Source Code

048862,000001: # Copyright: Public domain. 048863,000002: # Filename: INTERPRETER.agc 048864,000003: # Purpose: Part of the source code for Colossus 2A, AKA Comanche 055. 048865,000004: # It is part of the source code for the Command Module's (CM) 048866,000005: # Apollo Guidance Computer (AGC), for Apollo 11. 048867,000006: # Assembler: yaYUL 048868,000007: # Contact: Ron Burkey <info@sandroid.org>. 048869,000008: # Website: www.ibiblio.org/apollo. 048870,000009: # Pages: 1107-1199 048871,000010: # Mod history: 2009-05-08 RSB Adapted from the Luminary131/ file of the 048872,000011: # same name, using Comanche055 page images. 048873,000012: # 2009-05-20 RSB Corrections: P00D00 -> P00DOO, fixed a 048874,000013: # "Page N" reference. 048875,000014: # 2009-05-21 RSB Corrected definition of 5B10, which overflowed 048876,000015: # integer arithmetic. 048877,000016: # 2010-08-28 JL Fixed indentation. 048878,000017: # 2011-05-08 JL Removed workarounds. 048879,000018: 048880,000019: # This source code has been transcribed or otherwise adapted from digitized 048881,000020: # images of a hardcopy from the MIT Museum. The digitization was performed 048882,000021: # by Paul Fjeld, and arranged for by Deborah Douglas of the Museum. Many 048883,000022: # thanks to both. The images (with suitable reduction in storage size and 048884,000023: # consequent reduction in image quality as well) are available online at 048885,000024: # www.ibiblio.org/apollo. If for some reason you find that the images are 048886,000025: # illegible, contact me at info@sandroid.org about getting access to the 048887,000026: # (much) higher-quality images which Paul actually created. 048888,000027: 048889,000028: # Notations on the hardcopy document read, in part: 048890,000029: 048891,000030: # Assemble revision 055 of AGC program Comanche by NASA 048892,000031: # 2021113-051. 10:28 APR. 1, 1969 048893,000032: 048894,000033: # This AGC program shall also be referred to as 048895,000034: # Colossus 2A 048896,000035: 048897,000036: # Page 1107 048898,000037: # SECTION 1: DISPATCHER 048899,000038: 048900,000039: # ENTRY TO THE INTERPRETER. INTPRET SETS LOC TO THE FIRST INSTRUCTION, BANKSET TO THE BBANK OF THE 048901,000040: # OBJECT INTERPRETIVE PROGRAM, AND INTBIT15 TO THE BIT15 CONTENTS OF FBANK. INTERPRETIVE PROGRAMS MAY BE IN 048902,000041: # VIRTUALLY ALL BANKS PRESENT UNDER ANY SUPER-BANK SETTING, WITH THE RESTRICTION THAT PROGRAMS IN HIGH BANKS 048903,000042: # (BIT15 OF FBANK = 1) DO NOT REFER TO LOWBANKS, AND VICE-VERSA. THE INTERPRETER DOES NOT SWITCH SUPERBANKS. 048904,000043: # E-BANK SWITCHING OCCURS WHENEVER GENERAL ERASABLE (100-3777) IS ADDRESSED. 048905,000044: 048906,000045: 6006 BLOCK 03 048907,000046: 048908,000047: 6006 COUNT* $$/INTER 048909,000048: 6006 00003 INTPRET RELINT 048910,000049: 6007 00006 EXTEND # SET LOC TO THE WORD FOLLOWING THE TC. 048911,000050: 6010 22164 QXCH LOC 048912,000051: 6011 30006 +2 CA BBANK # INTERPRETIVE BRANCHES FINISH HERE. 048913,000052: 6012 54165 TS BANKSET 048914,000053: 6013 75001 MASK BIT15 # GET 15TH BIT FOR INDEXABLE ADDRESSES. 048915,000054: 6014 54115 TS INTBIT15 048916,000055: 048917,000056: 6015 54023 TS EDOP # MAKE SURE NO INSTRUCTIONS LEFT OVER 048918,000057: 048919,000058: 6016 16037 TCF NEWOPS # PICK UP OP CODE PAIR AND BEGIN. 048920,000059: 048921,000060: 6017 22006 INTRSM LXCH BBANK # RESUME SUSPENDED INTERPRETIVE JOB 048922,000061: 6020 16011 TCF INTPRET +3 048923,000062: 048924,000063: # DLOAD LOADS MPAC, MPAC +1, LEAVING ZERO IN MPAC +2. 048925,000064: 048926,000065: 6021 00006 DLOAD EXTEND 048927,000066: 6022 50116 INDEX ADDRWD 048928,000067: 6023 30001 DCA 0 # LOAD DP C(C(ADDRWD)) INT MPAC,MPAC +1 048929,000068: 6024 52155 SLOAD2 DXCH MPAC 048930,000069: 6025 35021 CAF ZERO # ZERO MPAC +2 048931,000070: 048932,000071: # Page 1108 048933,000072: # AT THE END OF MOST INSTRUCTIONS, CONTROL IS GIVEN TO DANZIG TO DISPATCH THE NEXT OPERATION. 048934,000073: 048935,000074: 6026 54156 TS MPAC +2 # AND DECLARE DP MODE 048936,000075: 048937,000076: 6027 54163 NEWMODE TS MODE # PROLOGUE FOR MODE-CHANGING INSTRUCTIONS. 048938,000077: 048939,000078: 6030 30165 DANZIG CA BANKSET # SET BBANK BEFORE TESTING NEWJOB SO THAT 048940,000079: 6031 54006 TS BBANK # IT MAY BE SAVED DIRECTLY BY CHANJOB. 048941,000080: 048942,000081: 6032 10023 NOIBNKSW CCS EDOP # SEE IF AN ORDER CODE IS LEFT OVER FROM 048943,000082: 6033 16046 TCF OPJUMP # THE LAST PAIR RETRIEVED. IF SO, EXECUTE. 048944,000083: # EDOP IS SET TO ZERO ON ITS RE-EDITIING. 048945,000084: 048946,000085: 6034 10067 CCS NEWJOB # SEE IF A JOB OF HIGHER PRIORITY IS 048947,000086: 6035 15170 TCF CHANG2 # PRESENT, AND IF SO, CHANGE JOBS. 048948,000087: 048949,000088: 6036 24164 INCR LOC # ADVANCE THE LOCATION COUNTER. 048950,000089: 048951,000090: # ITRACE (1) REFERS TO "NEWOPS" 048952,000091: 6037 50164 NEWOPS INDEX LOC # ENTRY TO BEGIN BY PICKING OP CODE PAIR. 048953,000092: 6040 30000 CA 0 # MAY BE AN OPCODE PAIR OR A STORE CODE. 048954,000093: 6041 10000 CCS A # TEST SIGN AND GET DABS(A). 048955,000094: 6042 16331 TCF DOSTORE # PROCESS STORE CODE. 048956,000095: 048957,000096: 6043 00177 LOW7 OCT 177 048958,000097: 048959,000098: 6044 54023 TS EDOP # OP CODE PAIR. LEAVE THE OTHER IN EDOP 048960,000099: 6045 76043 MASK LOW7 # WHERE CCS EDOP WILL HONOR IT NEXT. 048961,000100: 048962,000101: 6046 54020 OPJUMP TS CYR # LOWWD ENTERS HERE IF A RIGHT-HAND OP 048963,000102: 6047 10020 CCS CYR # CODE IS TO BE PROCESSED. TEST PREFICES. 048964,000103: 6050 16216 TCF OPJUMP2 # TEST SECOND PREFIX BIT. 048965,000104: 048966,000105: 6051 16712 TCF EXIT # +0 OP CODE IS EXIT 048967,000106: 048968,000107: # Page 1109 048969,000108: # PROCESS ADDRESSES WHICH MAY BE DIRECT, INDEXED, OR REFERENCE THE PUSHDOWN LIST. 048970,000109: 048971,000110: 6052 75017 ADDRESS MASK BIT1 # SEE IF ADDRESS IS INDEXED. CYR CONTAINED 048972,000111: 6053 10000 CCS A # 400XX, SO BIT 1 IS NOW AS IT WAS IN CYR. 048973,000112: 6054 16115 TCF INDEX # FORM INDEXED ADDRESS. 048974,000113: 048975,000114: 6055 50164 DIRADRES INDEX LOC # LOOK AHEAD TO NEXT WORD TO SEE IF 048976,000115: 6056 40001 OCT40001 CS 1 # ADDRESS IS GIVEN. 048977,000116: 6057 10000 CCS A 048978,000117: 6060 16164 TCF PUSHUP # IF NOT. 048979,000118: 048980,000119: 6061 77773 NEG4 DEC -4 B-14 048981,000120: 048982,000121: 6062 24164 INCR LOC # IF SO, TO SHOW WE PICKED UP A WORD. 048983,000122: 6063 54116 TS ADDRWD 048984,000123: 048985,000124: # Page 1110 048986,000125: # FINAL DIGESTION OF DIRECT ADDRESSES OF OP CODES WITH 01 PREFIX IS DONE HERE. IN EACH CASE, THE 048987,000126: # REQUIRED 12-BIT SUB-ADDRESS IS LEFT IN ADDRWD, WITH ANY REQUIRED E OR F BANK SWITCHING DONE. ADDRESSES LESS 048988,000127: # 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. 048989,000128: 048990,000129: 6064 66220 AD -ENDVAC # SEE IF ADDRESS RELATIVE TO WORK AREA. 048991,000130: 6065 10000 CCS A 048992,000131: 6066 67712 AD -ENDERAS # IF NOT, SEE IF IN GENERAL ERASABLE. 048993,000132: 6067 16074 TCF IERASTST 048994,000133: 048995,000134: 6070 30120 NETZERO CA FIXLOC # IF SO, LEAVE THE MODIFIED ADDRESS IN 048996,000135: 6071 26116 ADS ADDRWD # ADDRWD AND DISPATCH. 048997,000136: 6072 50020 ITR15 INDEX CYR # THIS INDEX MAKES THE NEXT INSTRUCTION 048998,000137: 6073 76242 7 INDJUMP -1 # TCF INDJUMP + OP, EDITING CYR. 048999,000138: 049000,000139: 6074 00006 IERASTST EXTEND 049001,000140: 6075 66105 BZMF GEADDR # GO PROCESS GENERAL-ERASABLE ADDRESS. 049002,000141: 049003,000142: 6076 75054 MASK LOW10 # FIXED BANK ADDRESS. RESTORE AND ADD B15. 049004,000143: 6077 65054 AD LOW10 # SWITCH BANKS AND LEAVE SUBADDRESS IN 049005,000144: 6100 56116 XCH ADDRWD # ADDRWD FOR OPERAND RETRIEVAL. (THIS 049006,000145: 6101 60115 AD INTBIT15 # METHOD PRECLUDES USE OF THE LAST 049007,000146: 6102 54004 TS FBANK # LOCATION IN EACH FBANK.) 049008,000147: 6103 50020 ITR12 INDEX CYR 049009,000148: 6104 76242 7 INDJUMP -1 049010,000149: 049011,000150: 6105 74373 GEADDR MASK LOW8 049012,000151: 6106 65051 AD OCT1400 049013,000152: 6107 56116 XCH ADDRWD 049014,000153: 6110 54003 TS EBANK 049015,000154: 6111 50020 ITR10 INDEX CYR 049016,000155: 6112 76242 7 INDJUMP -1 049017,000156: 049018,000157: # Page 1111 049019,000158: # THE FOLLOWING ROUTINE PROCESSES INTERPRETIVE INDEXED ADDRESSES. AN INTERPRETER INDEX REGISTER MAY 049020,000159: # CONTAIN THE ADDRESS OF ANY ERASABLE REGISTER (0-42 BEING RELATIVE TO THE VAC AREA) OR ANY INTERPRETIVE PROGRAM 049021,000160: # BANK, OR ANY INTEGER IN THAT RANGE. 049022,000161: 049023,000162: 6113 37702 DODLOAD* CAF DLOAD* # STODL* COMES HERE TO PROCESS LOAD ADR. 049024,000163: 6114 54020 TS CYR # (STOVL* ENTERS HERE). 049025,000164: 049026,000165: 6115 30120 INDEX CA FIXLOC # SET UP INDEX LOCATION. 049027,000166: 6116 54130 TS INDEXLOC 049028,000167: 6117 24164 INCR LOC # (ADDRESS ALWAYS GIVEN). 049029,000168: 6120 50164 INDEX LOC 049030,000169: 6121 40000 CS 0 049031,000170: 6122 10000 CCS A # INDEX 2 IF ADDRESS STORED COMPLEMENTED. 049032,000171: 6123 24130 INCR INDEXLOC 049033,000172: 6124 16125 NOOP 049034,000173: 049035,000174: 6125 54116 TS ADDRWD # 14 BIT ADDRESS TO ADDRWD. 049036,000175: 6126 77711 MASK HIGH4 # IF ADDRESS GREATER THAN 2K, ADD INTBIT15 049037,000176: 6127 00006 EXTEND 049038,000177: 6130 16133 BZF INDEX2 049039,000178: 6131 30115 CA INTBIT15 049040,000179: 6132 26116 ADS ADDRWD 049041,000180: 049042,000181: 6133 50130 INDEX2 INDEX INDEXLOC 049043,000182: 6134 40046 CS X1 049044,000183: 6135 26116 ADS ADDRWD # DO AUGMENT, IGNORING AND CORRECTING OVF. 049045,000184: 049046,000185: 6136 77713 MASK HIGH9 # SEE IF ADDRESS IS IN WORK AREA. 049047,000186: 6137 00006 EXTEND 049048,000187: 6140 16153 BZF INDWORK 049049,000188: 6141 77711 MASK HIGH4 # SEE IF IN FIXED BANK. 049050,000189: 6142 00006 EXTEND 049051,000190: 6143 16155 BZF INDERASE 049052,000191: 049053,000192: 6144 30116 CA ADDRWD # IN FIXED -- SWITCH BANKS AND CREATE 049054,000193: 6145 54004 TS FBANK # SUB-ADDRESS 049055,000194: 6146 75054 MASK LOW10 049056,000195: 6147 65005 AD 2K 049057,000196: 6150 54116 TS ADDRWD 049058,000197: 6151 50020 ITR11 INDEX CYR 049059,000198: 6152 36242 3 INDJUMP -1 049060,000199: 049061,000200: 6153 30120 INDWORK CA FIXLOC # MAKE ADDRWD RELATIVE TO WORK AREA. 049062,000201: 6154 16161 TCF ITR13 -1 049063,000202: 049064,000203: 6155 35051 INDERASE CA OCT1400 049065,000204: 6156 56116 XCH ADDRWD 049066,000205: 6157 54003 TS EBANK 049067,000206: 6160 74373 MASK LOW8 049068,000207: 6161 26116 -1 ADS ADDRWD 049069,000208: # Page 1112 049070,000209: 6162 50020 ITR13 INDEX CYR 049071,000210: 6163 36242 3 INDJUMP -1 049072,000211: 049073,000212: # Page 1113 049074,000213: # PUSH-UP ROUTINES. WHEN NO OPERAND ADDRESS IS GIVEN, THE APPROPRIATE OPERAND IS TAKEN FROM THE PUSH-DOWN 049075,000214: # LIST. IN MOST CASES THE MODE OF THE RESULT (VECTOR OR SCALAR) OF THE LAST ARTGHMETIC OPERATION PERFORMED 049076,000215: # IS THE SAME AS THE TYPE OF OPERAND DESIRED (ALL ADD/SUBTRACT ETC.). EXCEPTIONS TO THIS GENERAL RULE ARE LISTED 049077,000216: # BELOW (NOTE THAT IN EVERY CASE THE MODE REGISTER IS LEFT INTACT): 049078,000217: 049079,000218: # 1. VXSC AND V/SC WANT THE OPPOSITE TYPE OF OPERAND, E.G., IF THE LAST OPERATION YIELDED A VECTOR 049080,000219: # RESULT, VXSC WANTS A SCALAR. 049081,000220: 049082,000221: # 2. THE LOAD CODES SHOULD LOAD THE ACCUMULATOR INDEPENDENT OF THE RESULT OF THE LAST OPERATION. THIS 049083,000222: # INCLUDES VLOAD, DLOAD, TLOAD, PDDL, AND PDVL (NO PUSHUP WITH SLOAD). 049084,000223: 049085,000224: # 3. SOME ARITHMETIC OPERATIONS REQUIRE A STANDARD TYPE OF OPERAND REGARDLESS OF THE PREVIOUS OPERATION. 049086,000225: # THIS INCLUDES SIGN WANTING DP AND TAD REQUIRING TP. 049087,000226: 049088,000227: 6164 34374 PUSHUP CAF OCT23 # IF THE LOW 5 BITS OF CYR ARE LESS THAN 049089,000228: 6165 70020 MASK CYR # 20, THIS OP REQUIRES SPECIAL ATTENTION. 049090,000229: 6166 66171 AD -OCT10 # (NO -0). 049091,000230: 6167 10000 CCS A 049092,000231: 6170 16202 TCF REGUP # FOR ALL CODES GREATEER THAN OCT 7. 049093,000232: 049094,000233: 6171 77767 -OCT10 OCT -10 049095,000234: 049096,000235: 6172 66061 AD NEG4 # WE NOW HAVE 7 -- OP CODE (MOD4). SEE IF 049097,000236: 6173 10000 CCS A # THE OP CODE (MOD4) IS THREE (REVERSE). 049098,000237: 6174 50000 INDEX A # NO -- THE MODE IS DEFINITE. PICK UP THE 049099,000238: 6175 46213 CS NO.WDS 049100,000239: 6176 16204 TCF REGUP +2 049101,000240: 049102,000241: 6177 50163 INDEX MODE # FOR VXSC AND V/SC WE WANT THE REQUIRED 049103,000242: 6200 46211 CS REVCNT # PUSHLOC DECREMENT WITHOUT CHANGING THE 049104,000243: 6201 16204 TCF REGUP +2 # MODE AT THE IS TIME. 049105,000244: 049106,000245: 6202 50163 REGUP INDEX MODE # MOST ALL OP CODES PUSHUP HERE. 049107,000246: 6203 46213 CS NO.WDS 049108,000247: 6204 26166 +2 ADS PUSHLOC 049109,000248: 6205 54116 TS ADDRWD 049110,000249: 6206 50020 ITR14 INDEX CYR 049111,000250: 6207 76242 7 INDJUMP -1 # (THE INDEX MAKES THIS A TCF.) 049112,000251: 049113,000252: 6210 00002 OCT 2 # REVERSE PUSHUP DECREMENT. VECTOR TAKES 2 049114,000253: 6211 00006 REVCNT OCT 6 # WORDS, SCALAR TAKES 6. 049115,000254: 6212 00006 OCT 6 049116,000255: 6213 00002 NO.WDS OCT 2 # CONVENTIONAL DECREMENT IS 6 WORDS VECTOR 049117,000256: 6214 00003 OCTAL3 OCT 3 # 2 IN DP, AND 3 IN TP. 049118,000257: 6215 00006 OCT 6 049119,000258: 049120,000259: # Page 1114 049121,000260: # TEST THE SECOND PREFIX BIT TO SEE IF THIS IS A MISCELLANEOUS OR A UNARY/SHORT SHIFT OPERATION. 049122,000261: 049123,000262: 6216 10020 OPJUMP2 CCS CYR # TEST SECOND PREFIX BIT. 049124,000263: 6217 16232 TCF OPJUMP3 # TEST THIRD BIT TO SEE IF UNARY OR SHIFT 049125,000264: 049126,000265: 6220 77722 -ENDVAC DEC -45 B-14 049127,000266: 049128,000267: # THE FOLLOWING ROUTINE PROCESSES ADDRESSES OF SUFFIX CLASS 10. THEY ARE BASICALLY WORK AREA ADDRESSES 049129,000268: # IN THE RANGE 0-52, ERASABLE ECADR CONSTANTS FROM 100-3777, AND FCADRS ABOVE THAT. ALL 15 BITS ARE AVAILABLE 049130,000269: # IN CONTRAST TO SUFFIX 1, IN WHICH ONLY THE LOW ORDER 14 ARE AVAILABLE. 049131,000270: 049132,000271: 6221 24164 15BITADR INCR LOC # (ENTRY HERE FROM STCALL). 049133,000272: 6222 50164 INDEX LOC # PICK UP ADDRESS WORD. 049134,000273: 6223 30000 CA 0 049135,000274: 6224 54117 TS POLISH # WE MAY NEED A SUBADDRESS LATER. 049136,000275: 049137,000276: 6225 35055 CAF LOW7+2K # THESE INSTRUCTIONS ARE IN BANK 1. 049138,000277: 6226 54004 TS FBANK 049139,000278: 6227 70020 MASK CYR 049140,000279: 6230 50000 ITR7 INDEX A 049141,000280: 6231 16303 TCF MISCJUMP 049142,000281: 049143,000282: # Page 1115 049144,000283: # COMPLETE THE DISPATCHING OF UNARY AND SHORT SHIFT OPERATIONS. 049145,000284: 049146,000285: 6232 54004 OPJUMP3 TS FBANK # CALL IN BANK 0 (BIT5S 11-15 OF A ARE 0.) 049147,000286: 049148,000287: 6233 10020 CCS CYR # TEST THIRD PREFIX BIT. 049149,000288: 6234 50000 INDEX A # THE DECREMENTED UNARY CODE IS IN BITS 049150,000289: 6235 12000 TCF UNAJUMP # 1-4 OF A (ZERO, EXIT, HAS BEEN DETECTED) 049151,000290: 049152,000291: 6236 10163 CCS MODE # IT'S A SHORT SHIFT CODE. SEE IF PRESENT 049153,000292: 6237 12017 TCF SHORTT # SCALAR OR VECTOR. 049154,000293: 6240 12017 TCF SHORTT 049155,000294: 6241 12121 TCF SHORTV # CALLS THE APPROPRIATE ROUTINE. 049156,000295: 049157,000296: 6242 4364 FBANKMSK EQUALS BANKMASK 049158,000297: 6242 00122 LVBUF ADRES VBUF 049159,000298: 049160,000299: # Page 1116 049161,000300: # THE FOLLOWING IS THE JUMP TABLE FOR OP CODES WHICH MAY HAVE INDEXABLE ADDRESSES OR MAY PUSH UP. 049162,000301: 049163,000302: 6243 16454 INDJUMP TCF VLOAD # 00 -- LOAD MPAC WITH A VECTOR. 049164,000303: 6244 17040 TCF TAD # 01 -- TRIPLE PRECISION ADD TO MPAC. 049165,000304: 6245 17624 TCF SIGN # 02 -- COMPLEMENT MPAC (V OR SC) IF X NEG. 049166,000305: 6246 17350 TCF VXSC # 03 -- VECTOR TIMES SCALAR. 049167,000306: 6247 16652 TCF CGOTO # 04 -- COMPUTED GO TO. 049168,000307: 6250 16437 TCF TLOAD # 05 -- LOAD MPAC WITH TRIPLE PRECISION. 049169,000308: 6251 16021 TCF DLOAD # 06 -- LOAD MPAC WITH A DP SCALAR. 049170,000309: 6252 17573 TCF V/SC # 07 -- VECTOR DIVIDED BY A SCALAR. 049171,000310: 049172,000311: 6253 16450 TCF SLOAD # 10 -- LOAD MPAC IN SINGLE PRECISION. 049173,000312: 6254 16567 TCF SSP # 11 -- SET SINGLE PRECISION INTO X. 049174,000313: 6255 16472 TCF PDDL # 12 -- PUSH DOWN MPAC AND RE-LOAD IN DP. 049175,000314: 6256 17303 TCF MXV # 13 -- MATRIX POST-MULTIPLIED BY VECTOR. 049176,000315: 6257 16526 TCF PDVL # 14 -- PUSH DOWN AND VECTORLOAD. 049177,000316: 6260 16575 TCF CCALL # 15 -- COMPUTED CALL. 049178,000317: 6261 17306 TCF VXM # 16 -- MATRIX PRE-MULTIPLIED BY VECTOR. 049179,000318: 6262 17565 TCF TSLC # 17 -- NORMALIZE MPAC (SCALAR ONLY). 049180,000319: 049181,000320: 6263 17543 TCF DMPR # 20 -- DP MULTIPLY AND ROUND. 049182,000321: 6264 17546 TCF DDV # 21 -- DP DIVIDE BY. 049183,000322: 6265 17552 TCF BDDV # 22 -- DP DIVIDE INTO. 049184,000323: 6266 17570 TCF GSHIFT # 23 -- GENERAL SHIFT INSTRUCTION 049185,000324: 6267 16720 TCF VAD # 24 -- VECTOR ADD. 049186,000325: 6270 16716 TCF VSU # 25 -- VECTOR SUBTRACT. 049187,000326: 6271 17005 TCF BVSU # 26 -- VECTOR SUBTRACT FROM. 049188,000327: 6272 17300 TCF DOT # 27 -- VECTOR DOT PRODUCT. 049189,000328: 049190,000329: 6273 17427 TCF VXV # 30 -- VECTOR CROSS PRODUCT. 049191,000330: 6274 17374 TCF VPROJ # 31 -- VECTOR PROJECTION. 049192,000331: 6275 16754 TCF DSU # 32 -- DP SUBTRACT. 049193,000332: 6276 17031 TCF BDSU # 33 -- DP SUBTRACT FROM. 049194,000333: 6277 16744 TCF DAD # 34 -- DP ADD. 049195,000334: 6300 16300 TCF +0 # 35 -- AVAILABLE 049196,000335: 6301 17541 TCF DMP1 # 36 -- DP MULTIPLY. 049197,000336: 6302 17562 TCF SETPD # 37 -- SET PUSH DOWN POINTER (DIRECT ONLY) 049198,000337: 049199,000338: # CODES 10 AND 14 MUST NOT PUSH UP. CODE 04 MAY BE USED FOR VECTOR DECLARE BEFORE PUSHUP IF DESIRED. 049200,000339: 049201,000340: # Page 1117 049202,000341: # THE FOLLOWING JUMP TABLE APPLIES TO INDEX, BRANCH, AND MISCELLANEOUS INSTRUCTIONS. 049203,000342: 049204,000343: 6303 12371 MISCJUMP TCF AXT # 00 -- ADDRESS TO INDEX TRUE. 049205,000344: 6304 12376 TCF AXC # 01 -- ADDRESS TO INDEX COMPLEMENTED. 