Notations on the program listing read, in part:
GAP: ASSEMBLE REVISION 56 OF AGC PROGRAM ZERLINA BY ZOROASTER 9:12 OCT. 21,1970Note that the date is the date of the printout, not the date of the program revision.
Source Code
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|
These source-code files were transcribed from a printout in Don Eyles's personal
collection, scanned by archive.org, and financially sponsored by Linden Sims.
A team of volunteers performed the transcription and proof-reading. The scanned
page images are available at
the Virtual AGC Project website, as well as higher-quality (but much larger)
images at
the Virtual AGC Project's collection in the Internet Archive. Report any problems by creating
"issues" at
the Virtual AGC Project's GitHub Repository. Notations on the program listing read, in part: GAP: ASSEMBLE REVISION 56 OF AGC PROGRAM ZERLINA BY ZOROASTER 9:12 OCT. 21,1970Note that the date is the date of the printout, not the date of the program revision. |
044380,000002: ## Copyright: Public domain.
044381,000003: ## Filename: INTERPRETER.agc
044382,000004: ## Purpose: A log section of Zerlina 56, the final revision of
044383,000005: ## Don Eyles's offline development program for the variable
044384,000006: ## guidance period servicer. It also includes a new P66 with LPD
044385,000007: ## (Landing Point Designator) capability, based on an idea of John
044386,000008: ## Young's. Neither of these advanced features were actually flown,
044387,000009: ## but Zerlina was also the birthplace of other big improvements to
044388,000010: ## Luminary including the terrain model and new (Luminary 1E)
044389,000011: ## analog display programs. Zerlina was branched off of Luminary 145,
044390,000012: ## and revision 56 includes all changes up to and including Luminary
044391,000013: ## 183. It is therefore quite close to the Apollo 14 program,
044392,000014: ## Luminary 178, where not modified with new features.
044393,000015: ## Reference: pp. 993-1085
044394,000016: ## Assembler: yaYUL
044395,000017: ## Contact: Ron Burkey <info@sandroid.org>.
044396,000018: ## Website: www.ibiblio.org/apollo/index.html
044397,000019: ## Mod history: 2017-07-28 MAS Created from Luminary 210.
044398,000020: ## 2017-08-28 RSB Completed transcribing through page 1032. Pages
044399,000021: ## 1033-1085 remain.
044400,000022: ## 2017-08-29 RSB Completed remainder of transcription.
044401,000023: ## 2021-05-30 ABS B5TOBB -> B5TOB8
044402,000024:
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Page 993 |
044404,000026: # SECTION 1 DISPATCHER
044405,000027:
044406,000028: # ENTRY TO THE INTERPRETER. INTPRET SETS LOC TO THE FIRST INSTRUCTION, BANKSET TO THE BBANK OF THE
044407,000029: # OBJECT INTERPRETIVE PROGRAM, AND INTBIT15 TO THE BIT15 CONTENTS OF FBANK. INTERPRETIVE PROGRAMS MAY BE IN
044408,000030: # VIRTUALLY ALL BANKS PRESENT UNDER ANY SUPER-BANK SETTING, WITH THE RESTRICTION THAT PROGRAMS IN HIGH BANKS
044409,000031: # (BIT15 OF FBANK = 1) DO NOT REFER TO LOWBANKS, AND VICE-VERSA. THE INTERPRETER DOES NOT SWITCH SUPERBANKS.
044410,000032: # E-BANK SWITCHING OCCURS WHENEVER GENERAL ERASABLE (100 - 3777) IS ADDRESSED.
044411,000033:
044412,000034: 6051 BLOCK 03
044413,000035:
044414,000036: 6051 COUNT* $$/INTER
044415,000037: 6051 00003 INTPRET RELINT
044416,000038: 6052 00006 EXTEND # SET LOC TO THE WORD FOLLOWING THE TC.
044417,000039: 6053 22164 QXCH LOC
044418,000040:
044419,000041: 6054 30006 +2 CA BBANK # INTERPRETIVE BRANCHES FINISH HERE.
044420,000042: 6055 54165 TS BANKSET
044421,000043: 6056 74735 MASK BIT15 # GET 15TH BIT FOR INDEXABLE ADDRESSES.
044422,000044: 6057 54115 TS INTBIT15
044423,000045:
044424,000046: 6060 54023 TS EDOP # MAKE SURE NO INSTRUCTIONS LEFT OVER
044425,000047:
044426,000048: 6061 16102 TCF NEWOPS # PICK UP OP CODE PAIR AND BEGIN.
044427,000049:
044428,000050:
044429,000051: 6062 22006 INTRSM LXCH BBANK # RESUME SUSPENDED INTERPRETIVE JOB
044430,000052: 6063 16054 TCF INTPRET +3
044431,000053: # DLOAD LOADS MPAC, MPAC +1, LEAVING ZERO IN MPAC +2.
044432,000054:
044433,000055: 6064 00006 DLOAD EXTEND
044434,000056: 6065 50116 INDEX ADDRWD
044435,000057: 6066 30001 DCA 0 # LOAD DP C(C(ADDRWD)) INTO MPAC,MPAX +1
044436,000058: 6067 52155 SLOAD2 DXCH MPAC
044437,000059: 6070 34755 CAF ZERO # ZERO MPAC +2
044438,000060:
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Page 994 |
044440,000062: # AT THE END OF MOST INSTRUCTIONS, CONTROL IS GIVEN TO DANZIG TO DISPATCH THE NEXT OPERATION.
044441,000063:
044442,000064: 6071 54156 TS MPAC +2 # AND DECLARE DP MODE
044443,000065:
044444,000066: 6072 54163 NEWMODE TS MODE # PROLOGUE FOR MODE-CHANGING INSTRUCTIONS.
044445,000067:
044446,000068: 6073 30165 DANZIG CA BANKSET # SET BBANK BEFORE TESTING NEWJOB SO THAT
044447,000069: 6074 54006 TS BBANK # IT MAY BE SAVED DIRECTLY BY CHANJOB.
044448,000070:
044449,000071: 6075 10023 NOIBNKSW CCS EDOP # SEE IF AN ORDER CODE IS LEFT OVER FROM
044450,000072: 6076 16111 TCF OPJUMP # THE LAST PAIR RETRIEVED. IF SO, EXECUTE.
044451,000073: # EDOP IS SET TO ZERO ON ITS RE-EDITING.
044452,000074:
044453,000075: 6077 10067 CCS NEWJOB # SEE IF A JOB OF HIGHER PRIORITY IS
044454,000076: 6100 15126 TCF CHANG2 # PRESENT, AND IF SO, CHANGE JOBS.
044455,000077:
044456,000078: 6101 24164 INCR LOC # ADVANCE THE LOCATION COUNTER.
044457,000079: # ITRACE (1) REFERS TO "NEWOPS".
044458,000080: 6102 50164 NEWOPS INDEX LOC # ENTRY TO BEGIN BY PICKING OP CODE PAIR.
044459,000081: 6103 30000 CA 0 # MAY BE AN OPCODE PAIR OR A STORE CODE.
044460,000082: 6104 10000 CCS A # TEST SIGN AND GET DABS(A).
044461,000083: 6105 16374 TCF DOSTORE # PROCESS STORE CODE.
044462,000084:
044463,000085: 6106 00177 LOW7 OCT 177
044464,000086:
044465,000087: 6107 54023 TS EDOP # OP CODE PAIR. LEAVE THE OTHER IN EDOP
044466,000088: 6110 76106 MASK LOW7 # WHERE CCS EDOP WILL HONOR IT NEXT.
044467,000089:
044468,000090: 6111 54020 OPJUMP TS CYR # LOWWD ENTERS HERE IF A RIGHT-HAND OP
044469,000091: 6112 10020 CCS CYR # CODE IS TO BE PROCESSED. TEST PREFICES.
044470,000092: 6113 16261 TCF OPJUMP2 # TEST SECOND PREFIX BIT.
044471,000093:
044472,000094: 6114 16755 TCF EXIT # +0 OP CODE IS EXIT.
044473,000095:
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Page 995 |
044475,000097: # PROCESS ADDRESSES WHICH MAY BE DIRECT, INDEXED, OR REFERENCE THE PUSHDOWN LIST.
044476,000098:
044477,000099: 6115 74753 ADDRESS MASK BIT1 # SEE IF ADDRESS IS INDEXED. CYR CONTAINED
044478,000100: 6116 10000 CCS A # 400XX, SO BIT 1 IS NOW AS IT WAS IN CYR.
044479,000101: 6117 16160 TCF INDEX # FORM INDEXED ADDRESS.
044480,000102:
044481,000103: 6120 50164 DIRADRES INDEX LOC # LOOK AHEAD TO NEXT WORD TO SEE IF
044482,000104: 6121 40001 OCT40001 CS 1 # ADDRESS IS GIVEN.
044483,000105: 6122 10000 CCS A
044484,000106: 6123 16227 TCF PUSHUP # IF NOT.
044485,000107:
044486,000108: 6124 77773 NEG4 DEC -4 B-14
044487,000109:
044488,000110: 6125 24164 INCR LOC # IF SO, TO SHOW WE PICKED UP A WORD.
044489,000111: 6126 54116 TS ADDRWD
044490,000112:
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Page 996 |
044492,000114: # FINAL DIGESTION OF DIRECT ADDRESSES OF OP CODES WITH 01 PREFIX IS DONE HERE. IN EACH CASE, THE
044493,000115: # REQUIRED 12-BIT SUB-ADDRESS IS LEFT IN ADDRWD, WITH ANY REQUIRED E OR F BANK SWITCHING DONE. ADDRESSES LESS
044494,000116: # 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.
044495,000117:
044496,000118: 6127 66263 AD -ENDVAC # SEE IF ADDRESS RELATIVE TO WORK AREA.
044497,000119: 6130 10000 CCS A
044498,000120: 6131 67755 AD -ENDERAS # IF NOT, SEE IF IN GENERAL ERASABLE.
044499,000121: 6132 16137 TCF IERASTST
044500,000122:
044501,000123: 6133 30120 NETZERO CA FIXLOC # IF SO, LEAVE THE MODIFIED ADDRESS IN
044502,000124: 6134 26116 ADS ADDRWD # ADDRWD AND DISPATCH.
044503,000125: 6135 50020 ITR15 INDEX CYR # THIS INDEX MAKES THE NEXT INSTRUCTION
044504,000126: 6136 76305 7 INDJUMP -1 # TCF INDJUMP + OP, EDITING CYR.
044505,000127:
044506,000128: 6137 00006 IERASTST EXTEND
044507,000129: 6140 66150 BZMF GEADDR # GO PROCESS GENERAL-ERASABLE ADDRESS.
044508,000130:
044509,000131: 6141 75012 MASK LOW10 # FIXED BANK ADDRESS. RESTORE AND ADD B15.
044510,000132: 6142 65012 AD LOW10 # SWITCH BANKS AND LEAVE SUBADDRESS IN
044511,000133: 6143 56116 XCH ADDRWD # ADDRWD FOR OPERAND RETRIEVAL. (THIS
044512,000134: 6144 60115 AD INTBIT15 # METHOD PRECLUDES USE OF THE LAST
044513,000135: 6145 54004 TS FBANK # LOCATION IN EACH FBANK.)
044514,000136: 6146 50020 ITR12 INDEX CYR
044515,000137: 6147 76305 7 INDJUMP -1
044516,000138:
044517,000139: 6150 74357 GEADDR MASK LOW8
044518,000140: 6151 65007 AD OCT1400
044519,000141: 6152 56116 XCH ADDRWD
044520,000142: 6153 54003 TS EBANK
044521,000143: 6154 50020 ITR10 INDEX CYR
044522,000144: 6155 76305 7 INDJUMP -1
044523,000145:
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Page 997 |
044525,000147: # THE FOLLOWING ROUTINE PROCESSES INTERPRETIVE INDEXED ADDRESSES. AN INTERPRETER INDEX REGISTER MAY
044526,000148: # CONTAIN THE ADDRESS OF ANY ERASABLE REGISTER (0-42 BEING RELATIVE TO THE VAC AREA) OR ANY INTERPRETIVE PROGRAM
044527,000149: # BANK, OR ANY INTEGER IN THAT RANGE.
044528,000150:
044529,000151: 6156 37745 DODLOAD* CAF DLOAD* # STODL* COMES HERE TO PROCESS LOAD ADR.
044530,000152: 6157 54020 TS CYR # (STOVL* ENTERS HERE).
044531,000153:
044532,000154: 6160 30120 INDEX CA FIXLOC # SET UP INDEX LOCATION.
044533,000155: 6161 54130 TS INDEXLOC
044534,000156: 6162 24164 INCR LOC # (ADDRESS ALWAYS GIVEN).
044535,000157: 6163 50164 INDEX LOC
044536,000158: 6164 40000 CS 0
044537,000159: 6165 10000 CCS A # INDEX 2 IF ADDRESS STORED COMPLEMENTED.
044538,000160: 6166 24130 INCR INDEXLOC
044539,000161: 6167 16170 NOOP
044540,000162:
044541,000163: 6170 54116 TS ADDRWD # 14 BIT ADDRESS TO ADDRWD.
044542,000164: 6171 77754 MASK HIGH4 # IF ADDRESS GREATER THAN 2K, ADD INTBIT15
044543,000165: 6172 00006 EXTEND
044544,000166: 6173 16176 BZF INDEX2
044545,000167: 6174 30115 CA INTBIT15
044546,000168: 6175 26116 ADS ADDRWD
044547,000169:
044548,000170: 6176 50130 INDEX2 INDEX INDEXLOC
044549,000171: 6177 40046 CS X1
044550,000172: 6200 26116 ADS ADDRWD # DO AUGMENT, IGNORING AND CORRECTING OVF.
044551,000173:
044552,000174: 6201 77756 MASK HIGH9 # SEE IF ADDRESS IS IN WORK AREA.
044553,000175: 6202 00006 EXTEND
044554,000176: 6203 16216 BZF INDWORK
044555,000177: 6204 77754 MASK HIGH4 # SEE IF IN FIXED BANK.
044556,000178: 6205 00006 EXTEND
044557,000179: 6206 16220 BZF INDERASE
044558,000180:
044559,000181: 6207 30116 CA ADDRWD # IN FIXED - SWITCH BANKS AND CREATE
044560,000182: 6210 54004 TS FBANK # SUB-ADDRESS.
044561,000183: 6211 75012 MASK LOW10
044562,000184: 6212 64741 AD 2K
044563,000185: 6213 54116 TS ADDRWD
044564,000186: 6214 50020 ITR11 INDEX CYR
044565,000187: 6215 36305 3 INDJUMP -1
044566,000188:
044567,000189: 6216 30120 INDWORK CA FIXLOC # MAKE ADDRWD RELATIVE TO WORK AREA.
044568,000190: 6217 16224 TCF ITR13 -1
044569,000191:
044570,000192: 6220 35007 INDERASE CA OCT1400
044571,000193: 6221 56116 XCH ADDRWD
044572,000194: 6222 54003 TS EBANK
044573,000195: 6223 74357 MASK LOW8
044574,000196: 6224 26116 -1 ADS ADDRWD
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Page 998 |
044576,000198: 6225 50020 ITR13 INDEX CYR
044577,000199: 6226 36305 3 INDJUMP -1
044578,000200:
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Page 999 |
044580,000202: # PUSH-UP ROUTINES. WHEN NO OPERAND ADDRESS IS GIVEN, THE APPROPRIATE OPERAND IS TAKEN FROM THE PUSH-DOWN
044581,000203: # LIST. IN MOST CASES THE MODE OF THE RESULT (VECTOR OR SCALAR) OF THE LAST ARITHMETIC OPERATION PERFORMED
044582,000204: # IS THE SAME AS THE TYPE OF OPERAND DESIRED (ALL ADD/SUBTRACT ETC.). EXCEPTIONS TO THIS GENERAL RULE ARE LISTED
044583,000205: # BELOW (NOTE THAT IN EVERY CASE THE MODE REGISTER IS LEFT INTACT):
044584,000206:
044585,000207: # 1. VXSC AND V/SC WANT THE OPPOSITE TYPE OF OPERAND, E.G., IF THE LAST OPERATION YIELDED A VECTOR
044586,000208: # RESULT, VXSC WANTS A SCALAR.
044587,000209:
044588,000210: # 2. THE LOAD CODES SHOULD LOAD THE ACCUMULATOR INDEPENDENT OF THE RESULT OF THE LAST OPERATION. THIS
044589,000211: # INCLUDES VLOAD, DLOAD, TLOAD, PDDL, AND PDVL (NO PUSHUP WITH SLOAD).
044590,000212:
044591,000213: # 3. SOME ARITHMETIC OPERATIONS REQUIRE A STANDARD TYPE OF OPERAND REGARDLESS OF THE PREVIOUS OPERATION.
044592,000214: # THIS INCLUDES SIGN WANTING DP AND TAD REQUIRING TP.
044593,000215:
044594,000216: 6227 34360 PUSHUP CAF OCT23 # IF THE LOW 5 BITS OF CYR ARE LESS THAN
044595,000217: 6230 70020 MASK CYR # 20, THIS OP REQUIRES SPECIAL ATTENTION.
044596,000218: 6231 66234 AD -OCT10 # (NO -0).
044597,000219: 6232 10000 CCS A
044598,000220: 6233 16245 TCF REGUP # FOR ALL CODES GREATER THAN OCT 7.
044599,000221:
044600,000222: 6234 77767 -OCT10 OCT -10
044601,000223:
044602,000224: 6235 66124 AD NEG4 # WE NOW HAVE 7 - OP CODE(MOD4). SEE IF
044603,000225: 6236 10000 CCS A # THE OP CODE (MOD4) IS THREE (REVERSE).
044604,000226: 6237 50000 INDEX A # NO - THE MODE IS DEFINITE. PICK UP THE
044605,000227: 6240 46256 CS NO.WDS
044606,000228: 6241 16247 TCF REGUP +2
044607,000229:
044608,000230: 6242 50163 INDEX MODE # FOR VXSC AND V/SC WE WANT THE REQUIRED
044609,000231: 6243 46254 CS REVCNT # PUSHLOC DECREMENT WITHOUT CHANGING THE
044610,000232: 6244 16247 TCF REGUP +2 # MODE AT THIS TIME.
044611,000233:
044612,000234: 6245 50163 REGUP INDEX MODE # MOST ALL OP CODES PUSHUP HERE.
044613,000235: 6246 46256 CS NO.WDS
044614,000236: 6247 26166 +2 ADS PUSHLOC
044615,000237: 6250 54116 TS ADDRWD
044616,000238: 6251 50020 ITR14 INDEX CYR
044617,000239: 6252 76305 7 INDJUMP -1 # (THE INDEX MAKES THIS A TCF.)
044618,000240:
044619,000241: 6253 00002 OCT 2 # REVERSE PUSHUP DECREMENT. VECTOR TAKES 2
044620,000242: 6254 00006 REVCNT OCT 6 # WORDS, SCALAR TAKES 6.
044621,000243: 6255 00006 OCT 6
044622,000244: 6256 00002 NO.WDS OCT 2 # CONVENTIONAL DECREMENT IS 6 WORDS VECTOR
044623,000245: 6257 00003 OCTAL3 OCT 3 # 2 IN DP, AND 3 IN TP.
044624,000246: 6260 00006 OCT 6
044625,000247:
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Page 1000 |
044627,000249: # TEST THE SECOND PREFIX BIT TO SEE IF THIS IS A MISCELLANEOUS OR A UNARY/SHORT SHIFT OPERATION.
044628,000250:
044629,000251: 6261 10020 OPJUMP2 CCS CYR # TEST SECOND PREFIX BIT.
044630,000252: 6262 16275 TCF OPJUMP3 # TEST THIRD BIT TO SEE IF UNARY OR SHIFT.
044631,000253:
044632,000254: 6263 77722 -ENDVAC DEC -45 B-14
044633,000255:
044634,000256: # THE FOLLOWING ROUTINE PROCESSES ADDRESSES OF SUFFIX CLASS 10. THEY ARE BASICALLY WORK AREA ADDRESSES
044635,000257: # IN THE RANGE 0 - 52, ERASABLE ECADR CONSTANTS FROM 100 - 3777, AND FCADRS ABOVE THAT. ALL 15 BITS ARE AVAILABLE
044636,000258: # IN CONTRAST TO SUFFIX 1, IN WHICH ONLY THE LOW ORDER 14 ARE AVAILABLE.
044637,000259:
044638,000260: 6264 24164 15BITADR INCR LOC # (ENTRY HERE FROM STCALL).
044639,000261: 6265 50164 INDEX LOC # PICK UP ADDRESS WORD.
044640,000262: 6266 30000 CA 0
044641,000263: 6267 54117 TS POLISH # WE MAY NEED A SUBADDRESS LATER.
044642,000264:
044643,000265: 6270 35013 CAF LOW7+2K # THESE INSTRUCTIONS ARE IN BANK 1.
044644,000266: 6271 54004 TS FBANK
044645,000267: 6272 70020 MASK CYR
044646,000268: 6273 50000 ITR7 INDEX A
044647,000269: 6274 16346 TCF MISCJUMP
044648,000270:
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Page 1001 |
044650,000272: # COMPLETE THE DISPATCHING OF UNARY AND SHORT SHIFT OPERATIONS.
044651,000273:
044652,000274: 6275 54004 OPJUMP3 TS FBANK # CALL IN BANK 0 (BITS 11-15 OF A ARE 0.)
044653,000275: # ITRACE (6) REFERS TO "OPJUMP3".
044654,000276: 6276 10020 CCS CYR # TEST THIRD PREFIX BIT.
044655,000277: 6277 50000 INDEX A # THE DECREMENTED UNARY CODE IS IN BITS
044656,000278: 6300 12000 TCF UNAJUMP # 1-4 OF A (ZERO, EXIT, HAS BEEN DETECTED)
044657,000279:
044658,000280: 6301 10163 CCS MODE # ITS A SHORT SHIFT CODE. SEE IF PRESENT
044659,000281: 6302 12017 TCF SHORTT # SCALAR OR VECTOR.
044660,000282: 6303 12017 TCF SHORTT
044661,000283: 6304 12121 TCF SHORTV # CALLS THE APPROPRIATE ROUTINE.
044662,000284:
044663,000285: 6305 4350 FBANKMSK EQUALS BANKMASK
044664,000286: 6305 00122 LVBUF ADRES VBUF
044665,000287:
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Page 1002 |
044667,000289: # THE FOLLOWING IS THE JUMP TABLE FOR OP CODES WHICH MAY HAVE INDEXABLE ADDRESSES OR MAY PUSH UP.
044668,000290:
044669,000291: 6306 16517 INDJUMP TCF VLOAD # 00 - LOAD MPAC WITH A VECTOR.
044670,000292: 6307 17103 TCF TAD # 01 - TRIPLE PRECISION ADD TO MPAC.
044671,000293: 6310 17667 TCF SIGN # 02 - COMPLEMENT MPAC (V OR SC) IF X NEG.
044672,000294: 6311 17413 TCF VXSC # 03 - VECTOR TIMES SCALAR.
044673,000295: 6312 16715 TCF CGOTO # 04 - COMPUTED GO TO.
044674,000296: 6313 16502 TCF TLOAD # 05 - LOAD MPAC WITH TRIPLE PRECISION.
044675,000297: 6314 16064 TCF DLOAD # 06 - LOAD MPAC WITH A DP SCALAR.
044676,000298: 6315 17636 TCF V/SC # 07 - VECTOR DIVIDED BY SCALAR.
044677,000299:
044678,000300: 6316 16513 TCF SLOAD # 10 - LOAD MPAC IN SINGLE PRECISION.
044679,000301: 6317 16632 TCF SSP # 11 - SET SINGLE PRECISION INTO X.
044680,000302: 6320 16535 TCF PDDL # 12 - PUSH DOWN MPAC AND RE-LOAD IN DP.
044681,000303: 6321 17346 TCF MXV # 13 - MATRIX POST-MULTIPLIED BY VECTOR.
044682,000304: 6322 16571 TCF PDVL # 14 - PUSH DOWN AND VECTOR LOAD.
044683,000305: 6323 16640 TCF CCALL # 15 - COMPUTED CALL.
044684,000306: 6324 17351 TCF VXM # 16 - MATRIX PRE-MULTIPLIED BY VECTOR.
044685,000307: 6325 17630 TCF TSLC # 17 - NORMALIZE MPAC (SCALAR ONLY).
044686,000308:
044687,000309: 6326 17606 TCF DMPR # 20 - DP MULTIPLY AND ROUND.
044688,000310: 6327 17611 TCF DDV # 21 - DP DIVIDE BY.
044689,000311: 6330 17615 TCF BDDV # 22 - DP DIVIDE INTO.
044690,000312: 6331 17633 TCF GSHIFT # 23 - GENERAL SHIFT INSTRUCTION.
044691,000313: 6332 16763 TCF VAD # 24 - VECTOR ADD.
044692,000314: 6333 16761 TCF VSU # 25 - VECTOR SUBTRACT.
044693,000315: 6334 17050 TCF BVSU # 26 - VECTOR SUBTRACT FROM.
044694,000316: 6335 17343 TCF DOT # 27 - VECTOR DOT PRODUCT.
044695,000317:
044696,000318: 6336 17472 TCF VXV # 30 - VECTOR CROSS PRODUCT.
044697,000319: 6337 17437 TCF VPROJ # 31 - VECTOR PROJECTION.
044698,000320: 6340 17017 TCF DSU # 32 - DP SUBTRACT.
044699,000321: 6341 17074 TCF BDSU # 33 - DP SUBTRACT FROM.
044700,000322: 6342 17007 TCF DAD # 34 - DP ADD.
044701,000323: 6343 16343 TCF +0 # 35 - AVAILABLE
044702,000324: 6344 17604 TCF DMP1 # 36 - DP MULTIPLY.
044703,000325: 6345 17625 TCF SETPD # 37 - SET PUSH DOWN POINTER (DIRECT ONLY)
044704,000326:
044705,000327: # CODES 10 AND 14 MUST NOT PUSH UP. CODE 04 MAY BE USED FOR VECTOR DECLARE BEFORE PUSHUP IF DESIRED.
044706,000328:
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Page 1003 |
044708,000330: # THE FOLLOWING JUMP TABLE APPLIES TO INDEX, BRANCH, AND MISCELLANEOUS INSTRUCTIONS.
044709,000331:
044710,000332: 6346 12350 MISCJUMP TCF AXT # 00 - ADDRESS TO INDEX TRUE.
044711,000333: 6347 12355 TCF AXC # 01 - ADDRESS TO INDEX COMPLEMENTED.
044712,000334: 6350 12360 TCF LXA # 02 - LOAD INDEX FROM ERASABLE.
044713,000335: 6351 12364 TCF LXC # 03 - LOAD INDEX FROM COMPLEMENT OF ERAS.
044714,000336: 6352 12370 TCF SXA # 04 - STORE INDEX IN ERASABLE.
044715,000337: 6353 12376 TCF XCHX # 05 - EXCHANGE INDEX WITH ERASABLE.
