Source Code

048908,000001: # Copyright: Public domain. 048909,000002: # Filename: INTERPRETER.agc 048910,000003: # Purpose: Part of the source code for Colossus 2A, AKA Comanche 055. 048911,000004: # It is part of the source code for the Command Module's (CM) 048912,000005: # Apollo Guidance Computer (AGC), for Apollo 11. 048913,000006: # Assembler: yaYUL 048914,000007: # Contact: Ron Burkey <info@sandroid.org>. 048915,000008: # Website: www.ibiblio.org/apollo. 048916,000009: # Pages: 1107-1199 048917,000010: # Mod history: 2009-05-08 RSB Adapted from the Luminary131/ file of the 048918,000011: # same name, using Comanche055 page images. 048919,000012: # 2009-05-20 RSB Corrections: P00D00 -> P00DOO, fixed a 048920,000013: # "Page N" reference. 048921,000014: # 2009-05-21 RSB Corrected definition of 5B10, which overflowed 048922,000015: # integer arithmetic. 048923,000016: 048924,000017: # This source code has been transcribed or otherwise adapted from digitized 048925,000018: # images of a hardcopy from the MIT Museum. The digitization was performed 048926,000019: # by Paul Fjeld, and arranged for by Deborah Douglas of the Museum. Many 048927,000020: # thanks to both. The images (with suitable reduction in storage size and 048928,000021: # consequent reduction in image quality as well) are available online at 048929,000022: # www.ibiblio.org/apollo. If for some reason you find that the images are 048930,000023: # illegible, contact me at info@sandroid.org about getting access to the 048931,000024: # (much) higher-quality images which Paul actually created. 048932,000025: 048933,000026: # Notations on the hardcopy document read, in part: 048934,000027: 048935,000028: # Assemble revision 055 of AGC program Comanche by NASA 048936,000029: # 2021113-051. 10:28 APR. 1, 1969 048937,000030: 048938,000031: # This AGC program shall also be referred to as 048939,000032: # Colossus 2A 048940,000033: 048941,000034: # Page 1107 048942,000035: # SECTION 1: DISPATCHER 048943,000036: 048944,000037: # ENTRY TO THE INTERPRETER. INTPRET SETS LOC TO THE FIRST INSTRUCTION, BANKSET TO THE BBANK OF THE 048945,000038: # OBJECT INTERPRETIVE PROGRAM, AND INTBIT15 TO THE BIT15 CONTENTS OF FBANK. INTERPRETIVE PROGRAMS MAY BE IN 048946,000039: # VIRTUALLY ALL BANKS PRESENT UNDER ANY SUPER-BANK SETTING, WITH THE RESTRICTION THAT PROGRAMS IN HIGH BANKS 048947,000040: # (BIT15 OF FBANK = 1) DO NOT REFER TO LOWBANKS, AND VICE-VERSA. THE INTERPRETER DOES NOT SWITCH SUPERBANKS. 048948,000041: # E-BANK SWITCHING OCCURS WHENEVER GENERAL ERASABLE (100-3777) IS ADDRESSED. 048949,000042: 048950,000043: 6006 BLOCK 03 048951,000044: 048952,000045: 6006 COUNT* $$/INTER 048953,000046: 6006 00003 INTPRET RELINT 048954,000047: 6007 00006 EXTEND # SET LOC TO THE WORD FOLLOWING THE TC. 048955,000048: 6010 22164 QXCH LOC 048956,000049: 6011 30006 +2 CA BBANK # INTERPRETIVE BRANCHES FINISH HERE. 048957,000050: 6012 54165 TS BANKSET 048958,000051: 6013 75001 MASK BIT15 # GET 15TH BIT FOR INDEXABLE ADDRESSES. 048959,000052: 6014 54115 TS INTBIT15 048960,000053: 048961,000054: 6015 54023 TS EDOP # MAKE SURE NO INSTRUCTIONS LEFT OVER 048962,000055: 048963,000056: 6016 16037 TCF NEWOPS # PICK UP OP CODE PAIR AND BEGIN. 048964,000057: 048965,000058: 6017 22006 INTRSM LXCH BBANK # RESUME SUSPENDED INTERPRETIVE JOB 048966,000059: 6020 16011 TCF INTPRET +3 048967,000060: 048968,000061: # DLOAD LOADS MPAC, MPAC +1, LEAVING ZERO IN MPAC +2. 048969,000062: 048970,000063: 6021 00006 DLOAD EXTEND 048971,000064: 6022 50116 INDEX ADDRWD 048972,000065: 6023 30001 DCA 0 # LOAD DP C(C(ADDRWD)) INT MPAC,MPAC +1 048973,000066: 6024 52155 SLOAD2 DXCH MPAC 048974,000067: 6025 35021 CAF ZERO # ZERO MPAC +2 048975,000068: 048976,000069: # Page 1108 048977,000070: # AT THE END OF MOST INSTRUCTIONS, CONTROL IS GIVEN TO DANZIG TO DISPATCH THE NEXT OPERATION. 048978,000071: 048979,000072: 6026 54156 TS MPAC +2 # AND DECLARE DP MODE 048980,000073: 048981,000074: 6027 54163 NEWMODE TS MODE # PROLOGUE FOR MODE-CHANGING INSTRUCTIONS. 048982,000075: 048983,000076: 6030 30165 DANZIG CA BANKSET # SET BBANK BEFORE TESTING NEWJOB SO THAT 048984,000077: 6031 54006 TS BBANK # IT MAY BE SAVED DIRECTLY BY CHANJOB. 048985,000078: 048986,000079: 6032 10023 NOIBNKSW CCS EDOP # SEE IF AN ORDER CODE IS LEFT OVER FROM 048987,000080: 6033 16046 TCF OPJUMP # THE LAST PAIR RETRIEVED. IF SO, EXECUTE. 048988,000081: # EDOP IS SET TO ZERO ON ITS RE-EDITIING. 048989,000082: 048990,000083: 6034 10067 CCS NEWJOB # SEE IF A JOB OF HIGHER PRIORITY IS 048991,000084: 6035 15170 TCF CHANG2 # PRESENT, AND IF SO, CHANGE JOBS. 048992,000085: 048993,000086: 6036 24164 INCR LOC # ADVANCE THE LOCATION COUNTER. 048994,000087: 048995,000088: # ITRACE (1) REFERS TO "NEWOPS" 048996,000089: 6037 50164 NEWOPS INDEX LOC # ENTRY TO BEGIN BY PICKING OP CODE PAIR. 048997,000090: 6040 30000 CA 0 # MAY BE AN OPCODE PAIR OR A STORE CODE. 048998,000091: 6041 10000 CCS A # TEST SIGN AND GET DABS(A). 048999,000092: 6042 16331 TCF DOSTORE # PROCESS STORE CODE. 049000,000093: 049001,000094: 6043 00177 LOW7 OCT 177 049002,000095: 049003,000096: 6044 54023 TS EDOP # OP CODE PAIR. LEAVE THE OTHER IN EDOP 049004,000097: 6045 76043 MASK LOW7 # WHERE CCS EDOP WILL HONOR IT NEXT. 049005,000098: 049006,000099: 6046 54020 OPJUMP TS CYR # LOWWD ENTERS HERE IF A RIGHT-HAND OP 049007,000100: 6047 10020 CCS CYR # CODE IS TO BE PROCESSED. TEST PREFICES. 049008,000101: 6050 16216 TCF OPJUMP2 # TEST SECOND PREFIX BIT. 049009,000102: 049010,000103: 6051 16712 TCF EXIT # +0 OP CODE IS EXIT 049011,000104: 049012,000105: # Page 1109 049013,000106: # PROCESS ADDRESSES WHICH MAY BE DIRECT, INDEXED, OR REFERENCE THE PUSHDOWN LIST. 049014,000107: 049015,000108: 6052 75017 ADDRESS MASK BIT1 # SEE IF ADDRESS IS INDEXED. CYR CONTAINED 049016,000109: 6053 10000 CCS A # 400XX, SO BIT 1 IS NOW AS IT WAS IN CYR. 049017,000110: 6054 16115 TCF INDEX # FORM INDEXED ADDRESS. 049018,000111: 049019,000112: 6055 50164 DIRADRES INDEX LOC # LOOK AHEAD TO NEXT WORD TO SEE IF 049020,000113: 6056 40001 OCT40001 CS 1 # ADDRESS IS GIVEN. 049021,000114: 6057 10000 CCS A 049022,000115: 6060 16164 TCF PUSHUP # IF NOT. 049023,000116: 049024,000117: 6061 77773 NEG4 DEC -4 B-14 049025,000118: 049026,000119: 6062 24164 INCR LOC # IF SO, TO SHOW WE PICKED UP A WORD. 049027,000120: 6063 54116 TS ADDRWD 049028,000121: 049029,000122: # Page 1110 049030,000123: # FINAL DIGESTION OF DIRECT ADDRESSES OF OP CODES WITH 01 PREFIX IS DONE HERE. IN EACH CASE, THE 049031,000124: # REQUIRED 12-BIT SUB-ADDRESS IS LEFT IN ADDRWD, WITH ANY REQUIRED E OR F BANK SWITCHING DONE. ADDRESSES LESS 049032,000125: # 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. 049033,000126: 049034,000127: 6064 66220 AD -ENDVAC # SEE IF ADDRESS RELATIVE TO WORK AREA. 049035,000128: 6065 10000 CCS A 049036,000129: 6066 67712 AD -ENDERAS # IF NOT, SEE IF IN GENERAL ERASABLE. 049037,000130: 6067 16074 TCF IERASTST 049038,000131: 049039,000132: 6070 30120 NETZERO CA FIXLOC # IF SO, LEAVE THE MODIFIED ADDRESS IN 049040,000133: 6071 26116 ADS ADDRWD # ADDRWD AND DISPATCH. 049041,000134: 6072 50020 ITR15 INDEX CYR # THIS INDEX MAKES THE NEXT INSTRUCTION 049042,000135: 6073 76242 7 INDJUMP -1 # TCF INDJUMP + OP, EDITING CYR. 049043,000136: 049044,000137: 6074 00006 IERASTST EXTEND 049045,000138: 6075 66105 BZMF GEADDR # GO PROCESS GENERAL-ERASABLE ADDRESS. 049046,000139: 049047,000140: 6076 75054 MASK LOW10 # FIXED BANK ADDRESS. RESTORE AND ADD B15. 049048,000141: 6077 65054 AD LOW10 # SWITCH BANKS AND LEAVE SUBADDRESS IN 049049,000142: 6100 56116 XCH ADDRWD # ADDRWD FOR OPERAND RETRIEVAL. (THIS 049050,000143: 6101 60115 AD INTBIT15 # METHOD PRECLUDES USE OF THE LAST 049051,000144: 6102 54004 TS FBANK # LOCATION IN EACH FBANK.) 049052,000145: 6103 50020 ITR12 INDEX CYR 049053,000146: 6104 76242 7 INDJUMP -1 049054,000147: 049055,000148: 6105 74373 GEADDR MASK LOW8 049056,000149: 6106 65051 AD OCT1400 049057,000150: 6107 56116 XCH ADDRWD 049058,000151: 6110 54003 TS EBANK 049059,000152: 6111 50020 ITR10 INDEX CYR 049060,000153: 6112 76242 7 INDJUMP -1 049061,000154: 049062,000155: # Page 1111 049063,000156: # THE FOLLOWING ROUTINE PROCESSES INTERPRETIVE INDEXED ADDRESSES. AN INTERPRETER INDEX REGISTER MAY 049064,000157: # CONTAIN THE ADDRESS OF ANY ERASABLE REGISTER (0-42 BEING RELATIVE TO THE VAC AREA) OR ANY INTERPRETIVE PROGRAM 049065,000158: # BANK, OR ANY INTEGER IN THAT RANGE. 049066,000159: 049067,000160: 6113 37702 DODLOAD* CAF DLOAD* # STODL* COMES HERE TO PROCESS LOAD ADR. 049068,000161: 6114 54020 TS CYR # (STOVL* ENTERS HERE). 049069,000162: 049070,000163: 6115 30120 INDEX CA FIXLOC # SET UP INDEX LOCATION. 049071,000164: 6116 54130 TS INDEXLOC 049072,000165: 6117 24164 INCR LOC # (ADDRESS ALWAYS GIVEN). 049073,000166: 6120 50164 INDEX LOC 049074,000167: 6121 40000 CS 0 049075,000168: 6122 10000 CCS A # INDEX 2 IF ADDRESS STORED COMPLEMENTED. 049076,000169: 6123 24130 INCR INDEXLOC 049077,000170: 6124 16125 NOOP 049078,000171: 049079,000172: 6125 54116 TS ADDRWD # 14 BIT ADDRESS TO ADDRWD. 049080,000173: 6126 77711 MASK HIGH4 # IF ADDRESS GREATER THAN 2K, ADD INTBIT15 049081,000174: 6127 00006 EXTEND 049082,000175: 6130 16133 BZF INDEX2 049083,000176: 6131 30115 CA INTBIT15 049084,000177: 6132 26116 ADS ADDRWD 049085,000178: 049086,000179: 6133 50130 INDEX2 INDEX INDEXLOC 049087,000180: 6134 40046 CS X1 049088,000181: 6135 26116 ADS ADDRWD # DO AUGMENT, IGNORING AND CORRECTING OVF. 049089,000182: 049090,000183: 6136 77713 MASK HIGH9 # SEE IF ADDRESS IS IN WORK AREA. 049091,000184: 6137 00006 EXTEND 049092,000185: 6140 16153 BZF INDWORK 049093,000186: 6141 77711 MASK HIGH4 # SEE IF IN FIXED BANK. 049094,000187: 6142 00006 EXTEND 049095,000188: 6143 16155 BZF INDERASE 049096,000189: 049097,000190: 6144 30116 CA ADDRWD # IN FIXED -- SWITCH BANKS AND CREATE 049098,000191: 6145 54004 TS FBANK # SUB-ADDRESS 049099,000192: 6146 75054 MASK LOW10 049100,000193: 6147 65005 AD 2K 049101,000194: 6150 54116 TS ADDRWD 049102,000195: 6151 50020 ITR11 INDEX CYR 049103,000196: 6152 36242 3 INDJUMP -1 049104,000197: 049105,000198: 6153 30120 INDWORK CA FIXLOC # MAKE ADDRWD RELATIVE TO WORK AREA. 049106,000199: 6154 16161 TCF ITR13 -1 049107,000200: 049108,000201: 6155 35051 INDERASE CA OCT1400 049109,000202: 6156 56116 XCH ADDRWD 049110,000203: 6157 54003 TS EBANK 049111,000204: 6160 74373 MASK LOW8 049112,000205: 6161 26116 -1 ADS ADDRWD 049113,000206: # Page 1112 049114,000207: 6162 50020 ITR13 INDEX CYR 049115,000208: 6163 36242 3 INDJUMP -1 049116,000209: 049117,000210: # Page 1113 049118,000211: # PUSH-UP ROUTINES. WHEN NO OPERAND ADDRESS IS GIVEN, THE APPROPRIATE OPERAND IS TAKEN FROM THE PUSH-DOWN 049119,000212: # LIST. IN MOST CASES THE MODE OF THE RESULT (VECTOR OR SCALAR) OF THE LAST ARTGHMETIC OPERATION PERFORMED 049120,000213: # IS THE SAME AS THE TYPE OF OPERAND DESIRED (ALL ADD/SUBTRACT ETC.). EXCEPTIONS TO THIS GENERAL RULE ARE LISTED 049121,000214: # BELOW (NOTE THAT IN EVERY CASE THE MODE REGISTER IS LEFT INTACT): 049122,000215: 049123,000216: # 1. VXSC AND V/SC WANT THE OPPOSITE TYPE OF OPERAND, E.G., IF THE LAST OPERATION YIELDED A VECTOR 049124,000217: # RESULT, VXSC WANTS A SCALAR. 049125,000218: 049126,000219: # 2. THE LOAD CODES SHOULD LOAD THE ACCUMULATOR INDEPENDENT OF THE RESULT OF THE LAST OPERATION. THIS 049127,000220: # INCLUDES VLOAD, DLOAD, TLOAD, PDDL, AND PDVL (NO PUSHUP WITH SLOAD). 