Source Code
|
These source-code files are part of a reconstructed copy of Luminary 97, the
original release of the Apollo 11 Lunar Module (LM) Apollo Guidance Computer
(AGC) software.
The reconstruction began with source code of Luminary 99 revision 1 previously
transcribed from a digitized copy of that program. The code was then updated
by undoing changes described in original Luminary memos 83 and 85, using asterisks
indicating changed lines in the listing as a guide. The reconstruction was
verified by matching memory-bank checksums to those listed in drawing 2021152D.
Note that page numbers in the reconstructed code match those on the Luminary 099
revision 001 printout, although the added code would likely have changed page
numbers for a real Luminary 97 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.
|
042874,000002: ## Copyright: Public domain.
042875,000003: ## Filename: INTERPRETER.agc
042876,000004: ## Purpose: A section of Luminary revision 97.
042877,000005: ## It is part of the reconstructed source code for the
042878,000006: ## original release of the flight software for the Lunar
042879,000007: ## Module's (LM) Apollo Guidance Computer (AGC) for Apollo 11.
042880,000008: ## The code has been recreated from a copy of Luminary 99
042881,000009: ## revision 001, using asterisks indicating changed lines in
042882,000010: ## the listing and Luminary Memos #83 and #85, which list
042883,000011: ## changes between Luminary 97 and 98, and 98 and 99. The
042884,000012: ## code has been adapted such that the resulting bugger words
042885,000013: ## exactly match those specified for Luminary 97 in NASA drawing
042886,000014: ## 2021152D, which gives relatively high confidence that the
042887,000015: ## reconstruction is correct.
042888,000016: ## Reference: pp. 1002-1094
042889,000017: ## Assembler: yaYUL
042890,000018: ## Contact: Ron Burkey <info@sandroid.org>.
042891,000019: ## Website: www.ibiblio.org/apollo/index.html
042892,000020: ## Mod history: 2019-07-28 MAS Created from Luminary 99.
042893,000021:
|
|
Page 1002
|
042895,000023: # SECTION 1 DISPATCHER
042896,000024:
042897,000025: # ENTRY TO THE INTERPRETER. INTPRET SETS LOC TO THE FIRST INSTRUCTION, BANKSET TO THE BBANK OF THE
042898,000026: # OBJECT INTERPRETIVE PROGRAM, AND INTBIT15 TO THE BIT15 CONTENTS OF FBANK. INTERPRETIVE PROGRAMS MAY BE IN
042899,000027: # VIRTUALLY ALL BANKS PRESENT UNDER ANY SUPER-BANK SETTING, WITH THE RESTRICTION THAT PROGRAMS IN HIGH BANKS
042900,000028: # (BIT15 OF FBANK = 1) DO NOT REFER TO LOWBANKS, AND VICE-VERSA. THE INTERPRETER DOES NOT SWITCH SUPERBANKS.
042901,000029: # E-BANK SWITCHING OCCURS WHENEVER GENERAL ERASABLE (100-3777) IS ADDRESSED.
042902,000030:
042903,000031: 6037 BLOCK 03
042904,000032:
042905,000033: 6037 COUNT* $$/INTER
042906,000034: 6037 00003 INTPRET RELINT
042907,000035: 6040 00006 EXTEND # SET LOC TO THE WORD FOLLOWING THE TC.
042908,000036: 6041 22164 QXCH LOC
042909,000037:
042910,000038: 6042 30006 +2 CA BBANK # INTERPRETIVE BRANCHES FINISH HERE.
042911,000039: 6043 54165 TS BANKSET
042912,000040: 6044 74735 MASK BIT15 # GET 15TH BIT FOR INDEXABLE ADDRESSES.
042913,000041: 6045 54115 TS INTBIT15
042914,000042:
042915,000043: 6046 54023 TS EDOP # MAKE SURE NO INSTRUCTIONS LEFT OVER
042916,000044:
042917,000045: 6047 16070 TCF NEWOPS # PICK UP OP CODE PAIR AND BEGIN.
042918,000046:
042919,000047: 6050 22006 INTRSM LXCH BBANK # RESUME SUSPENDED INTERPRETIVE JOB
042920,000048: 6051 16042 TCF INTPRET +3
042921,000049:
042922,000050: # DLOAD LOADS MPAC, MPAC +1, LEAVING ZERO IN MPAC +2.
042923,000051:
042924,000052: 6052 00006 DLOAD EXTEND
042925,000053: 6053 50116 INDEX ADDRWD
042926,000054: 6054 30001 DCA 0 # LOAD DP C(C(ADDRWD)) INTO MPAC,MPAX +1
042927,000055: 6055 52155 SLOAD2 DXCH MPAC
042928,000056: 6056 34755 CAF ZERO # ZERO MPAC +2
042929,000057:
|
|
Page 1003
|
042931,000059: # AT THE END OF MOST INSTRUCTIONS, CONTROL IS GIVEN TO DANZIG TO DISPATCH THE NEXT OPERATION.
042932,000060:
042933,000061: 6057 54156 TS MPAC +2 # AND DECLARE DP MODE
042934,000062:
042935,000063: 6060 54163 NEWMODE TS MODE # PROLOGUE FOR MODE-CHANGING INSTRUCTIONS.
042936,000064:
042937,000065: 6061 30165 DANZIG CA BANKSET # SET BBANK BEFORE TESTING NEWJOB SO THAT
042938,000066: 6062 54006 TS BBANK # IT MAY BE SAVED DIRECTLY BY CHANJOB.
042939,000067:
042940,000068: 6063 10023 NOIBNKSW CCS EDOP # SEE IF AN ORDER CODE IS LEFT OVER FROM
042941,000069: 6064 16077 TCF OPJUMP # THE LAST PAIR RETRIEVED. IF SO, EXECUTE.
042942,000070: # EDOP IS SET TO ZERO ON ITS RE-EDITING.
042943,000071:
042944,000072: 6065 10067 CCS NEWJOB # SEE IF A JOB OF HIGHER PRIORITY IS
042945,000073: 6066 15126 TCF CHANG2 # PRESENT, AND IF SO, CHANGE JOBS.
042946,000074:
042947,000075: 6067 24164 INCR LOC # ADVANCE THE LOCATION COUNTER.
042948,000076:
042949,000077: # ITRACE (1) REFERS TO "NEWOPS".
042950,000078: 6070 50164 NEWOPS INDEX LOC # ENTRY TO BEGIN BY PICKING OP CODE PAIR.
042951,000079: 6071 30000 CA 0 # MAY BE AN OPCODE PAIR OR A STORE CODE.
042952,000080: 6072 10000 CCS A # TEST SIGN AND GET DABS(A).
042953,000081: 6073 16362 TCF DOSTORE # PROCESS STORE CODE.
042954,000082:
042955,000083: 6074 00177 LOW7 OCT 177
042956,000084:
042957,000085: 6075 54023 TS EDOP # OP CODE PAIR. LEAVE THE OTHER IN EDOP
042958,000086: 6076 76074 MASK LOW7 # WHERE CCS EDOP WILL HONOR IT NEXT.
042959,000087:
042960,000088: 6077 54020 OPJUMP TS CYR # LOWWD ENTERS HERE IF A RIGHT-HAND OP
042961,000089: 6100 10020 CCS CYR # CODE IS TO BE PROCESSED. TEST PREFICES.
042962,000090: 6101 16247 TCF OPJUMP2 # TEST SECOND PREFIX BIT.
042963,000091:
042964,000092: 6102 16743 TCF EXIT # +0 OP CODE IS EXIT.
042965,000093:
|
|
Page 1004
|
042967,000095: # PROCESS ADDRESSES WHICH MAY BE DIRECT, INDEXED, OR REFERENCE THE PUSHDOWN LIST.
042968,000096:
042969,000097: 6103 74753 ADDRESS MASK BIT1 # SEE IF ADDRESS IS INDEXED. CYR CONTAINED
042970,000098: 6104 10000 CCS A # 400XX, SO BIT 1 IS NOW AS IT WAS IN CYR.
042971,000099: 6105 16146 TCF INDEX # FORM INDEXED ADDRESS.
042972,000100:
042973,000101: 6106 50164 DIRADRES INDEX LOC # LOOK AHEAD TO NEXT WORD TO SEE IF
042974,000102: 6107 40001 OCT40001 CS 1 # ADDRESS IS GIVEN.
042975,000103: 6110 10000 CCS A
042976,000104: 6111 16215 TCF PUSHUP # IF NOT.
042977,000105:
042978,000106: 6112 77773 NEG4 DEC -4 B-14
042979,000107:
042980,000108: 6113 24164 INCR LOC # IF SO, TO SHOW WE PICKED UP A WORD.
042981,000109: 6114 54116 TS ADDRWD
042982,000110:
|
|
Page 1005
|
042984,000112: # FINAL DIGESTION OF DIRECT ADDRESSES OF OP CODES WITH 01 PREFIX IS DONE HERE. IN EACH CASE, THE
042985,000113: # REQUIRED 12-BIT SUB-ADDRESS IS LEFT IN ADDRWD, WITH ANY REQUIRED E OR F BANK SWITCHING DONE. ADDRESSES LESS
042986,000114: # 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.
042987,000115:
042988,000116: 6115 66251 AD -ENDVAC # SEE IF ADDRESS RELATIVE TO WORK AREA.
042989,000117: 6116 10000 CCS A
042990,000118: 6117 67743 AD -ENDERAS # IF NOT, SEE IF IN GENERAL ERASABLE.
042991,000119: 6120 16125 TCF IERASTST
042992,000120:
042993,000121: 6121 30120 NETZERO CA FIXLOC # IF SO, LEAVE THE MODIFIED ADDRESS IN
042994,000122: 6122 26116 ADS ADDRWD # ADDRWD AND DISPATCH.
042995,000123: 6123 50020 ITR15 INDEX CYR # THIS INDEX MAKES THE NEXT INSTRUCTION
042996,000124: 6124 76273 7 INDJUMP -1 # TCF INDJUMP + OP, EDITING CYR.
042997,000125:
042998,000126: 6125 00006 IERASTST EXTEND
042999,000127: 6126 66136 BZMF GEADDR # GO PROCESS GENERAL-ERASABLE ADDRESS.
043000,000128:
043001,000129: 6127 75012 MASK LOW10 # FIXED BANK ADDRESS. RESTORE AND ADD B15.
043002,000130: 6130 65012 AD LOW10 # SWITCH BANKS AND LEAVE SUBADDRESS IN
043003,000131: 6131 56116 XCH ADDRWD # ADDRWD FOR OPERAND RETRIEVAL. (THIS
043004,000132: 6132 60115 AD INTBIT15 # METHOD PRECLUDES USE OF THE LAST
043005,000133: 6133 54004 TS FBANK # LOCATION IN EACH FBANK.)
043006,000134: 6134 50020 ITR12 INDEX CYR
043007,000135: 6135 76273 7 INDJUMP -1
043008,000136:
043009,000137: 6136 74357 GEADDR MASK LOW8
043010,000138: 6137 65007 AD OCT1400
043011,000139: 6140 56116 XCH ADDRWD
043012,000140: 6141 54003 TS EBANK
043013,000141: 6142 50020 ITR10 INDEX CYR
043014,000142: 6143 76273 7 INDJUMP -1
043015,000143:
|
|
Page 1006
|
043017,000145: # THE FOLLOWING ROUTINE PROCESSES INTERPRETIVE INDEXED ADDRESSES. AN INTERPRETER INDEX REGISTER MAY
043018,000146: # CONTAIN THE ADDRESS OF ANY ERASABLE REGISTER (0-42 BEING RELATIVE TO THE VAC AREA) OR ANY INTERPRETIVE PROGRAM
043019,000147: # BANK, OR ANY INTEGER IN THAT RANGE.
043020,000148:
043021,000149: 6144 37733 DODLOAD* CAF DLOAD* # STODL* COMES HERE TO PROCESS LOAD ADR.
043022,000150: 6145 54020 TS CYR # (STOVL* ENTERS HERE).
043023,000151:
043024,000152: 6146 30120 INDEX CA FIXLOC # SET UP INDEX LOCATION.
043025,000153: 6147 54130 TS INDEXLOC
043026,000154: 6150 24164 INCR LOC # (ADDRESS ALWAYS GIVEN).
043027,000155: 6151 50164 INDEX LOC
043028,000156: 6152 40000 CS 0
043029,000157: 6153 10000 CCS A # INDEX 2 IF ADDRESS STORED COMPLEMENTED.
043030,000158: 6154 24130 INCR INDEXLOC
043031,000159: 6155 16156 NOOP
043032,000160:
043033,000161: 6156 54116 TS ADDRWD # 14 BIT ADDRESS TO ADDRWD.
043034,000162: 6157 77742 MASK HIGH4 # IF ADDRESS GREATER THAN 2K, ADD INTBIT15
043035,000163: 6160 00006 EXTEND
043036,000164: 6161 16164 BZF INDEX2
043037,000165: 6162 30115 CA INTBIT15
043038,000166: 6163 26116 ADS ADDRWD
043039,000167:
043040,000168: 6164 50130 INDEX2 INDEX INDEXLOC
043041,000169: 6165 40046 CS X1
043042,000170: 6166 26116 ADS ADDRWD # DO AUGMENT, IGNORING AND CORRECTING OVF.
043043,000171:
043044,000172: 6167 77744 MASK HIGH9 # SEE IF ADDRESS IS IN WORK AREA.
043045,000173: 6170 00006 EXTEND
043046,000174: 6171 16204 BZF INDWORK
043047,000175: 6172 77742 MASK HIGH4 # SEE IF IN FIXED BANK.
043048,000176: 6173 00006 EXTEND
043049,000177: 6174 16206 BZF INDERASE
043050,000178:
043051,000179: 6175 30116 CA ADDRWD # IN FIXED - SWITCH BANKS AND CREATE
043052,000180: 6176 54004 TS FBANK # SUB-ADDRESS.
043053,000181: 6177 75012 MASK LOW10
043054,000182: 6200 64741 AD 2K
043055,000183: 6201 54116 TS ADDRWD
043056,000184: 6202 50020 ITR11 INDEX CYR
043057,000185: 6203 36273 3 INDJUMP -1
043058,000186:
043059,000187: 6204 30120 INDWORK CA FIXLOC # MAKE ADDRWD RELATIVE TO WORK AREA.
043060,000188: 6205 16212 TCF ITR13 -1
043061,000189:
043062,000190: 6206 35007 INDERASE CA OCT1400
043063,000191: 6207 56116 XCH ADDRWD
043064,000192: 6210 54003 TS EBANK
043065,000193: 6211 74357 MASK LOW8
043066,000194: 6212 26116 -1 ADS ADDRWD
|
|
Page 1007
|
043068,000196: 6213 50020 ITR13 INDEX CYR
043069,000197: 6214 36273 3 INDJUMP -1
043070,000198:
|
|
Page 1008
|
043072,000200: # PUSH-UP ROUTINES. WHEN NO OPERAND ADDRESS IS GIVEN, THE APPROPRIATE OPERAND IS TAKEN FROM THE PUSH-DOWN
043073,000201: # LIST. IN MOST CASES THE MODE OF THE RESULT (VECTOR OR SCALAR) OF THE LAST ARITHMETIC OPERATION PERFORMED
043074,000202: # IS THE SAME AS THE TYPE OF OPERAND DESIRED (ALL ADD/SUBTRACT ETC.). EXCEPTIONS TO THIS GENERAL RULE ARE LISTED
043075,000203: # BELOW (NOTE THAT IN EVERY CASE THE MODE REGISTER IS LEFT INTACT):
043076,000204:
043077,000205: # 1. VXSC AND V/SC WANT THE OPPOSITE TYPE OF OPERAND, E.G., IF THE LAST OPERATION YIELDED A VECTOR
043078,000206: # RESULT, VXSC WANTS A SCALAR.
043079,000207:
043080,000208: # 2. THE LOAD CODES SHOULD LOAD THE ACCUMULATOR INDEPENDENT OF THE RESULT OF THE LAST OPERATION. THIS
043081,000209: # INCLUDES VLOAD, DLOAD, TLOAD, PDDL, AND PDVL (NO PUSHUP WITH SLOAD).
043082,000210:
043083,000211: # 3. SOME ARITHMETIC OPERATIONS REQUIRE A STANDARD TYPE OF OPERAND REGARDLESS OF THE PREVIOUS OPERATION.
043084,000212: # THIS INCLUDES SIGN WANTING DP AND TAD REQUIRING TP.
043085,000213:
043086,000214: 6215 34360 PUSHUP CAF OCT23 # IF THE LOW 5 BITS OF CYR ARE LESS THAN
043087,000215: 6216 70020 MASK CYR # 20, THIS OP REQUIRES SPECIAL ATTENTION.
043088,000216: 6217 66222 AD -OCT10 # (NO -0).
043089,000217: 6220 10000 CCS A
043090,000218: 6221 16233 TCF REGUP # FOR ALL CODES GREATER THAN OCT 7.
043091,000219:
043092,000220: 6222 77767 -OCT10 OCT -10
043093,000221:
043094,000222: 6223 66112 AD NEG4 # WE NOW HAVE 7 - OP CODE (MOD4). SEE IF
043095,000223: 6224 10000 CCS A # THE OP CODE (MOD4) IS THREE (REVERSE).
043096,000224: 6225 50000 INDEX A # NO - THE MODE IS DEFINITE. PICK UP THE
043097,000225: 6226 46244 CS NO.WDS
043098,000226: 6227 16235 TCF REGUP +2
043099,000227:
043100,000228: 6230 50163 INDEX MODE # FOR VXSC AND V/SC WE WANT THE REQUIRED
043101,000229: 6231 46242 CS REVCNT # PUSHLOC DECREMENT WITHOUT CHANGING THE
043102,000230: 6232 16235 TCF REGUP +2 # MODE AT THIS TIME.
043103,000231:
043104,000232: 6233 50163 REGUP INDEX MODE # MOST ALL OP CODES PUSHUP HERE.
043105,000233: 6234 46244 CS NO.WDS
043106,000234: 6235 26166 +2 ADS PUSHLOC
043107,000235: 6236 54116 TS ADDRWD
043108,000236: 6237 50020 ITR14 INDEX CYR
043109,000237: 6240 76273 7 INDJUMP -1 # (THE INDEX MAKES THIS A TCF.)
043110,000238:
043111,000239: 6241 00002 OCT 2 # REVERSE PUSHUP DECREMENT. VECTOR TAKES 2
043112,000240: 6242 00006 REVCNT OCT 6 # WORDS, SCALAR TAKES 6.
043113,000241: 6243 00006 OCT 6
043114,000242: 6244 00002 NO.WDS OCT 2 # CONVENTIONAL DECREMENT IS 6 WORDS VECTOR
043115,000243: 6245 00003 OCTAL3 OCT 3 # 2 IN DP, AND 3 IN TP.
043116,000244: 6246 00006 OCT 6
043117,000245:
|
|
Page 1009
|
043119,000247: # TEST THE SECOND PREFIX BIT TO SEE IF THIS IS A MISCELLANEOUS OR A UNARY/SHORT SHIFT OPERATION.
043120,000248:
043121,000249: 6247 10020 OPJUMP2 CCS CYR # TEST SECOND PREFIX BIT.
043122,000250: 6250 16263 TCF OPJUMP3 # TEST THIRD BIT TO SEE IF UNARY OR SHIFT.
043123,000251:
043124,000252: 6251 77722 -ENDVAC DEC -45 B-14
043125,000253:
043126,000254: # THE FOLLOWING ROUTINE PROCESSES ADDRESSES OF SUFFIX CLASS 10. THEY ARE BASICALLY WORK AREA ADDRESSES
043127,000255: # IN THE RANGE 0-52, ERASABLE ECADR CONSTANTS FROM 100-3777, AND FCADRS ABOVE THAT. ALL 15 BITS ARE AVAILABLE
043128,000256: # IN CONTRAST TO SUFFIX 1, IN WHICH ONLY THE LOW ORDER 14 ARE AVAILABLE.
043129,000257:
043130,000258: 6252 24164 15BITADR INCR LOC # (ENTRY HERE FROM STCALL).
043131,000259: 6253 50164 INDEX LOC # PICK UP ADDRESS WORD.
043132,000260: 6254 30000 CA 0
043133,000261: 6255 54117 TS POLISH # WE MAY NEED A SUBADDRESS LATER.
043134,000262:
043135,000263: 6256 35013 CAF LOW7+2K # THESE INSTRUCTIONS ARE IN BANK 1.
043136,000264: 6257 54004 TS FBANK
043137,000265: 6260 70020 MASK CYR
043138,000266: 6261 50000 ITR7 INDEX A
043139,000267: 6262 16334 TCF MISCJUMP
043140,000268:
|
|
Page 1010
|
043142,000270: # COMPLETE THE DISPATCHING OF UNARY AND SHORT SHIFT OPERATIONS.
043143,000271:
043144,000272: 6263 54004 OPJUMP3 TS FBANK # CALL IN BANK 0 (BITS 11-15 OF A ARE 0.)
043145,000273: # ITRACE (6) REFERS TO "OPJUMP3".
043146,000274: 6264 10020 CCS CYR # TEST THIRD PREFIX BIT.
043147,000275: 6265 50000 INDEX A # THE DECREMENTED UNARY CODE IS IN BITS
043148,000276: 6266 12000 TCF UNAJUMP # 1-4 OF A (ZERO, EXIT, HAS BEEN DETECTED)
043149,000277:
043150,000278: 6267 10163 CCS MODE # ITS A SHORT SHIFT CODE. SEE IF PRESENT
043151,000279: 6270 12017 TCF SHORTT # SCALAR OR VECTOR.
043152,000280: 6271 12017 TCF SHORTT
043153,000281: 6272 12121 TCF SHORTV # CALLS THE APPROPRIATE ROUTINE.
043154,000282:
043155,000283: 6273 4350 FBANKMSK EQUALS BANKMASK
043156,000284: 6273 00122 LVBUF ADRES VBUF
043157,000285:
|
|
Page 1011
|
043159,000287: # THE FOLLOWING IS THE JUMP TABLE FOR OP CODES WHICH MAY HAVE INDEXABLE ADDRESSES OR MAY PUSH UP.
043160,000288:
043161,000289: 6274 16505 INDJUMP TCF VLOAD # 00 - LOAD MPAC WITH A VECTOR.
043162,000290: 6275 17071 TCF TAD # 01 - TRIPLE PRECISION ADD TO MPAC.
043163,000291: 6276 17655 TCF SIGN # 02 - COMPLEMENT MPAC (V OR SC) IF X NEG.
043164,000292: 6277 17401 TCF VXSC # 03 - VECTOR TIMES SCALAR.
043165,000293: 6300 16703 TCF CGOTO # 04 - COMPUTED GO TO.
043166,000294: 6301 16470 TCF TLOAD # 05 - LOAD MPAC WITH TRIPLE PRECISION.
043167,000295: 6302 16052 TCF DLOAD # 06 - LOAD MPAC WITH A DP SCALAR.
043168,000296: 6303 17624 TCF V/SC # 07 - VECTOR DIVIDED BY SCALAR.
043169,000297:
043170,000298: 6304 16501 TCF SLOAD # 10 - LOAD MPACIN SINGLE PRECISION.
043171,000299: 6305 16620 TCF SSP # 11 - SET SINGLE PRECISION INTO X.
043172,000300: 6306 16523 TCF PDDL # 12 - PUSH DOWN MPAC AND RE-LOAD IN DP.
043173,000301: 6307 17334 TCF MXV # 13 - MATRIX POST-MULTIPLIED BY VECTOR.
043174,000302: 6310 16557 TCF PDVL # 14 - PUSH DOWN AND VECTOR LOAD.
043175,000303: 6311 16626 TCF CCALL # 15 - COMPUTED CALL.
043176,000304: 6312 17337 TCF VXM # 16 - MATRIX PRE-MULTIPLIED BY VECTOR.
043177,000305: 6313 17616 TCF TSLC # 17 - NORMALIZE MPAC (SCALAR ONLY).
043178,000306:
043179,000307: 6314 17574 TCF DMPR # 20 - DP MULTIPLY AND ROUND.
043180,000308: 6315 17577 TCF DDV # 21 - DP DIVIDE BY.
043181,000309: 6316 17603 TCF BDDV # 22 - DP DIVIDE INTO.
043182,000310: 6317 17621 TCF GSHIFT # 23 - GENERAL SHIFT INSTRUCTION.
043183,000311: 6320 16751 TCF VAD # 24 - VECTOR ADD.
043184,000312: 6321 16747 TCF VSU # 25 - VECTOR SUBTRACT.
043185,000313: 6322 17036 TCF BVSU # 26 - VECTOR SUBTRACT FROM.
043186,000314: 6323 17331 TCF DOT # 27 - VECTOR DOT PRODUCT.
043187,000315:
043188,000316: 6324 17460 TCF VXV # 30 - VECTOR CROSS PRODUCT.
043189,000317: 6325 17425 TCF VPROJ # 31 - VECTOR PROJECTION.
043190,000318: 6326 17005 TCF DSU # 32 - DP SUBTRACT.
043191,000319: 6327 17062 TCF BDSU # 33 - DP SUBTRACT FROM.
043192,000320: 6330 16775 TCF DAD # 34 - DP ADD.
043193,000321: 6331 16331 TCF +0 # 35 - AVAILABLE
043194,000322: 6332 17572 TCF DMP1 # 36 - DP MULTIPLY.
043195,000323: 6333 17613 TCF SETPD # 37 - SET PUSH DOWN POINTER (DIRECT ONLY)
043196,000324:
043197,000325: # CODES 10 AND 14 MUST NOT PUSH UP. CODE 04 MAY BE USED FOR VECTOR DECLARE BEFORE PUSHUP IF DESIRED.
043198,000326:
|
|
Page 1012
|
043200,000328: # THE FOLLOWING JUMP TABLE APPLIES TO INDEX, BRANCH, AND MISCELLANEOUS INSTRUCTIONS.
043201,000329:
043202,000330: 6334 12344 MISCJUMP TCF AXT # 00 - ADDRESS TO INDEX TRUE.
043203,000331: 6335 12351 TCF AXC # 01 - ADDRESS TO INDEX COMPLEMENTED.
043204,000332: 6336 12354 TCF LXA # 02 - LOAD INDEX FROM ERASABLE.
043205,000333: 6337 12360 TCF LXC # 03 - LOAD INDEX FROM COMPLEMENT OF ERAS.
043206,000334: 6340 12364 TCF SXA # 04 - STORE INDEX IN ERASABLE.
043207,000335: 6341 12372 TCF XCHX # 05 - EXCHANGE INDEX WITH ERASABLE.
043208,000336: 6342 12406 TCF INCR # 06 - INCREMENT INDEX REGISTER.
043209,000337: 6343 12415 TCF TIX # 07 - TRANSFER ON INDEX.
043210,000338:
043211,000339: 6344 12400 TCF XAD # 10 - INDEX REGISTER ADD FROM ERASABLE.