044716,000338: 6354 12412 TCF INCR # 06 - INCREMENT INDEX REGISTER.
044717,000339: 6355 12421 TCF TIX # 07 - TRANSFER ON INDEX.
044718,000340:
044719,000341: 6356 12404 TCF XAD # 10 - INDEX REGISTER ADD FROM ERASABLE.
044720,000342: 6357 12415 TCF XSU # 11 - INDEX SUBTRACT FROM ERASABLE.
044721,000343: 6360 12473 TCF BZE/GOTO # 12 - BRANCH ZERO AND GOTO.
044722,000344: 6361 12500 TCF BPL/BMN # 13 - BRANCH PLUS AND BRANCH MINUS.
044723,000345: 6362 12453 TCF RTB/BHIZ # 14 - RETURN TO BASIC AND BRANCH HI ZERO.
044724,000346: 6363 12513 TCF CALL/ITA # 15 - CALL AND STORE QPRET.
044725,000347: 6364 12522 TCF SW/ # 16 - SWITCH INSTRUCTIONS AND AVAILABLE.
044726,000348: 6365 12463 TCF BOV(B) # 17 - BRANCH ON OVERFLOW TO BASIC OR INT.
044727,000349:
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Page 1004 |
044729,000351: # THE FOLLOWING JUMP TABLE APPIES TO UNARY INSTRUCTIONS.
044730,000352:
044731,000353: 6366 COUNT* $$/INTER
044732,000354: 00,2000 BANK 0 # 00 - EXIT - DETECTED EARLIER.
044733,000355: 00,2000 13207 UNAJUMP TCF SQRT # 01 - SQUARE ROOT.
044734,000356: 00,2001 13530 TCF SINE # 02 - SIN.
044735,000357: 00,2002 13517 TCF COSINE # 03 - COS.
044736,000358: 00,2003 13610 TCF ARCSIN # 04 - ARC SIN.
044737,000359: 00,2004 13612 TCF ARCCOS # 05 - ARC COS.
044738,000360: 00,2005 13174 TCF DSQ # 06 - DP SQUARE.
044739,000361: 00,2006 12116 TCF ROUND # 07 - ROUND TO DP.
044740,000362:
044741,000363: 00,2007 17702 TCF COMP # 10 - COMPLEMENT VECTOR OR SCALAR.
044742,000364: 00,2010 13232 TCF VDEF # 11 - VECTOR DEFINE.
044743,000365: 00,2011 13023 TCF UNIT # 12 - UNIT VECTOR.
044744,000366: 00,2012 13176 TCF ABVALABS # 13 - LENGTH OF VECTOR OR MAG OF SCALAR.
044745,000367: 00,2013 13245 TCF VSQ # 14 - SQUARE OF LENGTH OF VECTOR.
044746,000368: 00,2014 16366 TCF STADR # 15 - PUSH UP ON STORE CODE.
044747,000369: 00,2015 13274 TCF RVQ # 16 - RETURN VIA QPRET.
044748,000370: 00,2016 13247 TCF PUSH # 17 - PUSH MPAC DOWN.
044749,000371:
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|
Page 1005 |
044751,000373: # SECTION 2 LOAD AND STORE PACKAGE.
044752,000374:
044753,000375: # A SET OF EIGHT STORE CODES IS PROVIDED AS THE PRIMARY METHOD OF STORING THE MULTI-PURPOSE
044754,000376: # ACCUMULATOR (MPAC). IF IN THE DANZIG SECTION LOC REFERS TO AN ALGEBRAICALLY POSITIVE WORD, IT IS TAKEN AS A
044755,000377: # STORE CODE WITH A CORRESPONDING ERASABLE ADDRESS. MOST OF THESE CODES ARE TWO ADDRESS, SPECIFYING THAT THE WORD
044756,000378: # FOLLOWING THE STORE CODE IS TO BE USED AS AN ADDRESS FROM WHICH TO RE-LOAD MPAC. FOUR OPTIONS ARE AVAILABLE:
044757,000379:
044758,000380: # 1. STORE STORE MPAC. THE E ADDRESS MAY BE INDEXED.
044759,000381: # 2. STODL STORE MPAC AND RE-LOAD IT IN DP WITH THE NEXT ADDRESS (THE LOAD MAY BE INDEXED).
044760,000382: # 3. STOVL STORE MPAC AND RE-LOAD A VECTOR (AS ABOVE).
044761,000383: # 4. STCALL STORE AND DO A CALL (BOTH ADDRESSES MUST BE DIRECT HERE).
044762,000384:
044763,000385: # STODL AND STOVL WILL TAKE FROM THE PUSH-DOWN LIST IF NO LOAD ADDRESS IS GIVEN.
044764,000386:
044765,000387: 6366 BLOCK 3
044766,000388:
044767,000389: 6366 COUNT* $$/INTER
044768,000390: 6366 30165 STADR CA BANKSET # THE STADR CODE (PUSHUP UP ON STORE
044769,000391: 6367 54004 TS FBANK # ADDRESS) ENTERS HERE.
044770,000392: 6370 24164 INCR LOC
044771,000393: 6371 50164 ITR1 INDEX LOC # THE STORECODE WAS STORED COMPLEMENTED TO
044772,000394: 6372 40000 CS 0 # MAKE IT LOOK LIKE AN OPCODE PAIR.
044773,000395: 6373 67761 AD NEGONE # (YUL CANT REMOVE 1 BECAUSE OF EARLY CCS)
044774,000396:
044775,000397: 6374 54116 DOSTORE TS ADDRWD
044776,000398: 6375 74356 MASK LOW11 # ENTRY FROM DISPATCHER. SAVE THE ERASABLE
044777,000399: 6376 56116 XCH ADDRWD # ADDRESS AND JUMP ON THE STORE CODE NO.
044778,000400: 6377 77734 MASK B12T14
044779,000401: 6400 00006 EXTEND
044780,000402: 6401 74747 MP BIT5 # EACH TRANSFER VECTOR ENTRY IS TWO WORDS.
044781,000403: 6402 50000 ITR0 INDEX A
044782,000404: 6403 16404 TCF STORJUMP
044783,000405:
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Page 1006 |
044785,000407: # STORE CODE JUMP TABLE. CALLS THE APPROPRIATE STORING ROUTINE AND EXITS TO DANZIG OR TO ADDRESS WITH
044786,000408: # A SUPPLIED OPERATION CODE.
044787,000409:
044788,000410: # STORE STORE,1 AND STORE,2 RETURN TO DANZIG, THUS RESETTING THE EBANK TO ITS STATE AT INTPRET.
044789,000411:
044790,000412: 6404 06434 STORJUMP TC STORE # STORE.
044791,000413: 6405 16073 TCF DANZIG # PICK UP NEW OP CODE(S).
044792,000414: 6406 06426 TC STORE,1
044793,000415: 6407 16073 TCF DANZIG
044794,000416: 6410 06431 TC STORE,2
044795,000417: 6411 16073 TCF DANZIG
044796,000418:
044797,000419: 6412 06434 TC STORE # STODL.
044798,000420: 6413 16472 TCF DODLOAD
044799,000421:
044800,000422: 6414 06434 TC STORE # STODL WITH INDEXED LOAD ADDRESS.
044801,000423: 6415 16156 TCF DODLOAD*
044802,000424:
044803,000425: 6416 06434 TC STORE # STOVL.
044804,000426: 6417 16475 TCF DOVLOAD
044805,000427:
044806,000428: 6420 06434 TC STORE # STOVL WITH INDEXED LOAD ADDRESS.
044807,000429: 6421 16500 TCF DOVLOAD*
044808,000430: 6422 06434 TC STORE # STOTC.
044809,000431: 6423 34766 CAF CALLCODE
044810,000432: 6424 54020 TS CYR
044811,000433: 6425 16264 TCF 15BITADR # GET A 15 BIT ADDRESS.
044812,000434:
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|
Page 1007 |
044814,000436: # STORE CODE ADDRESS PROCESSOR.
044815,000437:
044816,000438: 6426 50120 STORE,1 INDEX FIXLOC
044817,000439: 6427 40046 CS X1
044818,000440: 6430 16433 TCF PRESTORE
044819,000441:
044820,000442: 6431 50120 STORE,2 INDEX FIXLOC
044821,000443: 6432 40047 CS X2
044822,000444: 6433 26116 PRESTORE ADS ADDRWD # RESULTANT ADDRESS IS IN ERASABLE.
044823,000445:
044824,000446: 6434 40116 STORE CS ADDRWD
044825,000447: 6435 64772 AD DEC45
044826,000448: 6436 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA?
044827,000449: 6437 30120 CA FIXLOC # YES.
044828,000450: 6440 16445 TCF AHEAD5
044829,000451: 6441 35007 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS.
044830,000452: 6442 56116 XCH ADDRWD
044831,000453: 6443 54003 TS EBANK
044832,000454: 6444 74357 MASK LOW8
044833,000455: 6445 26116 AHEAD5 ADS ADDRWD
044834,000456:
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|
Page 1008 |
044836,000458: # STORING ROUTINES. STORE DP, TP, OR VECTOR AS INDICATED BY MODE.
044837,000459:
044838,000460: 6446 00006 STARTSTO EXTEND # MPAC,+1 MUST BE STORED IN ANY EVENT.
044839,000461: # ITRACE (5) REFERS TO "STARTSTO".
044840,000462: 6447 30155 DCA MPAC
044841,000463: 6450 50116 INDEX ADDRWD
044842,000464: 6451 52001 DXCH 0
044843,000465:
044844,000466: 6452 10163 CCS MODE
044845,000467: 6453 16466 TCF TSTORE
044846,000468: 6454 00002 TC Q
044847,000469:
044848,000470: 6455 00006 VSTORE EXTEND
044849,000471: 6456 30160 DCA MPAC +3
044850,000472: 6457 50116 INDEX ADDRWD
044851,000473: 6460 52003 DXCH 2
044852,000474:
044853,000475: 6461 00006 EXTEND
044854,000476: 6462 30162 DCA MPAC +5
044855,000477: 6463 50116 INDEX ADDRWD
044856,000478: 6464 52005 DXCH 4
044857,000479: 6465 00002 TC Q
044858,000480:
044859,000481: 6466 30156 TSTORE CA MPAC +2
044860,000482: 6467 50116 INDEX ADDRWD
044861,000483: 6470 54002 TS 2
044862,000484: 6471 00002 TC Q
044863,000485:
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|
Page 1009 |
044865,000487: # ROUTINES TO BEGIN PROCESSING OF THE SECOND ADDRESS ASSOCIATED WITH ALL STORE-TYPE CODES EXCEPT STORE
044866,000488: # ITSELF.
044867,000489:
044868,000490: 6472 37744 DODLOAD CAF DLOADCOD
044869,000491: 6473 54020 TS CYR
044870,000492: 6474 16120 TCF DIRADRES # GO GET A DIRECT ADDRESS.
044871,000493:
044872,000494: 6475 34735 DOVLOAD CAF VLOADCOD
044873,000495: 6476 54020 TS CYR
044874,000496: 6477 16120 TCF DIRADRES
044875,000497:
044876,000498: 6500 36121 DOVLOAD* CAF VLOAD*
044877,000499: 6501 16157 TCF DODLOAD* +1 # PROLOGUE TO INDEX ROUTINE.
044878,000500:
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|
Page 1010 |
044880,000502: # THE FOLLOWING LOAD INSTRUCTIONS ARE PROVIDED FOR LOADING THE MULTI-PURPOSE ACCUMULATOR MPAC.
044881,000503:
044882,000504: 6502 50116 TLOAD INDEX ADDRWD
044883,000505: 6503 30002 CA 2 # LOAD A TRIPLE PRECISION ARGUMENT INTO
044884,000506: 6504 54156 TS MPAC +2 # THE FIRST THREE MPAC REGISTERS, WITH THE
044885,000507: 6505 00006 EXTEND # CONTENTS OF THE OTHER FOUR IRRELEVANT.
044886,000508: 6506 50116 INDEX ADDRWD
044887,000509: 6507 30001 DCA 0
044888,000510: 6510 52155 DXCH MPAC
044889,000511: 6511 34753 TMODE CAF ONE
044890,000512: 6512 16072 TCF NEWMODE # DECLARE TRIPLE PRECISION MODE.
044891,000513:
044892,000514: 6513 22007 SLOAD ZL # LOAD A SINGLE PRECISION NUMBER INTO
044893,000515: 6514 50116 INDEX ADDRWD # MPAC, SETTING MPAC+1,2 TO ZERO. THE
044894,000516: 6515 30000 CA 0 # CONTENTS OF THE REMAINING MPAC REGISTERS
044895,000517: 6516 16067 TCF SLOAD2 # ARE IRRELEVANT.
044896,000518:
044897,000519: 6517 00006 VLOAD EXTEND # LOAD A DOUBLE PRECISION VECTOR INTO
044898,000520: 6520 50116 INDEX ADDRWD # MPAC,+1, MPAC+3,4, AND MPAC+5,6. THE
044899,000521: 6521 30001 DCA 0 # CONTENTS OF MPAC +2 ARE IRRELEVANT.
044900,000522: 6522 52155 DXCH MPAC
044901,000523:
044902,000524: 6523 00006 ENDVLOAD EXTEND # PDVL COMES HERE TO FINISH UP FOR DP, TP.
044903,000525: 6524 50116 INDEX ADDRWD
044904,000526: 6525 30003 DCA 2
044905,000527: 6526 52160 DXCH MPAC +3
044906,000528:
044907,000529: 6527 00006 +4 EXTEND # TPDVL FINISHES HERE.
044908,000530: 6530 50116 INDEX ADDRWD
044909,000531: 6531 30005 DCA 4
044910,000532: 6532 52162 DXCH MPAC +5
044911,000533:
044912,000534: 6533 44753 VMODE CS ONE # DECLARE VECTOR MODE.
044913,000535: 6534 16072 TCF NEWMODE
044914,000536:
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|
Page 1011 |
044916,000538: # THE FOLLOWING INSTRUCTIONS ARE PROVIDED FOR STORING OPERANDS IN THE PUSHDOWN LIST:
044917,000539:
044918,000540: # 1. PUSH PUSHDOWN AND NO LOAD.
044919,000541: # 2. PDDL PUSHDOWN AND DOUBLE PRECISION LOAD.
044920,000542: # 3. PDVL PUSHDOWN AND VECTOR LOAD.
044921,000543:
044922,000544: 6535 00006 PDDL EXTEND
044923,000545: 6536 50116 INDEX ADDRWD # LOAD MPAC,+1, PUSHING THE FORMER
044924,000546: 6537 30001 DCA 0 # CONTENTS DOWN.
044925,000547: 6540 52155 DXCH MPAC
044926,000548: 6541 50166 INDEX PUSHLOC
044927,000549: 6542 52001 DXCH 0
044928,000550:
044929,000551: 6543 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER APPRO-
044930,000552: 6544 36256 CAF NO.WDS # PRIATELY.
044931,000553: 6545 26166 ADS PUSHLOC
044932,000554:
044933,000555: 6546 10163 CCS MODE
044934,000556: 6547 16564 TCF ENDTPUSH
044935,000557: 6550 16562 TCF ENDDPUSH
044936,000558:
044937,000559: 6551 54163 TS MODE # NOW DP.
044938,000560: 6552 54156 ENDVPUSH TS MPAC +2
044939,000561: 6553 52160 DXCH MPAC +3 # PUSH DOWN THE REST OF THE VECTOR HERE.
044940,000562: 6554 50166 INDEX PUSHLOC
044941,000563: 6555 51775 DXCH 0 -4
044942,000564:
044943,000565: 6556 52162 DXCH MPAC +5
044944,000566: 6557 50166 INDEX PUSHLOC
044945,000567: 6560 51777 DXCH 0 -2
044946,000568:
044947,000569: 6561 16073 TCF DANZIG
044948,000570:
044949,000571: 6562 54156 ENDDPUSH TS MPAC +2 # SET MPAC +2 TO ZERO AND EXIT ON DP.
044950,000572: 6563 16073 TCF DANZIG
044951,000573:
044952,000574: 6564 54163 ENDTPUSH TS MODE
044953,000575: 6565 56156 XCH MPAC +2 # ON TRIPLE, SET MPAC +2 TO ZERO, PUSHING
044954,000576: 6566 50166 +2 INDEX PUSHLOC # DOWN THE OLD CONTENTS
044955,000577: 6567 53777 TS 0 -1
044956,000578: 6570 16073 TCF DANZIG
044957,000579:
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|
Page 1012 |
044959,000581: # PDVL - PUSHDOWN AND VECTOR LOAD.
044960,000582:
044961,000583: 6571 00006 PDVL EXTEND # RELOAD MPAC AND PUSH DOWN ITS CONTENTS.
044962,000584: 6572 50116 INDEX ADDRWD
044963,000585: 6573 30001 DCA 0
044964,000586: 6574 52155 DXCH MPAC
044965,000587: 6575 50166 INDEX PUSHLOC
044966,000588: 6576 52001 DXCH 0
044967,000589:
044968,000590: 6577 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER.
044969,000591: 6600 36256 CAF NO.WDS
044970,000592: 6601 26166 ADS PUSHLOC
044971,000593:
044972,000594: 6602 10163 CCS MODE # TEST PAST MODE.
044973,000595: 6603 16622 TCF TPDVL
044974,000596: 6604 16523 TCF ENDVLOAD # JUST LOAD LAST FOUR REGISTERS ON DP.
044975,000597:
044976,000598: 6605 00006 VPDVL EXTEND # PUSHDOWN AND RE-LOAD LAST TWO COMPONENTS
044977,000599: 6606 50116 INDEX ADDRWD
044978,000600: 6607 30003 DCA 2
044979,000601: 6610 52160 DXCH MPAC +3
044980,000602: 6611 50166 INDEX PUSHLOC
044981,000603: 6612 51775 DXCH 0 -4
044982,000604:
044983,000605: 6613 00006 EXTEND
044984,000606: 6614 50116 INDEX ADDRWD
044985,000607: 6615 30005 DCA 4
044986,000608: 6616 52162 DXCH MPAC +5
044987,000609: 6617 50166 INDEX PUSHLOC
044988,000610: 6620 51777 DXCH 0 -2
044989,000611:
044990,000612: 6621 16073 TCF DANZIG
044991,000613:
044992,000614: 6622 00006 TPDVL EXTEND # ON TP, WE MUST LOAD THE Y COMPONENT
044993,000615: 6623 50116 INDEX ADDRWD # BEFORE STORING MPAC +2 INCASE THIS IS A
044994,000616: 6624 30003 DCA 2 # PUSHUP.
044995,000617: 6625 52160 DXCH MPAC +3
044996,000618:
044997,000619: 6626 30156 CA MPAC +2
044998,000620: 6627 50166 INDEX PUSHLOC # IN DP.
044999,000621: 6630 53777 TS 0 -1
045000,000622: 6631 16527 TCF ENDVLOAD +4
045001,000623:
045002,000624: # SSP (STORE SINGLE PRECISION) IS EXECUTED HERE.
045003,000625:
045004,000626: 6632 24164 SSP INCR LOC # PICK UP THE WORD FOLLOWING THE GIVEN
045005,000627: 6633 50164 INDEX LOC # ADDRESS AND STORE IT AT X.
045006,000628: 6634 30000 CA 0
045007,000629: 6635 50116 STORE1 INDEX ADDRWD # SOME INDEX AND MISCELLANEOUS OPS END
045008,000630: 6636 54000 TS 0 # HERE.
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|
Page 1013 |
045010,000632: 6637 16073 TCF DANZIG
045011,000633:
|
|
Page 1014 |
045013,000635: # SEQUENCE CHANGING AND SUBROUTINE CALLING OPTIONS.
045014,000636:
045015,000637: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR SEQUENCING CHANGING, BRANCHING, AND CALLING SUBROUTINES:
045016,000638:
045017,000639: # 1. GOTO GO TO.
045018,000640: # 2. CALL CALL SUBROUTINE SETTING QPRET.
045019,000641: # 3. CGOTO COMPUTED GO TO.
045020,000642: # 4. CCALL COMPUTED CALL.
045021,000643: # 7. BPL BRANCH IF MPAC POSITIVE OR ZERO.
045022,000644: # 8. BZE BRANCH IF MPAC ZERO.
045023,000645: # 9. BMN BRANCH IF MPAC NEGATIVE NON-ZERO.
045024,000646:
045025,000647: 6640 24164 CCALL INCR LOC # MAINTAIN LOC FOR QPRET COMPUTATION.
045026,000648: 6641 50164 INDEX LOC
045027,000649: 6642 30000 CAF 0 # GET BASE ADDRESS OF CADR LIST.
045028,000650: 6643 50116 INDEX ADDRWD
045029,000651: 6644 60000 AD 0 # ADD INCREMENT.
045030,000652: 6645 54004 TS FBANK # SELECT DESIRED CADR.
045031,000653: 6646 75012 MASK LOW10
045032,000654: 6647 50000 INDEX A
045033,000655: 6650 32000 CAF 10000
045034,000656: 6651 54117 TS POLISH
045035,000657:
045036,000658: 6652 30165 CALL CA BANKSET # FOR ANY OF THE CALL OPTIONS, MAKE UP THE
045037,000659: 6653 74350 MASK BANKMASK # ADDRESS OF THE NEXT OP-CODE PAIR/STORE
045038,000660: 6654 64350 AD BANKMASK # CODE AND LEAVE IT IN QPRET. NOTE THAT
045039,000661: 6655 60164 AD LOC # BANKMASK = -(2000 - 1).
045040,000662: 6656 50120 INDEX FIXLOC
045041,000663: 6657 54052 TS QPRET
045042,000664:
045043,000665: 6660 30117 GOTO CA POLISH # BASIC BRANCHING SEQUENCE.
045044,000666: 6661 77754 +1 MASK HIGH4
045045,000667: 6662 00006 EXTEND
045046,000668: 6663 16674 BZF GOTOERS # SEE IF ADDRESS POINTS TO FIXED OR ERAS.
045047,000669: 6664 30165 +4 CA BANKSET # SET EBANK PART OF BBANK. NEXT, SET UP
045048,000670: 6665 54006 TS BBANK # FBANK. THE COMBINATION IS PICKED UP &
045049,000671: 6666 30117 CA POLISH # PUT INTO BANKSET AT INTPRET +2.
045050,000672: 6667 54004 TS FBANK
045051,000673: 6670 75012 MASK LOW10
045052,000674: 6671 64741 AD 2K
045053,000675: 6672 54164 TS LOC
045054,000676: 6673 16054 TCF INTPRET +3
045055,000677:
045056,000678: 6674 E3,1400 EBANK= 1400 # SO YUL DOESN'T CUSS THE "CA 1400" BELOW.
045057,000679:
045058,000680: 6674 30117 GOTOERS CA POLISH # THE GIVEN ADDRESS IS IN ERASABLE - SEE
045059,000681: 6675 66263 AD -ENDVAC # IF RELATIVE TO THE WORK AREA.
045060,000682: 6676 10000 CCS A
045061,000683: 6677 30117 CA POLISH # GENERAL ERASABLE.
045062,000684: 6700 16707 TCF GOTOGE
045063,000685:
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|
Page 1015 |
045065,000687: 6701 30120 CA FIXLOC # WORK AREA.
045066,000688: 6702 60117 AD POLISH
045067,000689: 6703 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF
045068,000690: 6704 30000 CA 0 # THE BRANCH ADDRESS.
045069,000691: 6705 54117 TS POLISH
045070,000692: 6706 16661 TCF GOTO +1 # ALLOWS ARBITRARY INDIRECTNESS LEVELS.
045071,000693:
045072,000694: 6707 54003 GOTOGE TS EBANK
045073,000695: 6710 74357 MASK LOW8
045074,000696: 6711 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF
045075,000697: 6712 31400 CA 1400 # THE BRANCH ADDRESS.
045076,000698: 6713 54117 TS POLISH
045077,000699: 6714 16661 TCF GOTO +1
045078,000700:
045079,000701: 6715 50164 CGOTO INDEX LOC # COMPUTED GO TO. PICK UP ADDRESS OF CADR
045080,000702: 6716 30001 CA 1 # LIST.
045081,000703: 6717 50116 INDEX ADDRWD # ADD MODIFIER.
045082,000704: 6720 60000 AD 0
045083,000705: 6721 54004 TS FBANK # SELECT GOTO ADDRESS.
045084,000706: 6722 75012 MASK LOW10
045085,000707: 6723 50000 INDEX A
045086,000708: 6724 32000 CA 10000
045087,000709: 6725 54117 TS POLISH
045088,000710: 6726 16661 TCF GOTO +1 # WITH ADDRESS IN A.
045089,000711:
045090,000712: 6727 30165 SWBRANCH CA BANKSET # SWITCH INSTRUCTIONS WHICH ELECT TO
045091,000713: 6730 54004 TS FBANK # BRANCH COME HERE TO DO SO.
045092,000714: 6731 50164 INDEX LOC
045093,000715: 6732 30001 CA 1
045094,000716: 6733 54117 TS POLISH
045095,000717: 6734 16661 TCF GOTO +1
045096,000718:
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Page 1016 |
045098,000720: # TRIPLE PRECISION BRANCHING ROUTINE. IF CALLING TC IS AT L, RETURN IS AS FOLLOWS:
045099,000721:
045100,000722: # L+1 IF MPAC IS GREATER THAN ZERO.
045101,000723: # L+2 IF MPAC IS EQUAL TO +0 OR -0.
045102,000724: # L+3 IF MPAC IS LESS THAN ZERO.
045103,000725:
045104,000726: 6735 10154 BRANCH CCS MPAC
045105,000727: 6736 00002 TC Q
045106,000728: 6737 16741 TCF +2 # ON ZERO.
045107,000729: 6740 16753 TCF NEG
045108,000730:
045109,000731: 6741 10155 CCS MPAC +1
045110,000732: 6742 00002 TC Q
045111,000733: 6743 16745 TCF +2
045112,000734: 6744 16753 TCF NEG
045113,000735:
045114,000736: 6745 10156 CCS MPAC +2
045115,000737: 6746 00002 TC Q
045116,000738: 6747 16751 TCF +2
045117,000739: 6750 16753 TCF NEG
045118,000740:
045119,000741: 6751 50002 Q+1 INDEX Q
045120,000742: 6752 00001 TC 1
045121,000743:
045122,000744: 6753 50002 NEG INDEX Q # IF FIRST NON-ZERO REGISTER WAS NEGATIVE.
045123,000745: 6754 00002 TC 2
045124,000746:
045125,000747:
045126,000748: 6755 6753 Q+2 = NEG
045127,000749:
045128,000750: # ITRACE (3) REFERS TO "EXIT".
045129,000751: 6755 30165 EXIT CA BANKSET # RESTORE USER'S BANK SETTING, AND LEAVE
045130,000752: 6756 54006 TS BBANK # INTERPRETIVE MODE.
045131,000753: 6757 50164 INDEX LOC
045132,000754: 6760 00001 TC 1
045133,000755:
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Page 1017 |
045135,000757: # SECTION 3 - ADD/SUBTRACT PACKAGE.