049128,000221: 049129,000222: # 3. SOME ARITHMETIC OPERATIONS REQUIRE A STANDARD TYPE OF OPERAND REGARDLESS OF THE PREVIOUS OPERATION. 049130,000223: # THIS INCLUDES SIGN WANTING DP AND TAD REQUIRING TP. 049131,000224: 049132,000225: 6164 34374 PUSHUP CAF OCT23 # IF THE LOW 5 BITS OF CYR ARE LESS THAN 049133,000226: 6165 70020 MASK CYR # 20, THIS OP REQUIRES SPECIAL ATTENTION. 049134,000227: 6166 66171 AD -OCT10 # (NO -0). 049135,000228: 6167 10000 CCS A 049136,000229: 6170 16202 TCF REGUP # FOR ALL CODES GREATEER THAN OCT 7. 049137,000230: 049138,000231: 6171 77767 -OCT10 OCT -10 049139,000232: 049140,000233: 6172 66061 AD NEG4 # WE NOW HAVE 7 -- OP CODE (MOD4). SEE IF 049141,000234: 6173 10000 CCS A # THE OP CODE (MOD4) IS THREE (REVERSE). 049142,000235: 6174 50000 INDEX A # NO -- THE MODE IS DEFINITE. PICK UP THE 049143,000236: 6175 46213 CS NO.WDS 049144,000237: 6176 16204 TCF REGUP +2 049145,000238: 049146,000239: 6177 50163 INDEX MODE # FOR VXSC AND V/SC WE WANT THE REQUIRED 049147,000240: 6200 46211 CS REVCNT # PUSHLOC DECREMENT WITHOUT CHANGING THE 049148,000241: 6201 16204 TCF REGUP +2 # MODE AT THE IS TIME. 049149,000242: 049150,000243: 6202 50163 REGUP INDEX MODE # MOST ALL OP CODES PUSHUP HERE. 049151,000244: 6203 46213 CS NO.WDS 049152,000245: 6204 26166 +2 ADS PUSHLOC 049153,000246: 6205 54116 TS ADDRWD 049154,000247: 6206 50020 ITR14 INDEX CYR 049155,000248: 6207 76242 7 INDJUMP -1 # (THE INDEX MAKES THIS A TCF.) 049156,000249: 049157,000250: 6210 00002 OCT 2 # REVERSE PUSHUP DECREMENT. VECTOR TAKES 2 049158,000251: 6211 00006 REVCNT OCT 6 # WORDS, SCALAR TAKES 6. 049159,000252: 6212 00006 OCT 6 049160,000253: 6213 00002 NO.WDS OCT 2 # CONVENTIONAL DECREMENT IS 6 WORDS VECTOR 049161,000254: 6214 00003 OCTAL3 OCT 3 # 2 IN DP, AND 3 IN TP. 049162,000255: 6215 00006 OCT 6 049163,000256: 049164,000257: # Page 1114 049165,000258: # TEST THE SECOND PREFIX BIT TO SEE IF THIS IS A MISCELLANEOUS OR A UNARY/SHORT SHIFT OPERATION. 049166,000259: 049167,000260: 6216 10020 OPJUMP2 CCS CYR # TEST SECOND PREFIX BIT. 049168,000261: 6217 16232 TCF OPJUMP3 # TEST THIRD BIT TO SEE IF UNARY OR SHIFT 049169,000262: 049170,000263: 6220 77722 -ENDVAC DEC -45 B-14 049171,000264: 049172,000265: # THE FOLLOWING ROUTINE PROCESSES ADDRESSES OF SUFFIX CLASS 10. THEY ARE BASICALLY WORK AREA ADDRESSES 049173,000266: # IN THE RANGE 0-52, ERASABLE ECADR CONSTANTS FROM 100-3777, AND FCADRS ABOVE THAT. ALL 15 BITS ARE AVAILABLE 049174,000267: # IN CONTRAST TO SUFFIX 1, IN WHICH ONLY THE LOW ORDER 14 ARE AVAILABLE. 049175,000268: 049176,000269: 6221 24164 15BITADR INCR LOC # (ENTRY HERE FROM STCALL). 049177,000270: 6222 50164 INDEX LOC # PICK UP ADDRESS WORD. 049178,000271: 6223 30000 CA 0 049179,000272: 6224 54117 TS POLISH # WE MAY NEED A SUBADDRESS LATER. 049180,000273: 049181,000274: 6225 35055 CAF LOW7+2K # THESE INSTRUCTIONS ARE IN BANK 1. 049182,000275: 6226 54004 TS FBANK 049183,000276: 6227 70020 MASK CYR 049184,000277: 6230 50000 ITR7 INDEX A 049185,000278: 6231 16303 TCF MISCJUMP 049186,000279: 049187,000280: # Page 1115 049188,000281: # COMPLETE THE DISPATCHING OF UNARY AND SHORT SHIFT OPERATIONS. 049189,000282: 049190,000283: 6232 54004 OPJUMP3 TS FBANK # CALL IN BANK 0 (BIT5S 11-15 OF A ARE 0.) 049191,000284: 049192,000285: 6233 10020 CCS CYR # TEST THIRD PREFIX BIT. 049193,000286: 6234 50000 INDEX A # THE DECREMENTED UNARY CODE IS IN BITS 049194,000287: 6235 12000 TCF UNAJUMP # 1-4 OF A (ZERO, EXIT, HAS BEEN DETECTED) 049195,000288: 049196,000289: 6236 10163 CCS MODE # IT'S A SHORT SHIFT CODE. SEE IF PRESENT 049197,000290: 6237 12017 TCF SHORTT # SCALAR OR VECTOR. 049198,000291: 6240 12017 TCF SHORTT 049199,000292: 6241 12121 TCF SHORTV # CALLS THE APPROPRIATE ROUTINE. 049200,000293: 049201,000294: 6242 4364 FBANKMSK EQUALS BANKMASK 049202,000295: 6242 00122 LVBUF ADRES VBUF 049203,000296: 049204,000297: # Page 1116 049205,000298: # THE FOLLOWING IS THE JUMP TABLE FOR OP CODES WHICH MAY HAVE INDEXABLE ADDRESSES OR MAY PUSH UP. 049206,000299: 049207,000300: 6243 16454 INDJUMP TCF VLOAD # 00 -- LOAD MPAC WITH A VECTOR. 049208,000301: 6244 17040 TCF TAD # 01 -- TRIPLE PRECISION ADD TO MPAC. 049209,000302: 6245 17624 TCF SIGN # 02 -- COMPLEMENT MPAC (V OR SC) IF X NEG. 049210,000303: 6246 17350 TCF VXSC # 03 -- VECTOR TIMES SCALAR. 049211,000304: 6247 16652 TCF CGOTO # 04 -- COMPUTED GO TO. 049212,000305: 6250 16437 TCF TLOAD # 05 -- LOAD MPAC WITH TRIPLE PRECISION. 049213,000306: 6251 16021 TCF DLOAD # 06 -- LOAD MPAC WITH A DP SCALAR. 049214,000307: 6252 17573 TCF V/SC # 07 -- VECTOR DIVIDED BY A SCALAR. 049215,000308: 049216,000309: 6253 16450 TCF SLOAD # 10 -- LOAD MPAC IN SINGLE PRECISION. 049217,000310: 6254 16567 TCF SSP # 11 -- SET SINGLE PRECISION INTO X. 049218,000311: 6255 16472 TCF PDDL # 12 -- PUSH DOWN MPAC AND RE-LOAD IN DP. 049219,000312: 6256 17303 TCF MXV # 13 -- MATRIX POST-MULTIPLIED BY VECTOR. 049220,000313: 6257 16526 TCF PDVL # 14 -- PUSH DOWN AND VECTORLOAD. 049221,000314: 6260 16575 TCF CCALL # 15 -- COMPUTED CALL. 049222,000315: 6261 17306 TCF VXM # 16 -- MATRIX PRE-MULTIPLIED BY VECTOR. 049223,000316: 6262 17565 TCF TSLC # 17 -- NORMALIZE MPAC (SCALAR ONLY). 049224,000317: 049225,000318: 6263 17543 TCF DMPR # 20 -- DP MULTIPLY AND ROUND. 049226,000319: 6264 17546 TCF DDV # 21 -- DP DIVIDE BY. 049227,000320: 6265 17552 TCF BDDV # 22 -- DP DIVIDE INTO. 049228,000321: 6266 17570 TCF GSHIFT # 23 -- GENERAL SHIFT INSTRUCTION 049229,000322: 6267 16720 TCF VAD # 24 -- VECTOR ADD. 049230,000323: 6270 16716 TCF VSU # 25 -- VECTOR SUBTRACT. 049231,000324: 6271 17005 TCF BVSU # 26 -- VECTOR SUBTRACT FROM. 049232,000325: 6272 17300 TCF DOT # 27 -- VECTOR DOT PRODUCT. 049233,000326: 049234,000327: 6273 17427 TCF VXV # 30 -- VECTOR CROSS PRODUCT. 049235,000328: 6274 17374 TCF VPROJ # 31 -- VECTOR PROJECTION. 049236,000329: 6275 16754 TCF DSU # 32 -- DP SUBTRACT. 049237,000330: 6276 17031 TCF BDSU # 33 -- DP SUBTRACT FROM. 049238,000331: 6277 16744 TCF DAD # 34 -- DP ADD. 049239,000332: 6300 16300 TCF +0 # 35 -- AVAILABLE 049240,000333: 6301 17541 TCF DMP1 # 36 -- DP MULTIPLY. 049241,000334: 6302 17562 TCF SETPD # 37 -- SET PUSH DOWN POINTER (DIRECT ONLY) 049242,000335: 049243,000336: # CODES 10 AND 14 MUST NOT PUSH UP. CODE 04 MAY BE USED FOR VECTOR DECLARE BEFORE PUSHUP IF DESIRED. 049244,000337: 049245,000338: # Page 1117 049246,000339: # THE FOLLOWING JUMP TABLE APPLIES TO INDEX, BRANCH, AND MISCELLANEOUS INSTRUCTIONS. 049247,000340: 049248,000341: 6303 12371 MISCJUMP TCF AXT # 00 -- ADDRESS TO INDEX TRUE. 049249,000342: 6304 12376 TCF AXC # 01 -- ADDRESS TO INDEX COMPLEMENTED. 049250,000343: 6305 12401 TCF LXA # 02 -- LOAD INDEX FROM ERASABLE. 049251,000344: 6306 12405 TCF LXC # 03 -- LOAD INDEX FROM COMPLEMENT OF ERAS. 049252,000345: 6307 12411 TCF SXA # 04 -- STORE INDEX IN ERASABLE. 049253,000346: 6310 12417 TCF XCHX # 05 -- EXCHANGE INDEX WITH ERASABLE. 049254,000347: 6311 12433 TCF INCR # 06 -- INCREMENT INDEX REGISTER. 049255,000348: 6312 12442 TCF TIX # 07 -- TRANSFER ON INDEX. 049256,000349: 049257,000350: 6313 12425 TCF XAD # 10 -- INDEX REGISTER ADD FROM ERASABLE. 049258,000351: 6314 12436 TCF XSU # 11 -- INDEX SUBTRACT FROM ERASABLE. 049259,000352: 6315 12514 TCF BZE/GOTO # 12 -- BRANCH ZERO AND GOTO 049260,000353: 6316 12521 TCF BPL/BMN # 13 -- BRANCH PLUS AND BRANCH MINUS. 049261,000354: 6317 12474 TCF RTB/BHIZ # 14 -- RETURN TO BASIC AND BRANCH HI ZERO. 049262,000355: 6320 12534 TCF CALL/ITA # 15 -- CALL AND STORE QPRET. 049263,000356: 6321 12543 TCF SW/ # 16 -- SWITCH INSTRUCTIONS AND AVAILABLE. 049264,000357: 6322 12504 TCF BOV(B) # 17 -- BRANCH ON OVERFLOW TO BASIC OR INT. 049265,000358: 049266,000359: # Page 1118 049267,000360: # THE FOLLOWING JUMP TABLE APPLIES TO UNARY INSTRUCTIONS 049268,000361: 6323 COUNT* $$/INTER 049269,000362: 00,2000 BANK 0 # 00 -- EXIT -- DETECTED EARLIER. 049270,000363: 00,2000 13207 UNAJUMP TCF SQRT # 01 -- SQUARE ROOT. 049271,000364: 00,2001 13527 TCF SINE # 02 -- SIN. 049272,000365: 00,2002 13516 TCF COSINE # 03 -- COS. 049273,000366: 00,2003 13607 TCF ARCSIN # 04 -- ARC SIN. 049274,000367: 00,2004 13611 TCF ARCCOS # 05 -- ARC COS. 049275,000368: 00,2005 13174 TCF DSQ # 06 -- DP SQUARE. 049276,000369: 00,2006 12116 TCF ROUND # 07 -- ROUND TO DP. 049277,000370: 049278,000371: 00,2007 17637 TCF COMP # 10 -- COMPLEMENT VECTOR OR SCALAR 049279,000372: 00,2010 13232 TCF VDEF # 11 -- VECTOR DEFINE. 049280,000373: 00,2011 13023 TCF UNIT # 12 -- UNIT VECTOR. 049281,000374: 00,2012 13176 TCF ABVALABS # 13 -- LENGTH OF VECTOR OR MAG OF SCALAR. 049282,000375: 00,2013 13245 TCF VSQ # 14 -- SQUARE OF LENGTH OF VECTOR. 049283,000376: 00,2014 16323 TCF STADR # 15 -- PUSH UP ON STORE CODE. 049284,000377: 00,2015 13274 TCF RVQ # 16 -- RETURN VIA QPRET. 049285,000378: 00,2016 13247 TCF PUSH # 17 -- PUSH MPAC DOWN. 049286,000379: 049287,000380: # Page 1119 049288,000381: # SECTION 2 LOAD AND STORE PACKAGE. 049289,000382: 049290,000383: # A SET OF EIGHT STORE CODES IS PROVIDED AS THE PRIMARY METHOD OF STORING THE MULTI-PURPOSE 049291,000384: # ACCUMULATOR (MPAC). IF IN THE DANZIG SECTION LOC REFERS TO AN ALGEBRAICALLY POSITIVE WORD, IT IS TAKEN AS A 049292,000385: # STORE CODE WITH A CORRESPONDING ERASABLE ADDRESS. MOST OF THESE CODES ARE TWO ADDRESS, SPECIFYING THAT THE WORD 049293,000386: # FOLLOWING THE STORE CODE IS TO BE USED AS AN ADDRESS FROM WHICH TO RE-LOAD MPAC. FOUR OPTIONS ARE AVAILABLE: 049294,000387: 049295,000388: # 1. STORE STORE MPAC. THE E ADDRESS MAY BE INDEXED. 049296,000389: # 2. STODL STORE MPAC AND RE-LOAD IT IN DP WITH THE NEXT ADDRESS (THE LOAD MAY BE INDEXED). 049297,000390: # 3. STOVL STORE MPAC AND RE-LOAD A VECTOR (AS ABOVE). 049298,000391: # 4. STCALL STORE AND DO A CALL (BOTH ADDRESSES MUST BE DIRECT HERE). 049299,000392: 049300,000393: # STODL AND STOVL WILL TAKE FROM THE PUSH-DOWN LIST IF NO LOAD ADDRESS IS GIVEN. 049301,000394: 049302,000395: 6323 BLOCK 3 049303,000396: 049304,000397: 6323 COUNT 03/INTER 049305,000398: 049306,000399: 6323 30165 STADR CA BANKSET # THE STADR CODE (PUSHUP UP ON STORE 049307,000400: 6324 54004 TS FBANK # ADDRESS) ENTERS HERE. 049308,000401: 6325 24164 INCR LOC 049309,000402: 6326 50164 ITR1 INDEX LOC # THE STORECODE WAS STORED COMPLEMENTED TO 049310,000403: 6327 40000 CS 0 # MAKE IT LOOK LIKE AN OPCODE PAIR. 049311,000404: 6330 67716 AD NEGONE # (YUL CAN'T REMOVE 1 BECAUSE OF EARLY CCS) 049312,000405: 049313,000406: 6331 54116 DOSTORE TS ADDRWD 049314,000407: 6332 74372 MASK LOW11 # ENTRY FROM DISPATCHER. SAVE THE ARASABLE 049315,000408: 6333 56116 XCH ADDRWD # ADDRESS AND JUMP ON THE STORE CODE NO. 049316,000409: 6334 77671 MASK B12T14 049317,000410: 6335 00006 EXTEND 049318,000411: 6336 75013 MP BIT5 # EACH TRANSFER VECTOR ENTRY IS TWO WORDS. 049319,000412: 6337 50000 ITR0 INDEX A 049320,000413: 6340 16341 TCF STORJUMP 049321,000414: 049322,000415: # Page 1120 049323,000416: # STORE CODE JUMP TABLE. CALLS THE APPROPRIATE STORING ROUTINE AND EXITS TO DANZIG OR TO ADDRESS WITH 049324,000417: # A SUPPLIED OPERATION CODE. 049325,000418: 049326,000419: # STORE STORE,1 AND STORE,2 RETURN TO DANZIG, THUS RESETTING THE EBANK TO ITS STATE AT INTPRET. 049327,000420: 049328,000421: 6341 06371 STORJUMP TC STORE # STORE. 049329,000422: 6342 16030 TCF DANZIG # PICK UP NEW OP CODE(S). 049330,000423: 6343 06363 TC STORE,1 049331,000424: 6344 16030 TCF DANZIG 049332,000425: 6345 06366 TC STORE,2 049333,000426: 6346 16030 TCF DANZIG 049334,000427: 049335,000428: 6347 06371 TC STORE # STODL. 