043212,000340: 6345 12411 TCF XSU # 11 - INDEX SUBTRACT FROM ERASABLE.
043213,000341: 6346 12467 TCF BZE/GOTO # 12 - BRANCH ZERO AND GOTO.
043214,000342: 6347 12474 TCF BPL/BMN # 13 - BRANCH PLUS AND BRANCH MINUS.
043215,000343: 6350 12447 TCF RTB/BHIZ # 14 - RETURN TO BASIC AND BRANCH HI ZERO.
043216,000344: 6351 12507 TCF CALL/ITA # 15 - CALL AND STORE QPRET.
043217,000345: 6352 12516 TCF SW/ # 16 - SWITCH INSTRUCTIONS AND AVAILABLE.
043218,000346: 6353 12457 TCF BOV(B) # 17 - BRANCH ON OVERFLOW TO BASIC OR INT.
043219,000347:
|
|
Page 1013
|
043221,000349: # THE FOLLOWING JUMP TABLE APPIES TO UNARY INSTRUCTIONS.
043222,000350:
043223,000351: 6354 COUNT* $$/INTER
043224,000352: 00,2000 BANK 0 # 00 - EXIT - DETECTED EARLIER.
043225,000353: 00,2000 13207 UNAJUMP TCF SQRT # 01 - SQUARE ROOT.
043226,000354: 00,2001 13530 TCF SINE # 02 - SIN.
043227,000355: 00,2002 13517 TCF COSINE # 03 - COS.
043228,000356: 00,2003 13610 TCF ARCSIN # 04 - ARC SIN.
043229,000357: 00,2004 13612 TCF ARCCOS # 05 - ARC COS.
043230,000358: 00,2005 13174 TCF DSQ # 06 - DP SQUARE.
043231,000359: 00,2006 12116 TCF ROUND # 07 - ROUND TO DP.
043232,000360:
043233,000361: 00,2007 17670 TCF COMP # 10 - COMPLEMENT VECTOR OR SCALAR.
043234,000362: 00,2010 13232 TCF VDEF # 11 - VECTOR DEFINE.
043235,000363: 00,2011 13023 TCF UNIT # 12 - UNIT VECTOR.
043236,000364: 00,2012 13176 TCF ABVALABS # 13 - LENGTH OF VECTOR OR MAG OF SCALAR.
043237,000365: 00,2013 13245 TCF VSQ # 14 - SQUARE OF LENGTH OF VECTOR.
043238,000366: 00,2014 16354 TCF STADR # 15 - PUSH UP ON STORE CODE.
043239,000367: 00,2015 13274 TCF RVQ # 16 - RETURN VIA QPRET.
043240,000368: 00,2016 13247 TCF PUSH # 17 - PUSH MPAC DOWN.
043241,000369:
|
|
Page 1014
|
043243,000371: # SECTION 2 LOAD AND STORE PACKAGE.
043244,000372:
043245,000373: # A SET OF EIGHT STORE CODES IS PROVIDED AS THE PRIMARY METHOD OF STORING THE MULTI-PURPOSE
043246,000374: # ACCUMULATOR (MPAC). IF IN THE DANZIG SECTION LOC REFERS TO AN ALGEBRAICALLY POSITIVE WORD, IT IS TAKEN AS A
043247,000375: # STORE CODE WITH A CORRESPONDING ERASABLE ADDRESS. MOST OF THESE CODES ARE TWO ADDRESS, SPECIFYING THAT THE WORD
043248,000376: # FOLLOWING THE STORE CODE IS TO BE USED AS AN ADDRESS FROM WHICH TO RE-LOAD MPAC. FOUR OPTIONS ARE AVAILABLE:
043249,000377:
043250,000378: # 1. STORE STORE MPAC. THE E ADDRESS MAY BE INDEXED.
043251,000379: # 2. STODL STORE MPAC AND RE-LOAD IT IN DP WITH THE NEXT ADDRESS (THE LOAD MAY BE INDEXED).
043252,000380: # 3. STOVL STORE MPAC AND RE-LOAD A VECTOR (AS ABOVE).
043253,000381: # 4. STCALL STORE AND DO A CALL (BOTH ADDRESSES MUST BE DIRECT HERE).
043254,000382:
043255,000383: # STODL AND STOVL WILL TAKE FROM THE PUSH-DOWN LIST IF NO LOAD ADDRESS IS GIVEN.
043256,000384:
043257,000385: 6354 BLOCK 3
043258,000386:
043259,000387: 6354 COUNT* $$/INTER
043260,000388: 6354 30165 STADR CA BANKSET # THE STADR CODE (PUSHUP UP ON STORE
043261,000389: 6355 54004 TS FBANK # ADDRESS) ENTERS HERE.
043262,000390: 6356 24164 INCR LOC
043263,000391: 6357 50164 ITR1 INDEX LOC # THE STORECODE WAS STORED COMPLEMENTED TO
043264,000392: 6360 40000 CS 0 # MAKE IT LOOK LIKE AN OPCODE PAIR.
043265,000393: 6361 67747 AD NEGONE # (YUL CANT REMOVE 1 BECAUSE OF EARLY CCS)
043266,000394:
043267,000395: 6362 54116 DOSTORE TS ADDRWD
043268,000396: 6363 74356 MASK LOW11 # ENTRY FROM DISPATCHER. SAVE THE ERASABLE
043269,000397: 6364 56116 XCH ADDRWD # ADDRESS AND JUMP ON THE STORE CODE NO.
043270,000398: 6365 77722 MASK B12T14
043271,000399: 6366 00006 EXTEND
043272,000400: 6367 74747 MP BIT5 # EACH TRANSFER VECTOR ENTRY IS TWO WORDS.
043273,000401: 6370 50000 INDEX A
043274,000402: 6371 16372 TCF STORJUMP
043275,000403:
|
|
Page 1015
|
043277,000405: # STORE CODE JUMP TABLE. CALLS THE APPROPRIATE STORING ROUTINE AND EXITS TO DANZIG OR TO ADDRESS WITH
043278,000406: # A SUPPLIED OPERATION CODE.
043279,000407:
043280,000408: # STORE STORE,1 AND STORE,2 RETURN TO DANZIG, THUS RESETTING THE EBANK TO ITS STATE AT INTPRET.
043281,000409:
043282,000410: 6372 06422 STORJUMP TC STORE # STORE.
043283,000411: 6373 16061 TCF DANZIG # PICK UP NEW OP CODE(S).
043284,000412: 6374 06414 TC STORE,1
043285,000413: 6375 16061 TCF DANZIG
043286,000414: 6376 06417 TC STORE,2
043287,000415: 6377 16061 TCF DANZIG
043288,000416:
043289,000417: 6400 06422 TC STORE # STODL.
043290,000418: 6401 16460 TCF DODLOAD
043291,000419:
043292,000420: 6402 06422 TC STORE # STODL WITH INDEXED LOAD ADDRESS.
043293,000421: 6403 16144 TCF DODLOAD*
043294,000422:
043295,000423: 6404 06422 TC STORE # STOVL.
043296,000424: 6405 16463 TCF DOVLOAD
043297,000425:
043298,000426: 6406 06422 TC STORE # STOVL WITH INDEXED LOAD ADDRESS.
043299,000427: 6407 16466 TCF DOVLOAD*
043300,000428: 6410 06422 TC STORE # STOTC.
043301,000429: 6411 34766 CAF CALLCODE
043302,000430: 6412 54020 TS CYR
043303,000431: 6413 16252 TCF 15BITADR # GET A 15 BIT ADDRESS.
043304,000432:
|
|
Page 1016
|
043306,000434: # STORE CODE ADDRESS PROCESSOR.
043307,000435:
043308,000436: 6414 50120 STORE,1 INDEX FIXLOC
043309,000437: 6415 40046 CS X1
043310,000438: 6416 16421 TCF PRESTORE
043311,000439:
043312,000440: 6417 50120 STORE,2 INDEX FIXLOC
043313,000441: 6420 40047 CS X2
043314,000442: 6421 26116 PRESTORE ADS ADDRWD # RESULTANT ADDRESS IS IN ERASABLE.
043315,000443:
043316,000444: 6422 40116 STORE CS ADDRWD
043317,000445: 6423 64772 AD DEC45
043318,000446: 6424 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA?
043319,000447: 6425 30120 CA FIXLOC # YES.
043320,000448: 6426 16433 TCF AHEAD5
043321,000449: 6427 35007 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS.
043322,000450: 6430 56116 XCH ADDRWD
043323,000451: 6431 54003 TS EBANK
043324,000452: 6432 74357 MASK LOW8
043325,000453: 6433 26116 AHEAD5 ADS ADDRWD
043326,000454:
|
|
Page 1017
|
043328,000456: # STORING ROUTINES. STORE DP, TP, OR VECTOR AS INDICATED BY MODE.
043329,000457:
043330,000458: 6434 00006 STARTSTO EXTEND # MPAC,+1 MUST BE STORED IN ANY EVENT.
043331,000459: # ITRACE (5) REFERS TO "STARTSTO".
043332,000460: 6435 30155 DCA MPAC
043333,000461: 6436 50116 INDEX ADDRWD
043334,000462: 6437 52001 DXCH 0
043335,000463:
043336,000464: 6440 10163 CCS MODE
043337,000465: 6441 16454 TCF TSTORE
043338,000466: 6442 00002 TC Q
043339,000467:
043340,000468: 6443 00006 VSTORE EXTEND
043341,000469: 6444 30160 DCA MPAC +3
043342,000470: 6445 50116 INDEX ADDRWD
043343,000471: 6446 52003 DXCH 2
043344,000472:
043345,000473: 6447 00006 EXTEND
043346,000474: 6450 30162 DCA MPAC +5
043347,000475: 6451 50116 INDEX ADDRWD
043348,000476: 6452 52005 DXCH 4
043349,000477: 6453 00002 TC Q
043350,000478:
043351,000479: 6454 30156 TSTORE CA MPAC +2
043352,000480: 6455 50116 INDEX ADDRWD
043353,000481: 6456 54002 TS 2
043354,000482: 6457 00002 TC Q
043355,000483:
|
|
Page 1018
|
043357,000485: # ROUTINES TO BEGIN PROCESSING OF THE SECOND ADDRESS ASSOCIATED WITH ALL STORE-TYPE CODES EXCEPT STORE
043358,000486: # ITSELF.
043359,000487:
043360,000488: 6460 37732 DODLOAD CAF DLOADCOD
043361,000489: 6461 54020 TS CYR
043362,000490: 6462 16106 TCF DIRADRES # GO GET A DIRECT ADDRESS.
043363,000491:
043364,000492: 6463 34735 DOVLOAD CAF VLOADCOD
043365,000493: 6464 54020 TS CYR
043366,000494: 6465 16106 TCF DIRADRES
043367,000495:
043368,000496: 6466 36107 DOVLOAD* CAF VLOAD*
043369,000497: 6467 16145 TCF DODLOAD* +1 # PROLOGUE TO INDEX ROUTINE.
043370,000498:
|
|
Page 1019
|
043372,000500: # THE FOLLOWING LOAD INSTRUCTIONS ARE PROVIDED FOR LOADING THE MULTI-PURPOSE ACCUMULATOR MPAC.
043373,000501:
043374,000502: 6470 50116 TLOAD INDEX ADDRWD
043375,000503: 6471 30002 CA 2 # LOAD A TRIPLE PRECISION ARGUMENT INTO
043376,000504: 6472 54156 TS MPAC +2 # THE FIRST THREE MPAC REGISTERS, WITH THE
043377,000505: 6473 00006 EXTEND # CONTENTS OF THE OTHER FOUR IRRELEVANT.
043378,000506: 6474 50116 INDEX ADDRWD
043379,000507: 6475 30001 DCA 0
043380,000508: 6476 52155 DXCH MPAC
043381,000509: 6477 34753 TMODE CAF ONE
043382,000510: 6500 16060 TCF NEWMODE # DECLARE TRIPLE PRECISION MODE.
043383,000511:
043384,000512: 6501 22007 SLOAD ZL # LOAD A SINGLE PRECISION NUMBER INTO
043385,000513: 6502 50116 INDEX ADDRWD # MPAC, SETTING MPAC+1,2 TO ZERO. THE
043386,000514: 6503 30000 CA 0 # CONTENTS OF THE REMAINING MPAC REGISTERS
043387,000515: 6504 16055 TCF SLOAD2 # ARE IRRELEVANT.
043388,000516:
043389,000517: 6505 00006 VLOAD EXTEND # LOAD A DOUBLE PRECISION VECTOR INTO
043390,000518: 6506 50116 INDEX ADDRWD # MPAC,+1, MPAC+3,4, AND MPAC+5,6. THE
043391,000519: 6507 30001 DCA 0 # CONTENTS OF MPAC +2 ARE IRRELEVANT.
043392,000520: 6510 52155 DXCH MPAC
043393,000521:
043394,000522: 6511 00006 ENDVLOAD EXTEND # PDVL COMES HERE TO FINISH UP FOR DP, TP.
043395,000523: 6512 50116 INDEX ADDRWD
043396,000524: 6513 30003 DCA 2
043397,000525: 6514 52160 DXCH MPAC +3
043398,000526:
043399,000527: 6515 00006 +4 EXTEND # TPDVL FINISHES HERE.
043400,000528: 6516 50116 INDEX ADDRWD
043401,000529: 6517 30005 DCA 4
043402,000530: 6520 52162 DXCH MPAC +5
043403,000531:
043404,000532: 6521 44753 VMODE CS ONE # DECLARE VECTOR MODE.
043405,000533: 6522 16060 TCF NEWMODE
043406,000534:
|
|
Page 1020
|
043408,000536: # THE FOLLOWING INSTRUCTIONS ARE PROVIDED FOR STORING OPERANDS IN THE PUSHDOWN LIST:
043409,000537: # 1. PUSH PUSHDOWN AND NO LOAD.
043410,000538: # 2. PDDL PUSHDOWN AND DOUBLE PRECISION LOAD.
043411,000539: # 3. PDVL PUSHDOWN AND VECTOR LOAD.
043412,000540:
043413,000541: 6523 00006 PDDL EXTEND
043414,000542: 6524 50116 INDEX ADDRWD # LOAD MPAC,+1, PUSHING THE FORMER
043415,000543: 6525 30001 DCA 0 # CONTENTS DOWN.
043416,000544: 6526 52155 DXCH MPAC
043417,000545: 6527 50166 INDEX PUSHLOC
043418,000546: 6530 52001 DXCH 0
043419,000547:
043420,000548: 6531 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER APPRO-
043421,000549: 6532 36244 CAF NO.WDS # PRIATELY.
043422,000550: 6533 26166 ADS PUSHLOC
043423,000551:
043424,000552: 6534 10163 CCS MODE
043425,000553: 6535 16552 TCF ENDTPUSH
043426,000554: 6536 16550 TCF ENDDPUSH
043427,000555:
043428,000556: 6537 54163 TS MODE # NOW DP.
043429,000557: 6540 54156 ENDVPUSH TS MPAC +2
043430,000558: 6541 52160 DXCH MPAC +3 # PUSH DOWN THE REST OF THE VECTOR HERE.
043431,000559: 6542 50166 INDEX PUSHLOC
043432,000560: 6543 51775 DXCH 0 -4
043433,000561:
043434,000562: 6544 52162 DXCH MPAC +5
043435,000563: 6545 50166 INDEX PUSHLOC
043436,000564: 6546 51777 DXCH 0 -2
043437,000565:
043438,000566: 6547 16061 TCF DANZIG
043439,000567:
043440,000568: 6550 54156 ENDDPUSH TS MPAC +2 # SET MPAC +2 TO ZERO AND EXIT ON DP.
043441,000569: 6551 16061 TCF DANZIG
043442,000570:
043443,000571: 6552 54163 ENDTPUSH TS MODE
043444,000572: 6553 56156 XCH MPAC +2 # ON TRIPLE, SET MPAC +2 TO ZERO, PUSHING
043445,000573: 6554 50166 +2 INDEX PUSHLOC # DOWN THE OLD CONTENTS
043446,000574: 6555 53777 TS 0 -1
043447,000575: 6556 16061 TCF DANZIG
043448,000576:
|
|
Page 1021
|
043450,000578: # PDVL - PUSHDOWN AND VECTOR LOAD.
043451,000579:
043452,000580: 6557 00006 PDVL EXTEND # RELOAD MPAC AND PUSH DOWN ITS CONTENTS.
043453,000581: 6560 50116 INDEX ADDRWD
043454,000582: 6561 30001 DCA 0
043455,000583: 6562 52155 DXCH MPAC
043456,000584: 6563 50166 INDEX PUSHLOC
043457,000585: 6564 52001 DXCH 0
043458,000586:
043459,000587: 6565 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER.
043460,000588: 6566 36244 CAF NO.WDS
043461,000589: 6567 26166 ADS PUSHLOC
043462,000590:
043463,000591: 6570 10163 CCS MODE # TEST PAST MODE.
043464,000592: 6571 16610 TCF TPDVL
043465,000593: 6572 16511 TCF ENDVLOAD # JUST LOAD LAST FOUR REGISTERS ON DP.
043466,000594:
043467,000595: 6573 00006 VPDVL EXTEND # PUSHDOWN AND RE-LOAD LAST TWO COMPONENTS
043468,000596: 6574 50116 INDEX ADDRWD
043469,000597: 6575 30003 DCA 2
043470,000598: 6576 52160 DXCH MPAC +3
043471,000599: 6577 50166 INDEX PUSHLOC
043472,000600: 6600 51775 DXCH 0 -4
043473,000601:
043474,000602: 6601 00006 EXTEND
043475,000603: 6602 50116 INDEX ADDRWD
043476,000604: 6603 30005 DCA 4
043477,000605: 6604 52162 DXCH MPAC +5
043478,000606: 6605 50166 INDEX PUSHLOC
043479,000607: 6606 51777 DXCH 0 -2
043480,000608:
043481,000609: 6607 16061 TCF DANZIG
043482,000610:
043483,000611: 6610 00006 TPDVL EXTEND # ON TP, WE MUST LOAD THE Y COMPONENT
043484,000612: 6611 50116 INDEX ADDRWD # BEFORE STORING MPAC +2 IN CASE THIS IS A
043485,000613: 6612 30003 DCA 2 # PUSHUP.
043486,000614: 6613 52160 DXCH MPAC +3
043487,000615:
043488,000616: 6614 30156 CA MPAC +2
043489,000617: 6615 50166 INDEX PUSHLOC # IN DP.
043490,000618: 6616 53777 TS 0 -1
043491,000619: 6617 16515 TCF ENDVLOAD +4
043492,000620:
043493,000621: # SSP (STORE SINGLE PRECISION) IS EXECUTED HERE.
043494,000622:
043495,000623: 6620 24164 SSP INCR LOC # PICK UP THE WORD FOLLOWING THE GIVEN
043496,000624: 6621 50164 INDEX LOC # ADDRESS AND STORE IT AT X.
043497,000625: 6622 30000 CA 0
043498,000626: 6623 50116 STORE1 INDEX ADDRWD # SOME INDEX AND MISCELLANEOUS OPS END
043499,000627: 6624 54000 TS 0 # HERE.
|
|
Page 1022
|
043501,000629: 6625 16061 TCF DANZIG
043502,000630:
|
|
Page 1023
|
043504,000632: # SEQUENCE CHANGING AND SUBROUTINE CALLING OPTIONS.
043505,000633:
043506,000634: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR SEQUENCING CHANGING, BRANCHING, AND CALLING SUBROUTINES:
043507,000635: # 1. GOTO GO TO.
043508,000636: # 2. CALL CALL SUBROUTINE SETTING QPRET.
043509,000637: # 3. CGOTO COMPUTED GO TO.
043510,000638: # 4. CCALL COMPUTED CALL.
043511,000639: # 7. BPL BRANCH IF MPAC POSITIVE OR ZERO.
043512,000640: # 8. BZE BRANCH IF MPAC ZERO.
043513,000641: # 9. BMN BRANCH IF MPAC NEGATIVE NON-ZERO.
043514,000642:
043515,000643: 6626 24164 CCALL INCR LOC # MAINTAIN LOC FOR QPRET COMPUTATION.
043516,000644: 6627 50164 INDEX LOC
043517,000645: 6630 30000 CAF 0 # GET BASE ADDRESS OF CADR LIST.
043518,000646: 6631 50116 INDEX ADDRWD
043519,000647: 6632 60000 AD 0 # ADD INCREMENT.
043520,000648: 6633 54004 TS FBANK # SELECT DESIRED CADR.
043521,000649: 6634 75012 MASK LOW10
043522,000650: 6635 50000 INDEX A
043523,000651: 6636 32000 CAF 10000
043524,000652: 6637 54117 TS POLISH
043525,000653:
043526,000654: 6640 30165 CALL CA BANKSET # FOR ANY OF THE CALL OPTIONS, MAKE UP THE
043527,000655: 6641 74350 MASK BANKMASK # ADDRESS OF THE NEXT OP-CODE PAIR/STORE
043528,000656: 6642 64350 AD BANKMASK # CODE AND LEAVE IT IN QPRET. NOTE THAT
043529,000657: 6643 60164 AD LOC # BANKMASK = -(2000 - 1).
043530,000658: 6644 50120 INDEX FIXLOC
043531,000659: 6645 54052 TS QPRET
043532,000660:
043533,000661: 6646 30117 GOTO CA POLISH # BASIC BRANCHING SEQUENCE.
043534,000662: 6647 77742 +1 MASK HIGH4
043535,000663: 6650 00006 EXTEND
043536,000664: 6651 16662 BZF GOTOERS # SEE IF ADDRESS POINTS TO FIXED OR ERAS.
043537,000665: 6652 30165 +4 CA BANKSET # SET EBANK PART OF BBANK. NEXT, SET UP
043538,000666: 6653 54006 TS BBANK # FBANK. THE COMBINATION IS PICKED UP &
043539,000667: 6654 30117 CA POLISH # PUT INTO BANKSET AT INTPRET +2.
043540,000668: 6655 54004 TS FBANK
043541,000669: 6656 75012 MASK LOW10
043542,000670: 6657 64741 AD 2K
043543,000671: 6660 54164 TS LOC
043544,000672: 6661 16042 TCF INTPRET +3
043545,000673:
043546,000674: 6662 E3,1400 EBANK= 1400 # SO YUL DOESN'T CUSS THE "CA 1400" BELOW.
043547,000675:
043548,000676: 6662 30117 GOTOERS CA POLISH # THE GIVEN ADDRESS IS IN ERASABLE - SEE
043549,000677: 6663 66251 AD -ENDVAC # IF RELATIVE TO THE WORK AREA.
043550,000678: 6664 10000 CCS A
043551,000679: 6665 30117 CA POLISH # GENERAL ERASABLE.
043552,000680: 6666 16675 TCF GOTOGE
043553,000681:
|
|
Page 1024
|
043555,000683: 6667 30120 CA FIXLOC # WORK AREA.
043556,000684: 6670 60117 AD POLISH
043557,000685: 6671 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF
043558,000686: 6672 30000 CA 0 # THE BRANCH ADDRESS.
043559,000687: 6673 54117 TS POLISH
043560,000688: 6674 16647 TCF GOTO +1 # ALLOWS ARBITRARY INDIRECTNESS LEVELS.
043561,000689:
043562,000690: 6675 54003 GOTOGE TS EBANK
043563,000691: 6676 74357 MASK LOW8
043564,000692: 6677 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF
043565,000693: 6700 31400 CA 1400 # THE BRANCH ADDRESS.
043566,000694: 6701 54117 TS POLISH
043567,000695: 6702 16647 TCF GOTO +1
043568,000696:
043569,000697: 6703 50164 CGOTO INDEX LOC # COMPUTED GO TO. PICK UP ADDRESS OF CADR
043570,000698: 6704 30001 CA 1 # LIST.
043571,000699: 6705 50116 INDEX ADDRWD # ADD MODIFIER.
043572,000700: 6706 60000 AD 0
043573,000701: 6707 54004 TS FBANK # SELECT GOTO ADDRESS.
043574,000702: 6710 75012 MASK LOW10
043575,000703: 6711 50000 INDEX A
043576,000704: 6712 32000 CA 10000
043577,000705: 6713 54117 TS POLISH
043578,000706: 6714 16647 TCF GOTO +1 # WITH ADDRESS IN A.
043579,000707:
043580,000708: 6715 30165 SWBRANCH CA BANKSET # SWITCH INSTRUCTIONS WHICH ELECT TO
043581,000709: 6716 54004 TS FBANK # BRANCH COME HERE TO DO SO.
043582,000710: 6717 50164 INDEX LOC
043583,000711: 6720 30001 CA 1
043584,000712: 6721 54117 TS POLISH
043585,000713: 6722 16647 TCF GOTO +1
043586,000714:
|
|
Page 1025
|
043588,000716: # TRIPLE PRECISION BRANCHING ROUTINE. IF CALLING TC IS AT L, RETURN IS AS FOLLOWS:
043589,000717: # L+1 IF MPAC IS GREATER THAN ZERO.
043590,000718: # L+2 IF MPAC IS EQUAL TO +0 OR -0.
043591,000719: # L+3 IF MPAC IS LESS THAN ZERO.
043592,000720:
043593,000721: 6723 10154 BRANCH CCS MPAC
043594,000722: 6724 00002 TC Q
043595,000723: 6725 16727 TCF +2 # ON ZERO.
043596,000724: 6726 16741 TCF NEG
043597,000725:
043598,000726: 6727 10155 CCS MPAC +1
043599,000727: 6730 00002 TC Q
043600,000728: 6731 16733 TCF +2
043601,000729: 6732 16741 TCF NEG
043602,000730:
043603,000731: 6733 10156 CCS MPAC +2
043604,000732: 6734 00002 TC Q
043605,000733: 6735 16737 TCF +2
043606,000734: 6736 16741 TCF NEG
043607,000735:
043608,000736: 6737 50002 Q+1 INDEX Q
043609,000737: 6740 00001 TC 1
043610,000738:
043611,000739: 6741 50002 NEG INDEX Q # IF FIRST NON-ZERO REGISTER WAS NEGATIVE.
043612,000740: 6742 00002 TC 2
043613,000741:
043614,000742: 6743 6741 Q+2 = NEG
043615,000743:
043616,000744: # ITRACE (3) REFERS TO "EXIT".
043617,000745:
043618,000746: 6743 30165 EXIT CA BANKSET # RESTORE USER'S BANK SETTING, AND LEAVE
043619,000747: 6744 54006 TS BBANK # INTERPRETIVE MODE.
043620,000748: 6745 50164 INDEX LOC
043621,000749: 6746 00001 TC 1
043622,000750:
|
|
Page 1026
|
043624,000752: # SECTION 3 - ADD/SUBTRACT PACKAGE.
043625,000753:
043626,000754: # THE FOLLOWING OPERATIONS ARE PROVIDED FOR ADDING TO AND SUBTRACTING FROM THE MULTI-PURPOSE ACCUMULATOR
043627,000755: # MPAC:
043628,000756:
043629,000757: # 1. DAD DOUBLE PRECISION ADD.
