT IN SWBIT.
045622,002979: 01,2520 70117 MASK POLISH
045623,002980: 01,2521 50000 INDEX A
045624,002981: 01,2522 34735 CAF BIT15 # (NUMBER FROM LEFT TO RIGHT.)
045625,002982: 01,2523 54131 TS SWBIT
045626,002983:
045627,002984: 01,2524 34745 CAF BIT7 # LEAVE THE SWITCH NUMBER IN SWWORD.
045628,002985: 01,2525 00006 EXTEND
045629,002986: 01,2526 70117 MP POLISH
045630,002987: 01,2527 54130 TS SWWORD
045631,002988:
045632,002989: 01,2530 00004 INHINT # DURING SWITCH CHANGE SO RUPT CAN USE TOO
045633,002990: 01,2531 50000 INDEX A # LEAVE THE SWITCH WORD ITSELF IN L.
045634,002991: 01,2532 30074 CA STATE
045635,002992: 01,2533 54002 TS Q # Q WILL BE USED AS A CHANNEL.
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|
Page 1087
|
045637,002994: 01,2534 34741 CAF BIT11
045638,002995: 01,2535 00006 EXTEND # DISPATCH SWITCH BIT OPERATION AS IN BITS
045639,002996: 01,2536 70117 MP POLISH # 7-8 OF POLISH.
045640,002997: 01,2537 72577 MASK B3TOB4 # GETS 4X2-BIT CODE.
045641,002998: 01,2540 50000 INDEX A
045642,002999: 01,2541 12542 TCF +1
045643,003000:
045644,003001: 01,2542 30131 +1 CA SWBIT # 00 - SET SWITCH IN QUESTION.
045645,003002: 01,2543 00006 EXTEND
045646,003003: 01,2544 04002 ROR QCHAN
045647,003004: 01,2545 12554 TCF SWSTORE
045648,003005:
045649,003006: 01,2546 30131 +5 CA SWBIT # 01 - INVERT SWITCH.
045650,003007: 01,2547 00006 EXTEND
045651,003008: 01,2550 06002 RXOR QCHAN
045652,003009: 01,2551 12554 TCF SWSTORE
045653,003010:
045654,003011: 01,2552 40131 +9D CS SWBIT # 10 - CLEAR.
045655,003012: 01,2553 70002 MASK Q
045656,003013: 01,2554 50130 SWSTORE INDEX SWWORD
045657,003014: 01,2555 54074 TS STATE # NEW SWITCH WORD.
045658,003015:
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|
Page 1088
|
045660,003017: 01,2556 00003 +13D RELINT # 11 - NOOP.
045661,003018: 01,2557 34737 CAF BIT13
045662,003019: 01,2560 00006 EXTEND # DISPATCH SEQUCE CHANGING OR BRANCHING
045663,003020: 01,2561 70117 MP POLISH # CODE.
045664,003021: 01,2562 72577 MASK B3TOB4
045665,003022: 01,2563 50000 INDEX A
045666,003023: 01,2564 12565 TCF +1 # ORIGINALLY STORED IN BITS 5-6.
045667,003024:
045668,003025: 01,2565 40002 +1 CS Q # 00 - BRANCH IF ON.
045669,003026: 01,2566 70131 TEST MASK SWBIT
045670,003027: 01,2567 10000 CCS A
045671,003028: 01,2570 12600 TCF SWSKIP
045672,003029:
045673,003030: 01,2571 16720 +5 TCF SWBRANCH # 01 - GO TO.
045674,003031:
045675,003032: 01,2572 12600 TCF SWSKIP # HERE ONLY ON BIT 15.
045676,003033:
045677,003034: 01,2573 05675 TC CCSHOLE
045678,003035: 01,2574 05675 TC CCSHOLE
045679,003036:
045680,003037: 01,2575 30002 +9D CA Q # 10 - BRANCH IF OFF.
045681,003038: 01,2576 12566 TCF TEST
045682,003039:
045683,003040: 01,2577 00014 B3TOB4 OCT 0014
045684,003041: 01,2600 24164 SWSKIP INCR LOC
045685,003042:
045686,003043: 01,2601 01,2517 SW/ EQUALS SWITCHES
045687,003044:
045688,003045: 01,2601 16064 +13D TCF DANZIG # 11 - NOOP.
045689,003046:
End of include-file INTERPRETER.agc. Parent file is MAIN.agc