049336,000429: 6350 16427 TCF DODLOAD 049337,000430: 049338,000431: 6351 06371 TC STORE # STODL WITH INDEXED LOAD ADDRESS. 049339,000432: 6352 16113 TCF DODLOAD* 049340,000433: 049341,000434: 6353 06371 TC STORE # STOVL. 049342,000435: 6354 16432 TCF DOVLOAD 049343,000436: 049344,000437: 6355 06371 TC STORE # STOVL WITH INDEXED LOAD ADDRESS. 049345,000438: 6356 16435 TCF DOVLOAD* 049346,000439: 6357 06371 TC STORE # STOTC. 049347,000440: 6360 35030 CAF CALLCODE 049348,000441: 6361 54020 TS CYR 049349,000442: 6362 16221 TCF 15BITADR # GET A 15 BIT ADDRESS. 049350,000443: 049351,000444: # Page 1121 049352,000445: # STORE CODE ADDRESS PROCESSOR. 049353,000446: 049354,000447: 6363 50120 STORE,1 INDEX FIXLOC 049355,000448: 6364 40046 CS X1 049356,000449: 6365 16370 TCF PRESTORE 049357,000450: 049358,000451: 6366 50120 STORE,2 INDEX FIXLOC 049359,000452: 6367 40047 CS X2 049360,000453: 6370 26116 PRESTORE ADS ADDRWD # RESULTANT ADDRESS IS IN ERASABLE. 049361,000454: 049362,000455: 6371 40116 STORE CS ADDRWD 049363,000456: 6372 65034 AD DEC45 049364,000457: 6373 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA? 049365,000458: 6374 30120 CA FIXLOC # YES. 049366,000459: 6375 16402 TCF AHEAD5 049367,000460: 6376 35051 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS. 049368,000461: 6377 56116 XCH ADDRWD 049369,000462: 6400 54003 TS EBANK 049370,000463: 6401 74373 MASK LOW8 049371,000464: 6402 26116 AHEAD5 ADS ADDRWD 049372,000465: 049373,000466: # Page 1122 049374,000467: # STORING ROUTINES. STORE DP, TP, OR VECTOR AS INDICATED BY MODE. 049375,000468: 049376,000469: 6403 00006 STARTSTO EXTEND # MPAC,+1 MUST BE STORED IN ANY EVENT. 049377,000470: # ITRACE (5) REFERS TO "STARTSTO". 049378,000471: 6404 30155 DCA MPAC 049379,000472: 6405 50116 INDEX ADDRWD 049380,000473: 6406 52001 DXCH 0 049381,000474: 049382,000475: 6407 10163 CCS MODE 049383,000476: 6410 16423 TCF TSTORE 049384,000477: 6411 00002 TC Q 049385,000478: 049386,000479: 6412 00006 VSTORE EXTEND 049387,000480: 6413 30160 DCA MPAC +3 049388,000481: 6414 50116 INDEX ADDRWD 049389,000482: 6415 52003 DXCH 2 049390,000483: 049391,000484: 6416 00006 EXTEND 049392,000485: 6417 30162 DCA MPAC +5 049393,000486: 6420 50116 INDEX ADDRWD 049394,000487: 6421 52005 DXCH 4 049395,000488: 6422 00002 TC Q 049396,000489: 049397,000490: 6423 30156 TSTORE CA MPAC +2 049398,000491: 6424 50116 INDEX ADDRWD 049399,000492: 6425 54002 TS 2 049400,000493: 6426 00002 TC Q 049401,000494: 049402,000495: # Page 1123 049403,000496: # ROUTINES TO BEGIN PROCESSING OF THE SECOND ADDRESS ASSOCIATED WITH ALL STORE-TYPE CODES EXCEPT STORE 049404,000497: # ITSELF. 049405,000498: 049406,000499: 6427 37701 DODLOAD CAF DLOADCOD 049407,000500: 6430 54020 TS CYR 049408,000501: 6431 16055 TCF DIRADRES # GO GET A DIRECT ADDRESS. 049409,000502: 049410,000503: 6432 35001 DOVLOAD CAF VLOADCOD 049411,000504: 6433 54020 TS CYR 049412,000505: 6434 16055 TCF DIRADRES 049413,000506: 049414,000507: 6435 36056 DOVLOAD* CAF VLOAD* 049415,000508: 6436 16114 TCF DODLOAD* +1 # PROLOGUE TO INDEX ROUTINE. 049416,000509: 049417,000510: # Page 1124 049418,000511: # THE FOLLOWING LOAD INSTRUCTIONS ARE PROVIDED FOR LOADING THE MULTI-PURPOSE ACCUMULATOR MPAC. 049419,000512: 049420,000513: 6437 50116 TLOAD INDEX ADDRWD 049421,000514: 6440 30002 CA 2 # LOAD A TRIPLE PRECISION ARGUMENT INTO 049422,000515: 6441 54156 TS MPAC +2 # THE FIRST THREE MPAC REGISTERS, WITH THE 049423,000516: 6442 00006 EXTEND # CONTENTS OF THE OTHER FOUR IRRELEVANT. 049424,000517: 6443 50116 INDEX ADDRWD 049425,000518: 6444 30001 DCA 0 049426,000519: 6445 52155 DXCH MPAC 049427,000520: 6446 35017 TMODE CAF ONE 049428,000521: 6447 16027 TCF NEWMODE # DECLEARE TRIPLE PRECISION MODE. 049429,000522: 049430,000523: 6450 22007 SLOAD ZL # LOAD A SINGLE PRECISION NUMBER INTO 049431,000524: 6451 50116 INDEX ADDRWD # MPAC, SETTING MPAC+1,2 TO ZERO. THE 049432,000525: 6452 30000 CA 0 # CONTENTS OF THE REMAINING MPAC REGISTERS 049433,000526: 6453 16024 TCF SLOAD2 # ARE IRRELEVANT. 049434,000527: 049435,000528: 6454 00006 VLOAD EXTEND # LOAD A DOUBLE PRECISION VECTOR INTO 049436,000529: 6455 50116 INDEX ADDRWD # MPAC,+1, MPAC+3,4, AND MPAC+5,6. THE 049437,000530: 6456 30001 DCA 0 # CONTENTS OF MPAC +2 ARE IRRELEVANT. 049438,000531: 6457 52155 DXCH MPAC 049439,000532: 049440,000533: 6460 00006 ENDVLOAD EXTEND # PDVL COMES HERE TO FINISH UP FOR DP, TP. 049441,000534: 6461 50116 INDEX ADDRWD 049442,000535: 6462 30003 DCA 2 049443,000536: 6463 52160 DXCH MPAC +3 049444,000537: 049445,000538: 6464 00006 +4 EXTEND # TPDVL FINISHES HERE. 049446,000539: 6465 50116 INDEX ADDRWD 049447,000540: 6466 30005 DCA 4 049448,000541: 6467 52162 DXCH MPAC +5 049449,000542: 049450,000543: 6470 45017 VMODE CS ONE # DECLARE VECTOR MODE. 049451,000544: 6471 16027 TCF NEWMODE 049452,000545: 049453,000546: # Page 1125 049454,000547: # THE FOLLOWING INSTRUCTIONS ARE PROVIDED FOR STORING OPERANDS IN THE PUSHDOWN LIST: 049455,000548: # 1. PUSH PUSHDOWN AND NO LOAD. 049456,000549: # 2. PDDL PUSHDOWN AND DOUBLE PRECISION LOAD. 049457,000550: # 3. PDVL PUSHDOWN AND VECTOR LOAD. 049458,000551: 049459,000552: 6472 00006 PDDL EXTEND 049460,000553: 6473 50116 INDEX ADDRWD # LOAD MPAC,+1, PUSHING THE FORMER 049461,000554: 6474 30001 DCA 0 # CONTENTS DOWN. 049462,000555: 6475 52155 DXCH MPAC 049463,000556: 6476 50166 INDEX PUSHLOC 049464,000557: 6477 52001 DXCH 0 049465,000558: 049466,000559: 6500 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER APPRO- 049467,000560: 6501 36213 CAF NO.WDS # PRIATELY. 049468,000561: 6502 26166 ADS PUSHLOC 049469,000562: 049470,000563: 6503 10163 CCS MODE 049471,000564: 6504 16521 TCF ENDTPUSH 049472,000565: 6505 16517 TCF ENDDPUSH 049473,000566: 049474,000567: 6506 54163 TS MODE # NOW DP. 049475,000568: 6507 54156 ENDVPUSH TS MPAC +2 049476,000569: 6510 52160 DXCH MPAC +3 # PUSH DOWN THE REST OF THE VECTOR HERE. 049477,000570: 6511 50166 INDEX PUSHLOC 049478,000571: 6512 51775 DXCH 0 -4 049479,000572: 049480,000573: 6513 52162 DXCH MPAC +5 049481,000574: 6514 50166 INDEX PUSHLOC 049482,000575: 6515 51777 DXCH 0 -2 049483,000576: 049484,000577: 6516 16030 TCF DANZIG 049485,000578: 049486,000579: 6517 54156 ENDDPUSH TS MPAC +2 # SET MPAC +2 TO ZERO AND EXIT ON DP. 049487,000580: 6520 16030 TCF DANZIG 049488,000581: 049489,000582: 6521 54163 ENDTPUSH TS MODE 049490,000583: 6522 56156 XCH MPAC +2 # ON TRIPLE, SET MPAC +2 TO ZERO, PUSHING 049491,000584: 6523 50166 +2 INDEX PUSHLOC # DOWN THE OLD CONTENTS 049492,000585: 6524 53777 TS 0 -1 049493,000586: 6525 16030 TCF DANZIG 049494,000587: 049495,000588: # Page 1126 049496,000589: # PDVL -- PUSHDOWN AND VECTOR LOAD 049497,000590: 049498,000591: 6526 00006 PDVL EXTEND # RELOAD MPAC AND PUSH DOWN ITS CONTENTS. 049499,000592: 6527 50116 INDEX ADDRWD 049500,000593: 6530 30001 DCA 0 049501,000594: 6531 52155 DXCH MPAC 049502,000595: 6532 50166 INDEX PUSHLOC 049503,000596: 6533 52001 DXCH 0 049504,000597: 049505,000598: 6534 50163 INDEX MODE # ADVANCE THE PUSHDOWN POINTER. 049506,000599: 6535 36213 CAF NO.WDS 049507,000600: 6536 26166 ADS PUSHLOC 049508,000601: 049509,000602: 6537 10163 CCS MODE # TEST PAST MODE. 049510,000603: 6540 16557 TCF TPDVL 049511,000604: 6541 16460 TCF ENDVLOAD # JUST LOAD LAST FOUR REGISTERS ON DP. 049512,000605: 049513,000606: 6542 00006 VPDVL EXTEND # PUSHDOWN AND RE-LOAD LAST TWO COMPONENTS 049514,000607: 6543 50116 INDEX ADDRWD 049515,000608: 6544 30003 DCA 2 049516,000609: 6545 52160 DXCH MPAC +3 049517,000610: 6546 50166 INDEX PUSHLOC 049518,000611: 6547 51775 DXCH 0 -4 049519,000612: 049520,000613: 6550 00006 EXTEND 049521,000614: 6551 50116 INDEX ADDRWD 049522,000615: 6552 30005 DCA 4 049523,000616: 6553 52162 DXCH MPAC +5 049524,000617: 6554 50166 INDEX PUSHLOC 049525,000618: 6555 51777 DXCH 0 -2 049526,000619: 049527,000620: 6556 16030 TCF DANZIG 049528,000621: 049529,000622: 6557 00006 TPDVL EXTEND # ON TP, WE MUST LOAD THE Y COMPONENT 049530,000623: 6560 50116 INDEX ADDRWD # BEFORE STORING MPAC +2 IN CASE THIS IS A 049531,000624: 6561 30003 DCA 2 # PUSHUP. 049532,000625: 6562 52160 DXCH MPAC +3 049533,000626: 049534,000627: 6563 30156 CA MPAC +2 049535,000628: 6564 50166 INDEX PUSHLOC # IN DP. 049536,000629: 6565 53777 TS 0 -1 049537,000630: 6566 16464 TCF ENDVLOAD +4 049538,000631: 049539,000632: # SSP (STORE SINGLE PRECISION) IS EXECUTED HERE. 049540,000633: 049541,000634: 6567 24164 SSP INCR LOC # PICK UP THE WORD FOLLOWING THE GIVEN 049542,000635: 6570 50164 INDEX LOC # ADDRESS AND STORE IT AT X. 049543,000636: 6571 30000 CA 0 049544,000637: 6572 50116 STORE1 INDEX ADDRWD # SOME INDEX AND MISCELLANEOUS OPS END 049545,000638: 6573 54000 TS 0 # HERE. 049546,000639: # Page 1127 049547,000640: 6574 16030 TCF DANZIG 049548,000641: 049549,000642: # Page 1128 049550,000643: # SEQUENCE CHANGING AND SUBROUTINE CALLING OPTIONS. 049551,000644: 049552,000645: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR SEQUENCING CHANGING, BRANCHING, AND CALLING SUBROUTINES: 049553,000646: # 1. GOTO GO TO. 049554,000647: # 2. CALL CALL SUBROUTINE SETTING QPRET. 049555,000648: # 3. CGOTO COMPUTED GO TO. 049556,000649: # 4. CCALL COMPUTED CALL. 049557,000650: # 7. BPL BRANCH IF MPAC POSITIVE OR ZERO. 049558,000651: # 8. BZE BRANCH IF MPAC ZERO. 049559,000652: # 9. BMN BRANCH IF MPAC NEGATIVE NON-ZERO. 049560,000653: 049561,000654: 6575 24164 CCALL INCR LOC # MAINTAIN LOC FOR QPRET COMPUTATION 049562,000655: 6576 50164 INDEX LOC 049563,000656: # Was CAF --- RSB 2009. 049564,000657: 6577 30000 CA 0 # GET BASE ADDRESS OF CADR LIST. 049565,000658: 6600 50116 INDEX ADDRWD 049566,000659: 6601 60000 AD 0 # ADD INCREMENT. 049567,000660: 6602 54004 TS FBANK # SELECT DESIRED CADR. 049568,000661: 6603 75054 MASK LOW10 049569,000662: 6604 50000 INDEX A 049570,000663: 6605 32000 CAF 10000 049571,000664: 6606 54117 TS POLISH 049572,000665: 049573,000666: 6607 30165 CALL CA BANKSET # FOR ANY OF THE CALL OPTIONS, MAKE UP THE 049574,000667: 6610 74364 MASK BANKMASK # ADDRESS OF THE NEXT OP-CODE PAIR/STORE 049575,000668: 6611 64364 AD BANKMASK # CODE AND LEAVE IT IN QPRET. NOTE THAT 049576,000669: 6612 60164 AD LOC # BANKMASK = -(2000 - 1). 049577,000670: 6613 50120 INDEX FIXLOC 049578,000671: 6614 54052 TS QPRET 049579,000672: 049580,000673: 6615 30117 GOTO CA POLISH # BASIC BRANCHING SEQUENCE. 049581,000674: 6616 77711 +1 MASK HIGH4 049582,000675: 6617 00006 EXTEND 049583,000676: 6620 16631 BZF GOTOERS # SEE IF ADDRESS POINTS TO FIXED OR ERAS. 049584,000677: 6621 30165 +4 CA BANKSET # SET EBANK PART OF BBANK. NEXT, SET UP 049585,000678: 6622 54006 TS BBANK # FBANK. THE COMBINATION IS PICKED UP & 049586,000679: 6623 30117 CA POLISH # PUT INTO BANKSET AT INTPRET +2. 049587,000680: 6624 54004 TS FBANK 049588,000681: 6625 75054 MASK LOW10 049589,000682: 6626 65005 AD 2K 049590,000683: 6627 54164 TS LOC 049591,000684: 6630 16011 TCF INTPRET +3 049592,000685: 049593,000686: 6631 E3,1400 EBANK= 1400 # SO YUL DOESN'T CUSS THE "CA 1400" BELOW. 049594,000687: 049595,000688: 6631 30117 GOTOERS CA POLISH # THE GIVEN ADDRESS IS IN ERASABLE -- SEE 049596,000689: 6632 66220 AD -ENDVAC # IF RELATIVE TO THE WORK ARA. 049597,000690: 6633 10000 CCS A 049598,000691: 6634 30117 CA POLISH # GENERAL ERASABLE. 049599,000692: 6635 16644 TCF GOTOGE 049600,000693: 049601,000694: # Page 1129 049602,000695: 6636 30120 CA FIXLOC # WORK AREA. 049603,000696: 6637 60117 AD POLISH 049604,000697: 6640 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF 049605,000698: 6641 30000 CA 0 # THE BRANCH ADDRESS. 