043630,000758: # 2. DSU DOUBLE PRECISION SUBTRACT.
043631,000759: # 3. BDSU DOUBLE PRECISION SUBTRACT FROM.
043632,000760: # 4. TAD TRIPLE PRECISION ADD.
043633,000761: # 5. VAD VECTOR ADD.
043634,000762: # 6. VSU VECTOR SUBTRACT.
043635,000763: # 7. BVSU VECTOR SUBTRACT FROM.
043636,000764: # THE INTERPRETIVE OVERFLOW INDICATOR OVFIND IS SET NON-ZERO IF OVERFLOW OCCURS IN ANY OF THE ABOVE.
043637,000765:
043638,000766: 6747 34735 VSU CAF BIT15 # CHANGES 0 TO DCS.
043639,000767: 6750 16752 TCF +2
043640,000768:
043641,000769: 6751 34355 VAD CAF PRIO30 # CHANGES 0 TO DCA.
043642,000770: 6752 26116 ADS ADDRWD
043643,000771: 6753 00006 EXTEND
043644,000772: 6754 50116 INDEX ADDRWD
043645,000773: 6755 00003 READ HISCALAR # DCA 2 OR DCS 2
043646,000774: 6756 20160 DAS MPAC +3
043647,000775: 6757 00006 EXTEND # CHECK OVERFLOW.
043648,000776: 6760 16762 BZF +2
043649,000777: 6761 07014 TC OVERFLWY
043650,000778:
043651,000779: 6762 00006 EXTEND
043652,000780: 6763 50116 INDEX ADDRWD
043653,000781: 6764 00005 READ CHAN5 # DCA 4 OR DCS 4
043654,000782: 6765 20162 DAS MPAC +5
043655,000783: 6766 00006 EXTEND
043656,000784: 6767 16771 BZF +2
043657,000785: 6770 07011 TC OVERFLWZ
043658,000786:
043659,000787: 6771 00006 EXTEND
043660,000788: 6772 50116 INDEX ADDRWD
043661,000789: 6773 00001 READ LCHAN # DCA 0 OR DCS 0
043662,000790: 6774 17000 TCF ENDVXV
043663,000791:
043664,000792: 6775 00006 DAD EXTEND
043665,000793: 6776 50116 INDEX ADDRWD
043666,000794: 6777 30001 DCA 0
043667,000795: 7000 20155 ENDVXV DAS MPAC # VXV FINISHES HERE.
043668,000796: 7001 00006 EXTEND
043669,000797: 7002 16061 BZF DANZIG
043670,000798:
|
|
Page 1027
|
043672,000800: 7003 07017 SETOVF TC OVERFLOW
043673,000801: 7004 16061 TCF DANZIG
043674,000802:
|
|
Page 1028
|
043676,000804: 7005 00006 DSU EXTEND
043677,000805: 7006 50116 INDEX ADDRWD
043678,000806: 7007 40001 DCS 0
043679,000807: 7010 17000 TCF ENDVXV
043680,000808:
043681,000809: 7011 54001 OVERFLWZ TS L # ENTRY FOR THIRD COMPONENT.
043682,000810: 7012 34756 CAF FIVE
043683,000811: 7013 17016 TCF +3
043684,000812:
043685,000813: 7014 54001 OVERFLWY TS L # ENTRY FOR SECOND COMPONENT.
043686,000814: 7015 36245 CAF THREE
043687,000815: 7016 56001 XCH L
043688,000816:
043689,000817: 7017 50000 OVERFLOW INDEX A # ENTRY FOR 1ST COMP OR DP (L=0).
043690,000818: 7020 44734 CS LIMITS # PICK UP POSMAX OR NEGMAX.
043691,000819: 7021 54130 TS BUF
043692,000820: 7022 00006 EXTEND
043693,000821: 7023 24000 AUG A # FORCE OVERFLOW.
043694,000822: 7024 50001 INDEX L
043695,000823: 7025 26155 ADS MPAC +1
043696,000824: 7026 54007 TS 7
043697,000825: 7027 34755 CAF ZERO
043698,000826: 7030 60130 AD BUF
043699,000827: 7031 50001 INDEX L
043700,000828: 7032 26154 ADS MPAC
043701,000829: 7033 54007 TS 7
043702,000830: 7034 00002 TC Q # NO OVERFLOW EXIT.
043703,000831: 7035 17152 TCF SETOVF2 # SET OVFIND AND EXIT.
043704,000832:
043705,000833: 7036 00006 BVSU EXTEND
043706,000834: 7037 50116 INDEX ADDRWD
043707,000835: 7040 30003 DCA 2
043708,000836: 7041 52160 DXCH MPAC +3
043709,000837: 7042 00006 EXTEND
043710,000838: 7043 40001 DCOM
043711,000839: 7044 20160 DAS MPAC +3
043712,000840: 7045 00006 EXTEND
043713,000841: 7046 17050 BZF +2
043714,000842: 7047 07014 TC OVERFLWY
043715,000843:
043716,000844: 7050 00006 EXTEND
043717,000845: 7051 50116 INDEX ADDRWD
043718,000846: 7052 30005 DCA 4
043719,000847: 7053 52162 DXCH MPAC +5
043720,000848: 7054 00006 EXTEND
043721,000849: 7055 40001 DCOM
043722,000850: 7056 20162 DAS MPAC +5
043723,000851: 7057 00006 EXTEND
043724,000852: 7060 17062 BZF +2
043725,000853: 7061 07011 TC OVERFLWZ
043726,000854:
|
|
Page 1029
|
043728,000856: 7062 00006 BDSU EXTEND
043729,000857: 7063 50116 INDEX ADDRWD
043730,000858: 7064 30001 DCA 0
043731,000859: 7065 52155 DXCH MPAC
043732,000860: 7066 00006 EXTEND
043733,000861: 7067 40001 DCOM
043734,000862: 7070 17000 TCF ENDVXV
043735,000863:
|
|
Page 1030
|
043737,000865: # TRIPLE PRECISION ADD ROUTINE.
043738,000866:
043739,000867: 7071 00006 TAD EXTEND
043740,000868: 7072 50116 INDEX ADDRWD
043741,000869: 7073 30002 DCA 1 # ADD MINOR PARTS FIRST.
043742,000870: 7074 20156 DAS MPAC +1
043743,000871: 7075 50116 INDEX ADDRWD
043744,000872: 7076 60000 AD 0
043745,000873: 7077 60154 AD MPAC
043746,000874: 7100 54154 TS MPAC
043747,000875: 7101 16061 TCF DANZIG
043748,000876:
043749,000877: 7102 17003 TCF SETOVF # SET OVFIND IF SUCH OCCURS.
043750,000878:
|
|
Page 1031
|
043752,000880: # ARITHMETIC SUBROUTINES REQUIRED IN FIXED-FIXED.
043753,000881: # 1. DMPSUB DOUBLE PRECISION MULTIPLY. MULTIPLY THE CONTENTS OF MPAC,+1 BY THE DP WORD WHOSE ADDRESS
043754,000882: # IS IN ADDRWD AND LEAVE A TRIPLE PRECISION RESULT IN MPAC.
043755,000883: # 2. ROUNDSUB ROUND THE TRIPLE PRECISON CONTENTS OF MPAC TO DOUBLE PRECISION.
043756,000884: # 3. DOTSUB TAKE THE DOT PRODUCT OF THE VECTOR IN MPAC AND THE VECTOR WHOSE ADDRESS IS IN ADDRWD
043757,000885: # AND LEAVE THE TRIPLE PRECISION RESULT IN MPAC.
043758,000886: # 4. POLY USING THE CONTENTS OF MPAC AS A DP ARGUMENT, EVALUATE THE POLYNOMIAL WHOSE DEGREE AND
043759,000887: # COEFFICIENTS IMMEDIATELY FOLLOW THE TC POLY INSTRUCTION (SEE ROUTINE FOR DETAILS.)
043760,000888:
043761,000889: 7103 50002 DMP INDEX Q # BASIC SUBROUTINE FOR USE BY PINBALL, ETC
043762,000890: 7104 30000 CAF 0 # ADRES OF ARGUMENT FOLLOWS TC DMP .
043763,000891: 7105 24002 INCR Q
043764,000892: 7106 54116 -1 TS ADDRWD # (PROLOGUE FOR SETTING ADDRWD.)
043765,000893:
043766,000894: 7107 50116 DMPSUB INDEX ADDRWD # GET MINOR PART OF OPERAND AT C(ADDRWD).
043767,000895: 7110 30001 CA 1
043768,000896: 7111 54156 TS MPAC +2 # THIS WORKS FOR SQUARING MPAC AS WELL.
043769,000897: 7112 34755 CAF ZERO # SET MPAC +1 TO ZERO SO WE CAN ACCUMULATE
043770,000898: 7113 56155 XCH MPAC +1 # THE PARTIAL PRODUCTS WITH DAS
043771,000899: 7114 54135 TS MPTEMP # INSTRUCTIONS.
043772,000900: 7115 00006 EXTEND
043773,000901: 7116 70156 MP MPAC +2 # MINOR OF MPAC X MINOR OF C(ADDRWD).
043774,000902:
043775,000903: 7117 56156 XCH MPAC +2 # DISCARD MINOR PART OF ABOVE RESULT AND
043776,000904: 7120 00006 EXTEND # FORM MAJOR OF MPAC X MINOR OF C(ADDRWD).
043777,000905: 7121 70154 MP MPAC
043778,000906: 7122 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW.
043779,000907:
043780,000908: 7123 50116 INDEX ADDRWD # GET MAJOR PART OF ARGUMENT AT C(ADDRWD).
043781,000909: 7124 30000 CA 0
043782,000910: 7125 56135 XCH MPTEMP # SAVE AND BRING OUT MINOR OF MPAC.
043783,000911: 7126 00006 DMPSUB2 EXTEND
043784,000912: 7127 70135 MP MPTEMP # MAJOR OF C(ADDRWD) X MINOR OF MPAC.
043785,000913: 7130 20156 DAS MPAC +1 # ACCUMULATE, SETTING A TO NET OVERFLOW.
043786,000914:
043787,000915: 7131 56154 XCH MPAC # SETTING MPAC TO 0 OR +-1.
043788,000916: 7132 00006 EXTEND
043789,000917: 7133 70135 MP MPTEMP # MAJOR OF MPAC X MAJOR OF C(ADDRWD).
043790,000918: 7134 20155 DAS MPAC # GUARANTEED NO OVERFLOW.
043791,000919: 7135 00002 TC Q # 49 MCT = .573 MS. INCLUDING RETURN.
043792,000920:
|
|
Page 1032
|
043794,000922: # ROUND MPAC TO DOUBLE PRECISION, SETTING OVFIND ON THE RARE EVENT OF OVERFLOW.
043795,000923:
043796,000924: 7136 34755 ROUNDSUB CAF ZERO # SET MPAC +2 = 0 FOR SCALARS AND CHANGE
043797,000925: 7137 54163 +1 TS MODE # MODE TO DP.
043798,000926:
043799,000927: 7140 56156 VROUND XCH MPAC +2 # BUT WE NEEDNT TAKE THE TIME FOR VECTORS.
043800,000928: 7141 60000 DOUBLE
043801,000929: 7142 54001 TS L
043802,000930: 7143 00002 TC Q
043803,000931:
043804,000932: 7144 60155 AD MPAC +1 # ADD ROUNDING BIT IF MPAC +2 WAS GREATER
043805,000933: 7145 54155 TS MPAC +1 # THAN .5 IN MAGNITUDE.
043806,000934: 7146 00002 TC Q
043807,000935:
043808,000936: 7147 60154 AD MPAC # PROPAGATE INTERFLOW.
043809,000937: 7150 54154 TS MPAC
043810,000938: 7151 00002 TC Q
043811,000939:
043812,000940: 7152 54121 SETOVF2 TS OVFIND # (RARE).
043813,000941: 7153 00002 TC Q
043814,000942:
|
|
Page 1033
|
043816,000944: # THE DOT PRODUCT SUBROUTINE USUALLY FORMS THE DOT PRODUCT OF THE VECTOR IN MPAC WITH A STANDARD SIX
043817,000945: # REGISTER VECTOR WHOSE ADDRESS IS IN ADDRWD. IN THIS CASE C(DOTINC) ARE SET TO 2. VXM, HOWEVER, SETS C(DOTINC) TO
043818,000946: # 6 SO THAT DOTSUB DOTS MPAC WITH A COLUMN VECTOR OF THE MATRIX IN QUESTION IN THIS CASE.
043819,000947:
043820,000948: 7154 34752 PREDOT CAF TWO # PROLOGUE TO SET DOTINC TO 2.
043821,000949: 7155 54136 TS DOTINC
043822,000950:
043823,000951: 7156 00006 DOTSUB EXTEND
043824,000952: 7157 22137 QXCH DOTRET # SAVE RETURN.
043825,000953: 7160 07107 TC DMPSUB # DOT X COMPONENTS.
043826,000954: 7161 52160 DXCH MPAC +3 # POSITION Y COMPONENT OF MPAC FOR
043827,000955: 7162 52155 DXCH MPAC # MULTIPLICATION WHILE SAVING RESULT IN
043828,000956: 7163 52131 DXCH BUF # THREE WORD BUFFER, BUF.
043829,000957: 7164 30156 CA MPAC +2
043830,000958: 7165 54132 TS BUF +2
043831,000959:
043832,000960: 7166 30136 CA DOTINC # ADVANCE ADDRWD TO Y COMPONENT OF
043833,000961: 7167 26116 ADS ADDRWD # OTHER ARGUMENT.
043834,000962: 7170 07107 TC DMPSUB
043835,000963: 7171 52156 DXCH MPAC +1 # ACCUMULATE PARTIAL PRODUCTS.
043836,000964: 7172 20132 DAS BUF +1
043837,000965: 7173 60154 AD MPAC
043838,000966: 7174 60130 AD BUF
043839,000967: 7175 54130 TS BUF
043840,000968: 7176 17200 TCF +2
043841,000969: 7177 54121 TS OVFIND # IF OVERFLOW OCCURS.
043842,000970:
043843,000971: 7200 52162 DXCH MPAC +5 # MULTIPLY Z COMPONENTS.
043844,000972: 7201 52155 DXCH MPAC
043845,000973: 7202 30136 CA DOTINC
043846,000974: 7203 26116 ADS ADDRWD
043847,000975: 7204 07107 TC DMPSUB
043848,000976: 7205 52132 ENDDOT DXCH BUF +1 # LEAVE FINAL ACCUMULATION IN MPAC.
043849,000977: 7206 20156 DAS MPAC +1
043850,000978: 7207 60154 AD MPAC
043851,000979: 7210 60130 AD BUF
043852,000980: 7211 54154 TS MPAC
043853,000981: 7212 00137 TC DOTRET
043854,000982:
043855,000983: 7213 07017 TC OVERFLOW # ON OVERFLOW HERE.
043856,000984: 7214 00137 TC DOTRET
043857,000985:
|
|
Page 1034
|
043859,000987: # DOUBLE PRECISION POLYNOMIAL EVALUATOR
043860,000988: # N N-1
043861,000989: # THIS ROUTINE EVALUATES A X + A X + ... + A X + A LEAVING THE DP RESULT IN MPAC ON EXIT.
043862,000990: # N N-1 1 0
043863,000991:
043864,000992: # THE ROUTINE HAS TWO ENTRIES
043865,000993:
043866,000994: # 1. ENTRY THRU POWRSERS. THE COEFFICIENTS MAY BE EITHER IN FIXED OR ERASABLE, THE CALL IS BY
043867,000995: # TC POWRSERS, AND THE RETURN IS TO LOC(TC POWRSERS)+1. THE ENTERING DATA MUST BE AS FOLLOWS
043868,000996:
043869,000997: # A SP LOC-3 ADDRESS FOR REFERENCING COEF TABLE
043870,000998: # L SP N-1 N IS THE DEGREE OF THE POWER SERIES
043871,000999: # MPAC DP X ARGUMENT
043872,001000: # LOC-2N DP A(0)
043873,001001: # ...
043874,001002: # LOC DP A(N)
043875,001003:
043876,001004: # 2. ENTRY THRU POLY. THE CALL TO POLY AND THE ENTERING DATA MUST BE AS FOLLOWS
043877,001005:
043878,001006: # MPAC DP X ARGUMENT
043879,001007: # LOC TC POLY
043880,001008: # LOC+1 SP N-1
043881,001009: # LOC+2 DP A(0)
043882,001010: # ...
043883,001011: # LOC+2N+2 DP A(N) RETURN IS TO LOC+2N+4
043884,001012:
043885,001013: 7215 00006 POWRSERS EXTEND
043886,001014: 7216 22141 QXCH POLYRET # RETURN ADDRESS
043887,001015: 7217 54117 TS POLISH # POWER SERIES ADDRESS
043888,001016: 7220 22140 LXCH POLYCNT # N-1 TO COUNTER
043889,001017: 7221 17232 TCF POLYCOM # SKIP SET UP BY POLY
043890,001018:
043891,001019: 7222 50002 POLY INDEX Q
043892,001020: 7223 30000 CAF 0
043893,001021: 7224 54140 TS POLYCNT # N-1 TO COUNTER
043894,001022: 7225 60000 DOUBLE
043895,001023: 7226 60002 AD Q
043896,001024: 7227 54117 TS POLISH # L(A(N))-3 TO POLISH
043897,001025: 7230 64756 AD FIVE
043898,001026: 7231 54141 TS POLYRET # STORE RETURN ADDRESS
043899,001027:
043900,001028: 7232 36273 POLYCOM CAF LVBUF # INCOMING X WILL BE MOVED TO VBUF, SO
043901,001029: 7233 54116 TS ADDRWD # SET ADDRWD SO DMPSUB WILL MPY BY VBUF.
043902,001030:
043903,001031: 7234 00006 EXTEND
043904,001032: 7235 50117 INDEX POLISH
043905,001033: 7236 30004 DCA 3
043906,001034:
|
|
Page 1035
|
043908,001036: 7237 52155 DXCH MPAC # LOAD A(N) INTO MPAC,
043909,001037: 7240 52123 DXCH VBUF # SAVING X IN VBUF
043910,001038: 7241 17245 TCF POLY2
043911,001039:
043912,001040: 7242 54140 POLYLOOP TS POLYCNT # SAVE DECREMENTED LOOP COUNTER
043913,001041: 7243 44752 CS TWO
043914,001042: 7244 26117 ADS POLISH # REGRESS COEFFICIENT POINTER
043915,001043:
043916,001044: 7245 07107 POLY2 TC DMPSUB # MULTIPLY BY X
043917,001045: 7246 00006 EXTEND
043918,001046: 7247 50117 INDEX POLISH
043919,001047: 7250 30002 DCA 1 # ADD IN NEXT COEFFICIENT
043920,001048: 7251 20155 DAS MPAC # USERS RESPONSIBILITY TO ASSURE NO OVFLOW
043921,001049:
043922,001050: 7252 10140 CCS POLYCNT
043923,001051: 7253 17242 TCF POLYLOOP
043924,001052: 7254 00141 TC POLYRET # RETURN CALLER
043925,001053:
|
|
Page 1036
|
043927,001055: # MISCELLANEOUS MULTI-PRECISION ROUTINES REQUIRED IN FIXED-FIXED BUT NOT USED BY THE INTERPRETER.
043928,001056:
043929,001057: 7255 34755 DPAGREE CAF ZERO # DOUBLE PRECISION ENTRY -
043930,001058: 7256 54156 TS MPAC +2 # ZERO LOW-ORDER WORD
043931,001059:
043932,001060: 7257 22002 TPAGREE LXCH Q # FORCE SIGN AGREEMENT AMONG THE TRIPLE
043933,001061: 7260 06723 TC BRANCH # PRECISION CONTENTS OF MPAC. RETURNING
043934,001062: 7261 17265 TCF ARG+ # WITH SIGNUM OF THE INPUT IN A.
043935,001063: 7262 17305 TCF ARGZERO
043936,001064:
043937,001065: 7263 44733 CS POSMAX # IF NEGATIVE.
043938,001066: 7264 17266 TCF +2
043939,001067:
043940,001068: 7265 34733 ARG+ CAF POSMAX
043941,001069: 7266 54002 TS Q
043942,001070: 7267 00006 EXTEND
043943,001071: 7270 24000 AUG A # FORMS +-1.0.
043944,001072: 7271 60156 AD MPAC +2
043945,001073: 7272 54156 TS MPAC +2
043946,001074: 7273 34755 CAF ZERO
043947,001075: 7274 60002 AD Q
043948,001076: 7275 60155 AD MPAC +1
043949,001077: 7276 54155 TS MPAC +1
043950,001078: 7277 34755 CAF ZERO
043951,001079: 7300 60002 AD Q # Q STILL HAS POSMAX OR NEGMAX IN IT.
043952,001080: 7301 60154 AD MPAC
043953,001081: 7302 54154 ARGZERO2 TS MPAC # ALWAYS SKIPPING UNLESS ARGZERO.
043954,001082: 7303 54155 TS MPAC +1
043955,001083: 7304 00001 TC L # RETURN VIA L.
043956,001084:
043957,001085: 7305 54156 ARGZERO TS MPAC +2 # SET ALL THREE MPAC REGISTERS TO ZERO.
043958,001086: 7306 17302 TCF ARGZERO2
043959,001087:
043960,001088: # SHORTMP MULTIPLIES THE TP CONTENTS OF MPAC BY THE SINGLE PRECISION NUMBER ARRIVING IN A.
043961,001089:
043962,001090: 7307 54135 SHORTMP TS MPTEMP
043963,001091: 7310 00006 EXTEND
043964,001092: 7311 70156 MP MPAC +2
043965,001093: 7312 54156 TS MPAC +2
043966,001094: 7313 34755 SHORTMP2 CAF ZERO # SO SUBSEQUENT DAS WILL WORK.
043967,001095: 7314 56155 XCH MPAC +1
043968,001096: 7315 17126 TCF DMPSUB2
043969,001097:
|
|
Page 1037
|
043971,001099: # DMPNSUB MULTIPLIES THE DP FRACTION ARRIVING IN MPAC BY THE SP
043972,001100: # INTEGER ARRIVING IN A. THE DP PRODUCT DEPARTS BOTH IN MPAC AND IN
043973,001101: # A AND L. NOTE THAT DMPNSUB NORMALLY INCREASES THE MAGNITUDE OF THE
043974,001102: # CONTENTS OF MPAC. THE CUSTOMER MUST INSURE THAT B(A) X B(MPAC,MPAC+1)
043975,001103: # AND B(A) X B(MPAC) ARE LESS THAN 1 IN MAGNITUDE, WHERE B, AS IS OBVIOUS,
043976,001104: # INDICATES THE ARRIVING CONTENTS.
043977,001105:
043978,001106: 7316 54135 DMPNSUB TS DMPNTEMP
043979,001107: 7317 00006 EXTEND
043980,001108: 7320 70155 MP MPAC +1
043981,001109: 7321 52155 DXCH MPAC # LOW PRODUCT TO MPAC, HIGH FACTOR TO A
043982,001110: 7322 00006 EXTEND
043983,001111: 7323 70135 MP DMPNTEMP
043984,001112: 7324 30001 CA L
043985,001113: 7325 26154 ADS MPAC # COMPLETING THE PRODUCT IN MPAC
043986,001114: 7326 00006 EXTEND
043987,001115: 7327 30155 DCA MPAC # BRINGING THE PRODUCT INTO A AND L
043988,001116: 7330 00002 TC Q
043989,001117:
|
|
Page 1038
|
043991,001119: # MISCELLANEOUS VECTOR OPERATIONS. INCLUDED HERE ARE THE FOLLOWING:
043992,001120: # 1. DOT DP VECTOR DOT PRODUCT.
043993,001121: # 2. VXV DP VECTOR CROSS PRODUCT.
043994,001122: # 3. VXSC DP VECTOR TIMES SCALAR.
043995,001123: # 4. V/SC DP VECTOR DIVIDED BY SCALAR.
043996,001124: # 5. VPROJ DP VECTOR PROJECTION. ( (MPAC.X)MPAC ).
043997,001125: # 6. VXM DP VECTOR POST-MULTIPLIED BY MATRIX.
043998,001126: # 7. MXV DP VECTOR PRE-MULTIPLIED BY MATRIX.
043999,001127:
044000,001128: 7331 07154 DOT TC PREDOT # DO THE DOT PRODUCT AND EXIT, CHANGING
044001,001129: 7332 34755 DMODE CAF ZERO # THE MODE TO DP SCALAR.
044002,001130: 7333 16060 TCF NEWMODE
044003,001131:
044004,001132: 7334 34752 MXV CAF TWO # SET UP MATINC AND DOTINC FOR ROW
044005,001133: 7335 54140 TS MATINC # VECTORS.
044006,001134: 7336 17342 TCF VXM/MXV # GO TO COMMON PORTION.
044007,001135:
044008,001136: 7337 44363 VXM CS TEN # SET MATINC AND DOTINC TO REFER TO MATRIX
044009,001137: 7340 54140 TS MATINC # AS THREE COLUMN VECTORS.
044010,001138: 7341 36242 CAF SIX
044011,001139:
|
|
Page 1039
|
044013,001141: # COMMON PORTION OF MXV AND VXM.
044014,001142:
044015,001143: 7342 54136 VXM/MXV TS DOTINC
044016,001144: # ITRACE (2) REFERS TO "VXM/MXV".
044017,001145: 7343 07532 TC MPACVBUF # SAVE VECTOR IN MPAC FOR FURTHER USE.
044018,001146:
044019,001147: 7344 07156 TC DOTSUB # GO DOT TO GET X COMPONENT OF ANSWER.
044020,001148: 7345 00006 EXTEND
044021,001149: 7346 30123 DCA VBUF # MOVE MPAC VECTOR BACK INTO MPAC, SAVING
044022,001150: 7347 52155 DXCH MPAC # NEW X COMPONENT IN BUF2.
044023,001151: 7350 52134 DXCH BUF2
044024,001152: 7351 00006 EXTEND
044025,001153: 7352 30125 DCA VBUF +2
044026,001154: 7353 52160 DXCH MPAC +3
044027,001155: 7354 00006 EXTEND
044028,001156: 7355 30127 DCA VBUF +4
044029,001157: 7356 52162 DXCH MPAC +5
044030,001158: 7357 30140 CA MATINC # INITIALIZE ADDRWD FOR NEXT DOT PRODUCT.
044031,001159: 7360 26116 ADS ADDRWD # FORMS BASE ADDRESS OF NEXT COLUMN(ROW).
044032,001160:
044033,001161: 7361 07156 TC DOTSUB
044034,001162: 7362 52123 DXCH VBUF # MOVE GIVEN VECTOR BACK TO MPAC, SAVING Y
044035,001163: 7363 52155 DXCH MPAC # COMPONENT OF ANSWER IN VBUF +2.