049206,000345: 6305 12401 TCF LXA # 02 -- LOAD INDEX FROM ERASABLE. 049207,000346: 6306 12405 TCF LXC # 03 -- LOAD INDEX FROM COMPLEMENT OF ERAS. 049208,000347: 6307 12411 TCF SXA # 04 -- STORE INDEX IN ERASABLE. 049209,000348: 6310 12417 TCF XCHX # 05 -- EXCHANGE INDEX WITH ERASABLE. 049210,000349: 6311 12433 TCF INCR # 06 -- INCREMENT INDEX REGISTER. 049211,000350: 6312 12442 TCF TIX # 07 -- TRANSFER ON INDEX. 049212,000351: 049213,000352: 6313 12425 TCF XAD # 10 -- INDEX REGISTER ADD FROM ERASABLE. 049214,000353: 6314 12436 TCF XSU # 11 -- INDEX SUBTRACT FROM ERASABLE. 049215,000354: 6315 12514 TCF BZE/GOTO # 12 -- BRANCH ZERO AND GOTO 049216,000355: 6316 12521 TCF BPL/BMN # 13 -- BRANCH PLUS AND BRANCH MINUS. 049217,000356: 6317 12474 TCF RTB/BHIZ # 14 -- RETURN TO BASIC AND BRANCH HI ZERO. 049218,000357: 6320 12534 TCF CALL/ITA # 15 -- CALL AND STORE QPRET. 049219,000358: 6321 12543 TCF SW/ # 16 -- SWITCH INSTRUCTIONS AND AVAILABLE. 049220,000359: 6322 12504 TCF BOV(B) # 17 -- BRANCH ON OVERFLOW TO BASIC OR INT. 049221,000360: 049222,000361: # Page 1118 049223,000362: # THE FOLLOWING JUMP TABLE APPLIES TO UNARY INSTRUCTIONS 049224,000363: 6323 COUNT* $$/INTER 049225,000364: 00,2000 BANK 0 # 00 -- EXIT -- DETECTED EARLIER. 049226,000365: 00,2000 13207 UNAJUMP TCF SQRT # 01 -- SQUARE ROOT. 049227,000366: 00,2001 13527 TCF SINE # 02 -- SIN. 049228,000367: 00,2002 13516 TCF COSINE # 03 -- COS. 049229,000368: 00,2003 13607 TCF ARCSIN # 04 -- ARC SIN. 049230,000369: 00,2004 13611 TCF ARCCOS # 05 -- ARC COS. 049231,000370: 00,2005 13174 TCF DSQ # 06 -- DP SQUARE. 049232,000371: 00,2006 12116 TCF ROUND # 07 -- ROUND TO DP. 049233,000372: 049234,000373: 00,2007 17637 TCF COMP # 10 -- COMPLEMENT VECTOR OR SCALAR 049235,000374: 00,2010 13232 TCF VDEF # 11 -- VECTOR DEFINE. 049236,000375: 00,2011 13023 TCF UNIT # 12 -- UNIT VECTOR. 049237,000376: 00,2012 13176 TCF ABVALABS # 13 -- LENGTH OF VECTOR OR MAG OF SCALAR. 049238,000377: 00,2013 13245 TCF VSQ # 14 -- SQUARE OF LENGTH OF VECTOR. 049239,000378: 00,2014 16323 TCF STADR # 15 -- PUSH UP ON STORE CODE. 049240,000379: 00,2015 13274 TCF RVQ # 16 -- RETURN VIA QPRET. 049241,000380: 00,2016 13247 TCF PUSH # 17 -- PUSH MPAC DOWN. 049242,000381: 049243,000382: # Page 1119 049244,000383: # SECTION 2 LOAD AND STORE PACKAGE. 049245,000384: 049246,000385: # A SET OF EIGHT STORE CODES IS PROVIDED AS THE PRIMARY METHOD OF STORING THE MULTI-PURPOSE 049247,000386: # ACCUMULATOR (MPAC). IF IN THE DANZIG SECTION LOC REFERS TO AN ALGEBRAICALLY POSITIVE WORD, IT IS TAKEN AS A 049248,000387: # STORE CODE WITH A CORRESPONDING ERASABLE ADDRESS. MOST OF THESE CODES ARE TWO ADDRESS, SPECIFYING THAT THE WORD 049249,000388: # FOLLOWING THE STORE CODE IS TO BE USED AS AN ADDRESS FROM WHICH TO RE-LOAD MPAC. FOUR OPTIONS ARE AVAILABLE: 049250,000389: 049251,000390: # 1. STORE STORE MPAC. THE E ADDRESS MAY BE INDEXED. 049252,000391: # 2. STODL STORE MPAC AND RE-LOAD IT IN DP WITH THE NEXT ADDRESS (THE LOAD MAY BE INDEXED). 049253,000392: # 3. STOVL STORE MPAC AND RE-LOAD A VECTOR (AS ABOVE). 049254,000393: # 4. STCALL STORE AND DO A CALL (BOTH ADDRESSES MUST BE DIRECT HERE). 049255,000394: 049256,000395: # STODL AND STOVL WILL TAKE FROM THE PUSH-DOWN LIST IF NO LOAD ADDRESS IS GIVEN. 049257,000396: 049258,000397: 6323 BLOCK 3 049259,000398: 049260,000399: 6323 COUNT 03/INTER 049261,000400: 049262,000401: 6323 30165 STADR CA BANKSET # THE STADR CODE (PUSHUP UP ON STORE 049263,000402: 6324 54004 TS FBANK # ADDRESS) ENTERS HERE. 049264,000403: 6325 24164 INCR LOC 049265,000404: 6326 50164 ITR1 INDEX LOC # THE STORECODE WAS STORED COMPLEMENTED TO 049266,000405: 6327 40000 CS 0 # MAKE IT LOOK LIKE AN OPCODE PAIR. 049267,000406: 6330 67716 AD NEGONE # (YUL CAN'T REMOVE 1 BECAUSE OF EARLY CCS) 049268,000407: 049269,000408: 6331 54116 DOSTORE TS ADDRWD 049270,000409: 6332 74372 MASK LOW11 # ENTRY FROM DISPATCHER. SAVE THE ARASABLE 049271,000410: 6333 56116 XCH ADDRWD # ADDRESS AND JUMP ON THE STORE CODE NO. 049272,000411: 6334 77671 MASK B12T14 049273,000412: 6335 00006 EXTEND 049274,000413: 6336 75013 MP BIT5 # EACH TRANSFER VECTOR ENTRY IS TWO WORDS. 049275,000414: 6337 50000 ITR0 INDEX A 049276,000415: 6340 16341 TCF STORJUMP 049277,000416: 049278,000417: # Page 1120 049279,000418: # STORE CODE JUMP TABLE. CALLS THE APPROPRIATE STORING ROUTINE AND EXITS TO DANZIG OR TO ADDRESS WITH 049280,000419: # A SUPPLIED OPERATION CODE. 049281,000420: 049282,000421: # STORE STORE,1 AND STORE,2 RETURN TO DANZIG, THUS RESETTING THE EBANK TO ITS STATE AT INTPRET. 049283,000422: 049284,000423: 6341 06371 STORJUMP TC STORE # STORE. 049285,000424: 6342 16030 TCF DANZIG # PICK UP NEW OP CODE(S). 049286,000425: 6343 06363 TC STORE,1 049287,000426: 6344 16030 TCF DANZIG 049288,000427: 6345 06366 TC STORE,2 049289,000428: 6346 16030 TCF DANZIG 049290,000429: 049291,000430: 6347 06371 TC STORE # STODL. 049292,000431: 6350 16427 TCF DODLOAD 049293,000432: 049294,000433: 6351 06371 TC STORE # STODL WITH INDEXED LOAD ADDRESS. 049295,000434: 6352 16113 TCF DODLOAD* 049296,000435: 049297,000436: 6353 06371 TC STORE # STOVL. 049298,000437: 6354 16432 TCF DOVLOAD 049299,000438: 049300,000439: 6355 06371 TC STORE # STOVL WITH INDEXED LOAD ADDRESS. 049301,000440: 6356 16435 TCF DOVLOAD* 049302,000441: 6357 06371 TC STORE # STOTC. 049303,000442: 6360 35030 CAF CALLCODE 049304,000443: 6361 54020 TS CYR 049305,000444: 6362 16221 TCF 15BITADR # GET A 15 BIT ADDRESS. 049306,000445: 049307,000446: # Page 1121 049308,000447: # STORE CODE ADDRESS PROCESSOR. 049309,000448: 049310,000449: 6363 50120 STORE,1 INDEX FIXLOC 049311,000450: 6364 40046 CS X1 049312,000451: 6365 16370 TCF PRESTORE 049313,000452: 049314,000453: 6366 50120 STORE,2 INDEX FIXLOC 049315,000454: 6367 40047 CS X2 049316,000455: 6370 26116 PRESTORE ADS ADDRWD # RESULTANT ADDRESS IS IN ERASABLE. 049317,000456: 049318,000457: 6371 40116 STORE CS ADDRWD 049319,000458: 6372 65034 AD DEC45 049320,000459: 6373 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA? 049321,000460: 6374 30120 CA FIXLOC # YES. 049322,000461: 6375 16402 TCF AHEAD5 049323,000462: 6376 35051 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS. 049324,000463: 6377 56116 XCH ADDRWD 049325,000464: 6400 54003 TS EBANK 049326,000465: 6401 74373 MASK LOW8 049327,000466: 6402 26116 AHEAD5 ADS ADDRWD 049328,000467: 049329,000468: # Page 1122 049330,000469: # STORING ROUTINES. STORE DP, TP, OR VECTOR AS INDICATED BY MODE. 049331,000470: 049332,000471: 6403 00006 STARTSTO EXTEND # MPAC,+1 MUST BE STORED IN ANY EVENT. 049333,000472: # ITRACE (5) REFERS TO "STARTSTO". 049334,000473: 6404 30155 DCA MPAC 049335,000474: 6405 50116 INDEX ADDRWD 049336,000475: 6406 52001 DXCH 0 049337,000476: 049338,000477: 6407 10163 CCS MODE 049339,000478: 6410 16423 TCF TSTORE 049340,000479: 6411 00002 TC Q 049341,000480: 049342,000481: 6412 00006 VSTORE EXTEND 049343,000482: 6413 30160 DCA MPAC +3 049344,000483: 6414 50116 INDEX ADDRWD 049345,000484: 6415 52003 DXCH 2 049346,000485: 049347,000486: 6416 00006 EXTEND 049348,000487: 6417 30162 DCA MPAC +5 049349,000488: 6420 50116 INDEX ADDRWD 049350,000489: 6421 52005 DXCH 4 049351,000490: 6422 00002 TC Q 049352,000491: 049353,000492: 6423 30156 TSTORE CA MPAC +2 049354,000493: 6424 50116 INDEX ADDRWD 049355,000494: 6425 54002 TS 2 049356,000495: 6426 00002 TC Q 049357,000496: 049358,000497: # Page 1123 049359,000498: # ROUTINES TO BEGIN PROCESSING OF THE SECOND ADDRESS ASSOCIATED WITH ALL STORE-TYPE CODES EXCEPT STORE 049360,000499: # ITSELF. 049361,000500: 049362,000501: 6427 37701 DODLOAD CAF DLOADCOD 049363,000502: 6430 54020 TS CYR 049364,000503: 6431 16055 TCF DIRADRES # GO GET A DIRECT ADDRESS. 049365,000504: 049366,000505: 6432 35001 DOVLOAD CAF VLOADCOD 049367,000506: 6433 54020 TS CYR 049368,000507: 6434 16055 TCF DIRADRES 049369,000508: 049370,000509: 6435 36056 DOVLOAD* CAF VLOAD* 049371,000510: 6436 16114 TCF DODLOAD* +1 # PROLOGUE TO INDEX ROUTINE. 049372,000511: 049373,000512: # Page 1124 049374,000513: # THE FOLLOWING LOAD INSTRUCTIONS ARE PROVIDED FOR LOADING THE MULTI-PURPOSE ACCUMULATOR MPAC. 049375,000514: 049376,000515: 6437 50116 TLOAD INDEX ADDRWD 049377,000516: 6440 30002 CA 2 # LOAD A TRIPLE PRECISION ARGUMENT INTO 049378,000517: 6441 54156 TS MPAC +2 # THE FIRST THREE MPAC REGISTERS, WITH THE 049379,000518: 6442 00006 EXTEND # CONTENTS OF THE OTHER FOUR IRRELEVANT. 049380,000519: 6443 50116 INDEX ADDRWD 049381,000520: 6444 30001 DCA 0 049382,000521: 6445 52155 DXCH MPAC 049383,000522: 6446 35017 TMODE CAF ONE 049384,000523: 6447 16027 TCF NEWMODE # DECLEARE TRIPLE PRECISION MODE. 049385,000524: 049386,000525: 6450 22007 SLOAD ZL # LOAD A SINGLE PRECISION NUMBER INTO 049387,000526: 6451 50116 INDEX ADDRWD # MPAC, SETTING MPAC+1,2 TO ZERO. THE 049388,000527: 6452 30000 CA 0 # CONTENTS OF THE REMAINING MPAC REGISTERS 049389,000528: 6453 16024 TCF SLOAD2 # ARE IRRELEVANT. 049390,000529: 049391,000530: 6454 00006 VLOAD EXTEND # LOAD A DOUBLE PRECISION VECTOR INTO 049392,000531: 6455 50116 INDEX ADDRWD # MPAC,+1, MPAC+3,4, AND MPAC+5,6. THE 049393,000532: 6456 30001 DCA 0 # CONTENTS OF MPAC +2 ARE IRRELEVANT. 049394,000533: 6457 52155 DXCH MPAC 049395,000534: 049396,000535: 6460 00006 ENDVLOAD EXTEND # PDVL COMES HERE TO FINISH UP FOR DP, TP. 049397,000536: 6461 50116 INDEX ADDRWD 049398,000537: 6462 30003 DCA 2 049399,000538: 6463 52160 DXCH MPAC +3 049400,000539: 049401,000540: 6464 00006 +4 EXTEND # TPDVL FINISHES HERE. 049402,000541: 6465 50116 INDEX ADDRWD 049403,000542: 6466 30005 DCA 4 049404,000543: 6467 52162 DXCH MPAC +5 049405,000544: 049406,000545: 6470 45017 VMODE CS ONE # DECLARE VECTOR MODE. 049407,000546: 6471 16027 TCF NEWMODE 049408,000547: 049409,000548: # Page 1125 049410,000549: # THE FOLLOWING INSTRUCTIONS ARE PROVIDED FOR STORING OPERANDS IN THE PUSHDOWN LIST: 049411,000550: # 1. PUSH PUSHDOWN AND NO LOAD. 049412,000551: # 2. PDDL PUSHDOWN AND DOUBLE PRECISION LOAD. 049413,000552: # 3. PDVL PUSHDOWN AND VECTOR LOAD. 049414,000553: 049415,000554: 6472 00006 PDDL EXTEND 049416,000555: 6473 50116 INDEX ADDRWD # LOAD MPAC,+1, PUSHING THE FORMER 049417,000556: 6474 30001 DCA 0 # CONTENTS DOWN. 049418,000557: 6475 52155 DXCH MPAC 049419,000558: 6476 50166 INDEX PUSHLOC 049420,000559: 6477 52001 DXCH 0 049421,000560: 049422,000561: 6500 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER APPRO- 049423,000562: 6501 36213 CAF NO.WDS # PRIATELY. 049424,000563: 6502 26166 ADS PUSHLOC 049425,000564: 049426,000565: 6503 10163 CCS MODE 049427,000566: 6504 16521 TCF ENDTPUSH 049428,000567: 6505 16517 TCF ENDDPUSH 049429,000568: 049430,000569: 6506 54163 TS MODE # NOW DP. 049431,000570: 6507 54156 ENDVPUSH TS MPAC +2 049432,000571: 6510 52160 DXCH MPAC +3 # PUSH DOWN THE REST OF THE VECTOR HERE. 049433,000572: 6511 50166 INDEX PUSHLOC 049434,000573: 6512 51775 DXCH 0 -4 049435,000574: 049436,000575: 6513 52162 DXCH MPAC +5 049437,000576: 6514 50166 INDEX PUSHLOC 049438,000577: 6515 51777 DXCH 0 -2 049439,000578: 049440,000579: 6516 16030 TCF DANZIG 049441,000580: 049442,000581: 6517 54156 ENDDPUSH TS MPAC +2 # SET MPAC +2 TO ZERO AND EXIT ON DP. 049443,000582: 6520 16030 TCF DANZIG 049444,000583: 049445,000584: 6521 54163 ENDTPUSH TS MODE 049446,000585: 6522 56156 XCH MPAC +2 # ON TRIPLE, SET MPAC +2 TO ZERO, PUSHING 049447,000586: 6523 50166 +2 INDEX PUSHLOC # DOWN THE OLD CONTENTS 049448,000587: 6524 53777 TS 0 -1 049449,000588: 6525 16030 TCF DANZIG 049450,000589: 049451,000590: # Page 1126 049452,000591: # PDVL -- PUSHDOWN AND VECTOR LOAD 049453,000592: 049454,000593: 6526 00006 PDVL EXTEND # RELOAD MPAC AND PUSH DOWN ITS CONTENTS. 049455,000594: 6527 50116 INDEX ADDRWD 049456,000595: 6530 30001 DCA 0 049457,000596: 6531 52155 DXCH MPAC 049458,000597: 6532 50166 INDEX PUSHLOC 049459,000598: 6533 52001 DXCH 0 049460,000599: 049461,000600: 6534 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER. 049462,000601: 6535 36213 CAF NO.WDS 049463,000602: 6536 26166 ADS PUSHLOC 049464,000603: 049465,000604: 6537 10163 CCS MODE # TEST PAST MODE. 049466,000605: 6540 16557 TCF TPDVL 049467,000606: 6541 16460 TCF ENDVLOAD # JUST LOAD LAST FOUR REGISTERS ON DP. 049468,000607: 049469,000608: 6542 00006 VPDVL EXTEND # PUSHDOWN AND RE-LOAD LAST TWO COMPONENTS 049470,000609: 6543 50116 INDEX ADDRWD 049471,000610: 6544 30003 DCA 2 049472,000611: 6545 52160 DXCH MPAC +3 049473,000612: 6546 50166 INDEX PUSHLOC 049474,000613: 6547 51775 DXCH 0 -4 049475,000614: 049476,000615: 6550 00006 EXTEND 049477,000616: 6551 50116 INDEX ADDRWD 049478,000617: 6552 30005 DCA 4 049479,000618: 6553 52162 DXCH MPAC +5 049480,000619: 6554 50166 INDEX PUSHLOC 049481,000620: 6555 51777 DXCH 0 -2 049482,000621: 049483,000622: 6556 16030 TCF DANZIG 049484,000623: 049485,000624: 6557 00006 TPDVL EXTEND # ON TP, WE MUST LOAD THE Y COMPONENT 049486,000625: 6560 50116 INDEX ADDRWD # BEFORE STORING MPAC +2 IN CASE THIS IS A 049487,000626: 6561 30003 DCA 2 # PUSHUP. 049488,000627: 6562 52160 DXCH MPAC +3 049489,000628: 049490,000629: 6563 30156 CA MPAC +2 049491,000630: 6564 50166 INDEX PUSHLOC # IN DP. 049492,000631: 6565 53777 TS 0 -1 049493,000632: 6566 16464 TCF ENDVLOAD +4 049494,000633: 049495,000634: # SSP (STORE SINGLE PRECISION) IS EXECUTED HERE. 049496,000635: 049497,000636: 6567 24164 SSP INCR LOC # PICK UP THE WORD FOLLOWING THE GIVEN 049498,000637: 6570 50164 INDEX LOC # ADDRESS AND STORE IT AT X. 049499,000638: 6571 30000 CA 0 049500,000639: 6572 50116 STORE1 INDEX ADDRWD # SOME INDEX AND MISCELLANEOUS OPS END 049501,000640: 6573 54000 TS 0 # HERE. 049502,000641: # Page 1127 049503,000642: 6574 16030 TCF DANZIG 049504,000643: 049505,000644: # Page 1128 049506,000645: # SEQUENCE CHANGING AND SUBROUTINE CALLING OPTIONS. 049507,000646: 049508,000647: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR SEQUENCING CHANGING, BRANCHING, AND CALLING SUBROUTINES: 049509,000648: # 1. GOTO GO TO. 049510,000649: # 2. CALL CALL SUBROUTINE SETTING QPRET. 049511,000650: # 3. CGOTO COMPUTED GO TO. 049512,000651: # 4. CCALL COMPUTED CALL. 049513,000652: # 7. BPL BRANCH IF MPAC POSITIVE OR ZERO. 049514,000653: # 8. BZE BRANCH IF MPAC ZERO. 049515,000654: # 9. BMN BRANCH IF MPAC NEGATIVE NON-ZERO. 049516,000655: 049517,000656: 6575 24164 CCALL INCR LOC # MAINTAIN LOC FOR QPRET COMPUTATION 049518,000657: 6576 50164 INDEX LOC 049519,000658: 6577 30000 CAF 0 # GET BASE ADDRESS OF CADR LIST. 049520,000659: 6600 50116 INDEX ADDRWD 049521,000660: 6601 60000 AD 0 # ADD INCREMENT. 049522,000661: 6602 54004 TS FBANK # SELECT DESIRED CADR. 049523,000662: 6603 75054 MASK LOW10 049524,000663: 6604 50000 INDEX A 049525,000664: 6605 32000 CAF 10000 049526,000665: 6606 54117 TS POLISH 049527,000666: 049528,000667: 6607 30165 CALL CA BANKSET # FOR ANY OF THE CALL OPTIONS, MAKE UP THE 049529,000668: 6610 74364 MASK BANKMASK # ADDRESS OF THE NEXT OP-CODE PAIR/STORE 049530,000669: 6611 64364 AD BANKMASK # CODE AND LEAVE IT IN QPRET. NOTE THAT 049531,000670: 6612 60164 AD LOC # BANKMASK = -(2000 - 1). 049532,000671: 6613 50120 INDEX FIXLOC 049533,000672: 6614 54052 TS QPRET 049534,000673: 049535,000674: 6615 30117 GOTO CA POLISH # BASIC BRANCHING SEQUENCE. 049536,000675: 6616 77711 +1 MASK HIGH4 049537,000676: 6617 00006 EXTEND 049538,000677: 6620 16631 BZF GOTOERS # SEE IF ADDRESS POINTS TO FIXED OR ERAS. 049539,000678: 6621 30165 +4 CA BANKSET # SET EBANK PART OF BBANK. NEXT, SET UP 049540,000679: 6622 54006 TS BBANK # FBANK. THE COMBINATION IS PICKED UP & 049541,000680: 6623 30117 CA POLISH # PUT INTO BANKSET AT INTPRET +2. 049542,000681: 6624 54004 TS FBANK 049543,000682: 6625 75054 MASK LOW10 049544,000683: 6626 65005 AD 2K 049545,000684: 6627 54164 TS LOC 049546,000685: 6630 16011 TCF INTPRET +3 049547,000686: 049548,000687: 6631 E3,1400 EBANK= 1400 # SO YUL DOESN'T CUSS THE "CA 1400" BELOW. 049549,000688: 049550,000689: 6631 30117 GOTOERS CA POLISH # THE GIVEN ADDRESS IS IN ERASABLE -- SEE 049551,000690: 6632 66220 AD -ENDVAC # IF RELATIVE TO THE WORK ARA. 049552,000691: 6633 10000 CCS A 049553,000692: 6634 30117 CA POLISH # GENERAL ERASABLE. 049554,000693: 6635 16644 TCF GOTOGE 049555,000694: 049556,000695: # Page 1129 049557,000696: 6636 30120 CA FIXLOC # WORK AREA. 049558,000697: 6637 60117 AD POLISH 049559,000698: 6640 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF 049560,000699: 6641 30000 CA 0 # THE BRANCH ADDRESS. 049561,000700: 6642 54117 TS POLISH 049562,000701: 6643 16616 TCF GOTO +1 # ALLOWS ARBITRARY INDIRECTNESS LEVELS. 049563,000702: 049564,000703: 6644 54003 GOTOGE TS EBANK 049565,000704: 6645 74373 MASK LOW8 049566,000705: 6646 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF 049567,000706: 6647 31400 CA 1400 # THE BRANCH ADDRESS. 049568,000707: 6650 54117 TS POLISH 049569,000708: 6651 16616 TCF GOTO +1 049570,000709: 049571,000710: 6652 50164 CGOTO INDEX LOC # COMPUTED GO TO. PICK UP ADDRESS OF CADR 049572,000711: 6653 30001 CA 1 # LIST 049573,000712: 6654 50116 INDEX ADDRWD # ADD MODIFIER. 049574,000713: 6655 60000 AD 0 049575,000714: 6656 54004 TS FBANK # SELECT GOTO ADDRESS 049576,000715: 6657 75054 MASK LOW10 049577,000716: 6660 50000 INDEX A 049578,000717: 6661 32000 CA 10000 049579,000718: 6662 54117 TS POLISH 049580,000719: 6663 16616 TCF GOTO +1 # WITH ADDRESS IN A. 049581,000720: 049582,000721: 6664 30165 SWBRANCH CA BANKSET # SWITCH INSTRUCTIONS WHICH ELECT TO 049583,000722: 6665 54004 TS FBANK # BRANCH COME HERE TO DO SO. 049584,000723: 6666 50164 INDEX LOC 049585,000724: 6667 30001 CA 1 049586,000725: 6670 54117 TS POLISH 049587,000726: 6671 16616 TCF GOTO +1 049588,000727: 049589,000728: # Page 1130 049590,000729: # TRIPLE PRECISION BRANCHING ROUTINE. IF CALLING TC IS AT L, RETURN IS AS FOLLOWS: 049591,000730: # L+1 IF MPAC IS GREATER THAN ZERO. 049592,000731: # L+2 IF MPAC IS EQUAL TO +0 OR -0. 