045136,000758:
045137,000759: # THE FOLLOWING OPERATIONS ARE PROVIDED FOR ADDING TO AND SUBTRACTING FROM THE MULTI-PURPOSE ACCUMULATOR
045138,000760: # MPAC:
045139,000761:
045140,000762: # 1. DAD DOUBLE PRECISION ADD.
045141,000763: # 2. DSU DOUBLE PRECISION SUBTRACT.
045142,000764: # 3. BDSU DOUBLE PRECISION SUBTRACT FROM.
045143,000765:
045144,000766: # 4. TAD TRIPLE PRECISION ADD.
045145,000767:
045146,000768: # 5. VAD VECTOR ADD.
045147,000769: # 6. VSU VECTOR SUBTRACT.
045148,000770: # 7. BVSU VECTOR SUBTRACT FROM.
045149,000771:
045150,000772: # THE INTERPRETIVE OVERFLOW INDICATOR OVFIND IS SET NON-ZERO IF OVERFLOW OCCURS IN ANY OF THE ABOVE.
045151,000773:
045152,000774: 6761 34735 VSU CAF BIT15 # CHANGES 0 TO DCS.
045153,000775: 6762 16764 TCF +2
045154,000776:
045155,000777: 6763 34355 VAD CAF PRIO30 # CHANGES 0 TO DCA.
045156,000778: 6764 26116 ADS ADDRWD
045157,000779: 6765 00006 EXTEND
045158,000780: 6766 50116 INDEX ADDRWD
045159,000781: 6767 00003 READ HISCALAR # DCA 2 OR DCS 2
045160,000782: 6770 20160 DAS MPAC +3
045161,000783: 6771 00006 EXTEND # CHECK OVERFLOW.
045162,000784: 6772 16774 BZF +2
045163,000785: 6773 07026 TC OVERFLWY
045164,000786:
045165,000787: 6774 00006 EXTEND
045166,000788: 6775 50116 INDEX ADDRWD
045167,000789: 6776 00005 READ CHAN5 # DCA 4 OR DCS 4
045168,000790: 6777 20162 DAS MPAC +5
045169,000791: 7000 00006 EXTEND
045170,000792: 7001 17003 BZF +2
045171,000793: 7002 07023 TC OVERFLWZ
045172,000794:
045173,000795: 7003 00006 EXTEND
045174,000796: 7004 50116 INDEX ADDRWD
045175,000797: 7005 00001 READ LCHAN # DCA 0 OR DCS 0
045176,000798: 7006 17012 TCF ENDVXV
045177,000799:
045178,000800: 7007 00006 DAD EXTEND
045179,000801: 7010 50116 INDEX ADDRWD
045180,000802: 7011 30001 DCA 0
045181,000803: 7012 20155 ENDVXV DAS MPAC # VXV FINISHES HERE.
045182,000804: 7013 00006 EXTEND
045183,000805: 7014 16073 BZF DANZIG
045184,000806:
|
|
Page 1018 |
045186,000808: 7015 07031 SETOVF TC OVERFLOW
045187,000809: 7016 16073 TCF DANZIG
045188,000810:
|
|
Page 1019 |
045190,000812: 7017 00006 DSU EXTEND
045191,000813: 7020 50116 INDEX ADDRWD
045192,000814: 7021 40001 DCS 0
045193,000815: 7022 17012 TCF ENDVXV
045194,000816:
045195,000817: 7023 54001 OVERFLWZ TS L # ENTRY FOR THIRD COMPONENT.
045196,000818: 7024 34756 CAF FIVE
045197,000819: 7025 17030 TCF +3
045198,000820:
045199,000821: 7026 54001 OVERFLWY TS L # ENTRY FOR SECOND COMPONENT.
045200,000822: 7027 36257 CAF THREE
045201,000823: 7030 56001 XCH L
045202,000824:
045203,000825: 7031 50000 OVERFLOW INDEX A # ENTRY FOR 1ST COMP OR DP (L=0).
045204,000826: 7032 44734 CS LIMITS # PICK UP POSMAX OR NEGMAX.
045205,000827: 7033 54130 TS BUF
045206,000828: 7034 00006 EXTEND
045207,000829: 7035 24000 AUG A # FORCE OVERFLOW.
045208,000830: 7036 50001 INDEX L
045209,000831: 7037 26155 ADS MPAC +1
045210,000832: 7040 54007 TS 7
045211,000833: 7041 34755 CAF ZERO
045212,000834: 7042 60130 AD BUF
045213,000835: 7043 50001 INDEX L
045214,000836: 7044 26154 ADS MPAC
045215,000837: 7045 54007 TS 7
045216,000838: 7046 00002 TC Q # NO OVERFLOW EXIT.
045217,000839: 7047 17164 TCF SETOVF2 # SET OVFIND AND EXIT.
045218,000840:
045219,000841: 7050 00006 BVSU EXTEND
045220,000842: 7051 50116 INDEX ADDRWD
045221,000843: 7052 30003 DCA 2
045222,000844: 7053 52160 DXCH MPAC +3
045223,000845: 7054 00006 EXTEND
045224,000846: 7055 40001 DCOM
045225,000847: 7056 20160 DAS MPAC +3
045226,000848: 7057 00006 EXTEND
045227,000849: 7060 17062 BZF +2
045228,000850: 7061 07026 TC OVERFLWY
045229,000851:
045230,000852: 7062 00006 EXTEND
045231,000853: 7063 50116 INDEX ADDRWD
045232,000854: 7064 30005 DCA 4
045233,000855: 7065 52162 DXCH MPAC +5
045234,000856: 7066 00006 EXTEND
045235,000857: 7067 40001 DCOM
045236,000858: 7070 20162 DAS MPAC +5
045237,000859: 7071 00006 EXTEND
045238,000860: 7072 17074 BZF +2
045239,000861: 7073 07023 TC OVERFLWZ
045240,000862:
|
|
Page 1020 |
045242,000864: 7074 00006 BDSU EXTEND
045243,000865: 7075 50116 INDEX ADDRWD
045244,000866: 7076 30001 DCA 0
045245,000867: 7077 52155 DXCH MPAC
045246,000868: 7100 00006 EXTEND
045247,000869: 7101 40001 DCOM
045248,000870: 7102 17012 TCF ENDVXV
045249,000871:
|
|
Page 1021 |
045251,000873: # TRIPLE PRECISION ADD ROUTINE.
045252,000874:
045253,000875: 7103 00006 TAD EXTEND
045254,000876: 7104 50116 INDEX ADDRWD
045255,000877: 7105 30002 DCA 1 # ADD MINOR PARTS FIRST.
045256,000878: 7106 20156 DAS MPAC +1
045257,000879: 7107 50116 INDEX ADDRWD
045258,000880: 7110 60000 AD 0
045259,000881: 7111 60154 AD MPAC
045260,000882: 7112 54154 TS MPAC
045261,000883: 7113 16073 TCF DANZIG
045262,000884:
045263,000885: 7114 17015 TCF SETOVF # SET OVFIND IF SUCH OCCURS.
045264,000886:
|
|
Page 1022 |
045266,000888: # ARITHMETIC SUBROUTINES REQUIRED IN FIXED-FIXED.
045267,000889:
045268,000890: # 1. DMPSUB DOUBLE PRECISION MULTIPLY. MULTIPLY THE CONTENTS OF MPAC,+1 BY THE DP WORD WHOSE ADDRESS
045269,000891: # IS IN ADDRWD AND LEAVE A TRIPLE PRECISION RESULT IN MPAC.
045270,000892: # 2. ROUNDSUB ROUND THE TRIPLE PRECISON CONTENTS OF MPAC TO DOUBLE PRECISION.
045271,000893: # 3. DOTSUB TAKE THE DOT PRODUCT OF THE VECTOR IN MPAC AND THE VECTOR WHOSE ADDRESS IS IN ADDRWD
045272,000894: # AND LEAVE THE TRIPLE PRECISION RESULT IN MPAC.
045273,000895: # 4. POLY USING THE CONTENTS OF MPAC AS A DP ARGUMENT, EVALUATE THE POLYNOMIAL WHOSE DEGREE AND
045274,000896: # COEFFICIENTS IMMEDIATELY FOLLOW THE TC POLY INSTRUCTION (SEE ROUTINE FOR DETAILS.)
045275,000897:
045276,000898:
045277,000899: 7115 50002 DMP INDEX Q # BASIC SUBROUTINE FOR USE BY PINBALL, ETC
045278,000900: 7116 30000 CAF 0 # ADRES OF ARGUMENT FOLLOWS TC DMP .
045279,000901: 7117 24002 INCR Q
045280,000902: 7120 54116 -1 TS ADDRWD # (PROLOGUE FOR SETTING ADDRWD.)
045281,000903:
045282,000904: 7121 50116 DMPSUB INDEX ADDRWD # GET MINOR PART OF OPERAND AT C(ADDRWD).
045283,000905: 7122 30001 CA 1
045284,000906: 7123 54156 TS MPAC +2 # THIS WORKS FOR SQUARING MPAC AS WELL.
045285,000907: 7124 34755 CAF ZERO # SET MPAC +1 TO ZERO SO WE CAN ACCUMULATE
045286,000908: 7125 56155 XCH MPAC +1 # THE PARTIAL PRODUCTS WITH DAS
045287,000909: 7126 54135 TS MPTEMP # INSTRUCTIONS.
045288,000910: 7127 00006 EXTEND
045289,000911: 7130 70156 MP MPAC +2 # MINOR OF MPAC X MINOR OF C(ADDRWD).
045290,000912:
045291,000913: 7131 56156 XCH MPAC +2 # DISCARD MINOR PART OF ABOVE RESULT AND
045292,000914: 7132 00006 EXTEND # FORM MAJOR OF MPAC X MINOR OF C(ADDRWD).
045293,000915: 7133 70154 MP MPAC
045294,000916: 7134 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW.
045295,000917:
045296,000918: 7135 50116 INDEX ADDRWD # GET MAJOR PART OF ARGUMENT AT C(ADDRWD).
045297,000919: 7136 30000 CA 0
045298,000920: 7137 56135 XCH MPTEMP # SAVE AND BRING OUT MINOR OF MPAC.
045299,000921: 7140 00006 DMPSUB2 EXTEND
045300,000922: 7141 70135 MP MPTEMP # MAJOR OF C(ADDRWD) X MINOR OF MPAC.
045301,000923: 7142 20156 DAS MPAC +1 # ACCUMULATE, SETTING A TO NET OVERFLOW.
045302,000924:
045303,000925: 7143 56154 XCH MPAC # SETTING MPAC TO 0 OR +-1.
045304,000926: 7144 00006 EXTEND
045305,000927: 7145 70135 MP MPTEMP # MAJOR OF MPAC X MAJOR OF C(ADDRWD).
045306,000928: 7146 20155 DAS MPAC # GUARANTEED NO OVERFLOW.
045307,000929: 7147 00002 TC Q # 49 MCT = .573 MS. INCLUDING RETURN.
045308,000930:
|
|
Page 1023 |
045310,000932: # ROUND MPAC TO DOUBLE PRECISION, SETTING OVFIND ON THE RARE EVENT OF OVERFLOW.
045311,000933:
045312,000934: 7150 34755 ROUNDSUB CAF ZERO # SET MPAC +2 = 0 FOR SCALARS AND CHANGE
045313,000935: 7151 54163 +1 TS MODE # MODE TO DP.
045314,000936:
045315,000937: 7152 56156 VROUND XCH MPAC +2 # BUT WE NEEDNT TAKE THE TIME FOR VECTORS.
045316,000938: 7153 60000 DOUBLE
045317,000939: 7154 54001 TS L
045318,000940: 7155 00002 TC Q
045319,000941:
045320,000942: 7156 60155 AD MPAC +1 # ADD ROUNDING BIT IF MPAC +2 WAS GREATER
045321,000943: 7157 54155 TS MPAC +1 # THAN .5 IN MAGNITUDE.
045322,000944: 7160 00002 TC Q
045323,000945:
045324,000946: 7161 60154 AD MPAC # PROPAGATE INTERFLOW.
045325,000947: 7162 54154 TS MPAC
045326,000948: 7163 00002 TC Q
045327,000949:
045328,000950: 7164 54121 SETOVF2 TS OVFIND # (RARE).
045329,000951: 7165 00002 TC Q
045330,000952:
|
|
Page 1024 |
045332,000954: # THE DOT PRODUCT SUBROUTINE USUALLY FORMS THE DOT PRODUCT OF THE VECTOR IN MPAC WITH A STANDARD SIX
045333,000955: # REGISTER VECTOR WHOSE ADDRESS IS IN ADDRWD. IN THIS CASE C(DOTINC) ARE SET TO 2. VXM, HOWEVER, SETS C(DOTINC) TO
045334,000956: # 6 SO THAT DOTSUB DOTS MPAC WITH A COLUMN VECTOR OF THE MATRIX IN QUESTION IN THIS CASE.
045335,000957:
045336,000958: 7166 34752 PREDOT CAF TWO # PROLOGUE TO SET DOTINC TO 2.
045337,000959: 7167 54136 TS DOTINC
045338,000960:
045339,000961: 7170 00006 DOTSUB EXTEND
045340,000962: 7171 22137 QXCH DOTRET # SAVE RETURN.
045341,000963: 7172 07121 TC DMPSUB # DOT X COMPONENTS.
045342,000964: 7173 52160 DXCH MPAC +3 # POSITION Y COMPONENT OF MPAC FOR
045343,000965: 7174 52155 DXCH MPAC # MULTIPLICATION WHILE SAVING RESULT IN
045344,000966: 7175 52131 DXCH BUF # THREE WORD BUFFER, BUF.
045345,000967: 7176 30156 CA MPAC +2
045346,000968: 7177 54132 TS BUF +2
045347,000969:
045348,000970: 7200 30136 CA DOTINC # ADVANCE ADDRWD TO Y COMPONENT OF
045349,000971: 7201 26116 ADS ADDRWD # OTHER ARGUMENT.
045350,000972: 7202 07121 TC DMPSUB
045351,000973: 7203 52156 DXCH MPAC +1 # ACCUMULATE PARTIAL PRODUCTS.
045352,000974: 7204 20132 DAS BUF +1
045353,000975: 7205 60154 AD MPAC
045354,000976: 7206 60130 AD BUF
045355,000977: 7207 54130 TS BUF
045356,000978: 7210 17212 TCF +2
045357,000979: 7211 54121 TS OVFIND # IF OVERFLOW OCCURS.
045358,000980:
045359,000981: 7212 52162 DXCH MPAC +5 # MULTIPLY Z COMPONENTS.
045360,000982: 7213 52155 DXCH MPAC
045361,000983: 7214 30136 CA DOTINC
045362,000984: 7215 26116 ADS ADDRWD
045363,000985: 7216 07121 TC DMPSUB
045364,000986: 7217 52132 ENDDOT DXCH BUF +1 # LEAVE FINAL ACCUMULATION IN MPAC.
045365,000987: 7220 20156 DAS MPAC +1
045366,000988: 7221 60154 AD MPAC
045367,000989: 7222 60130 AD BUF
045368,000990: 7223 54154 TS MPAC
045369,000991: 7224 00137 TC DOTRET
045370,000992:
045371,000993: 7225 07031 TC OVERFLOW # ON OVERFLOW HERE.
045372,000994: 7226 00137 TC DOTRET
045373,000995:
|
|
Page 1025 |
045375,000997: # DOUBLE PRECISION POLYNOMIAL EVALUATOR
045376,000998:
045377,000999: # N N-1
045378,001000: # THIS ROUTINE EVALUATES A X + A X + ... + A X + A LEAVING THE DP RESULT IN MPAC ON EXIT.
045379,001001: # N N-1 1 0
045380,001002:
045381,001003: # THE ROUTINE HAS TWO ENTRIES
045382,001004:
045383,001005: # 1. ENTRY THRU POWRSERS. THE COEFFICIENTS MAY BE EITHER IN FIXED OR ERASABLE, THE CALL IS BY
045384,001006: # TC POWRSERS, AND THE RETURN IS TO LOC(TC POWRSERS)+1. THE ENTERING DATA MUST BE AS FOLLOWS
045385,001007:
045386,001008: # A SP LOC-3 ADDRESS FOR REFERENCING COEF TABLE
045387,001009: # L SP N-1 N IS THE DEGREE OF THE POWER SERIES
045388,001010: # MPAC DP X ARGUMENT
045389,001011:
045390,001012: # LOC-2N DP A(0)
045391,001013: # ...
045392,001014: # LOC DP A(N)
045393,001015:
045394,001016: # 2. ENTRY THRU POLY. THE CALL TO POLY AND THE ENTERING DATA MUST BE AS FOLLOWS
045395,001017:
045396,001018: # MPAC DP X ARGUMENT
045397,001019:
045398,001020: # LOC TC POLY
045399,001021: # LOC+1 SP N-1
045400,001022: # LOC+2 DP A(0)
045401,001023: # ...
045402,001024: # LOC+2N+2 DP A(N) RETURN IS TO LOC+2N+4
045403,001025:
045404,001026: 7227 00006 POWRSERS EXTEND
045405,001027: 7230 22141 QXCH POLYRET # RETURN ADDRESS
045406,001028: 7231 54117 TS POLISH # POWER SERIES ADDRESS
045407,001029: 7232 22140 LXCH POLYCNT # N-1 TO COUNTER
045408,001030: 7233 17244 TCF POLYCOM # SKIP SET UP BY POLY
045409,001031:
045410,001032: 7234 50002 POLY INDEX Q
045411,001033: 7235 30000 CAF 0
045412,001034: 7236 54140 TS POLYCNT # N-1 TO COUNTER
045413,001035: 7237 60000 DOUBLE
045414,001036: 7240 60002 AD Q
045415,001037: 7241 54117 TS POLISH # L(A(N))-3 TO POLISH
045416,001038: 7242 64756 AD FIVE
045417,001039: 7243 54141 TS POLYRET # STORE RETURN ADDRESS
045418,001040:
045419,001041: 7244 36305 POLYCOM CAF LVBUF # INCOMING X WILL BE MOVED TO VBUF, SO
045420,001042: 7245 54116 TS ADDRWD # SET ADDRWD SO DMPSUB WILL MPY BY VBUF.
045421,001043:
045422,001044: 7246 00006 EXTEND
045423,001045: 7247 50117 INDEX POLISH
045424,001046: 7250 30004 DCA 3
045425,001047:
|
|
Page 1026 |
045427,001049: 7251 52155 DXCH MPAC # LOAD A(N) INTO MPAC,
045428,001050: 7252 52123 DXCH VBUF # SAVING X IN VBUF
045429,001051: 7253 17257 TCF POLY2
045430,001052:
045431,001053: 7254 54140 POLYLOOP TS POLYCNT # SAVE DECREMENTED LOOP COUNTER
045432,001054: 7255 44752 CS TWO
045433,001055: 7256 26117 ADS POLISH # REGRESS COEFFICIENT POINTER
045434,001056:
045435,001057: 7257 07121 POLY2 TC DMPSUB # MULTIPLY BY X
045436,001058: 7260 00006 EXTEND
045437,001059: 7261 50117 INDEX POLISH
045438,001060: 7262 30002 DCA 1 # ADD IN NEXT COEFFICIENT
045439,001061: 7263 20155 DAS MPAC # USERS RESPONSIBILITY TO ASSURE NO OVFLOW
045440,001062:
045441,001063: 7264 10140 CCS POLYCNT
045442,001064: 7265 17254 TCF POLYLOOP
045443,001065: 7266 00141 TC POLYRET # RETURN CALLER
045444,001066:
|
|
Page 1027 |
045446,001068: # MISCELLANEOUS MULTI-PRECISION ROUTINES REQUIRED IN FIXED-FIXED BUT NOT USED BY THE INTERPRETER.
045447,001069:
045448,001070: 7267 34755 DPAGREE CAF ZERO # DOUBLE PRECISION ENTRY -
045449,001071: 7270 54156 TS MPAC +2 # ZERO LOW-ORDER WORD
045450,001072:
045451,001073: 7271 22002 TPAGREE LXCH Q # FORCE SIGN AGREEMENT AMONG THE TRIPLE
045452,001074: 7272 06735 TC BRANCH # PRECISION CONTENTS OF MPAC. RETURNING
045453,001075: 7273 17277 TCF ARG+ # WITH SIGNUM OF THE INPUT IN A.
045454,001076: 7274 17317 TCF ARGZERO
045455,001077:
045456,001078: 7275 44733 CS POSMAX # IF NEGATIVE.
045457,001079: 7276 17300 TCF +2
045458,001080:
045459,001081: 7277 34733 ARG+ CAF POSMAX
045460,001082: 7300 54002 TS Q
045461,001083: 7301 00006 EXTEND
045462,001084: 7302 24000 AUG A # FORMS +-1.0.
045463,001085: 7303 60156 AD MPAC +2
045464,001086: 7304 54156 TS MPAC +2
045465,001087: 7305 34755 CAF ZERO
045466,001088: 7306 60002 AD Q
045467,001089: 7307 60155 AD MPAC +1
045468,001090: 7310 54155 TS MPAC +1
045469,001091: 7311 34755 CAF ZERO
045470,001092: 7312 60002 AD Q # Q STILL HAS POSMAX OR NEGMAX IN IT.
045471,001093: 7313 60154 AD MPAC
045472,001094: 7314 54154 ARGZERO2 TS MPAC # ALWAYS SKIPPING UNLESS ARGZERO.
045473,001095: 7315 54155 TS MPAC +1
045474,001096: 7316 00001 TC L # RETURN VIA L.
045475,001097:
045476,001098: 7317 54156 ARGZERO TS MPAC +2 # SET ALL THREE MPAC REGISTERS TO ZERO.
045477,001099: 7320 17314 TCF ARGZERO2
045478,001100:
045479,001101: # SHORTMP MULTIPLIES THE TP CONTENTS OF MPAC BY THE SINGLE PRECISION NUMBER ARRIVING IN A.
045480,001102:
045481,001103: 7321 54135 SHORTMP TS MPTEMP
045482,001104: 7322 00006 EXTEND
045483,001105: 7323 70156 MP MPAC +2
045484,001106: 7324 54156 TS MPAC +2
045485,001107: 7325 34755 SHORTMP2 CAF ZERO # SO SUBSEQUENT DAS WILL WORK.
045486,001108: 7326 56155 XCH MPAC +1
045487,001109: 7327 17140 TCF DMPSUB2
045488,001110:
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|
Page 1028 |
045490,001112: # DMPNSUB MULTIPLIES THE DP FRACTION ARRIVING IN MPAC BY THE SP
045491,001113: # INTEGER ARRIVING IN A. THE DP PRODUCT DEPARTS BOTH IN MPAC AND IN
045492,001114: # A AND L. NOTE THAT DMPNSUB NORMALLY INCREASES THE MAGNITUDE OF THE
045493,001115: # CONTENTS OF MPAC. THE CUSTOMER MUST INSURE THAT B(A) X B(MPAC,MPAC+1)
045494,001116: # AND B(A) X B(MPAC) ARE LESS THAN 1 IN MAGNITUDE, WHERE B, AS IS OBVIOUS,
045495,001117: # INDICATES THE ARRIVING CONTENTS.
045496,001118:
045497,001119: 7330 54135 DMPNSUB TS DMPNTEMP
045498,001120: 7331 00006 EXTEND
045499,001121: 7332 70155 MP MPAC +1
045500,001122: 7333 52155 DXCH MPAC # LOW PRODUCT TO MPAC, HIGH FACTOR TO A
045501,001123: 7334 00006 EXTEND
045502,001124: 7335 70135 MP DMPNTEMP
045503,001125: 7336 30001 CA L
045504,001126: 7337 26154 ADS MPAC # COMPLETING THE PRODUCT IN MPAC
045505,001127: 7340 00006 EXTEND
045506,001128: 7341 30155 DCA MPAC # BRINGING THE PRODUCT INTO A AND L
045507,001129: 7342 00002 TC Q
045508,001130:
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|
Page 1029 |
045510,001132: # MISCELLANEOUS VECTOR OPERATIONS. INCLUDED HERE ARE THE FOLLOWING:
045511,001133:
045512,001134: # 1. DOT DP VECTOR DOT PRODUCT.
045513,001135: # 2. VXV DP VECTOR CROSS PRODUCT.
045514,001136: # 3. VXSC DP VECTOR TIMES SCALAR.
045515,001137: # 4. V/SC DP VECTOR DIVIDED BY SCALAR.
045516,001138: # 5. VPROJ DP VECTOR PROJECTION. ( (MPAC.X)MPAC ).
045517,001139: # 6. VXM DP VECTOR POST-MULTIPLIED BY MATRIX.
045518,001140: # 7. MXV DP VECTOR PRE-MULTIPLIED BY MATRIX.
045519,001141:
045520,001142: 7343 07166 DOT TC PREDOT # DO THE DOT PRODUCT AND EXIT, CHANGING
045521,001143: 7344 34755 DMODE CAF ZERO # THE MODE TO DP SCALAR.
045522,001144: 7345 16072 TCF NEWMODE
045523,001145:
045524,001146:
045525,001147: 7346 34752 MXV CAF TWO # SET UP MATINC AND DOTINC FOR ROW
045526,001148: 7347 54140 TS MATINC # VECTORS.
045527,001149: 7350 17354 TCF VXM/MXV # GO TO COMMON PORTION.
045528,001150:
045529,001151: 7351 44363 VXM CS TEN # SET MATINC AND DOTINC TO REFER TO MATRIX
045530,001152: 7352 54140 TS MATINC # AS THREE COLUMN VECTORS.
045531,001153: 7353 36254 CAF SIX
045532,001154:
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|
Page 1030 |
045534,001156: # COMMON PORTION OF MXV AND VXM.
045535,001157:
045536,001158: 7354 54136 VXM/MXV TS DOTINC
045537,001159: # ITRACE (2) REFERS TO "VXM/MXV".
045538,001160: 7355 07544 TC MPACVBUF # SAVE VECTOR IN MPAC FOR FURTHER USE.
045539,001161:
045540,001162: 7356 07170 TC DOTSUB # GO DOT TO GET X COMPONENT OF ANSWER.
045541,001163: 7357 00006 EXTEND
045542,001164: 7360 30123 DCA VBUF # MOVE MPAC VECTOR BACK INTO MPAC, SAVING
045543,001165: 7361 52155 DXCH MPAC # NEW X COMPONENT IN BUF2.
045544,001166: 7362 52134 DXCH BUF2
045545,001167: 7363 00006 EXTEND
045546,001168: 7364 30125 DCA VBUF +2
045547,001169: 7365 52160 DXCH MPAC +3
045548,001170: 7366 00006 EXTEND
045549,001171: 7367 30127 DCA VBUF +4
045550,001172: 7370 52162 DXCH MPAC +5
045551,001173: 7371 30140 CA MATINC # INITIALIZE ADDRWD FOR NEXT DOT PRODUCT.
045552,001174: 7372 26116 ADS ADDRWD # FORMS BASE ADDRESS OF NEXT COLUMN(ROW).