049606,000699: 6642 54117 TS POLISH 049607,000700: 6643 16616 TCF GOTO +1 # ALLOWS ARBITRARY INDIRECTNESS LEVELS. 049608,000701: 049609,000702: 6644 54003 GOTOGE TS EBANK 049610,000703: 6645 74373 MASK LOW8 049611,000704: 6646 50000 INDEX A # USE THE GIVEN ADDRESS AS THE ADDRESS OF 049612,000705: 6647 31400 CA 1400 # THE BRANCH ADDRESS. 049613,000706: 6650 54117 TS POLISH 049614,000707: 6651 16616 TCF GOTO +1 049615,000708: 049616,000709: 6652 50164 CGOTO INDEX LOC # COMPUTED GO TO. PICK UP ADDRESS OF CADR 049617,000710: 6653 30001 CA 1 # LIST 049618,000711: 6654 50116 INDEX ADDRWD # ADD MODIFIER. 049619,000712: 6655 60000 AD 0 049620,000713: 6656 54004 TS FBANK # SELECT GOTO ADDRESS 049621,000714: 6657 75054 MASK LOW10 049622,000715: 6660 50000 INDEX A 049623,000716: 6661 32000 CA 10000 049624,000717: 6662 54117 TS POLISH 049625,000718: 6663 16616 TCF GOTO +1 # WITH ADDRESS IN A. 049626,000719: 049627,000720: 6664 30165 SWBRANCH CA BANKSET # SWITCH INSTRUCTIONS WHICH ELECT TO 049628,000721: 6665 54004 TS FBANK # BRANCH COME HERE TO DO SO. 049629,000722: 6666 50164 INDEX LOC 049630,000723: 6667 30001 CA 1 049631,000724: 6670 54117 TS POLISH 049632,000725: 6671 16616 TCF GOTO +1 049633,000726: 049634,000727: # Page 1130 049635,000728: # TRIPLE PRECISION BRANCHING ROUTINE. IF CALLING TC IS AT L, RETURN IS AS FOLLOWS: 049636,000729: # L+1 IF MPAC IS GREATER THAN ZERO. 049637,000730: # L+2 IF MPAC IS EQUAL TO +0 OR -0. 049638,000731: # L+3 IF MPAC IS LESS THAN ZERO. 049639,000732: 049640,000733: 6672 10154 BRANCH CCS MPAC 049641,000734: 6673 00002 TC Q 049642,000735: 6674 16676 TCF +2 # ON ZERO. 049643,000736: 6675 16710 TCF NEG 049644,000737: 049645,000738: 6676 10155 CCS MPAC +1 049646,000739: 6677 00002 TC Q 049647,000740: 6700 16702 TCF +2 049648,000741: 6701 16710 TCF NEG 049649,000742: 049650,000743: 6702 10156 CCS MPAC +2 049651,000744: 6703 00002 TC Q 049652,000745: 6704 16706 TCF +2 049653,000746: 6705 16710 TCF NEG 049654,000747: 049655,000748: 6706 50002 Q+1 INDEX Q 049656,000749: 6707 00001 TC 1 049657,000750: 049658,000751: 6710 50002 NEG INDEX Q # IF FIRST NON-ZERO REGISTER WAS NEGATIVE. 049659,000752: 6711 00002 TC 2 049660,000753: 049661,000754: 6712 6710 Q+2 = NEG 049662,000755: 049663,000756: # ITRACE (3) REFERS TO "EXIT". 049664,000757: 049665,000758: 6712 30165 EXIT CA BANKSET # RESTORE USER'S BANK SETTING, AND LEAVE 049666,000759: 6713 54006 TS BBANK # INTERPRETIVE MODE. 049667,000760: 6714 50164 INDEX LOC 049668,000761: 6715 00001 TC 1 049669,000762: 049670,000763: # Page 1131 049671,000764: # SECTION 3 -- ADD/SUBTRACT PACKAGE. 049672,000765: 049673,000766: # THE FOLLOWING OPERATIONS ARE PROVIDED FOR ADDING TO AND SUBTRACTING FROM THE MULTI-PURPOSE ACCUMULATOR 049674,000767: # MPAC: 049675,000768: # 1. DAD DOUBLE PRECISION ADD. 049676,000769: # 2. DSU DOUBLE PRECISION SUBTRACT. 049677,000770: # 3. BDSU DOUBLE PRECISION SUBTRACT FROM. 049678,000771: # 4. TAD TRIPLE PRECISION ADD. 049679,000772: # 5. VAD VECTOR ADD. 049680,000773: # 6. VSU VECTOR SUBTRACT. 049681,000774: # 7. BVSU VECTOR SUBTRACT FROM. 049682,000775: # THE INTERPRETIVE OVERFLOW INDICATOR OVFIND IS SET NON-ZERO IF OVERFLOW OCCURS IN ANY OF THE ABOVE. 049683,000776: 049684,000777: 6716 35001 VSU CAF BIT15 # CHANGES 0 TO DCS. 049685,000778: 6717 16721 TCF +2 049686,000779: 049687,000780: 6720 34371 VAD CAF PRIO30 # CHANGES 0 TO DCA. 049688,000781: 6721 26116 ADS ADDRWD 049689,000782: 6722 00006 EXTEND 049690,000783: 6723 50116 INDEX ADDRWD 049691,000784: 6724 00003 READ HISCALAR # DCA 2 OR DCS 2 049692,000785: 6725 20160 DAS MPAC +3 049693,000786: 6726 00006 EXTEND # CHECK OVERFLOW. 049694,000787: 6727 16731 BZF +2 049695,000788: 6730 06763 TC OVERFLWY 049696,000789: 049697,000790: 6731 00006 EXTEND 049698,000791: 6732 50116 INDEX ADDRWD 049699,000792: 6733 00005 READ CHAN5 # DCA 4 OR DCS 4 049700,000793: 6734 20162 DAS MPAC +5 049701,000794: 6735 00006 EXTEND 049702,000795: 6736 16740 BZF +2 049703,000796: 6737 06760 TC OVERFLWZ 049704,000797: 049705,000798: 6740 00006 EXTEND 049706,000799: 6741 50116 INDEX ADDRWD 049707,000800: 6742 00001 READ LCHAN # DCA 0 OR DCS 0 049708,000801: 6743 16747 TCF ENDVXV 049709,000802: 049710,000803: 6744 00006 DAD EXTEND 049711,000804: 6745 50116 INDEX ADDRWD 049712,000805: 6746 30001 DCA 0 049713,000806: 6747 20155 ENDVXV DAS MPAC # VXV FINISHES HERE. 049714,000807: 6750 00006 EXTEND 049715,000808: 6751 16030 BZF DANZIG 049716,000809: 049717,000810: # Page 1132 049718,000811: 6752 06766 SETOVF TC OVERFLOW 049719,000812: 6753 16030 TCF DANZIG 049720,000813: 049721,000814: # Page 1133 049722,000815: 6754 00006 DSU EXTEND 049723,000816: 6755 50116 INDEX ADDRWD 049724,000817: 6756 40001 DCS 0 049725,000818: 6757 16747 TCF ENDVXV 049726,000819: 049727,000820: 6760 54001 OVERFLWZ TS L # ENTRY FOR THIRD COMPONENT. 049728,000821: 6761 35022 CAF FIVE 049729,000822: 6762 16765 TCF +3 049730,000823: 049731,000824: 6763 54001 OVERFLWY TS L # ENTRY FOR SECOND COMPONENT. 049732,000825: 6764 36214 CAF THREE 049733,000826: 6765 56001 XCH L 049734,000827: 049735,000828: 6766 50000 OVERFLOW INDEX A # ENTRY FOR 1ST COMP OR DP (L=0). 049736,000829: 6767 45000 CS LIMITS # PICK UP POSMAX OR NEGMAX. 049737,000830: 6770 54130 TS BUF 049738,000831: 6771 00006 EXTEND 049739,000832: 6772 24000 AUG A 049740,000833: 6773 50001 INDEX L 049741,000834: 6774 26155 ADS MPAC +1 049742,000835: 6775 54007 TS 7 049743,000836: 6776 35021 CAF ZERO 049744,000837: 6777 60130 AD BUF 049745,000838: 7000 50001 INDEX L 049746,000839: 7001 26154 ADS MPAC 049747,000840: 7002 54007 TS 7 049748,000841: 7003 00002 TC Q # NO OVERFLOW EXIT. 049749,000842: 7004 17121 TCF SETOVF2 # SET OVFIND AND EXIT. 049750,000843: 049751,000844: 7005 00006 BVSU EXTEND 049752,000845: 7006 50116 INDEX ADDRWD 049753,000846: 7007 30003 DCA 2 049754,000847: 7010 52160 DXCH MPAC +3 049755,000848: 7011 00006 EXTEND 049756,000849: 7012 40001 DCOM 049757,000850: 7013 20160 DAS MPAC +3 049758,000851: 7014 00006 EXTEND 049759,000852: 7015 17017 BZF +2 049760,000853: 7016 06763 TC OVERFLWY 049761,000854: 049762,000855: 7017 00006 EXTEND 049763,000856: 7020 50116 INDEX ADDRWD 049764,000857: 7021 30005 DCA 4 049765,000858: 7022 52162 DXCH MPAC +5 049766,000859: 7023 00006 EXTEND 049767,000860: 7024 40001 DCOM 049768,000861: 7025 20162 DAS MPAC +5 049769,000862: 7026 00006 EXTEND 049770,000863: 7027 17031 BZF +2 049771,000864: 7030 06760 TC OVERFLWZ 049772,000865: 049773,000866: # Page 1134 049774,000867: 7031 00006 BDSU EXTEND 049775,000868: 7032 50116 INDEX ADDRWD 049776,000869: 7033 30001 DCA 0 049777,000870: 7034 52155 DXCH MPAC 049778,000871: 7035 00006 EXTEND 049779,000872: 7036 40001 DCOM 049780,000873: 7037 16747 TCF ENDVXV 049781,000874: 049782,000875: # Page 1135 049783,000876: # TRIPLE PRECISION ADD ROUTINE. 049784,000877: 049785,000878: 7040 00006 TAD EXTEND 049786,000879: 7041 50116 INDEX ADDRWD 049787,000880: 7042 30002 DCA 1 # ADD MINOR PARTS FIRST. 049788,000881: 7043 20156 DAS MPAC +1 049789,000882: 7044 50116 INDEX ADDRWD 049790,000883: 7045 60000 AD 0 049791,000884: 7046 60154 AD MPAC 049792,000885: 7047 54154 TS MPAC 049793,000886: 7050 16030 TCF DANZIG 049794,000887: 049795,000888: 7051 16752 TCF SETOVF # SET OVFIND IF SUCH OCCURS. 049796,000889: 049797,000890: # Page 1136 049798,000891: # ARITHMETIC SUBROUTINES REQUIRED IN FIXED-FIXED. 049799,000892: # 1. DMPSUB DOUBLE PRECISION MULTIPLY, MULTIPLY THE CONTENTS OF MPAC,+1 BY THE DP WORD WHOSE ADDRESS 049800,000893: # IS IN ADDRWD AND LEAVE A TRIPLE-PRECISION RESULT IN MPAC. 049801,000894: # 2. ROUNDSUB ROUND THE TRIPLE PRECISION CONTENTS OF MPAC TO DOUBLE PRECISION. 049802,000895: # 3. DOTSUB TAKE THE DOT PRODUCT OF THE VECTOR IN MPAC AND THE VECTOR WHOSE ADDRESS IS IN ADDRWD 049803,000896: # AND LEAVE THE TRIPLE PRECISION RESULT IN MPAC. 049804,000897: # 4. POLY USING THE CONTENTS OF MPAC AS A DP ARGUMENT, EVALUATE THE POLYNOMIAL WHOSE DEGREE AND 049805,000898: # COEFFICIENTS IMMEDIATELY FOLLOW THE TC POLY INSTRUCTION (SEE ROUTINE FOR DETAILS). 049806,000899: 049807,000900: 7052 50002 DMP INDEX Q # BASIC SUBROUTINE FOR USE BY PINBALL, ETC 049808,000901: # Was CAF --- RSB 2009. 049809,000902: 7053 30000 CA 0 049810,000903: 7054 24002 INCR Q 049811,000904: 7055 54116 -1 TS ADDRWD # (PROLOGUE FOR SETTING ADDRWD.) 049812,000905: 049813,000906: 7056 50116 DMPSUB INDEX ADDRWD # GET MINOR PART OF OPERAND AT C(ADDRWD). 049814,000907: 7057 30001 CA 1 049815,000908: 7060 54156 TS MPAC +2 # THIS WORKS FOR SQUARING MPAC AS WELL. 049816,000909: 7061 35021 CAF ZERO # SET MPAC +1 TO ZERO SO WE CAN ACCUMULATE 049817,000910: 7062 56155 XCH MPAC +1 # THE PARTIAL PRODUCTS WITH DAS 049818,000911: 7063 54135 TS MPTEMP # INSTRUCTIONS. 049819,000912: 7064 00006 EXTEND 049820,000913: 7065 70156 MP MPAC +2 # MINOR OF MPAC X MINOR OF C(ADDRWD). 049821,000914: 049822,000915: 7066 56156 XCH MPAC +2 # DISCARD MINOR PART OF ABOVE RESULT AND 049823,000916: 7067 00006 EXTEND # FORM MAJOR OF MPAC X MINOR OF C(ADDRWD). 049824,000917: 7070 70154 MP MPAC 049825,000918: 7071 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW. 049826,000919: 049827,000920: 7072 50116 INDEX ADDRWD # GET MAJOR PART OF ARGUMENT AT C(ADDRWD). 049828,000921: 7073 30000 CA 0 049829,000922: 7074 56135 XCH MPTEMP # SAVE AND BRING OUT MINOR OF MPAC. 049830,000923: 7075 00006 DMPSUB2 EXTEND 049831,000924: 7076 70135 MP MPTEMP # MAJOR OF C(ADDRWD) X MINOR OF MPAC. 049832,000925: 7077 20156 DAS MPAC +1 # ACCUMULATE, SETTING A TO NET OVERFLOW. 049833,000926: 049834,000927: 7100 56154 XCH MPAC # SETTING MPAC TO 0 OR +-1. 049835,000928: 7101 00006 EXTEND 049836,000929: 7102 70135 MP MPTEMP # MAJOR OF MPAC X MAJOR OF C(ADDRWD). 049837,000930: 7103 20155 DAS MPAC # GUARANTEED NO OVERFLOW. 049838,000931: 7104 00002 TC Q # 49 MCT = .573 MS. INCLUDING RETURN. 049839,000932: 049840,000933: # Page 1137 049841,000934: # ROUND MPAC TO DOUBLE PRECISION, SETTING OVFIND ON THE RARE EVENT OF OVERFLOW. 049842,000935: 049843,000936: 7105 35021 ROUNDSUB CAF ZERO # SET MPAC +2 = 0 FOR SCALARS AND CHANGE 049844,000937: 7106 54163 +1 TS MODE # MODE TO DP. 049845,000938: 049846,000939: 7107 56156 VROUND XCH MPAC +2 # BUT WE NEEDN'T TAKE THE TIME FOR VECTORS. 049847,000940: 7110 60000 DOUBLE 049848,000941: 7111 54001 TS L 049849,000942: 7112 00002 TC Q 049850,000943: 049851,000944: 7113 60155 AD MPAC +1 # ADD ROUDING BIT IF MPAC +2 WAS GREATER 049852,000945: 7114 54155 TS MPAC +1 # THAN .5 IN MAGNITUDE. 049853,000946: 7115 00002 TC Q 049854,000947: 049855,000948: 7116 60154 AD MPAC # PROPAGATE INTERFLOW. 049856,000949: 7117 54154 TS MPAC 049857,000950: 7120 00002 TC Q 049858,000951: 049859,000952: 7121 54121 SETOVF2 TS OVFIND # (RARE). 049860,000953: 7122 00002 TC Q 049861,000954: 049862,000955: # Page 1138 049863,000956: # THE DOT PRODUCT SUBROUTINE USUALLY FORMS THE DOT PRODUCT OF THE VECTOR IN MPAC WITH A STANDARD SIX 049864,000957: # REGISTER VECTOR WHOSE ADDRESS IS IN ADDRWD. IN THIS CASE C(DOTINC) ARE SET TO 2. VXM, HOWEVER, SETS C(DOTINC) TO 049865,000958: # 6 SO THAT DOTSUB DOTS MPAC WITH A COLUMN VECTOR OF THE MATRIX IN QUESTION IN THIS CASE. 049866,000959: 049867,000960: 7123 35016 PREDOT CAF TWO # PROLOGUE TO SET DOTINC TO 2. 049868,000961: 7124 54136 TS DOTINC 049869,000962: 049870,000963: 7125 00006 DOTSUB EXTEND 049871,000964: 7126 22137 QXCH DOTRET # SAVE RETURN 049872,000965: 7127 07056 TC DMPSUB # DOT X COMPONENTS. 