049593,000732: # L+3 IF MPAC IS LESS THAN ZERO. 049594,000733: 049595,000734: 6672 10154 BRANCH CCS MPAC 049596,000735: 6673 00002 TC Q 049597,000736: 6674 16676 TCF +2 # ON ZERO. 049598,000737: 6675 16710 TCF NEG 049599,000738: 049600,000739: 6676 10155 CCS MPAC +1 049601,000740: 6677 00002 TC Q 049602,000741: 6700 16702 TCF +2 049603,000742: 6701 16710 TCF NEG 049604,000743: 049605,000744: 6702 10156 CCS MPAC +2 049606,000745: 6703 00002 TC Q 049607,000746: 6704 16706 TCF +2 049608,000747: 6705 16710 TCF NEG 049609,000748: 049610,000749: 6706 50002 Q+1 INDEX Q 049611,000750: 6707 00001 TC 1 049612,000751: 049613,000752: 6710 50002 NEG INDEX Q # IF FIRST NON-ZERO REGISTER WAS NEGATIVE. 049614,000753: 6711 00002 TC 2 049615,000754: 049616,000755: 6712 6710 Q+2 = NEG 049617,000756: 049618,000757: # ITRACE (3) REFERS TO "EXIT". 049619,000758: 049620,000759: 6712 30165 EXIT CA BANKSET # RESTORE USER'S BANK SETTING, AND LEAVE 049621,000760: 6713 54006 TS BBANK # INTERPRETIVE MODE. 049622,000761: 6714 50164 INDEX LOC 049623,000762: 6715 00001 TC 1 049624,000763: 049625,000764: # Page 1131 049626,000765: # SECTION 3 -- ADD/SUBTRACT PACKAGE. 049627,000766: 049628,000767: # THE FOLLOWING OPERATIONS ARE PROVIDED FOR ADDING TO AND SUBTRACTING FROM THE MULTI-PURPOSE ACCUMULATOR 049629,000768: # MPAC: 049630,000769: # 1. DAD DOUBLE PRECISION ADD. 049631,000770: # 2. DSU DOUBLE PRECISION SUBTRACT. 049632,000771: # 3. BDSU DOUBLE PRECISION SUBTRACT FROM. 049633,000772: # 4. TAD TRIPLE PRECISION ADD. 049634,000773: # 5. VAD VECTOR ADD. 049635,000774: # 6. VSU VECTOR SUBTRACT. 049636,000775: # 7. BVSU VECTOR SUBTRACT FROM. 049637,000776: # THE INTERPRETIVE OVERFLOW INDICATOR OVFIND IS SET NON-ZERO IF OVERFLOW OCCURS IN ANY OF THE ABOVE. 049638,000777: 049639,000778: 6716 35001 VSU CAF BIT15 # CHANGES 0 TO DCS. 049640,000779: 6717 16721 TCF +2 049641,000780: 049642,000781: 6720 34371 VAD CAF PRIO30 # CHANGES 0 TO DCA. 049643,000782: 6721 26116 ADS ADDRWD 049644,000783: 6722 00006 EXTEND 049645,000784: 6723 50116 INDEX ADDRWD 049646,000785: 6724 00003 READ HISCALAR # DCA 2 OR DCS 2 049647,000786: 6725 20160 DAS MPAC +3 049648,000787: 6726 00006 EXTEND # CHECK OVERFLOW. 049649,000788: 6727 16731 BZF +2 049650,000789: 6730 06763 TC OVERFLWY 049651,000790: 049652,000791: 6731 00006 EXTEND 049653,000792: 6732 50116 INDEX ADDRWD 049654,000793: 6733 00005 READ CHAN5 # DCA 4 OR DCS 4 049655,000794: 6734 20162 DAS MPAC +5 049656,000795: 6735 00006 EXTEND 049657,000796: 6736 16740 BZF +2 049658,000797: 6737 06760 TC OVERFLWZ 049659,000798: 049660,000799: 6740 00006 EXTEND 049661,000800: 6741 50116 INDEX ADDRWD 049662,000801: 6742 00001 READ LCHAN # DCA 0 OR DCS 0 049663,000802: 6743 16747 TCF ENDVXV 049664,000803: 049665,000804: 6744 00006 DAD EXTEND 049666,000805: 6745 50116 INDEX ADDRWD 049667,000806: 6746 30001 DCA 0 049668,000807: 6747 20155 ENDVXV DAS MPAC # VXV FINISHES HERE. 049669,000808: 6750 00006 EXTEND 049670,000809: 6751 16030 BZF DANZIG 049671,000810: 049672,000811: # Page 1132 049673,000812: 6752 06766 SETOVF TC OVERFLOW 049674,000813: 6753 16030 TCF DANZIG 049675,000814: 049676,000815: # Page 1133 049677,000816: 6754 00006 DSU EXTEND 049678,000817: 6755 50116 INDEX ADDRWD 049679,000818: 6756 40001 DCS 0 049680,000819: 6757 16747 TCF ENDVXV 049681,000820: 049682,000821: 6760 54001 OVERFLWZ TS L # ENTRY FOR THIRD COMPONENT. 049683,000822: 6761 35022 CAF FIVE 049684,000823: 6762 16765 TCF +3 049685,000824: 049686,000825: 6763 54001 OVERFLWY TS L # ENTRY FOR SECOND COMPONENT. 049687,000826: 6764 36214 CAF THREE 049688,000827: 6765 56001 XCH L 049689,000828: 049690,000829: 6766 50000 OVERFLOW INDEX A # ENTRY FOR 1ST COMP OR DP (L=0). 049691,000830: 6767 45000 CS LIMITS # PICK UP POSMAX OR NEGMAX. 049692,000831: 6770 54130 TS BUF 049693,000832: 6771 00006 EXTEND 049694,000833: 6772 24000 AUG A 049695,000834: 6773 50001 INDEX L 049696,000835: 6774 26155 ADS MPAC +1 049697,000836: 6775 54007 TS 7 049698,000837: 6776 35021 CAF ZERO 049699,000838: 6777 60130 AD BUF 049700,000839: 7000 50001 INDEX L 049701,000840: 7001 26154 ADS MPAC 049702,000841: 7002 54007 TS 7 049703,000842: 7003 00002 TC Q # NO OVERFLOW EXIT. 049704,000843: 7004 17121 TCF SETOVF2 # SET OVFIND AND EXIT. 049705,000844: 049706,000845: 7005 00006 BVSU EXTEND 049707,000846: 7006 50116 INDEX ADDRWD 049708,000847: 7007 30003 DCA 2 049709,000848: 7010 52160 DXCH MPAC +3 049710,000849: 7011 00006 EXTEND 049711,000850: 7012 40001 DCOM 049712,000851: 7013 20160 DAS MPAC +3 049713,000852: 7014 00006 EXTEND 049714,000853: 7015 17017 BZF +2 049715,000854: 7016 06763 TC OVERFLWY 049716,000855: 049717,000856: 7017 00006 EXTEND 049718,000857: 7020 50116 INDEX ADDRWD 049719,000858: 7021 30005 DCA 4 049720,000859: 7022 52162 DXCH MPAC +5 049721,000860: 7023 00006 EXTEND 049722,000861: 7024 40001 DCOM 049723,000862: 7025 20162 DAS MPAC +5 049724,000863: 7026 00006 EXTEND 049725,000864: 7027 17031 BZF +2 049726,000865: 7030 06760 TC OVERFLWZ 049727,000866: 049728,000867: # Page 1134 049729,000868: 7031 00006 BDSU EXTEND 049730,000869: 7032 50116 INDEX ADDRWD 049731,000870: 7033 30001 DCA 0 049732,000871: 7034 52155 DXCH MPAC 049733,000872: 7035 00006 EXTEND 049734,000873: 7036 40001 DCOM 049735,000874: 7037 16747 TCF ENDVXV 049736,000875: 049737,000876: # Page 1135 049738,000877: # TRIPLE PRECISION ADD ROUTINE. 049739,000878: 049740,000879: 7040 00006 TAD EXTEND 049741,000880: 7041 50116 INDEX ADDRWD 049742,000881: 7042 30002 DCA 1 # ADD MINOR PARTS FIRST. 049743,000882: 7043 20156 DAS MPAC +1 049744,000883: 7044 50116 INDEX ADDRWD 049745,000884: 7045 60000 AD 0 049746,000885: 7046 60154 AD MPAC 049747,000886: 7047 54154 TS MPAC 049748,000887: 7050 16030 TCF DANZIG 049749,000888: 049750,000889: 7051 16752 TCF SETOVF # SET OVFIND IF SUCH OCCURS. 049751,000890: 049752,000891: # Page 1136 049753,000892: # ARITHMETIC SUBROUTINES REQUIRED IN FIXED-FIXED. 049754,000893: # 1. DMPSUB DOUBLE PRECISION MULTIPLY, MULTIPLY THE CONTENTS OF MPAC,+1 BY THE DP WORD WHOSE ADDRESS 049755,000894: # IS IN ADDRWD AND LEAVE A TRIPLE-PRECISION RESULT IN MPAC. 049756,000895: # 2. ROUNDSUB ROUND THE TRIPLE PRECISION CONTENTS OF MPAC TO DOUBLE PRECISION. 049757,000896: # 3. DOTSUB TAKE THE DOT PRODUCT OF THE VECTOR IN MPAC AND THE VECTOR WHOSE ADDRESS IS IN ADDRWD 049758,000897: # AND LEAVE THE TRIPLE PRECISION RESULT IN MPAC. 049759,000898: # 4. POLY USING THE CONTENTS OF MPAC AS A DP ARGUMENT, EVALUATE THE POLYNOMIAL WHOSE DEGREE AND 049760,000899: # COEFFICIENTS IMMEDIATELY FOLLOW THE TC POLY INSTRUCTION (SEE ROUTINE FOR DETAILS). 049761,000900: 049762,000901: 7052 50002 DMP INDEX Q # BASIC SUBROUTINE FOR USE BY PINBALL, ETC 049763,000902: 7053 30000 CAF 0 049764,000903: 7054 24002 INCR Q 049765,000904: 7055 54116 -1 TS ADDRWD # (PROLOGUE FOR SETTING ADDRWD.) 049766,000905: 049767,000906: 7056 50116 DMPSUB INDEX ADDRWD # GET MINOR PART OF OPERAND AT C(ADDRWD). 049768,000907: 7057 30001 CA 1 049769,000908: 7060 54156 TS MPAC +2 # THIS WORKS FOR SQUARING MPAC AS WELL. 049770,000909: 7061 35021 CAF ZERO # SET MPAC +1 TO ZERO SO WE CAN ACCUMULATE 049771,000910: 7062 56155 XCH MPAC +1 # THE PARTIAL PRODUCTS WITH DAS 049772,000911: 7063 54135 TS MPTEMP # INSTRUCTIONS. 049773,000912: 7064 00006 EXTEND 049774,000913: 7065 70156 MP MPAC +2 # MINOR OF MPAC X MINOR OF C(ADDRWD). 049775,000914: 049776,000915: 7066 56156 XCH MPAC +2 # DISCARD MINOR PART OF ABOVE RESULT AND 049777,000916: 7067 00006 EXTEND # FORM MAJOR OF MPAC X MINOR OF C(ADDRWD). 049778,000917: 7070 70154 MP MPAC 049779,000918: 7071 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW. 049780,000919: 049781,000920: 7072 50116 INDEX ADDRWD # GET MAJOR PART OF ARGUMENT AT C(ADDRWD). 049782,000921: 7073 30000 CA 0 049783,000922: 7074 56135 XCH MPTEMP # SAVE AND BRING OUT MINOR OF MPAC. 049784,000923: 7075 00006 DMPSUB2 EXTEND 049785,000924: 7076 70135 MP MPTEMP # MAJOR OF C(ADDRWD) X MINOR OF MPAC. 049786,000925: 7077 20156 DAS MPAC +1 # ACCUMULATE, SETTING A TO NET OVERFLOW. 049787,000926: 049788,000927: 7100 56154 XCH MPAC # SETTING MPAC TO 0 OR +-1. 049789,000928: 7101 00006 EXTEND 049790,000929: 7102 70135 MP MPTEMP # MAJOR OF MPAC X MAJOR OF C(ADDRWD). 049791,000930: 7103 20155 DAS MPAC # GUARANTEED NO OVERFLOW. 049792,000931: 7104 00002 TC Q # 49 MCT = .573 MS. INCLUDING RETURN. 049793,000932: 049794,000933: # Page 1137 049795,000934: # ROUND MPAC TO DOUBLE PRECISION, SETTING OVFIND ON THE RARE EVENT OF OVERFLOW. 049796,000935: 049797,000936: 7105 35021 ROUNDSUB CAF ZERO # SET MPAC +2 = 0 FOR SCALARS AND CHANGE 049798,000937: 7106 54163 +1 TS MODE # MODE TO DP. 049799,000938: 049800,000939: 7107 56156 VROUND XCH MPAC +2 # BUT WE NEEDN'T TAKE THE TIME FOR VECTORS. 049801,000940: 7110 60000 DOUBLE 049802,000941: 7111 54001 TS L 049803,000942: 7112 00002 TC Q 049804,000943: 049805,000944: 7113 60155 AD MPAC +1 # ADD ROUDING BIT IF MPAC +2 WAS GREATER 049806,000945: 7114 54155 TS MPAC +1 # THAN .5 IN MAGNITUDE. 049807,000946: 7115 00002 TC Q 049808,000947: 049809,000948: 7116 60154 AD MPAC # PROPAGATE INTERFLOW. 049810,000949: 7117 54154 TS MPAC 049811,000950: 7120 00002 TC Q 049812,000951: 049813,000952: 7121 54121 SETOVF2 TS OVFIND # (RARE). 049814,000953: 7122 00002 TC Q 049815,000954: 049816,000955: # Page 1138 049817,000956: # THE DOT PRODUCT SUBROUTINE USUALLY FORMS THE DOT PRODUCT OF THE VECTOR IN MPAC WITH A STANDARD SIX 049818,000957: # REGISTER VECTOR WHOSE ADDRESS IS IN ADDRWD. IN THIS CASE C(DOTINC) ARE SET TO 2. VXM, HOWEVER, SETS C(DOTINC) TO 049819,000958: # 6 SO THAT DOTSUB DOTS MPAC WITH A COLUMN VECTOR OF THE MATRIX IN QUESTION IN THIS CASE. 049820,000959: 049821,000960: 7123 35016 PREDOT CAF TWO # PROLOGUE TO SET DOTINC TO 2. 049822,000961: 7124 54136 TS DOTINC 049823,000962: 049824,000963: 7125 00006 DOTSUB EXTEND 049825,000964: 7126 22137 QXCH DOTRET # SAVE RETURN 049826,000965: 7127 07056 TC DMPSUB # DOT X COMPONENTS. 049827,000966: 7130 52160 DXCH MPAC +3 # POSITION Y COMPONENT OF MPAC FOR 049828,000967: 7131 52155 DXCH MPAC # MULTIPLICATION WHILE SAVING RESULT IN 049829,000968: 7132 52131 DXCH BUF # THREE WORD BUFFER, BUF. 049830,000969: 7133 30156 CA MPAC +2 049831,000970: 7134 54132 TS BUF +2 049832,000971: 049833,000972: 7135 30136 CA DOTINC # ADVANCE ADDRWD TO Y COMPONENT OF 049834,000973: 7136 26116 ADS ADDRWD # OTHER ARGUMENT. 049835,000974: 7137 07056 TC DMPSUB 049836,000975: 7140 52156 DXCH MPAC +1 # ACCUMULATE PARTIAL PRODUCTS. 049837,000976: 7141 20132 DAS BUF +1 049838,000977: 7142 60154 AD MPAC 049839,000978: 7143 60130 AD BUF 049840,000979: 7144 54130 TS BUF 049841,000980: 7145 17147 TCF +2 049842,000981: 7146 54121 TS OVFIND # IF OVERFLOW OCCURS. 049843,000982: 049844,000983: 7147 52162 DXCH MPAC +5 # MULTIPLY Z COMPONENTS. 049845,000984: 7150 52155 DXCH MPAC 049846,000985: 7151 30136 CA DOTINC 049847,000986: 7152 26116 ADS ADDRWD 049848,000987: 7153 07056 TC DMPSUB 049849,000988: 7154 52132 ENDDOT DXCH BUF +1 # LEAVE FINAL ACCUMULATION IN MPAC. 049850,000989: 7155 20156 DAS MPAC +1 049851,000990: 7156 60154 AD MPAC 049852,000991: 7157 60130 AD BUF 049853,000992: 7160 54154 TS MPAC 049854,000993: 7161 00137 TC DOTRET 049855,000994: 049856,000995: 7162 06766 TC OVERFLOW # ON OVERFLOW HERE. 049857,000996: 7163 00137 TC DOTRET 049858,000997: 049859,000998: # Page 1139 049860,000999: # DOUBLE PRECISION POLYNOMIAL EVALUATOR 049861,001000: # N N-1 049862,001001: # THIS ROUTINE EVALUATES A X + A X + ... + A X + A LEAVING THE DP RESULT IN MPAC ON EXIT. 049863,001002: # N N-1 1 0 049864,001003: 049865,001004: # THE ROUTINE HAS TWO ENTRIES 049866,001005: 049867,001006: # 1 ENTRY THRU POWRSERS. THE COEFFICIENTS MAY BE EITHER IN FIXED OR ERASABLE E. THE CALL IS BY 049868,001007: # TC POWRSERS, AND THE RETURN IS TO LOC(TC POWRSERS)+1. THE ENTERING DATA MUST BE AS FOLLOWS: 049869,001008: # A SP LOC-3 ADDRESS FOR REFERENCING COEF TABLE 049870,001009: # L SP N-1 N IS THE DEGREE OF THE POWER SERIES 049871,001010: # MPAC DP X ARGUMENT 049872,001011: # LOC-2N DP A(0) 049873,001012: # ... 049874,001013: # LOC DP A(N) 049875,001014: 049876,001015: # 2. ENTRY THRU POLY. THE CALL TO POLY AND THE ENTERING DATA MUST BE AS FOLLOWS 049877,001016: # MPAC DP X ARGUMENT 049878,001017: # LOC TC POLY 049879,001018: # LOC+1 DP A(0) 049880,001019: # ... 049881,001020: # LOC+2N+2 DP A(N) RETURN IS TO LOC+2N+4 049882,001021: 049883,001022: 7164 00006 POWRSERS EXTEND 049884,001023: 7165 22141 QXCH POLYRET # RETURN ADDRESS 049885,001024: 7166 54117 TS POLISH # POWER SERIES ADDRESS 049886,001025: 7167 22140 LXCH POLYCNT # N-1 TO COUNTER 049887,001026: 7170 17201 TCF POLYCOM # SKIP SET UP BY POLY 049888,001027: 049889,001028: 7171 50002 POLY INDEX Q 049890,001029: 7172 30000 CAF 0 049891,001030: 7173 54140 TS POLYCNT # N-1 TO COUNTER 049892,001031: 7174 60000 DOUBLE 049893,001032: 7175 60002 AD Q 049894,001033: 7176 54117 TS POLISH # L(A(N))-3 TO POLISH 049895,001034: 7177 65022 AD FIVE 049896,001035: 7200 54141 TS POLYRET # STORE RETURN ADDRESS 049897,001036: 049898,001037: 7201 36242 POLYCOM CAF LVBUF # INCOMING X WILL BE MOVED TO VBUF, SO 049899,001038: 7202 54116 TS ADDRWD # SET ADDRWD SO DMPSUB WILL MPY BY VBUF. 049900,001039: 049901,001040: 7203 00006 EXTEND 049902,001041: 7204 50117 INDEX POLISH 049903,001042: 7205 30004 DCA 3 049904,001043: 049905,001044: # Page 1140 049906,001045: 7206 52155 DXCH MPAC # LOAD A(N) INTO MPAC 049907,001046: 7207 52123 DXCH VBUF # SAVING X IN VBUF 049908,001047: 7210 17214 TCF POLY2 049909,001048: 049910,001049: 7211 54140 POLYLOOP TS POLYCNT # SAVE DECREMENTD LOOP COUNTER 049911,001050: 7212 45016 CS TWO 049912,001051: 7213 26117 ADS POLISH # REGRESS COEFFICIENT POINTER 049913,001052: 049914,001053: 7214 07056 POLY2 TC DMPSUB # MULTIPLY BY X 049915,001054: 7215 00006 EXTEND 049916,001055: 7216 50117 INDEX POLISH 049917,001056: 7217 30002 DCA 1 # ADD IN NEXT COEFFICIENT 049918,001057: 7220 20155 DAS MPAC # USER'S RESPONSIBILITY TO ASSURE NO OVFLOW 049919,001058: 049920,001059: 7221 10140 CCS POLYCNT 049921,001060: 7222 17211 TCF POLYLOOP 049922,001061: 7223 00141 TC POLYRET # RETURN CALLER 049923,001062: 049924,001063: # Page 1141 049925,001064: # MISCELLANEOUS MULTI-PRECISION ROUTINES REQUIRED IN FIXED-FIXED BUT NOT USED BY THE INTERPRETER. 049926,001065: 049927,001066: 7224 35021 DPAGREE CAF ZERO # DOUBLE PRECISION ENTRY -- 049928,001067: 7225 54156 TS MPAC +2 # ZERO LOW-ORDER WORD 049929,001068: 049930,001069: 7226 22002 TPAGREE LXCH Q # FORCE SIGN AGREEMENT AMONG THE TRIPLE 049931,001070: 7227 06672 TC BRANCH # PRECISION CONTENTS OF MPAC. RETURNING 049932,001071: 7230 17234 TCF ARG+ # WITH SIGNUM OF THE INPUT IN A. 049933,001072: 7231 17254 TCF ARGZERO 049934,001073: 049935,001074: 7232 44777 CS POSMAX # IF NEGATIVE. 049936,001075: 7233 17235 TCF +2 049937,001076: 049938,001077: 7234 34777 ARG+ CAF POSMAX 049939,001078: 7235 54002 TS Q 049940,001079: 7236 00006 EXTEND 049941,001080: 7237 24000 AUG A # FORMS +-1.0. 049942,001081: 7240 60156 AD MPAC +2 049943,001082: 7241 54156 TS MPAC +2 049944,001083: 7242 35021 CAF ZERO 049945,001084: 7243 60002 AD Q 049946,001085: 7244 60155 AD MPAC +1 049947,001086: 7245 54155 TS MPAC +1 049948,001087: 7246 35021 CAF ZERO 049949,001088: 7247 60002 AD Q # Q STILL HAS POSMAX OR NEGMAX IN IT. 049950,001089: 7250 60154 AD MPAC 049951,001090: 7251 54154 ARGZERO2 TS MPAC # ALWAYS SKIPPING UNLESS ARGZERO. 049952,001091: 7252 54155 TS MPAC +1 049953,001092: 7253 00001 TC L # RETURN VIA L. 049954,001093: 049955,001094: 7254 54156 ARGZERO TS MPAC +2 # SET ALL THREE MPAC REGISTERS TO ZERO. 049956,001095: 7255 17251 TCF ARGZERO2 049957,001096: 049958,001097: # SHORTMP MULTIPLIES THE TP CONTENTS OF MPAC BY THE SINGLE PRECISION NUMBER ARRIVING IN A. 049959,001098: 049960,001099: 7256 54135 SHORTMP TS MPTEMP 049961,001100: 7257 00006 EXTEND 049962,001101: 7260 70156 MP MPAC +2 049963,001102: 7261 54156 TS MPAC +2 049964,001103: 7262 35021 SHORTMP2 CAF ZERO # SO SUBSEQUENT DAS WILL WORK. 049965,001104: 7263 56155 XCH MPAC +1 049966,001105: 7264 17075 TCF DMPSUB2 049967,001106: 049968,001107: # Page 1142 049969,001108: # DMPNSUB MULTIPLIES THE DP FRACTION ARRIVING IN MPAC BY THE SP 049970,001109: # INTEGER ARRIVING IN A. THE DP PRODUCT DEPARTS BOTH IN MPAC AND IN 049971,001110: # A AND L. NOTE THAT DMPNSUB NORMALLY INCREASES THE MAGNITUDE OF THE 049972,001111: # CONTENTS OF MPAC. THE CUSTOMER MUST INSURE THAT B(A) X B(MPAC,MPAC+1) 049973,001112: # AND B(A) X B(MPAC) ARE LESS THAN 1 IN MAGNITUDE, WHERE B, AS IS OBVIOUS, 049974,001113: # INDICATES THE ARRIVING CONTENTS. 049975,001114: 049976,001115: 7265 54135 DMPNSUB TS DMPNTEMP 049977,001116: 7266 00006 EXTEND 049978,001117: 7267 70155 MP MPAC +1 049979,001118: 7270 52155 DXCH MPAC # LOW PRODUCT TO MPAC, HIGH FACTOR TO A 049980,001119: 7271 00006 EXTEND 049981,001120: 7272 70135 MP DMPNTEMP 049982,001121: 7273 30001 CA L 049983,001122: 7274 26154 ADS MPAC # COMPLETING THE PRODUCT IN MPAC 049984,001123: 7275 00006 EXTEND 049985,001124: 7276 30155 DCA MPAC # BRINGING THE PRODUCT INTO A AND L 049986,001125: 7277 00002 TC Q 049987,001126: 049988,001127: # Page 1143 049989,001128: # MISCELLANEOUS VECTOR OPERATIONS. INCLUDED HERE ARE THE FOLLOWING. 049990,001129: # 1. DOT DP VECTOR DOT PRODUCT. 049991,001130: # 2. VXV DP VECTOR CROSS PRODUCT. 049992,001131: # 3. VXSC DP VECTOR TIMES SCALAR. 049993,001132: # 4. V/SC DP VECTOR DIVIDED BY SCALAR. 049994,001133: # 5. VPROJ DP VECTOR PROJECTION. ( (MPAC.X)MPAC ). 049995,001134: # 6. VXM DP VECTOR POST-MULTIPLIED BY MATRIX. 049996,001135: # 7. MXV DP VECTOR PRE-MULTIPLIED BY MATRIX. 049997,001136: 049998,001137: 7300 07123 DOT TC PREDOT # DO THE DOT PRODUCT AND EXIT, CHANGING 049999,001138: 7301 35021 DMODE CAF ZERO # THE MODE TO DP SCALAR. 050000,001139: 7302 16027 TCF NEWMODE 050001,001140: 050002,001141: 7303 35016 MXV CAF TWO # SET UP MATINC AND DOTINC FOR ROW 050003,001142: 7304 54140 TS MATINC # VECTORS. 050004,001143: 7305 17311 TCF VXM/MXV # GO TO COMMON PORTION. 050005,001144: 050006,001145: 7306 44377 VXM CS TEN # SET MATINC AND DOTINC TO REFER TO MATRIX 050007,001146: 7307 54140 TS MATINC # AS THREE COLUMN VECTORS. 050008,001147: 7310 36211 CAF SIX 050009,001148: 050010,001149: # Page 1144 050011,001150: # COMMON PORTION OF MXV AND VXM. 050012,001151: 050013,001152: 7311 54136 VXM/MXV TS DOTINC 050014,001153: 050015,001154: # ITRACE (2) REFERS TO "VXM/MXV". 050016,001155: 050017,001156: 7312 07501 TC MPACVBUF # SAVE VECTOR IN MPAC FOR FURTHER USE. 050018,001157: 050019,001158: 7313 07125 TC DOTSUB # GO DOT TO GET X COMPONENT OF ANSWER. 