045553,001175:
045554,001176: 7373 07170 TC DOTSUB
045555,001177: 7374 52123 DXCH VBUF # MOVE GIVEN VECTOR BACK TO MPAC, SAVING Y
045556,001178: 7375 52155 DXCH MPAC # COMPONENT OF ANSWER IN VBUF +2.
045557,001179: 7376 52125 DXCH VBUF +2
045558,001180: 7377 52160 DXCH MPAC +3
045559,001181: 7400 52127 DXCH VBUF +4
045560,001182: 7401 52162 DXCH MPAC +5
045561,001183: 7402 30140 CA MATINC # FORM ADDRESS OF LAST COLUMN OR ROW.
045562,001184: 7403 26116 ADS ADDRWD
045563,001185:
045564,001186: 7404 07170 TC DOTSUB
045565,001187: 7405 52134 DXCH BUF2 # ANSWER NOW COMPLETE. PUT COMPONENTS INTO
045566,001188: 7406 52155 DXCH MPAC # PROPER MPAC REGISTERS.
045567,001189: 7407 52162 DXCH MPAC +5
045568,001190: 7410 52125 DXCH VBUF +2
045569,001191: 7411 52160 DXCH MPAC +3
045570,001192: 7412 16073 TCF DANZIG # EXIT.
045571,001193:
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|
Page 1031 |
045573,001195: # VXSC - VECTOR TIMES SCALAR.
045574,001196:
045575,001197: 7413 10163 VXSC CCS MODE # TEST PRESENT MODE.
045576,001198: 7414 17442 TCF DVXSC # SEPARATE ROUTINE WHEN SCALAR IS IN MPAC.
045577,001199: 7415 17442 TCF DVXSC
045578,001200:
045579,001201: 7416 07121 VVXSC TC DMPSUB # COMPUTE X COMPONENT
045580,001202: 7417 07152 TC VROUND # AND ROUND IT.
045581,001203: 7420 52160 DXCH MPAC +3 # PUT Y COMPONENT INTO MPAC SAVING MPAC IN
045582,001204: 7421 52155 DXCH MPAC # MPAC +3.
045583,001205: 7422 52160 DXCH MPAC +3
045584,001206:
045585,001207: 7423 07121 TC DMPSUB # DO SAME FOR Y AND Z COMPONENTS.
045586,001208: 7424 07152 TC VROUND
045587,001209: 7425 52162 DXCH MPAC +5
045588,001210: 7426 52155 DXCH MPAC
045589,001211: 7427 52162 DXCH MPAC +5
045590,001212:
045591,001213: 7430 07121 TC DMPSUB
045592,001214: 7431 07152 TC VROUND
045593,001215: 7432 52155 VROTATEX DXCH MPAC # EXIT USED TO RESTORE MPAC AFTER THIS
045594,001216: 7433 52162 DXCH MPAC +5 # TYPE OF ROTATION. CALLED BY VECTOR SHIFT
045595,001217: 7434 52160 DXCH MPAC +3 # RIGHT, V/SC, ETC.
045596,001218: 7435 52155 DXCH MPAC
045597,001219: 7436 16073 TCF DANZIG
045598,001220:
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|
Page 1032 |
045600,001222: # DP VECTOR PROJECTION ROUTINE.
045601,001223:
045602,001224: 7437 07166 VPROJ TC PREDOT # (MPAC.X)MPAC IS COMPUTED AND LEFT IN
045603,001225: 7440 44751 CS FOUR # MPAC. DO DOT AND FALL INTO DVXSC.
045604,001226: 7441 26116 ADS ADDRWD
045605,001227:
045606,001228: # VXSC WHEN SCALAR ARRIVES IN MPAC AND VECTOR IS AT X.
045607,001229:
045608,001230: 7442 00006 DVXSC EXTEND # SAVE SCALAR IN MPAC +3 AND GET X
045609,001231: 7443 30155 DCA MPAC # COMPONENT OF ANSWER.
045610,001232: 7444 52160 DXCH MPAC +3
045611,001233: 7445 07121 TC DMPSUB
045612,001234: 7446 07152 TC VROUND
045613,001235:
045614,001236: 7447 34752 CAF TWO # ADVANCE ADDRWD TO Y COMPONENT OF X.
045615,001237: 7450 26116 ADS ADDRWD
045616,001238: 7451 00006 EXTEND
045617,001239: 7452 30160 DCA MPAC +3 # PUT SCALAR BACK INTO MPAC AND SAVE
045618,001240: 7453 52155 DXCH MPAC # X RESULT IN MPAC +5.
045619,001241: 7454 52162 DXCH MPAC +5
045620,001242: 7455 07121 TC DMPSUB
045621,001243: 7456 07152 TC VROUND
045622,001244:
045623,001245: 7457 34752 CAF TWO
045624,001246: 7460 26116 ADS ADDRWD # TO Z COMPONENT.
045625,001247: 7461 52160 DXCH MPAC +3 # BRING SCALAR BACK, PUTTING Y RESULT IN
045626,001248: 7462 52155 DXCH MPAC # THE PROPER PLACE.
045627,001249: 7463 52160 DXCH MPAC +3
045628,001250: 7464 07121 TC DMPSUB
045629,001251: 7465 07152 TC VROUND
045630,001252:
045631,001253: 7466 52155 DXCH MPAC # PUT Z COMPONENT IN PROPER PLACE, ALSO
045632,001254: 7467 52162 DXCH MPAC +5 # POSITIONING X.
045633,001255: 7470 52155 DXCH MPAC
045634,001256:
045635,001257: 7471 16533 TCF VMODE # MODE HAS CHANGED TO VECTOR.
045636,001258:
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|
Page 1033 |
045638,001260: # THE VECTOR CROSS PRODUCT ROUTINE CALCULATES (X M -X M ,X M -X M ,X M -X M ) WHERE M IS THE VECTOR IN
045639,001261: # 3 2 2 3 1 3 3 1 2 1 1 2
045640,001262: # MPAC AND X THE VECTOR AT THE GIVEN ADDRESS.
045641,001263:
045642,001264: 7472 00006 VXV EXTEND
045643,001265: 7473 30162 DCA MPAC +5 # FORM UP M3X1, LEAVING M1 IN VBUF.
045644,001266: 7474 52155 DXCH MPAC
045645,001267: 7475 52123 DXCH VBUF
045646,001268: 7476 07121 TC DMPSUB # BY X1.
045647,001269:
045648,001270: 7477 00006 EXTEND
045649,001271: 7500 40160 DCS MPAC +3 # CALCULATE -X1M2, SAVING X1M3 IN VBUF +2.
045650,001272: 7501 52155 DXCH MPAC
045651,001273: 7502 52125 DXCH VBUF +2
045652,001274: 7503 07121 TC DMPSUB
045653,001275:
045654,001276: 7504 34752 CAF TWO # ADVANCE ADDRWD TO X2.
045655,001277: 7505 26116 ADS ADDRWD
045656,001278: 7506 00006 EXTEND
045657,001279: 7507 40162 DCS MPAC +5 # PREPARE TO GET -X2M3, SAVING -X1M2 IN
045658,001280: 7510 52155 DXCH MPAC # MPAC +5.
045659,001281: 7511 52162 DXCH MPAC +5
045660,001282: 7512 07121 TC DMPSUB
045661,001283:
045662,001284: 7513 00006 EXTEND
045663,001285: 7514 30123 DCA VBUF # GET X2M1, SAVING -X2M3 IN VBUF +4.
045664,001286: 7515 52155 DXCH MPAC
045665,001287: 7516 52127 DXCH VBUF +4
045666,001288: 7517 07121 TC DMPSUB
045667,001289:
045668,001290: 7520 34752 CAF TWO # ADVANCE ADDRWD TO X3.
045669,001291: 7521 26116 ADS ADDRWD
045670,001292: 7522 00006 EXTEND
045671,001293: 7523 40123 DCS VBUF # GET -X3M1, ADDING X2M1 TO MPAC +5 TO
045672,001294: 7524 52155 DXCH MPAC # COMPLETE THE Z COMPONENT OF THE ANSWER.
045673,001295: 7525 20162 DAS MPAC +5
045674,001296:
045675,001297: 7526 00006 EXTEND
045676,001298: 7527 17531 BZF +2
045677,001299: 7530 07023 TC OVERFLWZ
045678,001300:
045679,001301: 7531 07121 TC DMPSUB
045680,001302: 7532 52125 DXCH VBUF +2 # MOVE X1M3 TO MPAC +3 SETTING UP FOR X3M2
045681,001303: 7533 52160 DXCH MPAC +3 # AND ADD -X3M1 TO MPAC +3 TO COMPLETE THE
045682,001304: 7534 52155 DXCH MPAC # Y COMPONENT OF THE RESULT.
045683,001305: 7535 20160 DAS MPAC +3
045684,001306:
045685,001307: 7536 00006 EXTEND
045686,001308: 7537 17541 BZF +2
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|
Page 1034 |
045688,001310: 7540 07026 TC OVERFLWY
045689,001311:
045690,001312: 7541 07121 TC DMPSUB
045691,001313: 7542 52127 DXCH VBUF +4 # GO ADD -X2M3 TO X3M2 TO COMPLETE THE X
045692,001314: 7543 17012 TCF ENDVXV # COMPONENT (TAIL END OF DAD).
045693,001315:
045694,001316: # THE MPACVBUF SUBROUTINE SAVES THE VECTOR IN MPAC IN VBUF WITHOUT CLOBBERING MPAC.
045695,001317:
045696,001318: 7544 00006 MPACVBUF EXTEND # CALLED BY MXV, VXM, AND UNIT.
045697,001319: 7545 30155 DCA MPAC
045698,001320: 7546 52123 DXCH VBUF
045699,001321: 7547 00006 EXTEND
045700,001322: 7550 30160 DCA MPAC +3
045701,001323: 7551 52125 DXCH VBUF +2
045702,001324: 7552 00006 EXTEND
045703,001325: 7553 30162 DCA MPAC +5
045704,001326: 7554 52127 DXCH VBUF +4
045705,001327: 7555 00002 TC Q # RETURN TO CALLER.
045706,001328:
045707,001329:
045708,001330: # DOUBLE PRECISION SIGN AGREE ROUTINE. ARRIVE WITH INPUT IN A+L. OUTPUT IS IN A + L.
045709,001331:
045710,001332: 7556 10000 ALSIGNAG CCS A # TEST UPPER PART.
045711,001333: 7557 17563 TCF UPPOS # IT IS POSITIVE
045712,001334: 7560 00002 TC Q # ZERO
045713,001335: 7561 17573 TCF UPNEG # NEGATIVE
045714,001336: 7562 00002 TC Q # ZERO
045715,001337:
045716,001338: 7563 56001 UPPOS XCH L # SAVE DECREMENTED UPPER PART.
045717,001339: 7564 64736 AD HALF
045718,001340: 7565 64736 AD HALF
045719,001341: 7566 54000 TS A # SKIPS ON OVERFLOW
045720,001342: 7567 17571 TCF +2
045721,001343: 7570 24001 INCR L # RESTORE UPPER TO ROIGINAL VALUE
045722,001344: 7571 56001 XCH L # SWAP A + L BACK.
045723,001345: 7572 00002 TC Q
045724,001346:
045725,001347: 7573 56001 UPNEG XCH L # SAVE COMPLEMENTED + DECREMENTED UPPER PT
045726,001348: 7574 64735 AD NEGMAX
045727,001349: 7575 67761 AD NEGONE
045728,001350: 7576 54000 TS A
045729,001351: 7577 17601 TCF +2 # DONT INCREMENT IF NO OVERFLOW.
045730,001352: 7600 24001 INCR L
045731,001353: 7601 56001 XCH L
045732,001354: 7602 40000 COM # MAKE NEGATIVE AGAIN.
045733,001355: 7603 00002 TC Q
045734,001356:
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|
Page 1035 |
045736,001358: # INTERPRETIVE INSTRUCTIONS WHOSE EXECUTION CONSISTS OF PRINCIPALLY CALLING SUBROUTINES.
045737,001359:
045738,001360: 7604 07121 DMP1 TC DMPSUB # DMP INSTRUCTION.
045739,001361: 7605 16073 TCF DANZIG
045740,001362:
045741,001363: 7606 07121 DMPR TC DMPSUB
045742,001364: 7607 07151 TC ROUNDSUB +1 # (C(A) = +0).
045743,001365: 7610 16073 TCF DANZIG
045744,001366:
045745,001367: 7611 00006 DDV EXTEND
045746,001368: 7612 50116 INDEX ADDRWD # MOVE DIVIDEND INTO BUF.
045747,001369: 7613 30001 DCA 0
045748,001370: 7614 17621 TCF BDDV +4
045749,001371:
045750,001372: 7615 00006 BDDV EXTEND # MOVE DIVISOR INTO MPAC SAVING MPAC, THE
045751,001373: 7616 50116 INDEX ADDRWD # DIVIDEND, IN BUF.
045752,001374: 7617 30001 DCA 0
045753,001375: 7620 52155 DXCH MPAC
045754,001376: 7621 52131 +4 DXCH BUF
045755,001377: 7622 34755 CAF ZERO # DIVIDE ROUTINES IN BANK 0.
045756,001378: 7623 54004 TS FBANK
045757,001379: 7624 12353 TCF DDV/BDDV
045758,001380:
045759,001381: 7625 30116 SETPD CA ADDRWD # MUST SET TO WORK AREA, OR EBANK TROUBLE.
045760,001382: 7626 54166 TS PUSHLOC
045761,001383: 7627 16075 TCF NOIBNKSW # NO FBANK SWITCH REQUIRED.
045762,001384:
045763,001385: 7630 34755 TSLC CAF ZERO # SHIFTING ROUTINES LOCATED IN BANK 00.
045764,001386: 7631 54004 TS FBANK
045765,001387: 7632 12172 TCF TSLC2
045766,001388:
045767,001389: 7633 36106 GSHIFT CAF LOW7 # USED AS MASK AT GENSHIFT. THIS PROCESSES
045768,001390: 7634 54004 TS FBANK # ANY SHIFT INSTRUCTION (EXCEPT TSLC) WITH
045769,001391: 7635 12214 TCF GENSHIFT # AN ADDRESS (ROUTINES IN BANK 0).
045770,001392:
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Page 1036 |
045772,001394: # THE FOLLOWING IS THE PROLOGUE TO V/SC. IF THE PRESENT MODE IS VECTOR, IT SAVES THE SCALAR AT X IN BUF
045773,001395: # AND CALLS THE V/SC ROUTINE IN BANK 0. IF THE PRESENT MODE IS SCALAR, IT MOVES THE VECTOR AT X INTO MPAC, SAVING
045774,001396: # THE SCALAR IN MPAC IN BUF BEFORE CALLING THE V/SC ROUTINE IN BANK 0.
045775,001397:
045776,001398: 7636 10163 V/SC CCS MODE
045777,001399: 7637 17650 TCF DV/SC # MOVE VECTOR INTO MPAC.
045778,001400: 7640 17650 TCF DV/SC
045779,001401:
045780,001402: 7641 00006 VV/SC EXTEND
045781,001403: 7642 50116 INDEX ADDRWD
045782,001404: 7643 30001 DCA 0
045783,001405: 7644 52131 V/SC1 DXCH BUF # IN BOTH CASES, VECTOR IS NOW IN MPAC AND
045784,001406: 7645 34755 CAF ZERO # SCALAR IN BUF.
045785,001407: 7646 54004 TS FBANK
045786,001408: 7647 12654 TCF V/SC2
045787,001409:
045788,001410: 7650 00006 DV/SC EXTEND
045789,001411: 7651 50116 INDEX ADDRWD
045790,001412: 7652 30003 DCA 2
045791,001413: 7653 52160 DXCH MPAC +3
045792,001414: 7654 00006 EXTEND
045793,001415: 7655 50116 INDEX ADDRWD
045794,001416: 7656 30005 DCA 4
045795,001417: 7657 52162 DXCH MPAC +5
045796,001418:
045797,001419: 7660 44753 CS ONE # CHANGE MODE TO VECTOR.
045798,001420: 7661 54163 TS MODE
045799,001421:
045800,001422: 7662 00006 EXTEND
045801,001423: 7663 50116 INDEX ADDRWD
045802,001424: 7664 30001 DCA 0
045803,001425: 7665 52155 DXCH MPAC
045804,001426: 7666 17644 TCF V/SC1 # FINISH PROLOGUE AT COMMON SECTION.
045805,001427:
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|
Page 1037 |
045807,001429: # SIGN AND COMPLEMENT INSTRUCTIONS.
045808,001430:
045809,001431: 7667 50116 SIGN INDEX ADDRWD # CALL COMP INSTRUCTION IF WORD AT X IS
045810,001432: 7670 10000 CCS 0 # NEGATIVE NON-ZERO.
045811,001433: 7671 16073 TCF DANZIG
045812,001434: 7672 17674 TCF +2
045813,001435: 7673 17702 TCF COMP # DO THE COMPLEMENT.
045814,001436:
045815,001437: 7674 50116 INDEX ADDRWD
045816,001438: 7675 10001 CCSL CCS 1
045817,001439: 7676 16073 TCF DANZIG
045818,001440: 7677 16073 TCF DANZIG
045819,001441: 7700 17702 TCF COMP
045820,001442: 7701 16073 TCF DANZIG
045821,001443: 7702 00006 COMP EXTEND # COMPLEMENT DP MPAC IN EVERY CASE.
045822,001444: 7703 40155 DCS MPAC
045823,001445: 7704 52155 DXCH MPAC
045824,001446:
045825,001447: 7705 10163 CCS MODE # EITHER COMPLEMENT MPAC +3 OR THE REST OF
045826,001448: 7706 17717 TCF DCOMP # THE VECTOR ACCUMULATOR.
045827,001449: 7707 17717 TCF DCOMP
045828,001450:
045829,001451: 7710 00006 EXTEND # VECTOR COMPLEMENT.
045830,001452: 7711 40160 DCS MPAC +3
045831,001453: 7712 52160 DXCH MPAC +3
045832,001454: 7713 00006 EXTEND
045833,001455: 7714 40162 DCS MPAC +5
045834,001456: 7715 52162 DXCH MPAC +5
045835,001457: 7716 16073 TCF DANZIG
045836,001458:
045837,001459: 7717 40156 DCOMP CS MPAC +2
045838,001460: 7720 54156 TS MPAC +2
045839,001461: 7721 16073 TCF DANZIG
045840,001462:
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Page 1038 |
045842,001464: # THE FOLLOWING SHORT SHIFT CODES REQUIRE NO ADDRESS WORD:
045843,001465:
045844,001466: # 1. SR1 TO SR4 SCALAR SHIFT RIGHT.
045845,001467: # 2. SR1R TO SR4R SCALAR SHIFT RIGHT AND ROUND.
045846,001468: # 3. SL1 TO SL4 SCALAR SHIFT LEFT.
045847,001469: # 4. SL1R TO SL4R SCALAR SHIFT LEFT AND ROUND.
045848,001470:
045849,001471: # 5. VSR1 TO VSR8 VECTOR SHIFT RIGHT (ALWAYS ROUNDS).
045850,001472: # 6. VSL1 TO VSL8 VECTOR SHIFT LEFT (NEVER ROUNDS).
045851,001473:
045852,001474: # THE FOLLOWING CODES REQUIRE AN ADDRESS WHICH MAY BE INDEXED:*
045853,001475:
045854,001476: # 1. SR SCALAR SHIFT RIGHT.
045855,001477: # 2. SRR SCALAR SHIFT RIGHT AND ROUND.
045856,001478: # 3. SL SCALAR SHIFT LEFT.
045857,001479: # 4. SLR SCALAR SHIFT LEFT AND ROUND.
045858,001480:
045859,001481: # 5. VSR VECTOR SHIFT RIGHT.
045860,001482: # 6. VSL VECTOR SHIFT LEFT.
045861,001483:
045862,001484: # * IF THE ADDRESS IS INDEXED, AND THE INDEX MODIFICATION RESULTS IN A NEGATIVE SHIFT COUNT, A SHIFT OF THE
045863,001485: # ABSOLUTE VALUE OF THE COUNT IS DONE IN THE OPPOSITE DIRECTION.
045864,001486:
045865,001487:
045866,001488: 00,2017 BANK 00
045867,001489:
045868,001490: 00,2017 COUNT* $$/INTER
045869,001491: 00,2017 36254 SHORTT CAF SIX # SCALAR SHORT SHIFTS COME HERE. THE SHIFT
045870,001492: 00,2020 70020 MASK CYR # COUNT-1 IS NOW IN BITS 2-3 OF CYR. THE
045871,001493: 00,2021 54021 TS SR # ROUNDING BIT IS IN BIT1 AT THIS POINT.
045872,001494:
045873,001495: 00,2022 10020 CCS CYR # SEE IF RIGHT OR LEFT SHIFT DESIRED.
045874,001496: 00,2023 12101 TCF TSSL # SHIFT LEFT.
045875,001497:
045876,001498: 00,2024 00024 SRDDV DEC 20 B-14 # MPTEMP SETTING FOR SR BEFORE DDV.
045877,001499:
045878,001500: 00,2025 50021 TSSR INDEX SR # GET SHIFTING BIT.
045879,001501: 00,2026 34736 CAF BIT14
045880,001502: 00,2027 54135 TS MPTEMP
045881,001503:
045882,001504: 00,2030 10020 CCS CYR # SEE IF A ROUND IS DESIRED.
045883,001505: 00,2031 02050 RIGHTR TC MPACSRND # YES - SHIFT RIGHT AND ROUND.
045884,001506: 00,2032 16072 TCF NEWMODE # SET MODE TO DP (C(A) = 0).
045885,001507: 00,2033 30135 MPACSHR CA MPTEMP # DO A TRIPLE PRECISION SHIFT RIGHT.
045886,001508: 00,2034 00006 EXTEND
045887,001509: 00,2035 70156 MP MPAC +2
045888,001510: 00,2036 54156 +3 TS MPAC +2 # (EXIT FROM SQRT AND ABVAL).
045889,001511: 00,2037 30135 CA MPTEMP
045890,001512: 00,2040 00006 EXTEND
045891,001513: 00,2041 70154 MP MPAC # SHIFT MAJOR PART INTO A,L AND PLACE IN
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|
Page 1039 |
045893,001515: 00,2042 52155 DXCH MPAC # MPAC,+1.
045894,001516: 00,2043 30135 CA MPTEMP
045895,001517: 00,2044 00006 EXTEND
045896,001518: 00,2045 70001 MP L # ORIGINAL C(MPAC +1).
045897,001519: 00,2046 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW.
045898,001520: 00,2047 16073 TCF DANZIG
045899,001521:
045900,001522: # MPAC SHIFT RIGHT AND ROUND SUBROUTINES.
045901,001523:
045902,001524: 00,2050 30156 MPACSRND CA MPAC +2 # WE HAVE TO DO ALL THREE MULTIPLIES SINCE
045903,001525: 00,2051 00006 EXTEND # MPAC +1 AND MPAC +2 MIGHT HAVE SIGN
045904,001526: 00,2052 70135 MP MPTEMP # DISAGREEMENT WITH A SHIFT RIGHT OF 1.
045905,001527: 00,2053 56155 XCH MPAC +1
045906,001528: 00,2054 00006 EXTEND
045907,001529: 00,2055 70135 MP MPTEMP
045908,001530: 00,2056 56155 XCH MPAC +1 # TRIAL MINOR PART.
045909,001531: 00,2057 60001 AD L
045910,001532:
045911,001533: 00,2060 60000 VSHR2 DOUBLE # (FINISH VECTOR COMPONENT SHIFT RIGHT
045912,001534: 00,2061 54156 TS MPAC +2 # AND ROUND.
045913,001535: 00,2062 12064 TCF +2
045914,001536: 00,2063 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW.
045915,001537:
045916,001538: 00,2064 34755 CAF ZERO
045917,001539: 00,2065 54156 TS MPAC +2
045918,001540: 00,2066 56154 XCH MPAC # SETTING TO ZERO SO FOLLOWING DAS WORKS.
045919,001541: 00,2067 00006 EXTEND
045920,001542: 00,2070 70135 MP MPTEMP
045921,001543: 00,2071 20155 DAS MPAC # AGAIN NO OVERFLOW.
045922,001544: 00,2072 00002 TC Q
045923,001545:
045924,001546: 00,2073 30135 VSHRRND CA MPTEMP # ENTRY TO SHIFT RIGHT AND ROUND MPAC WHEN
045925,001547: 00,2074 00006 EXTEND # MPAC CONTAINS A VECTOR COMPONENT.
045926,001548: 00,2075 70155 MP MPAC +1
045927,001549: 00,2076 54155 TS MPAC +1
045928,001550: 00,2077 56001 XCH L
045929,001551: 00,2100 12060 TCF VSHR2 # GO ADD ONE IF NECESSARY AND FINISH.
045930,001552:
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Page 1040 |
045932,001554: # ROUTINE FOR SHORT SCALAR SHIFT LEFT (AND MAYBE ROUND).
045933,001555:
045934,001556: 00,2101 30021 TSSL CA SR # GET SHIFT COUNT FOR SR.
045935,001557: 00,2102 54135 +1 TS MPTEMP
045936,001558:
045937,001559: 00,2103 00006 +2 EXTEND # ENTRY HERE FROM SL FOR SCALARS.
045938,001560: 00,2104 30156 DCA MPAC +1 # SHIFTING LEFT ONE PLACE AT A TIME IS
045939,001561: 00,2105 20156 DAS MPAC +1 # FASTER THAN DOING THE WHOLE SHIFT WITH
045940,001562: 00,2106 60154 AD MPAC # MULTIPLIES ASSUMING THAT FREQUENCY OF
045941,001563: 00,2107 60154 AD MPAC # SHIFT COUNTS GOES DOWN RAPIDLY AS A
045942,001564: 00,2110 54154 TS MPAC # FUNCTION OF THEIR MAGNITUDE.
045943,001565: 00,2111 12113 TCF +2
045944,001566: 00,2112 54121 TS OVFIND # OVERFLOW. (LEAVES OVERFLOW-CORRECTED
045945,001567: # RESULT ANYWAY).
045946,001568: 00,2113 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNT.
045947,001569: 00,2114 12102 TCF TSSL +1
045948,001570:
045949,001571: 00,2115 10020 CCS CYR # SEE IF ROUND WANTED.
045950,001572: 00,2116 07150 ROUND TC ROUNDSUB # YES - ROUND AND EXIT.
045951,001573: 00,2117 16073 TCF DANZIG # SL LEAVES A ZERO IN CYR FOR NO ROUND.
045952,001574: 00,2120 16073 TCF DANZIG # NO - EXIT IMMEDIATL
045953,001575:
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Page 1041 |
045955,001577: # VECTOR SHIFTING ROUTINES.
045956,001578:
045957,001579: 00,2121 34757 SHORTV CAF LOW3 # SAVE 3 BIT SHIFT COUNT - 1 WITHOUT
045958,001580: 00,2122 70020 MASK CYR # EDITING CYR.