049873,000966: 7130 52160 DXCH MPAC +3 # POSITION Y COMPONENT OF MPAC FOR 049874,000967: 7131 52155 DXCH MPAC # MULTIPLICATION WHILE SAVING RESULT IN 049875,000968: 7132 52131 DXCH BUF # THREE WORD BUFFER, BUF. 049876,000969: 7133 30156 CA MPAC +2 049877,000970: 7134 54132 TS BUF +2 049878,000971: 049879,000972: 7135 30136 CA DOTINC # ADVANCE ADDRWD TO Y COMPONENT OF 049880,000973: 7136 26116 ADS ADDRWD # OTHER ARGUMENT. 049881,000974: 7137 07056 TC DMPSUB 049882,000975: 7140 52156 DXCH MPAC +1 # ACCUMULATE PARTIAL PRODUCTS. 049883,000976: 7141 20132 DAS BUF +1 049884,000977: 7142 60154 AD MPAC 049885,000978: 7143 60130 AD BUF 049886,000979: 7144 54130 TS BUF 049887,000980: 7145 17147 TCF +2 049888,000981: 7146 54121 TS OVFIND # IF OVERFLOW OCCURS. 049889,000982: 049890,000983: 7147 52162 DXCH MPAC +5 # MULTIPLY Z COMPONENTS. 049891,000984: 7150 52155 DXCH MPAC 049892,000985: 7151 30136 CA DOTINC 049893,000986: 7152 26116 ADS ADDRWD 049894,000987: 7153 07056 TC DMPSUB 049895,000988: 7154 52132 ENDDOT DXCH BUF +1 # LEAVE FINAL ACCUMULATION IN MPAC. 049896,000989: 7155 20156 DAS MPAC +1 049897,000990: 7156 60154 AD MPAC 049898,000991: 7157 60130 AD BUF 049899,000992: 7160 54154 TS MPAC 049900,000993: 7161 00137 TC DOTRET 049901,000994: 049902,000995: 7162 06766 TC OVERFLOW # ON OVERFLOW HERE. 049903,000996: 7163 00137 TC DOTRET 049904,000997: 049905,000998: # Page 1139 049906,000999: # DOUBLE PRECISION POLYNOMIAL EVALUATOR 049907,001000: # N N-1 049908,001001: # THIS ROUTINE EVALUATES A X + A X + ... + A X + A LEAVING THE DP RESULT IN MPAC ON EXIT. 049909,001002: # N N-1 1 0 049910,001003: 049911,001004: # THE ROUTINE HAS TWO ENTRIES 049912,001005: 049913,001006: # 1 ENTRY THRU POWRSERS. THE COEFFICIENTS MAY BE EITHER IN FIXED OR ERASABLE E. THE CALL IS BY 049914,001007: # TC POWRSERS, AND THE RETURN IS TO LOC(TC POWRSERS)+1. THE ENTERING DATA MUST BE AS FOLLOWS: 049915,001008: # A SP LOC-3 ADDRESS FOR REFERENCING COEF TABLE 049916,001009: # L SP N-1 N IS THE DEGREE OF THE POWER SERIES 049917,001010: # MPAC DP X ARGUMENT 049918,001011: # LOC-2N DP A(0) 049919,001012: # ... 049920,001013: # LOC DP A(N) 049921,001014: 049922,001015: # 2. ENTRY THRU POLY. THE CALL TO POLY AND THE ENTERING DATA MUST BE AS FOLLOWS 049923,001016: # MPAC DP X ARGUMENT 049924,001017: # LOC TC POLY 049925,001018: # LOC+1 DP A(0) 049926,001019: # ... 049927,001020: # LOC+2N+2 DP A(N) RETURN IS TO LOC+2N+4 049928,001021: 049929,001022: 7164 00006 POWRSERS EXTEND 049930,001023: 7165 22141 QXCH POLYRET # RETURN ADDRESS 049931,001024: 7166 54117 TS POLISH # POWER SERIES ADDRESS 049932,001025: 7167 22140 LXCH POLYCNT # N-1 TO COUNTER 049933,001026: 7170 17201 TCF POLYCOM # SKIP SET UP BY POLY 049934,001027: 049935,001028: 7171 50002 POLY INDEX Q 049936,001029: # Was CAF --- RSB 2009. 049937,001030: 7172 30000 CA 0 049938,001031: 7173 54140 TS POLYCNT # N-1 TO COUNTER 049939,001032: 7174 60000 DOUBLE 049940,001033: 7175 60002 AD Q 049941,001034: 7176 54117 TS POLISH # L(A(N))-3 TO POLISH 049942,001035: 7177 65022 AD FIVE 049943,001036: 7200 54141 TS POLYRET # STORE RETURN ADDRESS 049944,001037: 049945,001038: 7201 36242 POLYCOM CAF LVBUF # INCOMING X WILL BE MOVED TO VBUF, SO 049946,001039: 7202 54116 TS ADDRWD # SET ADDRWD SO DMPSUB WILL MPY BY VBUF. 049947,001040: 049948,001041: 7203 00006 EXTEND 049949,001042: 7204 50117 INDEX POLISH 049950,001043: 7205 30004 DCA 3 049951,001044: 049952,001045: # Page 1140 049953,001046: 7206 52155 DXCH MPAC # LOAD A(N) INTO MPAC 049954,001047: 7207 52123 DXCH VBUF # SAVING X IN VBUF 049955,001048: 7210 17214 TCF POLY2 049956,001049: 049957,001050: 7211 54140 POLYLOOP TS POLYCNT # SAVE DECREMENTD LOOP COUNTER 049958,001051: 7212 45016 CS TWO 049959,001052: 7213 26117 ADS POLISH # REGRESS COEFFICIENT POINTER 049960,001053: 049961,001054: 7214 07056 POLY2 TC DMPSUB # MULTIPLY BY X 049962,001055: 7215 00006 EXTEND 049963,001056: 7216 50117 INDEX POLISH 049964,001057: 7217 30002 DCA 1 # ADD IN NEXT COEFFICIENT 049965,001058: 7220 20155 DAS MPAC # USER'S RESPONSIBILITY TO ASSURE NO OVFLOW 049966,001059: 049967,001060: 7221 10140 CCS POLYCNT 049968,001061: 7222 17211 TCF POLYLOOP 049969,001062: 7223 00141 TC POLYRET # RETURN CALLER 049970,001063: 049971,001064: # Page 1141 049972,001065: # MISCELLANEOUS MULTI-PRECISION ROUTINES REQUIRED IN FIXED-FIXED BUT NOT USED BY THE INTERPRETER. 049973,001066: 049974,001067: 7224 35021 DPAGREE CAF ZERO # DOUBLE PRECISION ENTRY -- 049975,001068: 7225 54156 TS MPAC +2 # ZERO LOW-ORDER WORD 049976,001069: 049977,001070: 7226 22002 TPAGREE LXCH Q # FORCE SIGN AGREEMENT AMONG THE TRIPLE 049978,001071: 7227 06672 TC BRANCH # PRECISION CONTENTS OF MPAC. RETURNING 049979,001072: 7230 17234 TCF ARG+ # WITH SIGNUM OF THE INPUT IN A. 049980,001073: 7231 17254 TCF ARGZERO 049981,001074: 049982,001075: 7232 44777 CS POSMAX # IF NEGATIVE. 049983,001076: 7233 17235 TCF +2 049984,001077: 049985,001078: 7234 34777 ARG+ CAF POSMAX 049986,001079: 7235 54002 TS Q 049987,001080: 7236 00006 EXTEND 049988,001081: 7237 24000 AUG A # FORMS +-1.0. 049989,001082: 7240 60156 AD MPAC +2 049990,001083: 7241 54156 TS MPAC +2 049991,001084: 7242 35021 CAF ZERO 049992,001085: 7243 60002 AD Q 049993,001086: 7244 60155 AD MPAC +1 049994,001087: 7245 54155 TS MPAC +1 049995,001088: 7246 35021 CAF ZERO 049996,001089: 7247 60002 AD Q # Q STILL HAS POSMAX OR NEGMAX IN IT. 049997,001090: 7250 60154 AD MPAC 049998,001091: 7251 54154 ARGZERO2 TS MPAC # ALWAYS SKIPPING UNLESS ARGZERO. 049999,001092: 7252 54155 TS MPAC +1 050000,001093: 7253 00001 TC L # RETURN VIA L. 050001,001094: 050002,001095: 7254 54156 ARGZERO TS MPAC +2 # SET ALL THREE MPAC REGISTERS TO ZERO. 050003,001096: 7255 17251 TCF ARGZERO2 050004,001097: 050005,001098: # SHORTMP MULTIPLIES THE TP CONTENTS OF MPAC BY THE SINGLE PRECISION NUMBER ARRIVING IN A. 050006,001099: 050007,001100: 7256 54135 SHORTMP TS MPTEMP 050008,001101: 7257 00006 EXTEND 050009,001102: 7260 70156 MP MPAC +2 050010,001103: 7261 54156 TS MPAC +2 050011,001104: 7262 35021 SHORTMP2 CAF ZERO # SO SUBSEQUENT DAS WILL WORK. 050012,001105: 7263 56155 XCH MPAC +1 050013,001106: 7264 17075 TCF DMPSUB2 050014,001107: 050015,001108: # Page 1142 050016,001109: # DMPNSUB MULTIPLIES THE DP FRACTION ARRIVING IN MPAC BY THE SP 050017,001110: # INTEGER ARRIVING IN A. THE DP PRODUCT DEPARTS BOTH IN MPAC AND IN 050018,001111: # A AND L. NOTE THAT DMPNSUB NORMALLY INCREASES THE MAGNITUDE OF THE 050019,001112: # CONTENTS OF MPAC. THE CUSTOMER MUST INSURE THAT B(A) X B(MPAC,MPAC+1) 050020,001113: # AND B(A) X B(MPAC) ARE LESS THAN 1 IN MAGNITUDE, WHERE B, AS IS OBVIOUS, 050021,001114: # INDICATES THE ARRIVING CONTENTS. 050022,001115: 050023,001116: 7265 54135 DMPNSUB TS DMPNTEMP 050024,001117: 7266 00006 EXTEND 050025,001118: 7267 70155 MP MPAC +1 050026,001119: 7270 52155 DXCH MPAC # LOW PRODUCT TO MPAC, HIGH FACTOR TO A 050027,001120: 7271 00006 EXTEND 050028,001121: 7272 70135 MP DMPNTEMP 050029,001122: 7273 30001 CA L 050030,001123: 7274 26154 ADS MPAC # COMPLETING THE PRODUCT IN MPAC 050031,001124: 7275 00006 EXTEND 050032,001125: 7276 30155 DCA MPAC # BRINGING THE PRODUCT INTO A AND L 050033,001126: 7277 00002 TC Q 050034,001127: 050035,001128: # Page 1143 050036,001129: # MISCELLANEOUS VECTOR OPERATIONS. INCLUDED HERE ARE THE FOLLOWING. 050037,001130: # 1. DOT DP VECTOR DOT PRODUCT. 050038,001131: # 2. VXV DP VECTOR CROSS PRODUCT. 050039,001132: # 3. VXSC DP VECTOR TIMES SCALAR. 050040,001133: # 4. V/SC DP VECTOR DIVIDED BY SCALAR. 050041,001134: # 5. VPROJ DP VECTOR PROJECTION. ( (MPAC.X)MPAC ). 050042,001135: # 6. VXM DP VECTOR POST-MULTIPLIED BY MATRIX. 050043,001136: # 7. MXV DP VECTOR PRE-MULTIPLIED BY MATRIX. 050044,001137: 050045,001138: 7300 07123 DOT TC PREDOT # DO THE DOT PRODUCT AND EXIT, CHANGING 050046,001139: 7301 35021 DMODE CAF ZERO # THE MODE TO DP SCALAR. 050047,001140: 7302 16027 TCF NEWMODE 050048,001141: 050049,001142: 7303 35016 MXV CAF TWO # SET UP MATINC AND DOTINC FOR ROW 050050,001143: 7304 54140 TS MATINC # VECTORS. 050051,001144: 7305 17311 TCF VXM/MXV # GO TO COMMON PORTION. 050052,001145: 050053,001146: 7306 44377 VXM CS TEN # SET MATINC AND DOTINC TO REFER TO MATRIX 050054,001147: 7307 54140 TS MATINC # AS THREE COLUMN VECTORS. 050055,001148: 7310 36211 CAF SIX 050056,001149: 050057,001150: # Page 1144 050058,001151: # COMMON PORTION OF MXV AND VXM. 050059,001152: 050060,001153: 7311 54136 VXM/MXV TS DOTINC 050061,001154: 050062,001155: # ITRACE (2) REFERS TO "VXM/MXV". 050063,001156: 050064,001157: 7312 07501 TC MPACVBUF # SAVE VECTOR IN MPAC FOR FURTHER USE. 050065,001158: 050066,001159: 7313 07125 TC DOTSUB # GO DOT TO GET X COMPONENT OF ANSWER. 050067,001160: 7314 00006 EXTEND 050068,001161: 7315 30123 DCA VBUF # MOVE MPAC VECTOR BACK INTO MPAC, SAVING 050069,001162: 7316 52155 DXCH MPAC # NEW X COMPONENT IN BUF2. 050070,001163: 7317 52134 DXCH BUF2 050071,001164: 7320 00006 EXTEND 050072,001165: 7321 30125 DCA VBUF +2 050073,001166: 7322 52160 DXCH MPAC +3 050074,001167: 7323 00006 EXTEND 050075,001168: 7324 30127 DCA VBUF +4 050076,001169: 7325 52162 DXCH MPAC +5 050077,001170: 7326 30140 CA MATINC # INITIALIZE ADDRWD FOR NEXT DOT PRODUCT. 050078,001171: 7327 26116 ADS ADDRWD # FORMS HAS ADDRESS OF NEXT COLUMN(ROW). 050079,001172: 050080,001173: 7330 07125 TC DOTSUB 050081,001174: 7331 52123 DXCH VBUF # MORE GIVEN VECTOR BACK TO MPAC, SAVING Y 050082,001175: 7332 52155 DXCH MPAC # COMPONENT OF ANSWER IN VBUF +2. 050083,001176: 7333 52125 DXCH VBUF +2 050084,001177: 7334 52160 DXCH MPAC +3 050085,001178: 7335 52127 DXCH VBUF +4 050086,001179: 7336 52162 DXCH MPAC +5 050087,001180: 7337 30140 CA MATINC # FORM ADDRESS OF LAST COLUMN OR ROW. 050088,001181: 7340 26116 ADS ADDRWD 050089,001182: 050090,001183: 7341 07125 TC DOTSUB 050091,001184: 7342 52134 DXCH BUF2 # ANSWER NOW COMPLETE. PUT COMPONENTS INTO 050092,001185: 7343 52155 DXCH MPAC # PROPER MPAC REGISTERS. 050093,001186: 7344 52162 DXCH MPAC +5 050094,001187: 7345 52125 DXCH VBUF +2 050095,001188: 7346 52160 DXCH MPAC +3 050096,001189: 7347 16030 TCF DANZIG # EXIT. 050097,001190: 050098,001191: # Page 1145 050099,001192: # VXSC -- VECTOR TIMES SCALAR. 050100,001193: 050101,001194: 7350 10163 VXSC CCS MODE # TEST PRESENT MODE. 050102,001195: 7351 17377 TCF DVXSC # SEPARATE ROUTINE WHEN SCALAR IS IN MPAC. 050103,001196: 7352 17377 TCF DVXSC 050104,001197: 050105,001198: 7353 07056 VVXSC TC DMPSUB # COMPUTE X COMPONENT 050106,001199: 7354 07107 TC VROUND # AND ROUND IT. 050107,001200: 7355 52160 DXCH MPAC +3 # PUT Y COMPONENT INTO MPAC SAVING MPAC IN 050108,001201: 7356 52155 DXCH MPAC # MPAC +3. 050109,001202: 7357 52160 DXCH MPAC +3 050110,001203: 050111,001204: 7360 07056 TC DMPSUB # DO SAME FOR Y AND Z COMPONENTS. 050112,001205: 7361 07107 TC VROUND 050113,001206: 7362 52162 DXCH MPAC +5 050114,001207: 7363 52155 DXCH MPAC 050115,001208: 7364 52162 DXCH MPAC +5 050116,001209: 050117,001210: 7365 07056 TC DMPSUB 050118,001211: 7366 07107 TC VROUND 050119,001212: 7367 52155 VROTATEX DXCH MPAC # EXIT USED TO RESTORE MPAC AFTER THIS 050120,001213: 7370 52162 DXCH MPAC +5 # TYPE OF ROTATION. CALLED BY VECTOR SHIFT 050121,001214: 7371 52160 DXCH MPAC +3 # RIGHT, V/SC, ETC. 050122,001215: 7372 52155 DXCH MPAC 050123,001216: 7373 16030 TCF DANZIG 050124,001217: 050125,001218: # Page 1146 050126,001219: # DP VECTOR PROJECTION ROUTINE. 