050020,001159: 7314 00006 EXTEND 050021,001160: 7315 30123 DCA VBUF # MOVE MPAC VECTOR BACK INTO MPAC, SAVING 050022,001161: 7316 52155 DXCH MPAC # NEW X COMPONENT IN BUF2. 050023,001162: 7317 52134 DXCH BUF2 050024,001163: 7320 00006 EXTEND 050025,001164: 7321 30125 DCA VBUF +2 050026,001165: 7322 52160 DXCH MPAC +3 050027,001166: 7323 00006 EXTEND 050028,001167: 7324 30127 DCA VBUF +4 050029,001168: 7325 52162 DXCH MPAC +5 050030,001169: 7326 30140 CA MATINC # INITIALIZE ADDRWD FOR NEXT DOT PRODUCT. 050031,001170: 7327 26116 ADS ADDRWD # FORMS HAS ADDRESS OF NEXT COLUMN(ROW). 050032,001171: 050033,001172: 7330 07125 TC DOTSUB 050034,001173: 7331 52123 DXCH VBUF # MORE GIVEN VECTOR BACK TO MPAC, SAVING Y 050035,001174: 7332 52155 DXCH MPAC # COMPONENT OF ANSWER IN VBUF +2. 050036,001175: 7333 52125 DXCH VBUF +2 050037,001176: 7334 52160 DXCH MPAC +3 050038,001177: 7335 52127 DXCH VBUF +4 050039,001178: 7336 52162 DXCH MPAC +5 050040,001179: 7337 30140 CA MATINC # FORM ADDRESS OF LAST COLUMN OR ROW. 050041,001180: 7340 26116 ADS ADDRWD 050042,001181: 050043,001182: 7341 07125 TC DOTSUB 050044,001183: 7342 52134 DXCH BUF2 # ANSWER NOW COMPLETE. PUT COMPONENTS INTO 050045,001184: 7343 52155 DXCH MPAC # PROPER MPAC REGISTERS. 050046,001185: 7344 52162 DXCH MPAC +5 050047,001186: 7345 52125 DXCH VBUF +2 050048,001187: 7346 52160 DXCH MPAC +3 050049,001188: 7347 16030 TCF DANZIG # EXIT. 050050,001189: 050051,001190: # Page 1145 050052,001191: # VXSC -- VECTOR TIMES SCALAR. 050053,001192: 050054,001193: 7350 10163 VXSC CCS MODE # TEST PRESENT MODE. 050055,001194: 7351 17377 TCF DVXSC # SEPARATE ROUTINE WHEN SCALAR IS IN MPAC. 050056,001195: 7352 17377 TCF DVXSC 050057,001196: 050058,001197: 7353 07056 VVXSC TC DMPSUB # COMPUTE X COMPONENT 050059,001198: 7354 07107 TC VROUND # AND ROUND IT. 050060,001199: 7355 52160 DXCH MPAC +3 # PUT Y COMPONENT INTO MPAC SAVING MPAC IN 050061,001200: 7356 52155 DXCH MPAC # MPAC +3. 050062,001201: 7357 52160 DXCH MPAC +3 050063,001202: 050064,001203: 7360 07056 TC DMPSUB # DO SAME FOR Y AND Z COMPONENTS. 050065,001204: 7361 07107 TC VROUND 050066,001205: 7362 52162 DXCH MPAC +5 050067,001206: 7363 52155 DXCH MPAC 050068,001207: 7364 52162 DXCH MPAC +5 050069,001208: 050070,001209: 7365 07056 TC DMPSUB 050071,001210: 7366 07107 TC VROUND 050072,001211: 7367 52155 VROTATEX DXCH MPAC # EXIT USED TO RESTORE MPAC AFTER THIS 050073,001212: 7370 52162 DXCH MPAC +5 # TYPE OF ROTATION. CALLED BY VECTOR SHIFT 050074,001213: 7371 52160 DXCH MPAC +3 # RIGHT, V/SC, ETC. 050075,001214: 7372 52155 DXCH MPAC 050076,001215: 7373 16030 TCF DANZIG 050077,001216: 050078,001217: # Page 1146 050079,001218: # DP VECTOR PROJECTION ROUTINE. 050080,001219: 050081,001220: 7374 07123 VPROJ TC PREDOT # (MPAC.X)MPAC IS COMPUTED AND LEFT IN 050082,001221: 7375 45015 CS FOUR # MPAC. DO DOT AND FALL INTO DVXSC. 050083,001222: 7376 26116 ADS ADDRWD 050084,001223: 050085,001224: # VXSC WHEN SCALAR ARRIVES IN MPAC AND VECTOR IS AT X. 050086,001225: 050087,001226: 7377 00006 DVXSC EXTEND # SAVE SCALAR IN MPAC +3 AND GET X 050088,001227: 7400 30155 DCA MPAC # COMPONENT OF ANWER. 050089,001228: 7401 52160 DXCH MPAC +3 050090,001229: 7402 07056 TC DMPSUB 050091,001230: 7403 07107 TC VROUND 050092,001231: 050093,001232: 7404 35016 CAF TWO # ADVANCE ADDRWD TO Y COMPONENT OF X. 050094,001233: 7405 26116 ADS ADDRWD 050095,001234: 7406 00006 EXTEND 050096,001235: 7407 30160 DCA MPAC +3 # PUT SCALAR BACK INTO MPAC AND SAVE 050097,001236: 7410 52155 DXCH MPAC # X RESULT IN MPAC +5. 050098,001237: 7411 52162 DXCH MPAC +5 050099,001238: 7412 07056 TC DMPSUB 050100,001239: 7413 07107 TC VROUND 050101,001240: 050102,001241: 7414 35016 CAF TWO 050103,001242: 7415 26116 ADS ADDRWD # TO Z COMPONENT. 050104,001243: 7416 52160 DXCH MPAC +3 # BRING SCALAR BACK, PUTTING Y RESULT IN 050105,001244: 7417 52155 DXCH MPAC # THE PROPER PLACE. 050106,001245: 7420 52160 DXCH MPAC +3 050107,001246: 7421 07056 TC DMPSUB 050108,001247: 7422 07107 TC VROUND 050109,001248: 050110,001249: 7423 52155 DXCH MPAC # PUT Z COMPONENT IN PROPER PLACE, ALSO 050111,001250: 7424 52162 DXCH MPAC +5 # POSITIONING X. 050112,001251: 7425 52155 DXCH MPAC 050113,001252: 050114,001253: 7426 16470 TCF VMODE # MODE HAS CHANGED TO VECTOR. 050115,001254: 050116,001255: # Page 1147 050117,001256: # VECTOR CROSS PRODUCT ROUTINE CALCULATES (X M -X M ,X M -X M ,X M -X M ) WHERE M IS THE VECTOR IN 050118,001257: # 3 2 2 3 1 3 3 1 2 1 1 2 050119,001258: # MPAC AND X THE VECTOR AT THE GIVEN ADDRESS. 050120,001259: 050121,001260: 7427 00006 VXV EXTEND 050122,001261: 7430 30162 DCA MPAC +5 # FORM UP M3X1, LEAVING M1 IN VBUF. 050123,001262: 7431 52155 DXCH MPAC 050124,001263: 7432 52123 DXCH VBUF 050125,001264: 7433 07056 TC DMPSUB # BY X1. 050126,001265: 050127,001266: 7434 00006 EXTEND 050128,001267: 7435 40160 DCS MPAC +3 # CALCULATE -X1M2, SAVING X1M3 IN VBUF +2. 050129,001268: 7436 52155 DXCH MPAC 050130,001269: 7437 52125 DXCH VBUF +2 050131,001270: 7440 07056 TC DMPSUB 050132,001271: 050133,001272: 7441 35016 CAF TWO # ADVANCE ADDRWD TO X2. 050134,001273: 7442 26116 ADS ADDRWD 050135,001274: 7443 00006 EXTEND 050136,001275: 7444 40162 DCS MPAC +5 # PREPARE TO GET -X2M3, SAVING -X1M2 IN 050137,001276: 7445 52155 DXCH MPAC # MPAC +5. 050138,001277: 7446 52162 DXCH MPAC +5 050139,001278: 7447 07056 TC DMPSUB 050140,001279: 050141,001280: 7450 00006 EXTEND 050142,001281: 7451 30123 DCA VBUF # GET X2M1, SAVING -X2M3 IN VBUF +4. 050143,001282: 7452 52155 DXCH MPAC 050144,001283: 7453 52127 DXCH VBUF +4 050145,001284: 7454 07056 TC DMPSUB 050146,001285: 050147,001286: 7455 35016 CAF TWO # ADVANCE ADDRWD TO X3. 050148,001287: 7456 26116 ADS ADDRWD 050149,001288: 7457 00006 EXTEND 050150,001289: 7460 40123 DCS VBUF # GET -X3M1, ADDING X2M1 TO MPAC +5 TO 050151,001290: 7461 52155 DXCH MPAC # COMPLETE THE Z COMPONENT OF THE ANSWER. 050152,001291: 7462 20162 DAS MPAC +5 050153,001292: 050154,001293: 7463 00006 EXTEND 050155,001294: 7464 17466 BZF +2 050156,001295: 7465 06760 TC OVERFLWZ 050157,001296: 050158,001297: 7466 07056 TC DMPSUB 050159,001298: 7467 52125 DXCH VBUF +2 # MOVE X1M3 TO MPAC +3 SETTING UP FOR X3M2 050160,001299: 7470 52160 DXCH MPAC +3 # AND ADD -X3M1 TO MPAC +3 TO COMPLETE THE 050161,001300: 7471 52155 DXCH MPAC # Y COMPONENT OF THE RESULT. 050162,001301: 7472 20160 DAS MPAC +3 050163,001302: 050164,001303: 7473 00006 EXTEND 050165,001304: 7474 17476 BZF +2 050166,001305: # Page 1148 050167,001306: 7475 06763 TC OVERFLWY 050168,001307: 050169,001308: 7476 07056 TC DMPSUB 050170,001309: 7477 52127 DXCH VBUF +4 # GO ADD -X2M3 TO X3M2 TO COMPLETE THE X 050171,001310: 7500 16747 TCF ENDVXV # COMPONENT (TAIL END OF DAD). 050172,001311: 050173,001312: # THE MPACVBUF SUBROUTINE SAVES THE VECTOR IN MPAC IN VBUF WITHOUT CLOBBERING MPAC. 050174,001313: 050175,001314: 7501 00006 MPACVBUF EXTEND # CALLED BY MXV, VXM, AND UNIT. 050176,001315: 7502 30155 DCA MPAC 050177,001316: 7503 52123 DXCH VBUF 050178,001317: 7504 00006 EXTEND 050179,001318: 7505 30160 DCA MPAC +3 050180,001319: 7506 52125 DXCH VBUF +2 050181,001320: 7507 00006 EXTEND 050182,001321: 7510 30162 DCA MPAC +5 050183,001322: 7511 52127 DXCH VBUF +4 050184,001323: 7512 00002 TC Q # RETURN TO CALLER. 050185,001324: 050186,001325: # DOUBLE PRECISION SIGN AGREE ROUTINE. ARRIVE WITH INPUT IN A+L. OUTPUT IS IN A + L. 050187,001326: 050188,001327: 7513 10000 ALSIGNAG CCS A # TEST UPPER PART. 050189,001328: 7514 17520 TCF UPPOS # IT IS POSITIVE 050190,001329: 7515 00002 TC Q # ZERO 050191,001330: 7516 17530 TCF UPNEG # NEGATIVE 050192,001331: 7517 00002 TC Q # ZERO 050193,001332: 050194,001333: 7520 56001 UPPOS XCH L # SAVE DECREMENTED UPPER PART. 050195,001334: 7521 65002 AD HALF 050196,001335: 7522 65002 AD HALF 050197,001336: 7523 54000 TS A # SKIPS ON OVERFLOW 050198,001337: 7524 17526 TCF +2 050199,001338: 7525 24001 INCR L # RESTORE UPPER TO ORIGINAL VALUE 050200,001339: 7526 56001 XCH L # SWAP A + L BANCK. 050201,001340: 7527 00002 TC Q 050202,001341: 050203,001342: 7530 56001 UPNEG XCH L # SAVE COMPLEMENTED + DECREMENTED UPPER PT 050204,001343: 7531 65001 AD NEGMAX 050205,001344: 7532 67716 AD NEGONE 050206,001345: 7533 54000 TS A 050207,001346: 7534 17536 TCF +2 # DON'T INCREMENT IF NO OVERFLOW. 050208,001347: 7535 24001 INCR L 050209,001348: 7536 56001 XCH L 050210,001349: 7537 40000 COM # MAKE NEGATIVE AGAIN. 050211,001350: 7540 00002 TC Q 050212,001351: 050213,001352: # Page 1149 050214,001353: # INTERPRETIVE INSTRUCTIONS WHOSE EXECUTION CONSISTS OF PRINCIPALLY CALLING SUBROUTINES. 050215,001354: 050216,001355: 7541 07056 DMP1 TC DMPSUB # DMP INSTRUCTIONS 050217,001356: 7542 16030 TCF DANZIG 050218,001357: 050219,001358: 7543 07056 DMPR TC DMPSUB 050220,001359: 7544 07106 TC ROUNDSUB +1 # (C(A) = +0). 050221,001360: 7545 16030 TCF DANZIG 050222,001361: 050223,001362: 7546 00006 DDV EXTEND 050224,001363: 7547 50116 INDEX ADDRWD # MOVE DIVIDENT INTO BUF. 050225,001364: 7550 30001 DCA 0 050226,001365: 7551 17556 TCF BDDV +4 050227,001366: 050228,001367: 7552 00006 BDDV EXTEND # MOVE DIVISOR INTO MPAC SAVING MPAC, THE 050229,001368: 7553 50116 INDEX ADDRWD # DIVIDEND, IN BUF. 050230,001369: 7554 30001 DCA 0 050231,001370: 7555 52155 DXCH MPAC 050232,001371: 7556 52131 +4 DXCH BUF 050233,001372: 7557 35021 CAF ZERO # DIVIDE ROUTINES IN BANK 0. 050234,001373: 7560 54004 TS FBANK 050235,001374: 7561 12353 TCF DDV/BDDV 050236,001375: 050237,001376: 7562 30116 SETPD CA ADDRWD # MUST SET TO WORK AREA, OR EBANK TROUBLE. 050238,001377: 7563 54166 TS PUSHLOC 050239,001378: 7564 16032 TCF NOIBNKSW # NO FBANK SWITCH REQUIRED. 050240,001379: 050241,001380: 7565 35021 TSLC CAF ZERO # SHIFTING ROUTINES LOCATED IN BANK 00. 050242,001381: 7566 54004 TS FBANK 050243,001382: 7567 12172 TCF TSLC2 050244,001383: 050245,001384: 7570 36043 GSHIFT CAF LOW7 # USED AS MASK AT GENSHIFT. THIS PROCESSES 050246,001385: 7571 54004 TS FBANK # ANY SHIFT INSTRUCTION (EXCEPT TSLC) WITH 050247,001386: 7572 12214 TCF GENSHIFT # AN ADDRESS (ROUTINES IN BANK 0). 050248,001387: 050249,001388: # Page 1150 050250,001389: # THE FOLLOWING IS THE PROLOGUE TO V/SC. IF THE PRESENT MODE IS VECTOR, IT SAVES THE SCALAR AT X IN BUF 050251,001390: # AND CALLS THE V/SC ROUTINE IN BANK 0. IF THE PRESENT MODE IS SCALAR, IT MOVES THE VECTOR AT X INTO MPAC, SAVING 050252,001391: # THE SCALAR IN MPAC IN BUF BEFORE CALLING THE V/SC ROUTINE IN BANK 0. 050253,001392: 050254,001393: 7573 10163 V/SC CCS MODE 050255,001394: 7574 17605 TCF DV/SC # MOVE VECTOR INTO MPAC. 050256,001395: 7575 17605 TCF DV/SC 050257,001396: 050258,001397: 7576 00006 VV/SC EXTEND 050259,001398: 7577 50116 INDEX ADDRWD 050260,001399: 7600 30001 DCA 0 050261,001400: 7601 52131 V/SC1 DXCH BUF # IN BOTH CASES, VECTOR IS NOW IN MPAC AND 050262,001401: 7602 35021 CAF ZERO # SCALAR IN BUF. 050263,001402: 7603 54004 TS FBANK 050264,001403: 7604 12654 TCF V/SC2 050265,001404: 050266,001405: 7605 00006 DV/SC EXTEND 050267,001406: 7606 50116 INDEX ADDRWD 050268,001407: 7607 30003 DCA 2 050269,001408: 7610 52160 DXCH MPAC +3 050270,001409: 7611 00006 EXTEND 050271,001410: 7612 50116 INDEX ADDRWD 050272,001411: 7613 30005 DCA 4 050273,001412: 7614 52162 DXCH MPAC +5 050274,001413: 050275,001414: 7615 45017 CS ONE # CHANGE MODE TO VECTOR. 050276,001415: 7616 54163 TS MODE 050277,001416: 050278,001417: 7617 00006 EXTEND 050279,001418: 7620 50116 INDEX ADDRWD 050280,001419: 7621 30001 DCA 0 050281,001420: 7622 52155 DXCH MPAC 050282,001421: 7623 17601 TCF V/SC1 050283,001422: 050284,001423: # Page 1151 050285,001424: # SIGN AND COMPLEMENT INSTRUCTIONS. 050286,001425: 050287,001426: 7624 50116 SIGN INDEX ADDRWD # CALL COMP INSTRUCTION IF WORD AT X IS 050288,001427: 7625 10000 CCS 0 # NEGATIVE NON-ZERO. 050289,001428: 7626 16030 TCF DANZIG 050290,001429: 7627 17631 TCF +2 050291,001430: 7630 17637 TCF COMP # DO THE COMPLEMENT. 050292,001431: 050293,001432: 7631 50116 INDEX ADDRWD 050294,001433: 7632 10001 CCSL CCS 1 050295,001434: 7633 16030 TCF DANZIG 050296,001435: 7634 16030 TCF DANZIG 050297,001436: 7635 17637 TCF COMP 050298,001437: 7636 16030 TCF DANZIG 050299,001438: 7637 00006 COMP EXTEND # COMPLEMENT DP MPAC IN EVERY CASE. 050300,001439: 7640 40155 DCS MPAC 050301,001440: 7641 52155 DXCH MPAC 050302,001441: 050303,001442: 7642 10163 CCS MODE # EITHER COMPLEMENT MPAC +3 OR THE REST OF 050304,001443: 7643 17654 TCF DCOMP # THE VECTOR ACCUMULATOR. 050305,001444: 7644 17654 TCF DCOMP 050306,001445: 050307,001446: 7645 00006 EXTEND # VECTOR COMPLEMENT. 050308,001447: 7646 40160 DCS MPAC +3 050309,001448: 7647 52160 DXCH MPAC +3 050310,001449: 7650 00006 EXTEND 050311,001450: 7651 40162 DCS MPAC +5 050312,001451: 7652 52162 DXCH MPAC +5 050313,001452: 7653 16030 TCF DANZIG 050314,001453: 050315,001454: 7654 40156 DCOMP CS MPAC +2 050316,001455: 7655 54156 TS MPAC +2 050317,001456: 7656 16030 TCF DANZIG 050318,001457: 050319,001458: # Page 1152 050320,001459: # THE FOLLOWING SHORT SHIFT CODES REQUIRE NO ADDRESS WORD: 050321,001460: # 1. SR1 TO SR4 SCALAR SHIFT RIGHT. 050322,001461: # 2. SR1R TO SR4R SCALAR SHIFT RIGHT AND ROUND. 050323,001462: # 3. SL1 TO SL4 SCALAR SHIFT LEFT. 050324,001463: # 4. SL1R TO SL4R SCALAR SHIFT LEFT AND ROUND. 050325,001464: # 5. VSR1 TO VSR8 VECTOR SHIFT RIGHT (ALWAYS ROUNDS). 050326,001465: # 6. VSL1 TO VSL8 VECTOR SHIFT LEFT (NEVER ROUNDS). 050327,001466: # THE FOLLOWING CODES REQUIRE AN ADDRESS WHICH MAY BE INDEXED:* 050328,001467: # 1. SR SCALAR SHIFT RIGHT. 050329,001468: # 2. SRR SCALAR SHIFT RIGHT AND ROUND. 050330,001469: # 3. SL SCALAR SHIFT LEFT. 050331,001470: # 4. SLR SCALAR SHIFT LEFT AND ROUND. 050332,001471: # 5. VSR VECTOR SHIFT RIGHT. 050333,001472: # 6. VSL VECTOR SHIFT LEFT. 050334,001473: # * IF THE ADDRESS IS INDEXED, AND THE INDEX MODIFICATION RESULTS IN A NEGATIVE SHIFT COUNT, A SHIFT OF THE 050335,001474: # ABSOLUTE VALUE OF THE COUNT IS DONE IN THE OPPOSITE DIRECTION. 050336,001475: 050337,001476: 00,2017 BANK 00 050338,001477: 050339,001478: 00,2017 COUNT 00/INTER 050340,001479: 050341,001480: 00,2017 36211 SHORTT CAF SIX # SCALAR SHORT SHIFTS COME HERE. THE SHIFT 050342,001481: 00,2020 70020 MASK CYR # COUNT-1 IS NOW IN BITS 2-3 OF CYR. THE 050343,001482: 00,2021 54021 TS SR # ROUNDING BIT IS IN BIT1 AT THIS POINT. 050344,001483: 050345,001484: 00,2022 10020 CCS CYR # SEE IF RIGHT OR LEFT SHIFT DESIRED. 050346,001485: 00,2023 12101 TCF TSSL # SHIFT LEFT. 050347,001486: 050348,001487: 00,2024 00024 SRDDV DEC 20 B-14 # MPTEMP SETTING FOR SR BEFORE DDV. 050349,001488: 050350,001489: 00,2025 50021 TSSR INDEX SR # GET SHIFTING BIT. 050351,001490: 00,2026 35002 CAF BIT14 050352,001491: 00,2027 54135 TS MPTEMP 050353,001492: 050354,001493: 00,2030 10020 CCS CYR # SEE IF A ROUND IS DESIRED. 050355,001494: 00,2031 02050 RIGHTR TC MPACSRND # YES -- SHIFT RIGHT AND ROUND. 050356,001495: 00,2032 16027 TCF NEWMODE # SET MODE TO DP (C(A) = 0). 050357,001496: 00,2033 30135 MPACSHR CA MPTEMP # DO A TRIPLE PRECISION SHIFT RIGHT. 050358,001497: 00,2034 00006 EXTEND 050359,001498: 00,2035 70156 MP MPAC +2 050360,001499: 00,2036 54156 +3 TS MPAC +2 # (EXIT FROM SQRT AND ABVAL). 050361,001500: 00,2037 30135 CA MPTEMP 050362,001501: 00,2040 00006 EXTEND 050363,001502: # Page 1153 050364,001503: 00,2041 70154 MP MPAC # SHIFT MAJOR PART INTO A,L AND PLACE IN 050365,001504: 00,2042 52155 DXCH MPAC # MPAC,+1. 050366,001505: 00,2043 30135 CA MPTEMP 050367,001506: 00,2044 00006 EXTEND 050368,001507: 00,2045 70001 MP L # ORIGINAL C(MPAC +1). 050369,001508: 00,2046 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW. 050370,001509: 00,2047 16030 TCF DANZIG 050371,001510: 050372,001511: # MPAC SHIFT RIGHT AND ROUND SUBROUTINES 050373,001512: 050374,001513: 00,2050 30156 MPACSRND CA MPAC +2 # WE HAVE TO DO ALL THREE MULTIPLIES SINCE 050375,001514: 00,2051 00006 EXTEND # MPAC +1 AND MPAC +2 MIGHT HAVE SIGN 050376,001515: 00,2052 70135 MP MPTEMP # DISAGREEMENT WITH A SHIFT RIGHT OF L. 050377,001516: 00,2053 56155 XCH MPAC +1 050378,001517: 00,2054 00006 EXTEND 050379,001518: 00,2055 70135 MP MPTEMP 050380,001519: 00,2056 56155 XCH MPAC +1 # TRIAL MINOR PART. 050381,001520: 00,2057 60001 AD L 050382,001521: 050383,001522: 00,2060 60000 VSHR2 DOUBLE # (FINISH VECTOR COMPONENT SHIFT RIGHT 050384,001523: 00,2061 54156 TS MPAC +2 # AND ROUND.) 050385,001524: 00,2062 12064 TCF +2 050386,001525: 00,2063 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW. 050387,001526: 050388,001527: 00,2064 35021 CAF ZERO 050389,001528: 00,2065 54156 TS MPAC +2 050390,001529: 00,2066 56154 XCH MPAC # SETTING TO ZERO SO FOLLOWING DAS WORKS. 050391,001530: 00,2067 00006 EXTEND 050392,001531: 00,2070 70135 MP MPTEMP 050393,001532: 00,2071 20155 DAS MPAC # AGAIN NO OVERFLOW. 050394,001533: 00,2072 00002 TC Q 050395,001534: 050396,001535: 00,2073 30135 VSHRRND CA MPTEMP # ENTRY TO SHIFT RIGHT AND ROUND MPAC WHEN 050397,001536: 00,2074 00006 EXTEND # MPAC CONTAINS A VECTOR COMPONENT. 050398,001537: 00,2075 70155 MP MPAC +1 050399,001538: 00,2076 54155 TS MPAC +1 050400,001539: 00,2077 56001 XCH L 050401,001540: 00,2100 12060 TCF VSHR2 # GO ADD ONE IF NECESSARY AND FINISH. 050402,001541: 050403,001542: # Page 1154 050404,001543: # ROUTINE FOR SHORT SCALAR SHIFT LEFT (AND MAYBE ROUND). 050405,001544: 050406,001545: 00,2101 30021 TSSL CA SR # GET SHIFT COUNT FOR SR. 050407,001546: 00,2102 54135 +1 TS MPTEMP 050408,001547: 050409,001548: 00,2103 00006 +2 EXTEND # ENTRY HERE FROM SL FOR SCALARS. 050410,001549: 00,2104 30156 DCA MPAC +1 # SHIFTING LEFT ONE PLACE AT A TIME IS 050411,001550: 00,2105 20156 DAS MPAC +1 # FASTER THAN DOING THE WHOLE SHIFT WITH 050412,001551: 00,2106 60154 AD MPAC # MULTIPLIES ASSUMING THAT FREQUENCY OF 050413,001552: 00,2107 60154 AD MPAC # SHIFT COUNTS GOES DOWN RAPIDLY AS A 050414,001553: 00,2110 54154 TS MPAC # FUNCTION OF THEIR MAGNITUDE. 050415,001554: 00,2111 12113 TCF +2 050416,001555: 00,2112 54121 TS OVFIND # OVERFLOW. (LEAVES OVERFLOW-CORRECTED 050417,001556: # RESULT ANYWAY). 050418,001557: 00,2113 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNT. 050419,001558: 00,2114 12102 TCF TSSL +1 050420,001559: 050421,001560: 00,2115 10020 CCS CYR # SEE IF ROUND WANTED. 