044036,001164: 7364 52125 DXCH VBUF +2
044037,001165: 7365 52160 DXCH MPAC +3
044038,001166: 7366 52127 DXCH VBUF +4
044039,001167: 7367 52162 DXCH MPAC +5
044040,001168: 7370 30140 CA MATINC # FORM ADDRESS OF LAST COLUMN OR ROW.
044041,001169: 7371 26116 ADS ADDRWD
044042,001170:
044043,001171: 7372 07156 TC DOTSUB
044044,001172: 7373 52134 DXCH BUF2 # ANSWER NOW COMPLETE. PUT COMPONENTS INTO
044045,001173: 7374 52155 DXCH MPAC # PROPER MPAC REGISTERS.
044046,001174: 7375 52162 DXCH MPAC +5
044047,001175: 7376 52125 DXCH VBUF +2
044048,001176: 7377 52160 DXCH MPAC +3
044049,001177: 7400 16061 TCF DANZIG # EXIT.
044050,001178:
|
|
Page 1040
|
044052,001180: # VXSC - VECTOR TIMES SCALAR.
044053,001181:
044054,001182: 7401 10163 VXSC CCS MODE # TEST PRESENT MODE.
044055,001183: 7402 17430 TCF DVXSC # SEPARATE ROUTINE WHEN SCALAR IS IN MPAC.
044056,001184: 7403 17430 TCF DVXSC
044057,001185:
044058,001186: 7404 07107 VVXSC TC DMPSUB # COMPUTE X COMPONENT
044059,001187: 7405 07140 TC VROUND # AND ROUND IT.
044060,001188: 7406 52160 DXCH MPAC +3 # PUT Y COMPONENT INTO MPAC SAVING MPAC IN
044061,001189: 7407 52155 DXCH MPAC # MPAC +3.
044062,001190: 7410 52160 DXCH MPAC +3
044063,001191:
044064,001192: 7411 07107 TC DMPSUB # DO SAME FOR Y AND Z COMPONENTS.
044065,001193: 7412 07140 TC VROUND
044066,001194: 7413 52162 DXCH MPAC +5
044067,001195: 7414 52155 DXCH MPAC
044068,001196: 7415 52162 DXCH MPAC +5
044069,001197:
044070,001198: 7416 07107 TC DMPSUB
044071,001199: 7417 07140 TC VROUND
044072,001200: 7420 52155 VROTATEX DXCH MPAC # EXIT USED TO RESTORE MPAC AFTER THIS
044073,001201: 7421 52162 DXCH MPAC +5 # TYPE OF ROTATION. CALLED BY VECTOR SHIFT
044074,001202: 7422 52160 DXCH MPAC +3 # RIGHT, V/SC, ETC.
044075,001203: 7423 52155 DXCH MPAC
044076,001204: 7424 16061 TCF DANZIG
044077,001205:
|
|
Page 1041
|
044079,001207: # DP VECTOR PROJECTION ROUTINE.
044080,001208:
044081,001209: 7425 07154 VPROJ TC PREDOT # (MPAC.X)MPAC IS COMPUTED AND LEFT IN
044082,001210: 7426 44751 CS FOUR # MPAC. DO DOT AND FALL INTO DVXSC.
044083,001211: 7427 26116 ADS ADDRWD
044084,001212:
044085,001213: # VXSC WHEN SCALAR ARRIVES IN MPAC AND VECTOR IS AT X.
044086,001214:
044087,001215: 7430 00006 DVXSC EXTEND # SAVE SCALAR IN MPAC +3 AND GET X
044088,001216: 7431 30155 DCA MPAC # COMPONENT OF ANSWER.
044089,001217: 7432 52160 DXCH MPAC +3
044090,001218: 7433 07107 TC DMPSUB
044091,001219: 7434 07140 TC VROUND
044092,001220:
044093,001221: 7435 34752 CAF TWO # ADVANCE ADDRWD TO Y COMPONENT OF X.
044094,001222: 7436 26116 ADS ADDRWD
044095,001223: 7437 00006 EXTEND
044096,001224: 7440 30160 DCA MPAC +3 # PUT SCALAR BACK INTO MPAC AND SAVE
044097,001225: 7441 52155 DXCH MPAC # X RESULT IN MPAC +5.
044098,001226: 7442 52162 DXCH MPAC +5
044099,001227: 7443 07107 TC DMPSUB
044100,001228: 7444 07140 TC VROUND
044101,001229:
044102,001230: 7445 34752 CAF TWO
044103,001231: 7446 26116 ADS ADDRWD # TO Z COMPONENT.
044104,001232: 7447 52160 DXCH MPAC +3 # BRING SCALAR BACK, PUTTING Y RESULT IN
044105,001233: 7450 52155 DXCH MPAC # THE PROPER PLACE.
044106,001234: 7451 52160 DXCH MPAC +3
044107,001235: 7452 07107 TC DMPSUB
044108,001236: 7453 07140 TC VROUND
044109,001237:
044110,001238: 7454 52155 DXCH MPAC # PUT Z COMPONENT IN PROPER PLACE, ALSO
044111,001239: 7455 52162 DXCH MPAC +5 # POSITIONING X.
044112,001240: 7456 52155 DXCH MPAC
044113,001241:
044114,001242: 7457 16521 TCF VMODE # MODE HAS CHANGED TO VECTOR.
044115,001243:
|
|
Page 1042
|
044117,001245: # THE VECTOR CROSS PRODUCT ROUTINE CALCULATES (X M -X M ,X M -X M ,X M -X M ) WHERE M IS THE VECTOR IN
044118,001246: # 3 2 2 3 1 3 3 1 2 1 1 2
044119,001247: # MPAC AND X THE VECTOR AT THE GIVEN ADDRESS.
044120,001248:
044121,001249: 7460 00006 VXV EXTEND
044122,001250: 7461 30162 DCA MPAC +5 # FORM UP M3X1, LEAVING M1 IN VBUF.
044123,001251: 7462 52155 DXCH MPAC
044124,001252: 7463 52123 DXCH VBUF
044125,001253: 7464 07107 TC DMPSUB # BY X1.
044126,001254:
044127,001255: 7465 00006 EXTEND
044128,001256: 7466 40160 DCS MPAC +3 # CALCULATE -X1M2, SAVING X1M3 IN VBUF +2.
044129,001257: 7467 52155 DXCH MPAC
044130,001258: 7470 52125 DXCH VBUF +2
044131,001259: 7471 07107 TC DMPSUB
044132,001260:
044133,001261: 7472 34752 CAF TWO # ADVANCE ADDRWD TO X2.
044134,001262: 7473 26116 ADS ADDRWD
044135,001263: 7474 00006 EXTEND
044136,001264: 7475 40162 DCS MPAC +5 # PREPARE TO GET -X2M3, SAVING -X1M2 IN
044137,001265: 7476 52155 DXCH MPAC # MPAC +5.
044138,001266: 7477 52162 DXCH MPAC +5
044139,001267: 7500 07107 TC DMPSUB
044140,001268:
044141,001269: 7501 00006 EXTEND
044142,001270: 7502 30123 DCA VBUF # GET X2M1, SAVING -X2M3 IN VBUF +4.
044143,001271: 7503 52155 DXCH MPAC
044144,001272: 7504 52127 DXCH VBUF +4
044145,001273: 7505 07107 TC DMPSUB
044146,001274:
044147,001275: 7506 34752 CAF TWO # ADVANCE ADDRWD TO X3.
044148,001276: 7507 26116 ADS ADDRWD
044149,001277: 7510 00006 EXTEND
044150,001278: 7511 40123 DCS VBUF # GET -X3M1, ADDING X2M1 TO MPAC +5 TO
044151,001279: 7512 52155 DXCH MPAC # COMPLETE THE Z COMPONENT OF THE ANSWER.
044152,001280: 7513 20162 DAS MPAC +5
044153,001281:
044154,001282: 7514 00006 EXTEND
044155,001283: 7515 17517 BZF +2
044156,001284: 7516 07011 TC OVERFLWZ
044157,001285:
044158,001286: 7517 07107 TC DMPSUB
044159,001287: 7520 52125 DXCH VBUF +2 # MOVE X1M3 TO MPAC +3 SETTING UP FOR X3M2
044160,001288: 7521 52160 DXCH MPAC +3 # AND ADD -X3M1 TO MPAC +3 TO COMPLETE THE
044161,001289: 7522 52155 DXCH MPAC # Y COMPONENT OF THE RESULT.
044162,001290: 7523 20160 DAS MPAC +3
044163,001291:
044164,001292: 7524 00006 EXTEND
044165,001293: 7525 17527 BZF +2
|
|
Page 1043
|
044167,001295: 7526 07014 TC OVERFLWY
044168,001296:
044169,001297: 7527 07107 TC DMPSUB
044170,001298: 7530 52127 DXCH VBUF +4 # GO ADD -X2M3 TO X3M2 TO COMPLETE THE X
044171,001299: 7531 17000 TCF ENDVXV # COMPONENT (TAIL END OF DAD).
044172,001300:
044173,001301: # THE MPACVBUF SUBROUTINE SAVES THE VECTOR IN MPAC IN VBUF WITHOUT CLOBBERING MPAC.
044174,001302:
044175,001303: 7532 00006 MPACVBUF EXTEND # CALLED BY MXV, VXM, AND UNIT.
044176,001304: 7533 30155 DCA MPAC
044177,001305: 7534 52123 DXCH VBUF
044178,001306: 7535 00006 EXTEND
044179,001307: 7536 30160 DCA MPAC +3
044180,001308: 7537 52125 DXCH VBUF +2
044181,001309: 7540 00006 EXTEND
044182,001310: 7541 30162 DCA MPAC +5
044183,001311: 7542 52127 DXCH VBUF +4
044184,001312: 7543 00002 TC Q # RETURN TO CALLER.
044185,001313:
044186,001314: # DOUBLE PRECISION SIGN AGREE ROUTINE. ARRIVE WITH INPUT IN A+L. OUTPUT IS IN A + L.
044187,001315:
044188,001316: 7544 10000 ALSIGNAG CCS A # TEST UPPER PART.
044189,001317: 7545 17551 TCF UPPOS # IT IS POSITIVE
044190,001318: 7546 00002 TC Q # ZERO
044191,001319: 7547 17561 TCF UPNEG # NEGATIVE
044192,001320: 7550 00002 TC Q # ZERO
044193,001321:
044194,001322: 7551 56001 UPPOS XCH L # SAVE DECREMENTED UPPER PART.
044195,001323: 7552 64736 AD HALF
044196,001324: 7553 64736 AD HALF
044197,001325: 7554 54000 TS A # SKIPS ON OVERFLOW
044198,001326: 7555 17557 TCF +2
044199,001327: 7556 24001 INCR L # RESTORE UPPER TO ROIGINAL VALUE
044200,001328: 7557 56001 XCH L # SWAP A + L BACK.
044201,001329: 7560 00002 TC Q
044202,001330:
044203,001331: 7561 56001 UPNEG XCH L # SAVE COMPLEMENTED + DECREMENTED UPPER PT
044204,001332: 7562 64735 AD NEGMAX
044205,001333: 7563 67747 AD NEGONE
044206,001334: 7564 54000 TS A
044207,001335: 7565 17567 TCF +2 # DONT INCREMENT IF NO OVERFLOW.
044208,001336: 7566 24001 INCR L
044209,001337: 7567 56001 XCH L
044210,001338: 7570 40000 COM # MAKE NEGATIVE AGAIN.
044211,001339: 7571 00002 TC Q
044212,001340:
|
|
Page 1044
|
044214,001342: # INTERPRETIVE INSTRUCTIONS WHOSE EXECUTION CONSISTS OF PRINCIPALLY CALLING SUBROUTINES.
044215,001343:
044216,001344: 7572 07107 DMP1 TC DMPSUB # DMP INSTRUCTION.
044217,001345: 7573 16061 TCF DANZIG
044218,001346:
044219,001347: 7574 07107 DMPR TC DMPSUB
044220,001348: 7575 07137 TC ROUNDSUB +1 # (C(A) = +0).
044221,001349: 7576 16061 TCF DANZIG
044222,001350:
044223,001351: 7577 00006 DDV EXTEND
044224,001352: 7600 50116 INDEX ADDRWD # MOVE DIVIDEND INTO BUF.
044225,001353: 7601 30001 DCA 0
044226,001354: 7602 17607 TCF BDDV +4
044227,001355:
044228,001356: 7603 00006 BDDV EXTEND # MOVE DIVISOR INTO MPAC SAVING MPAC, THE
044229,001357: 7604 50116 INDEX ADDRWD # DIVIDEND, IN BUF.
044230,001358: 7605 30001 DCA 0
044231,001359: 7606 52155 DXCH MPAC
044232,001360: 7607 52131 +4 DXCH BUF
044233,001361: 7610 34755 CAF ZERO # DIVIDE ROUTINES IN BANK 0.
044234,001362: 7611 54004 TS FBANK
044235,001363: 7612 12353 TCF DDV/BDDV
044236,001364:
044237,001365: 7613 30116 SETPD CA ADDRWD # MUST SET TO WORK AREA, OR EBANK TROUBLE.
044238,001366: 7614 54166 TS PUSHLOC
044239,001367: 7615 16063 TCF NOIBNKSW # NO FBANK SWITCH REQUIRED.
044240,001368:
044241,001369: 7616 34755 TSLC CAF ZERO # SHIFTING ROUTINES LOCATED IN BANK 00.
044242,001370: 7617 54004 TS FBANK
044243,001371: 7620 12172 TCF TSLC2
044244,001372:
044245,001373: 7621 36074 GSHIFT CAF LOW7 # USED AS MASK AT GENSHIFT. THIS PROCESSES
044246,001374: 7622 54004 TS FBANK # ANY SHIFT INSTRUCTION (EXCEPT TSLC) WITH
044247,001375: 7623 12214 TCF GENSHIFT # AN ADDRESS (ROUTINES IN BANK 0).
044248,001376:
|
|
Page 1045
|
044250,001378: # THE FOLLOWING IS THE PROLOGUE TO V/SC. IF THE PRESENT MODE IS VECTOR, IT SAVES THE SCALAR AT X IN BUF
044251,001379: # AND CALLS THE V/SC ROUTINE IN BANK 0. IF THE PRESENT MODE IS SCALAR, IT MOVES THE VECTOR AT X INTO MPAC, SAVING
044252,001380: # THE SCALAR IN MPAC IN BUF BEFORE CALLING THE V/SC ROUTINE IN BANK 0.
044253,001381:
044254,001382: 7624 10163 V/SC CCS MODE
044255,001383: 7625 17636 TCF DV/SC # MOVE VECTOR INTO MPAC.
044256,001384: 7626 17636 TCF DV/SC
044257,001385:
044258,001386: 7627 00006 VV/SC EXTEND
044259,001387: 7630 50116 INDEX ADDRWD
044260,001388: 7631 30001 DCA 0
044261,001389: 7632 52131 V/SC1 DXCH BUF # IN BOTH CASES, VECTOR IS NOW IN MPAC AND
044262,001390: 7633 34755 CAF ZERO # SCALAR IN BUF.
044263,001391: 7634 54004 TS FBANK
044264,001392: 7635 12654 TCF V/SC2
044265,001393:
044266,001394: 7636 00006 DV/SC EXTEND
044267,001395: 7637 50116 INDEX ADDRWD
044268,001396: 7640 30003 DCA 2
044269,001397: 7641 52160 DXCH MPAC +3
044270,001398: 7642 00006 EXTEND
044271,001399: 7643 50116 INDEX ADDRWD
044272,001400: 7644 30005 DCA 4
044273,001401: 7645 52162 DXCH MPAC +5
044274,001402:
044275,001403: 7646 44753 CS ONE # CHANGE MODE TO VECTOR.
044276,001404: 7647 54163 TS MODE
044277,001405:
044278,001406: 7650 00006 EXTEND
044279,001407: 7651 50116 INDEX ADDRWD
044280,001408: 7652 30001 DCA 0
044281,001409: 7653 52155 DXCH MPAC
044282,001410: 7654 17632 TCF V/SC1 # FINISH PROLOGUE AT COMMON SECTION.
044283,001411:
|
|
Page 1046
|
044285,001413: # SIGN AND COMPLEMENT INSTRUCTIONS.
044286,001414:
044287,001415: 7655 50116 SIGN INDEX ADDRWD # CALL COMP INSTRUCTION IF WORD AT X IS
044288,001416: 7656 10000 CCS 0 # NEGATIVE NON-ZERO.
044289,001417: 7657 16061 TCF DANZIG
044290,001418: 7660 17662 TCF +2
044291,001419: 7661 17670 TCF COMP # DO THE COMPLEMENT.
044292,001420:
044293,001421: 7662 50116 INDEX ADDRWD
044294,001422: 7663 10001 CCSL CCS 1
044295,001423: 7664 16061 TCF DANZIG
044296,001424: 7665 16061 TCF DANZIG
044297,001425: 7666 17670 TCF COMP
044298,001426: 7667 16061 TCF DANZIG
044299,001427: 7670 00006 COMP EXTEND # COMPLEMENT DP MPAC IN EVERY CASE.
044300,001428: 7671 40155 DCS MPAC
044301,001429: 7672 52155 DXCH MPAC
044302,001430:
044303,001431: 7673 10163 CCS MODE # EITHER COMPLEMENT MPAC +3 OR THE REST OF
044304,001432: 7674 17705 TCF DCOMP # THE VECTOR ACCUMULATOR.
044305,001433: 7675 17705 TCF DCOMP
044306,001434:
044307,001435: 7676 00006 EXTEND # VECTOR COMPLEMENT.
044308,001436: 7677 40160 DCS MPAC +3
044309,001437: 7700 52160 DXCH MPAC +3
044310,001438: 7701 00006 EXTEND
044311,001439: 7702 40162 DCS MPAC +5
044312,001440: 7703 52162 DXCH MPAC +5
044313,001441: 7704 16061 TCF DANZIG
044314,001442:
044315,001443: 7705 40156 DCOMP CS MPAC +2
044316,001444: 7706 54156 TS MPAC +2
044317,001445: 7707 16061 TCF DANZIG
044318,001446:
|
|
Page 1047
|
044320,001448: # THE FOLLOWING SHORT SHIFT CODES REQUIRE NO ADDRESS WORD:
044321,001449: # 1. SR1 TO SR4 SCALAR SHIFT RIGHT.
044322,001450: # 2. SR1R TO SR4R SCALAR SHIFT RIGHT AND ROUND.
044323,001451: # 3. SL1 TO SL4 SCALAR SHIFT LEFT.
044324,001452: # 4. SL1R TO SL4R SCALAR SHIFT LEFT AND ROUND.
044325,001453: # 5. VSR1 TO VSR8 VECTOR SHIFT RIGHT (ALWAYS ROUNDS).
044326,001454: # 6. VSL1 TO VSL8 VECTOR SHIFT LEFT (NEVER ROUNDS).
044327,001455: # THE FOLLOWING CODES REQUIRE AN ADDRESS WHICH MAY BE INDEXED:*
044328,001456: # 1. SR SCALAR SHIFT RIGHT.
044329,001457: # 2. SRR SCALAR SHIFT RIGHT AND ROUND.
044330,001458: # 3. SL SCALAR SHIFT LEFT.
044331,001459: # 4. SLR SCALAR SHIFT LEFT AND ROUND.
044332,001460: # 5. VSR VECTOR SHIFT RIGHT.
044333,001461: # 6. VSL VECTOR SHIFT LEFT.
044334,001462: # * IF THE ADDRESS IS INDEXED, AND THE INDEX MODIFICATION RESULTS IN A NEGATIVE SHIFT COUNT, A SHIFT OF THE
044335,001463: # ABSOLUTE VALUE OF THE COUNT IS DONE IN THE OPPOSITE DIRECTION.
044336,001464:
044337,001465: 00,2017 BANK 00
044338,001466:
044339,001467: 00,2017 COUNT* $$/INTER
044340,001468: 00,2017 36242 SHORTT CAF SIX # SCALAR SHORT SHIFTS COME HERE. THE SHIFT
044341,001469: 00,2020 70020 MASK CYR # COUNT-1 IS NOW IN BITS 2-3 OF CYR. THE
044342,001470: 00,2021 54021 TS SR # ROUNDING BIT IS IN BIT1 AT THIS POINT.
044343,001471:
044344,001472: 00,2022 10020 CCS CYR # SEE IF RIGHT OR LEFT SHIFT DESIRED.
044345,001473: 00,2023 12101 TCF TSSL # SHIFT LEFT.
044346,001474:
044347,001475: 00,2024 00024 SRDDV DEC 20 B-14 # MPTEMP SETTING FOR SR BEFORE DDV.
044348,001476:
044349,001477: 00,2025 50021 TSSR INDEX SR # GET SHIFTING BIT.
044350,001478: 00,2026 34736 CAF BIT14
044351,001479: 00,2027 54135 TS MPTEMP
044352,001480:
044353,001481: 00,2030 10020 CCS CYR # SEE IF A ROUND IS DESIRED.
044354,001482: 00,2031 02050 RIGHTR TC MPACSRND # YES - SHIFT RIGHT AND ROUND.
044355,001483: 00,2032 16060 TCF NEWMODE # SET MODE TO DP (C(A) = 0).
044356,001484: 00,2033 30135 MPACSHR CA MPTEMP # DO A TRIPLE PRECISION SHIFT RIGHT.
044357,001485: 00,2034 00006 EXTEND
044358,001486: 00,2035 70156 MP MPAC +2
044359,001487: 00,2036 54156 +3 TS MPAC +2 # (EXIT FROM SQRT AND ABVAL).
044360,001488: 00,2037 30135 CA MPTEMP
044361,001489: 00,2040 00006 EXTEND
044362,001490: 00,2041 70154 MP MPAC # SHIFT MAJOR PART INTO A,L AND PLACE IN
|
|
Page 1048
|
044364,001492: 00,2042 52155 DXCH MPAC # MPAC,+1.
044365,001493: 00,2043 30135 CA MPTEMP
044366,001494: 00,2044 00006 EXTEND
044367,001495: 00,2045 70001 MP L # ORIGINAL C(MPAC +1).
044368,001496: 00,2046 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW.
044369,001497: 00,2047 16061 TCF DANZIG
044370,001498:
044371,001499: # MPAC SHIFT RIGHT AND ROUND SUBROUTINES.
044372,001500:
044373,001501: 00,2050 30156 MPACSRND CA MPAC +2 # WE HAVE TO DO ALL THREE MULTIPLIES SINCE
044374,001502: 00,2051 00006 EXTEND # MPAC +1 AND MPAC +2 MIGHT HAVE SIGN
044375,001503: 00,2052 70135 MP MPTEMP # DISAGREEMENT WITH A SHIFT RIGHT OF 1.
044376,001504: 00,2053 56155 XCH MPAC +1
044377,001505: 00,2054 00006 EXTEND
044378,001506: 00,2055 70135 MP MPTEMP
044379,001507: 00,2056 56155 XCH MPAC +1 # TRIAL MINOR PART.
044380,001508: 00,2057 60001 AD L
044381,001509:
044382,001510: 00,2060 60000 VSHR2 DOUBLE # (FINISH VECTOR COMPONENT SHIFT RIGHT
044383,001511: 00,2061 54156 TS MPAC +2 # AND ROUND.
044384,001512: 00,2062 12064 TCF +2
044385,001513: 00,2063 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW.
044386,001514:
044387,001515: 00,2064 34755 CAF ZERO
044388,001516: 00,2065 54156 TS MPAC +2
044389,001517: 00,2066 56154 XCH MPAC # SETTING TO ZERO SO FOLLOWING DAS WORKS.
044390,001518: 00,2067 00006 EXTEND
044391,001519: 00,2070 70135 MP MPTEMP
044392,001520: 00,2071 20155 DAS MPAC # AGAIN NO OVERFLOW.
044393,001521: 00,2072 00002 TC Q
044394,001522:
044395,001523: 00,2073 30135 VSHRRND CA MPTEMP # ENTRY TO SHIFT RIGHT AND ROUND MPAC WHEN
044396,001524: 00,2074 00006 EXTEND # MPAC CONTAINS A VECTOR COMPONENT.
044397,001525: 00,2075 70155 MP MPAC +1
044398,001526: 00,2076 54155 TS MPAC +1
044399,001527: 00,2077 56001 XCH L
044400,001528: 00,2100 12060 TCF VSHR2 # GO ADD ONE IF NECESSARY AND FINISH.
044401,001529:
|
|
Page 1049
|
044403,001531: # ROUTINE FOR SHORT SCALAR SHIFT LEFT (AND MAYBE ROUND).
044404,001532:
044405,001533: 00,2101 30021 TSSL CA SR # GET SHIFT COUNT FOR SR.
044406,001534: 00,2102 54135 +1 TS MPTEMP
044407,001535:
044408,001536: 00,2103 00006 +2 EXTEND # ENTRY HERE FROM SL FOR SCALARS.
044409,001537: 00,2104 30156 DCA MPAC +1 # SHIFTING LEFT ONE PLACE AT A TIME IS
044410,001538: 00,2105 20156 DAS MPAC +1 # FASTER THAN DOING THE WHOLE SHIFT WITH
044411,001539: 00,2106 60154 AD MPAC # MULTIPLIES ASSUMING THAT FREQUENCY OF
044412,001540: 00,2107 60154 AD MPAC # SHIFT COUNTS GOES DOWN RAPIDLY AS A
044413,001541: 00,2110 54154 TS MPAC # FUNCTION OF THEIR MAGNITUDE.
044414,001542: 00,2111 12113 TCF +2
044415,001543: 00,2112 54121 TS OVFIND # OVERFLOW. (LEAVES OVERFLOW-CORRECTED
044416,001544: # RESULT ANYWAY).
044417,001545: 00,2113 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNT.
044418,001546: 00,2114 12102 TCF TSSL +1
044419,001547:
044420,001548: 00,2115 10020 CCS CYR # SEE IF ROUND WANTED.
044421,001549: 00,2116 07136 ROUND TC ROUNDSUB # YES - ROUND AND EXIT.
044422,001550: 00,2117 16061 TCF DANZIG # SL LEAVES A ZERO IN CYR FOR NO ROUND.
044423,001551: 00,2120 16061 TCF DANZIG # NO - EXIT IMMEDIATL
044424,001552:
|
|
Page 1050
|
044426,001554: # VECTOR SHIFTING ROUTINES.
044427,001555:
044428,001556: 00,2121 34757 SHORTV CAF LOW3 # SAVE 3 BIT SHIFT COUNT - 1 WITHOUT
044429,001557: 00,2122 70020 MASK CYR # EDITING CYR.
044430,001558: 00,2123 54135 TS MPTEMP
044431,001559: 00,2124 10020 CCS CYR # SEE IF LEFT OR RIGHT SHIFT.
044432,001560: 00,2125 12145 TCF VSSL # VECTOR SHIFT LEFT.
044433,001561: 00,2126 00176 OCT176 OCT 176 # USED IN PROCESSED SHIFTS WITH - COUNT.