050127,001220: 050128,001221: 7374 07123 VPROJ TC PREDOT # (MPAC.X)MPAC IS COMPUTED AND LEFT IN 050129,001222: 7375 45015 CS FOUR # MPAC. DO DOT AND FALL INTO DVXSC. 050130,001223: 7376 26116 ADS ADDRWD 050131,001224: 050132,001225: # VXSC WHEN SCALAR ARRIVES IN MPAC AND VECTOR IS AT X. 050133,001226: 050134,001227: 7377 00006 DVXSC EXTEND # SAVE SCALAR IN MPAC +3 AND GET X 050135,001228: 7400 30155 DCA MPAC # COMPONENT OF ANWER. 050136,001229: 7401 52160 DXCH MPAC +3 050137,001230: 7402 07056 TC DMPSUB 050138,001231: 7403 07107 TC VROUND 050139,001232: 050140,001233: 7404 35016 CAF TWO # ADVANCE ADDRWD TO Y COMPONENT OF X. 050141,001234: 7405 26116 ADS ADDRWD 050142,001235: 7406 00006 EXTEND 050143,001236: 7407 30160 DCA MPAC +3 # PUT SCALAR BACK INTO MPAC AND SAVE 050144,001237: 7410 52155 DXCH MPAC # X RESULT IN MPAC +5. 050145,001238: 7411 52162 DXCH MPAC +5 050146,001239: 7412 07056 TC DMPSUB 050147,001240: 7413 07107 TC VROUND 050148,001241: 050149,001242: 7414 35016 CAF TWO 050150,001243: 7415 26116 ADS ADDRWD # TO Z COMPONENT. 050151,001244: 7416 52160 DXCH MPAC +3 # BRING SCALAR BACK, PUTTING Y RESULT IN 050152,001245: 7417 52155 DXCH MPAC # THE PROPER PLACE. 050153,001246: 7420 52160 DXCH MPAC +3 050154,001247: 7421 07056 TC DMPSUB 050155,001248: 7422 07107 TC VROUND 050156,001249: 050157,001250: 7423 52155 DXCH MPAC # PUT Z COMPONENT IN PROPER PLACE, ALSO 050158,001251: 7424 52162 DXCH MPAC +5 # POSITIONING X. 050159,001252: 7425 52155 DXCH MPAC 050160,001253: 050161,001254: 7426 16470 TCF VMODE # MODE HAS CHANGED TO VECTOR. 050162,001255: 050163,001256: # Page 1147 050164,001257: # VECTOR CROSS PRODUCT ROUTINE CALCULATES (X M -X M ,X M -X M ,X M -X M ) WHERE M IS THE VECTOR IN 050165,001258: # 3 2 2 3 1 3 3 1 2 1 1 2 050166,001259: # MPAC AND X THE VECTOR AT THE GIVEN ADDRESS. 050167,001260: 050168,001261: 7427 00006 VXV EXTEND 050169,001262: 7430 30162 DCA MPAC +5 # FORM UP M3X1, LEAVING M1 IN VBUF. 050170,001263: 7431 52155 DXCH MPAC 050171,001264: 7432 52123 DXCH VBUF 050172,001265: 7433 07056 TC DMPSUB # BY X1. 050173,001266: 050174,001267: 7434 00006 EXTEND 050175,001268: 7435 40160 DCS MPAC +3 # CALCULATE -X1M2, SAVING X1M3 IN VBUF +2. 050176,001269: 7436 52155 DXCH MPAC 050177,001270: 7437 52125 DXCH VBUF +2 050178,001271: 7440 07056 TC DMPSUB 050179,001272: 050180,001273: 7441 35016 CAF TWO # ADVANCE ADDRWD TO X2. 050181,001274: 7442 26116 ADS ADDRWD 050182,001275: 7443 00006 EXTEND 050183,001276: 7444 40162 DCS MPAC +5 # PREPARE TO GET -X2M3, SAVING -X1M2 IN 050184,001277: 7445 52155 DXCH MPAC # MPAC +5. 050185,001278: 7446 52162 DXCH MPAC +5 050186,001279: 7447 07056 TC DMPSUB 050187,001280: 050188,001281: 7450 00006 EXTEND 050189,001282: 7451 30123 DCA VBUF # GET X2M1, SAVING -X2M3 IN VBUF +4. 050190,001283: 7452 52155 DXCH MPAC 050191,001284: 7453 52127 DXCH VBUF +4 050192,001285: 7454 07056 TC DMPSUB 050193,001286: 050194,001287: 7455 35016 CAF TWO # ADVANCE ADDRWD TO X3. 050195,001288: 7456 26116 ADS ADDRWD 050196,001289: 7457 00006 EXTEND 050197,001290: 7460 40123 DCS VBUF # GET -X3M1, ADDING X2M1 TO MPAC +5 TO 050198,001291: 7461 52155 DXCH MPAC # COMPLETE THE Z COMPONENT OF THE ANSWER. 050199,001292: 7462 20162 DAS MPAC +5 050200,001293: 050201,001294: 7463 00006 EXTEND 050202,001295: 7464 17466 BZF +2 050203,001296: 7465 06760 TC OVERFLWZ 050204,001297: 050205,001298: 7466 07056 TC DMPSUB 050206,001299: 7467 52125 DXCH VBUF +2 # MOVE X1M3 TO MPAC +3 SETTING UP FOR X3M2 050207,001300: 7470 52160 DXCH MPAC +3 # AND ADD -X3M1 TO MPAC +3 TO COMPLETE THE 050208,001301: 7471 52155 DXCH MPAC # Y COMPONENT OF THE RESULT. 050209,001302: 7472 20160 DAS MPAC +3 050210,001303: 050211,001304: 7473 00006 EXTEND 050212,001305: 7474 17476 BZF +2 050213,001306: # Page 1148 050214,001307: 7475 06763 TC OVERFLWY 050215,001308: 050216,001309: 7476 07056 TC DMPSUB 050217,001310: 7477 52127 DXCH VBUF +4 # GO ADD -X2M3 TO X3M2 TO COMPLETE THE X 050218,001311: 7500 16747 TCF ENDVXV # COMPONENT (TAIL END OF DAD). 050219,001312: 050220,001313: # THE MPACVBUF SUBROUTINE SAVES THE VECTOR IN MPAC IN VBUF WITHOUT CLOBBERING MPAC. 050221,001314: 050222,001315: 7501 00006 MPACVBUF EXTEND # CALLED BY MXV, VXM, AND UNIT. 050223,001316: 7502 30155 DCA MPAC 050224,001317: 7503 52123 DXCH VBUF 050225,001318: 7504 00006 EXTEND 050226,001319: 7505 30160 DCA MPAC +3 050227,001320: 7506 52125 DXCH VBUF +2 050228,001321: 7507 00006 EXTEND 050229,001322: 7510 30162 DCA MPAC +5 050230,001323: 7511 52127 DXCH VBUF +4 050231,001324: 7512 00002 TC Q # RETURN TO CALLER. 050232,001325: 050233,001326: # DOUBLE PRECISION SIGN AGREE ROUTINE. ARRIVE WITH INPUT IN A+L. OUTPUT IS IN A + L. 050234,001327: 050235,001328: 7513 10000 ALSIGNAG CCS A # TEST UPPER PART. 050236,001329: 7514 17520 TCF UPPOS # IT IS POSITIVE 050237,001330: 7515 00002 TC Q # ZERO 050238,001331: 7516 17530 TCF UPNEG # NEGATIVE 050239,001332: 7517 00002 TC Q # ZERO 050240,001333: 050241,001334: 7520 56001 UPPOS XCH L # SAVE DECREMENTED UPPER PART. 050242,001335: 7521 65002 AD HALF 050243,001336: 7522 65002 AD HALF 050244,001337: 7523 54000 TS A # SKIPS ON OVERFLOW 050245,001338: 7524 17526 TCF +2 050246,001339: 7525 24001 INCR L # RESTORE UPPER TO ORIGINAL VALUE 050247,001340: 7526 56001 XCH L # SWAP A + L BANCK. 050248,001341: 7527 00002 TC Q 050249,001342: 050250,001343: 7530 56001 UPNEG XCH L # SAVE COMPLEMENTED + DECREMENTED UPPER PT 050251,001344: 7531 65001 AD NEGMAX 050252,001345: 7532 67716 AD NEGONE 050253,001346: 7533 54000 TS A 050254,001347: 7534 17536 TCF +2 # DON'T INCREMENT IF NO OVERFLOW. 050255,001348: 7535 24001 INCR L 050256,001349: 7536 56001 XCH L 050257,001350: 7537 40000 COM # MAKE NEGATIVE AGAIN. 050258,001351: 7540 00002 TC Q 050259,001352: 050260,001353: # Page 1149 050261,001354: # INTERPRETIVE INSTRUCTIONS WHOSE EXECUTION CONSISTS OF PRINCIPALLY CALLING SUBROUTINES. 050262,001355: 050263,001356: 7541 07056 DMP1 TC DMPSUB # DMP INSTRUCTIONS 050264,001357: 7542 16030 TCF DANZIG 050265,001358: 050266,001359: 7543 07056 DMPR TC DMPSUB 050267,001360: 7544 07106 TC ROUNDSUB +1 # (C(A) = +0). 050268,001361: 7545 16030 TCF DANZIG 050269,001362: 050270,001363: 7546 00006 DDV EXTEND 050271,001364: 7547 50116 INDEX ADDRWD # MOVE DIVIDENT INTO BUF. 050272,001365: 7550 30001 DCA 0 050273,001366: 7551 17556 TCF BDDV +4 050274,001367: 050275,001368: 7552 00006 BDDV EXTEND # MOVE DIVISOR INTO MPAC SAVING MPAC, THE 050276,001369: 7553 50116 INDEX ADDRWD # DIVIDEND, IN BUF. 050277,001370: 7554 30001 DCA 0 050278,001371: 7555 52155 DXCH MPAC 050279,001372: 7556 52131 +4 DXCH BUF 050280,001373: 7557 35021 CAF ZERO # DIVIDE ROUTINES IN BANK 0. 050281,001374: 7560 54004 TS FBANK 050282,001375: 7561 12353 TCF DDV/BDDV 050283,001376: 050284,001377: 7562 30116 SETPD CA ADDRWD # MUST SET TO WORK AREA, OR EBANK TROUBLE. 050285,001378: 7563 54166 TS PUSHLOC 050286,001379: 7564 16032 TCF NOIBNKSW # NO FBANK SWITCH REQUIRED. 050287,001380: 050288,001381: 7565 35021 TSLC CAF ZERO # SHIFTING ROUTINES LOCATED IN BANK 00. 050289,001382: 7566 54004 TS FBANK 050290,001383: 7567 12172 TCF TSLC2 050291,001384: 050292,001385: 7570 36043 GSHIFT CAF LOW7 # USED AS MASK AT GENSHIFT. THIS PROCESSES 050293,001386: 7571 54004 TS FBANK # ANY SHIFT INSTRUCTION (EXCEPT TSLC) WITH 050294,001387: 7572 12214 TCF GENSHIFT # AN ADDRESS (ROUTINES IN BANK 0). 050295,001388: 050296,001389: # Page 1150 050297,001390: # THE FOLLOWING IS THE PROLOGUE TO V/SC. IF THE PRESENT MODE IS VECTOR, IT SAVES THE SCALAR AT X IN BUF 050298,001391: # AND CALLS THE V/SC ROUTINE IN BANK 0. IF THE PRESENT MODE IS SCALAR, IT MOVES THE VECTOR AT X INTO MPAC, SAVING 050299,001392: # THE SCALAR IN MPAC IN BUF BEFORE CALLING THE V/SC ROUTINE IN BANK 0. 050300,001393: 050301,001394: 7573 10163 V/SC CCS MODE 050302,001395: 7574 17605 TCF DV/SC # MOVE VECTOR INTO MPAC. 050303,001396: 7575 17605 TCF DV/SC 050304,001397: 050305,001398: 7576 00006 VV/SC EXTEND 050306,001399: 7577 50116 INDEX ADDRWD 050307,001400: 7600 30001 DCA 0 050308,001401: 7601 52131 V/SC1 DXCH BUF # IN BOTH CASES, VECTOR IS NOW IN MPAC AND 050309,001402: 7602 35021 CAF ZERO # SCALAR IN BUF. 050310,001403: 7603 54004 TS FBANK 050311,001404: 7604 12654 TCF V/SC2 050312,001405: 050313,001406: 7605 00006 DV/SC EXTEND 050314,001407: 7606 50116 INDEX ADDRWD 050315,001408: 7607 30003 DCA 2 050316,001409: 7610 52160 DXCH MPAC +3 050317,001410: 7611 00006 EXTEND 050318,001411: 7612 50116 INDEX ADDRWD 050319,001412: 7613 30005 DCA 4 050320,001413: 7614 52162 DXCH MPAC +5 050321,001414: 050322,001415: 7615 45017 CS ONE # CHANGE MODE TO VECTOR. 050323,001416: 7616 54163 TS MODE 050324,001417: 050325,001418: 7617 00006 EXTEND 050326,001419: 7620 50116 INDEX ADDRWD 050327,001420: 7621 30001 DCA 0 050328,001421: 7622 52155 DXCH MPAC 050329,001422: 7623 17601 TCF V/SC1 050330,001423: 050331,001424: # Page 1151 050332,001425: # SIGN AND COMPLEMENT INSTRUCTIONS. 050333,001426: 050334,001427: 7624 50116 SIGN INDEX ADDRWD # CALL COMP INSTRUCTION IF WORD AT X IS 050335,001428: 7625 10000 CCS 0 # NEGATIVE NON-ZERO. 050336,001429: 7626 16030 TCF DANZIG 050337,001430: 7627 17631 TCF +2 050338,001431: 7630 17637 TCF COMP # DO THE COMPLEMENT. 050339,001432: 050340,001433: 7631 50116 INDEX ADDRWD 050341,001434: 7632 10001 CCSL CCS 1 050342,001435: 7633 16030 TCF DANZIG 050343,001436: 7634 16030 TCF DANZIG 050344,001437: 7635 17637 TCF COMP 050345,001438: 7636 16030 TCF DANZIG 050346,001439: 7637 00006 COMP EXTEND # COMPLEMENT DP MPAC IN EVERY CASE. 050347,001440: 7640 40155 DCS MPAC 050348,001441: 7641 52155 DXCH MPAC 050349,001442: 050350,001443: 7642 10163 CCS MODE # EITHER COMPLEMENT MPAC +3 OR THE REST OF 050351,001444: 7643 17654 TCF DCOMP # THE VECTOR ACCUMULATOR. 050352,001445: 7644 17654 TCF DCOMP 050353,001446: 050354,001447: 7645 00006 EXTEND # VECTOR COMPLEMENT. 050355,001448: 7646 40160 DCS MPAC +3 050356,001449: 7647 52160 DXCH MPAC +3 050357,001450: 7650 00006 EXTEND 050358,001451: 7651 40162 DCS MPAC +5 050359,001452: 7652 52162 DXCH MPAC +5 050360,001453: 7653 16030 TCF DANZIG 050361,001454: 050362,001455: 7654 40156 DCOMP CS MPAC +2 050363,001456: 7655 54156 TS MPAC +2 050364,001457: 7656 16030 TCF DANZIG 050365,001458: 050366,001459: # Page 1152 050367,001460: # THE FOLLOWING SHORT SHIFT CODES REQUIRE NO ADDRESS WORD: 050368,001461: # 1. SR1 TO SR4 SCALAR SHIFT RIGHT. 050369,001462: # 2. SR1R TO SR4R SCALAR SHIFT RIGHT AND ROUND. 050370,001463: # 3. SL1 TO SL4 SCALAR SHIFT LEFT. 050371,001464: # 4. SL1R TO SL4R SCALAR SHIFT LEFT AND ROUND. 050372,001465: # 5. VSR1 TO VSR8 VECTOR SHIFT RIGHT (ALWAYS ROUNDS). 050373,001466: # 6. VSL1 TO VSL8 VECTOR SHIFT LEFT (NEVER ROUNDS). 050374,001467: # THE FOLLOWING CODES REQUIRE AN ADDRESS WHICH MAY BE INDEXED:* 050375,001468: # 1. SR SCALAR SHIFT RIGHT. 050376,001469: # 2. SRR SCALAR SHIFT RIGHT AND ROUND. 050377,001470: # 3. SL SCALAR SHIFT LEFT. 050378,001471: # 4. SLR SCALAR SHIFT LEFT AND ROUND. 050379,001472: # 5. VSR VECTOR SHIFT RIGHT. 050380,001473: # 6. VSL VECTOR SHIFT LEFT. 050381,001474: # * IF THE ADDRESS IS INDEXED, AND THE INDEX MODIFICATION RESULTS IN A NEGATIVE SHIFT COUNT, A SHIFT OF THE 050382,001475: # ABSOLUTE VALUE OF THE COUNT IS DONE IN THE OPPOSITE DIRECTION. 050383,001476: 050384,001477: 00,2017 BANK 00 050385,001478: 050386,001479: 00,2017 COUNT 00/INTER 050387,001480: 050388,001481: 00,2017 36211 SHORTT CAF SIX # SCALAR SHORT SHIFTS COME HERE. THE SHIFT 050389,001482: 00,2020 70020 MASK CYR # COUNT-1 IS NOW IN BITS 2-3 OF CYR. THE 050390,001483: 00,2021 54021 TS SR # ROUNDING BIT IS IN BIT1 AT THIS POINT. 