045959,001581: 00,2123 54135 TS MPTEMP
045960,001582: 00,2124 10020 CCS CYR # SEE IF LEFT OR RIGHT SHIFT.
045961,001583: 00,2125 12145 TCF VSSL # VECTOR SHIFT LEFT.
045962,001584: 00,2126 00176 OCT176 OCT 176 # USED IN PROCESSED SHIFTS WITH - COUNT.
045963,001585:
045964,001586: 00,2127 50135 VSSR INDEX MPTEMP # (ENTRY FROM SR). PICK UP SHIFTING BIT.
045965,001587: 00,2130 34736 CAF BIT14 # MPTEMP CONTAINS THE SHIFT COUNT - 1.
045966,001588: 00,2131 54135 TS MPTEMP
045967,001589: 00,2132 02073 TC VSHRRND # SHIFT X COMPONENT.
045968,001590:
045969,001591: 00,2133 52155 DXCH MPAC # SWAP X AND Y COMPONENTS.
045970,001592: 00,2134 52160 DXCH MPAC +3
045971,001593: 00,2135 52155 DXCH MPAC
045972,001594: 00,2136 02073 TC VSHRRND # SHIFT Y COMPONENT.
045973,001595:
045974,001596: 00,2137 52155 DXCH MPAC # SWAP Y AND Z COMPONENTS.
045975,001597: 00,2140 52162 DXCH MPAC +5
045976,001598: 00,2141 52155 DXCH MPAC
045977,001599: 00,2142 02073 TC VSHRRND # SHIFT Z COMPONENT.
045978,001600:
045979,001601: 00,2143 17432 TCF VROTATEX # RESTORE COMPONENTS TO PROPER PLACES.
045980,001602:
|
|
Page 1042 |
045982,001604: # VECTOR SHIFT LEFT - DONE ONE PLACE AT A TIME.
045983,001605:
045984,001606: 00,2144 54135 -1 TS MPTEMP # SHIFTING LOOP.
045985,001607:
045986,001608: 00,2145 00006 VSSL EXTEND
045987,001609: 00,2146 30155 DCA MPAC
045988,001610: 00,2147 20155 DAS MPAC
045989,001611: 00,2150 00006 EXTEND
045990,001612: 00,2151 12153 BZF +2
045991,001613: 00,2152 07031 TC OVERFLOW
045992,001614:
045993,001615: 00,2153 00006 EXTEND
045994,001616: 00,2154 30160 DCA MPAC +3
045995,001617: 00,2155 20160 DAS MPAC +3
045996,001618: 00,2156 00006 EXTEND
045997,001619: 00,2157 12161 BZF +2
045998,001620: 00,2160 07026 TC OVERFLWY
045999,001621:
046000,001622: 00,2161 00006 EXTEND
046001,001623: 00,2162 30162 DCA MPAC +5
046002,001624: 00,2163 20162 DAS MPAC +5
046003,001625: 00,2164 00006 EXTEND
046004,001626: 00,2165 12167 BZF +2
046005,001627: 00,2166 07023 TC OVERFLWZ
046006,001628:
046007,001629: 00,2167 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNTER.
046008,001630: 00,2170 12144 TCF VSSL -1
046009,001631: 00,2171 16073 TCF DANZIG # EXIT.
046010,001632:
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|
Page 1043 |
046012,001634: # TSLC - TRIPLE SHIFT LEFT AND COUNT. SHIFTS MPAC LEFT UNTIL GREATER THAN .5 IN MAGNITUDE, LEAVING
046013,001635: # THE COMPLEMENT OF THE NUMBER OF SHIFTS REQUIRED IN X.
046014,001636:
046015,001637: 00,2172 54135 TSLC2 TS MPTEMP # START BY ZEROING SHIFT COUNT (IN A NOW).
046016,001638: 00,2173 06735 TC BRANCH # EXIT WITH NO SHIFTING IF ARGUMENT ZERO.
046017,001639: 00,2174 12176 TCF +2
046018,001640: 00,2175 12212 TCF ENDTSLC # STORES ZERO SHIFT COUNT IN THIS CASE.
046019,001641:
046020,001642: 00,2176 07271 TC TPAGREE # MAY CAUSE UPSHIFT OF ONE EXTRA PLACE.
046021,001643:
046022,001644: 00,2177 30154 CA MPAC # BEGIN NORMALIZATION LOOP.
046023,001645: 00,2200 12207 TCF TSLCTEST
046024,001646:
046025,001647: 00,2201 24135 TSLCLOOP INCR MPTEMP # INCREMENT SHIFT COUNTER.
046026,001648: 00,2202 00006 EXTEND
046027,001649: 00,2203 30156 DCA MPAC +1
046028,001650: 00,2204 20156 DAS MPAC +1
046029,001651: 00,2205 60154 AD MPAC
046030,001652: 00,2206 26154 ADS MPAC
046031,001653: 00,2207 60000 TSLCTEST DOUBLE # SEE IF (ANOTHER) SHIFT IS REQUIRED.
046032,001654: 00,2210 54000 OVSK
046033,001655: 00,2211 12201 TCF TSLCLOOP # YES - INCREMENT COUNT AND SHIFT AGAIN.
046034,001656:
046035,001657: 00,2212 40135 ENDTSLC CS MPTEMP
046036,001658: 00,2213 16635 TCF STORE1 # STORE SHIFT COUNT AND RETURN TO DANZIG.
046037,001659:
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|
Page 1044 |
046039,001661: # THE FOLLOWING ROUTINES PROCESSES THE GENERAL SHIFT INSTRUCTIONS SR, SRR, SL, AND SLR.
046040,001662: # THE GIVEN ADDRESS IS DECODED AS FOLLOWS:
046041,001663:
046042,001664: # BITS 1-7 SHIFT COUNT (SUBADDRESS) LESS THAN 125 DECIMAL.
046043,001665: # BIT 8 PSEUDO SIGN BIT (DETECTS CHANGE IN SIGN IN INDEXED SHIFTS).
046044,001666: # BIT 9 0 FOR LEFT SHIFT, AND 1 FOR RIGHT SHIFT.
046045,001667: # BIT 10 1 FOR TERMINAL ROUND ON SCALAR SHIFTS, 0 OTHERWISE.
046046,001668: # BITS 11-13 0.
046047,001669: # BIT 14 1.
046048,001670: # BIT 15 0.
046049,001671:
046050,001672: # THE ABOVE ENCODING IS DONE BY THE YUL SYSTEM.
046051,001673:
046052,001674:
046053,001675: 00,2214 70116 GENSHIFT MASK ADDRWD # GET SHIFT COUNT, TESTING FOR ZERO.
046054,001676: 00,2215 10000 CCS A # (ARRIVES WITH C(A) = LOW7).
046055,001677: 00,2216 12224 TCF GENSHFT2 # IF NON-ZERO, PROCEED WITH DECREMENTED CT
046056,001678:
046057,001679: 00,2217 34742 CAF BIT10 # ZERO SHIFT COUNT. NO SHIFTS NEEDED BUT
046058,001680: 00,2220 70116 MASK ADDRWD # WE MIGHT HAVE TO ROUND MPAC ON SLR AND
046059,001681: 00,2221 10000 CCS A # SRR (SCALAR ONLY).
046060,001682: 00,2222 07150 TC ROUNDSUB
046061,001683: 00,2223 16073 TCF DANZIG
046062,001684:
046063,001685: 00,2224 54135 GENSHFT2 TS MPTEMP # DECREMENTED SHIFT COUNT TO MPTEMP.
046064,001686: 00,2225 34744 CAF BIT8 # TEST MEANING OF LOW SEVEN BIT COUNT IN
046065,001687: 00,2226 00006 EXTEND # MPTEMP NOW.
046066,001688: 00,2227 70116 MP ADDRWD
046067,001689: 00,2230 76257 MASK LOW2 # JUMPS ON SHIFT DIRECTION (BIT8) AND
046068,001690: 00,2231 50000 INDEX A
046069,001691: 00,2232 12233 TCF +1 # ORIGINAL SHIFT DIRECTION (BIT 9).
046070,001692: 00,2233 12332 TCF RIGHT- # NEGATIVE SHIFT COUNT FOR SL OR SLR.
046071,001693: 00,2234 12342 TCF LEFT # SL OR SLR.
046072,001694: 00,2235 12336 TCF LEFT- # NEGATIVE SHIFT COUNT WITH SR OR SRR.
046073,001695:
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|
Page 1045 |
046075,001697: # GENERAL SHIFT RIGHT.
046076,001698:
046077,001699: 00,2236 10163 RIGHT CCS MODE # SEE IF VECTOR OR SCALAR.
046078,001700: 00,2237 12277 TCF GENSCR
046079,001701: 00,2240 12277 TCF GENSCR
046080,001702:
046081,001703: 00,2241 30135 CA MPTEMP # SEE IF SHIFT COUNT LESS THAN 14D.
046082,001704: 00,2242 63733 VRIGHT2 AD NEG12
046083,001705: 00,2243 00006 EXTEND
046084,001706: 00,2244 62127 BZMF VSSR # IF SO, BRANCH AND SHIFT IMMEDIATELY.
046085,001707:
046086,001708: 00,2245 67761 AD NEGONE # IF NOT, REDUCE MPTEMP BY A TOTAL OF 14,
046087,001709: 00,2246 54135 TS MPTEMP # AND DO A SHIFT RIGHT AND ROUND BY 14.
046088,001710: 00,2247 34755 CAF ZERO # THE ROUND AT THIS STAGE MAY INTRODUCE A
046089,001711: 00,2250 54001 TS L # ONE BIT ERROR IN A SHIFT RIGHT 15D.
046090,001712: 00,2251 56154 XCH MPAC
046091,001713: 00,2252 56155 XCH MPAC +1
046092,001714: 00,2253 02272 TC SETROUND # X COMPONENT NOW SHIFTED, SO MAKE UP THE
046093,001715: 00,2254 20155 DAS MPAC # ROUNDING QUANTITY (0 IN A AND 0 OR +-1
046094,001716: # IN L).
046095,001717: 00,2255 56157 XCH MPAC +3 # REPEAT THE ABOVE PROCESS FOR Y AND Z.
046096,001718: 00,2256 56160 XCH MPAC +4
046097,001719: 00,2257 02272 TC SETROUND
046098,001720: 00,2260 20160 DAS MPAC +3 # NO OVERFLOW ON THESE ADDS.
046099,001721:
046100,001722: 00,2261 56161 XCH MPAC +5
046101,001723: 00,2262 56162 XCH MPAC +6
046102,001724: 00,2263 02272 TC SETROUND
046103,001725: 00,2264 20162 DAS MPAC +5
046104,001726:
046105,001727: 00,2265 10135 CCS MPTEMP # SEE IF DONE, DOING FINAL DECREMENT.
046106,001728: 00,2266 54135 TS MPTEMP
046107,001729: 00,2267 12242 TCF VRIGHT2
046108,001730: 00,2270 04604 BIASLO DEC .2974 B-1 # SQRT CONSTANT
046109,001731:
046110,001732: 00,2271 16073 TCF DANZIG
046111,001733:
046112,001734: 00,2272 60000 SETROUND DOUBLE # MAKES UP ROUNDING QUANTITY FROM ARRIVING
046113,001735: 00,2273 54156 TS MPAC +2 # C(A). L IS ZERO INITIALLY.
046114,001736: 00,2274 34755 CAF ZERO
046115,001737: 00,2275 56001 XCH L
046116,001738: 00,2276 00002 TC Q # RETURN AND DO THE DAS, RESETTING L TO 0.
046117,001739:
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|
Page 1046 |
046119,001741: # PROCESS SR AND SRR FOR SCALARS.
046120,001742:
046121,001743: 00,2277 30135 GENSCR CA MPTEMP # SEE IF THE ORIGINAL SHIFT COUNT WAS LESS
046122,001744: 00,2300 63733 +1 AD NEG12 # THAN 14D.
046123,001745: 00,2301 00006 EXTEND
046124,001746: 00,2302 62322 BZMF DOSSHFT # DO THE SHIFT IMMEDIATELY IF SO.
046125,001747:
046126,001748: 00,2303 67761 +4 AD NEGONE # IF NOT, DECREMENT SHIFT COUNT BY 14D AND
046127,001749: 00,2304 54135 TS MPTEMP # SHIFT MPAC RIGHT 14 PLACES.
046128,001750: 00,2305 34755 CAF ZERO
046129,001751: 00,2306 56154 XCH MPAC
046130,001752: 00,2307 56155 XCH MPAC +1
046131,001753: 00,2310 54156 TS MPAC +2
046132,001754: 00,2311 10135 CCS MPTEMP # SEE IF FINISHED, DO FINAL DECREMENT.
046133,001755: 00,2312 54135 TS MPTEMP
046134,001756: 00,2313 02300 TC GENSCR +1
046135,001757: 00,2314 22650 SLOPEHI DEC .5884 # SQRT CONSTANT.
046136,001758: 00,2315 34742 CAF BIT10 # FINISHED WITH SHIFT. SEE IF ROUND
046137,001759: 00,2316 70116 MASK ADDRWD # WANTED.
046138,001760: 00,2317 10000 CCS A
046139,001761: 00,2320 07150 TC ROUNDSUB
046140,001762: 00,2321 16073 TCF DANZIG # DO SO AND/OR EXIT.
046141,001763:
046142,001764: 00,2322 50135 DOSSHFT INDEX MPTEMP # PICK UP SHIFTING BIT.
046143,001765: 00,2323 34736 CAF BIT14
046144,001766: 00,2324 54135 TS MPTEMP
046145,001767: 00,2325 34742 CAF BIT10 # SEE IF TERMINAL ROUND DESIRED.
046146,001768: 00,2326 70116 MASK ADDRWD
046147,001769: 00,2327 10000 CCS A
046148,001770: 00,2330 12031 TCF RIGHTR # YES.
046149,001771: 00,2331 12033 TCF MPACSHR # JUST SHIFT RIGHT.
046150,001772:
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|
Page 1047 |
046152,001774: # PROCESS THE RIGHT- (SL(R) WITH A NEGATIVE COUNT), LEFT-, AND LEFT OPTIONS.
046153,001775:
046154,001776: 00,2332 40135 RIGHT- CS MPTEMP # GET ABSOLUTE VALUE - 1 OF SHIFT COUNT
046155,001777: 00,2333 62126 AD OCT176 # UNDERSTANDING THAT BIT8 (PSEUDO-SIGN)
046156,001778: 00,2334 54135 TS MPTEMP # WAS 1 INITIALLY.
046157,001779: 00,2335 12236 TCF RIGHT # DO NORMAL SHIFT RIGHT.
046158,001780:
046159,001781: 00,2336 42126 LEFT- CS OCT176 # SAME PROLOGUE TO LEFT FOR INDEXED RIGHT
046160,001782: 00,2337 60135 AD MPTEMP # SHIFTS WHOSE NET SHIFT COUNT IS NEGATIVE
046161,001783: 00,2340 40000 COM
046162,001784: 00,2341 54135 TS MPTEMP
046163,001785:
046164,001786: 00,2342 10163 LEFT CCS MODE # SINCE LEFT SHIFTING IS SONE ONE PLACE AT
046165,001787: 00,2343 12346 TCF GENSCL # A TIME, NO COMPARISON WITH 14 NEED BE
046166,001788: 00,2344 12346 TCF GENSCL # DONE. FOR SCALARS, SEE IF TERMINAL ROUND
046167,001789: 00,2345 12145 TCF VSSL # DESIRED. FOR VECTORS, SHIFT IMMEDIATELY.
046168,001790:
046169,001791: 00,2346 40116 GENSCL CS ADDRWD # PUT ROUNDING BIT (BIT 10 OF ADDRWD)INTO
046170,001792: 00,2347 00006 EXTEND # BIT 15 OF CYR WHERE THE ROUNDING BIT OF
046171,001793: 00,2350 74746 MP BIT6 # A SHORT SHIFT LEFT WOULD BE
046172,001794: 00,2351 54020 TS CYR
046173,001795: 00,2352 12103 TCF TSSL +2 # DO THE SHIFT.
046174,001796:
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Page 1048 |
046176,001798: # SCALAR DIVISION INSTRUCTIONS, DDV AND BDDV, ARE EXECUTED HERE. AT THIS POINT, THE DIVIDEND IS IN MPAC
046177,001799: # AND THE DIVISOR IN BUF.
046178,001800:
046179,001801: 00,2353 44753 DDV/BDDV CS ONE # INITIALIZATION.
046180,001802: 00,2354 54136 TS DVSIGN # +-1 FOR POSITIVE QUOTIENT - -0 FOR NEG.
046181,001803: 00,2355 54137 TS DVNORMCT # DIVIDEND NORMALIZATION COUNT.
046182,001804: 00,2356 54140 TS MAXDVSW # NEAR-ONE DIVIDE FLAG.
046183,001805:
046184,001806: 00,2357 10130 CCS BUF # FORCE BUF POSITIVE WITH THE MAJOR PART
046185,001807: 00,2360 12516 TCF BUFPOS # NON-ZERO.
046186,001808: 00,2361 12363 TCF +2
046187,001809: 00,2362 12531 TCF BUFNEG
046188,001810:
046189,001811: 00,2363 54156 BUFZERO TS MPAC +2 # ZERO THIS.
046190,001812: 00,2364 07271 TC TPAGREE # FORCE SIGN AGREEMENT BEFORE OVERFLOW
046191,001813:
046192,001814: 00,2365 10154 CCS MPAC # TEST TO SEE IF MPAC NON-ZERO. (TOO BIG)
046193,001815: 00,2366 12414 TCF OVF+ # MAJOR PART OF DIVIDEND IS POSITIVE NON-0
046194,001816: 00,2367 12371 TCF +2
046195,001817: 00,2370 12413 TCF OVF+ -1 # MAJOR PART OF DIVIDEND IS NEG. NON-ZERO
046196,001818:
046197,001819: 00,2371 56131 XCH BUF +1 # SHIFT DIVIDEND AND DIVISOR LEFT 14.
046198,001820: 00,2372 56130 XCH BUF
046199,001821: 00,2373 56155 XCH MPAC +1
046200,001822: 00,2374 56154 XCH MPAC
046201,001823: 00,2375 10130 CCS BUF # TRY AGAIN ON FORMER MINOR PART.
046202,001824: 00,2376 12422 TCF BUF+
046203,001825: 00,2377 12401 TCF +2 # OVERFLOW ON ZERO DIVISOR.
046204,001826: 00,2400 12416 TCF BUF-
046205,001827:
046206,001828: 00,2401 40154 CS MPAC # SIGN OF MPAC DETERMINES SIGN OF RESULT.
046207,001829: 00,2402 00006 SGNDVOVF EXTEND
046208,001830: 00,2403 62405 BZMF +2
046209,001831: 00,2404 24136 INCR DVSIGN # NEGMAX IN MPAC PERHAPS.
046210,001832: 00,2405 34733 DVOVF CAF POSMAX # ON DIVISION OVERFLOW OF ANY SORT, SET
046211,001833: 00,2406 54154 TS MPAC # SET DP MPAC TO +-POSMAX.
046212,001834: 00,2407 02630 TC FINALDV +3
046213,001835: 00,2410 34753 CAF ONE # SET OVERFLOW INDICATOR AND EXIT.
046214,001836: 00,2411 54121 TS OVFIND
046215,001837: 00,2412 06073 TC DANZIG
046216,001838:
046217,001839: 00,2413 24136 -1 INCR DVSIGN
046218,001840: 00,2414 40131 OVF+ CS BUF +1 # LOAD LOWER ORDER PART OF DIVISOR.
046219,001841: 00,2415 12402 TCF SGNDVOVF # GET SIGN OF RESULT.
046220,001842:
046221,001843: 00,2416 00006 BUF- EXTEND # IF BUF IS NEGATIVE, COMPLEMENT IT AND
046222,001844: 00,2417 40131 DCS BUF # MAINTAIN DVSIGN FOR FINAL QUOTIENT SIGN.
046223,001845: 00,2420 52131 DXCH BUF
046224,001846: 00,2421 24136 INCR DVSIGN # NOW -0.
046225,001847:
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|
Page 1049 |
046227,001849: 00,2422 10154 BUF+ CCS MPAC # FORCE MPAC POSITIVE, CHECKING FOR ZERO
046228,001850: 00,2423 12437 TCF MPAC+ # DIVIDEND IN THE PROCESS.
046229,001851: 00,2424 12426 TCF +2
046230,001852: 00,2425 12433 TCF MPAC-
046231,001853: 00,2426 10155 CCS MPAC +1
046232,001854: 00,2427 12437 TCF MPAC+
046233,001855: 00,2430 16073 TCF DANZIG # EXIT IMMEDIATELY ON ZERO DIVIDEND.
046234,001856: 00,2431 12433 TCF MPAC-
046235,001857: 00,2432 16073 TCF DANZIG
046236,001858:
046237,001859: 00,2433 00006 MPAC- EXTEND # FORCE MPAC POSITIVE AS BUF IN BUF-.
046238,001860: 00,2434 40155 DCS MPAC
046239,001861: 00,2435 52155 DXCH MPAC
046240,001862: 00,2436 24136 INCR DVSIGN # NOW +1 OR -0.
046241,001863:
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|
Page 1050 |
046243,001865: 00,2437 40154 MPAC+ CS MPAC # CHECK FOR DIVISION OVERFLOW. IF THE
046244,001866: 00,2440 67761 AD NEGONE # MAJOR PART OF THE DIVIDEND IS LESS THAN
046245,001867: 00,2441 60130 AD BUF # THE MAJOR PART OF THE DIVISOR BY AT
046246,001868: 00,2442 10000 CCS A # LEAST TWO, WE CAN PROCEED IMMEDIATELY
046247,001869: 00,2443 12505 TCF DVNORM # WITHOUT NORMALIZATION PRODUCING A DVMAX.
046248,001870: 00,2444 60001 -1/2+2 OCT 60001 # USED IN SQRTSUB.
046249,001871:
046250,001872: 00,2445 12446 TCF +1 # IF THE ABOVE DOES NOT HOLD, FORCE SIGN
046251,001873: 00,2446 34736 CAF HALF # AGREEMENT IN NUMERATOR AND DENOMINATOR
046252,001874: 00,2447 60000 DOUBLE # TO FACILITATE OVERFLOW AND NEAR-ONE
046253,001875: 00,2450 60155 AD MPAC +1 # CHECKING.
046254,001876: 00,2451 54155 TS MPAC +1
046255,001877: 00,2452 34755 CAF ZERO
046256,001878: 00,2453 64733 AD POSMAX
046257,001879: 00,2454 26154 ADS MPAC
046258,001880:
046259,001881: 00,2455 34736 CAF HALF # SAME FOR BUF.
046260,001882: 00,2456 60000 DOUBLE
046261,001883: 00,2457 60131 AD BUF +1
046262,001884: 00,2460 54131 TS BUF +1
046263,001885: 00,2461 34755 CAF ZERO
046264,001886: 00,2462 64733 AD POSMAX
046265,001887: 00,2463 26130 ADS BUF
046266,001888:
046267,001889: 00,2464 40154 CS MPAC # CHECK MAGNITUDE OF SIGN-CORRECTED
046268,001890: 00,2465 60130 AD BUF # OPERANDS.
046269,001891: 00,2466 10000 CCS A
046270,001892: 00,2467 12505 TCF DVNORM # DIVIDE OK - WILL NOT BECOME MAXDV CASE.
046271,001893: 00,2470 00133 LBUF2 ADRES BUF2
046272,001894: 00,2471 12405 TCF DVOVF # DIVISOR NOT LESS THAN DIVIDEND - OVF.
046273,001895:
046274,001896: 00,2472 54140 TS MAXDVSW # IF THE MAJOR PARTS OF THE DIVIDEND AND
046275,001897: 00,2473 40155 CS MPAC +1 # DIVISOR ARE EQUAL, A SPECIAL APPROXIMA-
046276,001898: 00,2474 60131 AD BUF +1 # TION IS USED (PROVIDED THE DIVISION IS
046277,001899: 00,2475 00006 EXTEND # POSSIBLE, OF COURSE).
046278,001900: 00,2476 62405 BZMF DVOVF
046279,001901: 00,2477 12505 TCF DVNORM # IF NO OVERFLOW.
046280,001902:
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Page 1051 |
046282,001904: 00,2500 00006 BUFNORM EXTEND # ADD -1 TO AUGMENT SHIFT COUNT AND SHIFT
046283,001905: 00,2501 24137 AUG DVNORMCT # LEFT ONE PLACE.
046284,001906: 00,2502 00006 EXTEND
046285,001907: 00,2503 30131 DCA BUF
046286,001908: 00,2504 20131 DAS BUF
046287,001909:
046288,001910: 00,2505 30130 DVNORM CA BUF # SEE IF DIVISOR NORMALIZED YET.
046289,001911: 00,2506 60000 DOUBLE
046290,001912: 00,2507 54000 OVSK
046291,001913: 00,2510 12500 TCF BUFNORM # NO - SHIFT LEFT ONE AND TRY AGAIN.
046292,001914:
046293,001915: 00,2511 52155 DXCH MPAC # CALL DIVIDEND NORMALIZATION SEQUENCE
046294,001916: 00,2512 50137 INDEX DVNORMCT # PRIOR TO DOING THE DIVIDE.
046295,001917: 00,2513 02565 TC MAXTEST
046296,001918:
046297,001919: 00,2514 54156 TS MPAC +2 # RETURNS WITH DIVISION DONE AND C(A) = 0.
046298,001920: 00,2515 16073 TCF DANZIG
046299,001921:
046300,001922: 00,2516 10000 BUFPOS CCS A
046301,001923: 00,2517 12422 TCF BUF+ # TO BUF+ IF BUF IS GREATER THAN +1.
046302,001924:
046303,001925: 00,2520 40131 CS BUF +1 # IF BUF IS +1, FORCING SIGN AGREEMENT
046304,001926: 00,2521 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO.
046305,001927: 00,2522 62422 BZMF BUF+ # BRANCH IF SIGNS AGREE.
046306,001928:
046307,001929: 00,2523 34736 CA HALF # SIGNS DISAGREE. FORCE AGREEMENT.
046308,001930: 00,2524 60000 +6 DOUBLE
046309,001931: 00,2525 26131 ADS BUF +1
046310,001932: 00,2526 34755 CA ZERO
046311,001933: 00,2527 54130 TS BUF
046312,001934: 00,2530 12363 TCF BUFZERO
046313,001935:
046314,001936: 00,2531 10000 BUFNEG CCS A
046315,001937: 00,2532 12416 TCF BUF- # TO BUF- IF BUF IS LESS THAN -1.
046316,001938:
046317,001939: 00,2533 30131 CA BUF +1 # IF BUF IS -1, FORCING SIGN AGREEMENT
046318,001940: 00,2534 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO.
046319,001941: 00,2535 62416 BZMF BUF- # BRANCH IF SIGNS AGREE.
046320,001942:
046321,001943: 00,2536 44736 CS HALF # SIGNS DISAGREE. FORCE AGREEMENT.