050422,001561: 00,2116 07105 ROUND TC ROUNDSUB # YES -- ROUND AND EXIT. 050423,001562: 00,2117 16030 TCF DANZIG # SL LEAVES A ZERO IN CYR FOR NO ROUND. 050424,001563: 00,2120 16030 TCF DANZIG # NO -- EXIT IMMEDIATELY 050425,001564: 050426,001565: # Page 1155 050427,001566: # VECTOR SHIFTING ROUTINES. 050428,001567: 050429,001568: 00,2121 35023 SHORTV CAF LOW3 # SAVE 3 BIT SHIFT COUNT -- 1 WITHOUT 050430,001569: 00,2122 70020 MASK CYR # EDITING CYR. 050431,001570: 00,2123 54135 TS MPTEMP 050432,001571: 00,2124 10020 CCS CYR # SEE IF LEFT OR RIGHT SHIFT. 050433,001572: 00,2125 12145 TCF VSSL # VECTOR SHIFT LEFT. 050434,001573: 00,2126 00176 OCT176 OCT 176 # USED IN PROCESSED SHIFTS WITH - COUNT. 050435,001574: 050436,001575: 00,2127 50135 VSSR INDEX MPTEMP # (ENTRY FROM SR). PICK UP SHIFTING BIT. 050437,001576: 00,2130 35002 CAF BIT14 # MPTEMP CONTAINS THE SHIFT COUNT - 1. 050438,001577: 00,2131 54135 TS MPTEMP 050439,001578: 00,2132 02073 TC VSHRRND # SHIFT X COMPONENT. 050440,001579: 050441,001580: 00,2133 52155 DXCH MPAC # SWAP X AND Y COMPONENTS. 050442,001581: 00,2134 52160 DXCH MPAC +3 050443,001582: 00,2135 52155 DXCH MPAC 050444,001583: 00,2136 02073 TC VSHRRND # SHIFT Y COMPONENT. 050445,001584: 050446,001585: 00,2137 52155 DXCH MPAC # SWAP Y AND Z COMPONENTS. 050447,001586: 00,2140 52162 DXCH MPAC +5 050448,001587: 00,2141 52155 DXCH MPAC 050449,001588: 00,2142 02073 TC VSHRRND # SHIFT Z COMPONENT. 050450,001589: 050451,001590: 00,2143 17367 TCF VROTATEX # RESTORE COMPONENTS TO PROPER PLACES. 050452,001591: 050453,001592: # Page 1156 050454,001593: # VECTOR SHIFT LEFT -- DONE ONE PLACE AT A TIME. 050455,001594: 050456,001595: 00,2144 54135 -1 TS MPTEMP # SHIFTING LOOP. 050457,001596: 050458,001597: 00,2145 00006 VSSL EXTEND 050459,001598: 00,2146 30155 DCA MPAC 050460,001599: 00,2147 20155 DAS MPAC 050461,001600: 00,2150 00006 EXTEND 050462,001601: 00,2151 12153 BZF +2 050463,001602: 00,2152 06766 TC OVERFLOW 050464,001603: 050465,001604: 00,2153 00006 EXTEND 050466,001605: 00,2154 30160 DCA MPAC +3 050467,001606: 00,2155 20160 DAS MPAC +3 050468,001607: 00,2156 00006 EXTEND 050469,001608: 00,2157 12161 BZF +2 050470,001609: 00,2160 06763 TC OVERFLWY 050471,001610: 050472,001611: 00,2161 00006 EXTEND 050473,001612: 00,2162 30162 DCA MPAC +5 050474,001613: 00,2163 20162 DAS MPAC +5 050475,001614: 00,2164 00006 EXTEND 050476,001615: 00,2165 12167 BZF +2 050477,001616: 00,2166 06760 TC OVERFLWZ 050478,001617: 050479,001618: 00,2167 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNTER. 050480,001619: 00,2170 12144 TCF VSSL -1 050481,001620: 00,2171 16030 TCF DANZIG # EXIT. 050482,001621: 050483,001622: # Page 1157 050484,001623: # TSLC -- TRIPLE SHIFT LEFT AND COUNT. SHIFTS MPAC LEFT UNTIL GREATER THAN .5 IN MAGNITUDE, LEAVING 050485,001624: # THE COMPLEMENT OF THE NUMBER OF SHIFTS REQUIRED IN X. 050486,001625: 050487,001626: 00,2172 54135 TSLC2 TS MPTEMP # START BY ZEROING SHIFT COUNT (IN A NOW). 050488,001627: 00,2173 06672 TC BRANCH # EXIT WITH NO SHIFTING IF ARGUMENT ZERO. 050489,001628: 00,2174 12176 TCF +2 050490,001629: 00,2175 12212 TCF ENDTSLC # STORES ZERO SHIFT COUNT IN THIS CASE. 050491,001630: 050492,001631: 00,2176 07226 TC TPAGREE # MAY CAUSE UPSHIFT OF ONE EXTRA PLACE. 050493,001632: 050494,001633: 00,2177 30154 CA MPAC # BEGIN NORMALIZATION LOOP. 050495,001634: 00,2200 12207 TCF TSLCTEST 050496,001635: 050497,001636: 00,2201 24135 TSLCLOOP INCR MPTEMP # INCREMENT SHIFT COUNTER. 050498,001637: 00,2202 00006 EXTEND 050499,001638: 00,2203 30156 DCA MPAC +1 050500,001639: 00,2204 20156 DAS MPAC +1 050501,001640: 00,2205 60154 AD MPAC 050502,001641: 00,2206 26154 ADS MPAC 050503,001642: 00,2207 60000 TSLCTEST DOUBLE # SEE IF (ANOTHER) SHIFT IS REQUIRED 050504,001643: 00,2210 54000 OVSK 050505,001644: 00,2211 12201 TCF TSLCLOOP # YES -- INCREMENT COUNT AND SHIFT AGAIN. 050506,001645: 050507,001646: 00,2212 40135 ENDTSLC CS MPTEMP 050508,001647: 00,2213 16572 TCF STORE1 # STORE SHIFT COUNT AND RETURN TO DANZIG. 050509,001648: 050510,001649: # Page 1158 050511,001650: # THE FOLLOWING ROUTINE PROCESSES THE GENERAL SHIFT INSTRUCTIONS SR, SRR, SL, AND SLR. 050512,001651: # THE GIVEN ADDRESS IS DECODED AS FOLLOWS: 050513,001652: # BITS 1-7 SHIFT COUNT (SUBADDRESS) LESS THAN 125 DECIMAL. 050514,001653: # BIT 8 PSEUDO SIGN BIT (DETECTS CHANGE IN SIGN IN INDEXED SHIFTS). 050515,001654: # BIT 9 0 FOR LEFT SHIFT, AND 1 FOR RIGHT SHIFT. 050516,001655: # BIT 10 1 FOR TERMINAL ROUND ON SCALAR SHIFTS, 0 OTHERWISE 050517,001656: # BITS 11-13 0. 050518,001657: # BIT 14 1. 050519,001658: # BIT 15 0. 050520,001659: # THE ABOVE ENCODING IS DONE BY THE YUL SYSTEM. 050521,001660: 050522,001661: 00,2214 70116 GENSHIFT MASK ADDRWD # GET SHIFT COUNT, TESTING FOR ZERO. 050523,001662: 00,2215 10000 CCS A # (ARRIVES WITH C(A) = LOW7). 050524,001663: 00,2216 12224 TCF GENSHFT2 # IF NON-ZERO, PROCEED WITH DECREMENTED CT 050525,001664: 050526,001665: 00,2217 35006 CAF BIT10 # ZERO SHIFT COUNT. NO SHIFTS NEEDED BUT 050527,001666: 00,2220 70116 MASK ADDRWD # WE MIGHT HAVE TO ROUND MPAC ON SLR AND 050528,001667: 00,2221 10000 CCS A # SRR (SCALAR ONLY). 050529,001668: 00,2222 07105 TC ROUNDSUB 050530,001669: 00,2223 16030 TCF DANZIG 050531,001670: 050532,001671: 00,2224 54135 GENSHFT2 TS MPTEMP # DECREMENTED SHIFT COUNT TO MPTEMP. 050533,001672: 00,2225 35010 CAF BIT8 # TEST MEANING OF LOW SEVEN BIT COUNT IN 050534,001673: 00,2226 00006 EXTEND # MPTEMP NOW. 050535,001674: 00,2227 70116 MP ADDRWD 050536,001675: 00,2230 76214 MASK LOW2 # JUMPS ON SHIFT DIRECTION (BIT8) AND 050537,001676: 00,2231 50000 INDEX A 050538,001677: 00,2232 12233 TCF +1 # ORIGINAL SHIFT DIRECTION (BIT 9) 050539,001678: 00,2233 12332 TCF RIGHT- # NEGATIVE SHIFT COUNT FOR SL OR SLR. 050540,001679: 00,2234 12342 TCF LEFT # SL OR SLR. 050541,001680: 00,2235 12336 TCF LEFT- # NEGATIVE SHIFT COUNT WITH SR OR SRR. 050542,001681: 050543,001682: # Page 1159 050544,001683: # GENERAL SHIFT RIGHT 050545,001684: 050546,001685: 00,2236 10163 RIGHT CCS MODE # SET IF VECTOR OR SCALAR. 050547,001686: 00,2237 12277 TCF GENSCR 050548,001687: 00,2240 12277 TCF GENSCR 050549,001688: 050550,001689: 00,2241 30135 CA MPTEMP # SEE IF SHIFT COUNT LESS THAN 14D. 050551,001690: 00,2242 63730 VRIGHT2 AD NEG12 050552,001691: 00,2243 00006 EXTEND 050553,001692: 00,2244 62127 BZMF VSSR # IF SO, BRANCH AND SHIFT IMMEDIATELY. 050554,001693: 050555,001694: 00,2245 67716 AD NEGONE # IF NOT, REDUCE MPTEMP BY A TOTAL OF 14. 050556,001695: 00,2246 54135 TS MPTEMP # AND DO A SHIFT RIGHT AND ROUND BY 14. 050557,001696: 00,2247 35021 CAF ZERO # THE ROUND AT THIS STAGE MAY INTRODUCE A 050558,001697: 00,2250 54001 TS L # ONE BIT ERROR IN A SHIFT RIGHT 15D. 050559,001698: 00,2251 56154 XCH MPAC 050560,001699: 00,2252 56155 XCH MPAC +1 050561,001700: 00,2253 02272 TC SETROUND # X COMPONENT NOW SHIFTED, SO MAKE UP THE 050562,001701: 00,2254 20155 DAS MPAC # ROUNDING QUANTITY (0 IN A AND 0 OR +-1 050563,001702: # IN L). 050564,001703: 00,2255 56157 XCH MPAC +3 # REPEAT THE ABOVE PROCESS FOR Y AND Z/ 050565,001704: 00,2256 56160 XCH MPAC +4 050566,001705: 00,2257 02272 TC SETROUND 050567,001706: 00,2260 20160 DAS MPAC +3 # NO OVERFLOW ON THESE ADDS. 050568,001707: 050569,001708: 00,2261 56161 XCH MPAC +5 050570,001709: 00,2262 56162 XCH MPAC +6 050571,001710: 00,2263 02272 TC SETROUND 050572,001711: 00,2264 20162 DAS MPAC +5 050573,001712: 050574,001713: 00,2265 10135 CCS MPTEMP # SEE IF DONE, DOING FINAL DECREMENT. 050575,001714: 00,2266 54135 TS MPTEMP 050576,001715: 00,2267 12242 TCF VRIGHT2 050577,001716: 00,2270 04604 BIASLO DEC .2974 B-1 # SQRT CONSTANT 050578,001717: 050579,001718: 00,2271 16030 TCF DANZIG 050580,001719: 050581,001720: 00,2272 60000 SETROUND DOUBLE # MAKES UP ROUNDING QUANTITY FROM ARRIVING 050582,001721: 00,2273 54156 TS MPAC +2 # C(A). L IS ZERO INITIALLY. 050583,001722: 00,2274 35021 CAF ZERO 050584,001723: 00,2275 56001 XCH L 050585,001724: 00,2276 00002 TC Q # RETURN AND DO THE DAS, RESETTING L TO 0. 050586,001725: 050587,001726: # Page 1160 050588,001727: # PROCESS SR AND SRR FOR SCALARS. 050589,001728: 050590,001729: 00,2277 30135 GENSCR CA MPTEMP # SEE IF THE ORIGINAL SHIFT COUNT WAS LESS 050591,001730: 00,2300 63730 +1 AD NEG12 # THAN 14D. 050592,001731: 00,2301 00006 EXTEND 050593,001732: 00,2302 62322 BZMF DOSSHFT # DO THE SHIFT IMMEDIATELY IF SO. 050594,001733: 050595,001734: 00,2303 67716 +4 AD NEGONE # IF NOT, DECREMENT SHIFT COUNT BY 14D AND 050596,001735: 00,2304 54135 TS MPTEMP # SHIFT MPAC RIGHT 14 PLACES. 050597,001736: 00,2305 35021 CAF ZERO 050598,001737: 00,2306 56154 XCH MPAC 050599,001738: 00,2307 56155 XCH MPAC +1 050600,001739: 00,2310 54156 TS MPAC +2 050601,001740: 00,2311 10135 CCS MPTEMP # SEE IF FINISHED, DO FINAL DECREMENT. 050602,001741: 00,2312 54135 TS MPTEMP 050603,001742: 00,2313 02300 TC GENSCR +1 050604,001743: 00,2314 22650 SLOPEHI DEC .5884 # SQRT CONSTANT. 050605,001744: 00,2315 35006 CAF BIT10 # FINISHED WITH SHIFT. SEE IF ROUND 050606,001745: 00,2316 70116 MASK ADDRWD # WANTED. 050607,001746: 00,2317 10000 CCS A 050608,001747: 00,2320 07105 TC ROUNDSUB 050609,001748: 00,2321 16030 TCF DANZIG # DO SO AND/OR EXIT. 050610,001749: 050611,001750: 00,2322 50135 DOSSHFT INDEX MPTEMP # PICK UP SHIFTING BIT. 050612,001751: 00,2323 35002 CAF BIT14 050613,001752: 00,2324 54135 TS MPTEMP 050614,001753: 00,2325 35006 CAF BIT10 # SEE IF TERMINAL ROUND DESIRED. 050615,001754: 00,2326 70116 MASK ADDRWD 050616,001755: 00,2327 10000 CCS A 050617,001756: 00,2330 12031 TCF RIGHTR # YES. 050618,001757: 00,2331 12033 TCF MPACSHR # JUST SHIFT RIGHT. 050619,001758: 050620,001759: # Page 1161 050621,001760: # PROCESS THE RIGHT- (SL(R) WITH A NEGATIVE COUNT), LEFT-, AND LEFT OPTIONS. 050622,001761: 050623,001762: 00,2332 40135 RIGHT- CS MPTEMP # GET ABSOLUTE VALUE - 1 OF SHIFT COUNT 050624,001763: 00,2333 62126 AD OCT176 # UNDERSTANDING THAT BIT8 (PSEUDO-SIGN) 050625,001764: 00,2334 54135 TS MPTEMP # WAS 1 INITIALLY. 050626,001765: 00,2335 12236 TCF RIGHT # DO NORMAL SHIFT RIGHT. 050627,001766: 050628,001767: 00,2336 42126 LEFT- CS OCT176 # SAME PROLOGUE TO LEFT FOR INDEXED RIGHT 050629,001768: 00,2337 60135 AD MPTEMP # SHIFT WHOSE NET SHIFT COUNT IS NEGATIVE 050630,001769: 00,2340 40000 COM 050631,001770: 00,2341 54135 TS MPTEMP 050632,001771: 050633,001772: 00,2342 10163 LEFT CCS MODE # SINCE LEFT SHIFTING IS DONE ONE PLACE AT 050634,001773: 00,2343 12346 TCF GENSCL # A TIME, NO COMPARISON WITH 14 NEED BE 050635,001774: 00,2344 12346 TCF GENSCL # DONE. FOR SCALARS, SEE IF TERMINAL ROUND 050636,001775: 00,2345 12145 TCF VSSL # DESIRED. FOR VECTORS, SHIFT IMMEDIATELY. 050637,001776: 050638,001777: 00,2346 40116 GENSCL CS ADDRWD # PUT ROUNDING BIT (BIT 10 OF ADDRWD) INTO 050639,001778: 00,2347 00006 EXTEND # BIT 15 OF CYR WHERE THE ROUNDING BIT OF 050640,001779: 00,2350 75012 MP BIT6 # A SHORT SHIFT LEFT WOULD BE 050641,001780: 00,2351 54020 TS CYR 050642,001781: 00,2352 12103 TCF TSSL +2 # DO THE SHIFT. 050643,001782: 050644,001783: # Page 1162 050645,001784: # SCALAR DIVISION INSTRUCTIONS, DDV AND BDDV, ARE EXECUTED HERE. AT THIS POINT, THE DIVIDEND IS IN MPAC 050646,001785: # AND THE DIVISOR IS IN BUF. 050647,001786: 050648,001787: 00,2353 45017 DDV/BDDV CS ONE # INITIALIZATION 050649,001788: 00,2354 54136 TS DVSIGN # +-1 FOR POSITIVE QUOTIENT -- -0 FOR NEG. 050650,001789: 00,2355 54137 TS DVNORMCT # DIVIDENT NORMALIZATION COUNT. 050651,001790: 00,2356 54140 TS MAXDVSW # NEAR-ONE DIVIDE FLAG. 050652,001791: 050653,001792: 00,2357 10130 CCS BUF # FORCE BUF POSITIVE WITH THE MAJOR PART 050654,001793: 00,2360 12516 TCF BUFPOS # NON-ZERO. 050655,001794: 00,2361 12363 TCF +2 050656,001795: 00,2362 12531 TCF BUFNEG 050657,001796: 050658,001797: 00,2363 54156 BUFZERO TS MPAC +2 # ZERO THIS. 050659,001798: 00,2364 07226 TC TPAGREE # FORCE SIGN AGREEMENT BEFORE OVERFLOW 050660,001799: 050661,001800: 00,2365 10154 CCS MPAC # TEST TO SEE IF MPAC NON-ZERO. (TOO BIG) 050662,001801: 00,2366 12414 TCF OVF+ # MAJOR PART OF DIVIDEND IS POSITIVE NON-0 050663,001802: 00,2367 12371 TCF +2 050664,001803: 00,2370 12413 TCF OVF+ -1 # MAJOR PART OF DIVIDEND IS NEG. NON-ZERO 050665,001804: 050666,001805: 00,2371 56131 XCH BUF +1 # SHIFT DIVIDENT AND DIVISOR LEFT 14 050667,001806: 00,2372 56130 XCH BUF 050668,001807: 00,2373 56155 XCH MPAC +1 050669,001808: 00,2374 56154 XCH MPAC 050670,001809: 00,2375 10130 CCS BUF # TRY AGAIN ON FORMER MINOR PART. 050671,001810: 00,2376 12422 TCF BUF+ 050672,001811: 00,2377 12401 TCF +2 # OVERFLOW ON ZERO DIVISOR. 050673,001812: 00,2400 12416 TCF BUF- 050674,001813: 050675,001814: 00,2401 40154 CS MPAC # SIGN OF MPAC DETERMINES SIGN OF RESULT. 050676,001815: 00,2402 00006 SGNDVOVF EXTEND 050677,001816: 00,2403 62405 BZMF +2 050678,001817: 00,2404 24136 INCR DVSIGN # NEGMAX IN MPAC PERHAPS. 050679,001818: 00,2405 34777 DVOVF CAF POSMAX # ON DIVISION OVERFLOW OF ANY SORT, SET 050680,001819: 00,2406 54154 TS MPAC # SET DP MPAC TO +-POSMAX. 050681,001820: 00,2407 02630 TC FINALDV +3 050682,001821: 00,2410 35017 CAF ONE # SET OVEFLOW INDICATOR AND EXIT. 050683,001822: 00,2411 54121 TS OVFIND 050684,001823: 00,2412 06030 TC DANZIG 050685,001824: 050686,001825: 00,2413 24136 -1 INCR DVSIGN 050687,001826: 00,2414 40131 OVF+ CS BUF +1 # LOAD LOWER ORDER PART OF DIVISOR. 050688,001827: 00,2415 12402 TCF SGNDVOVF # GET SIGN OF RESULT. 050689,001828: 050690,001829: 00,2416 00006 BUF- EXTEND # IF BUF IS NEGATIVE, COMPLEMENT IT AND 050691,001830: 00,2417 40131 DCS BUF # MAINTAIN DVSIGN FOR FINAL QUOTIENT SIGN. 050692,001831: 00,2420 52131 DXCH BUF 050693,001832: 00,2421 24136 INCR DVSIGN # NOW -0. 050694,001833: 050695,001834: # Page 1163 050696,001835: 00,2422 10154 BUF+ CCS MPAC # FORCE MPAC POSITIVE, CHECKING FOR ZERO 050697,001836: 00,2423 12437 TCF MPAC+ # DIVIDEND IN THE PROCESS. 050698,001837: 00,2424 12426 TCF +2 050699,001838: 00,2425 12433 TCF MPAC- 050700,001839: 00,2426 10155 CCS MPAC +1 050701,001840: 00,2427 12437 TCF MPAC+ 050702,001841: 00,2430 16030 TCF DANZIG # EXIT IMMEDIATELY ON ZERO DIVIDEND. 050703,001842: 00,2431 12433 TCF MPAC- 050704,001843: 00,2432 16030 TCF DANZIG 050705,001844: 050706,001845: 00,2433 00006 MPAC- EXTEND # FORCE MPAC POSITIVE AS BUF IN BUF-. 050707,001846: 00,2434 40155 DCS MPAC 050708,001847: 00,2435 52155 DXCH MPAC 050709,001848: 00,2436 24136 INCR DVSIGN # NOW +1 OR -0. 050710,001849: 050711,001850: # Page 1164 050712,001851: 00,2437 40154 MPAC+ CS MPAC # CHECK FOR DIVISION OVERFLOW. IF THE 050713,001852: 00,2440 67716 AD NEGONE # MAJOR PART OF THE DIVIDEND IS LESS THAN 050714,001853: 00,2441 60130 AD BUF # THE MAJOR PART OF THE DIVISOR BY AT 050715,001854: 00,2442 10000 CCS A # LEAST TWO, WE CAN PROCEED IMMEDIATELY 050716,001855: 00,2443 12505 TCF DVNORM # WITHOUT NORMALIZATION PRODUCING A DVMAX. 050717,001856: 00,2444 60001 -1/2+2 OCT 60001 # USED IN SQRTSUB. 050718,001857: 050719,001858: 00,2445 12446 TCF +1 # IF THE ABOVE DOES NOT HOLD, FORCE SIGN 050720,001859: 00,2446 35002 CAF HALF # AGREEMENT IN NUMERATOR AND DENOMINATOR 050721,001860: 00,2447 60000 DOUBLE # TO FACILITATE OVERFLOW AND NEAR-ONE 050722,001861: 00,2450 60155 AD MPAC +1 # CHECKING. 050723,001862: 00,2451 54155 TS MPAC +1 050724,001863: 00,2452 35021 CAF ZERO 050725,001864: 00,2453 64777 AD POSMAX 050726,001865: 00,2454 26154 ADS MPAC 050727,001866: 050728,001867: 00,2455 35002 CAF HALF # SAME FOR BUF. 050729,001868: 00,2456 60000 DOUBLE 050730,001869: 00,2457 60131 AD BUF +1 050731,001870: 00,2460 54131 TS BUF +1 050732,001871: 00,2461 35021 CAF ZERO 050733,001872: 00,2462 64777 AD POSMAX 050734,001873: 00,2463 26130 ADS BUF 050735,001874: 050736,001875: 00,2464 40154 CS MPAC # CHECK MAGNITUDE OF SIGN-CORRECTED 050737,001876: 00,2465 60130 AD BUF # OPERANDS. 050738,001877: 00,2466 10000 CCS A 050739,001878: 00,2467 12505 TCF DVNORM # DIVIDE OK -- WILL NOT BECOME MAXOV CASE. 050740,001879: 00,2470 00133 LBUF2 ADRES BUF2 050741,001880: 00,2471 12405 TCF DVOVF # DIVISOR NOT LESS THAN DIVIDEND -- OVF. 050742,001881: 050743,001882: 00,2472 54140 TS MAXDVSW # IF THE MAJOR PARTS OF THE DIVIDEND AND 050744,001883: 00,2473 40155 CS MPAC +1 # DIVISOR ARE EQUAL, A SPECIAL APPROXIMA- 050745,001884: 00,2474 60131 AD BUF +1 # TION IS USED (PROVIDED THE DIVISION IS 050746,001885: 00,2475 00006 EXTEND # POSSIBLE, OF COURSE). 050747,001886: 00,2476 62405 BZMF DVOVF 050748,001887: 00,2477 12505 TCF DVNORM # IF NO OVERFLOW. 050749,001888: 050750,001889: # Page 1165 050751,001890: 00,2500 00006 BUFNORM EXTEND # ADD -1 TO AUGMENT SHIFT COUNT AND SHIFT 050752,001891: 00,2501 24137 AUG DVNORMCT # LEFT ONE PLACE. 050753,001892: 00,2502 00006 EXTEND 050754,001893: 00,2503 30131 DCA BUF 050755,001894: 00,2504 20131 DAS BUF 050756,001895: 050757,001896: 00,2505 30130 DVNORM CA BUF # SEE IF DIVISOR NORMALIZED YET. 050758,001897: 00,2506 60000 DOUBLE 050759,001898: 00,2507 54000 OVSK 050760,001899: 00,2510 12500 TCF BUFNORM # NO -- SHIFT LEFT ONE AND TRY AGAIN. 050761,001900: 050762,001901: 00,2511 52155 DXCH MPAC # CALL DIVIDEND NORMALIZATION SEQUENCE 050763,001902: 00,2512 50137 INDEX DVNORMCT # PRIOR TO DOING THE DIVIDE. 050764,001903: 00,2513 02565 TC MAXTEST 050765,001904: 050766,001905: 00,2514 54156 TS MPAC +2 # RETURNS WITH DIVISION DONE AND C(A) = 0. 050767,001906: 00,2515 16030 TCF DANZIG 050768,001907: 050769,001908: 00,2516 10000 BUFPOS CCS A 050770,001909: 00,2517 12422 TCF BUF+ # TO BUF+ IF BUF IS GREATER THAN +1. 050771,001910: 050772,001911: 00,2520 40131 CS BUF +1 # IF BUF IS +1, FORCING SIGN AGREEMENT 050773,001912: 00,2521 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO. 050774,001913: 00,2522 62422 BZMF BUF+ # BRANCH IF SIGNS AGREE. 050775,001914: 050776,001915: 00,2523 35002 CA HALF # SIGNS DISAGREE. FORCE AGREEMENT. 050777,001916: 00,2524 60000 +6 DOUBLE 050778,001917: 00,2525 26131 ADS BUF +1 050779,001918: 00,2526 35021 CA ZERO 050780,001919: 00,2527 54130 TS BUF 050781,001920: 00,2530 12363 TCF BUFZERO 050782,001921: 050783,001922: 00,2531 10000 BUFNEG CCS A 050784,001923: 00,2532 12416 TCF BUF- # TO BUF- IF BUF IS LESS THAN -1. 