050391,001484: 050392,001485: 00,2022 10020 CCS CYR # SEE IF RIGHT OR LEFT SHIFT DESIRED. 050393,001486: 00,2023 12101 TCF TSSL # SHIFT LEFT. 050394,001487: 050395,001488: 00,2024 00024 SRDDV DEC 20 B-14 # MPTEMP SETTING FOR SR BEFORE DDV. 050396,001489: 050397,001490: 00,2025 50021 TSSR INDEX SR # GET SHIFTING BIT. 050398,001491: 00,2026 35002 CAF BIT14 050399,001492: 00,2027 54135 TS MPTEMP 050400,001493: 050401,001494: 00,2030 10020 CCS CYR # SEE IF A ROUND IS DESIRED. 050402,001495: 00,2031 02050 RIGHTR TC MPACSRND # YES -- SHIFT RIGHT AND ROUND. 050403,001496: 00,2032 16027 TCF NEWMODE # SET MODE TO DP (C(A) = 0). 050404,001497: 00,2033 30135 MPACSHR CA MPTEMP # DO A TRIPLE PRECISION SHIFT RIGHT. 050405,001498: 00,2034 00006 EXTEND 050406,001499: 00,2035 70156 MP MPAC +2 050407,001500: 00,2036 54156 +3 TS MPAC +2 # (EXIT FROM SQRT AND ABVAL). 050408,001501: 00,2037 30135 CA MPTEMP 050409,001502: 00,2040 00006 EXTEND 050410,001503: # Page 1153 050411,001504: 00,2041 70154 MP MPAC # SHIFT MAJOR PART INTO A,L AND PLACE IN 050412,001505: 00,2042 52155 DXCH MPAC # MPAC,+1. 050413,001506: 00,2043 30135 CA MPTEMP 050414,001507: 00,2044 00006 EXTEND 050415,001508: 00,2045 70001 MP L # ORIGINAL C(MPAC +1). 050416,001509: 00,2046 20156 DAS MPAC +1 # GUARANTEED NO OVERFLOW. 050417,001510: 00,2047 16030 TCF DANZIG 050418,001511: 050419,001512: # MPAC SHIFT RIGHT AND ROUND SUBROUTINES 050420,001513: 050421,001514: 00,2050 30156 MPACSRND CA MPAC +2 # WE HAVE TO DO ALL THREE MULTIPLIES SINCE 050422,001515: 00,2051 00006 EXTEND # MPAC +1 AND MPAC +2 MIGHT HAVE SIGN 050423,001516: 00,2052 70135 MP MPTEMP # DISAGREEMENT WITH A SHIFT RIGHT OF L. 050424,001517: 00,2053 56155 XCH MPAC +1 050425,001518: 00,2054 00006 EXTEND 050426,001519: 00,2055 70135 MP MPTEMP 050427,001520: 00,2056 56155 XCH MPAC +1 # TRIAL MINOR PART. 050428,001521: 00,2057 60001 AD L 050429,001522: 050430,001523: 00,2060 60000 VSHR2 DOUBLE # (FINISH VECTOR COMPONENT SHIFT RIGHT 050431,001524: 00,2061 54156 TS MPAC +2 # AND ROUND.) 050432,001525: 00,2062 12064 TCF +2 050433,001526: 00,2063 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW. 050434,001527: 050435,001528: 00,2064 35021 CAF ZERO 050436,001529: 00,2065 54156 TS MPAC +2 050437,001530: 00,2066 56154 XCH MPAC # SETTING TO ZERO SO FOLLOWING DAS WORKS. 050438,001531: 00,2067 00006 EXTEND 050439,001532: 00,2070 70135 MP MPTEMP 050440,001533: 00,2071 20155 DAS MPAC # AGAIN NO OVERFLOW. 050441,001534: 00,2072 00002 TC Q 050442,001535: 050443,001536: 00,2073 30135 VSHRRND CA MPTEMP # ENTRY TO SHIFT RIGHT AND ROUND MPAC WHEN 050444,001537: 00,2074 00006 EXTEND # MPAC CONTAINS A VECTOR COMPONENT. 050445,001538: 00,2075 70155 MP MPAC +1 050446,001539: 00,2076 54155 TS MPAC +1 050447,001540: 00,2077 56001 XCH L 050448,001541: 00,2100 12060 TCF VSHR2 # GO ADD ONE IF NECESSARY AND FINISH. 050449,001542: 050450,001543: # Page 1154 050451,001544: # ROUTINE FOR SHORT SCALAR SHIFT LEFT (AND MAYBE ROUND). 050452,001545: 050453,001546: 00,2101 30021 TSSL CA SR # GET SHIFT COUNT FOR SR. 050454,001547: 00,2102 54135 +1 TS MPTEMP 050455,001548: 050456,001549: 00,2103 00006 +2 EXTEND # ENTRY HERE FROM SL FOR SCALARS. 050457,001550: 00,2104 30156 DCA MPAC +1 # SHIFTING LEFT ONE PLACE AT A TIME IS 050458,001551: 00,2105 20156 DAS MPAC +1 # FASTER THAN DOING THE WHOLE SHIFT WITH 050459,001552: 00,2106 60154 AD MPAC # MULTIPLIES ASSUMING THAT FREQUENCY OF 050460,001553: 00,2107 60154 AD MPAC # SHIFT COUNTS GOES DOWN RAPIDLY AS A 050461,001554: 00,2110 54154 TS MPAC # FUNCTION OF THEIR MAGNITUDE. 050462,001555: 00,2111 12113 TCF +2 050463,001556: 00,2112 54121 TS OVFIND # OVERFLOW. (LEAVES OVERFLOW-CORRECTED 050464,001557: # RESULT ANYWAY). 050465,001558: 00,2113 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNT. 050466,001559: 00,2114 12102 TCF TSSL +1 050467,001560: 050468,001561: 00,2115 10020 CCS CYR # SEE IF ROUND WANTED. 050469,001562: 00,2116 07105 ROUND TC ROUNDSUB # YES -- ROUND AND EXIT. 050470,001563: 00,2117 16030 TCF DANZIG # SL LEAVES A ZERO IN CYR FOR NO ROUND. 050471,001564: 00,2120 16030 TCF DANZIG # NO -- EXIT IMMEDIATELY 050472,001565: 050473,001566: # Page 1155 050474,001567: # VECTOR SHIFTING ROUTINES. 050475,001568: 050476,001569: 00,2121 35023 SHORTV CAF LOW3 # SAVE 3 BIT SHIFT COUNT -- 1 WITHOUT 050477,001570: 00,2122 70020 MASK CYR # EDITING CYR. 050478,001571: 00,2123 54135 TS MPTEMP 050479,001572: 00,2124 10020 CCS CYR # SEE IF LEFT OR RIGHT SHIFT. 050480,001573: 00,2125 12145 TCF VSSL # VECTOR SHIFT LEFT. 050481,001574: 00,2126 00176 OCT176 OCT 176 # USED IN PROCESSED SHIFTS WITH - COUNT. 050482,001575: 050483,001576: 00,2127 50135 VSSR INDEX MPTEMP # (ENTRY FROM SR). PICK UP SHIFTING BIT. 050484,001577: 00,2130 35002 CAF BIT14 # MPTEMP CONTAINS THE SHIFT COUNT - 1. 050485,001578: 00,2131 54135 TS MPTEMP 050486,001579: 00,2132 02073 TC VSHRRND # SHIFT X COMPONENT. 050487,001580: 050488,001581: 00,2133 52155 DXCH MPAC # SWAP X AND Y COMPONENTS. 050489,001582: 00,2134 52160 DXCH MPAC +3 050490,001583: 00,2135 52155 DXCH MPAC 050491,001584: 00,2136 02073 TC VSHRRND # SHIFT Y COMPONENT. 050492,001585: 050493,001586: 00,2137 52155 DXCH MPAC # SWAP Y AND Z COMPONENTS. 050494,001587: 00,2140 52162 DXCH MPAC +5 050495,001588: 00,2141 52155 DXCH MPAC 050496,001589: 00,2142 02073 TC VSHRRND # SHIFT Z COMPONENT. 050497,001590: 050498,001591: 00,2143 17367 TCF VROTATEX # RESTORE COMPONENTS TO PROPER PLACES. 050499,001592: 050500,001593: # Page 1156 050501,001594: # VECTOR SHIFT LEFT -- DONE ONE PLACE AT A TIME. 050502,001595: 050503,001596: 00,2144 54135 -1 TS MPTEMP # SHIFTING LOOP. 050504,001597: 050505,001598: 00,2145 00006 VSSL EXTEND 050506,001599: 00,2146 30155 DCA MPAC 050507,001600: 00,2147 20155 DAS MPAC 050508,001601: 00,2150 00006 EXTEND 050509,001602: 00,2151 12153 BZF +2 050510,001603: 00,2152 06766 TC OVERFLOW 050511,001604: 050512,001605: 00,2153 00006 EXTEND 050513,001606: 00,2154 30160 DCA MPAC +3 050514,001607: 00,2155 20160 DAS MPAC +3 050515,001608: 00,2156 00006 EXTEND 050516,001609: 00,2157 12161 BZF +2 050517,001610: 00,2160 06763 TC OVERFLWY 050518,001611: 050519,001612: 00,2161 00006 EXTEND 050520,001613: 00,2162 30162 DCA MPAC +5 050521,001614: 00,2163 20162 DAS MPAC +5 050522,001615: 00,2164 00006 EXTEND 050523,001616: 00,2165 12167 BZF +2 050524,001617: 00,2166 06760 TC OVERFLWZ 050525,001618: 050526,001619: 00,2167 10135 CCS MPTEMP # LOOP ON DECREMENTED SHIFT COUNTER. 050527,001620: 00,2170 12144 TCF VSSL -1 050528,001621: 00,2171 16030 TCF DANZIG # EXIT. 050529,001622: 050530,001623: # Page 1157 050531,001624: # TSLC -- TRIPLE SHIFT LEFT AND COUNT. SHIFTS MPAC LEFT UNTIL GREATER THAN .5 IN MAGNITUDE, LEAVING 050532,001625: # THE COMPLEMENT OF THE NUMBER OF SHIFTS REQUIRED IN X. 050533,001626: 050534,001627: 00,2172 54135 TSLC2 TS MPTEMP # START BY ZEROING SHIFT COUNT (IN A NOW). 050535,001628: 00,2173 06672 TC BRANCH # EXIT WITH NO SHIFTING IF ARGUMENT ZERO. 050536,001629: 00,2174 12176 TCF +2 050537,001630: 00,2175 12212 TCF ENDTSLC # STORES ZERO SHIFT COUNT IN THIS CASE. 050538,001631: 050539,001632: 00,2176 07226 TC TPAGREE # MAY CAUSE UPSHIFT OF ONE EXTRA PLACE. 050540,001633: 050541,001634: 00,2177 30154 CA MPAC # BEGIN NORMALIZATION LOOP. 050542,001635: 00,2200 12207 TCF TSLCTEST 050543,001636: 050544,001637: 00,2201 24135 TSLCLOOP INCR MPTEMP # INCREMENT SHIFT COUNTER. 050545,001638: 00,2202 00006 EXTEND 050546,001639: 00,2203 30156 DCA MPAC +1 050547,001640: 00,2204 20156 DAS MPAC +1 050548,001641: 00,2205 60154 AD MPAC 050549,001642: 00,2206 26154 ADS MPAC 050550,001643: 00,2207 60000 TSLCTEST DOUBLE # SEE IF (ANOTHER) SHIFT IS REQUIRED 050551,001644: 00,2210 54000 OVSK 050552,001645: 00,2211 12201 TCF TSLCLOOP # YES -- INCREMENT COUNT AND SHIFT AGAIN. 050553,001646: 050554,001647: 00,2212 40135 ENDTSLC CS MPTEMP 050555,001648: 00,2213 16572 TCF STORE1 # STORE SHIFT COUNT AND RETURN TO DANZIG. 050556,001649: 050557,001650: # Page 1158 050558,001651: # THE FOLLOWING ROUTINE PROCESSES THE GENERAL SHIFT INSTRUCTIONS SR, SRR, SL, AND SLR. 050559,001652: # THE GIVEN ADDRESS IS DECODED AS FOLLOWS: 050560,001653: # BITS 1-7 SHIFT COUNT (SUBADDRESS) LESS THAN 125 DECIMAL. 050561,001654: # BIT 8 PSEUDO SIGN BIT (DETECTS CHANGE IN SIGN IN INDEXED SHIFTS). 050562,001655: # BIT 9 0 FOR LEFT SHIFT, AND 1 FOR RIGHT SHIFT. 050563,001656: # BIT 10 1 FOR TERMINAL ROUND ON SCALAR SHIFTS, 0 OTHERWISE 050564,001657: # BITS 11-13 0. 050565,001658: # BIT 14 1. 050566,001659: # BIT 15 0. 050567,001660: # THE ABOVE ENCODING IS DONE BY THE YUL SYSTEM. 050568,001661: 050569,001662: 00,2214 70116 GENSHIFT MASK ADDRWD # GET SHIFT COUNT, TESTING FOR ZERO. 050570,001663: 00,2215 10000 CCS A # (ARRIVES WITH C(A) = LOW7). 050571,001664: 00,2216 12224 TCF GENSHFT2 # IF NON-ZERO, PROCEED WITH DECREMENTED CT 050572,001665: 050573,001666: 00,2217 35006 CAF BIT10 # ZERO SHIFT COUNT. NO SHIFTS NEEDED BUT 050574,001667: 00,2220 70116 MASK ADDRWD # WE MIGHT HAVE TO ROUND MPAC ON SLR AND 050575,001668: 00,2221 10000 CCS A # SRR (SCALAR ONLY). 050576,001669: 00,2222 07105 TC ROUNDSUB 050577,001670: 00,2223 16030 TCF DANZIG 050578,001671: 050579,001672: 00,2224 54135 GENSHFT2 TS MPTEMP # DECREMENTED SHIFT COUNT TO MPTEMP. 050580,001673: 00,2225 35010 CAF BIT8 # TEST MEANING OF LOW SEVEN BIT COUNT IN 050581,001674: 00,2226 00006 EXTEND # MPTEMP NOW. 050582,001675: 00,2227 70116 MP ADDRWD 050583,001676: 00,2230 76214 MASK LOW2 # JUMPS ON SHIFT DIRECTION (BIT8) AND 050584,001677: 00,2231 50000 INDEX A 050585,001678: 00,2232 12233 TCF +1 # ORIGINAL SHIFT DIRECTION (BIT 9) 050586,001679: 00,2233 12332 TCF RIGHT- # NEGATIVE SHIFT COUNT FOR SL OR SLR. 050587,001680: 00,2234 12342 TCF LEFT # SL OR SLR. 050588,001681: 00,2235 12336 TCF LEFT- # NEGATIVE SHIFT COUNT WITH SR OR SRR. 050589,001682: 050590,001683: # Page 1159 050591,001684: # GENERAL SHIFT RIGHT 050592,001685: 050593,001686: 00,2236 10163 RIGHT CCS MODE # SET IF VECTOR OR SCALAR. 050594,001687: 00,2237 12277 TCF GENSCR 050595,001688: 00,2240 12277 TCF GENSCR 050596,001689: 050597,001690: 00,2241 30135 CA MPTEMP # SEE IF SHIFT COUNT LESS THAN 14D. 050598,001691: 00,2242 63730 VRIGHT2 AD NEG12 050599,001692: 00,2243 00006 EXTEND 050600,001693: 00,2244 62127 BZMF VSSR # IF SO, BRANCH AND SHIFT IMMEDIATELY. 050601,001694: 050602,001695: 00,2245 67716 AD NEGONE # IF NOT, REDUCE MPTEMP BY A TOTAL OF 14. 050603,001696: 00,2246 54135 TS MPTEMP # AND DO A SHIFT RIGHT AND ROUND BY 14. 050604,001697: 00,2247 35021 CAF ZERO # THE ROUND AT THIS STAGE MAY INTRODUCE A 050605,001698: 00,2250 54001 TS L # ONE BIT ERROR IN A SHIFT RIGHT 15D. 050606,001699: 00,2251 56154 XCH MPAC 050607,001700: 00,2252 56155 XCH MPAC +1 050608,001701: 00,2253 02272 TC SETROUND # X COMPONENT NOW SHIFTED, SO MAKE UP THE 050609,001702: 00,2254 20155 DAS MPAC # ROUNDING QUANTITY (0 IN A AND 0 OR +-1 050610,001703: # IN L). 050611,001704: 00,2255 56157 XCH MPAC +3 # REPEAT THE ABOVE PROCESS FOR Y AND Z/ 050612,001705: 00,2256 56160 XCH MPAC +4 050613,001706: 00,2257 02272 TC SETROUND 050614,001707: 00,2260 20160 DAS MPAC +3 # NO OVERFLOW ON THESE ADDS. 050615,001708: 050616,001709: 00,2261 56161 XCH MPAC +5 050617,001710: 00,2262 56162 XCH MPAC +6 050618,001711: 00,2263 02272 TC SETROUND 050619,001712: 00,2264 20162 DAS MPAC +5 050620,001713: 050621,001714: 00,2265 10135 CCS MPTEMP # SEE IF DONE, DOING FINAL DECREMENT. 