046322,001944: 00,2537 12524 TCF BUFPOS +6
046323,001945:
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Page 1052 |
046325,001947: # THE FOLLOWING ARE PROLOGUES TO SHIFT THE DIVIDEND ARRIVING IN A AND L BEFORE THE DIVIDE.
046326,001948:
046327,001949: 00,2540 22021 -21D LXCH SR # SPECIAL PROLOGUE FOR UNIT WHEN THE
046328,001950: 00,2541 00006 EXTEND # LENGTH OF THE ARGUMENT WAS NOT LESS THAN
046329,001951: 00,2542 74736 MP HALF # .5. IN THIS CASE, EACH COMPONENT MUST BE
046330,001952: 00,2543 56001 XCH L # SHIFTED RIGHT ONE TO PRODUCE A HALF-UNIT
046331,001953: 00,2544 60021 AD SR # VECTOR.
046332,001954: 00,2545 56001 XCH L
046333,001955: 00,2546 12571 TCF GENDDV +1 # WITH DP DIVIDEND IN A,L.
046334,001956:
046335,001957: 00,2547 20001 DDOUBL # PROLOGUE WHICH NORMALIZES THE DIVIDEND
046336,001958: 00,2550 20001 DDOUBL # WHEN IT IS KNOWN THAT NO DIVISION
046337,001959: 00,2551 20001 DDOUBL # OVERFLOW WILL OCCUR.
046338,001960: 00,2552 20001 DDOUBL
046339,001961: 00,2553 20001 DDOUBL
046340,001962: 00,2554 20001 DDOUBL
046341,001963: 00,2555 20001 DDOUBL
046342,001964: 00,2556 20001 DDOUBL
046343,001965: 00,2557 20001 DDOUBL
046344,001966: 00,2560 20001 DDOUBL
046345,001967: 00,2561 20001 DDOUBL
046346,001968: 00,2562 20001 DDOUBL
046347,001969: 00,2563 20001 DDOUBL
046348,001970: 00,2564 52155 DXCH MPAC
046349,001971:
046350,001972: 00,2565 10140 MAXTEST CCS MAXDVSW # 0 IF MAJORS MIGHT BE =, -1 OTHERWISE.
046351,001973: 00,2566 06552 BIASHI DEC .4192 B-1 # SQRT CONSTANTS
046352,001974:
046353,001975: 00,2567 12642 TCF MAXDV # CHECK TO SEE IF THEY ARE NOW EQUAL.
046354,001976:
|
|
Page 1053 |
046356,001978: # THE FOLLOWING IS A GENERAL PURPOSE DOUBLE PRECISION DIVISION ROUTINE. IT DIVIDES MPAC BY BUF AND LEAVES
046357,001979: # THE RESULT IN MPAC. THE FOLLOWING CONDITIONS MUST BE SATISFIED:
046358,001980:
046359,001981: # 1. THE DIVISOR (BUF) MUST BE POSITIVE AND NOT LESS THAN .5.
046360,001982:
046361,001983: # 2. THE DIVIDEND (MPAC) MUST BE POSITIVE WITH THE MAJOR PART OF MPAC STRICTLY LESS THAN THAT OF BUF
046362,001984: # (A SPECIAL APPROXIMATION, MAXDV, IS USED WHEN THE MAJOR PARTS ARE EQUAL).
046363,001985:
046364,001986: # UNDERSTANDING THAT A/B = Q + S(R/B) WHERE S = 2(-14) AND Q AND R ARE QUOTIENT AND REMAINDER, RESPEC-
046365,001987: # TIVELY, THE FOLLOWING APPROXIMATION IS OBTAINED BY MULTIPLYING ABOVE AND BELOW BY C - SD AND NEGLECTING TERMS OF
046366,001988: # ORDER S-SQUARED (POSSIBLY INTRODUCING ERROR INTO THE LOW TWO BITS OF THE RESULT). SIGN AGREEMENT IS UNNECESSARY.
046367,001989:
046368,001990: # A + SB . (R - QD) A + SB
046369,001991: # ------ = Q + S(------) WHERE Q AND R ARE QUOTIENT AND REMAINDER OF ------ RESPECTIVELY.
046370,001992: # C + SD ( C ) C
046371,001993:
046372,001994:
046373,001995: 00,2570 52155 GENDDV DXCH MPAC # WE NEED A AND B ONLY FOR FIRST DV.
046374,001996: 00,2571 00006 +1 EXTEND # (SPECIAL UNIT PROLOGUE ENTERS HERE).
046375,001997: 00,2572 10130 DV BUF # A NOW CONTAINS Q AND L, R.
046376,001998: 00,2573 52155 DXCH MPAC
046377,001999:
046378,002000: 00,2574 40154 CS MPAC # FORM DIVIDEND FOR MINOR PART OF RESULT.
046379,002001: 00,2575 00006 EXTEND
046380,002002: 00,2576 70131 MP BUF +1
046381,002003: 00,2577 60155 AD MPAC +1 # OVERFLOW AT THIS POINT IS POSITIVE SINCE
046382,002004: 00,2600 54000 OVSK # R IS POSITIVE IN EVERY CASE.
046383,002005: 00,2601 12606 TCF +5
046384,002006:
046385,002007: 00,2602 00006 EXTEND # OVERFLOW CAN BE REMOVED BY SUBTRACTING C
046386,002008: 00,2603 60130 SU BUF # (BUF) ONCE SINCE R IS ALWAYS LESS THAN C
046387,002009: 00,2604 24154 INCR MPAC # IN THIS CASE. INCR COMPENSATES SUBTRACT.
046388,002010: 00,2605 12610 TCF +DOWN # (SINCE C(A) IS STILL POSITIVE).
046389,002011:
046390,002012: 00,2606 00006 +5 EXTEND # C(A) CAN BE MADE LESS THAN C IN MAGNI-
046391,002013: 00,2607 62620 BZMF -UP # TUDE BY DIMINISHING IT BY C (SINCE C IS
046392,002014: # NOT LESS THAN .5) UNLESS C(A) = 0.
046393,002015:
|
|
Page 1054 |
046395,002017: 00,2610 00006 +DOWN EXTEND
046396,002018: 00,2611 60130 SU BUF # IF POSITIVE, REDUCE ONLY IF NECESSARY
046397,002019: 00,2612 00006 EXTEND # SINCE THE COMPENSATING INCR MIGHT CAUSE
046398,002020: 00,2613 12616 BZF +3 # OVERFLOW.
046399,002021: 00,2614 00006 EXTEND # DONT SUBTRACT UNLESS RESULT IS POSITIVE
046400,002022: 00,2615 62624 BZMF ENDMAXDV # OR ZERO.
046401,002023:
046402,002024: 00,2616 24154 +3 INCR MPAC # KEEP SUBTRACT HERE AND COMPENSATE.
046403,002025: 00,2617 12625 TCF FINALDV
046404,002026:
046405,002027: 00,2620 00006 -UP EXTEND # IF ZERO, SET MINOR PART OF RESULT TO
046406,002028: 00,2621 12630 BZF FINALDV +3 # ZERO.
046407,002029:
046408,002030: 00,2622 00006 EXTEND # IF NEGATIVE, ADD C TO A, SUBTRACTING ONE
046409,002031: 00,2623 26154 DIM MPAC # TO COMPENSATE. DIM IS OK HERE SINCE THE
046410,002032: 00,2624 60130 ENDMAXDV AD BUF # MAJOR PART NEVER GOES NEGATIVE.
046411,002033:
|
|
Page 1055 |
046413,002035: 00,2625 22007 FINALDV ZL # DO DV TO OBTAIN MINOR PART OF RESULT.
046414,002036: 00,2626 00006 EXTEND
046415,002037: 00,2627 10130 DV BUF
046416,002038: 00,2630 54155 +3 TS MPAC +1
046417,002039:
046418,002040: 00,2631 10136 CCS DVSIGN # LEAVE RESULT POSITIVE UNLESS C(DVSIGN)=
046419,002041: 00,2632 00002 TC Q # -0.
046420,002042: 00,2633 00002 TC Q
046421,002043: 00,2634 00002 TC Q
046422,002044:
046423,002045: 00,2635 00006 EXTEND
046424,002046: 00,2636 40155 DCS MPAC
046425,002047: 00,2637 52155 DXCH MPAC
046426,002048: 00,2640 34755 CAF ZERO # SO WE ALWAYS RETURN WITH C(A) = 0.
046427,002049: 00,2641 00002 TC Q
046428,002050:
|
|
Page 1056 |
046430,002052: # IF THE MAJOR PARTS OF THE DIVISOR AND DIVIDEND ARE EQUAL, BUT THE MINOR PARTS ARE SUCH THAT THE
046431,002053: # DIVIDEND IS STRICTLY LESS THAN THE DIVISOR IN MAGNITUDE, THE FOLLOWING APPROXIMATION IS USED. THE ASSUMPTIONS
046432,002054: # ARE THE SAME AS THE GENERAL ROUTINE WITH THE ADDITION THAT SIGN AGREEMENT IS NECESSARY (B, C, & D POSITIVE).
046433,002055:
046434,002056: # C + SB . (C + B - D)
046435,002057: # ------ = 37777 + S(---------)
046436,002058: # C + SD ( C )
046437,002059:
046438,002060: # THE DIVISION MAY BE PERFORMED IMMEDIATELY SINCE B IS STRICTLY LESS THAN D AND C IS NOT LESS THAN .5.
046439,002061:
046440,002062: 00,2642 40154 MAXDV CS MPAC # SEE IF MAXDV CASE STILL HOLDS AFTER
046441,002063: 00,2643 60130 AD BUF # NORMALIZATION.
046442,002064: 00,2644 00006 EXTEND
046443,002065: 00,2645 12647 BZF +2
046444,002066: 00,2646 12570 TCF GENDDV # MPAC NOW LESS THAN BUF - DIVIDE AS USUAL
046445,002067:
046446,002068: 00,2647 34733 +2 CAF POSMAX # SET MAJOR PART OF RESULT.
046447,002069: 00,2650 54154 TS MPAC
046448,002070:
046449,002071: 00,2651 40131 CS BUF +1 # FORM DIVIDEND OF MINOR PART OF RESULT.
046450,002072: 00,2652 60155 AD MPAC +1
046451,002073: 00,2653 12624 TCF ENDMAXDV # GO ADD C AND DO DIVIDE, ATTACHING SIGN
046452,002074: # BEFORE EXITING.
046453,002075:
|
|
Page 1057 |
046455,002077: # VECTOR DIVIDED BY SCALAR, V/SC, IS EXECUTED HERE. THE VECTOR IS NOW IN MPAC WITH SCALAR IN BUF.
046456,002078:
046457,002079: 00,2654 44753 V/SC2 CS ONE # INITIALIZE DIVIDEND NORMALIZATION COUNT
046458,002080: 00,2655 54137 TS DVNORMCT # AND DIVISION SIGN REGISTER.
046459,002081: 00,2656 54127 TS VBUF +5
046460,002082:
046461,002083: 00,2657 03010 TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR
046462,002084:
046463,002085: 00,2660 52131 DXCH BUF
046464,002086: 00,2661 07556 TC ALSIGNAG # SIGN AGREE BUF
046465,002087: 00,2662 52131 DXCH BUF
046466,002088: 00,2663 10130 CCS BUF # FORCE DIVISOR POSITIVE WITH MAJOR PART
046467,002089: 00,2664 12721 TCF /BUF+ # NON-ZERO (IF POSSIBLE).
046468,002090: 00,2665 12667 TCF +2
046469,002091: 00,2666 12715 TCF /BUF-
046470,002092:
046471,002093: 00,2667 56131 XCH BUF +1 # SHIFT VECTOR AND SCALAR LEFT 14.
046472,002094: 00,2670 56130 XCH BUF
046473,002095: 00,2671 56155 XCH MPAC +1
046474,002096: 00,2672 56154 XCH MPAC
046475,002097: 00,2673 00006 EXTEND # CHECK FOR OVERFLOW IN EACH CASE.
046476,002098: 00,2674 12676 BZF +2
046477,002099: 00,2675 12405 TCF DVOVF
046478,002100:
046479,002101: 00,2676 56160 XCH MPAC +4
046480,002102: 00,2677 56157 XCH MPAC +3
046481,002103: 00,2700 00006 EXTEND
046482,002104: 00,2701 12703 BZF +2
046483,002105: 00,2702 12405 TCF DVOVF
046484,002106:
046485,002107: 00,2703 56162 XCH MPAC +6
046486,002108: 00,2704 56161 XCH MPAC +5
046487,002109: 00,2705 00006 EXTEND
046488,002110: 00,2706 12710 BZF +2
046489,002111: 00,2707 12405 TCF DVOVF
046490,002112:
046491,002113: 00,2710 10130 CCS BUF
046492,002114: 00,2711 12721 TCF /BUF+
046493,002115: 00,2712 12405 TCF DVOVF # ZERO DIVISOR - OVERFLOW.
046494,002116: 00,2713 12715 TCF /BUF-
046495,002117: 00,2714 12405 TCF DVOVF
046496,002118:
046497,002119: 00,2715 00006 /BUF- EXTEND # ON NEGATIVE, COMPLEMENT BUF AND MAINTAIN
046498,002120: 00,2716 40131 DCS BUF # DVSIGN IN VBUF +5.
046499,002121: 00,2717 52131 DXCH BUF
046500,002122: 00,2720 24127 INCR VBUF +5
046501,002123:
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|
Page 1058 |
046503,002125: 00,2721 00006 /BUF+ EXTEND
046504,002126: 00,2722 30131 DCA BUF # LEAVE ABS(ORIG DIVISOR) IN BUF2
046505,002127: 00,2723 52134 DXCH BUF2 # FOR OVERFLOW TESTING
046506,002128: 00,2724 12732 TCF /NORM # NORMALIZE DIVISOR IN BUF.
046507,002129:
046508,002130: 00,2725 00006 /NORM2 EXTEND # IF LESS THAN .5, AUGMENT DVNORMCT AND
046509,002131: 00,2726 24137 AUG DVNORMCT # DOUBLE DIVISOR.
046510,002132: 00,2727 00006 EXTEND
046511,002133: 00,2730 30131 DCA BUF
046512,002134: 00,2731 20131 DAS BUF
046513,002135:
046514,002136: 00,2732 30130 /NORM CA BUF # SEE IF DIVISOR NORMALIZED.
046515,002137: 00,2733 60000 DOUBLE
046516,002138: 00,2734 54000 OVSK
046517,002139: 00,2735 12725 TCF /NORM2 # DOUBLE AND TRY AGAIN IF NOT.
046518,002140:
046519,002141: 00,2736 02750 TC V/SCDV # DO X COMPONENT DIVIDE.
046520,002142: 00,2737 52160 DXCH MPAC +3 # SUPPLY ARGUMENTS IN USUAL SEQUENCE.
046521,002143: 00,2740 52155 DXCH MPAC
046522,002144: 00,2741 52160 DXCH MPAC +3
046523,002145:
046524,002146: 00,2742 02750 TC V/SCDV # Y COMPONENT.
046525,002147: 00,2743 52162 DXCH MPAC +5
046526,002148: 00,2744 52155 DXCH MPAC
046527,002149: 00,2745 52162 DXCH MPAC +5
046528,002150:
046529,002151: 00,2746 02750 TC V/SCDV # Z COMPONENT.
046530,002152: 00,2747 17432 TCF VROTATEX # GO RE-ARRANGE COMPONENTS BEFORE EXIT.
046531,002153:
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|
Page 1059 |
046533,002155: # SUBROUTINE USED BY V/SC TO DIVIDE VECTOR COMPONENT IN MPAC,+1 BY THE SCALAR GIVEN IN BUF.
046534,002156:
046535,002157: 00,2750 30127 V/SCDV CA VBUF +5 # REFLECTS SIGN OF SCALAR.
046536,002158: 00,2751 54136 TS DVSIGN
046537,002159:
046538,002160: 00,2752 10154 CCS MPAC # FORCE MPAC POSITIVE, EXITING ON ZERO.
046539,002161: 00,2753 12767 TCF /MPAC+
046540,002162: 00,2754 12756 TCF +2
046541,002163: 00,2755 12763 TCF /MPAC-
046542,002164:
046543,002165: 00,2756 10155 CCS MPAC +1
046544,002166: 00,2757 12767 TCF /MPAC+
046545,002167: 00,2760 00002 TC Q
046546,002168: 00,2761 12763 TCF /MPAC-
046547,002169: 00,2762 00002 TC Q
046548,002170:
046549,002171: 00,2763 00006 /MPAC- EXTEND # USUAL COMPLEMENTING AND SETTING OF SIGN.
046550,002172: 00,2764 40155 DCS MPAC
046551,002173: 00,2765 52155 DXCH MPAC
046552,002174: 00,2766 24136 INCR DVSIGN
046553,002175:
046554,002176: 00,2767 44753 /MPAC+ CS ONE # INITIALIZE NEAR-ONE SWITCH.
046555,002177: 00,2770 54140 TS MAXDVSW
046556,002178:
046557,002179: 00,2771 40154 CS MPAC # CHECK POSSIBLE OVERFLOW.
046558,002180: 00,2772 60133 AD BUF2 # UNNORMALIZED INPUT DIVISOR.
046559,002181: 00,2773 10000 CCS A
046560,002182: 00,2774 13004 TCF DDVCALL # NOT NEAR-ONE
046561,002183: 00,2775 12777 TCF +2 # +0 IS JUST POSSIBLE
046562,002184: 00,2776 12405 TCF DVOVF # NO HOPE
046563,002185: 00,2777 54140 TS MAXDVSW # SIGNAL POSSIBLE NEAR-ONE CASE
046564,002186: 00,3000 40155 CS MPAC +1 # SEE IF DIVISION CAN BE DONE
046565,002187: 00,3001 60134 AD BUF2 +1
046566,002188: 00,3002 00006 EXTEND
046567,002189: 00,3003 62405 BZMF DVOVF
046568,002190:
046569,002191: 00,3004 52155 DDVCALL DXCH MPAC # CALL PRE-DIVIDE NORMALIZATION.
046570,002192: 00,3005 50137 INDEX DVNORMCT
046571,002193: 00,3006 12565 TCF MAXTEST
046572,002194:
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|
Page 1060 |
046574,002196: 00,3007 32506 SLOPELO DEC .8324
046575,002197:
046576,002198: 00,3010 56002 VECAGREE XCH Q # SAVE Q IN A
046577,002199: 00,3011 52155 DXCH MPAC
046578,002200: 00,3012 07556 TC ALSIGNAG # SIGNAGREE MPAC
046579,002201: 00,3013 52155 DXCH MPAC
046580,002202: 00,3014 52160 DXCH MPAC +3
046581,002203: 00,3015 07556 TC ALSIGNAG # SIGN AGREE MPAC +3
046582,002204: 00,3016 52160 DXCH MPAC +3
046583,002205: 00,3017 52162 DXCH MPAC +5
046584,002206: 00,3020 07556 TC ALSIGNAG # SIGNAGREE MPAC +5
046585,002207: 00,3021 52162 DXCH MPAC +5
046586,002208: 00,3022 00000 TC A
046587,002209:
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|
Page 1061 |
046589,002211: # THE FOLLOWING ROUTINE EXECUTES THE UNIT INSTRUCTION, WHICH TAKES THE UNIT OF THE VECTOR IN MPAC.
046590,002212:
046591,002213: 00,3023 03010 UNIT TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR
046592,002214: 00,3024 07544 TC MPACVBUF # SAVE ARGUMENT IN VBUF
046593,002215: 00,3025 34755 CAF ZERO # MUST SENSE OVERFLOW IN FOLLOWING DOT.
046594,002216: 00,3026 56121 XCH OVFIND
046595,002217: 00,3027 54141 TS TEM1
046596,002218: 00,3030 03317 TC VSQSUB # DOT MPAC WITH ITSELF.
046597,002219: 00,3031 30141 CA TEM1
046598,002220: 00,3032 56121 XCH OVFIND
046599,002221: 00,3033 00006 EXTEND
046600,002222: 00,3034 13036 BZF +2
046601,002223: 00,3035 12405 TCF DVOVF
046602,002224: 00,3036 00006 EXTEND
046603,002225: 00,3037 30155 DCA MPAC # LEAVE THE SQUARE OF THE LENGTH OF THE
046604,002226: 00,3040 50120 INDEX FIXLOC # ARGUMENT IN LVSQUARE.
046605,002227: 00,3041 52043 DXCH LVSQUARE
046606,002228:
046607,002229: 00,3042 03343 TC SQRTSUB # GO TAKE THE NORMALIZED SQUARE ROOT.
046608,002230:
046609,002231: 00,3043 10154 CCS MPAC # CHECK FOR UNIT OVERFLOW.
046610,002232: 00,3044 13051 TCF +5 # MPAC IS NOT LESS THAN .5 UNLESS
046611,002233: 00,3045 54001 TS L
046612,002234: 00,3046 50120 INDEX FIXLOC
046613,002235: 00,3047 52045 DXCH LV
046614,002236: 00,3050 12405 TCF DVOVF # INPUT TO SQRTSUB WAS 0.
046615,002237:
046616,002238: 00,3051 44317 CS FOURTEEN # SEE IF THE INPUT WAS SO SMALL THE THE
046617,002239: 00,3052 60135 AD MPTEMP # FIRST TWO REGISTERS OF THE SQUARE WERE 0
046618,002240: 00,3053 10000 CCS A
046619,002241: 00,3054 40000 COM # IF SO, SAVE THE NEGATIVE OF THE SHIFT
046620,002242: 00,3055 13133 TCF SMALL # COUNT -15D.
046621,002243:
046622,002244: 00,3056 13065 TCF LARGE # (THIS IS USUALLY THE CASE.)
046623,002245:
046624,002246: 00,3057 44761 CS THIRTEEN # IF THE SHIFT COUNT WAS EXACTLY 14, SET
046625,002247: 00,3060 54135 TS MPTEMP # THE PRE-DIVIDE NORM COUNT TO -13D.
046626,002248:
046627,002249: 00,3061 30154 CA MPAC # SHIFT THE LENGTH RIGHT 14 BEFORE STORING
046628,002250: 00,3062 54001 SMALL2 TS L # (SMALL EXITS TO THIS POINT).
046629,002251: 00,3063 34755 CAF ZERO
046630,002252: 00,3064 13112 TCF LARGE2 # GO TO STORE LENGTH AND PROCEED.
046631,002253:
046632,002254: 00,3065 10135 LARGE CCS MPTEMP # MOST ALL CASES COME HERE.
046633,002255: 00,3066 13074 TCF LARGE3 # SEE IF NO NORMALIZATION WAS REQUIRED BY
046634,002256:
046635,002257: 00,3067 42024 CS SRDDV # SQRT, AND IF SO, SET UP FOR A SHIFT
046636,002258: 00,3070 54135 TS MPTEMP # RIGHT 1 BEFORE DIVIDING TO PRODUCE
046637,002259: 00,3071 00006 EXTEND # THE DESIRED HALF UNIT VECTOR.
046638,002260: 00,3072 30155 DCA MPAC
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|
Page 1062 |
046640,002262: 00,3073 13112 TCF LARGE2
046641,002263:
|
|
Page 1063 |
046643,002265: 00,3074 40000 LARGE3 COM # LEAVE NEGATIVE OF SHIFT COUNT-1 FOR
046644,002266: 00,3075 54135 TS MPTEMP # PREDIVIDE LEFT SHIFT.
046645,002267:
046646,002268: 00,3076 40000 COM # PICK UP REQUIRED SHIFTING BIT TO UNNORM-
046647,002269: 00,3077 50000 INDEX A # ALIZE THE SQRT RESULT.
046648,002270: 00,3100 34736 CAF BIT14
046649,002271: 00,3101 54130 TS BUF
046650,002272: 00,3102 00006 EXTEND
046651,002273: 00,3103 70155 MP MPAC +1
046652,002274: 00,3104 56130 XCH BUF
046653,002275: 00,3105 00006 EXTEND # (UNNORMALIZE THE SQRT FOR LV).
046654,002276: 00,3106 70154 MP MPAC
046655,002277: 00,3107 56001 XCH L
046656,002278: 00,3110 60130 AD BUF
046657,002279: 00,3111 56001 XCH L
046658,002280:
046659,002281: 00,3112 50120 LARGE2 INDEX FIXLOC
046660,002282: 00,3113 52045 DXCH LV # LENGTH NOW STORED IN WORK AREA.
046661,002283:
046662,002284: 00,3114 44753 CS ONE
046663,002285: 00,3115 54140 TS MAXDVSW # NO MAXDV CASES IN UNIT.
046664,002286:
046665,002287: 00,3116 52123 DXCH VBUF # PREPARE X COMPONENT FOR DIVIDE, SETTING
046666,002288: 00,3117 52155 DXCH MPAC # LENGTH OF VECTOR AS DIVISOR IN BUF.
046667,002289: 00,3120 52131 DXCH BUF
046668,002290: 00,3121 03151 TC UNITDV
046669,002291:
046670,002292: 00,3122 52125 DXCH VBUF +2 # DO Y AND Z IN USUAL FASHION SO WE CAN
046671,002293: 00,3123 52155 DXCH MPAC # EXIT THROUGH VROTATEX.
046672,002294: 00,3124 52160 DXCH MPAC +3
046673,002295: 00,3125 03151 TC UNITDV
046674,002296:
046675,002297: 00,3126 52127 DXCH VBUF +4
046676,002298: 00,3127 52155 DXCH MPAC
046677,002299: 00,3130 52162 DXCH MPAC +5
046678,002300: 00,3131 03151 TC UNITDV
046679,002301: 00,3132 17432 TCF VROTATEX # AND EXIT.
046680,002302:
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|
Page 1064 |
046682,002304: # IF THE LENGTH OF THE ARGUMENT VECTOR WAS LESS THAN 2(-28), EACH COMPONENT MUST BE SHIFTED LEFT AT LEAST
046683,002305: # 14 PLACES BEFORE THE DIVIDE. NOTE THAT IN THIS CASE, THE MAJOR PART OF EACH COMPONENT IS ZERO.
046684,002306:
046685,002307: 00,3133 54135 SMALL TS MPTEMP # NEGATIVE OF PRE-DIVIDE SHIFT COUNT.
046686,002308:
046687,002309: 00,3134 34755 CAF ZERO # SHIFT EACH COMPONENT LEFT 14.
046688,002310: 00,3135 56123 XCH VBUF +1
046689,002311: 00,3136 56122 XCH VBUF
046690,002312: 00,3137 56125 XCH VBUF +3
046691,002313: 00,3140 56124 XCH VBUF +2
046692,002314: 00,3141 56127 XCH VBUF +5
046693,002315: 00,3142 56126 XCH VBUF +4
046694,002316:
046695,002317: 00,3143 40135 CS MPTEMP
046696,002318: 00,3144 50000 INDEX A
046697,002319: 00,3145 34736 CAF BIT14
046698,002320: 00,3146 00006 EXTEND
046699,002321: 00,3147 70154 MP MPAC
046700,002322: 00,3150 13062 TCF SMALL2
046701,002323:
046702,002324: 00,3151 4761 THIRTEEN = OCT15
046703,002325: 00,3151 4317 FOURTEEN = OCT16
046704,002326: 00,3151 4317 OCT16 = R1D1
046705,002327:
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|
Page 1065 |
046707,002329: # THE FOLLOWING ROUTINE SETS UP THE CALL TO THE DIVIDE ROUTINES.