050785,001924: 050786,001925: 00,2533 30131 CA BUF +1 # IF BUF IS -1, FORCING SIGN AGREEMENT 050787,001926: 00,2534 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO. 050788,001927: 00,2535 62416 BZMF BUF- # BRANCH IF SIGNS AGREE. 050789,001928: 050790,001929: 00,2536 45002 CS HALF # SIGNS DISAGREE. FORCE AGREEMENT. 050791,001930: 00,2537 12524 TCF BUFPOS +6 050792,001931: 050793,001932: # Page 1166 050794,001933: # THE FOLLOWING ARE PROLOGUES TO SHIFT THE DIVIDEND ARRIVING IN A AND L BEFORE THE DIVIDE. 050795,001934: 050796,001935: 00,2540 22021 -21D LXCH SR # SPECIAL PROLOGUE FOR UNIT WHEN THE 050797,001936: 00,2541 00006 EXTEND # LENGTH OF THE ARGUMENT WAS NOT LESS THAN 050798,001937: 00,2542 75002 MP HALF # .5. IN THIS CASE, EACH COMPONENT MUST BE 050799,001938: 00,2543 56001 XCH L # SHIFTED RIGHT ONE TO PRODUCE A HALF-UNIT 050800,001939: 00,2544 60021 AD SR # VECTOR. 050801,001940: 00,2545 56001 XCH L 050802,001941: 00,2546 12571 TCF GENDDV +1 # WITH DP DIVIDEND IN A,L. 050803,001942: 050804,001943: 00,2547 20001 DDOUBL # PROLOGUE WHICH NORMALIZES THE DIVIDEND 050805,001944: 00,2550 20001 DDOUBL # WHEN IT IS KNOWN THAT NO DIVISION 050806,001945: 00,2551 20001 DDOUBL # OVEFLOW WILL OCCUR. 050807,001946: 00,2552 20001 DDOUBL 050808,001947: 00,2553 20001 DDOUBL 050809,001948: 00,2554 20001 DDOUBL 050810,001949: 00,2555 20001 DDOUBL 050811,001950: 00,2556 20001 DDOUBL 050812,001951: 00,2557 20001 DDOUBL 050813,001952: 00,2560 20001 DDOUBL 050814,001953: 00,2561 20001 DDOUBL 050815,001954: 00,2562 20001 DDOUBL 050816,001955: 00,2563 20001 DDOUBL 050817,001956: 00,2564 52155 DXCH MPAC 050818,001957: 050819,001958: 00,2565 10140 MAXTEST CCS MAXDVSW # 0 IF MAJORS MIGHT BE =, -1 OTHERWISE. 050820,001959: 00,2566 06552 BIASHI DEC .4192 B-1 # SQRT CONSTANTS. 050821,001960: 050822,001961: 00,2567 12642 TCF MAXDV # CHECK TO SEE IF THAY ARE NOW EQUAL. 050823,001962: 050824,001963: # Page 1167 050825,001964: # THE FOLLOWING IS A GENERAL PURPOSE DOUBLE PRECISION DIVISION ROUTINE. IT DIVIDES MPAC BY BUF AND LEAVES 050826,001965: # THE RESULT IN MPAC. THE FOLLOWING CONDITIONS MUST BE SATISFIED: 050827,001966: 050828,001967: # 1. THE DIVISOR (BUF) MUST BE POSITIVE AND NOT LESS THAN .5. 050829,001968: 050830,001969: # 2. THE DIVIDEND (MPAC) MUST BE POSITIVE WITH THE MAJOR PART OF MPAC STRICTLY LESS THAN THAT OF BUF 050831,001970: # (A SPECIAL APPROXIMATION, MAXDV, IS USED WHEN THE MAJOR PARTS ARE EQUAL). 050832,001971: 050833,001972: # UNDERSTANDING THAT A/B = Q + S(R/B) WHERE S = 2(-14) AND Q AND R ARE QUOTIENT AND REMAINDER, RESPEC- 050834,001973: # TIVELY, THE FOLLOWING APPROXIMATION IS OBTAINED BY MULTIPLYING ABOVE AND BELOW BY C - SD AND NEGLECTING TERMS OF 050835,001974: # ORDER S-SQUARED (POSSIBLY INTRODUCING ERROR INTO THE LOW TWO BITS OF THE RESULT). SIGN AGREEMENT IS UNNECESSARY. 050836,001975: 050837,001976: # A + SB . (R - CD) A + SB 050838,001977: # ------ = Q + S(------) WHERE Q AND R ARE QUOTIENT AND REMAINDER OF ------ RESPECTIVELY. 050839,001978: # C + SD ( C } C 050840,001979: 050841,001980: 00,2570 52155 GENDDV DXCH MPAC # WE NEED A AND B ONLY FOR FIRST DV. 050842,001981: 00,2571 00006 +1 EXTEND # (SPECIAL UNIT PROLOGUE ENTERS HERE). 050843,001982: 00,2572 10130 DV BUF # A NOW CONTAINS Q AND L, R. 050844,001983: 00,2573 52155 DXCH MPAC 050845,001984: 050846,001985: 00,2574 40154 CS MPAC # FORM DIVIDEND FOR MINOR PART OF RESULT. 050847,001986: 00,2575 00006 EXTEND 050848,001987: 00,2576 70131 MP BUF +1 050849,001988: 00,2577 60155 AD MPAC +1 # OVERFLOW AT THIS POINT IS POSITIVE SINCE 050850,001989: 00,2600 54000 OVSK # R IS POSITIVE IN EVERY CASE. 050851,001990: 00,2601 12606 TCF +5 050852,001991: 050853,001992: 00,2602 00006 EXTEND # OVERFLOW CAN BE REMOVED BY SUBTRACTING C 050854,001993: 00,2603 60130 SU BUF # (BUF) ONCE SINCE R IS ALWAYS LESS THAN C 050855,001994: 00,2604 24154 INCR MPAC # IN THIS CASE. INCR COMPENSATES SUBTRACT. 050856,001995: 00,2605 12610 TCF +DOWN # (SINCE C(A) IS STILL POSITIVE). 050857,001996: 050858,001997: 00,2606 00006 +5 EXTEND # C(A) CAN BE MADE LESS THAN C IN MAGNI- 050859,001998: 00,2607 62620 BZMF -UP # TUDE BY DIMINISHING IT BY C (SINCE C IS 050860,001999: # NOT LESS THAN .5) UNLESS C(A) = 0. 050861,002000: 050862,002001: # Page 1168 050863,002002: 00,2610 00006 +DOWN EXTEND 050864,002003: 00,2611 60130 SU BUF # IF POSITIVE, REDUCE ONLY IF NECESSARY 050865,002004: 00,2612 00006 EXTEND # SINCE THE COMPENSATING INCR MIGHT CAUSE 050866,002005: 00,2613 12616 BZF +3 # OVERFLOW. 050867,002006: 00,2614 00006 EXTEND # DON'T SUBTRACT UNLESS RESULT IS POSITIVE 050868,002007: 00,2615 62624 BZMF ENDMAXDV # OR ZERO. 050869,002008: 050870,002009: 00,2616 24154 +3 INCR MPAC # KEEP SUBTRACT HERE AND COMPENSATE. 050871,002010: 00,2617 12625 TCF FINALDV 050872,002011: 050873,002012: 00,2620 00006 -UP EXTEND # IF ZERO, SET MINOR PART OF RESULT TO 050874,002013: 00,2621 12630 BZF FINALDV +3 # ZERO. 050875,002014: 050876,002015: 00,2622 00006 EXTEND # IF NEGATIVE, ADD C TO A, SUBTRACTING ONE 050877,002016: 00,2623 26154 DIM MPAC # TO COMPENSATE. DIM IS OK HERE SINCE THE 050878,002017: 00,2624 60130 ENDMAXDV AD BUF # MAJOR PART NEVER GOES NEGATIVE. 050879,002018: 050880,002019: # Page 1169 050881,002020: 00,2625 22007 FINALDV ZL # DO DV TO OBTAIN MINOR PART OF RESULT. 050882,002021: 00,2626 00006 EXTEND 050883,002022: 00,2627 10130 DV BUF 050884,002023: 00,2630 54155 +3 TS MPAC +1 050885,002024: 050886,002025: 00,2631 10136 CCS DVSIGN # LEAVE RESULT POSITIVE UNLESS C(DVSIGN). 050887,002026: 00,2632 00002 TC Q 050888,002027: 00,2633 00002 TC Q 050889,002028: 00,2634 00002 TC Q 050890,002029: 050891,002030: 00,2635 00006 EXTEND 050892,002031: 00,2636 40155 DCS MPAC 050893,002032: 00,2637 52155 DXCH MPAC 050894,002033: 00,2640 35021 CAF ZERO # SO WE ALWAYS RETURN WITH C(A) = 0. 050895,002034: 00,2641 00002 TC Q 050896,002035: 050897,002036: # Page 1170 050898,002037: # IF THE MAJOR PARTS OF THE DIVISOR AND DIVIDEND ARE EQUAL, BUT THE MINOR PARTS ARE SUCH THAT THE 050899,002038: # DIVIDEND IS STRICTLY LESS THAN THE DIVISOR IN MAGNITUDE, THE FOLLOWING APPROXIMATION IS USED. THE ASSUMPTIONS 050900,002039: # ARE THE SAME AS THE GENERAL ROUTINE WITH THE ADDITION THAT SIGN AGREEMENT IS NECESSARY (B, C, & D POSITIVE). 050901,002040: 050902,002041: # C + SB . (C + B - D) 050903,002042: # ------ = 37777 + S(---------) 050904,002043: # C + SD ( C ) 050905,002044: 050906,002045: # THE DIVISION MAY BE PERFORMED IMMEDIATELY SINCE B IS STRICTLY LESS THAN D AND C IS NOT LESS THAN .5. 050907,002046: 050908,002047: 00,2642 40154 MAXDV CS MPAC # SEE IF MAXDV CASE STILL HOLDS AFTER 050909,002048: 00,2643 60130 AD BUF # NORMALIZATION. 050910,002049: 00,2644 00006 EXTEND 050911,002050: 00,2645 12647 BZF +2 050912,002051: 00,2646 12570 TCF GENDDV # MPAC NOW LESS THAN BUFF -- DIVIDE AS USUAL. 050913,002052: 050914,002053: 00,2647 34777 +2 CAF POSMAX # SET MAJOR PART OF RESULT. 050915,002054: 00,2650 54154 TS MPAC 050916,002055: 050917,002056: 00,2651 40131 CS BUF +1 # FORM DIVIDEND OF MINOR PART OF RESULT. 050918,002057: 00,2652 60155 AD MPAC +1 050919,002058: 00,2653 12624 TCF ENDMAXDV # GO ADD C AND DO DIVIDE, ATTACHING SIGN 050920,002059: # BEFORE EXITING. 050921,002060: 050922,002061: # Page 1171 050923,002062: # VECTOR DIVIDED BY SCALAR, V/SC, IS EXECUTED HERE. THE VECTOR IS NOW IN MPAC WITH SCALAR IN BUF. 050924,002063: 050925,002064: 00,2654 45017 V/SC2 CS ONE # INITIALIZE DIVIDEND NORMALIZATION COUNT 050926,002065: 00,2655 54137 TS DVNORMCT # AND DIVISION SIGN REGISTER. 050927,002066: 00,2656 54127 TS VBUF +5 050928,002067: 050929,002068: 00,2657 03010 TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR 050930,002069: 050931,002070: 00,2660 52131 DXCH BUF 050932,002071: 00,2661 07513 TC ALSIGNAG # SIGN AGREE BUF 050933,002072: 00,2662 52131 DXCH BUF 050934,002073: 00,2663 10130 CCS BUF # FORCE DIVISOR POSITIVE WITH MAJOR PART 050935,002074: 00,2664 12721 TCF /BUF+ # NON-ZERO (IF POSSIBLE). 050936,002075: 00,2665 12667 TCF +2 050937,002076: 00,2666 12715 TCF /BUF- 050938,002077: 050939,002078: 00,2667 56131 XCH BUF +1 # SHIFT VECTOR AND SCALAR LEFT 14. 050940,002079: 00,2670 56130 XCH BUF 050941,002080: 00,2671 56155 XCH MPAC +1 050942,002081: 00,2672 56154 XCH MPAC 050943,002082: 00,2673 00006 EXTEND # CHECK FOR OVERFLOW IN EACH CASE. 050944,002083: 00,2674 12676 BZF +2 050945,002084: 00,2675 12405 TCF DVOVF 050946,002085: 050947,002086: 00,2676 56160 XCH MPAC +4 050948,002087: 00,2677 56157 XCH MPAC +3 050949,002088: 00,2700 00006 EXTEND 050950,002089: 00,2701 12703 BZF +2 050951,002090: 00,2702 12405 TCF DVOVF 050952,002091: 050953,002092: 00,2703 56162 XCH MPAC +6 050954,002093: 00,2704 56161 XCH MPAC +5 050955,002094: 00,2705 00006 EXTEND 050956,002095: 00,2706 12710 BZF +2 050957,002096: 00,2707 12405 TCF DVOVF 050958,002097: 050959,002098: 00,2710 10130 CCS BUF 050960,002099: 00,2711 12721 TCF /BUF+ 050961,002100: 00,2712 12405 TCF DVOVF # ZERO DIVISOR - OVERFLOW. 050962,002101: 00,2713 12715 TCF /BUF- 050963,002102: 00,2714 12405 TCF DVOVF 050964,002103: 050965,002104: 00,2715 00006 /BUF- EXTEND # ON NEGATIVE, COMPLEMENT BUF AND MAINTAIN 050966,002105: 00,2716 40131 DCS BUF # DVSIGN IN VBUF +5. 050967,002106: 00,2717 52131 DXCH BUF 050968,002107: 00,2720 24127 INCR VBUF +5 050969,002108: 050970,002109: # Page 1172 050971,002110: 00,2721 00006 /BUF+ EXTEND 050972,002111: 00,2722 30131 DCA BUF # LEAVE ABS(ORIG DIVISOR) IN BUF2 050973,002112: 00,2723 52134 DXCH BUF2 # FOR OVERFLOW TESTING 050974,002113: 00,2724 12732 TCF /NORM # NORMALIZE DIVISOR IN BUF. 050975,002114: 050976,002115: 00,2725 00006 /NORM2 EXTEND # IF LESS THAN .5, AUGMENT DVNORMCT AND 050977,002116: 00,2726 24137 AUG DVNORMCT # DOUBLE DIVISOR. 050978,002117: 00,2727 00006 EXTEND 050979,002118: 00,2730 30131 DCA BUF 050980,002119: 00,2731 20131 DAS BUF 050981,002120: 050982,002121: 00,2732 30130 /NORM CA BUF # SEE IF DIVISOR NORMALIZED. 050983,002122: 00,2733 60000 DOUBLE 050984,002123: 00,2734 54000 OVSK 050985,002124: 00,2735 12725 TCF /NORM2 # DOUBLE AND TRY AGAIN IF NOT. 050986,002125: 050987,002126: 00,2736 02750 TC V/SCDV # DO X COMPONENT DIVIDE. 050988,002127: 00,2737 52160 DXCH MPAC +3 # SUPPLY ARGUMENTS IN USUAL SEQUENCE. 050989,002128: 00,2740 52155 DXCH MPAC 050990,002129: 00,2741 52160 DXCH MPAC +3 050991,002130: 050992,002131: 00,2742 02750 TC V/SCDV # Y COMPONENT. 050993,002132: 00,2743 52162 DXCH MPAC +5 050994,002133: 00,2744 52155 DXCH MPAC 050995,002134: 00,2745 52162 DXCH MPAC +5 050996,002135: 050997,002136: 00,2746 02750 TC V/SCDV # Z COMPONENT. 050998,002137: 00,2747 17367 TCF VROTATEX # GO RE-ARRANGE COMPONENTS BEFORE EXIT. 050999,002138: 051000,002139: # Page 1173 051001,002140: # SUBROUTINE USED BY V/SC TO DIVIDE VECTOR COMPONENT IN MPAC,+1 BY THE SCALAR GIVEN IN BUF. 051002,002141: 051003,002142: 00,2750 30127 V/SCDV CA VBUF +5 # REFLECTS SIGN OF SCALAR. 051004,002143: 00,2751 54136 TS DVSIGN 051005,002144: 051006,002145: 00,2752 10154 CCS MPAC # FORCE MPAC POSITIVE, EXITING ON ZERO. 051007,002146: 00,2753 12767 TCF /MPAC+ 051008,002147: 00,2754 12756 TCF +2 051009,002148: 00,2755 12763 TCF /MPAC- 051010,002149: 051011,002150: 00,2756 10155 CCS MPAC +1 051012,002151: 00,2757 12767 TCF /MPAC+ 051013,002152: 00,2760 00002 TC Q 051014,002153: 00,2761 12763 TCF /MPAC- 051015,002154: 00,2762 00002 TC Q 051016,002155: 051017,002156: 00,2763 00006 /MPAC- EXTEND # USUAL COMPLEMENTING AND SETTING OF SIGN. 051018,002157: 00,2764 40155 DCS MPAC 051019,002158: 00,2765 52155 DXCH MPAC 051020,002159: 00,2766 24136 INCR DVSIGN 051021,002160: 051022,002161: 00,2767 45017 /MPAC+ CS ONE # INITIALIZE NEAR-ONE SWITCH. 051023,002162: 00,2770 54140 TS MAXDVSW 051024,002163: 051025,002164: 00,2771 40154 CS MPAC # CHECK POSSIBLE OVERFLOW. 051026,002165: 00,2772 60133 AD BUF2 # UNNORMALIZED INPUT DIVISOR. 051027,002166: 00,2773 10000 CCS A 051028,002167: 00,2774 13004 TCF DDVCALL # NOT NEAR-ONE 051029,002168: 00,2775 12777 TCF +2 # +0 IS JUST POSSIBLE 051030,002169: 00,2776 12405 TCF DVOVF # NO HOPE 051031,002170: 00,2777 54140 TS MAXDVSW # SIGNAL POSSIBLE NEAR-ONE CASE 051032,002171: 00,3000 40155 CS MPAC +1 # SEE IF DIVISION CAN BE DONE 051033,002172: 00,3001 60134 AD BUF2 +1 051034,002173: 00,3002 00006 EXTEND 051035,002174: 00,3003 62405 BZMF DVOVF 051036,002175: 051037,002176: 00,3004 52155 DDVCALL DXCH MPAC # CALL PRE-DIVIDE NORMALIZATION. 051038,002177: 00,3005 50137 INDEX DVNORMCT 051039,002178: 00,3006 12565 TCF MAXTEST 051040,002179: 051041,002180: # Page 1174 051042,002181: 00,3007 32506 SLOPELO DEC .8324 051043,002182: 051044,002183: 00,3010 56002 VECAGREE XCH Q # SAVE Q IN A 051045,002184: 00,3011 52155 DXCH MPAC 051046,002185: 00,3012 07513 TC ALSIGNAG # SIGNAGREE MPAC 051047,002186: 00,3013 52155 DXCH MPAC 051048,002187: 00,3014 52160 DXCH MPAC +3 051049,002188: 00,3015 07513 TC ALSIGNAG # SIGN AGREE MPAC +3 051050,002189: 00,3016 52160 DXCH MPAC +3 051051,002190: 00,3017 52162 DXCH MPAC +5 051052,002191: 00,3020 07513 TC ALSIGNAG # SIGNAGREE MPAC +5 051053,002192: 00,3021 52162 DXCH MPAC +5 051054,002193: 00,3022 00000 TC A 051055,002194: 051056,002195: # Page 1175 051057,002196: # THE FOLLOWING ROUTINE EXECUTES THE UNIT INSTRUCTION, WHICH TAKES THE UNIT OF THE VECTOR IN MPAC. 051058,002197: 051059,002198: 00,3023 03010 UNIT TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR 051060,002199: 00,3024 07501 TC MPACVBUF # SAVE ARGUMENT IN VBUF 051061,002200: 00,3025 35021 CAF ZERO # MUST SENSE OVERFLOW IN FOLLOWING DOT. 051062,002201: 00,3026 56121 XCH OVFIND 051063,002202: 00,3027 54141 TS TEM1 051064,002203: 00,3030 03317 TC VSQSUB # DOT MPAC WITH ITSELF. 051065,002204: 00,3031 30141 CA TEM1 051066,002205: 00,3032 56121 XCH OVFIND 051067,002206: 00,3033 00006 EXTEND 051068,002207: 00,3034 13036 BZF +2 051069,002208: 00,3035 12405 TCF DVOVF 051070,002209: 00,3036 00006 EXTEND 051071,002210: 00,3037 30155 DCA MPAC # LEAVE THE SQUARE OF THE LENGTH OF THE 051072,002211: 00,3040 50120 INDEX FIXLOC # ARGUMENT IN LVSQUARE. 051073,002212: 00,3041 52043 DXCH LVSQUARE 051074,002213: 051075,002214: 00,3042 03343 TC SQRTSUB # GO TAKE THE NORMALIZED SQUARE ROOT. 051076,002215: 051077,002216: 00,3043 10154 CCS MPAC # CHECK FOR UNIT OVERFLOW. 051078,002217: 00,3044 13051 TCF +5 # MPAC IS NOT LESS THAN .5 UNLESS 051079,002218: 00,3045 54001 TS L 051080,002219: 00,3046 50120 INDEX FIXLOC 051081,002220: 00,3047 52045 DXCH LV 051082,002221: 00,3050 12405 TCF DVOVF # INPUT TO SQRTSUB WAS 0. 051083,002222: 051084,002223: 00,3051 44333 CS FOURTEEN # SEE IF THE INPUT WAS SO SMALL THAT THE 051085,002224: 00,3052 60135 AD MPTEMP # FIRST TWO REGISTERS OF THE SQUARE WERE 0 051086,002225: 00,3053 10000 CCS A 051087,002226: 00,3054 40000 COM # IF SO, SAVE THE NEGATIVE OF THE SHIFT 051088,002227: 00,3055 13133 TCF SMALL # COUNT -15D. 051089,002228: 051090,002229: 00,3056 13065 TCF LARGE # (THIS IS USUALLY THE CASE.) 051091,002230: 051092,002231: 00,3057 45025 CS THIRTEEN # IF THE SHIFT COUNT WAS EXACTLY 14, SET 051093,002232: 00,3060 54135 TS MPTEMP # THE PRE-DIVIDE NORM COUNT TO -13D. 051094,002233: 051095,002234: 00,3061 30154 CA MPAC # SHIFT THE LENGTH RIGHT 14 BEFORE STORING 051096,002235: 00,3062 54001 SMALL2 TS L # (SMALL EXITS TO THIS POINT). 051097,002236: 00,3063 35021 CAF ZERO 051098,002237: 00,3064 13112 TCF LARGE2 # GO TO STORE LENGTH AND PROCEED. 051099,002238: 051100,002239: 00,3065 10135 LARGE CCS MPTEMP # MOST ALL CASES COME HERE. 051101,002240: 00,3066 13074 TCF LARGE3 # SEE IF NO NORMALIZATION WAS REQUIRED BY 051102,002241: 00,3067 42024 CS SRDDV # SQRT, AND IF SO, SET UP FOR A SHIFT 051103,002242: 00,3070 54135 TS MPTEMP # RIGHT 1 BEFORE DIVIDING TO PRODUCE 051104,002243: 00,3071 00006 EXTEND # THE DESIRED HALF UNIT VECTOR. 051105,002244: 00,3072 30155 DCA MPAC 051106,002245: # Page 1176 051107,002246: 00,3073 13112 TCF LARGE2 051108,002247: 051109,002248: # Page 1177 051110,002249: 00,3074 40000 LARGE3 COM # LEAVE NEGATIVE OF SHIFT COUNT-1 FOR 051111,002250: 00,3075 54135 TS MPTEMP # PREDIVIDE LEFT SHIFT. 051112,002251: 051113,002252: 00,3076 40000 COM # PICK UP REQUIRED SHIFTING BIT TO UNNORM- 051114,002253: 00,3077 50000 INDEX A # ALIZE THE SQRT RESULT. 051115,002254: 00,3100 35002 CAF BIT14 051116,002255: 00,3101 54130 TS BUF 051117,002256: 00,3102 00006 EXTEND 051118,002257: 00,3103 70155 MP MPAC +1 051119,002258: 00,3104 56130 XCH BUF 051120,002259: 00,3105 00006 EXTEND # (UNNORMALIZE THE SQRT FOR LV). 051121,002260: 00,3106 70154 MP MPAC 051122,002261: 00,3107 56001 XCH L 051123,002262: 00,3110 60130 AD BUF 051124,002263: 00,3111 56001 XCH L 051125,002264: 051126,002265: 00,3112 50120 LARGE2 INDEX FIXLOC 051127,002266: 00,3113 52045 DXCH LV # LENGTH NOW STORED IN WORK AREA. 051128,002267: 051129,002268: 00,3114 45017 CS ONE 051130,002269: 00,3115 54140 TS MAXDVSW # NO MAXDV CASES IN UNIT. 051131,002270: 051132,002271: 00,3116 52123 DXCH VBUF # PREPARE X COMPONENT FOR DIVIDE, SETTING 051133,002272: 00,3117 52155 DXCH MPAC # LENGTH OF VECTOR AS DIVISOR IN BUF. 051134,002273: 00,3120 52131 DXCH BUF 051135,002274: 00,3121 03151 TC UNITDV 051136,002275: 051137,002276: 00,3122 52125 DXCH VBUF +2 # DO Y AND Z IN USUAL FASHION SO WE CAN 051138,002277: 00,3123 52155 DXCH MPAC # EXIT THROUGH VROTATEX. 051139,002278: 00,3124 52160 DXCH MPAC +3 051140,002279: 00,3125 03151 TC UNITDV 051141,002280: 051142,002281: 00,3126 52127 DXCH VBUF +4 051143,002282: 00,3127 52155 DXCH MPAC 051144,002283: 00,3130 52162 DXCH MPAC +5 051145,002284: 00,3131 03151 TC UNITDV 051146,002285: 00,3132 17367 TCF VROTATEX # AND EXIT. 051147,002286: 051148,002287: # Page 1178 051149,002288: # IF THE LENGTH OF THE ARGUMENT VECTOR WAS LESS THAN 2(-28), EACH COMPONENT MUST BE SHIFTED LEFT AT LEAST 051150,002289: # 14 PLACES BEFORE TEH DIVIDE, NOTE THAT IN THIS CASE, THE MAJOR PART OF EACH COMPONENT IS ZERO. 051151,002290: 051152,002291: 00,3133 54135 SMALL TS MPTEMP # NEGATIVE OF PRE-DIVIDE SHIFT COUNT. 051153,002292: 051154,002293: 00,3134 35021 CAF ZERO # SHIFT EACH COMPONENT LEFT 14. 