044434,001562:
044435,001563: 00,2127 50135 VSSR INDEX MPTEMP # (ENTRY FROM SR). PICK UP SHIFTING BIT.
044436,001564: 00,2130 34736 CAF BIT14 # MPTEMP CONTAINS THE SHIFT COUNT - 1.
044437,001565: 00,2131 54135 TS MPTEMP
044438,001566: 00,2132 02073 TC VSHRRND # SHIFT X COMPONENT.
044439,001567:
044440,001568: 00,2133 52155 DXCH MPAC # SWAP X AND Y COMPONENTS.
044441,001569: 00,2134 52160 DXCH MPAC +3
044442,001570: 00,2135 52155 DXCH MPAC
044443,001571: 00,2136 02073 TC VSHRRND # SHIFT Y COMPONENT.
044444,001572:
044445,001573: 00,2137 52155 DXCH MPAC # SWAP Y AND Z COMPONENTS.
044446,001574: 00,2140 52162 DXCH MPAC +5
044447,001575: 00,2141 52155 DXCH MPAC
044448,001576: 00,2142 02073 TC VSHRRND # SHIFT Z COMPONENT.
044449,001577:
044450,001578: 00,2143 17420 TCF VROTATEX # RESTORE COMPONENTS TO PROPER PLACES.
044451,001579:
|
|
Page 1051
|
044453,001581: # VECTOR SHIFT LEFT - DONE ONE PLACE AT A TIME.
044454,001582:
044455,001583: 00,2144 54135 -1 TS MPTEMP # SHIFTING LOOP.
044456,001584:
044457,001585: 00,2145 00006 VSSL EXTEND
044458,001586: 00,2146 30155 DCA MPAC
044459,001587: 00,2147 20155 DAS MPAC
044460,001588: 00,2150 00006 EXTEND
044461,001589: 00,2151 12153 BZF +2
044462,001590: 00,2152 07017 TC OVERFLOW
044463,001591:
044464,001592: 00,2153 00006 EXTEND
044465,001593: 00,2154 30160 DCA MPAC +3
044466,001594: 00,2155 20160 DAS MPAC +3
044467,001595: 00,2156 00006 EXTEND
044468,001596: 00,2157 12161 BZF +2
044469,001597: 00,2160 07014 TC OVERFLWY
044470,001598:
044471,001599: 00,2161 00006 EXTEND
044472,001600: 00,2162 30162 DCA MPAC +5
044473,001601: 00,2163 20162 DAS MPAC +5
044474,001602: 00,2164 00006 EXTEND
044475,001603: 00,2165 12167 BZF +2
044476,001604: 00,2166 07011 TC OVERFLWZ
044477,001605:
044478,001606: 00,2167 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNTER.
044479,001607: 00,2170 12144 TCF VSSL -1
044480,001608: 00,2171 16061 TCF DANZIG # EXIT.
044481,001609:
|
|
Page 1052
|
044483,001611: # TSLC - TRIPLE SHIFT LEFT AND COUNT. SHIFTS MPAC LEFT UNTIL GREATER THAN .5 IN MAGNITUDE, LEAVING
044484,001612: # THE COMPLEMENT OF THE NUMBER OF SHIFTS REQUIRED IN X.
044485,001613:
044486,001614: 00,2172 54135 TSLC2 TS MPTEMP # START BY ZEROING SHIFT COUNT (IN A NOW).
044487,001615: 00,2173 06723 TC BRANCH # EXIT WITH NO SHIFTING IF ARGUMENT ZERO.
044488,001616: 00,2174 12176 TCF +2
044489,001617: 00,2175 12212 TCF ENDTSLC # STORES ZERO SHIFT COUNT IN THIS CASE.
044490,001618:
044491,001619: 00,2176 07257 TC TPAGREE # MAY CAUSE UPSHIFT OF ONE EXTRA PLACE.
044492,001620:
044493,001621: 00,2177 30154 CA MPAC # BEGIN NORMALIZATION LOOP.
044494,001622: 00,2200 12207 TCF TSLCTEST
044495,001623:
044496,001624: 00,2201 24135 TSLCLOOP INCR MPTEMP # INCREMENT SHIFT COUNTER.
044497,001625: 00,2202 00006 EXTEND
044498,001626: 00,2203 30156 DCA MPAC +1
044499,001627: 00,2204 20156 DAS MPAC +1
044500,001628: 00,2205 60154 AD MPAC
044501,001629: 00,2206 26154 ADS MPAC
044502,001630: 00,2207 60000 TSLCTEST DOUBLE # SEE IF (ANOTHER) SHIFT IS REQUIRED.
044503,001631: 00,2210 54000 OVSK
044504,001632: 00,2211 12201 TCF TSLCLOOP # YES - INCREMENT COUNT AND SHIFT AGAIN.
044505,001633:
044506,001634: 00,2212 40135 ENDTSLC CS MPTEMP
044507,001635: 00,2213 16623 TCF STORE1 # STORE SHIFT COUNT AND RETURN TO DANZIG.
044508,001636:
|
|
Page 1053
|
044510,001638: # THE FOLLOWING ROUTINES PROCESSES THE GENERAL SHIFT INSTRUCTIONS SR, SRR, SL, AND SLR.
044511,001639: # THE GIVEN ADDRESS IS DECODED AS FOLLOWS:
044512,001640: # BITS 1-7 SHIFT COUNT (SUBADDRESS) LESS THAN 125 DECIMAL.
044513,001641: # BIT 8 PSEUDO SIGN BIT (DETECTS CHANGE IN SIGN IN INDEXED SHIFTS).
044514,001642: # BIT 9 0 FOR LEFT SHIFT, AND 1 FOR RIGHT SHIFT.
044515,001643: # BIT 10 1 FOR TERMINAL ROUND ON SCALAR SHIFTS, 0 OTHERWISE.
044516,001644: # BITS 11-13 0.
044517,001645: # BIT 14 1.
044518,001646: # BIT 15 0.
044519,001647: # THE ABOVE ENCODING IS DONE BY THE YUL SYSTEM.
044520,001648:
044521,001649: 00,2214 70116 GENSHIFT MASK ADDRWD # GET SHIFT COUNT, TESTING FOR ZERO.
044522,001650: 00,2215 10000 CCS A # (ARRIVES WITH C(A) = LOW7).
044523,001651: 00,2216 12224 TCF GENSHFT2 # IF NON-ZERO, PROCEED WITH DECREMENTED CT
044524,001652:
044525,001653: 00,2217 34742 CAF BIT10 # ZERO SHIFT COUNT. NO SHIFTS NEEDED BUT
044526,001654: 00,2220 70116 MASK ADDRWD # WE MIGHT HAVE TO ROUND MPAC ON SLR AND
044527,001655: 00,2221 10000 CCS A # SRR (SCALAR ONLY).
044528,001656: 00,2222 07136 TC ROUNDSUB
044529,001657: 00,2223 16061 TCF DANZIG
044530,001658:
044531,001659: 00,2224 54135 GENSHFT2 TS MPTEMP # DECREMENTED SHIFT COUNT TO MPTEMP.
044532,001660: 00,2225 34744 CAF BIT8 # TEST MEANING OF LOW SEVEN BIT COUNT IN
044533,001661: 00,2226 00006 EXTEND # MPTEMP NOW.
044534,001662: 00,2227 70116 MP ADDRWD
044535,001663: 00,2230 76245 MASK LOW2 # JUMPS ON SHIFT DIRECTION (BIT8) AND
044536,001664: 00,2231 50000 INDEX A
044537,001665: 00,2232 12233 TCF +1 # ORIGINAL SHIFT DIRECTION (BIT 9).
044538,001666: 00,2233 12332 TCF RIGHT- # NEGATIVE SHIFT COUNT FOR SL OR SLR.
044539,001667: 00,2234 12342 TCF LEFT # SL OR SLR.
044540,001668: 00,2235 12336 TCF LEFT- # NEGATIVE SHIFT COUNT WITH SR OR SRR.
044541,001669:
|
|
Page 1054
|
044543,001671: # GENERAL SHIFT RIGHT.
044544,001672:
044545,001673: 00,2236 10163 RIGHT CCS MODE # SEE IF VECTOR OR SCALAR.
044546,001674: 00,2237 12277 TCF GENSCR
044547,001675: 00,2240 12277 TCF GENSCR
044548,001676:
044549,001677: 00,2241 30135 CA MPTEMP # SEE IF SHIFT COUNT LESS THAN 14D.
044550,001678: 00,2242 63733 VRIGHT2 AD NEG12
044551,001679: 00,2243 00006 EXTEND
044552,001680: 00,2244 62127 BZMF VSSR # IF SO, BRANCH AND SHIFT IMMEDIATELY.
044553,001681:
044554,001682: 00,2245 67747 AD NEGONE # IF NOT, REDUCE MPTEMP BY A TOTAL OF 14,
044555,001683: 00,2246 54135 TS MPTEMP # AND DO A SHIFT RIGHT AND ROUND BY 14.
044556,001684: 00,2247 34755 CAF ZERO # THE ROUND AT THIS STAGE MAY INTRODUCE A
044557,001685: 00,2250 54001 TS L # ONE BIT ERROR IN A SHIFT RIGHT 15D.
044558,001686: 00,2251 56154 XCH MPAC
044559,001687: 00,2252 56155 XCH MPAC +1
044560,001688: 00,2253 02272 TC SETROUND # X COMPONENT NOW SHIFTED, SO MAKE UP THE
044561,001689: 00,2254 20155 DAS MPAC # ROUNDING QUANTITY (0 IN A AND 0 OR +-1
044562,001690: # IN L).
044563,001691: 00,2255 56157 XCH MPAC +3 # REPEAT THE ABOVE PROCESS FOR Y AND Z.
044564,001692: 00,2256 56160 XCH MPAC +4
044565,001693: 00,2257 02272 TC SETROUND
044566,001694: 00,2260 20160 DAS MPAC +3 # NO OVERFLOW ON THESE ADDS.
044567,001695:
044568,001696: 00,2261 56161 XCH MPAC +5
044569,001697: 00,2262 56162 XCH MPAC +6
044570,001698: 00,2263 02272 TC SETROUND
044571,001699: 00,2264 20162 DAS MPAC +5
044572,001700:
044573,001701: 00,2265 10135 CCS MPTEMP # SEE IF DONE, DOING FINAL DECREMENT.
044574,001702: 00,2266 54135 TS MPTEMP
044575,001703: 00,2267 12242 TCF VRIGHT2
044576,001704: 00,2270 04604 BIASLO DEC .2974 B-1 # SQRT CONSTANT
044577,001705:
044578,001706: 00,2271 16061 TCF DANZIG
044579,001707:
044580,001708: 00,2272 60000 SETROUND DOUBLE # MAKES UP ROUNDING QUANTITY FROM ARRIVING
044581,001709: 00,2273 54156 TS MPAC +2 # C(A). L IS ZERO INITIALLY.
044582,001710: 00,2274 34755 CAF ZERO
044583,001711: 00,2275 56001 XCH L
044584,001712: 00,2276 00002 TC Q # RETURN AND DO THE DAS, RESETTING L TO 0.
044585,001713:
|
|
Page 1055
|
044587,001715: # PROCESS SR AND SRR FOR SCALARS.
044588,001716:
044589,001717: 00,2277 30135 GENSCR CA MPTEMP # SEE IF THE ORIGINAL SHIFT COUNT WAS LESS
044590,001718: 00,2300 63733 +1 AD NEG12 # THAN 14D.
044591,001719: 00,2301 00006 EXTEND
044592,001720: 00,2302 62322 BZMF DOSSHFT # DO THE SHIFT IMMEDIATELY IF SO.
044593,001721:
044594,001722: 00,2303 67747 +4 AD NEGONE # IF NOT, DECREMENT SHIFT COUNT BY 14D AND
044595,001723: 00,2304 54135 TS MPTEMP # SHIFT MPAC RIGHT 14 PLACES.
044596,001724: 00,2305 34755 CAF ZERO
044597,001725: 00,2306 56154 XCH MPAC
044598,001726: 00,2307 56155 XCH MPAC +1
044599,001727: 00,2310 54156 TS MPAC +2
044600,001728: 00,2311 10135 CCS MPTEMP # SEE IF FINISHED, DO FINAL DECREMENT.
044601,001729: 00,2312 54135 TS MPTEMP
044602,001730: 00,2313 02300 TC GENSCR +1
044603,001731: 00,2314 22650 SLOPEHI DEC .5884 # SQRT CONSTANT.
044604,001732: 00,2315 34742 CAF BIT10 # FINISHED WITH SHIFT. SEE IF ROUND
044605,001733: 00,2316 70116 MASK ADDRWD # WANTED.
044606,001734: 00,2317 10000 CCS A
044607,001735: 00,2320 07136 TC ROUNDSUB
044608,001736: 00,2321 16061 TCF DANZIG # DO SO AND/OR EXIT.
044609,001737:
044610,001738: 00,2322 50135 DOSSHFT INDEX MPTEMP # PICK UP SHIFTING BIT.
044611,001739: 00,2323 34736 CAF BIT14
044612,001740: 00,2324 54135 TS MPTEMP
044613,001741: 00,2325 34742 CAF BIT10 # SEE IF TERMINAL ROUND DESIRED.
044614,001742: 00,2326 70116 MASK ADDRWD
044615,001743: 00,2327 10000 CCS A
044616,001744: 00,2330 12031 TCF RIGHTR # YES.
044617,001745: 00,2331 12033 TCF MPACSHR # JUST SHIFT RIGHT.
044618,001746:
|
|
Page 1056
|
044620,001748: # PROCESS THE RIGHT- (SL(R) WITH A NEGATIVE COUNT), LEFT-, AND LEFT OPTIONS.
044621,001749:
044622,001750: 00,2332 40135 RIGHT- CS MPTEMP # GET ABSOLUTE VALUE - 1 OF SHIFT COUNT
044623,001751: 00,2333 62126 AD OCT176 # UNDERSTANDING THAT BIT8 (PSEUDO-SIGN)
044624,001752: 00,2334 54135 TS MPTEMP # WAS 1 INITIALLY.
044625,001753: 00,2335 12236 TCF RIGHT # DO NORMAL SHIFT RIGHT.
044626,001754:
044627,001755: 00,2336 42126 LEFT- CS OCT176 # SAME PROLOGUE TO LEFT FOR INDEXED RIGHT
044628,001756: 00,2337 60135 AD MPTEMP # SHIFTS WHOSE NET SHIFT COUNT IS NEGATIVE
044629,001757: 00,2340 40000 COM
044630,001758: 00,2341 54135 TS MPTEMP
044631,001759:
044632,001760: 00,2342 10163 LEFT CCS MODE # SINCE LEFT SHIFTING IS SONE ONE PLACE AT
044633,001761: 00,2343 12346 TCF GENSCL # A TIME, NO COMPARISON WITH 14 NEED BE
044634,001762: 00,2344 12346 TCF GENSCL # DONE. FOR SCALARS, SEE IF TERMINAL ROUND
044635,001763: 00,2345 12145 TCF VSSL # DESIRED. FOR VECTORS, SHIFT IMMEDIATELY.
044636,001764:
044637,001765: 00,2346 40116 GENSCL CS ADDRWD # PUT ROUNDING BIT (BIT 10 OF ADDRWD) INTO
044638,001766: 00,2347 00006 EXTEND # BIT 15 OF CYR WHERE THE ROUNDING BIT OF
044639,001767: 00,2350 74746 MP BIT6 # A SHORT SHIFT LEFT WOULD BE
044640,001768: 00,2351 54020 TS CYR
044641,001769: 00,2352 12103 TCF TSSL +2 # DO THE SHIFT.
044642,001770:
|
|
Page 1057
|
044644,001772: # SCALAR DIVISION INSTRUCTIONS, DDV AND BDDV, ARE EXECUTED HERE. AT THIS POINT, THE DIVIDEND IS IN MPAC
044645,001773: # AND THE DIVISOR IN BUF.
044646,001774:
044647,001775: 00,2353 44753 DDV/BDDV CS ONE # INITIALIZATION.
044648,001776: 00,2354 54136 TS DVSIGN # +-1 FOR POSITIVE QUOTIENT - -0 FOR NEG.
044649,001777: 00,2355 54137 TS DVNORMCT # DIVIDEND NORMALIZATION COUNT.
044650,001778: 00,2356 54140 TS MAXDVSW # NEAR-ONE DIVIDE FLAG.
044651,001779:
044652,001780: 00,2357 10130 CCS BUF # FORCE BUF POSITIVE WITH THE MAJOR PART
044653,001781: 00,2360 12516 TCF BUFPOS # NON-ZERO.
044654,001782: 00,2361 12363 TCF +2
044655,001783: 00,2362 12531 TCF BUFNEG
044656,001784:
044657,001785: 00,2363 54156 BUFZERO TS MPAC +2 # ZERO THIS.
044658,001786: 00,2364 07257 TC TPAGREE # FORCE SIGN AGREEMENT BEFORE OVERFLOW
044659,001787:
044660,001788: 00,2365 10154 CCS MPAC # TEST TO SEE IF MPAC NON-ZERO. (TOO BIG)
044661,001789: 00,2366 12414 TCF OVF+ # MAJOR PART OF DIVIDEND IS POSITIVE NON-0
044662,001790: 00,2367 12371 TCF +2
044663,001791: 00,2370 12413 TCF OVF+ -1 # MAJOR PART OF DIVIDEND IS NEG. NON-ZERO
044664,001792:
044665,001793: 00,2371 56131 XCH BUF +1 # SHIFT DIVIDEND AND DIVISOR LEFT 14.
044666,001794: 00,2372 56130 XCH BUF
044667,001795: 00,2373 56155 XCH MPAC +1
044668,001796: 00,2374 56154 XCH MPAC
044669,001797: 00,2375 10130 CCS BUF # TRY AGAIN ON FORMER MINOR PART.
044670,001798: 00,2376 12422 TCF BUF+
044671,001799: 00,2377 12401 TCF +2 # OVERFLOW ON ZERO DIVISOR.
044672,001800: 00,2400 12416 TCF BUF-
044673,001801:
044674,001802: 00,2401 40154 CS MPAC # SIGN OF MPAC DETERMINES SIGN OF RESULT.
044675,001803: 00,2402 00006 SGNDVOVF EXTEND
044676,001804: 00,2403 62405 BZMF +2
044677,001805: 00,2404 24136 INCR DVSIGN # NEGMAX IN MPAC PERHAPS.
044678,001806: 00,2405 34733 DVOVF CAF POSMAX # ON DIVISION OVERFLOW OF ANY SORT, SET
044679,001807: 00,2406 54154 TS MPAC # SET DP MPAC TO +-POSMAX.
044680,001808: 00,2407 02630 TC FINALDV +3
044681,001809: 00,2410 34753 CAF ONE # SET OVERFLOW INDICATOR AND EXIT.
044682,001810: 00,2411 54121 TS OVFIND
044683,001811: 00,2412 06061 TC DANZIG
044684,001812:
044685,001813: 00,2413 24136 -1 INCR DVSIGN
044686,001814: 00,2414 40131 OVF+ CS BUF +1 # LOAD LOWER ORDER PART OF DIVISOR.
044687,001815: 00,2415 12402 TCF SGNDVOVF # GET SIGN OF RESULT.
044688,001816:
044689,001817: 00,2416 00006 BUF- EXTEND # IF BUF IS NEGATIVE, COMPLEMENT IT AND
044690,001818: 00,2417 40131 DCS BUF # MAINTAIN DVSIGN FOR FINAL QUOTIENT SIGN.
044691,001819: 00,2420 52131 DXCH BUF
044692,001820: 00,2421 24136 INCR DVSIGN # NOW -0.
044693,001821:
|
|
Page 1058
|
044695,001823: 00,2422 10154 BUF+ CCS MPAC # FORCE MPAC POSITIVE, CHECKING FOR ZERO
044696,001824: 00,2423 12437 TCF MPAC+ # DIVIDEND IN THE PROCESS.
044697,001825: 00,2424 12426 TCF +2
044698,001826: 00,2425 12433 TCF MPAC-
044699,001827: 00,2426 10155 CCS MPAC +1
044700,001828: 00,2427 12437 TCF MPAC+
044701,001829: 00,2430 16061 TCF DANZIG # EXIT IMMEDIATELY ON ZERO DIVIDEND.
044702,001830: 00,2431 12433 TCF MPAC-
044703,001831: 00,2432 16061 TCF DANZIG
044704,001832:
044705,001833: 00,2433 00006 MPAC- EXTEND # FORCE MPAC POSITIVE AS BUF IN BUF-.
044706,001834: 00,2434 40155 DCS MPAC
044707,001835: 00,2435 52155 DXCH MPAC
044708,001836: 00,2436 24136 INCR DVSIGN # NOW +1 OR -0.
044709,001837:
|
|
Page 1059
|
044711,001839: 00,2437 40154 MPAC+ CS MPAC # CHECK FOR DIVISION OVERFLOW. IF THE
044712,001840: 00,2440 67747 AD NEGONE # MAJOR PART OF THE DIVIDEND IS LESS THAN
044713,001841: 00,2441 60130 AD BUF # THE MAJOR PART OF THE DIVISOR BY AT
044714,001842: 00,2442 10000 CCS A # LEAST TWO, WE CAN PROCEED IMMEDIATELY
044715,001843: 00,2443 12505 TCF DVNORM # WITHOUT NORMALIZATION PRODUCING A DVMAX.
044716,001844: 00,2444 60001 -1/2+2 OCT 60001 # USED IN SQRTSUB.
044717,001845:
044718,001846: 00,2445 12446 TCF +1 # IF THE ABOVE DOES NOT HOLD, FORCE SIGN
044719,001847: 00,2446 34736 CAF HALF # AGREEMENT IN NUMERATOR AND DENOMINATOR
044720,001848: 00,2447 60000 DOUBLE # TO FACILITATE OVERFLOW AND NEAR-ONE
044721,001849: 00,2450 60155 AD MPAC +1 # CHECKING.
044722,001850: 00,2451 54155 TS MPAC +1
044723,001851: 00,2452 34755 CAF ZERO
044724,001852: 00,2453 64733 AD POSMAX
044725,001853: 00,2454 26154 ADS MPAC
044726,001854:
044727,001855: 00,2455 34736 CAF HALF # SAME FOR BUF.
044728,001856: 00,2456 60000 DOUBLE
044729,001857: 00,2457 60131 AD BUF +1
044730,001858: 00,2460 54131 TS BUF +1
044731,001859: 00,2461 34755 CAF ZERO
044732,001860: 00,2462 64733 AD POSMAX
044733,001861: 00,2463 26130 ADS BUF
044734,001862:
044735,001863: 00,2464 40154 CS MPAC # CHECK MAGNITUDE OF SIGN-CORRECTED
044736,001864: 00,2465 60130 AD BUF # OPERANDS.
044737,001865: 00,2466 10000 CCS A
044738,001866: 00,2467 12505 TCF DVNORM # DIVIDE OK - WILL NOT BECOME MAXDV CASE.
044739,001867: 00,2470 00133 LBUF2 ADRES BUF2
044740,001868: 00,2471 12405 TCF DVOVF # DIVISOR NOT LESS THAN DIVIDEND - OVF.
044741,001869:
044742,001870: 00,2472 54140 TS MAXDVSW # IF THE MAJOR PARTS OF THE DIVIDEND AND
044743,001871: 00,2473 40155 CS MPAC +1 # DIVISOR ARE EQUAL, A SPECIAL APPROXIMA-
044744,001872: 00,2474 60131 AD BUF +1 # TION IS USED (PROVIDED THE DIVISION IS
044745,001873: 00,2475 00006 EXTEND # POSSIBLE, OF COURSE).
044746,001874: 00,2476 62405 BZMF DVOVF
044747,001875: 00,2477 12505 TCF DVNORM # IF NO OVERFLOW.
044748,001876:
|
|
Page 1060
|
044750,001878: 00,2500 00006 BUFNORM EXTEND # ADD -1 TO AUGMENT SHIFT COUNT AND SHIFT
044751,001879: 00,2501 24137 AUG DVNORMCT # LEFT ONE PLACE.
044752,001880: 00,2502 00006 EXTEND
044753,001881: 00,2503 30131 DCA BUF
044754,001882: 00,2504 20131 DAS BUF
044755,001883:
044756,001884: 00,2505 30130 DVNORM CA BUF # SEE IF DIVISOR NORMALIZED YET.
044757,001885: 00,2506 60000 DOUBLE
044758,001886: 00,2507 54000 OVSK
044759,001887: 00,2510 12500 TCF BUFNORM # NO - SHIFT LEFT ONE AND TRY AGAIN.
044760,001888:
044761,001889: 00,2511 52155 DXCH MPAC # CALL DIVIDEND NORMALIZATION SEQUENCE
044762,001890: 00,2512 50137 INDEX DVNORMCT # PRIOR TO DOING THE DIVIDE.
044763,001891: 00,2513 02565 TC MAXTEST
044764,001892:
044765,001893: 00,2514 54156 TS MPAC +2 # RETURNS WITH DIVISION DONE AND C(A) = 0.
044766,001894: 00,2515 16061 TCF DANZIG
044767,001895:
044768,001896: 00,2516 10000 BUFPOS CCS A
044769,001897: 00,2517 12422 TCF BUF+ # TO BUF+ IF BUF IS GREATER THAN +1.
044770,001898:
044771,001899: 00,2520 40131 CS BUF +1 # IF BUF IS +1, FORCING SIGN AGREEMENT
044772,001900: 00,2521 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO.
044773,001901: 00,2522 62422 BZMF BUF+ # BRANCH IF SIGNS AGREE.
044774,001902:
044775,001903: 00,2523 34736 CA HALF # SIGNS DISAGREE. FORCE AGREEMENT.
044776,001904: 00,2524 60000 +6 DOUBLE
044777,001905: 00,2525 26131 ADS BUF +1
044778,001906: 00,2526 34755 CA ZERO
044779,001907: 00,2527 54130 TS BUF
044780,001908: 00,2530 12363 TCF BUFZERO
044781,001909:
044782,001910: 00,2531 10000 BUFNEG CCS A
044783,001911: 00,2532 12416 TCF BUF- # TO BUF- IF BUF IS LESS THAN -1.
044784,001912:
044785,001913: 00,2533 30131 CA BUF +1 # IF BUF IS -1, FORCING SIGN AGREEMENT
044786,001914: 00,2534 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO.
044787,001915: 00,2535 62416 BZMF BUF- # BRANCH IF SIGNS AGREE.
044788,001916:
044789,001917: 00,2536 44736 CS HALF # SIGNS DISAGREE. FORCE AGREEMENT.
044790,001918: 00,2537 12524 TCF BUFPOS +6
044791,001919:
|
|
Page 1061
|
044793,001921: # THE FOLLOWING ARE PROLOGUES TO SHIFT THE DIVIDEND ARRIVING IN A AND L BEFORE THE DIVIDE.