046708,002330:
046709,002331: 00,3151 10154 UNITDV CCS MPAC # FORCE MPAC POSITIVE IF POSSIBLE, SETTING
046710,002332: 00,3152 13170 TCF UMPAC+ # DVSIGN ACCORDING TO THE SIGN OF MPAC
046711,002333: 00,3153 13155 TCF +2 # SINCE THE DIVISOR IS ALWAYS POSITIVE
046712,002334: 00,3154 13162 TCF UMPAC- # HERE.
046713,002335:
046714,002336: 00,3155 10155 CCS MPAC +1
046715,002337: 00,3156 13170 TCF UMPAC+
046716,002338: 00,3157 00002 TC Q # EXIT IMMEDIATELY ON ZERO.
046717,002339: 00,3160 13162 TCF UMPAC-
046718,002340: 00,3161 00002 TC Q
046719,002341:
046720,002342: 00,3162 44755 UMPAC- CS ZERO # IF NEGATIVE, SET -0 IN DVSIGN FOR FINAL
046721,002343: 00,3163 54136 TS DVSIGN # COMPLEMENT.
046722,002344: 00,3164 00006 EXTEND
046723,002345: 00,3165 40155 DCS MPAC # PICK UP ABSOLUTE VALUE OF ARG AND JUMP.
046724,002346: 00,3166 50135 INDEX MPTEMP
046725,002347: 00,3167 12564 TCF MAXTEST -1
046726,002348:
046727,002349: 00,3170 54136 UMPAC+ TS DVSIGN # SET DVSIGN FOR POSITIVE QUOTIENT.
046728,002350: 00,3171 52155 DXCH MPAC
046729,002351: 00,3172 50135 INDEX MPTEMP
046730,002352: 00,3173 12564 TCF MAXTEST -1
046731,002353:
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|
Page 1066 |
046733,002355: # MISCELLANEOUS UNARY OPERATIONS.
046734,002356:
046735,002357: 00,3174 03300 DSQ TC DSQSUB # SQUARE THE DP CONTENTS OF MPAC.
046736,002358: 00,3175 16073 TCF DANZIG
046737,002359:
046738,002360: 00,3176 10163 ABVALABS CCS MODE # ABVAL OR ABS INSTRUCTION.
046739,002361: 00,3177 13226 TCF ABS # DO ABS ON SCALAR.
046740,002362: 00,3200 13226 TCF ABS
046741,002363:
046742,002364: 00,3201 03317 ABVAL TC VSQSUB # DOT MPAC WITH ITSELF.
046743,002365: 00,3202 22163 LXCH MODE # MODE IS NOW DP (L ZERO AFTER DAS).
046744,002366:
046745,002367: 00,3203 00006 EXTEND # STORE SQUARE OF LENGTH IN WORK AREA.
046746,002368: 00,3204 30155 DCA MPAC
046747,002369: 00,3205 50120 INDEX FIXLOC
046748,002370: 00,3206 52043 DXCH LVSQUARE
046749,002371:
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|
Page 1067 |
046751,002373: # PROGRAM DESCRIPTION- SUBROUTINE SQRT
046752,002374: # FUNCTIONAL DESCRIPTION-DOUBLE PRECISION SQUARE ROOT ROUTINE
046753,002375: # THIS PROGRAM TAKES THE SQUARE ROOT OF THE 27 OR 28 MOST SIGNIFICANT BITS IN THE TRIPLE PRECISION SET OF
046754,002376: # NUMBERS-MPAC,MPAC+1,AND MPAC+2. THE ROOT IS RETURNED DOUBLE PRECISION IN MPAC AND MPAC+1.
046755,002377: # WARNING- THIS SUBROUTINE USES A TRIPLE PRECISION INPUT. THE PROGRAMMER MUST ASSURE THE CONTENTS OF MPAC+2
046756,002378: # ESPECIALLY IF THE CONTENTS OF MPAC IS SMALL OR ZERO. FOR DETAILS SEE STG MEMO NO.949.
046757,002379: # CALLING SEQUENCE- IN INTERPRETIVE MODE I.E., FOLLOWING TC INTPRET,SQRT NO ADDRESS IS ALLOWED
046758,002380: # INPUT SCALING THE BINARY POINT IS ASSUMED TO THE RIGHT OF BIT 15. THE ANSWER IS RETURNED WITH THE SAME SCALING
046759,002381: # SUBROUTINES- GENSCR,MPACSHR, SQRTSUB,ABORT
046760,002382: # ABORT EXIT MODE- ABORTS ON NEGATIVE INPUT -1.2X10E-4 (77775 OCTAL) OR LESS.
046761,002383: # DISPLAYS ERROR CODE 1302
046762,002384: # TC ABORT
046763,002385: # OCT 1302
046764,002386: # DEBRIS - LOCATIONS BUF,MPTEMP,ADDRWD ARE USED
046765,002387: 00,3207 03343 SQRT TC SQRTSUB # TAKE THE SQUARE ROOT OF MPAC.
046766,002388: 00,3210 10135 CCS MPTEMP # RETURNED NORMALIZED SQUARE ROOT. SEE IF
046767,002389: 00,3211 13213 TCF +2 # ANY UN-NORMALIZATION REQUIRED AND EXIT
046768,002390: 00,3212 16073 TCF DANZIG # IF NOT.
046769,002391:
046770,002392: 00,3213 63733 AD NEG12 # A RIGHT SHIFT OF MORE THAN 13 COULD BE
046771,002393: 00,3214 00006 EXTEND # REQUIRED IF INPUT WAS ZERO IN MPAC,+1.
046772,002394: 00,3215 63221 BZMF SQRTSHFT # GOES HERE IN MOST CASES.
046773,002395: 00,3216 22007 ZL # IF A LONG SHIFT IS REQUIRED, GO TO
046774,002396: 00,3217 22116 LXCH ADDRWD # GENERAL RIGHT SHIFT ROUTINES.
046775,002397: 00,3220 12303 TCF GENSCR +4 # ADDRWD WAS ZERO TO PREVENT ROUND.
046776,002398:
046777,002399: 00,3221 50135 SQRTSHFT INDEX MPTEMP # SELECT SHIFTING BIT AND EXIT THROUGH
046778,002400: 00,3222 34735 CAF BIT15 # SHIFT ROUTINES.
046779,002401: 00,3223 54135 TS MPTEMP
046780,002402: 00,3224 34755 CAF ZERO # TO ZERO MPAC +2 IN THE PROCESS.
046781,002403: 00,3225 12036 TCF MPACSHR +3
046782,002404:
046783,002405: 00,3226 06735 ABS TC BRANCH # TEST SIGN OF MPAC AND COMPLEMENT IF
046784,002406: 00,3227 16073 TCF DANZIG
046785,002407: 00,3230 16073 TCF DANZIG
046786,002408: 00,3231 17702 TCF COMP
046787,002409:
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|
Page 1068 |
046789,002411: 00,3232 44751 VDEF CS FOUR # VECTOR DEFINE - ESSENTIALLY TREATS
046790,002412: 00,3233 26166 ADS PUSHLOC # SCALAR IN MPAC AS X COMPONENT, PUSHES UP
046791,002413: 00,3234 00006 EXTEND # FOR Y AND THEN AGAIN FOR Z.
046792,002414: 00,3235 50000 INDEX A
046793,002415: 00,3236 30003 DCA 2
046794,002416: 00,3237 52160 DXCH MPAC +3
046795,002417: 00,3240 00006 EXTEND
046796,002418: 00,3241 50166 INDEX PUSHLOC
046797,002419: 00,3242 30001 DCA 0
046798,002420: 00,3243 52162 DXCH MPAC +5
046799,002421: 00,3244 16533 TCF VMODE # MODE IS NON VECTOR.
046800,002422:
046801,002423: 00,3245 03317 VSQ TC VSQSUB # DOT MPAC WITH ITSELF.
046802,002424: 00,3246 17344 TCF DMODE # MODE IS NOW DP.
046803,002425:
046804,002426: 00,3247 00006 PUSH EXTEND # PUSH DOWN MPAC LEAVING IT LOADED.
046805,002427: 00,3250 30155 DCA MPAC
046806,002428: 00,3251 50166 INDEX PUSHLOC # PUSH DOWN FIRST TWO REGISTERS IN EACH
046807,002429: 00,3252 52001 DXCH 0
046808,002430:
046809,002431: 00,3253 50163 INDEX MODE # INCREMENT PUSHDOWN POINTER.
046810,002432: 00,3254 36256 CAF NO.WDS
046811,002433: 00,3255 26166 ADS PUSHLOC
046812,002434:
046813,002435: 00,3256 10163 CCS MODE
046814,002436: 00,3257 13272 TCF TPUSH # PUSH DOWN MPAC +2.
046815,002437: 00,3260 16073 TCF DANZIG # DONE FOR DP.
046816,002438:
046817,002439: 00,3261 00006 EXTEND # ON VECTOR, PUSH DOWN Y AND Z COMPONENTS.
046818,002440: 00,3262 30160 DCA MPAC +3
046819,002441: 00,3263 50166 INDEX PUSHLOC
046820,002442: 00,3264 51775 DXCH 0 -4
046821,002443: 00,3265 00006 EXTEND
046822,002444: 00,3266 30162 DCA MPAC +5
046823,002445: 00,3267 50166 INDEX PUSHLOC
046824,002446: 00,3270 51777 DXCH 0 -2
046825,002447: 00,3271 16073 TCF DANZIG
046826,002448:
046827,002449: 00,3272 30156 TPUSH CA MPAC +2
046828,002450: 00,3273 16566 TCF ENDTPUSH +2
046829,002451:
046830,002452: 00,3274 50120 RVQ INDEX FIXLOC # RVQ - RETURN IVA QPRET.
046831,002453: 00,3275 30052 CA QPRET
046832,002454: 00,3276 54117 TS POLISH
046833,002455: 00,3277 16664 TCF GOTO +4 # (ASSUME QPRET POINTS TO FIXED ONLY.)
046834,002456:
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|
Page 1069 |
046836,002458: # THE FOLLOWING SUBROUTINES ARE USED IN SQUARING MPAC, IN BOTH THE SCALAR AND VECTOR SENSE. THEY ARE
046837,002459: # SPECIAL CASES OF DMPSUB AND DOTSUB, PUT IN TO SAVE SOME TIME.
046838,002460:
046839,002461: 00,3300 30155 DSQSUB CA MPAC +1 # SQUARES THE SCALAR CONTENTS OF MPAC.
046840,002462: 00,3301 00006 EXTEND
046841,002463: 00,3302 70000 SQUARE
046842,002464: 00,3303 54156 TS MPAC +2
046843,002465: 00,3304 34755 CAF ZERO # FORM 2(CROSS TERM).
046844,002466: 00,3305 56155 XCH MPAC +1
046845,002467: 00,3306 00006 EXTEND
046846,002468: 00,3307 70154 MP MPAC
046847,002469: 00,3310 20001 DDOUBL # AND MAYBE OVERFLOW.
046848,002470: 00,3311 20156 DAS MPAC +1 # AND SET A TO NET OVERFLOW.
046849,002471: 00,3312 56154 XCH MPAC
046850,002472: 00,3313 00006 EXTEND
046851,002473: 00,3314 70000 SQUARE
046852,002474: 00,3315 20155 DAS MPAC
046853,002475: 00,3316 00002 TC Q
046854,002476:
046855,002477: 00,3317 00006 VSQSUB EXTEND # DOTS THE VECTOR IN MPAC WITH ITSELF.
046856,002478: 00,3320 22137 QXCH DOTRET
046857,002479: 00,3321 03300 TC DSQSUB # SQUARE THE X COMPONENT.
046858,002480: 00,3322 52160 DXCH MPAC +3
046859,002481: 00,3323 52155 DXCH MPAC
046860,002482: 00,3324 52131 DXCH BUF # SO WE CAN END IN DOTSUB.
046861,002483: 00,3325 30156 CA MPAC +2
046862,002484: 00,3326 54132 TS BUF +2
046863,002485:
046864,002486: 00,3327 03300 TC DSQSUB # SQUARE Y COMPONENT.
046865,002487: 00,3330 52156 DXCH MPAC +1
046866,002488: 00,3331 20132 DAS BUF +1
046867,002489: 00,3332 60154 AD MPAC
046868,002490: 00,3333 60130 AD BUF
046869,002491: 00,3334 54130 TS BUF
046870,002492: 00,3335 13337 TCF +2
046871,002493: 00,3336 54121 TS OVFIND # IF OVERFLOW.
046872,002494:
046873,002495: 00,3337 52162 DXCH MPAC +5
046874,002496: 00,3340 52155 DXCH MPAC
046875,002497: 00,3341 03300 TC DSQSUB # SQUARE Z COMPONENT.
046876,002498: 00,3342 17217 TCF ENDDOT # END AS IN DOTSUB.
046877,002499:
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Page 1070 |
046879,002501: # DOUBLE PRECISION SQUARE ROOT ROUTINE. TAKE THE SQUARE ROOT OF THE TRIPLE PRECISION (MPAC +2 USED ONLY
046880,002502: # IN NORMALIZATION) CONTENTS OF MPAC AND LEAVE THE NORMALIZED RESULT IN MPAC (C(MPAC) GREATER THAN OR EQUAL TO
046881,002503: # .5). THE RIGHT SHIFT COUNT (TO UNNORMALIZE) IS LEFT IN MPTEMP.
046882,002504:
046883,002505: 00,3343 34755 SQRTSUB CAF ZERO # START BY ZEROING RIGHT SHIFT COUNT.
046884,002506: 00,3344 54135 TS MPTEMP
046885,002507:
046886,002508: 00,3345 10154 CCS MPAC # CHECK FOR POSITIVE ARGUMENT, SHIFTING
046887,002509: 00,3346 13405 TCF SMPAC+ # FIRST SIGNIFICANT MPAC REGISTER INTO
046888,002510: 00,3347 13351 TCF +2 # MPAC ITSELF.
046889,002511: 00,3350 13373 TCF SQRTNEG # SEE IF MAG OF ARGUMENT LESS THAN 10(-4).
046890,002512:
046891,002513: 00,3351 56156 XCH MPAC +2 # MPAC IS ZERO - SHIFT LEFT 14.
046892,002514: 00,3352 56155 XCH MPAC +1
046893,002515: 00,3353 54154 TS MPAC
046894,002516: 00,3354 34757 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER.
046895,002517: 00,3355 54135 TS MPTEMP
046896,002518:
046897,002519: 00,3356 10154 CCS MPAC # SEE IF MPAC NOW PNZ.
046898,002520: 00,3357 13405 TCF SMPAC+
046899,002521: 00,3360 13362 TCF +2
046900,002522: 00,3361 13376 TCF ZEROANS # NEGATIVE BUT LESS THAN 10(-4) IN MAG.
046901,002523:
046902,002524: 00,3362 56155 XCH MPAC +1 # ZERO - SHIFT LEFT 14 AGAIN.
046903,002525: 00,3363 54154 TS MPAC
046904,002526: 00,3364 34757 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER.
046905,002527: 00,3365 26135 ADS MPTEMP
046906,002528:
046907,002529: 00,3366 10154 CCS MPAC
046908,002530: 00,3367 13405 TCF SMPAC+
046909,002531: 00,3370 00002 TC Q # SQRT(0) = 0.
046910,002532: 00,3371 13376 TCF ZEROANS
046911,002533: 00,3372 13453 TCF FIXROOT # DO NOT LEAVE SQRTSUB WITH -0 IN MPAC.
046912,002534:
046913,002535: 00,3373 10000 SQRTNEG CCS A # ARGUMENT IS NEGATIVE, BUT SEE IF SIGN-
046914,002536: 00,3374 13402 TCF SQRTABRT # CORRECTED ARGUMENT IS LESS THAN 10(-4)
046915,002537:
046916,002538: 00,3375 10155 CCS MPAC +1 # IN MAGNITUDE. IF SO, CALL ANSWER ZERO.
046917,002539: 00,3376 34755 ZEROANS CAF ZERO # FORCE ANSWER TO ZERO HERE.
046918,002540: 00,3377 13453 TCF FIXROOT
046919,002541: 00,3400 13402 TCF SQRTABRT
046920,002542: 00,3401 13453 TCF FIXROOT
046921,002543:
046922,002544: 00,3402 52165 SQRTABRT DXCH LOC
046923,002545: 00,3403 05727 TC POODOO1
046924,002546: 00,3404 21302 OCT 21302
046925,002547:
046926,002548: 00,3405 62444 SMPAC+ AD -1/2+2 # SEE IF ARGUMENT GREATER THAN OR EQUAL TO
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Page 1071 |
046928,002550: 00,3406 00006 EXTEND # .5.
046929,002551: 00,3407 63456 BZMF SRTEST # IF SO, SEE IF LESS THAN .25.
046930,002552:
046931,002553: 00,3410 52155 DXCH MPAC # WE WILL TAKE THE SQUARE ROOT OF MPAC/2.
046932,002554: 00,3411 22021 LXCH SR # SHIFT RIGHT 1 AND GO TO THE SQRT ROUTINE
046933,002555: 00,3412 00006 EXTEND
046934,002556: 00,3413 74736 MP HALF
046935,002557: 00,3414 52155 DXCH MPAC
046936,002558: 00,3415 56021 XCH SR
046937,002559: 00,3416 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW.
046938,002560:
046939,002561: 00,3417 32314 ARGHI CAF SLOPEHI # ARGUMENT BETWEEN .25 AND .5. GET A
046940,002562: 00,3420 00006 EXTEND # LINEAR APPROXIMATION FOR THIS RANGE.
046941,002563: 00,3421 70154 MP MPAC
046942,002564: 00,3422 62566 AD BIASHI # X0/2 = (MPAC/2)(SLOPEHI) + BIASHI/2.
046943,002565:
046944,002566: 00,3423 54130 +4 TS BUF # X0/2 (ARGLO ENTERS HERE).
046945,002567: 00,3424 30154 CA MPAC # SINGLE-PRECISION THROUGHOUT.
046946,002568: 00,3425 22007 ZL
046947,002569: 00,3426 00006 EXTEND
046948,002570: 00,3427 10130 DV BUF # (MPAC/2)/(X0/2)
046949,002571: 00,3430 00006 EXTEND
046950,002572: 00,3431 74736 MP HALF
046951,002573: 00,3432 26130 ADS BUF # X1 = X0/2 + .5(MPAC/2)/(X0/2).
046952,002574:
046953,002575: 00,3433 00006 EXTEND
046954,002576: 00,3434 74736 MP HALF # FORM UP X1/2.
046955,002577: 00,3435 52155 DXCH MPAC # SAVE AND BRING OUT ARGUMENT.
046956,002578: 00,3436 00006 EXTEND # TAKE DP QUOTIENT WITH X1.
046957,002579: 00,3437 10130 DV BUF
046958,002580: 00,3440 54131 TS BUF +1 # SAVE MAJOR PART OF QUOTIENT.
046959,002581: 00,3441 34755 CAF ZERO # FORM MINOR PART OF QUOTIENT USING
046960,002582: 00,3442 56001 XCH L # (REMAINDER,0).
046961,002583: 00,3443 00006 EXTEND
046962,002584: 00,3444 10130 DV BUF
046963,002585: 00,3445 54001 TS L # IN PREPARATION FOR DAS.
046964,002586: 00,3446 30131 CA BUF +1
046965,002587: 00,3447 20155 DAS MPAC # X2 = X1/2 + (MPAC/2)X1
046966,002588:
046967,002589: 00,3450 00006 EXTEND # OVERFLOWS IF ARG. NEAR POSMAX.
046968,002590: 00,3451 13455 BZF TCQBNK00
046969,002591: 00,3452 34733 CAF POSMAX
046970,002592: 00,3453 54154 FIXROOT TS MPAC
046971,002593: 00,3454 54155 TS MPAC +1
046972,002594: 00,3455 00002 TCQBNK00 TC Q # RETURN TO CALLER TO UNNORMALIZE, ETC.
046973,002595:
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Page 1072 |
046975,002597: 00,3456 64737 SRTEST AD QUARTER # ARGUMENT WAS LESS THAN .5, SEE IF LESS
046976,002598: 00,3457 00006 EXTEND # THAN .25.
046977,002599: 00,3460 63502 BZMF SQRTNORM # IF SO, BEGIN NORMALIZATION.
046978,002600:
046979,002601: 00,3461 52155 DXCH MPAC # IF BETWEEN .5 AND .25, SHIFT RIGHT 1 AND
046980,002602: 00,3462 22021 LXCH SR # START AT ARGLO.
046981,002603: 00,3463 00006 EXTEND
046982,002604: 00,3464 74736 MP HALF
046983,002605: 00,3465 52155 DXCH MPAC
046984,002606: 00,3466 56021 XCH SR
046985,002607: 00,3467 26155 ADS MPAC +1 # NO OVERFLOW.
046986,002608:
046987,002609: 00,3470 33007 ARGLO CAF SLOPELO # (NORMALIZED) ARGUMENT BETWEEN .125 AND
046988,002610: 00,3471 00006 EXTEND # .25
046989,002611: 00,3472 70154 MP MPAC
046990,002612: 00,3473 62270 AD BIASLO
046991,002613: 00,3474 13423 TCF ARGHI +4 # BEGIN SQUARE ROOT.
046992,002614:
046993,002615: 00,3475 00006 SQRTNM2 EXTEND # SHIFT LEFT 2 AND INCREMENT RIGHT SHIFT
046994,002616: 00,3476 30156 DCA MPAC +1 # COUNT (FOR TERMINAL UNNORMALIZATION).
046995,002617: 00,3477 20156 DAS MPAC +1
046996,002618: 00,3500 60154 AD MPAC
046997,002619: 00,3501 26154 ADS MPAC # (NO OVERFLOW).
046998,002620:
046999,002621: 00,3502 24135 SQRTNORM INCR MPTEMP # FIRST TIME THROUGH, JUST SHIFT LEFT 1
047000,002622: 00,3503 00006 EXTEND # (PUTS IN EFFECTIVE RIGHT SHIFT SINCE
047001,002623: 00,3504 30156 DCA MPAC +1 # WE WANT MPAC/2).
047002,002624: 00,3505 20156 DAS MPAC +1
047003,002625: 00,3506 60154 AD MPAC
047004,002626: 00,3507 26154 ADS MPAC # (AGAIN NO OVERFLOW).
047005,002627: 00,3510 60000 DOUBLE
047006,002628: 00,3511 54022 TS CYL
047007,002629:
047008,002630: 00,3512 10022 NORMTEST CCS CYL # SEE IF ARGUMENT NOW NORMALIZED AT
047009,002631: 00,3513 10022 CCS CYL # GREATER THAN .125.
047010,002632: 00,3514 13475 TCF SQRTNM2 # NO - SHIFT LEFT 2 MORE AND TRY AGAIN.
047011,002633: 00,3515 13417 TCF ARGHI # YES - NOW BETWEEN .5 AND .25.
047012,002634: 00,3516 13470 TCF ARGLO # ARGUMENT NOW BETWEEN .25 AND .125.
047013,002635:
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|
Page 1073 |
047015,002637: # TRIGONOMETRIC FUNCTION PACKAGE.
047016,002638:
047017,002639: # THE FOLLOWING TRIGONOMETRIC FUNCTIONS ARE AVAILABLE AS INTERPRETIVE OPERATIONS:
047018,002640:
047019,002641: # 1. SIN COMPUTES (1/2)SINE(2 PI MPAC).
047020,002642: # 2. COS COMPUTES (1/2)COSINE(2 PI MPAC).
047021,002643:
047022,002644: # 3. ASIN COMPUTES (1/2PI)ARCSINE(2 MPAC).
047023,002645: # 4. ACOS COMPUTES (1/2PI)ARCCOSINE(2 MPAC).
047024,002646:
047025,002647: # SIN-ASIN AND COS-ACOS ARE MUTUALLY INVERSE, IE SIN(ASIN(X)) = X.
047026,002648:
047027,002649: 00,3517 06735 COSINE TC BRANCH # FINDS COSINE USING THE IDENTITY
047028,002650: 00,3520 13523 TCF +3 # COS(X) = SIN(PI/2 - ABS(X)).
047029,002651: 00,3521 13526 TCF PRESINE
047030,002652: 00,3522 13526 TCF PRESINE
047031,002653:
047032,002654: 00,3523 00006 +3 EXTEND
047033,002655: 00,3524 40155 DCS MPAC
047034,002656: 00,3525 52155 DXCH MPAC
047035,002657:
047036,002658: 00,3526 34737 PRESINE CAF QUARTER # PI/2 SCALED.
047037,002659: 00,3527 26154 ADS MPAC
047038,002660:
047039,002661:
047040,002662: 00,3530 52155 SINE DXCH MPAC # DOUBLE ARGUMENT.
047041,002663: 00,3531 20001 DDOUBL
047042,002664: 00,3532 54000 OVSK # SEE IF OVERFLOW PRESENT.
047043,002665: 00,3533 13536 TCF +3 # IF NOT, ARGUMENT OK AS IS.
047044,002666:
047045,002667: 00,3534 00006 EXTEND # IF SO, WE LOST (OR GAINED) PI, SO
047046,002668: 00,3535 40001 DCOM # COMPLEMENT MPAC USING THE IDENTITY
047047,002669: # SIN(X-(+)PI) = SIN(-X).
047048,002670: 00,3536 52155 +3 DXCH MPAC
047049,002671: 00,3537 30154 CA MPAC # SEE IF ARGUMENT GREATER THAN .5 IN
047050,002672: 00,3540 60000 DOUBLE # MAGNITUDE. IF SO, REDUCE IT TO LESS THAN
047051,002673: 00,3541 54001 TS L # .5 (+-PI/2 SCALED) AS FOLLOWS:
047052,002674: 00,3542 13553 TCF SN1
047053,002675:
047054,002676: 00,3543 50000 INDEX A # IF POSITIVE, FORM PI - X, IF NEGATIVE
047055,002677: 00,3544 34735 CAF NEG1/2 +1 # USE -PI - X.
047056,002678: 00,3545 60000 DOUBLE
047057,002679: 00,3546 00006 EXTEND
047058,002680: 00,3547 60154 SU MPAC # GUARANTEED NO OVERFLOW.
047059,002681: 00,3550 54154 TS MPAC
047060,002682: 00,3551 40155 CS MPAC +1
047061,002683: 00,3552 54155 TS MPAC +1
047062,002684:
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Page 1074 |
047064,002686: 00,3553 00006 SN1 EXTEND # SET UP TO EVALUATE HASTINGS POLYNOMIAL
047065,002687: 00,3554 30155 DCA MPAC
047066,002688: 00,3555 52134 DXCH BUF2
047067,002689: 00,3556 03300 TC DSQSUB # SQUARE MPAC.