051155,002294: 00,3135 56123 XCH VBUF +1 051156,002295: 00,3136 56122 XCH VBUF 051157,002296: 00,3137 56125 XCH VBUF +3 051158,002297: 00,3140 56124 XCH VBUF +2 051159,002298: 00,3141 56127 XCH VBUF +5 051160,002299: 00,3142 56126 XCH VBUF +4 051161,002300: 051162,002301: 00,3143 40135 CS MPTEMP 051163,002302: 00,3144 50000 INDEX A 051164,002303: 00,3145 35002 CAF BIT14 051165,002304: 00,3146 00006 EXTEND 051166,002305: 00,3147 70154 MP MPAC 051167,002306: 00,3150 13062 TCF SMALL2 051168,002307: 051169,002308: 00,3151 5025 THIRTEEN = OCT15 051170,002309: 00,3151 4333 FOURTEEN = OCT16 051171,002310: 00,3151 4333 OCT16 = R1D1 051172,002311: 051173,002312: # Page 1179 051174,002313: # THE FOLLOWING ROUTINE SETS UP THE CALL TO THE DIVIDE ROUTINES. 051175,002314: 051176,002315: 00,3151 10154 UNITDV CCS MPAC # FORCE MPAC POSITIVE IF POSSIBLE, SETTING 051177,002316: 00,3152 13170 TCF UMPAC+ # DVSIGN ACCORDING TO THE SIGN OF MPAC 051178,002317: 00,3153 13155 TCF +2 # SINCE THE DIVISOR IS ALWAYS POSITIVE 051179,002318: 00,3154 13162 TCF UMPAC- # HERE. 051180,002319: 051181,002320: 00,3155 10155 CCS MPAC +1 051182,002321: 00,3156 13170 TCF UMPAC+ 051183,002322: 00,3157 00002 TC Q # EXIT IMMEDIATELY ON ZERO. 051184,002323: 00,3160 13162 TCF UMPAC- 051185,002324: 00,3161 00002 TC Q 051186,002325: 051187,002326: 00,3162 45021 UMPAC- CS ZERO # IF NEGATIVE, SET -0 IN DVSIGN FOR FINAL 051188,002327: 00,3163 54136 TS DVSIGN # COMPLEMENT. 051189,002328: 00,3164 00006 EXTEND 051190,002329: 00,3165 40155 DCS MPAC # PICK UP ABSOLUTE VALUE OF ARG AND JUMP. 051191,002330: 00,3166 50135 INDEX MPTEMP 051192,002331: 00,3167 12564 TCF MAXTEST -1 051193,002332: 051194,002333: 00,3170 54136 UMPAC+ TS DVSIGN # SET DVSIGN FOR POSITIVE QUOTIENT. 051195,002334: 00,3171 52155 DXCH MPAC 051196,002335: 00,3172 50135 INDEX MPTEMP 051197,002336: 00,3173 12564 TCF MAXTEST -1 051198,002337: 051199,002338: # Page 1180 051200,002339: # MISCELLANEOUS UNARY OPERATIONS. 051201,002340: 051202,002341: 00,3174 03300 DSQ TC DSQSUB # SQUARE THE DP CONTENTS OF MPAC. 051203,002342: 00,3175 16030 TCF DANZIG 051204,002343: 051205,002344: 00,3176 10163 ABVALABS CCS MODE # ABVAL OR ABS INSTRUCTION. 051206,002345: 00,3177 13226 TCF ABS # DO ABS ON SCALAR. 051207,002346: 00,3200 13226 TCF ABS 051208,002347: 051209,002348: 00,3201 03317 ABVAL TC VSQSUB # DOT MPAC WITH ITSELF. 051210,002349: 00,3202 22163 LXCH MODE # MODE IS NOW DP (L ZERO AFTER DAS). 051211,002350: 051212,002351: 00,3203 00006 EXTEND # STORE SQUARE OF LENGTH IN WORK AREA. 051213,002352: 00,3204 30155 DCA MPAC 051214,002353: 00,3205 50120 INDEX FIXLOC 051215,002354: 00,3206 52043 DXCH LVSQUARE 051216,002355: 051217,002356: # Page 1181 051218,002357: # PROGRAM DESCRIPTION -- SUBROUTINE SQRT 051219,002358: 051220,002359: # FUNCTIONAL DESCRIPTION -- DOUBLE PRECISION SQUARE ROOT ROUTINE 051221,002360: # THIS PROGRAM TAKES THE SQUARE ROOT OF THE 27 OR 28 MOST SIGNIFICANT BITS IN THE TRIPLE PRECISION SET OF 051222,002361: # NUMBERS -- MPAC, MPAC+1, AND MPAC+2. THE ROOT IS RETURNED DOUBLE PRECISION IN MPAC AND MPAC+1. 051223,002362: 051224,002363: # WARNING -- THIS SUBROUTINE USES A TRIPLE PRECISION INPUT. THE PROGRAMMER MUST ASSURE THE CONTENTS OF MPAC+2 051225,002364: # ESPECIALLY IF THE CONTENTS OF MPAC IS SMALL OR ZERO. FOR DETAILS SEE STG MEMO NO.949. 051226,002365: 051227,002366: # CALLING SEQUENCE -- IN INTERPRETIVE MODE, I.E., FOLLOWING `TC INTPRET', `SQRT', NO ADDRESS IS ALLOWED. 051228,002367: # INPUT SCALING: THE BINARY POINT IS ASSUMED TO THE RIGHT OF BIT 15. THE ANSWER IS RETURNED WITH THE SAME SCALING. 051229,002368: 051230,002369: # SUBROUTINES -- GENSCR, MPACSHR, SQRTSUB, ABORT 051231,002370: 051232,002371: # ABORT EXIT MODE -- ABORTS ON NEGATIVE INPUT -1.2X10E-4 (77775 OCTAL) OR LESS. 051233,002372: # DISPLAYS ERROR CODE 1302 051234,002373: # TC ABORT 051235,002374: # OCT 1302 051236,002375: 051237,002376: # DEBRIS -- LOCATIONS BUF, MPTEMP, ADDRWD ARE USED 051238,002377: 051239,002378: 00,3207 03343 SQRT TC SQRTSUB # TAKE THE SQUARE ROOT OF MPAC. 051240,002379: 00,3210 10135 CCS MPTEMP # RETURNED NORMALIZED SQUARE ROOT. SEE IF 051241,002380: 00,3211 13213 TCF +2 # ANY UN-NORMALIZATION REQUIRED AND EXIT 051242,002381: 00,3212 16030 TCF DANZIG # IF NOT. 051243,002382: 051244,002383: 00,3213 63730 AD NEG12 # A RIGHT SHIFT OF MORE THAN 13 COULD BE 051245,002384: 00,3214 00006 EXTEND # REQUIRED IF INPUT WAS ZERO IN MPAC,+1. 051246,002385: 00,3215 63221 BZMF SQRTSHFT # GOES HERE IN MOST CASES. 051247,002386: 00,3216 22007 ZL # IF A LONG SHIFT IS REQUIRED, GO TO 051248,002387: 00,3217 22116 LXCH ADDRWD # GENERAL RIGHT SHIFT ROUTINES. 051249,002388: 00,3220 12303 TCF GENSCR +4 # ADDRWD WAS ZERO TO PREVENT ROUND. 051250,002389: 051251,002390: 00,3221 50135 SQRTSHFT INDEX MPTEMP # SELECT SHIFTING BIT AND EXIT THROUGH 051252,002391: 00,3222 35001 CAF BIT15 # SHIFT ROUTINES. 051253,002392: 00,3223 54135 TS MPTEMP 051254,002393: 00,3224 35021 CAF ZERO # TO ZERO MPAC +2 IN THE PROCESS. 051255,002394: 00,3225 12036 TCF MPACSHR +3 051256,002395: 051257,002396: 00,3226 06672 ABS TC BRANCH # TEST SIGN OF MPAC AND COMPLEMENT IF 051258,002397: 00,3227 16030 TCF DANZIG 051259,002398: 00,3230 16030 TCF DANZIG 051260,002399: 00,3231 17637 TCF COMP 051261,002400: 051262,002401: # Page 1182 051263,002402: 00,3232 45015 VDEF CS FOUR # VECTOR DEFINE -- ESSENTIALLY TREATS 051264,002403: 00,3233 26166 ADS PUSHLOC # SCALAR IN MPAC AS X COMPONENT, PUSHES UP 051265,002404: 00,3234 00006 EXTEND # FOR Y AND THEN AGAIN FOR Z. 051266,002405: 00,3235 50000 INDEX A 051267,002406: 00,3236 30003 DCA 2 051268,002407: 00,3237 52160 DXCH MPAC +3 051269,002408: 00,3240 00006 EXTEND 051270,002409: 00,3241 50166 INDEX PUSHLOC 051271,002410: 00,3242 30001 DCA 0 051272,002411: 00,3243 52162 DXCH MPAC +5 051273,002412: 00,3244 16470 TCF VMODE # MODE IS NON VECTOR. 051274,002413: 051275,002414: 00,3245 03317 VSQ TC VSQSUB # DOT MPAC WITH ITSELF. 051276,002415: 00,3246 17301 TCF DMODE # MODE IS NOW DP. 051277,002416: 051278,002417: 00,3247 00006 PUSH EXTEND # PUSH DOWN MPAC LEAVING IT LOADED. 051279,002418: 00,3250 30155 DCA MPAC 051280,002419: 00,3251 50166 INDEX PUSHLOC # PUSH DOWN FIRST TWO REGISTERS IN EACH 051281,002420: 00,3252 52001 DXCH 0 051282,002421: 051283,002422: 00,3253 50163 INDEX MODE # INCREMENT PUSHDOWN POINTER. 051284,002423: 00,3254 36213 CAF NO.WDS 051285,002424: 00,3255 26166 ADS PUSHLOC 051286,002425: 051287,002426: 00,3256 10163 CCS MODE 051288,002427: 00,3257 13272 TCF TPUSH # PUSH DOWN MPAC +2. 051289,002428: 00,3260 16030 TCF DANZIG # DONE FOR DP. 051290,002429: 051291,002430: 00,3261 00006 EXTEND # ON VECTOR, PUSH DOWN Y AND Z COMPONENTS. 051292,002431: 00,3262 30160 DCA MPAC +3 051293,002432: 00,3263 50166 INDEX PUSHLOC 051294,002433: 00,3264 51775 DXCH 0 -4 051295,002434: 00,3265 00006 EXTEND 051296,002435: 00,3266 30162 DCA MPAC +5 051297,002436: 00,3267 50166 INDEX PUSHLOC 051298,002437: 00,3270 51777 DXCH 0 -2 051299,002438: 00,3271 16030 TCF DANZIG 051300,002439: 051301,002440: 00,3272 30156 TPUSH CA MPAC +2 051302,002441: 00,3273 16523 TCF ENDTPUSH +2 051303,002442: 051304,002443: 00,3274 50120 RVQ INDEX FIXLOC # RVQ -- RETURN IVA QPRET. 051305,002444: 00,3275 30052 CA QPRET 051306,002445: 00,3276 54117 TS POLISH 051307,002446: 00,3277 16621 TCF GOTO +4 # (ASSUME QPRET POINTS TO FIXED ONLY.) 051308,002447: 051309,002448: # Page 1183 051310,002449: # THE FOLLOWING SUBROUTINES ARE USED IN SQUARING MPAC, IN BOTH THE SCALAR AND VECTOR SENSE. THEY ARE 051311,002450: # SPECIAL CASES OF DMPSUB AND DOTSUB, PUT IN TO SAVE SOME TIME. 051312,002451: 051313,002452: 00,3300 30155 DSQSUB CA MPAC +1 # SQUARES THE SCALAR CONTENTS OF MPAC. 051314,002453: 00,3301 00006 EXTEND 051315,002454: 00,3302 70000 SQUARE 051316,002455: 00,3303 54156 TS MPAC +2 051317,002456: 00,3304 35021 CAF ZERO # FORM 2(CROSS TERM). 051318,002457: 00,3305 56155 XCH MPAC +1 051319,002458: 00,3306 00006 EXTEND 051320,002459: 00,3307 70154 MP MPAC 051321,002460: 00,3310 20001 DDOUBL # AND MAYBE OVEFLOW. 051322,002461: 00,3311 20156 DAS MPAC +1 # AND SET A TO NET OVERFLOW. 051323,002462: 00,3312 56154 XCH MPAC 051324,002463: 00,3313 00006 EXTEND 051325,002464: 00,3314 70000 SQUARE 051326,002465: 00,3315 20155 DAS MPAC 051327,002466: 00,3316 00002 TC Q 051328,002467: 051329,002468: 00,3317 00006 VSQSUB EXTEND # DOTS THE VECTOR IN MPAC WITH ITSELF. 051330,002469: 00,3320 22137 QXCH DOTRET 051331,002470: 00,3321 03300 TC DSQSUB # SQUARE THE X COMPONENT. 051332,002471: 00,3322 52160 DXCH MPAC +3 051333,002472: 00,3323 52155 DXCH MPAC 051334,002473: 00,3324 52131 DXCH BUF # SO WE CAN END IN DOTSUB. 051335,002474: 00,3325 30156 CA MPAC +2 051336,002475: 00,3326 54132 TS BUF +2 051337,002476: 051338,002477: 00,3327 03300 TC DSQSUB # SQUARE Y COMPONENT. 051339,002478: 00,3330 52156 DXCH MPAC +1 051340,002479: 00,3331 20132 DAS BUF +1 051341,002480: 00,3332 60154 AD MPAC 051342,002481: 00,3333 60130 AD BUF 051343,002482: 00,3334 54130 TS BUF 051344,002483: 00,3335 13337 TCF +2 051345,002484: 00,3336 54121 TS OVFIND # IF OVERFLOW. 051346,002485: 051347,002486: 00,3337 52162 DXCH MPAC +5 051348,002487: 00,3340 52155 DXCH MPAC 051349,002488: 00,3341 03300 TC DSQSUB # SQUARE Z COMPONENT. 051350,002489: 00,3342 17154 TCF ENDDOT # END AS IN DOTSUB. 051351,002490: 051352,002491: # Page 1184 051353,002492: # DOUBLE PRECISION SQUARE ROOT ROUTINE. TAKE THE SQUARE ROOT OF THE TRIPLE PRECISION (MPAC +2 USED ONLY 051354,002493: # IN NORMALIZATION) CONTENTS OF MPAC AND LEAVE THE NORMALIZED RESULT IN MPAC (C(MPAC) GREATER THAN OR EQUAL TO 051355,002494: # .5). THE RIGHT SHIFT COUNT (TC UNNORMALIZE) IS LEFT IN MPTEMP. 051356,002495: 051357,002496: 00,3343 35021 SQRTSUB CAF ZERO # START BY ZEROING RIGHT SHIFT COUNT. 051358,002497: 00,3344 54135 TS MPTEMP 051359,002498: 051360,002499: 00,3345 10154 CCS MPAC # CHECK FOR POSITIVE ARGUMENT, SHIFTING 051361,002500: 00,3346 13404 TCF SMPAC+ # FIRST SIGNIFICANT MPAC REGISTER INTO 051362,002501: 00,3347 13351 TCF +2 # MPAC ITSELF. 051363,002502: 00,3350 13373 TCF SQRTNEG # SEE IF MAG OF ARGUMENT LESS THAN 10(-4). 051364,002503: 051365,002504: 00,3351 56156 XCH MPAC +2 # MPAC IS ZERO -- SHIFT LEFT 14. 051366,002505: 00,3352 56155 XCH MPAC +1 051367,002506: 00,3353 54154 TS MPAC 051368,002507: 00,3354 35023 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER. 051369,002508: 00,3355 54135 TS MPTEMP 051370,002509: 051371,002510: 00,3356 10154 CCS MPAC # SEE IF MPAC NOW PNZ. 051372,002511: 00,3357 13404 TCF SMPAC+ 051373,002512: 00,3360 13362 TCF +2 051374,002513: 00,3361 13376 TCF ZEROANS # NEGATIVE BUT LESS THAN 10(-4) IN MAG. 051375,002514: 051376,002515: 00,3362 56155 XCH MPAC +1 # XERO -- SHIFT LEFT 14 AGAIN. 051377,002516: 00,3363 54154 TS MPAC 051378,002517: 00,3364 35023 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER. 051379,002518: 00,3365 26135 ADS MPTEMP 051380,002519: 051381,002520: 00,3366 10154 CCS MPAC 051382,002521: 00,3367 13404 TCF SMPAC+ 051383,002522: 00,3370 00002 TC Q # SQRT(0) = 0. 051384,002523: 00,3371 13376 TCF ZEROANS 051385,002524: 00,3372 13452 TCF FIXROOT # DO NOT LEAVE SQRTSUB WITH -0 IN MPAC. 051386,002525: 051387,002526: 00,3373 10000 SQRTNEG CCS A # ARGUMENT IS NEGATIVE, BUT SEE IF SIGN- 051388,002527: 00,3374 13402 TCF SQRTABRT # CORRECTED ARGUMENT IS LESS THAN 10(-4) 051389,002528: 051390,002529: 00,3375 10155 CCS MPAC +1 # IN MAGNITUDE. IF SO, CALL ANSWER ZERO. 051391,002530: 00,3376 35021 ZEROANS CAF ZERO # FORCE ANSWER TO ZERO HERE. 051392,002531: 00,3377 13452 TCF FIXROOT 051393,002532: 00,3400 13402 TCF SQRTABRT 051394,002533: 00,3401 13452 TCF FIXROOT 051395,002534: 051396,002535: 00,3402 05721 SQRTABRT TC P00DOO 051397,002536: 00,3403 01302 OCT 1302 051398,002537: 051399,002538: # Page 1185 051400,002539: 00,3404 62444 SMPAC+ AD -1/2+2 # SEE IF ARGUMENT GREATER THAN OR EQUAL TO 051401,002540: 00,3405 00006 EXTEND # .5. 051402,002541: 00,3406 63455 BZMF SRTEST # IF SO, SEE IF LESS THAN .25. 051403,002542: 051404,002543: 00,3407 52155 DXCH MPAC # WE WILL TAKE THE SQUARE ROOT OF MPAC/2. 051405,002544: 00,3410 22021 LXCH SR # SHIFT RIGHT 1 AND GO TO THE SQRT ROUTINE 051406,002545: 00,3411 00006 EXTEND 051407,002546: 00,3412 75002 MP HALF 051408,002547: 00,3413 52155 DXCH MPAC 051409,002548: 00,3414 56021 XCH SR 051410,002549: 00,3415 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW. 051411,002550: 051412,002551: 00,3416 32314 ARGHI CAF SLOPEHI # ARGUMENT BETWEEN .25 AND .5, GET A 051413,002552: 00,3417 00006 EXTEND # LINEAR APPROXIMATION FOR THIS RANGE. 051414,002553: 00,3420 70154 MP MPAC 051415,002554: 00,3421 62566 AD BIASHI # X0/2 = (MPAC/2)(SLOPHI) + BIASHI/2. 051416,002555: 051417,002556: 00,3422 54130 +4 TS BUF # X0/2 (ARGLO ENTERS HERE). 051418,002557: 00,3423 30154 CA MPAC # SINGLE-PRECISION THROUGHOUT. 051419,002558: 00,3424 22007 ZL 051420,002559: 00,3425 00006 EXTEND 051421,002560: 00,3426 10130 DV BUF # (MPAC/2)/(X0/2) 051422,002561: 00,3427 00006 EXTEND 051423,002562: 00,3430 75002 MP HALF 051424,002563: 00,3431 26130 ADS BUF # X1 = X0/2 + .5(MPAX/2)/(X0/2) 051425,002564: 051426,002565: 00,3432 00006 EXTEND 051427,002566: 00,3433 75002 MP HALF # FORM UP X1/2. 051428,002567: 00,3434 52155 DXCH MPAC # SAVE AND BRING OUT ARGUMENT. 051429,002568: 00,3435 00006 EXTEND # TAKE DP QUOTIENT WITH X1. 051430,002569: 00,3436 10130 DV BUF 051431,002570: 00,3437 54131 TS BUF +1 # SAVE MAJOR PART OF QUOTIENT. 051432,002571: 00,3440 35021 CAF ZERO # FORM MINOR PART OF QUOTIENT USING 051433,002572: 00,3441 56001 XCH L # (REMAINDER,0). 051434,002573: 00,3442 00006 EXTEND 051435,002574: 00,3443 10130 DV BUF 051436,002575: 00,3444 54001 TS L # IN PREPARATION FOR DAS. 051437,002576: 00,3445 30131 CA BUF +1 051438,002577: 00,3446 20155 DAS MPAC # X2 = X1/2 + (MPAC/2)X1 051439,002578: 051440,002579: 00,3447 00006 EXTEND # OVERFLOWS IF ARG. NEAR POSMAX. 051441,002580: 00,3450 13454 BZF TCQBNK00 051442,002581: 00,3451 34777 CAF POSMAX 051443,002582: 00,3452 54154 FIXROOT TS MPAC 051444,002583: 00,3453 54155 TS MPAC +1 051445,002584: 00,3454 00002 TCQBNK00 TC Q # RETURN TO CALLER TO UNNORMALIZE, ETC. 051446,002585: 051447,002586: # Page 1186 051448,002587: 00,3455 65003 SRTEST AD QUARTER # ARGUMENT WAS LESS THAN .5, SEE IF LESS 051449,002588: 00,3456 00006 EXTEND # THAN .25. 051450,002589: 00,3457 63501 BZMF SQRTNORM # IF SO, BEGIN NORMALIZATION. 051451,002590: 051452,002591: 00,3460 52155 DXCH MPAC # IF BETWEEN .5 AND .25, SHIFT RIGHT 1 AND 051453,002592: 00,3461 22021 LXCH SR # START AT ARGLO. 051454,002593: 00,3462 00006 EXTEND 051455,002594: 00,3463 75002 MP HALF 051456,002595: 00,3464 52155 DXCH MPAC 051457,002596: 00,3465 56021 XCH SR 051458,002597: 00,3466 26155 ADS MPAC +1 # NO OVERFLOW. 051459,002598: 051460,002599: 00,3467 33007 ARGLO CAF SLOPELO # (NORMALIZED) ARGUMENT BETWEEN .125 AND 051461,002600: 00,3470 00006 EXTEND # .25 051462,002601: 00,3471 70154 MP MPAC 051463,002602: 00,3472 62270 AD BIASLO 051464,002603: 00,3473 13422 TCF ARGHI +4 # BEGIN SQUARE ROOT. 051465,002604: 051466,002605: 00,3474 00006 SQRTNM2 EXTEND # SHIFT LEFT 2 AND INCREMENT RIGHT SHIFT 051467,002606: 00,3475 30156 DCA MPAC +1 # COUNT (FOR TERMINAL UNNORMALIZATION). 051468,002607: 00,3476 20156 DAS MPAC +1 051469,002608: 00,3477 60154 AD MPAC 051470,002609: 00,3500 26154 ADS MPAC # (NO OVERFLOW). 051471,002610: 051472,002611: 00,3501 24135 SQRTNORM INCR MPTEMP # FIRST TIME THROUGH, JUST SHIFT LEFT 1 051473,002612: 00,3502 00006 EXTEND # (PUTS IN EFFECTIVE RIGHT SHIFT SINCE 051474,002613: 00,3503 30156 DCA MPAC +1 # WE WANT MPAC/2). 051475,002614: 00,3504 20156 DAS MPAC +1 051476,002615: 00,3505 60154 AD MPAC 051477,002616: 00,3506 26154 ADS MPAC # (AGAIN NO OVERFLOW). 051478,002617: 00,3507 60000 DOUBLE 051479,002618: 00,3510 54022 TS CYL 051480,002619: 051481,002620: 00,3511 10022 NORMTEST CCS CYL # SEE IF ARGUMENT NOW NORMALIZED AT 051482,002621: 00,3512 10022 CCS CYL # GREATER THAN .125. 051483,002622: 00,3513 13474 TCF SQRTNM2 # NO -- SHIFT LEFT 2 MORE AND TRY AGAIN. 051484,002623: 00,3514 13416 TCF ARGHI # YES -- NOW BETWEEN .5 AND .25. 051485,002624: 00,3515 13467 TCF ARGLO # ARGUMENT NOW BETWEEN .25 AND .125. 051486,002625: 051487,002626: # Page 1187 051488,002627: # TRIGONOMETRIC FUNCTION PACKAGE. 051489,002628: # THE FOLLOWING TRIGONOMETRIC FUNCTIONS ARE AVAIALABLE AS INTERPRETIVE OPERATIONS: 051490,002629: # 1. SIN COMPUTES (1/2)SINE(2 PI MPAC). 051491,002630: # 2. COS COMPUTES (1/2)COSINE(2 PI MPAC). 051492,002631: # 3. ASIN COMPUTES (1/2PI)ARCSINE(2 MPAC). 051493,002632: # 4. ACOS COMPUTES (1/2PI)ARCCOSINE(2 MPAC). 051494,002633: 051495,002634: # SIN-ASIN AND COS-ACOS ARE MUTUALLY INVERSE, I.E., SIN(ASIN(X)) = X. 051496,002635: 051497,002636: 00,3516 06672 COSINE TC BRANCH # FINDS COSINE USING THE IDENTITY 051498,002637: 00,3517 13522 TCF +3 # COS(X) = SIN(PI/2 - ABS(X)). 051499,002638: 00,3520 13525 TCF PRESINE 051500,002639: 00,3521 13525 TCF PRESINE 051501,002640: 051502,002641: 00,3522 00006 +3 EXTEND 051503,002642: 00,3523 40155 DCS MPAC 051504,002643: 00,3524 52155 DXCH MPAC 051505,002644: 051506,002645: 00,3525 35003 PRESINE CAF QUARTER # PI/2 SCALED. 051507,002646: 00,3526 26154 ADS MPAC 051508,002647: 051509,002648: 00,3527 52155 SINE DXCH MPAC # DOUBLE ARGUMENT. 051510,002649: 00,3530 20001 DDOUBL 051511,002650: 00,3531 54000 OVSK # SEE IF OVERFLOW PRESENT. 051512,002651: 00,3532 13535 TCF +3 # IF NOT, ARGUMENT OK AS IS. 051513,002652: 051514,002653: 00,3533 00006 EXTEND # IF SO, WE LOST (OR GAINED) PI, SO 051515,002654: 00,3534 40001 DCOM # COMPLEMENT MPAC USING THE IDENTITY 051516,002655: # SIN(X-(+)PI) = SIN(-X). 051517,002656: 00,3535 52155 +3 DXCH MPAC 051518,002657: 00,3536 30154 CA MPAC # SEE IF ARGUMENT GREATER THAN .5 IN 051519,002658: 00,3537 60000 DOUBLE # MAGNITUDE. IF SO, REDUCE IT TO LESS THAN 051520,002659: 00,3540 54001 TS L # .5 (+-PI/2 SCALED) AS FOLLOWS: 051521,002660: 00,3541 13552 TCF SN1 051522,002661: 051523,002662: 00,3542 50000 INDEX A # IF POSITIVE, FORM PI - X, IF NEGATIVE 051524,002663: 00,3543 35001 CAF NEG1/2 +1 # USE -PI -X. 051525,002664: 00,3544 60000 DOUBLE 051526,002665: 00,3545 00006 EXTEND 051527,002666: 00,3546 60154 SU MPAC # GUARANTEED NO OVERFLOW. 