044794,001922:
044795,001923: 00,2540 22021 -21D LXCH SR # SPECIAL PROLOGUE FOR UNIT WHEN THE
044796,001924: 00,2541 00006 EXTEND # LENGTH OF THE ARGUMENT WAS NOT LESS THAN
044797,001925: 00,2542 74736 MP HALF # .5. IN THIS CASE, EACH COMPONENT MUST BE
044798,001926: 00,2543 56001 XCH L # SHIFTED RIGHT ONE TO PRODUCE A HALF-UNIT
044799,001927: 00,2544 60021 AD SR # VECTOR.
044800,001928: 00,2545 56001 XCH L
044801,001929: 00,2546 12571 TCF GENDDV +1 # WITH DP DIVIDEND IN A,L.
044802,001930:
044803,001931: 00,2547 20001 DDOUBL # PROLOGUE WHICH NORMALIZES THE DIVIDEND
044804,001932: 00,2550 20001 DDOUBL # WHEN IT IS KNOWN THAT NO DIVISION
044805,001933: 00,2551 20001 DDOUBL # OVERFLOW WILL OCCUR.
044806,001934: 00,2552 20001 DDOUBL
044807,001935: 00,2553 20001 DDOUBL
044808,001936: 00,2554 20001 DDOUBL
044809,001937: 00,2555 20001 DDOUBL
044810,001938: 00,2556 20001 DDOUBL
044811,001939: 00,2557 20001 DDOUBL
044812,001940: 00,2560 20001 DDOUBL
044813,001941: 00,2561 20001 DDOUBL
044814,001942: 00,2562 20001 DDOUBL
044815,001943: 00,2563 20001 DDOUBL
044816,001944: 00,2564 52155 DXCH MPAC
044817,001945:
044818,001946: 00,2565 10140 MAXTEST CCS MAXDVSW # 0 IF MAJORS MIGHT BE =, -1 OTHERWISE.
044819,001947: 00,2566 06552 BIASHI DEC .4192 B-1 # SQRT CONSTANTS
044820,001948:
044821,001949: 00,2567 12642 TCF MAXDV # CHECK TO SEE IF THEY ARE NOW EQUAL.
044822,001950:
|
|
Page 1062
|
044824,001952: # THE FOLLOWING IS A GENERAL PURPOSE DOUBLE PRECISION DIVISION ROUTINE. IT DIVIDES MPAC BY BUF AND LEAVES
044825,001953: # THE RESULT IN MPAC. THE FOLLOWING CONDITIONS MUST BE SATISFIED:
044826,001954:
044827,001955: # 1. THE DIVISOR (BUF) MUST BE POSITIVE AND NOT LESS THAN .5.
044828,001956:
044829,001957: # 2. THE DIVIDEND (MPAC) MUST BE POSITIVE WITH THE MAJOR PART OF MPAC STRICTLY LESS THAN THAT OF BUF
044830,001958: # (A SPECIAL APPROXIMATION, MAXDV, IS USED WHEN THE MAJOR PARTS ARE EQUAL).
044831,001959:
044832,001960: # UNDERSTANDING THAT A/B = Q + S(R/B) WHERE S = 2(-14) AND Q AND R ARE QUOTIENT AND REMAINDER, RESPEC-
044833,001961: # TIVELY, THE FOLLOWING APPROXIMATION IS OBTAINED BY MULTIPLYING ABOVE AND BELOW BY C - SD AND NEGLECTING TERMS OF
044834,001962: # ORDER S-SQUARED (POSSIBLY INTRODUCING ERROR INTO THE LOW TWO BITS OF THE RESULT). SIGN AGREEMENT IS UNNECESSARY.
044835,001963:
044836,001964: # A + SB . (R - QD) A + SB
044837,001965: # ------ = Q + S(------) WHERE Q AND R ARE QUOTIENT AND REMAINDER OF ------ RESPECTIVELY.
044838,001966: # C + SD ( C ) C
044839,001967:
044840,001968: 00,2570 52155 GENDDV DXCH MPAC # WE NEED A AND B ONLY FOR FIRST DV.
044841,001969: 00,2571 00006 +1 EXTEND # (SPECIAL UNIT PROLOGUE ENTERS HERE).
044842,001970: 00,2572 10130 DV BUF # A NOW CONTAINS Q AND L, R.
044843,001971: 00,2573 52155 DXCH MPAC
044844,001972:
044845,001973: 00,2574 40154 CS MPAC # FORM DIVIDEND FOR MINOR PART OF RESULT.
044846,001974: 00,2575 00006 EXTEND
044847,001975: 00,2576 70131 MP BUF +1
044848,001976: 00,2577 60155 AD MPAC +1 # OVERFLOW AT THIS POINT IS POSITIVE SINCE
044849,001977: 00,2600 54000 OVSK # R IS POSITIVE IN EVERY CASE.
044850,001978: 00,2601 12606 TCF +5
044851,001979:
044852,001980: 00,2602 00006 EXTEND # OVERFLOW CAN BE REMOVED BY SUBTRACTING C
044853,001981: 00,2603 60130 SU BUF # (BUF) ONCE SINCE R IS ALWAYS LESS THAN C
044854,001982: 00,2604 24154 INCR MPAC # IN THIS CASE. INCR COMPENSATES SUBTRACT.
044855,001983: 00,2605 12610 TCF +DOWN # (SINCE C(A) IS STILL POSITIVE).
044856,001984:
044857,001985: 00,2606 00006 +5 EXTEND # C(A) CAN BE MADE LESS THAN C IN MAGNI-
044858,001986: 00,2607 62620 BZMF -UP # TUDE BY DIMINISHING IT BY C (SINCE C IS
044859,001987: # NOT LESS THAN .5) UNLESS C(A) = 0.
044860,001988:
|
|
Page 1063
|
044862,001990: 00,2610 00006 +DOWN EXTEND
044863,001991: 00,2611 60130 SU BUF # IF POSITIVE, REDUCE ONLY IF NECESSARY
044864,001992: 00,2612 00006 EXTEND # SINCE THE COMPENSATING INCR MIGHT CAUSE
044865,001993: 00,2613 12616 BZF +3 # OVERFLOW.
044866,001994: 00,2614 00006 EXTEND # DONT SUBTRACT UNLESS RESULT IS POSITIVE
044867,001995: 00,2615 62624 BZMF ENDMAXDV # OR ZERO.
044868,001996:
044869,001997: 00,2616 24154 +3 INCR MPAC # KEEP SUBTRACT HERE AND COMPENSATE.
044870,001998: 00,2617 12625 TCF FINALDV
044871,001999:
044872,002000: 00,2620 00006 -UP EXTEND # IF ZERO, SET MINOR PART OF RESULT TO
044873,002001: 00,2621 12630 BZF FINALDV +3 # ZERO.
044874,002002:
044875,002003: 00,2622 00006 EXTEND # IF NEGATIVE, ADD C TO A, SUBTRACTING ONE
044876,002004: 00,2623 26154 DIM MPAC # TO COMPENSATE. DIM IS OK HERE SINCE THE
044877,002005: 00,2624 60130 ENDMAXDV AD BUF # MAJOR PART NEVER GOES NEGATIVE.
044878,002006:
|
|
Page 1064
|
044880,002008: 00,2625 22007 FINALDV ZL # DO DV TO OBTAIN MINOR PART OF RESULT.
044881,002009: 00,2626 00006 EXTEND
044882,002010: 00,2627 10130 DV BUF
044883,002011: 00,2630 54155 +3 TS MPAC +1
044884,002012:
044885,002013: 00,2631 10136 CCS DVSIGN # LEAVE RESULT POSITIVE UNLESS C(DVSIGN)=
044886,002014: 00,2632 00002 TC Q # -0.
044887,002015: 00,2633 00002 TC Q
044888,002016: 00,2634 00002 TC Q
044889,002017:
044890,002018: 00,2635 00006 EXTEND
044891,002019: 00,2636 40155 DCS MPAC
044892,002020: 00,2637 52155 DXCH MPAC
044893,002021: 00,2640 34755 CAF ZERO # SO WE ALWAYS RETURN WITH C(A) = 0.
044894,002022: 00,2641 00002 TC Q
044895,002023:
|
|
Page 1065
|
044897,002025: # IF THE MAJOR PARTS OF THE DIVISOR AND DIVIDEND ARE EQUAL, BUT THE MINOR PARTS ARE SUCH THAT THE
044898,002026: # DIVIDEND IS STRICTLY LESS THAN THE DIVISOR IN MAGNITUDE, THE FOLLOWING APPROXIMATION IS USED. THE ASSUMPTIONS
044899,002027: # ARE THE SAME AS THE GENERAL ROUTINE WITH THE ADDITION THAT SIGN AGREEMENT IS NECESSARY (B, C, & D POSITIVE).
044900,002028:
044901,002029: # C + SB . (C + B - D)
044902,002030: # ------ = 37777 + S(---------)
044903,002031: # C + SD ( C )
044904,002032:
044905,002033: # THE DIVISION MAY BE PERFORMED IMMEDIATELY SINCE B IS STRICTLY LESS THAN D AND C IS NOT LESS THAN .5.
044906,002034:
044907,002035: 00,2642 40154 MAXDV CS MPAC # SEE IF MAXDV CASE STILL HOLDS AFTER
044908,002036: 00,2643 60130 AD BUF # NORMALIZATION.
044909,002037: 00,2644 00006 EXTEND
044910,002038: 00,2645 12647 BZF +2
044911,002039: 00,2646 12570 TCF GENDDV # MPAC NOW LESS THAN BUF - DIVIDE AS USUAL
044912,002040:
044913,002041: 00,2647 34733 +2 CAF POSMAX # SET MAJOR PART OF RESULT.
044914,002042: 00,2650 54154 TS MPAC
044915,002043:
044916,002044: 00,2651 40131 CS BUF +1 # FORM DIVIDEND OF MINOR PART OF RESULT.
044917,002045: 00,2652 60155 AD MPAC +1
044918,002046: 00,2653 12624 TCF ENDMAXDV # GO ADD C AND DO DIVIDE, ATTACHING SIGN
044919,002047: # BEFORE EXITING.
044920,002048:
|
|
Page 1066
|
044922,002050: # VECTOR DIVIDED BY SCALAR, V/SC, IS EXECUTED HERE. THE VECTOR IS NOW IN MPAC WITH SCALAR IN BUF.
044923,002051:
044924,002052: 00,2654 44753 V/SC2 CS ONE # INITIALIZE DIVIDEND NORMALIZATION COUNT
044925,002053: 00,2655 54137 TS DVNORMCT # AND DIVISION SIGN REGISTER.
044926,002054: 00,2656 54127 TS VBUF +5
044927,002055:
044928,002056: 00,2657 03010 TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR
044929,002057:
044930,002058: 00,2660 52131 DXCH BUF
044931,002059: 00,2661 07544 TC ALSIGNAG # SIGN AGREE BUF
044932,002060: 00,2662 52131 DXCH BUF
044933,002061: 00,2663 10130 CCS BUF # FORCE DIVISOR POSITIVE WITH MAJOR PART
044934,002062: 00,2664 12721 TCF /BUF+ # NON-ZERO (IF POSSIBLE).
044935,002063: 00,2665 12667 TCF +2
044936,002064: 00,2666 12715 TCF /BUF-
044937,002065:
044938,002066: 00,2667 56131 XCH BUF +1 # SHIFT VECTOR AND SCALAR LEFT 14.
044939,002067: 00,2670 56130 XCH BUF
044940,002068: 00,2671 56155 XCH MPAC +1
044941,002069: 00,2672 56154 XCH MPAC
044942,002070: 00,2673 00006 EXTEND # CHECK FOR OVERFLOW IN EACH CASE.
044943,002071: 00,2674 12676 BZF +2
044944,002072: 00,2675 12405 TCF DVOVF
044945,002073:
044946,002074: 00,2676 56160 XCH MPAC +4
044947,002075: 00,2677 56157 XCH MPAC +3
044948,002076: 00,2700 00006 EXTEND
044949,002077: 00,2701 12703 BZF +2
044950,002078: 00,2702 12405 TCF DVOVF
044951,002079:
044952,002080: 00,2703 56162 XCH MPAC +6
044953,002081: 00,2704 56161 XCH MPAC +5
044954,002082: 00,2705 00006 EXTEND
044955,002083: 00,2706 12710 BZF +2
044956,002084: 00,2707 12405 TCF DVOVF
044957,002085:
044958,002086: 00,2710 10130 CCS BUF
044959,002087: 00,2711 12721 TCF /BUF+
044960,002088: 00,2712 12405 TCF DVOVF # ZERO DIVISOR - OVERFLOW.
044961,002089: 00,2713 12715 TCF /BUF-
044962,002090: 00,2714 12405 TCF DVOVF
044963,002091:
044964,002092: 00,2715 00006 /BUF- EXTEND # ON NEGATIVE, COMPLEMENT BUF AND MAINTAIN
044965,002093: 00,2716 40131 DCS BUF # DVSIGN IN VBUF +5.
044966,002094: 00,2717 52131 DXCH BUF
044967,002095: 00,2720 24127 INCR VBUF +5
044968,002096:
|
|
Page 1067
|
044970,002098: 00,2721 00006 /BUF+ EXTEND
044971,002099: 00,2722 30131 DCA BUF # LEAVE ABS(ORIG DIVISOR) IN BUF2
044972,002100: 00,2723 52134 DXCH BUF2 # FOR OVERFLOW TESTING
044973,002101: 00,2724 12732 TCF /NORM # NORMALIZE DIVISOR IN BUF.
044974,002102:
044975,002103: 00,2725 00006 /NORM2 EXTEND # IF LESS THAN .5, AUGMENT DVNORMCT AND
044976,002104: 00,2726 24137 AUG DVNORMCT # DOUBLE DIVISOR.
044977,002105: 00,2727 00006 EXTEND
044978,002106: 00,2730 30131 DCA BUF
044979,002107: 00,2731 20131 DAS BUF
044980,002108:
044981,002109: 00,2732 30130 /NORM CA BUF # SEE IF DIVISOR NORMALIZED.
044982,002110: 00,2733 60000 DOUBLE
044983,002111: 00,2734 54000 OVSK
044984,002112: 00,2735 12725 TCF /NORM2 # DOUBLE AND TRY AGAIN IF NOT.
044985,002113:
044986,002114: 00,2736 02750 TC V/SCDV # DO X COMPONENT DIVIDE.
044987,002115: 00,2737 52160 DXCH MPAC +3 # SUPPLY ARGUMENTS IN USUAL SEQUENCE.
044988,002116: 00,2740 52155 DXCH MPAC
044989,002117: 00,2741 52160 DXCH MPAC +3
044990,002118:
044991,002119: 00,2742 02750 TC V/SCDV # Y COMPONENT.
044992,002120: 00,2743 52162 DXCH MPAC +5
044993,002121: 00,2744 52155 DXCH MPAC
044994,002122: 00,2745 52162 DXCH MPAC +5
044995,002123:
044996,002124: 00,2746 02750 TC V/SCDV # Z COMPONENT.
044997,002125: 00,2747 17420 TCF VROTATEX # GO RE-ARRANGE COMPONENTS BEFORE EXIT.
044998,002126:
|
|
Page 1068
|
045000,002128: # SUBROUTINE USED BY V/SC TO DIVIDE VECTOR COMPONENT IN MPAC,+1 BY THE SCALAR GIVEN IN BUF.
045001,002129:
045002,002130: 00,2750 30127 V/SCDV CA VBUF +5 # REFLECTS SIGN OF SCALAR.
045003,002131: 00,2751 54136 TS DVSIGN
045004,002132:
045005,002133: 00,2752 10154 CCS MPAC # FORCE MPAC POSITIVE, EXITING ON ZERO.
045006,002134: 00,2753 12767 TCF /MPAC+
045007,002135: 00,2754 12756 TCF +2
045008,002136: 00,2755 12763 TCF /MPAC-
045009,002137:
045010,002138: 00,2756 10155 CCS MPAC +1
045011,002139: 00,2757 12767 TCF /MPAC+
045012,002140: 00,2760 00002 TC Q
045013,002141: 00,2761 12763 TCF /MPAC-
045014,002142: 00,2762 00002 TC Q
045015,002143:
045016,002144: 00,2763 00006 /MPAC- EXTEND # USUAL COMPLEMENTING AND SETTING OF SIGN.
045017,002145: 00,2764 40155 DCS MPAC
045018,002146: 00,2765 52155 DXCH MPAC
045019,002147: 00,2766 24136 INCR DVSIGN
045020,002148:
045021,002149: 00,2767 44753 /MPAC+ CS ONE # INITIALIZE NEAR-ONE SWITCH.
045022,002150: 00,2770 54140 TS MAXDVSW
045023,002151:
045024,002152: 00,2771 40154 CS MPAC # CHECK POSSIBLE OVERFLOW.
045025,002153: 00,2772 60133 AD BUF2 # UNNORMALIZED INPUT DIVISOR.
045026,002154: 00,2773 10000 CCS A
045027,002155: 00,2774 13004 TCF DDVCALL # NOT NEAR-ONE
045028,002156: 00,2775 12777 TCF +2 # +0 IS JUST POSSIBLE
045029,002157: 00,2776 12405 TCF DVOVF # NO HOPE
045030,002158: 00,2777 54140 TS MAXDVSW # SIGNAL POSSIBLE NEAR-ONE CASE
045031,002159: 00,3000 40155 CS MPAC +1 # SEE IF DIVISION CAN BE DONE
045032,002160: 00,3001 60134 AD BUF2 +1
045033,002161: 00,3002 00006 EXTEND
045034,002162: 00,3003 62405 BZMF DVOVF
045035,002163:
045036,002164: 00,3004 52155 DDVCALL DXCH MPAC # CALL PRE-DIVIDE NORMALIZATION.
045037,002165: 00,3005 50137 INDEX DVNORMCT
045038,002166: 00,3006 12565 TCF MAXTEST
045039,002167:
|
|
Page 1069
|
045041,002169: 00,3007 32506 SLOPELO DEC .8324
045042,002170:
045043,002171: 00,3010 56002 VECAGREE XCH Q # SAVE Q IN A
045044,002172: 00,3011 52155 DXCH MPAC
045045,002173: 00,3012 07544 TC ALSIGNAG # SIGNAGREE MPAC
045046,002174: 00,3013 52155 DXCH MPAC
045047,002175: 00,3014 52160 DXCH MPAC +3
045048,002176: 00,3015 07544 TC ALSIGNAG # SIGN AGREE MPAC +3
045049,002177: 00,3016 52160 DXCH MPAC +3
045050,002178: 00,3017 52162 DXCH MPAC +5
045051,002179: 00,3020 07544 TC ALSIGNAG # SIGNAGREE MPAC +5
045052,002180: 00,3021 52162 DXCH MPAC +5
045053,002181: 00,3022 00000 TC A
045054,002182:
|
|
Page 1070
|
045056,002184: # THE FOLLOWING ROUTINE EXECUTES THE UNIT INSTRUCTION, WHICH TAKES THE UNIT OF THE VECTOR IN MPAC.
045057,002185:
045058,002186: 00,3023 03010 UNIT TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR
045059,002187: 00,3024 07532 TC MPACVBUF # SAVE ARGUMENT IN VBUF
045060,002188: 00,3025 34755 CAF ZERO # MUST SENSE OVERFLOW IN FOLLOWING DOT.
045061,002189: 00,3026 56121 XCH OVFIND
045062,002190: 00,3027 54141 TS TEM1
045063,002191: 00,3030 03317 TC VSQSUB # DOT MPAC WITH ITSELF.
045064,002192: 00,3031 30141 CA TEM1
045065,002193: 00,3032 56121 XCH OVFIND
045066,002194: 00,3033 00006 EXTEND
045067,002195: 00,3034 13036 BZF +2
045068,002196: 00,3035 12405 TCF DVOVF
045069,002197: 00,3036 00006 EXTEND
045070,002198: 00,3037 30155 DCA MPAC # LEAVE THE SQUARE OF THE LENGTH OF THE
045071,002199: 00,3040 50120 INDEX FIXLOC # ARGUMENT IN LVSQUARE.
045072,002200: 00,3041 52043 DXCH LVSQUARE
045073,002201:
045074,002202: 00,3042 03343 TC SQRTSUB # GO TAKE THE NORMALIZED SQUARE ROOT.
045075,002203:
045076,002204: 00,3043 10154 CCS MPAC # CHECK FOR UNIT OVERFLOW.
045077,002205: 00,3044 13051 TCF +5 # MPAC IS NOT LESS THAN .5 UNLESS
045078,002206: 00,3045 54001 TS L
045079,002207: 00,3046 50120 INDEX FIXLOC
045080,002208: 00,3047 52045 DXCH LV
045081,002209: 00,3050 12405 TCF DVOVF # INPUT TO SQRTSUB WAS 0.
045082,002210:
045083,002211: 00,3051 44317 CS FOURTEEN # SEE IF THE INPUT WAS SO SMALL THE THE
045084,002212: 00,3052 60135 AD MPTEMP # FIRST TWO REGISTERS OF THE SQUARE WERE 0
045085,002213: 00,3053 10000 CCS A
045086,002214: 00,3054 40000 COM # IF SO, SAVE THE NEGATIVE OF THE SHIFT
045087,002215: 00,3055 13133 TCF SMALL # COUNT -15D.
045088,002216:
045089,002217: 00,3056 13065 TCF LARGE # (THIS IS USUALLY THE CASE.)
045090,002218:
045091,002219: 00,3057 44761 CS THIRTEEN # IF THE SHIFT COUNT WAS EXACTLY 14, SET
045092,002220: 00,3060 54135 TS MPTEMP # THE PRE-DIVIDE NORM COUNT TO -13D.
045093,002221:
045094,002222: 00,3061 30154 CA MPAC # SHIFT THE LENGTH RIGHT 14 BEFORE STORING
045095,002223: 00,3062 54001 SMALL2 TS L # (SMALL EXITS TO THIS POINT).
045096,002224: 00,3063 34755 CAF ZERO
045097,002225: 00,3064 13112 TCF LARGE2 # GO TO STORE LENGTH AND PROCEED.
045098,002226:
045099,002227: 00,3065 10135 LARGE CCS MPTEMP # MOST ALL CASES COME HERE.
045100,002228: 00,3066 13074 TCF LARGE3 # SEE IF NO NORMALIZATION WAS REQUIRED BY
045101,002229:
045102,002230: 00,3067 42024 CS SRDDV # SQRT, AND IF SO, SET UP FOR A SHIFT
045103,002231: 00,3070 54135 TS MPTEMP # RIGHT 1 BEFORE DIVIDING TO PRODUCE
045104,002232: 00,3071 00006 EXTEND # THE DESIRED HALF UNIT VECTOR.
045105,002233: 00,3072 30155 DCA MPAC
|
|
Page 1071
|
045107,002235: 00,3073 13112 TCF LARGE2
045108,002236:
|
|
Page 1072
|
045110,002238: 00,3074 40000 LARGE3 COM # LEAVE NEGATIVE OF SHIFT COUNT-1 FOR
045111,002239: 00,3075 54135 TS MPTEMP # PREDIVIDE LEFT SHIFT.
045112,002240:
045113,002241: 00,3076 40000 COM # PICK UP REQUIRED SHIFTING BIT TO UNNORM-
045114,002242: 00,3077 50000 INDEX A # ALIZE THE SQRT RESULT.
045115,002243: 00,3100 34736 CAF BIT14
045116,002244: 00,3101 54130 TS BUF
045117,002245: 00,3102 00006 EXTEND
045118,002246: 00,3103 70155 MP MPAC +1
045119,002247: 00,3104 56130 XCH BUF
045120,002248: 00,3105 00006 EXTEND # (UNNORMALIZE THE SQRT FOR LV).
045121,002249: 00,3106 70154 MP MPAC
045122,002250: 00,3107 56001 XCH L
045123,002251: 00,3110 60130 AD BUF
045124,002252: 00,3111 56001 XCH L
045125,002253:
045126,002254: 00,3112 50120 LARGE2 INDEX FIXLOC
045127,002255: 00,3113 52045 DXCH LV # LENGTH NOW STORED IN WORK AREA.
045128,002256:
045129,002257: 00,3114 44753 CS ONE
045130,002258: 00,3115 54140 TS MAXDVSW # NO MAXDV CASES IN UNIT.
045131,002259:
045132,002260: 00,3116 52123 DXCH VBUF # PREPARE X COMPONENT FOR DIVIDE, SETTING
045133,002261: 00,3117 52155 DXCH MPAC # LENGTH OF VECTOR AS DIVISOR IN BUF.
045134,002262: 00,3120 52131 DXCH BUF
045135,002263: 00,3121 03151 TC UNITDV
045136,002264:
045137,002265: 00,3122 52125 DXCH VBUF +2 # DO Y AND Z IN USUAL FASHION SO WE CAN
045138,002266: 00,3123 52155 DXCH MPAC # EXIT THROUGH VROTATEX.
045139,002267: 00,3124 52160 DXCH MPAC +3
045140,002268: 00,3125 03151 TC UNITDV
045141,002269:
045142,002270: 00,3126 52127 DXCH VBUF +4
045143,002271: 00,3127 52155 DXCH MPAC
045144,002272: 00,3130 52162 DXCH MPAC +5
045145,002273: 00,3131 03151 TC UNITDV
045146,002274: 00,3132 17420 TCF VROTATEX # AND EXIT.
045147,002275:
|
|
Page 1073
|
045149,002277: # IF THE LENGTH OF THE ARGUMENT VECTOR WAS LESS THAN 2(-28), EACH COMPONENT MUST BE SHIFTED LEFT AT LEAST
045150,002278: # 14 PLACES BEFORE THE DIVIDE. NOTE THAT IN THIS CASE, THE MAJOR PART OF EACH COMPONENT IS ZERO.
045151,002279:
045152,002280: 00,3133 54135 SMALL TS MPTEMP # NEGATIVE OF PRE-DIVIDE SHIFT COUNT.
045153,002281:
045154,002282: 00,3134 34755 CAF ZERO # SHIFT EACH COMPONENT LEFT 14.
045155,002283: 00,3135 56123 XCH VBUF +1
045156,002284: 00,3136 56122 XCH VBUF
045157,002285: 00,3137 56125 XCH VBUF +3
045158,002286: 00,3140 56124 XCH VBUF +2
045159,002287: 00,3141 56127 XCH VBUF +5
045160,002288: 00,3142 56126 XCH VBUF +4
045161,002289:
045162,002290: 00,3143 40135 CS MPTEMP
045163,002291: 00,3144 50000 INDEX A
045164,002292: 00,3145 34736 CAF BIT14
045165,002293: 00,3146 00006 EXTEND
045166,002294: 00,3147 70154 MP MPAC
045167,002295: 00,3150 13062 TCF SMALL2
045168,002296:
045169,002297: 00,3151 4761 THIRTEEN = OCT15
045170,002298: 00,3151 4317 FOURTEEN = OCT16
045171,002299: 00,3151 4317 OCT16 = R1D1
045172,002300:
|
|
Page 1074
|
045174,002302: # THE FOLLOWING ROUTINE SETS UP THE CALL TO THE DIVIDE ROUTINES.