047068,002690:
047069,002691: 00,3557 07234 TC POLY # EVALUATE FOURTH ORDER POLYNOMIAL.
047070,002692: 00,3560 00003 DEC 3 B-14
047071,002693: 00,3561 14441 37325 2DEC +.3926990796
047072,002694:
047073,002695: 00,3563 53250 60764 2DEC -.6459637111
047074,002696:
047075,002697: 00,3565 12146 21276 2DEC +.318758717
047076,002698:
047077,002699: 00,3567 75466 71471 2DEC -.074780249
047078,002700:
047079,002701: 00,3571 00236 32757 2DEC +.009694988
047080,002702:
047081,002703:
047082,002704: 00,3573 32470 CAF LBUF2 # MULTIPLY BY ARGUMENT AND SHIFT LEFT 2.
047083,002705: 00,3574 07120 TC DMPSUB -1
047084,002706:
047085,002707: 00,3575 00006 EXTEND
047086,002708: 00,3576 30156 DCA MPAC +1
047087,002709: 00,3577 20156 DAS MPAC +1
047088,002710: 00,3600 60154 AD MPAC
047089,002711: 00,3601 26154 ADS MPAC # NEITHER SHIFT OVERFLOWS.
047090,002712: 00,3602 00006 EXTEND
047091,002713: 00,3603 30156 DCA MPAC +1
047092,002714: 00,3604 20156 DAS MPAC +1
047093,002715: 00,3605 60154 AD MPAC
047094,002716: 00,3606 26154 ADS MPAC
047095,002717: 00,3607 16073 TCF DANZIG
047096,002718:
|
|
Page 1075 |
047098,002720: # ARCSIN/ARCCOS ROUTINE.
047099,002721:
047100,002722: 00,3610 33631 ARCSIN CAF LASINEX # COMPUTE ARCSIN BY USING THE IDENTITY
047101,002723: 00,3611 13613 TCF +2 # ARCSIN(X) = PI/2 - ARCCOS(X).
047102,002724:
047103,002725: 00,3612 33713 ARCCOS CAF LDANZIG # (EXITS IMMEDIATELY).
047104,002726: 00,3613 54136 TS ESCAPE
047105,002727: 00,3614 06735 TC BRANCH # TEST SIGN OF INPUT.
047106,002728: 00,3615 13625 TCF ACOSST # START IMMEDIATELY IF POSITIVE.
047107,002729: 00,3616 13731 TCF ACOSZERO # ARCCOS(0) = PI/2 = .25.
047108,002730: 00,3617 00006 EXTEND # IF NEGATIVE, USE THE IDENTITY
047109,002731: 00,3620 40155 DCS MPAC # ARCCOS(X) = PI - ARCCOS(-X), FORCING
047110,002732: 00,3621 52155 DXCH MPAC # ARGUMENT POSITIVE.
047111,002733: 00,3622 33734 CAF TCSUBTR # SET EXIT TO DO ABOVE BEFORE
047112,002734: 00,3623 56136 XCH ESCAPE # ARCSIN/ARCCOS CONSIDERATIONS.
047113,002735: 00,3624 54137 TS ESCAPE2
047114,002736:
047115,002737: 00,3625 44736 ACOSST CS HALF # TEST MAGNITUDE OF INPUT.
047116,002738: 00,3626 60154 AD MPAC
047117,002739: 00,3627 10000 CCS A
047118,002740: 00,3630 13721 TCF ACOSOVF # THIS IS PROBABLY AN OVERFLOW CASE.
047119,002741:
047120,002742: 00,3631 13707 LASINEX TCF ASINEX
047121,002743:
047122,002744: 00,3632 13642 TCF ACOSST2 # NO OVERFLOW - PROCEED.
047123,002745:
047124,002746: 00,3633 10155 CCS MPAC +1 # IF MAJOR PART IS .5, CALL ANSWER 0
047125,002747: 00,3634 34755 CAF ZERO # UNLESS MINOR PART NEGATIVE.
047126,002748: 00,3635 13637 TCF ACOS=0
047127,002749:
047128,002750: 00,3636 13642 TCF ACOSST2
047129,002751:
047130,002752: 00,3637 54155 ACOS=0 TS MPAC +1
047131,002753: 00,3640 54154 TS MPAC
047132,002754: 00,3641 00136 TC ESCAPE
047133,002755:
047134,002756: 00,3642 00006 ACOSST2 EXTEND # NOW THAT ARGUMENT IS IN PROPER RANGE,
047135,002757: 00,3643 40155 DCS MPAC # BEGIN COMPUTATION. USE HASTINGS
047136,002758: 00,3644 64736 AD HALF # APPROXIMATION ARCCOS(X) = SQRT(1-X)P(X)
047137,002759: 00,3645 52155 DXCH MPAC # IN A SCALED VERSION WHERE P(X) IS A
047138,002760: 00,3646 52134 DXCH BUF2 # SEVENTH ORDER POLYNOMIAL.
047139,002761:
047140,002762: 00,3647 03343 TC SQRTSUB # RETURNS WITH NORMALIZED SQUARE ROOT.
047141,002763:
047142,002764: 00,3650 10135 CCS MPTEMP # SEE IF UN-NORMALIZATION REQUIRED.
047143,002765: 00,3651 13714 TCF ACOSSHR # IF SO.
047144,002766:
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|
Page 1076 |
047146,002768: 00,3652 52155 ACOS3 DXCH MPAC # SET UP FOR POLYNOMIAL EVALUATION.
047147,002769: 00,3653 52134 DXCH BUF2
047148,002770: 00,3654 52155 DXCH MPAC
047149,002771:
047150,002772: 00,3655 07234 TC POLY
047151,002773: 00,3656 00006 DEC 6 B-14
047152,002774: 00,3657 13240 23630 2DEC +.353553385 # COEFFICIENTS ARE C 2(+I)/PISQRT(2) WHERE
047153,002775:
047154,002776: 00,3661 74721 47775 2DEC* -.0483017006 B+1* # I
047155,002777:
047156,002778: 00,3663 02440 20237 2DEC* +.0200273085 B+2* # WHERE C STANDS FOR ORIGINAL COEFFS.
047157,002779:
047158,002780: 00,3665 75067 70742 2DEC* -.0112931863 B+3*
047159,002781:
047160,002782: 00,3667 03436 26756 2DEC* +.00695311612 B+4*
047161,002783:
047162,002784: 00,3671 74037 57640 2DEC* -.00384617957 B+5*
047163,002785:
047164,002786: 00,3673 03046 07143 2DEC* +.001501297736 B+6*
047165,002787:
047166,002788: 00,3675 76654 42244 2DEC* -.000284160334 B+7*
047167,002789:
047168,002790:
047169,002791: 00,3677 32470 CAF LBUF2 # DO FINAL MULTIPLY AND GO TO ANY
047170,002792: 00,3700 07120 TC DMPSUB -1 # EPILOGUE SEQUENCES.
047171,002793: 00,3701 00136 TC ESCAPE
047172,002794:
047173,002795: 00,3702 00006 SUBTR EXTEND # EPILOGUE FOR NEGATIVE INPUTS TO ARCCOS.
047174,002796: 00,3703 40155 DCS MPAC
047175,002797: 00,3704 64736 AD HALF # FORMS PI - ARCCOS(-X) = ARCCOS(X).
047176,002798: 00,3705 52155 DXCH MPAC
047177,002799: 00,3706 00137 TC ESCAPE2 # GO TO POSSIBLE ARCSIN EPILOGUE.
047178,002800:
047179,002801: 00,3707 00006 ASINEX EXTEND
047180,002802: 00,3710 40155 DCS MPAC # ARCSIN EPILOGUE - GET ARCSIN(X)
047181,002803: 00,3711 64737 AD QUARTER # = PI/2 - ARCCOS(X).
047182,002804: 00,3712 52155 DXCH MPAC
047183,002805: 00,3713 16073 LDANZIG TCF DANZIG
047184,002806:
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|
Page 1077 |
047186,002808: 00,3714 50000 ACOSSHR INDEX A # THE SHIFT RIGHT IS LESS THAN 14 SINCE
047187,002809: 00,3715 34736 CAF BIT14 # THE INPUT WAS NON-ZERO DP.
047188,002810: 00,3716 54135 TS MPTEMP
047189,002811: 00,3717 02073 TC VSHRRND # DP SHIFT RIGHT AND ROUND.
047190,002812: 00,3720 13652 TCF ACOS3 # PROCEED.
047191,002813:
047192,002814: 00,3721 00006 ACOSOVF EXTEND # IF MAJOR PART WAS ONLY 1 MORE THAN .5,
047193,002815: 00,3722 13637 BZF ACOS=0 # CALL ANSWER ZERO.
047194,002816:
047195,002817: 00,3723 00006 ACOSABRT EXTEND # IF OVERFLOW, CALL ANSWER ZERO BUT
047196,002818: 00,3724 30165 DCA LOC # SOUND AN ALARM.
047197,002819: 00,3725 05733 TC ALARM1
047198,002820: 00,3726 01301 OCT 1301
047199,002821:
047200,002822: 00,3727 34755 CAF ZERO
047201,002823: 00,3730 13637 TCF ACOS=0
047202,002824:
047203,002825: 00,3731 34737 ACOSZERO CAF QUARTER # ACOS(0) = PI/2.
047204,002826: 00,3732 13640 TCF ACOS=0 +1 # SET MPAC AND EXIT VIA ESCAPE.
047205,002827:
047206,002828: 00,3733 77763 NEG12 DEC -12 B-14
047207,002829: 00,3734 13702 TCSUBTR TCF SUBTR
047208,002830:
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|
Page 1078 |
047210,002832: # THE FOLLOWING INSTRUCTIONS ARE AVAILABLE FOR SETTING, MODIFYING, AND BRANCHING ON INDEX REGISTERS:
047211,002833:
047212,002834: # 1. AXT ADDRESS TO INDEX TRUE.
047213,002835: # 1. AXC ADDRESS TO INDEX COMPLEMENTED.
047214,002836: # 3. LXA LOAD INDEX FROM ERASABLE.
047215,002837: # 4. LXC LOAD INDEX COMPLEMENTED FROM ERASABLE.
047216,002838: # 5. SXA STORE INDEX IN ERASABLE.
047217,002839: # 6. XCHX EXCHANGE INDEX REIGSTER WITH ERASABLE.
047218,002840:
047219,002841: # 7. INCR INCREMENT INDEX REGISTER.
047220,002842: # 8. XAD ERASABLE ADD TO INDEX REGISTER.
047221,002843: # 9. XSU ERASABLE SUBTRACT FROM INDEX REGISTER.
047222,002844:
047223,002845: # 10. TIX BRANCH ON INDEX REGISTER AND DECREMENT.
047224,002846:
047225,002847: 01,2350 BANK 01
047226,002848:
047227,002849: 01,2350 COUNT* $$/INTER
047228,002850: 01,2350 02445 AXT TC TAGSUB # SELECT APPROPRIATE INDEX REGISTER.
047229,002851: 01,2351 30117 CA POLISH
047230,002852: 01,2352 50130 XSTORE INDEX INDEXLOC # CONTAINS C(FIXLOC) OR C(FIXLOC)+1.
047231,002853: 01,2353 54046 TS X1
047232,002854: 01,2354 16073 TCF DANZIG
047233,002855:
047234,002856: 01,2355 02445 AXC TC TAGSUB
047235,002857: 01,2356 40117 CS POLISH
047236,002858: 01,2357 02352 TC XSTORE
047237,002859:
047238,002860: 01,2360 02433 LXA TC 15ADRERS # LOAD INDEX REGISTER FROM ERASABLE.
047239,002861: 01,2361 50117 INDEX POLISH
047240,002862: 01,2362 30000 CA 0
047241,002863: 01,2363 12352 TCF XSTORE
047242,002864:
047243,002865: 01,2364 02433 LXC TC 15ADRERS # LOAD NDX REG FROM ERASABLE COMPLEMENTED.
047244,002866: 01,2365 50117 INDEX POLISH
047245,002867: 01,2366 40000 CS 0
047246,002868: 01,2367 12352 TCF XSTORE
047247,002869:
047248,002870: 01,2370 02433 SXA TC 15ADRERS # STORE INDEX REGISTER IN ERASABLE.
047249,002871: 01,2371 50130 INDEX INDEXLOC
047250,002872: 01,2372 30046 CA X1
047251,002873: 01,2373 50117 MSTORE1 INDEX POLISH
047252,002874: 01,2374 54000 TS 0
047253,002875: 01,2375 16073 TCF DANZIG
047254,002876:
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|
Page 1079 |
047256,002878: 01,2376 02433 XCHX TC 15ADRERS # EXCHANGE INDEX REGISTER WITH ERASABLE.
047257,002879: 01,2377 50117 INDEX POLISH
047258,002880: 01,2400 30000 CA 0
047259,002881: 01,2401 50130 INDEX INDEXLOC
047260,002882: 01,2402 56046 XCH X1
047261,002883: 01,2403 12373 TCF MSTORE1
047262,002884:
047263,002885: 01,2404 02433 XAD TC 15ADRERS # ADD ERASABLE TO INDEX REGISTER.
047264,002886: 01,2405 50117 INDEX POLISH
047265,002887: 01,2406 30000 CA 0
047266,002888: 01,2407 50130 XAD2 INDEX INDEXLOC
047267,002889: 01,2410 26046 ADS X1 # IGNORING OVERFLOWS.
047268,002890: 01,2411 16073 TCF DANZIG
047269,002891:
047270,002892: 01,2412 02445 INCR TC TAGSUB # INCREMENT INDEX REGISTER.
047271,002893: 01,2413 30117 CA POLISH
047272,002894: 01,2414 12407 TCF XAD2
047273,002895:
047274,002896: 01,2415 02433 XSU TC 15ADRERS # SUBTRACT ERASABLE FROM INDEX REGISTER.
047275,002897: 01,2416 50117 INDEX POLISH
047276,002898: 01,2417 40000 CS 0
047277,002899: 01,2420 12407 TCF XAD2
047278,002900:
047279,002901: 01,2421 02445 TIX TC TAGSUB # BRANCH AND DECREMENT ON INDEX.
047280,002902: 01,2422 50130 INDEX INDEXLOC
047281,002903: 01,2423 40050 CS S1
047282,002904: 01,2424 50130 INDEX INDEXLOC
047283,002905: 01,2425 60046 AD X1
047284,002906: 01,2426 00006 EXTEND # NO OPERATION IF DECREMENTED INDEX IS
047285,002907: 01,2427 66073 BZMF DANZIG # NEGATIVE OR ZERO.
047286,002908:
047287,002909: 01,2430 50130 DOTIXBR INDEX INDEXLOC
047288,002910: 01,2431 56046 XCH X1 # IGNORING OVERFLOWS.
047289,002911:
047290,002912: 01,2432 16660 TCF GOTO # DO THE BRANCH USING THE CADR IN POLISH.
047291,002913:
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|
Page 1080 |
047293,002915: # SUBROUTINE TO CONVERT AN ERASABLE ADDRESS (11 BITS) TO AN EBANK SETTING AND SUBADDRESS.
047294,002916:
047295,002917: 01,2433 40117 15ADRERS CS POLISH
047296,002918: 01,2434 64772 AD DEC45
047297,002919: 01,2435 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA?
047298,002920: 01,2436 30120 CA FIXLOC # YES. ADD FIXLOC. EBANK OK AS IS.
047299,002921: 01,2437 12444 TCF +5
047300,002922:
047301,002923: 01,2440 35007 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS.
047302,002924: 01,2441 56117 XCH POLISH
047303,002925: 01,2442 54003 TS EBANK
047304,002926: 01,2443 74357 MASK LOW8
047305,002927: 01,2444 26117 +5 ADS POLISH # FALL INTO TAGSUB, AND RETURN VIA Q.
047306,002928:
047307,002929: # SUBROUTINE WHICH SETS THE ADDRESS OF THE SPECIFIED INDEX IN INDEXLOC. (ACTUALLY, THE ADDRESS -38D.)
047308,002930:
047309,002931: 01,2445 30120 TAGSUB CA FIXLOC
047310,002932: 01,2446 54130 TS INDEXLOC
047311,002933:
047312,002934: 01,2447 10020 CCS CYR # BIT 15 SPECIFIES INDEX.
047313,002935: 01,2450 24130 INCR INDEXLOC # 0 MEANS USE X2.
047314,002936: 01,2451 00002 TC Q
047315,002937: 01,2452 00002 TC Q # 1 FOR X1.
047316,002938:
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|
Page 1081 |
047318,002940: # MISCELLANEOUS OPERATION CODES WITH DIRECT ADDRESSES. INCLUDED HERE ARE:
047319,002941:
047320,002942: # 1. ITA STORE QPRET (RETURN ADDRESS) IN ERASABLE.
047321,002943: # 2. CALL CALL A SUBROUTINE, LEAVING RETURN IN QPRET.
047322,002944: # 3. RTB RETURN TO BASIC LANGUAGE AT THE GIVEN ADDRESS.
047323,002945: # 4. BHIZ BRANCH IF THE HIGH ORDER OF MPAC IS ZERO (SINGLE PRECISION).
047324,002946: # 5. BOV BRANCH ON OVERFLOW.
047325,002947: # 6. GOTO SIMPLE SEQUENCE CHANGE.
047326,002948:
047327,002949: 01,2453 10020 RTB/BHIZ CCS CYR
047328,002950: 01,2454 30117 RTB CA POLISH
047329,002951: 01,2455 04621 TC SWCALL -1 # SO A "TC Q" FROM ROUTINE LEADS TO DANZIG
047330,002952:
047331,002953: 01,2456 10154 BHIZ CCS MPAC
047332,002954: 01,2457 16073 TCF DANZIG
047333,002955: 01,2460 16660 TCF GOTO
047334,002956: 01,2461 16073 TCF DANZIG
047335,002957: 01,2462 16660 TCF GOTO
047336,002958:
047337,002959: 01,2463 10121 BOV(B) CCS OVFIND # BRANCH ON OVERFLOW TO BASIC OR INTERP.
047338,002960: 01,2464 12466 TCF +2
047339,002961: 01,2465 16073 TCF DANZIG
047340,002962: 01,2466 54121 TS OVFIND
047341,002963: 01,2467 10020 CCS CYR
047342,002964: 01,2470 12454 TCF RTB # IF BASIC.
047343,002965: 01,2471 00360 B5TOB8 OCT 360
047344,002966: 01,2472 16660 TCF GOTO
047345,002967:
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|
Page 1082 |
047347,002969: 01,2473 10020 BZE/GOTO CCS CYR # SEE WHICH OP-CODE IS DESIRED.
047348,002970: 01,2474 06735 TC BRANCH # DO BZE.
047349,002971: 01,2475 16073 TCF DANZIG
047350,002972: 01,2476 16660 TCF GOTO # DO GOTO.
047351,002973: 01,2477 16073 TCF DANZIG
047352,002974:
047353,002975: 01,2500 10020 BPL/BMN CCS CYR
047354,002976: 01,2501 12507 TCF BPL
047355,002977: 01,2502 12000 5B10 DEC 5 B+10 # SHIFTS OP CODE IN SWITCH INSTRUCTION ADR
047356,002978:
047357,002979: 01,2503 06735 TC BRANCH # DO BMN.
047358,002980: 01,2504 16073 TCF DANZIG
047359,002981: 01,2505 16073 TCF DANZIG
047360,002982: 01,2506 16660 TCF GOTO # ONLY IF NNZ.
047361,002983:
047362,002984: 01,2507 06735 BPL TC BRANCH
047363,002985: 01,2510 16660 TCF GOTO # IF POSITIVE OR ZERO.
047364,002986: 01,2511 16660 TCF GOTO
047365,002987: 01,2512 16073 TCF DANZIG
047366,002988:
047367,002989: 01,2513 10020 CALL/ITA CCS CYR
047368,002990: 01,2514 16652 TCF CALL
047369,002991:
047370,002992: 01,2515 05706 TC CCSHOLE
047371,002993: 01,2516 02433 TC 15ADRERS # STORE QPRET. (TAGSUB AFTER 15ADRERS IS
047372,002994: 01,2517 50120 INDEX FIXLOC # SLOW IN THIS CASE, BUT SAVES STORAGE.)
047373,002995: 01,2520 30052 CA QPRET
047374,002996: 01,2521 12373 TCF MSTORE1
047375,002997:
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Page 1083 |
047377,002999: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR ALTERING AND TESTING INTERPRETIVE SWITCHES:
047378,003000:
047379,003001: # 00 BONSET SET A SWITCH AND DO A GOTO IF IT WAS ON.
047380,003002: # 01 SETGO SET A SWITCH AND DO A GOTO.
047381,003003: # 02 BOFSET SET A SWITCH AND DO A GOTO IF IT WAS OFF
047382,003004: # 03 SET SET A SWITCH.
047383,003005:
047384,003006: # 04 BONINV INVERT A SWITCH AND BRANCH IF IT WAS ON.
047385,003007: # 05 INVGO INVERT A SWITCH AND DO A GOTO.
047386,003008: # 06 BOFINV INVERT A SWITCH AND BRANCH IF IT WAS OFF
047387,003009: # 07 INVERT INVERT A SWITCH.
047388,003010:
047389,003011: # 10 BONCLR CLEAR A SWITCH AND BRANCH IF IT WAS ON.
047390,003012: # 11 CLRGO CLEAR A SWITCH AND DO A GOTO.
047391,003013: # 12 BOFCLR CLEAR A SWITCH AND BRANCH IF IT WAS OFF.
047392,003014: # 13 CLEAR CLEAR A SWITCH.
047393,003015:
047394,003016: # 14 BON BRANCH IF A SWITCH WAS ON.
047395,003017: # 16 BOFF BRANCH IF A SWITCH WAS OFF.
047396,003018:
047397,003019:
047398,003020: # THE ADDRESS SUPPLIED WITH THE SWITCH INSTRUCTION IS INTERPRETED AS FOLLOWS:
047399,003021:
047400,003022: # BITS 1-4 SWITCH BIT NUMBER (1-15).
047401,003023: # BITS 5-8 SWITCH OPERATION NUMBER.
047402,003024: # BITS 9- SWITCH WORD NUMBER (UP TO 64 SWITCH WORDS).
047403,003025:
047404,003026: # THE ADDRESS ITSELF IS MADE UP BY THE YUL SYSTEM ASSEMBLER. THE BRANCH INSTRUCTIONS REQUIRE TWO
047405,003027: # ADDRESSES, THE SECOND TAKEN AS THE DIRECT (OR INDIRECT IF IN ERASABLE) ADDRESS OF THE BRANCH.
047406,003028:
047407,003029:
047408,003030: 01,2522 34762 SWITCHES CAF LOW4 # LEAVE THE SWITCH BIT IN SWBIT .
047409,003031: 01,2523 70117 MASK POLISH
047410,003032: 01,2524 50000 INDEX A
047411,003033: 01,2525 34735 CAF BIT15 # (NUMBER FROM LEFT TO RIGHT.)
047412,003034: 01,2526 54131 TS SWBIT
047413,003035:
047414,003036: 01,2527 34745 CAF BIT7 # LEAVE THE SWITCH NUMBER IN SWWORD.
047415,003037: 01,2530 00006 EXTEND
047416,003038: 01,2531 70117 MP POLISH
047417,003039: 01,2532 54130 TS SWWORD
047418,003040:
047419,003041: 01,2533 00004 INHINT # DURING SWITCH CHANGE SO RUPT CAN USE TOO
047420,003042: 01,2534 50000 INDEX A # LEAVE THE SWITCH WORD ITSELF IN L.
047421,003043: 01,2535 30074 CA STATE
047422,003044: 01,2536 54002 TS Q # Q WILL BE USED AS A CHANNEL.
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Page 1084 |
047424,003046: 01,2537 34741 CAF BIT11
047425,003047: 01,2540 00006 EXTEND # DISPATCH SWITCH BIT OPERATION AS IN BITS
047426,003048: 01,2541 70117 MP POLISH # 7-8 OF POLISH.
047427,003049: 01,2542 72602 MASK B3TOB4 # GETS 4X2-BIT CODE.
047428,003050: 01,2543 50000 INDEX A
047429,003051: 01,2544 12545 TCF +1
047430,003052:
047431,003053: 01,2545 30131 +1 CA SWBIT # 00 - SET SWITCH IN QUESTION.
047432,003054: 01,2546 00006 EXTEND
047433,003055: 01,2547 04002 ROR QCHAN
047434,003056: 01,2550 12557 TCF SWSTORE
047435,003057:
047436,003058: 01,2551 30131 +5 CA SWBIT # 01 - INVERT SWITCH.
047437,003059: 01,2552 00006 EXTEND
047438,003060: 01,2553 06002 RXOR QCHAN
047439,003061: 01,2554 12557 TCF SWSTORE
047440,003062:
047441,003063: 01,2555 40131 +9D CS SWBIT # 10 - CLEAR.
047442,003064: 01,2556 70002 MASK Q
047443,003065: 01,2557 50130 SWSTORE INDEX SWWORD
047444,003066: 01,2560 54074 TS STATE # NEW SWITCH WORD.
047445,003067:
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|
Page 1085 |
047447,003069: 01,2561 00003 +13D RELINT # 11 - NOOP.
047448,003070: 01,2562 34737 CAF BIT13
047449,003071: 01,2563 00006 EXTEND # DISPATCH SEQUCE CHANGING OR BRANCHING
047450,003072: 01,2564 70117 MP POLISH # CODE.
047451,003073: 01,2565 72602 MASK B3TOB4
047452,003074: 01,2566 50000 INDEX A
047453,003075: 01,2567 12570 TCF +1 # ORIGINALLY STORED IN BITS 5-6.
047454,003076:
047455,003077: 01,2570 40002 +1 CS Q # 00 - BRANCH IF ON.
047456,003078: 01,2571 70131 TEST MASK SWBIT
047457,003079: 01,2572 10000 CCS A
047458,003080: 01,2573 12603 TCF SWSKIP
047459,003081:
047460,003082: 01,2574 16727 +5 TCF SWBRANCH # 01 - GO TO.
047461,003083:
047462,003084: 01,2575 12603 TCF SWSKIP # HERE ONLY ON BIT 15.
047463,003085:
047464,003086: 01,2576 05706 TC CCSHOLE
047465,003087: 01,2577 05706 TC CCSHOLE
047466,003088:
047467,003089: 01,2600 30002 +9D CA Q # 10 - BRANCH IF OFF.
047468,003090: 01,2601 12571 TCF TEST
047469,003091:
047470,003092: 01,2602 00014 B3TOB4 OCT 0014
047471,003093: 01,2603 24164 SWSKIP INCR LOC
047472,003094:
047473,003095: 01,2604 01,2522 SW/ EQUALS SWITCHES
047474,003096:
047475,003097: 01,2604 16073 +13D TCF DANZIG # 11 - NOOP.
End of include-file INTERPRETER.agc. Parent file is MAIN.agc