051528,002667: 00,3547 54154 TS MPAC 051529,002668: 00,3550 40155 CS MPAC +1 051530,002669: 00,3551 54155 TS MPAC +1 051531,002670: 051532,002671: # Page 1188 051533,002672: 00,3552 00006 SN1 EXTEND # SET UP TO EVALUATE HASTINGS POLYNOMIAL 051534,002673: 00,3553 30155 DCA MPAC 051535,002674: 00,3554 52134 DXCH BUF2 051536,002675: 00,3555 03300 TC DSQSUB # SQUARE MPAC. 051537,002676: 051538,002677: 00,3556 07171 TC POLY # EVALUATE FOURTH ORDER POLYNOMIAL. 051539,002678: 00,3557 00003 DEC 3 B-14 051540,002679: 00,3560 14441 37325 2DEC +.3926990796 051541,002680: 00,3562 53250 60764 2DEC -.6459637111 051542,002681: 00,3564 12146 21276 2DEC +.318758717 051543,002682: 00,3566 75466 71471 2DEC -.074780249 051544,002683: 00,3570 00236 32757 2DEC +.009694988 051545,002684: 051546,002685: 00,3572 32470 CAF LBUF2 # MULTIPLY BY ARGUMENT AND SHIFT LEFT 2. 051547,002686: 00,3573 07055 TC DMPSUB -1 051548,002687: 051549,002688: 00,3574 00006 EXTEND 051550,002689: 00,3575 30156 DCA MPAC +1 051551,002690: 00,3576 20156 DAS MPAC +1 051552,002691: 00,3577 60154 AD MPAC 051553,002692: 00,3600 26154 ADS MPAC # NEITHER SHIFT OVERFLOWS. 051554,002693: 00,3601 00006 EXTEND 051555,002694: 00,3602 30156 DCA MPAC +1 051556,002695: 00,3603 20156 DAS MPAC +1 051557,002696: 00,3604 60154 AD MPAC 051558,002697: 00,3605 26154 ADS MPAC 051559,002698: 00,3606 16030 TCF DANZIG 051560,002699: 051561,002700: # Page 1189 051562,002701: # ARCSIN/ARCCOS ROUTINE. 051563,002702: 051564,002703: 00,3607 33630 ARCSIN CAF LASINEX # COMPUTE ARCSIN BY USING THE IDENTITY 051565,002704: 00,3610 13612 TCF +2 # ARCSIN(X) = PI/2 - ARCCOS(X). 051566,002705: 051567,002706: 00,3611 33712 ARCCOS CAF LDANZIG # (EXITS IMMEDIATELY). 051568,002707: 00,3612 54136 TS ESCAPE 051569,002708: 00,3613 06672 TC BRANCH # TEST SIGN OF INPUT. 051570,002709: 00,3614 13624 TCF ACOSST # START IMMEDIATELY IF POSITIVE. 051571,002710: 00,3615 13726 TCF ACOSZERO # ARCCOS(0) = PI/2 = .25. 051572,002711: 00,3616 00006 EXTEND # IF NEGATIVE, USE THE IDENTITY 051573,002712: 00,3617 40155 DCS MPAC # ARCCOS(X) = PI - ARCCOS(-X), FORCING 051574,002713: 00,3620 52155 DXCH MPAC # ARGUMENT POSITIVE. 051575,002714: 00,3621 33731 CAF TCSUBTR # SET EXIT TO DO ABOVE BEFROE 051576,002715: 00,3622 56136 XCH ESCAPE # ARCSIN/ARCCOS CONSIDERATIONS. 051577,002716: 00,3623 54137 TS ESCAPE2 051578,002717: 051579,002718: 00,3624 45002 ACOSST CS HALF # TEST MAGNITUDE OF INPUT. 051580,002719: 00,3625 60154 AD MPAC 051581,002720: 00,3626 10000 CCS A 051582,002721: 00,3627 13720 TCF ACOSOVF # THIS IS PROBABLY AN OVERFLOW CASE. 051583,002722: 051584,002723: 00,3630 13706 LASINEX TCF ASINEX 051585,002724: 051586,002725: 00,3631 13641 TCF ACOSST2 # NO OVERFLOW -- PROCEED. 051587,002726: 051588,002727: 00,3632 10155 CCS MPAC +1 # IF MAJOR PART IS .5, CALL ANSWER 0 051589,002728: 00,3633 35021 CAF ZERO # UNLESS MINOR PART NEGATIVE. 051590,002729: 00,3634 13636 TCF ACOS=0 051591,002730: 051592,002731: 00,3635 13641 TCF ACOSST2 051593,002732: 051594,002733: 00,3636 54155 ACOS=0 TS MPAC +1 051595,002734: 00,3637 54154 TS MPAC 051596,002735: 00,3640 00136 TC ESCAPE 051597,002736: 051598,002737: 00,3641 00006 ACOSST2 EXTEND # NOW THAT ARGUMENT IS IN PROPER RANGE, 051599,002738: 00,3642 40155 DCS MPAC # BEGIN COMPUTATION. USE HASTINGS 051600,002739: 00,3643 65002 AD HALF # APPROXIMATION ARCCOS(X) = SQRT(1-X)P(X) 051601,002740: 00,3644 52155 DXCH MPAC # IN A SCALED VERSION WHERE P(X) IS A 051602,002741: 00,3645 52134 DXCH BUF2 # SEVENTH ORDER POLYNOMIAL. 051603,002742: 051604,002743: 00,3646 03343 TC SQRTSUB # RETURNS WITH NORMALIZED SQUARE ROOT. 051605,002744: 051606,002745: 00,3647 10135 CCS MPTEMP # SEE IF UN-NORMALIZATION REQUIRED. 051607,002746: 00,3650 13713 TCF ACOSSHR 051608,002747: 051609,002748: # Page 1190 051610,002749: 00,3651 52155 ACOS3 DXCH MPAC # SET UP FOR POLYNOMIAL EVALUATION. 051611,002750: 00,3652 52134 DXCH BUF2 051612,002751: 00,3653 52155 DXCH MPAC 051613,002752: 051614,002753: 00,3654 07171 TC POLY 051615,002754: 00,3655 00006 DEC 6 B-14 051616,002755: 00,3656 13240 23630 2DEC +.353553385 # COEFFICIENTS ARE C 2(+I)/PISQRT(2) WHERE 051617,002756: 00,3660 74721 47775 2DEC* -.0483017006 B+1* # I 051618,002757: 00,3662 02440 20237 2DEC* +.0200273085 B+2* # WEHRE C STANDS FOR ORIGINAL COEFFS. 051619,002758: 00,3664 75067 70742 2DEC* -.0112931863 B+3* 051620,002759: 00,3666 03436 26756 2DEC* +.00695311612 B+4* 051621,002760: 00,3670 74037 57640 2DEC* -.00384617957 B+5* 051622,002761: 00,3672 03046 07143 2DEC* +.001501297736 B+6* 051623,002762: 00,3674 76654 42244 2DEC* -.000284160334 B+7* 051624,002763: 051625,002764: 00,3676 32470 CAF LBUF2 # DO FINAL MULTIPLY AND GO TO ANY 051626,002765: 00,3677 07055 TC DMPSUB -1 # EPILOGUE SEQUENCES. 051627,002766: 00,3700 00136 TC ESCAPE 051628,002767: 051629,002768: 00,3701 00006 SUBTR EXTEND # EPILOGUE FOR NEGATIVE INPUTS TO ARCCOS. 051630,002769: 00,3702 40155 DCS MPAC 051631,002770: 00,3703 65002 AD HALF # FORMS PI - ARCCOS(-X) = ARCCOS(X). 051632,002771: 00,3704 52155 DXCH MPAC 051633,002772: 00,3705 00137 TC ESCAPE2 # GO TO POSSIBLE ARCSIN EPILOGUE. 051634,002773: 051635,002774: 00,3706 00006 ASINEX EXTEND 051636,002775: 00,3707 40155 DCS MPAC # ARCSIN EPILOGUE -- GET ARCSIN(X) 051637,002776: 00,3710 65003 AD QUARTER # = PI/2 - ARCCOS(X). 051638,002777: 00,3711 52155 DXCH MPAC 051639,002778: 00,3712 16030 LDANZIG TCF DANZIG 051640,002779: 051641,002780: # Page 1191 051642,002781: 00,3713 50000 ACOSSHR INDEX A # THE SHIFT RIGHT IS LESS THAN 14 SINCE 051643,002782: 00,3714 35002 CAF BIT14 # THE INPUT WAS NON-ZERO DP. 051644,002783: 00,3715 54135 TS MPTEMP 051645,002784: 00,3716 02073 TC VSHRRND # DP SHIFT RIGHT AND ROUND. 051646,002785: 00,3717 13651 TCF ACOS3 # PROCEED. 051647,002786: 051648,002787: 00,3720 00006 ACOSOVF EXTEND # IF MAJOR PART WAS ONLY 1 MORE THAN .5, 051649,002788: 00,3721 13636 BZF ACOS=0 # CALL ANSWER ZERO. 051650,002789: 051651,002790: 00,3722 05650 ACOSABRT TC ALARM # IF OVERFLOW, CALL ANSWER ZERO BUT 051652,002791: 00,3723 01301 OCT 1301 # SOUND AN ALARM. 051653,002792: 051654,002793: 00,3724 35021 CAF ZERO 051655,002794: 00,3725 13636 TCF ACOS=0 051656,002795: 051657,002796: 00,3726 35003 ACOSZERO CAF QUARTER # ACOS(0) = PI/2. 051658,002797: 00,3727 13637 TCF ACOS=0 +1 # SET MPAC AND EXIT VIA ESCAPE. 051659,002798: 051660,002799: 00,3730 77763 NEG12 DEC -12 B-14 051661,002800: 00,3731 13701 TCSUBTR TCF SUBTR 051662,002801: 051663,002802: # Page 1192 051664,002803: # THE FOLLOWING INSTRUCTIONS ARE AVAILABLE FOR SETTING, MODIFYING, AND BRANCHING ON INDEX REGISTERS: 051665,002804: # 1. AXT ADDRESS TO INDEX TRUE. 051666,002805: # 2. AXC ADDRESS TO INDEX COMPLEMENTED. 051667,002806: # 3. LXA LOAD INDEX FROM ERASABLE. 051668,002807: # 4. LXC LOAD INDEX COMPLEMENTED FROM ERASABLE. 051669,002808: # 5. SXA STORE INDEX IN ERASABLE. 051670,002809: # 6. XCHX EXCHANGE INDEX REGISTER WITH ERASABLE. 051671,002810: # 7. INCR INCREMENT INDEX REGISTER. 051672,002811: # 8. XAD ERASABLE ERASABLE ADD TO INDEX REGISTER. 051673,002812: # 9. XSU ERASABLE SUBTRACT FROM INDEX REGISTER. 051674,002813: # 10. TIX BRANCH ON INDEX REGISTER AND DECREMENT. 051675,002814: 051676,002815: 01,2371 BANK 01 051677,002816: 051678,002817: 01,2371 COUNT 01/INTER 051679,002818: 051680,002819: 01,2371 02466 AXT TC TAGSUB # SELECT APPROPRIATE INDEX REGISTER. 051681,002820: 01,2372 30117 CA POLISH 051682,002821: 01,2373 50130 XSTORE INDEX INDEXLOC # CONTAINS C(FIXLOC) OR C(FIXLOC)+1 051683,002822: 01,2374 54046 TS X1 051684,002823: 01,2375 16030 TCF DANZIG 051685,002824: 051686,002825: 01,2376 02466 AXC TC TAGSUB 051687,002826: 01,2377 40117 CS POLISH 051688,002827: 01,2400 02373 TC XSTORE 051689,002828: 051690,002829: 01,2401 02454 LXA TC 15ADRERS # LOAD INDEX REGISTER FROM ERASABLE. 051691,002830: 01,2402 50117 INDEX POLISH 051692,002831: 01,2403 30000 CA 0 051693,002832: 01,2404 12373 TCF XSTORE 051694,002833: 051695,002834: 01,2405 02454 LXC TC 15ADRERS # LOAD NDX REG FROM ERASABLE COMPLEMENTED. 051696,002835: 01,2406 50117 INDEX POLISH 051697,002836: 01,2407 40000 CS 0 051698,002837: 01,2410 12373 TCF XSTORE 051699,002838: 051700,002839: 01,2411 02454 SXA TC 15ADRERS # STORE INDEX REGISTER IN ERASABLE. 051701,002840: 01,2412 50130 INDEX INDEXLOC 051702,002841: 01,2413 30046 CA X1 051703,002842: 01,2414 50117 MSTORE1 INDEX POLISH 051704,002843: 01,2415 54000 TS 0 051705,002844: 01,2416 16030 TCF DANZIG 051706,002845: 051707,002846: # Page 1193 051708,002847: 01,2417 02454 XCHX TC 15ADRERS # EXCHANGE INDEX REGISTER WITH ERASABLE. 051709,002848: 01,2420 50117 INDEX POLISH 051710,002849: 01,2421 30000 CA 0 051711,002850: 01,2422 50130 INDEX INDEXLOC 051712,002851: 01,2423 56046 XCH X1 051713,002852: 01,2424 12414 TCF MSTORE1 051714,002853: 051715,002854: 01,2425 02454 XAD TC 15ADRERS # ADD ERASABLE TO INDEX REGISTER. 051716,002855: 01,2426 50117 INDEX POLISH 051717,002856: 01,2427 30000 CA 0 051718,002857: 01,2430 50130 XAD2 INDEX INDEXLOC 051719,002858: 01,2431 26046 ADS X1 # IGNORING OVERFLOWS. 051720,002859: 01,2432 16030 TCF DANZIG 051721,002860: 051722,002861: 01,2433 02466 INCR TC TAGSUB # INCREMENT INDEX REGISTER. 051723,002862: 01,2434 30117 CA POLISH 051724,002863: 01,2435 12430 TCF XAD2 051725,002864: 051726,002865: 01,2436 02454 XSU TC 15ADRERS # SUBTRACT ERASABLE FROM INDEX REGISTER. 051727,002866: 01,2437 50117 INDEX POLISH 051728,002867: 01,2440 40000 CS 0 051729,002868: 01,2441 12430 TCF XAD2 051730,002869: 051731,002870: 01,2442 02466 TIX TC TAGSUB # BRANCH AND DECREMENT ON INDEX. 051732,002871: 01,2443 50130 INDEX INDEXLOC 051733,002872: 01,2444 40050 CS S1 051734,002873: 01,2445 50130 INDEX INDEXLOC 051735,002874: 01,2446 60046 AD X1 051736,002875: 01,2447 00006 EXTEND # NO OPERATION IF DECREMENTED INDEX IS 051737,002876: 01,2450 66030 BZMF DANZIG # NEGATIVE OR ZERO. 051738,002877: 051739,002878: 01,2451 50130 DOTIXBR INDEX INDEXLOC 051740,002879: 01,2452 56046 XCH X1 # IGNORING OVERFLOWS. 051741,002880: 051742,002881: 01,2453 16615 TCF GOTO # DO THE BRANCH USING THE CADR IN POLISH. 051743,002882: 051744,002883: # Page 1194 051745,002884: # SUBROUTINE TO CONVERT AN ERASABLE ADDRESS (11 BITS) TO AN EBANK SETTING AND SUBADDRESS. 051746,002885: 051747,002886: 01,2454 40117 15ADRERS CS POLISH 051748,002887: 01,2455 65034 AD DEC45 051749,002888: 01,2456 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA? 051750,002889: 01,2457 30120 CA FIXLOC # YES. ADD FIXLOC. EBANK OK AS IS. 051751,002890: 01,2460 12465 TCF +5 051752,002891: 051753,002892: 01,2461 35051 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS. 051754,002893: 01,2462 56117 XCH POLISH 051755,002894: 01,2463 54003 TS EBANK 051756,002895: 01,2464 74373 MASK LOW8 051757,002896: 01,2465 26117 +5 ADS POLISH # FALL INTO TAGSUB, AND RETURN VIA Q. 051758,002897: 051759,002898: # SUBROUTINE WHICH SETS THE ADDRESS OF THE SPECIFIED INDEX IN INDEXLOC. (ACTUALLY, THE ADDRESS -38D.) 051760,002899: 051761,002900: 01,2466 30120 TAGSUB CA FIXLOC 051762,002901: 01,2467 54130 TS INDEXLOC 051763,002902: 051764,002903: 01,2470 10020 CCS CYR # BIT 15 SPECIFIES INDEX. 051765,002904: 01,2471 24130 INCR INDEXLOC # 0 MEANS USE X2. 051766,002905: 01,2472 00002 TC Q 051767,002906: 01,2473 00002 TC Q # 1 FOR X1. 051768,002907: 051769,002908: # Page 1195 051770,002909: # MISCELLANEOUS OPERATION CODES WITH DIRECT ADDRESSES. INCLUDED HERE ARE: 051771,002910: # 1. ITA STORE CPRET (RETURN ADDRESS) IN ERASABLE. 051772,002911: # 2. CALL CALL A SUBROUTINE, LEAVING RETURN IN QPRET. 051773,002912: # 3. RTB RETURN TO BASIC LANGUAGE AT THE GIVEN ADDRESS. 051774,002913: # 4. BHIZ BRANCH IF THE HIGHORDER OF MPAC IS ZERO (SINGLE PRECISION). 051775,002914: # 5. BOV BRANCH ON OVERFLOW. 051776,002915: # 6. GOTO SIMPLE SEQUENCE CHANGE. 051777,002916: 051778,002917: 01,2474 10020 RTB/BHIZ CCS CYR 051779,002918: 01,2475 30117 RTB CA POLISH 051780,002919: 01,2476 04665 TC SWCALL -1 # SO A "TC Q" FROM ROUTINE LEADS TO DANZIG 051781,002920: 051782,002921: 01,2477 10154 BHIZ CCS MPAC 051783,002922: 01,2500 16030 TCF DANZIG 051784,002923: 01,2501 16615 TCF GOTO 051785,002924: 01,2502 16030 TCF DANZIG 051786,002925: 01,2503 16615 TCF GOTO 051787,002926: 051788,002927: 01,2504 10121 BOV(B) CCS OVFIND # BRANCH ON OVERFLOW TO BASIC OR INTERP. 051789,002928: 01,2505 12507 TCF +2 051790,002929: 01,2506 16030 TCF DANZIG 051791,002930: 01,2507 54121 TS OVFIND 051792,002931: 01,2510 10020 CCS CYR 051793,002932: 01,2511 12475 TCF RTB # IF BASIC. 051794,002933: 01,2512 00360 B5TOBB OCT 360 051795,002934: 01,2513 16615 TCF GOTO 051796,002935: 051797,002936: # Page 1196 051798,002937: 01,2514 10020 BZE/GOTO CCS CYR # SEE WHICH OP-CODE IS DESIRED. 051799,002938: 01,2515 06672 TC BRANCH # DO BZE. 051800,002939: 01,2516 16030 TCF DANZIG 051801,002940: 01,2517 16615 TCF GOTO # DO GOTO. 051802,002941: 01,2520 16030 TCF DANZIG 051803,002942: 051804,002943: 01,2521 10020 BPL/BMN CCS CYR 051805,002944: 01,2522 12530 TCF BPL 051806,002945: 01,2523 12000 5B10 DEC 5 B+10 # SHIFTS OP CODE IN SWITCH INSTRUCTION ADR 051807,002946: 051808,002947: 01,2524 06672 TC BRANCH # DO BMN 051809,002948: 01,2525 16030 TCF DANZIG 051810,002949: 01,2526 16030 TCF DANZIG 051811,002950: 01,2527 16615 TCF GOTO # ONLY IF NNZ. 051812,002951: 051813,002952: 01,2530 06672 BPL TC BRANCH 051814,002953: 01,2531 16615 TCF GOTO # IF POSITIVE OR ZERO. 051815,002954: 01,2532 16615 TCF GOTO 051816,002955: 01,2533 16030 TCF DANZIG 051817,002956: 051818,002957: 01,2534 10020 CALL/ITA CCS CYR 051819,002958: 01,2535 16607 TCF CALL 051820,002959: 051821,002960: 01,2536 05747 TC CCSHOLE 051822,002961: 01,2537 02454 TC 15ADRERS # STORE QPRET. (TAGSUB AFTER 15ADRERS IS 051823,002962: 01,2540 50120 INDEX FIXLOC # SLOW IN THIS CASE, BUT SAVES STORAGE.) 051824,002963: 01,2541 30052 CA QPRET 051825,002964: 01,2542 12414 TCF MSTORE1 051826,002965: 051827,002966: # Page 1197 051828,002967: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR ALTERING AND TESTING INTERPRETATIVE SWITCHES: 051829,002968: # 00 BONSET SET A SWITCH AND DO A GOTO IF IT WAS ON. 051830,002969: # 01 SETGO SET A SWITCH AND DO A GOTO. 051831,002970: # 02 BOFSET SET A SWITCH AND DOA GOTO IF IT WAS OFF 051832,002971: # 03 SET SET A SWITCH. 051833,002972: # 04 BONINV INVERT A SWITCH AND BRANCH IF IT WAS ON. 051834,002973: # 05 INVGO INVERT A SWITCH AND DO A GOTO. 051835,002974: # 06 BOFINV INVERT A SWITCH AND BRANCH IF IT WAS OFF 051836,002975: # 07 INVERT INVERT A SWITCH. 051837,002976: # 10 BONCLR CLEAR A SWITCH AND BRANCH IF IT WAS ON. 051838,002977: # 11 CLRGO CLEAR A SWITCH AND DO A GOTO. 051839,002978: # 12 BOFCLR CLEAR A SWITCH AND BRANCH IF IT WAS OFF. 051840,002979: # 13 CLEAR CLEAR A SWITCH. 051841,002980: # 14 BON BRANCH IF A SWITCH WAS ON. 051842,002981: # 16 BOFF BRANCH IF A SWITCH WAS OFF. 051843,002982: # THE ADDRESS SUPPLIED WITH THE SWITCH INSTRUCTION IS INTERPRETED AS FOLLOWS: 051844,002983: # BITS 1-4 SWITCH BIT NUMBER (1-15). 051845,002984: # BITS 5-8 SWITCH OPERATION NUMBER 051846,002985: # BITS 9- SWITCH WORD NUMBER (UP TO 64 SWITCH WORDS). 051847,002986: # THE ADDRESS ITSELF IS MADE UP BY THE YUL SYSTEM ASSEMBLER. THE BRANCH INSTRUCTIONS REQUIRE TWO 051848,002987: # ADDRESSES, THE SECOND TAKEN AS THE DIRECT (OR INDIRECT IF IN ERASABLE) ADDRESS OF THE BRANCH. 051849,002988: 051850,002989: 01,2543 35026 SWITCHES CAF LOW4 # LEAVE THE SWITCH BIT IN SWBIT. 051851,002990: 01,2544 70117 MASK POLISH 051852,002991: 01,2545 50000 INDEX A 051853,002992: 01,2546 35001 CAF BIT15 # (NUMBER FROM LEFT TO RIGHT.) 051854,002993: 01,2547 54131 TS SWBIT 051855,002994: 051856,002995: 01,2550 35011 CAF BIT7 # LEAVE THE SWITCH NUMBER IN SWWORD. 051857,002996: 01,2551 00006 EXTEND 051858,002997: 01,2552 70117 MP POLISH 051859,002998: 01,2553 54130 TS SWWORD 051860,002999: 051861,003000: 01,2554 00004 INHINT # DURING SWITCH CHANGE SO RUPT CAN USE TOO 051862,003001: 01,2555 50000 INDEX A # LEAVE THE SWITCH WORD ITSELF IN L. 051863,003002: 01,2556 30074 CA STATE 051864,003003: 01,2557 54002 TS Q # Q WILL BE USED AS A CHANNEL. 051865,003004: # Page 1198 051866,003005: 01,2560 35005 CAF BIT11 051867,003006: 01,2561 00006 EXTEND # DISPATCH SWITCH BIT OPERATION AS IN BITS 051868,003007: 01,2562 70117 MP POLISH # 7-8 OF POLISH. 051869,003008: 01,2563 72623 MASK B3TOB4 # GETS 4X2-BIT CODE. 051870,003009: 01,2564 50000 INDEX A 051871,003010: 01,2565 12566 TCF +1 051872,003011: 051873,003012: 01,2566 30131 +1 CA SWBIT # 00 -- SET SWITCH IN QUESTION. 051874,003013: 01,2567 00006 EXTEND 051875,003014: 01,2570 04002 ROR QCHAN 051876,003015: 01,2571 12600 TCF SWSTORE 051877,003016: 051878,003017: 01,2572 30131 +5 CA SWBIT # 01 -- INVERT SWITCH. 051879,003018: 01,2573 00006 EXTEND 051880,003019: 01,2574 06002 RXOR QCHAN 051881,003020: 01,2575 12600 TCF SWSTORE 051882,003021: 051883,003022: 01,2576 40131 +9D CS SWBIT # 10 -- CLEAR. 051884,003023: 01,2577 70002 MASK Q 051885,003024: 01,2600 50130 SWSTORE INDEX SWWORD 051886,003025: 01,2601 54074 TS STATE # NEW SWITCH WORD. 051887,003026: 051888,003027: # Page 1199 051889,003028: 01,2602 00003 +13D RELINT # 11 -- NOOP. 051890,003029: 01,2603 35003 CAF BIT13 051891,003030: 01,2604 00006 EXTEND # DISPATCH SEQUENCE CHANGING OR BRANCING 051892,003031: 01,2605 70117 MP POLISH # CODE. 051893,003032: 01,2606 72623 MASK B3TOB4 051894,003033: 01,2607 50000 INDEX A 051895,003034: 01,2610 12611 TCF +1 # ORIGINALLY STORED IN BITS 5-6 051896,003035: 051897,003036: 01,2611 40002 +1 CS Q # 00 -- BRANCH IF ON. 051898,003037: 01,2612 70131 TEST MASK SWBIT 051899,003038: 01,2613 10000 CCS A 051900,003039: 01,2614 12624 TCF SWSKIP 051901,003040: 051902,003041: 01,2615 16664 +5 TCF SWBRANCH # 01 -- GO TO. 051903,003042: 051904,003043: 01,2616 12624 TCF SWSKIP # HERE ONLY ON BIT 15. 051905,003044: 051906,003045: 01,2617 05747 TC CCSHOLE 051907,003046: 01,2620 05747 TC CCSHOLE 051908,003047: 051909,003048: 01,2621 30002 +9D CA Q # 10 -- BRANCH IF OFF. 051910,003049: 01,2622 12612 TCF TEST 051911,003050: 051912,003051: 01,2623 00014 B3TOB4 OCT 0014 051913,003052: 01,2624 24164 SWSKIP INCR LOC 051914,003053: 051915,003054: 01,2625 01,2543 SW/ EQUALS SWITCHES 051916,003055: 051917,003056: 01,2625 16030 +13D TCF DANZIG # 11 -- NOOP. End of include-file INTERPRETER.agc. Parent file is MAIN.agc