045175,002303:
045176,002304: 00,3151 10154 UNITDV CCS MPAC # FORCE MPAC POSITIVE IF POSSIBLE, SETTING
045177,002305: 00,3152 13170 TCF UMPAC+ # DVSIGN ACCORDING TO THE SIGN OF MPAC
045178,002306: 00,3153 13155 TCF +2 # SINCE THE DIVISOR IS ALWAYS POSITIVE
045179,002307: 00,3154 13162 TCF UMPAC- # HERE.
045180,002308:
045181,002309: 00,3155 10155 CCS MPAC +1
045182,002310: 00,3156 13170 TCF UMPAC+
045183,002311: 00,3157 00002 TC Q # EXIT IMMEDIATELY ON ZERO.
045184,002312: 00,3160 13162 TCF UMPAC-
045185,002313: 00,3161 00002 TC Q
045186,002314:
045187,002315: 00,3162 44755 UMPAC- CS ZERO # IF NEGATIVE, SET -0 IN DVSIGN FOR FINAL
045188,002316: 00,3163 54136 TS DVSIGN # COMPLEMENT.
045189,002317: 00,3164 00006 EXTEND
045190,002318: 00,3165 40155 DCS MPAC # PICK UP ABSOLUTE VALUE OF ARG AND JUMP.
045191,002319: 00,3166 50135 INDEX MPTEMP
045192,002320: 00,3167 12564 TCF MAXTEST -1
045193,002321:
045194,002322: 00,3170 54136 UMPAC+ TS DVSIGN # SET DVSIGN FOR POSITIVE QUOTIENT.
045195,002323: 00,3171 52155 DXCH MPAC
045196,002324: 00,3172 50135 INDEX MPTEMP
045197,002325: 00,3173 12564 TCF MAXTEST -1
045198,002326:
|
|
Page 1075
|
045200,002328: # MISCELLANEOUS UNARY OPERATIONS.
045201,002329:
045202,002330: 00,3174 03300 DSQ TC DSQSUB # SQUARE THE DP CONTENTS OF MPAC.
045203,002331: 00,3175 16061 TCF DANZIG
045204,002332:
045205,002333: 00,3176 10163 ABVALABS CCS MODE # ABVAL OR ABS INSTRUCTION.
045206,002334: 00,3177 13226 TCF ABS # DO ABS ON SCALAR.
045207,002335: 00,3200 13226 TCF ABS
045208,002336:
045209,002337: 00,3201 03317 ABVAL TC VSQSUB # DOT MPAC WITH ITSELF.
045210,002338: 00,3202 22163 LXCH MODE # MODE IS NOW DP (L ZERO AFTER DAS).
045211,002339:
045212,002340: 00,3203 00006 EXTEND # STORE SQUARE OF LENGTH IN WORK AREA.
045213,002341: 00,3204 30155 DCA MPAC
045214,002342: 00,3205 50120 INDEX FIXLOC
045215,002343: 00,3206 52043 DXCH LVSQUARE
045216,002344:
|
|
Page 1076
|
045218,002346: # PROGRAM DESCRIPTION - SUBROUTINE SQRT
045219,002347:
045220,002348: # FUNCTIONAL DESCRIPTION - DOUBLE PRECISION SQUARE ROOT ROUTINE
045221,002349: # THIS PROGRAM TAKES THE SQUARE ROOT OF THE 27 OR 28 MOST SIGNIFICANT BITS IN THE TRIPLE PRECISION SET OF
045222,002350: # NUMBERS - MPAC, MPAC+1, AND MPAC+2. THE ROOT IS RETURNED DOUBLE PRECISION IN MPAC AND MPAC+1.
045223,002351:
045224,002352: # WARNING - THIS SUBROUTINE USES A TRIPLE PRECISION INPUT. THE PROGRAMMER MUST ASSURE THE CONTENTS OF MPAC+2
045225,002353: # ESPECIALLY IF THE CONTENTS OF MPAC IS SMALL OR ZERO. FOR DETAILS SEE STG MEMO NO.949.
045226,002354:
045227,002355: # CALLING SEQUENCE - IN INTERPRETIVE MODE I.E., FOLLOWING TC INTPRET,SQRT NO ADDRESS IS ALLOWED
045228,002356: # INPUT SCALING THE BINARY POINT IS ASSUMED TO THE RIGHT OF BIT 15. THE ANSWER IS RETURNED WITH THE SAME SCALING
045229,002357:
045230,002358: # SUBROUTINES - GENSCR, MPACSHR, SQRTSUB, ABORT
045231,002359:
045232,002360: # ABORT EXIT MODE - ABORTS ON NEGATIVE INPUT -1.2X10E-4 (77775 OCTAL) OR LESS.
045233,002361: # DISPLAYS ERROR CODE 1302
045234,002362: # TC ABORT
045235,002363: # OCT 1302
045236,002364:
045237,002365: # DEBRIS - LOCATIONS BUF, MPTEMP, ADDRWD ARE USED
045238,002366:
045239,002367: 00,3207 03343 SQRT TC SQRTSUB # TAKE THE SQUARE ROOT OF MPAC.
045240,002368: 00,3210 10135 CCS MPTEMP # RETURNED NORMALIZED SQUARE ROOT. SEE IF
045241,002369: 00,3211 13213 TCF +2 # ANY UN-NORMALIZATION REQUIRED AND EXIT
045242,002370: 00,3212 16061 TCF DANZIG # IF NOT.
045243,002371:
045244,002372: 00,3213 63733 AD NEG12 # A RIGHT SHIFT OF MORE THAN 13 COULD BE
045245,002373: 00,3214 00006 EXTEND # REQUIRED IF INPUT WAS ZERO IN MPAC,+1.
045246,002374: 00,3215 63221 BZMF SQRTSHFT # GOES HERE IN MOST CASES.
045247,002375: 00,3216 22007 ZL # IF A LONG SHIFT IS REQUIRED, GO TO
045248,002376: 00,3217 22116 LXCH ADDRWD # GENERAL RIGHT SHIFT ROUTINES.
045249,002377: 00,3220 12303 TCF GENSCR +4 # ADDRWD WAS ZERO TO PREVENT ROUND.
045250,002378:
045251,002379: 00,3221 50135 SQRTSHFT INDEX MPTEMP # SELECT SHIFTING BIT AND EXIT THROUGH
045252,002380: 00,3222 34735 CAF BIT15 # SHIFT ROUTINES.
045253,002381: 00,3223 54135 TS MPTEMP
045254,002382: 00,3224 34755 CAF ZERO # TO ZERO MPAC +2 IN THE PROCESS.
045255,002383: 00,3225 12036 TCF MPACSHR +3
045256,002384:
045257,002385: 00,3226 06723 ABS TC BRANCH # TEST SIGN OF MPAC AND COMPLEMENT IF
045258,002386: 00,3227 16061 TCF DANZIG
045259,002387: 00,3230 16061 TCF DANZIG
045260,002388: 00,3231 17670 TCF COMP
045261,002389:
|
|
Page 1077
|
045263,002391: 00,3232 44751 VDEF CS FOUR # VECTOR DEFINE - ESSENTIALLY TREATS
045264,002392: 00,3233 26166 ADS PUSHLOC # SCALAR IN MPAC AS X COMPONENT, PUSHES UP
045265,002393: 00,3234 00006 EXTEND # FOR Y AND THEN AGAIN FOR Z.
045266,002394: 00,3235 50000 INDEX A
045267,002395: 00,3236 30003 DCA 2
045268,002396: 00,3237 52160 DXCH MPAC +3
045269,002397: 00,3240 00006 EXTEND
045270,002398: 00,3241 50166 INDEX PUSHLOC
045271,002399: 00,3242 30001 DCA 0
045272,002400: 00,3243 52162 DXCH MPAC +5
045273,002401: 00,3244 16521 TCF VMODE # MODE IS NON VECTOR.
045274,002402:
045275,002403: 00,3245 03317 VSQ TC VSQSUB # DOT MPAC WITH ITSELF.
045276,002404: 00,3246 17332 TCF DMODE # MODE IS NOW DP.
045277,002405:
045278,002406: 00,3247 00006 PUSH EXTEND # PUSH DOWN MPAC LEAVING IT LOADED.
045279,002407: 00,3250 30155 DCA MPAC
045280,002408: 00,3251 50166 INDEX PUSHLOC # PUSH DOWN FIRST TWO REGISTERS IN EACH
045281,002409: 00,3252 52001 DXCH 0
045282,002410:
045283,002411: 00,3253 50163 INDEX MODE # INCREMENT PUSHDOWN POINTER.
045284,002412: 00,3254 36244 CAF NO.WDS
045285,002413: 00,3255 26166 ADS PUSHLOC
045286,002414:
045287,002415: 00,3256 10163 CCS MODE
045288,002416: 00,3257 13272 TCF TPUSH # PUSH DOWN MPAC +2.
045289,002417: 00,3260 16061 TCF DANZIG # DONE FOR DP.
045290,002418:
045291,002419: 00,3261 00006 EXTEND # ON VECTOR, PUSH DOWN Y AND Z COMPONENTS.
045292,002420: 00,3262 30160 DCA MPAC +3
045293,002421: 00,3263 50166 INDEX PUSHLOC
045294,002422: 00,3264 51775 DXCH 0 -4
045295,002423: 00,3265 00006 EXTEND
045296,002424: 00,3266 30162 DCA MPAC +5
045297,002425: 00,3267 50166 INDEX PUSHLOC
045298,002426: 00,3270 51777 DXCH 0 -2
045299,002427: 00,3271 16061 TCF DANZIG
045300,002428:
045301,002429: 00,3272 30156 TPUSH CA MPAC +2
045302,002430: 00,3273 16554 TCF ENDTPUSH +2
045303,002431:
045304,002432: 00,3274 50120 RVQ INDEX FIXLOC # RVQ - RETURN IVA QPRET.
045305,002433: 00,3275 30052 CA QPRET
045306,002434: 00,3276 54117 TS POLISH
045307,002435: 00,3277 16652 TCF GOTO +4 # (ASSUME QPRET POINTS TO FIXED ONLY.)
045308,002436:
|
|
Page 1078
|
045310,002438: # THE FOLLOWING SUBROUTINES ARE USED IN SQUARING MPAC, IN BOTH THE SCALAR AND VECTOR SENSE. THEY ARE
045311,002439: # SPECIAL CASES OF DMPSUB AND DOTSUB, PUT IN TO SAVE SOME TIME.
045312,002440:
045313,002441: 00,3300 30155 DSQSUB CA MPAC +1 # SQUARES THE SCALAR CONTENTS OF MPAC.
045314,002442: 00,3301 00006 EXTEND
045315,002443: 00,3302 70000 SQUARE
045316,002444: 00,3303 54156 TS MPAC +2
045317,002445: 00,3304 34755 CAF ZERO # FORM 2(CROSS TERM).
045318,002446: 00,3305 56155 XCH MPAC +1
045319,002447: 00,3306 00006 EXTEND
045320,002448: 00,3307 70154 MP MPAC
045321,002449: 00,3310 20001 DDOUBL # AND MAYBE OVERFLOW.
045322,002450: 00,3311 20156 DAS MPAC +1 # AND SET A TO NET OVERFLOW.
045323,002451: 00,3312 56154 XCH MPAC
045324,002452: 00,3313 00006 EXTEND
045325,002453: 00,3314 70000 SQUARE
045326,002454: 00,3315 20155 DAS MPAC
045327,002455: 00,3316 00002 TC Q
045328,002456:
045329,002457: 00,3317 00006 VSQSUB EXTEND # DOTS THE VECTOR IN MPAC WITH ITSELF.
045330,002458: 00,3320 22137 QXCH DOTRET
045331,002459: 00,3321 03300 TC DSQSUB # SQUARE THE X COMPONENT.
045332,002460: 00,3322 52160 DXCH MPAC +3
045333,002461: 00,3323 52155 DXCH MPAC
045334,002462: 00,3324 52131 DXCH BUF # SO WE CAN END IN DOTSUB.
045335,002463: 00,3325 30156 CA MPAC +2
045336,002464: 00,3326 54132 TS BUF +2
045337,002465:
045338,002466: 00,3327 03300 TC DSQSUB # SQUARE Y COMPONENT.
045339,002467: 00,3330 52156 DXCH MPAC +1
045340,002468: 00,3331 20132 DAS BUF +1
045341,002469: 00,3332 60154 AD MPAC
045342,002470: 00,3333 60130 AD BUF
045343,002471: 00,3334 54130 TS BUF
045344,002472: 00,3335 13337 TCF +2
045345,002473: 00,3336 54121 TS OVFIND # IF OVERFLOW.
045346,002474:
045347,002475: 00,3337 52162 DXCH MPAC +5
045348,002476: 00,3340 52155 DXCH MPAC
045349,002477: 00,3341 03300 TC DSQSUB # SQUARE Z COMPONENT.
045350,002478: 00,3342 17205 TCF ENDDOT # END AS IN DOTSUB.
045351,002479:
|
|
Page 1079
|
045353,002481: # DOUBLE PRECISION SQUARE ROOT ROUTINE. TAKE THE SQUARE ROOT OF THE TRIPLE PRECISION (MPAC +2 USED ONLY
045354,002482: # IN NORMALIZATION) CONTENTS OF MPAC AND LEAVE THE NORMALIZED RESULT IN MPAC (C(MPAC) GREATER THAN OR EQUAL TO
045355,002483: # .5). THE RIGHT SHIFT COUNT (TO UNNORMALIZE) IS LEFT IN MPTEMP.
045356,002484:
045357,002485: 00,3343 34755 SQRTSUB CAF ZERO # START BY ZEROING RIGHT SHIFT COUNT.
045358,002486: 00,3344 54135 TS MPTEMP
045359,002487:
045360,002488: 00,3345 10154 CCS MPAC # CHECK FOR POSITIVE ARGUMENT, SHIFTING
045361,002489: 00,3346 13405 TCF SMPAC+ # FIRST SIGNIFICANT MPAC REGISTER INTO
045362,002490: 00,3347 13351 TCF +2 # MPAC ITSELF.
045363,002491: 00,3350 13373 TCF SQRTNEG # SEE IF MAG OF ARGUMENT LESS THAN 10(-4).
045364,002492:
045365,002493: 00,3351 56156 XCH MPAC +2 # MPAC IS ZERO - SHIFT LEFT 14.
045366,002494: 00,3352 56155 XCH MPAC +1
045367,002495: 00,3353 54154 TS MPAC
045368,002496: 00,3354 34757 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER.
045369,002497: 00,3355 54135 TS MPTEMP
045370,002498:
045371,002499: 00,3356 10154 CCS MPAC # SEE IF MPAC NOW PNZ.
045372,002500: 00,3357 13405 TCF SMPAC+
045373,002501: 00,3360 13362 TCF +2
045374,002502: 00,3361 13376 TCF ZEROANS # NEGATIVE BUT LESS THAN 10(-4) IN MAG.
045375,002503:
045376,002504: 00,3362 56155 XCH MPAC +1 # ZERO - SHIFT LEFT 14 AGAIN.
045377,002505: 00,3363 54154 TS MPAC
045378,002506: 00,3364 34757 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER.
045379,002507: 00,3365 26135 ADS MPTEMP
045380,002508:
045381,002509: 00,3366 10154 CCS MPAC
045382,002510: 00,3367 13405 TCF SMPAC+
045383,002511: 00,3370 00002 TC Q # SQRT(0) = 0.
045384,002512: 00,3371 13376 TCF ZEROANS
045385,002513: 00,3372 13453 TCF FIXROOT # DO NOT LEAVE SQRTSUB WITH -0 IN MPAC.
045386,002514:
045387,002515: 00,3373 10000 SQRTNEG CCS A # ARGUMENT IS NEGATIVE, BUT SEE IF SIGN-
045388,002516: 00,3374 13402 TCF SQRTABRT # CORRECTED ARGUMENT IS LESS THAN 10(-4)
045389,002517:
045390,002518: 00,3375 10155 CCS MPAC +1 # IN MAGNITUDE. IF SO, CALL ANSWER ZERO.
045391,002519: 00,3376 34755 ZEROANS CAF ZERO # FORCE ANSWER TO ZERO HERE.
045392,002520: 00,3377 13453 TCF FIXROOT
045393,002521: 00,3400 13402 TCF SQRTABRT
045394,002522: 00,3401 13453 TCF FIXROOT
045395,002523:
045396,002524: 00,3402 52165 SQRTABRT DXCH LOC
045397,002525: 00,3403 05726 TC POODOO1
045398,002526: 00,3404 01302 OCT 1302
045399,002527:
|
|
Page 1080
|
045401,002529: 00,3405 62444 SMPAC+ AD -1/2+2 # SEE IF ARGUMENT GREATER THAN OR EQUAL TO
045402,002530: 00,3406 00006 EXTEND # .5.
045403,002531: 00,3407 63456 BZMF SRTEST # IF SO, SEE IF LESS THAN .25.
045404,002532:
045405,002533: 00,3410 52155 DXCH MPAC # WE WILL TAKE THE SQUARE ROOT OF MPAC/2.
045406,002534: 00,3411 22021 LXCH SR # SHIFT RIGHT 1 AND GO TO THE SQRT ROUTINE
045407,002535: 00,3412 00006 EXTEND
045408,002536: 00,3413 74736 MP HALF
045409,002537: 00,3414 52155 DXCH MPAC
045410,002538: 00,3415 56021 XCH SR
045411,002539: 00,3416 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW.
045412,002540:
045413,002541: 00,3417 32314 ARGHI CAF SLOPEHI # ARGUMENT BETWEEN .25 AND .5. GET A
045414,002542: 00,3420 00006 EXTEND # LINEAR APPROXIMATION FOR THIS RANGE.
045415,002543: 00,3421 70154 MP MPAC
045416,002544: 00,3422 62566 AD BIASHI # X0/2 = (MPAC/2)(SLOPEHI) + BIASHI/2.
045417,002545:
045418,002546: 00,3423 54130 +4 TS BUF # X0/2 (ARGLO ENTERS HERE).
045419,002547: 00,3424 30154 CA MPAC # SINGLE-PRECISION THROUGHOUT.
045420,002548: 00,3425 22007 ZL
045421,002549: 00,3426 00006 EXTEND
045422,002550: 00,3427 10130 DV BUF # (MPAC/2)/(X0/2)
045423,002551: 00,3430 00006 EXTEND
045424,002552: 00,3431 74736 MP HALF
045425,002553: 00,3432 26130 ADS BUF # X1 = X0/2 + .5(MPAC/2)/(X0/2).
045426,002554:
045427,002555: 00,3433 00006 EXTEND
045428,002556: 00,3434 74736 MP HALF # FORM UP X1/2.
045429,002557: 00,3435 52155 DXCH MPAC # SAVE AND BRING OUT ARGUMENT.
045430,002558: 00,3436 00006 EXTEND # TAKE DP QUOTIENT WITH X1.
045431,002559: 00,3437 10130 DV BUF
045432,002560: 00,3440 54131 TS BUF +1 # SAVE MAJOR PART OF QUOTIENT.
045433,002561: 00,3441 34755 CAF ZERO # FORM MINOR PART OF QUOTIENT USING
045434,002562: 00,3442 56001 XCH L # (REMAINDER,0).
045435,002563: 00,3443 00006 EXTEND
045436,002564: 00,3444 10130 DV BUF
045437,002565: 00,3445 54001 TS L # IN PREPARATION FOR DAS.
045438,002566: 00,3446 30131 CA BUF +1
045439,002567: 00,3447 20155 DAS MPAC # X2 = X1/2 + (MPAC/2)X1
045440,002568:
045441,002569: 00,3450 00006 EXTEND # OVERFLOWS IF ARG. NEAR POSMAX.
045442,002570: 00,3451 13455 BZF TCQBNK00
045443,002571: 00,3452 34733 CAF POSMAX
045444,002572: 00,3453 54154 FIXROOT TS MPAC
045445,002573: 00,3454 54155 TS MPAC +1
045446,002574: 00,3455 00002 TCQBNK00 TC Q # RETURN TO CALLER TO UNNORMALIZE, ETC.
045447,002575:
|
|
Page 1081
|
045449,002577: 00,3456 64737 SRTEST AD QUARTER # ARGUMENT WAS LESS THAN .5, SEE IF LESS
045450,002578: 00,3457 00006 EXTEND # THAN .25.
045451,002579: 00,3460 63502 BZMF SQRTNORM # IF SO, BEGIN NORMALIZATION.
045452,002580:
045453,002581: 00,3461 52155 DXCH MPAC # IF BETWEEN .5 AND .25, SHIFT RIGHT 1 AND
045454,002582: 00,3462 22021 LXCH SR # START AT ARGLO.
045455,002583: 00,3463 00006 EXTEND
045456,002584: 00,3464 74736 MP HALF
045457,002585: 00,3465 52155 DXCH MPAC
045458,002586: 00,3466 56021 XCH SR
045459,002587: 00,3467 26155 ADS MPAC +1 # NO OVERFLOW.
045460,002588:
045461,002589: 00,3470 33007 ARGLO CAF SLOPELO # (NORMALIZED) ARGUMENT BETWEEN .125 AND
045462,002590: 00,3471 00006 EXTEND # .25
045463,002591: 00,3472 70154 MP MPAC
045464,002592: 00,3473 62270 AD BIASLO
045465,002593: 00,3474 13423 TCF ARGHI +4 # BEGIN SQUARE ROOT.
045466,002594:
045467,002595: 00,3475 00006 SQRTNM2 EXTEND # SHIFT LEFT 2 AND INCREMENT RIGHT SHIFT
045468,002596: 00,3476 30156 DCA MPAC +1 # COUNT (FOR TERMINAL UNNORMALIZATION).
045469,002597: 00,3477 20156 DAS MPAC +1
045470,002598: 00,3500 60154 AD MPAC
045471,002599: 00,3501 26154 ADS MPAC # (NO OVERFLOW).
045472,002600:
045473,002601: 00,3502 24135 SQRTNORM INCR MPTEMP # FIRST TIME THROUGH, JUST SHIFT LEFT 1
045474,002602: 00,3503 00006 EXTEND # (PUTS IN EFFECTIVE RIGHT SHIFT SINCE
045475,002603: 00,3504 30156 DCA MPAC +1 # WE WANT MPAC/2).
045476,002604: 00,3505 20156 DAS MPAC +1
045477,002605: 00,3506 60154 AD MPAC
045478,002606: 00,3507 26154 ADS MPAC # (AGAIN NO OVERFLOW).
045479,002607: 00,3510 60000 DOUBLE
045480,002608: 00,3511 54022 TS CYL
045481,002609:
045482,002610: 00,3512 10022 NORMTEST CCS CYL # SEE IF ARGUMENT NOW NORMALIZED AT
045483,002611: 00,3513 10022 CCS CYL # GREATER THAN .125.
045484,002612: 00,3514 13475 TCF SQRTNM2 # NO - SHIFT LEFT 2 MORE AND TRY AGAIN.
045485,002613: 00,3515 13417 TCF ARGHI # YES - NOW BETWEEN .5 AND .25.
045486,002614: 00,3516 13470 TCF ARGLO # ARGUMENT NOW BETWEEN .25 AND .125.
045487,002615:
|
|
Page 1082
|
045489,002617: # TRIGONOMETRIC FUNCTION PACKAGE.
045490,002618: # THE FOLLOWING TRIGONOMETRIC FUNCTIONS ARE AVAILABLE AS INTERPRETIVE OPERATIONS:
045491,002619: # 1. SIN COMPUTES (1/2)SINE(2 PI MPAC).
045492,002620: # 2. COS COMPUTES (1/2)COSINE(2 PI MPAC).
045493,002621: # 3. ASIN COMPUTES (1/2PI)ARCSINE(2 MPAC).
045494,002622: # 4. ACOS COMPUTES (1/2PI)ARCCOSINE(2 MPAC).
045495,002623:
045496,002624: # SIN-ASIN AND COS-ACOS ARE MUTUALLY INVERSE, IE SIN(ASIN(X)) = X.
045497,002625:
045498,002626: 00,3517 06723 COSINE TC BRANCH # FINDS COSINE USING THE IDENTITY
045499,002627: 00,3520 13523 TCF +3 # COS(X) = SIN(PI/2 - ABS(X)).
045500,002628: 00,3521 13526 TCF PRESINE
045501,002629: 00,3522 13526 TCF PRESINE
045502,002630:
045503,002631: 00,3523 00006 +3 EXTEND
045504,002632: 00,3524 40155 DCS MPAC
045505,002633: 00,3525 52155 DXCH MPAC
045506,002634:
045507,002635: 00,3526 34737 PRESINE CAF QUARTER # PI/2 SCALED.
045508,002636: 00,3527 26154 ADS MPAC
045509,002637:
045510,002638: 00,3530 52155 SINE DXCH MPAC # DOUBLE ARGUMENT.
045511,002639: 00,3531 20001 DDOUBL
045512,002640: 00,3532 54000 OVSK # SEE IF OVERFLOW PRESENT.
045513,002641: 00,3533 13536 TCF +3 # IF NOT, ARGUMENT OK AS IS.
045514,002642:
045515,002643: 00,3534 00006 EXTEND # IF SO, WE LOST (OR GAINED) PI, SO
045516,002644: 00,3535 40001 DCOM # COMPLEMENT MPAC USING THE IDENTITY
045517,002645: # SIN(X-(+)PI) = SIN(-X).
045518,002646: 00,3536 52155 +3 DXCH MPAC
045519,002647: 00,3537 30154 CA MPAC # SEE IF ARGUMENT GREATER THAN .5 IN
045520,002648: 00,3540 60000 DOUBLE # MAGNITUDE. IF SO, REDUCE IT TO LESS THAN
045521,002649: 00,3541 54001 TS L # .5 (+-PI/2 SCALED) AS FOLLOWS:
045522,002650: 00,3542 13553 TCF SN1
045523,002651:
045524,002652: 00,3543 50000 INDEX A # IF POSITIVE, FORM PI - X, IF NEGATIVE
045525,002653: 00,3544 34735 CAF NEG1/2 +1 # USE -PI -X.
045526,002654: 00,3545 60000 DOUBLE
045527,002655: 00,3546 00006 EXTEND
045528,002656: 00,3547 60154 SU MPAC # GUARANTEED NO OVERFLOW.
045529,002657: 00,3550 54154 TS MPAC
045530,002658: 00,3551 40155 CS MPAC +1
045531,002659: 00,3552 54155 TS MPAC +1
045532,002660:
|
|
Page 1083
|
045534,002662: 00,3553 00006 SN1 EXTEND # SET UP TO EVALUATE HASTINGS POLYNOMIAL
045535,002663: 00,3554 30155 DCA MPAC
045536,002664: 00,3555 52134 DXCH BUF2
045537,002665: 00,3556 03300 TC DSQSUB # SQUARE MPAC.
045538,002666:
045539,002667: 00,3557 07222 TC POLY # EVALUATE FOURTH ORDER POLYNOMIAL.
045540,002668: 00,3560 00003 DEC 3 B-14
045541,002669: 00,3561 14441 37325 2DEC +.3926990796
045542,002670:
045543,002671: 00,3563 53250 60764 2DEC -.6459637111
045544,002672:
045545,002673: 00,3565 12146 21276 2DEC +.318758717
045546,002674:
045547,002675: 00,3567 75466 71471 2DEC -.074780249
045548,002676:
045549,002677: 00,3571 00236 32757 2DEC +.009694988
045550,002678:
045551,002679: 00,3573 32470 CAF LBUF2 # MULTIPLY BY ARGUMENT AND SHIFT LEFT 2.
045552,002680: 00,3574 07106 TC DMPSUB -1
045553,002681:
045554,002682: 00,3575 00006 EXTEND
045555,002683: 00,3576 30156 DCA MPAC +1
045556,002684: 00,3577 20156 DAS MPAC +1
045557,002685: 00,3600 60154 AD MPAC
045558,002686: 00,3601 26154 ADS MPAC # NEITHER SHIFT OVERFLOWS.
045559,002687: 00,3602 00006 EXTEND
045560,002688: 00,3603 30156 DCA MPAC +1
045561,002689: 00,3604 20156 DAS MPAC +1
045562,002690: 00,3605 60154 AD MPAC
045563,002691: 00,3606 26154 ADS MPAC
045564,002692: 00,3607 16061 TCF DANZIG
045565,002693:
|
|
Page 1084
|
045567,002695: # ARCSIN/ARCCOS ROUTINE.
045568,002696:
045569,002697: 00,3610 33631 ARCSIN CAF LASINEX # COMPUTE ARCSIN BY USING THE IDENTITY
045570,002698: 00,3611 13613 TCF +2 # ARCSIN(X) = PI/2 - ARCCOS(X).
045571,002699:
045572,002700: 00,3612 33713 ARCCOS CAF LDANZIG # (EXITS IMMEDIATELY).
045573,002701: 00,3613 54136 TS ESCAPE
045574,002702: 00,3614 06723 TC BRANCH # TEST SIGN OF INPUT.
045575,002703: 00,3615 13625 TCF ACOSST # START IMMEDIATELY IF POSITIVE.
045576,002704: 00,3616 13731 TCF ACOSZERO # ARCCOS(0) = PI/2 = .25.
045577,002705: 00,3617 00006 EXTEND # IF NEGATIVE, USE THE IDENTITY
045578,002706: 00,3620 40155 DCS MPAC # ARCCOS(X) = PI - ARCCOS(-X), FORCING
045579,002707: 00,3621 52155 DXCH MPAC # ARGUMENT POSITIVE.
045580,002708: 00,3622 33734 CAF TCSUBTR # SET EXIT TO DO ABOVE BEFORE
045581,002709: 00,3623 56136 XCH ESCAPE # ARCSIN/ARCCOS CONSIDERATIONS.
045582,002710: 00,3624 54137 TS ESCAPE2
045583,002711:
045584,002712: 00,3625 44736 ACOSST CS HALF # TEST MAGNITUDE OF INPUT.
045585,002713: 00,3626 60154 AD MPAC
045586,002714: 00,3627 10000 CCS A
045587,002715: 00,3630 13721 TCF ACOSOVF # THIS IS PROBABLY AN OVERFLOW CASE.
045588,002716:
045589,002717: 00,3631 13707 LASINEX TCF ASINEX
045590,002718:
045591,002719: 00,3632 13642 TCF ACOSST2 # NO OVERFLOW - PROCEED.
045592,002720:
045593,002721: 00,3633 10155 CCS MPAC +1 # IF MAJOR PART IS .5, CALL ANSWER 0
045594,002722: 00,3634 34755 CAF ZERO # UNLESS MINOR PART NEGATIVE.
045595,002723: 00,3635 13637 TCF ACOS=0
045596,002724:
045597,002725: 00,3636 13642 TCF ACOSST2
045598,002726:
045599,002727: 00,3637 54155 ACOS=0 TS MPAC +1
045600,002728: 00,3640 54154 TS MPAC
045601,002729: 00,3641 00136 TC ESCAPE
045602,002730:
045603,002731: 00,3642 00006 ACOSST2 EXTEND # NOW THAT ARGUMENT IS IN PROPER RANGE,
045604,002732: 00,3643 40155 DCS MPAC # BEGIN COMPUTATION. USE HASTINGS
045605,002733: 00,3644 64736 AD HALF # APPROXIMATION ARCCOS(X) = SQRT(1-X)P(X)
045606,002734: 00,3645 52155 DXCH MPAC # IN A SCALED VERSION WHERE P(X) IS A
045607,002735: 00,3646 52134 DXCH BUF2 # SEVENTH ORDER POLYNOMIAL.
045608,002736:
045609,002737: 00,3647 03343 TC SQRTSUB # RETURNS WITH NORMALIZED SQUARE ROOT.
045610,002738:
045611,002739: 00,3650 10135 CCS MPTEMP # SEE IF UN-NORMALIZATION REQUIRED.
045612,002740: 00,3651 13714 TCF ACOSSHR # IF SO.
045613,002741:
|
|
Page 1085
|
045615,002743: 00,3652 52155 ACOS3 DXCH MPAC # SET UP FOR POLYNOMIAL EVALUATION.
045616,002744: 00,3653 52134 DXCH BUF2
045617,002745: 00,3654 52155 DXCH MPAC
045618,002746:
045619,002747: 00,3655 07222 TC POLY
045620,002748: 00,3656 00006 DEC 6 B-14
045621,002749: 00,3657 13240 23630 2DEC +.353553385 # COEFFICIENTS ARE C 2(+I)/PISQRT(2) WHERE
045622,002750:
045623,002751: 00,3661 74721 47775 2DEC* -.0483017006 B+1* # I
045624,002752:
045625,002753: 00,3663 02440 20237 2DEC* +.0200273085 B+2* # WHERE C STANDS FOR ORIGINAL COEFFS.
045626,002754:
045627,002755: 00,3665 75067 70742 2DEC* -.0112931863 B+3*
045628,002756:
045629,002757: 00,3667 03436 26756 2DEC* +.00695311612 B+4*
045630,002758:
045631,002759: 00,3671 74037 57640 2DEC* -.00384617957 B+5*
045632,002760:
045633,002761: 00,3673 03046 07143 2DEC* +.001501297736 B+6*
045634,002762:
045635,002763: 00,3675 76654 42244 2DEC* -.000284160334 B+7*
045636,002764:
045637,002765:
045638,002766: 00,3677 32470 CAF LBUF2 # DO FINAL MULTIPLY AND GO TO ANY
045639,002767: 00,3700 07106 TC DMPSUB -1 # EPILOGUE SEQUENCES.
045640,002768: 00,3701 00136 TC ESCAPE
045641,002769:
045642,002770: 00,3702 00006 SUBTR EXTEND # EPILOGUE FOR NEGATIVE INPUTS TO ARCCOS.
045643,002771: 00,3703 40155 DCS MPAC
045644,002772: 00,3704 64736 AD HALF # FORMS PI - ARCCOS(-X) = ARCCOS(X).
045645,002773: 00,3705 52155 DXCH MPAC
045646,002774: 00,3706 00137 TC ESCAPE2 # GO TO POSSIBLE ARCSIN EPILOGUE.
045647,002775:
045648,002776: 00,3707 00006 ASINEX EXTEND
045649,002777: 00,3710 40155 DCS MPAC # ARCSIN EPILOGUE - GET ARCSIN(X)
045650,002778: 00,3711 64737 AD QUARTER # = PI/2 - ARCCOS(X).
045651,002779: 00,3712 52155 DXCH MPAC
045652,002780: 00,3713 16061 LDANZIG TCF DANZIG
045653,002781:
|
|
Page 1086
|
045655,002783: 00,3714 50000 ACOSSHR INDEX A # THE SHIFT RIGHT IS LESS THAN 14 SINCE
045656,002784: 00,3715 34736 CAF BIT14 # THE INPUT WAS NON-ZERO DP.
045657,002785: 00,3716 54135 TS MPTEMP
045658,002786: 00,3717 02073 TC VSHRRND # DP SHIFT RIGHT AND ROUND.
045659,002787: 00,3720 13652 TCF ACOS3 # PROCEED.
045660,002788:
045661,002789: 00,3721 00006 ACOSOVF EXTEND # IF MAJOR PART WAS ONLY 1 MORE THAN .5,
045662,002790: 00,3722 13637 BZF ACOS=0 # CALL ANSWER ZERO.
045663,002791:
045664,002792: 00,3723 00006 ACOSABRT EXTEND # IF OVERFLOW, CALL ANSWER ZERO BUT
045665,002793: 00,3724 30165 DCA LOC # SOUND AN ALARM.
045666,002794: 00,3725 05732 TC ALARM1
045667,002795: 00,3726 01301 OCT 1301
045668,002796:
045669,002797: 00,3727 34755 CAF ZERO
045670,002798: 00,3730 13637 TCF ACOS=0
045671,002799:
045672,002800: 00,3731 34737 ACOSZERO CAF QUARTER # ACOS(0) = PI/2.
045673,002801: 00,3732 13640 TCF ACOS=0 +1 # SET MPAC AND EXIT VIA ESCAPE.
045674,002802:
045675,002803: 00,3733 77763 NEG12 DEC -12 B-14
045676,002804: 00,3734 13702 TCSUBTR TCF SUBTR
045677,002805:
|
|
Page 1087
|
045679,002807: # THE FOLLOWING INSTRUCTIONS ARE AVAILABLE FOR SETTING, MODIFYING, AND BRANCHING ON INDEX REGISTERS:
045680,002808: # 1. AXT ADDRESS TO INDEX TRUE.
045681,002809: # 1. AXC ADDRESS TO INDEX COMPLEMENTED.
045682,002810: # 3. LXA LOAD INDEX FROM ERASABLE.
045683,002811: # 4. LXC LOAD INDEX COMPLEMENTED FROM ERASABLE.
045684,002812: # 5. SXA STORE INDEX IN ERASABLE.
045685,002813: # 6. XCHX EXCHANGE INDEX REIGSTER WITH ERASABLE.
045686,002814:
045687,002815: # 7. INCR INCREMENT INDEX REGISTER.
045688,002816: # 8. XAD ERASABLE ADD TO INDEX REGISTER.
045689,002817: # 9. XSU ERASABLE SUBTRACT FROM INDEX REGISTER.
045690,002818: # 10. TIX BRANCH ON INDEX REGISTER AND DECREMENT.
045691,002819:
045692,002820: 01,2344 BANK 01
045693,002821:
045694,002822: 01,2344 COUNT* $$/INTER
045695,002823: 01,2344 02441 AXT TC TAGSUB # SELECT APPROPRIATE INDEX REGISTER.
045696,002824: 01,2345 30117 CA POLISH
045697,002825: 01,2346 50130 XSTORE INDEX INDEXLOC # CONTAINS C(FIXLOC) OR C(FIXLOC)+1.
045698,002826: 01,2347 54046 TS X1
045699,002827: 01,2350 16061 TCF DANZIG
045700,002828:
045701,002829: 01,2351 02441 AXC TC TAGSUB
045702,002830: 01,2352 40117 CS POLISH
045703,002831: 01,2353 02346 TC XSTORE
045704,002832:
045705,002833: 01,2354 02427 LXA TC 15ADRERS # LOAD INDEX REGISTER FROM ERASABLE.
045706,002834: 01,2355 50117 INDEX POLISH
045707,002835: 01,2356 30000 CA 0
045708,002836: 01,2357 12346 TCF XSTORE
045709,002837:
045710,002838: 01,2360 02427 LXC TC 15ADRERS # LOAD NDX REG FROM ERASABLE COMPLEMENTED.
045711,002839: 01,2361 50117 INDEX POLISH
045712,002840: 01,2362 40000 CS 0
045713,002841: 01,2363 12346 TCF XSTORE
045714,002842:
045715,002843: 01,2364 02427 SXA TC 15ADRERS # STORE INDEX REGISTER IN ERASABLE.
045716,002844: 01,2365 50130 INDEX INDEXLOC
045717,002845: 01,2366 30046 CA X1
045718,002846: 01,2367 50117 MSTORE1 INDEX POLISH
045719,002847: 01,2370 54000 TS 0
045720,002848: 01,2371 16061 TCF DANZIG
045721,002849:
|
|
Page 1088
|
045723,002851: 01,2372 02427 XCHX TC 15ADRERS # EXCHANGE INDEX REGISTER WITH ERASABLE.
045724,002852: 01,2373 50117 INDEX POLISH
045725,002853: 01,2374 30000 CA 0
045726,002854: 01,2375 50130 INDEX INDEXLOC
045727,002855: 01,2376 56046 XCH X1
045728,002856: 01,2377 12367 TCF MSTORE1
045729,002857:
045730,002858: 01,2400 02427 XAD TC 15ADRERS # ADD ERASABLE TO INDEX REGISTER.
045731,002859: 01,2401 50117 INDEX POLISH
045732,002860: 01,2402 30000 CA 0
045733,002861: 01,2403 50130 XAD2 INDEX INDEXLOC
045734,002862: 01,2404 26046 ADS X1 # IGNORING OVERFLOWS.
045735,002863: 01,2405 16061 TCF DANZIG
045736,002864:
045737,002865: 01,2406 02441 INCR TC TAGSUB # INCREMENT INDEX REGISTER.
045738,002866: 01,2407 30117 CA POLISH
045739,002867: 01,2410 12403 TCF XAD2
045740,002868:
045741,002869: 01,2411 02427 XSU TC 15ADRERS # SUBTRACT ERASABLE FROM INDEX REGISTER.
045742,002870: 01,2412 50117 INDEX POLISH
045743,002871: 01,2413 40000 CS 0
045744,002872: 01,2414 12403 TCF XAD2
045745,002873:
045746,002874: 01,2415 02441 TIX TC TAGSUB # BRANCH AND DECREMENT ON INDEX.
045747,002875: 01,2416 50130 INDEX INDEXLOC
045748,002876: 01,2417 40050 CS S1
045749,002877: 01,2420 50130 INDEX INDEXLOC
045750,002878: 01,2421 60046 AD X1
045751,002879: 01,2422 00006 EXTEND # NO OPERATION IF DECREMENTED INDEX IS
045752,002880: 01,2423 66061 BZMF DANZIG # NEGATIVE OR ZERO.
045753,002881:
045754,002882: 01,2424 50130 DOTIXBR INDEX INDEXLOC
045755,002883: 01,2425 56046 XCH X1 # IGNORING OVERFLOWS.
045756,002884:
045757,002885: 01,2426 16646 TCF GOTO # DO THE BRANCH USING THE CADR IN POLISH.
045758,002886:
|
|
Page 1089
|
045760,002888: # SUBROUTINE TO CONVERT AN ERASABLE ADDRESS (11 BITS) TO AN EBANK SETTING AND SUBADDRESS.
045761,002889:
045762,002890: 01,2427 40117 15ADRERS CS POLISH
045763,002891: 01,2430 64772 AD DEC45
045764,002892: 01,2431 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA?
045765,002893: 01,2432 30120 CA FIXLOC # YES. ADD FIXLOC. EBANK OK AS IS.
045766,002894: 01,2433 12440 TCF +5
045767,002895:
045768,002896: 01,2434 35007 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS.
045769,002897: 01,2435 56117 XCH POLISH
045770,002898: 01,2436 54003 TS EBANK
045771,002899: 01,2437 74357 MASK LOW8
045772,002900: 01,2440 26117 +5 ADS POLISH # FALL INTO TAGSUB, AND RETURN VIA Q.
045773,002901:
045774,002902: # SUBROUTINE WHICH SETS THE ADDRESS OF THE SPECIFIED INDEX IN INDEXLOC. (ACTUALLY, THE ADDRESS -38D.)
045775,002903:
045776,002904: 01,2441 30120 TAGSUB CA FIXLOC
045777,002905: 01,2442 54130 TS INDEXLOC
045778,002906:
045779,002907: 01,2443 10020 CCS CYR # BIT 15 SPECIFIES INDEX.
045780,002908: 01,2444 24130 INCR INDEXLOC # 0 MEANS USE X2.
045781,002909: 01,2445 00002 TC Q
045782,002910: 01,2446 00002 TC Q # 1 FOR X1.
045783,002911:
|
|
Page 1090
|
045785,002913: # MISCELLANEOUS OPERATION CODES WITH DIRECT ADDRESSES. INCLUDED HERE ARE:
045786,002914: # 1. ITA STORE QPRET (RETURN ADDRESS) IN ERASABLE.
045787,002915: # 2. CALL CALL A SUBROUTINE, LEAVING RETURN IN QPRET.
045788,002916: # 3. RTB RETURN TO BASIC LANGUAGE AT THE GIVEN ADDRESS.
045789,002917: # 4. BHIZ BRANCH IF THE HIGH ORDER OF MPAC IS ZERO (SINGLE PRECISION).
045790,002918: # 5. BOV BRANCH ON OVERFLOW.
045791,002919: # 6. GOTO SIMPLE SEQUENCE CHANGE.
045792,002920:
045793,002921: 01,2447 10020 RTB/BHIZ CCS CYR
045794,002922: 01,2450 30117 RTB CA POLISH
045795,002923: 01,2451 04621 TC SWCALL -1 # SO A "TC Q" FROM ROUTINE LEADS TO DANZIG
045796,002924:
045797,002925: 01,2452 10154 BHIZ CCS MPAC
045798,002926: 01,2453 16061 TCF DANZIG
045799,002927: 01,2454 16646 TCF GOTO
045800,002928: 01,2455 16061 TCF DANZIG
045801,002929: 01,2456 16646 TCF GOTO
045802,002930:
045803,002931: 01,2457 10121 BOV(B) CCS OVFIND # BRANCH ON OVERFLOW TO BASIC OR INTERP.
045804,002932: 01,2460 12462 TCF +2
045805,002933: 01,2461 16061 TCF DANZIG
045806,002934: 01,2462 54121 TS OVFIND
045807,002935: 01,2463 10020 CCS CYR
045808,002936: 01,2464 12450 TCF RTB # IF BASIC.
045809,002937: 01,2465 00360 B5TOBB OCT 360
045810,002938: 01,2466 16646 TCF GOTO
045811,002939:
|
|
Page 1091
|
045813,002941: 01,2467 10020 BZE/GOTO CCS CYR # SEE WHICH OP-CODE IS DESIRED.
045814,002942: 01,2470 06723 TC BRANCH # DO BZE.
045815,002943: 01,2471 16061 TCF DANZIG
045816,002944: 01,2472 16646 TCF GOTO # DO GOTO.
045817,002945: 01,2473 16061 TCF DANZIG
045818,002946:
045819,002947: 01,2474 10020 BPL/BMN CCS CYR
045820,002948: 01,2475 12503 TCF BPL
045821,002949: 01,2476 12000 5B10 DEC 5 B+10 # SHIFTS OP CODE IN SWITCH INSTRUCTION ADR
045822,002950:
045823,002951: 01,2477 06723 TC BRANCH # DO BMN.
045824,002952: 01,2500 16061 TCF DANZIG
045825,002953: 01,2501 16061 TCF DANZIG
045826,002954: 01,2502 16646 TCF GOTO # ONLY IF NNZ.
045827,002955:
045828,002956: 01,2503 06723 BPL TC BRANCH
045829,002957: 01,2504 16646 TCF GOTO # IF POSITIVE OR ZERO.
045830,002958: 01,2505 16646 TCF GOTO
045831,002959: 01,2506 16061 TCF DANZIG
045832,002960:
045833,002961: 01,2507 10020 CALL/ITA CCS CYR
045834,002962: 01,2510 16640 TCF CALL
045835,002963:
045836,002964: 01,2511 05705 TC CCSHOLE
045837,002965: 01,2512 02427 TC 15ADRERS # STORE QPRET. (TAGSUB AFTER 15ADRERS IS
045838,002966: 01,2513 50120 INDEX FIXLOC # SLOW IN THIS CASE, BUT SAVES STORAGE.)
045839,002967: 01,2514 30052 CA QPRET
045840,002968: 01,2515 12367 TCF MSTORE1
045841,002969:
|
|
Page 1092
|
045843,002971: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR ALTERING AND TESTING INTERPRETIVE SWITCHES:
045844,002972:
045845,002973: # 00 BONSET SET A SWITCH AND DO A GOTO IF IT WAS ON.
045846,002974: # 01 SETGO SET A SWITCH AND DO A GOTO.
045847,002975: # 02 BOFSET SET A SWITCH AND DOA GOTO IF IT WAS OFF
045848,002976: # 03 SET SET A SWITCH.
045849,002977:
045850,002978: # 04 BONINV INVERT A SWITCH AND BRANCH IF IT WAS ON.
045851,002979: # 05 INVGO INVERT A SWITCH AND DO A GOTO.
045852,002980: # 06 BOFINV INVERT A SWITCH AND BRANCH IF IT WAS OFF
045853,002981: # 07 INVERT INVERT A SWITCH.
045854,002982:
045855,002983: # 10 BONCLR CLEAR A SWITCH AND BRANCH IF IT WAS ON.
045856,002984: # 11 CLRGO CLEAR A SWITCH AND DO A GOTO.
045857,002985: # 12 BOFCLR CLEAR A SWITCH AND BRANCH IF IT WAS OFF.
045858,002986: # 13 CLEAR CLEAR A SWITCH.
045859,002987:
045860,002988: # 14 BON BRANCH IF A SWITCH WAS ON.
045861,002989: # 16 BOFF BRANCH IF A SWITCH WAS OFF.
045862,002990:
045863,002991: # THE ADDRESS SUPPLIED WITH THE SWITCH INSTRUCTION IS INTERPRETED AS FOLLOWS:
045864,002992:
045865,002993: # BITS 1-4 SWITCH BIT NUMBER (1-15).
045866,002994: # BITS 5-8 SWITCH OPERATION NUMBER.
045867,002995: # BITS 9- SWITCH WORD NUMBER (UP TO 64 SWITCH WORDS).
045868,002996:
045869,002997: # THE ADDRESS ITSELF IS MADE UP BY THE YUL SYSTEM ASSEMBLER. THE BRANCH INSTRUCTIONS REQUIRE TWO
045870,002998: # ADDRESSES, THE SECOND TAKEN AS THE DIRECT (OR INDIRECT IF IN ERASABLE) ADDRESS OF THE BRANCH.
045871,002999:
045872,003000: 01,2516 34762 SWITCHES CAF LOW4 # LEAVE THE SWITCH BIT IN SWBIT.
045873,003001: 01,2517 70117 MASK POLISH
045874,003002: 01,2520 50000 INDEX A
045875,003003: 01,2521 34735 CAF BIT15 # (NUMBER FROM LEFT TO RIGHT.)
045876,003004: 01,2522 54131 TS SWBIT
045877,003005:
045878,003006: 01,2523 34745 CAF BIT7 # LEAVE THE SWITCH NUMBER IN SWWORD.
045879,003007: 01,2524 00006 EXTEND
045880,003008: 01,2525 70117 MP POLISH
045881,003009: 01,2526 54130 TS SWWORD
045882,003010:
045883,003011: 01,2527 00004 INHINT # DURING SWITCH CHANGE SO RUPT CAN USE TOO
045884,003012: 01,2530 50000 INDEX A # LEAVE THE SWITCH WORD ITSELF IN L.
045885,003013: 01,2531 30074 CA STATE
045886,003014: 01,2532 54002 TS Q # Q WILL BE USED AS A CHANNEL.
|
|
Page 1093
|
045888,003016: 01,2533 34741 CAF BIT11
045889,003017: 01,2534 00006 EXTEND # DISPATCH SWITCH BIT OPERATION AS IN BITS
045890,003018: 01,2535 70117 MP POLISH # 7-8 OF POLISH.
045891,003019: 01,2536 72576 MASK B3TOB4 # GETS 4X2-BIT CODE.
045892,003020: 01,2537 50000 INDEX A
045893,003021: 01,2540 12541 TCF +1
045894,003022:
045895,003023: 01,2541 30131 +1 CA SWBIT # 00 - SET SWITCH IN QUESTION.
045896,003024: 01,2542 00006 EXTEND
045897,003025: 01,2543 04002 ROR QCHAN
045898,003026: 01,2544 12553 TCF SWSTORE
045899,003027:
045900,003028: 01,2545 30131 +5 CA SWBIT # 01 - INVERT SWITCH.
045901,003029: 01,2546 00006 EXTEND
045902,003030: 01,2547 06002 RXOR QCHAN
045903,003031: 01,2550 12553 TCF SWSTORE
045904,003032:
045905,003033: 01,2551 40131 +9D CS SWBIT # 10 - CLEAR.
045906,003034: 01,2552 70002 MASK Q
045907,003035: 01,2553 50130 SWSTORE INDEX SWWORD
045908,003036: 01,2554 54074 TS STATE # NEW SWITCH WORD.
045909,003037:
|
|
Page 1094
|
045911,003039: 01,2555 00003 +13D RELINT # 11 - NOOP.
045912,003040: 01,2556 34737 CAF BIT13
045913,003041: 01,2557 00006 EXTEND # DISPATCH SEQUCE CHANGING OR BRANCHING
045914,003042: 01,2560 70117 MP POLISH # CODE.
045915,003043: 01,2561 72576 MASK B3TOB4
045916,003044: 01,2562 50000 INDEX A
045917,003045: 01,2563 12564 TCF +1 # ORIGINALLY STORED IN BITS 5-6.
045918,003046:
045919,003047: 01,2564 40002 +1 CS Q # 00 - BRANCH IF ON.
045920,003048: 01,2565 70131 TEST MASK SWBIT
045921,003049: 01,2566 10000 CCS A
045922,003050: 01,2567 12577 TCF SWSKIP
045923,003051:
045924,003052: 01,2570 16715 +5 TCF SWBRANCH # 01 - GO TO.
045925,003053:
045926,003054: 01,2571 12577 TCF SWSKIP # HERE ONLY ON BIT 15.
045927,003055:
045928,003056: 01,2572 05705 TC CCSHOLE
045929,003057: 01,2573 05705 TC CCSHOLE
045930,003058:
045931,003059: 01,2574 30002 +9D CA Q # 10 - BRANCH IF OFF.
045932,003060: 01,2575 12565 TCF TEST
045933,003061:
045934,003062: 01,2576 00014 B3TOB4 OCT 0014
045935,003063: 01,2577 24164 SWSKIP INCR LOC
045936,003064:
045937,003065: 01,2600 01,2516 SW/ EQUALS SWITCHES
045938,003066:
045939,003067: 01,2600 16061 +13D TCF DANZIG # 11 - NOOP.
045940,003068:
End of include-file INTERPRETER.agc. Parent file is MAIN.agc