050622,001715: 00,2266 54135 TS MPTEMP 050623,001716: 00,2267 12242 TCF VRIGHT2 050624,001717: 00,2270 04604 BIASLO DEC .2974 B-1 # SQRT CONSTANT 050625,001718: 050626,001719: 00,2271 16030 TCF DANZIG 050627,001720: 050628,001721: 00,2272 60000 SETROUND DOUBLE # MAKES UP ROUNDING QUANTITY FROM ARRIVING 050629,001722: 00,2273 54156 TS MPAC +2 # C(A). L IS ZERO INITIALLY. 050630,001723: 00,2274 35021 CAF ZERO 050631,001724: 00,2275 56001 XCH L 050632,001725: 00,2276 00002 TC Q # RETURN AND DO THE DAS, RESETTING L TO 0. 050633,001726: 050634,001727: # Page 1160 050635,001728: # PROCESS SR AND SRR FOR SCALARS. 050636,001729: 050637,001730: 00,2277 30135 GENSCR CA MPTEMP # SEE IF THE ORIGINAL SHIFT COUNT WAS LESS 050638,001731: 00,2300 63730 +1 AD NEG12 # THAN 14D. 050639,001732: 00,2301 00006 EXTEND 050640,001733: 00,2302 62322 BZMF DOSSHFT # DO THE SHIFT IMMEDIATELY IF SO. 050641,001734: 050642,001735: 00,2303 67716 +4 AD NEGONE # IF NOT, DECREMENT SHIFT COUNT BY 14D AND 050643,001736: 00,2304 54135 TS MPTEMP # SHIFT MPAC RIGHT 14 PLACES. 050644,001737: 00,2305 35021 CAF ZERO 050645,001738: 00,2306 56154 XCH MPAC 050646,001739: 00,2307 56155 XCH MPAC +1 050647,001740: 00,2310 54156 TS MPAC +2 050648,001741: 00,2311 10135 CCS MPTEMP # SEE IF FINISHED, DO FINAL DECREMENT. 050649,001742: 00,2312 54135 TS MPTEMP 050650,001743: 00,2313 02300 TC GENSCR +1 050651,001744: 00,2314 22650 SLOPEHI DEC .5884 # SQRT CONSTANT. 050652,001745: 00,2315 35006 CAF BIT10 # FINISHED WITH SHIFT. SEE IF ROUND 050653,001746: 00,2316 70116 MASK ADDRWD # WANTED. 050654,001747: 00,2317 10000 CCS A 050655,001748: 00,2320 07105 TC ROUNDSUB 050656,001749: 00,2321 16030 TCF DANZIG # DO SO AND/OR EXIT. 050657,001750: 050658,001751: 00,2322 50135 DOSSHFT INDEX MPTEMP # PICK UP SHIFTING BIT. 050659,001752: 00,2323 35002 CAF BIT14 050660,001753: 00,2324 54135 TS MPTEMP 050661,001754: 00,2325 35006 CAF BIT10 # SEE IF TERMINAL ROUND DESIRED. 050662,001755: 00,2326 70116 MASK ADDRWD 050663,001756: 00,2327 10000 CCS A 050664,001757: 00,2330 12031 TCF RIGHTR # YES. 050665,001758: 00,2331 12033 TCF MPACSHR # JUST SHIFT RIGHT. 050666,001759: 050667,001760: # Page 1161 050668,001761: # PROCESS THE RIGHT- (SL(R) WITH A NEGATIVE COUNT), LEFT-, AND LEFT OPTIONS. 050669,001762: 050670,001763: 00,2332 40135 RIGHT- CS MPTEMP # GET ABSOLUTE VALUE - 1 OF SHIFT COUNT 050671,001764: 00,2333 62126 AD OCT176 # UNDERSTANDING THAT BIT8 (PSEUDO-SIGN) 050672,001765: 00,2334 54135 TS MPTEMP # WAS 1 INITIALLY. 050673,001766: 00,2335 12236 TCF RIGHT # DO NORMAL SHIFT RIGHT. 050674,001767: 050675,001768: 00,2336 42126 LEFT- CS OCT176 # SAME PROLOGUE TO LEFT FOR INDEXED RIGHT 050676,001769: 00,2337 60135 AD MPTEMP # SHIFT WHOSE NET SHIFT COUNT IS NEGATIVE 050677,001770: 00,2340 40000 COM 050678,001771: 00,2341 54135 TS MPTEMP 050679,001772: 050680,001773: 00,2342 10163 LEFT CCS MODE # SINCE LEFT SHIFTING IS DONE ONE PLACE AT 050681,001774: 00,2343 12346 TCF GENSCL # A TIME, NO COMPARISON WITH 14 NEED BE 050682,001775: 00,2344 12346 TCF GENSCL # DONE. FOR SCALARS, SEE IF TERMINAL ROUND 050683,001776: 00,2345 12145 TCF VSSL # DESIRED. FOR VECTORS, SHIFT IMMEDIATELY. 050684,001777: 050685,001778: 00,2346 40116 GENSCL CS ADDRWD # PUT ROUNDING BIT (BIT 10 OF ADDRWD) INTO 050686,001779: 00,2347 00006 EXTEND # BIT 15 OF CYR WHERE THE ROUNDING BIT OF 050687,001780: 00,2350 75012 MP BIT6 # A SHORT SHIFT LEFT WOULD BE 050688,001781: 00,2351 54020 TS CYR 050689,001782: 00,2352 12103 TCF TSSL +2 # DO THE SHIFT. 050690,001783: 050691,001784: # Page 1162 050692,001785: # SCALAR DIVISION INSTRUCTIONS, DDV AND BDDV, ARE EXECUTED HERE. AT THIS POINT, THE DIVIDEND IS IN MPAC 050693,001786: # AND THE DIVISOR IS IN BUF. 050694,001787: 050695,001788: 00,2353 45017 DDV/BDDV CS ONE # INITIALIZATION 050696,001789: 00,2354 54136 TS DVSIGN # +-1 FOR POSITIVE QUOTIENT -- -0 FOR NEG. 050697,001790: 00,2355 54137 TS DVNORMCT # DIVIDENT NORMALIZATION COUNT. 050698,001791: 00,2356 54140 TS MAXDVSW # NEAR-ONE DIVIDE FLAG. 050699,001792: 050700,001793: 00,2357 10130 CCS BUF # FORCE BUF POSITIVE WITH THE MAJOR PART 050701,001794: 00,2360 12516 TCF BUFPOS # NON-ZERO. 050702,001795: 00,2361 12363 TCF +2 050703,001796: 00,2362 12531 TCF BUFNEG 050704,001797: 050705,001798: 00,2363 54156 BUFZERO TS MPAC +2 # ZERO THIS. 050706,001799: 00,2364 07226 TC TPAGREE # FORCE SIGN AGREEMENT BEFORE OVERFLOW 050707,001800: 050708,001801: 00,2365 10154 CCS MPAC # TEST TO SEE IF MPAC NON-ZERO. (TOO BIG) 050709,001802: 00,2366 12414 TCF OVF+ # MAJOR PART OF DIVIDEND IS POSITIVE NON-0 050710,001803: 00,2367 12371 TCF +2 050711,001804: 00,2370 12413 TCF OVF+ -1 # MAJOR PART OF DIVIDEND IS NEG. NON-ZERO 050712,001805: 050713,001806: 00,2371 56131 XCH BUF +1 # SHIFT DIVIDENT AND DIVISOR LEFT 14 050714,001807: 00,2372 56130 XCH BUF 050715,001808: 00,2373 56155 XCH MPAC +1 050716,001809: 00,2374 56154 XCH MPAC 050717,001810: 00,2375 10130 CCS BUF # TRY AGAIN ON FORMER MINOR PART. 050718,001811: 00,2376 12422 TCF BUF+ 050719,001812: 00,2377 12401 TCF +2 # OVERFLOW ON ZERO DIVISOR. 050720,001813: 00,2400 12416 TCF BUF- 050721,001814: 050722,001815: 00,2401 40154 CS MPAC # SIGN OF MPAC DETERMINES SIGN OF RESULT. 050723,001816: 00,2402 00006 SGNDVOVF EXTEND 050724,001817: 00,2403 62405 BZMF +2 050725,001818: 00,2404 24136 INCR DVSIGN # NEGMAX IN MPAC PERHAPS. 050726,001819: 00,2405 34777 DVOVF CAF POSMAX # ON DIVISION OVERFLOW OF ANY SORT, SET 050727,001820: 00,2406 54154 TS MPAC # SET DP MPAC TO +-POSMAX. 050728,001821: 00,2407 02630 TC FINALDV +3 050729,001822: 00,2410 35017 CAF ONE # SET OVEFLOW INDICATOR AND EXIT. 050730,001823: 00,2411 54121 TS OVFIND 050731,001824: 00,2412 06030 TC DANZIG 050732,001825: 050733,001826: 00,2413 24136 -1 INCR DVSIGN 050734,001827: 00,2414 40131 OVF+ CS BUF +1 # LOAD LOWER ORDER PART OF DIVISOR. 050735,001828: 00,2415 12402 TCF SGNDVOVF # GET SIGN OF RESULT. 050736,001829: 050737,001830: 00,2416 00006 BUF- EXTEND # IF BUF IS NEGATIVE, COMPLEMENT IT AND 050738,001831: 00,2417 40131 DCS BUF # MAINTAIN DVSIGN FOR FINAL QUOTIENT SIGN. 050739,001832: 00,2420 52131 DXCH BUF 050740,001833: 00,2421 24136 INCR DVSIGN # NOW -0. 050741,001834: 050742,001835: # Page 1163 050743,001836: 00,2422 10154 BUF+ CCS MPAC # FORCE MPAC POSITIVE, CHECKING FOR ZERO 050744,001837: 00,2423 12437 TCF MPAC+ # DIVIDEND IN THE PROCESS. 050745,001838: 00,2424 12426 TCF +2 050746,001839: 00,2425 12433 TCF MPAC- 050747,001840: 00,2426 10155 CCS MPAC +1 050748,001841: 00,2427 12437 TCF MPAC+ 050749,001842: 00,2430 16030 TCF DANZIG # EXIT IMMEDIATELY ON ZERO DIVIDEND. 050750,001843: 00,2431 12433 TCF MPAC- 050751,001844: 00,2432 16030 TCF DANZIG 050752,001845: 050753,001846: 00,2433 00006 MPAC- EXTEND # FORCE MPAC POSITIVE AS BUF IN BUF-. 050754,001847: 00,2434 40155 DCS MPAC 050755,001848: 00,2435 52155 DXCH MPAC 050756,001849: 00,2436 24136 INCR DVSIGN # NOW +1 OR -0. 050757,001850: 050758,001851: # Page 1164 050759,001852: 00,2437 40154 MPAC+ CS MPAC # CHECK FOR DIVISION OVERFLOW. IF THE 050760,001853: 00,2440 67716 AD NEGONE # MAJOR PART OF THE DIVIDEND IS LESS THAN 050761,001854: 00,2441 60130 AD BUF # THE MAJOR PART OF THE DIVISOR BY AT 050762,001855: 00,2442 10000 CCS A # LEAST TWO, WE CAN PROCEED IMMEDIATELY 050763,001856: 00,2443 12505 TCF DVNORM # WITHOUT NORMALIZATION PRODUCING A DVMAX. 050764,001857: 00,2444 60001 -1/2+2 OCT 60001 # USED IN SQRTSUB. 050765,001858: 050766,001859: 00,2445 12446 TCF +1 # IF THE ABOVE DOES NOT HOLD, FORCE SIGN 050767,001860: 00,2446 35002 CAF HALF # AGREEMENT IN NUMERATOR AND DENOMINATOR 050768,001861: 00,2447 60000 DOUBLE # TO FACILITATE OVERFLOW AND NEAR-ONE 050769,001862: 00,2450 60155 AD MPAC +1 # CHECKING. 050770,001863: 00,2451 54155 TS MPAC +1 050771,001864: 00,2452 35021 CAF ZERO 050772,001865: 00,2453 64777 AD POSMAX 050773,001866: 00,2454 26154 ADS MPAC 050774,001867: 050775,001868: 00,2455 35002 CAF HALF # SAME FOR BUF. 050776,001869: 00,2456 60000 DOUBLE 050777,001870: 00,2457 60131 AD BUF +1 050778,001871: 00,2460 54131 TS BUF +1 050779,001872: 00,2461 35021 CAF ZERO 050780,001873: 00,2462 64777 AD POSMAX 050781,001874: 00,2463 26130 ADS BUF 050782,001875: 050783,001876: 00,2464 40154 CS MPAC # CHECK MAGNITUDE OF SIGN-CORRECTED 050784,001877: 00,2465 60130 AD BUF # OPERANDS. 050785,001878: 00,2466 10000 CCS A 050786,001879: 00,2467 12505 TCF DVNORM # DIVIDE OK -- WILL NOT BECOME MAXOV CASE. 050787,001880: 00,2470 00133 LBUF2 ADRES BUF2 050788,001881: 00,2471 12405 TCF DVOVF # DIVISOR NOT LESS THAN DIVIDEND -- OVF. 050789,001882: 050790,001883: 00,2472 54140 TS MAXDVSW # IF THE MAJOR PARTS OF THE DIVIDEND AND 050791,001884: 00,2473 40155 CS MPAC +1 # DIVISOR ARE EQUAL, A SPECIAL APPROXIMA- 050792,001885: 00,2474 60131 AD BUF +1 # TION IS USED (PROVIDED THE DIVISION IS 050793,001886: 00,2475 00006 EXTEND # POSSIBLE, OF COURSE). 050794,001887: 00,2476 62405 BZMF DVOVF 050795,001888: 00,2477 12505 TCF DVNORM # IF NO OVERFLOW. 050796,001889: 050797,001890: # Page 1165 050798,001891: 00,2500 00006 BUFNORM EXTEND # ADD -1 TO AUGMENT SHIFT COUNT AND SHIFT 050799,001892: 00,2501 24137 AUG DVNORMCT # LEFT ONE PLACE. 050800,001893: 00,2502 00006 EXTEND 050801,001894: 00,2503 30131 DCA BUF 050802,001895: 00,2504 20131 DAS BUF 050803,001896: 050804,001897: 00,2505 30130 DVNORM CA BUF # SEE IF DIVISOR NORMALIZED YET. 050805,001898: 00,2506 60000 DOUBLE 050806,001899: 00,2507 54000 OVSK 050807,001900: 00,2510 12500 TCF BUFNORM # NO -- SHIFT LEFT ONE AND TRY AGAIN. 050808,001901: 050809,001902: 00,2511 52155 DXCH MPAC # CALL DIVIDEND NORMALIZATION SEQUENCE 050810,001903: 00,2512 50137 INDEX DVNORMCT # PRIOR TO DOING THE DIVIDE. 050811,001904: 00,2513 02565 TC MAXTEST 050812,001905: 050813,001906: 00,2514 54156 TS MPAC +2 # RETURNS WITH DIVISION DONE AND C(A) = 0. 050814,001907: 00,2515 16030 TCF DANZIG 050815,001908: 050816,001909: 00,2516 10000 BUFPOS CCS A 050817,001910: 00,2517 12422 TCF BUF+ # TO BUF+ IF BUF IS GREATER THAN +1. 050818,001911: 050819,001912: 00,2520 40131 CS BUF +1 # IF BUF IS +1, FORCING SIGN AGREEMENT 050820,001913: 00,2521 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO. 050821,001914: 00,2522 62422 BZMF BUF+ # BRANCH IF SIGNS AGREE. 050822,001915: 050823,001916: 00,2523 35002 CA HALF # SIGNS DISAGREE. FORCE AGREEMENT. 050824,001917: 00,2524 60000 +6 DOUBLE 050825,001918: 00,2525 26131 ADS BUF +1 050826,001919: 00,2526 35021 CA ZERO 050827,001920: 00,2527 54130 TS BUF 050828,001921: 00,2530 12363 TCF BUFZERO 050829,001922: 050830,001923: 00,2531 10000 BUFNEG CCS A 050831,001924: 00,2532 12416 TCF BUF- # TO BUF- IF BUF IS LESS THAN -1. 050832,001925: 050833,001926: 00,2533 30131 CA BUF +1 # IF BUF IS -1, FORCING SIGN AGREEMENT 050834,001927: 00,2534 00006 EXTEND # MAY CAUSE BUF TO BECOME ZERO. 050835,001928: 00,2535 62416 BZMF BUF- # BRANCH IF SIGNS AGREE. 050836,001929: 050837,001930: 00,2536 45002 CS HALF # SIGNS DISAGREE. FORCE AGREEMENT. 050838,001931: 00,2537 12524 TCF BUFPOS +6 050839,001932: 050840,001933: # Page 1166 050841,001934: # THE FOLLOWING ARE PROLOGUES TO SHIFT THE DIVIDEND ARRIVING IN A AND L BEFORE THE DIVIDE. 050842,001935: 050843,001936: 00,2540 22021 -21D LXCH SR # SPECIAL PROLOGUE FOR UNIT WHEN THE 050844,001937: 00,2541 00006 EXTEND # LENGTH OF THE ARGUMENT WAS NOT LESS THAN 050845,001938: 00,2542 75002 MP HALF # .5. IN THIS CASE, EACH COMPONENT MUST BE 050846,001939: 00,2543 56001 XCH L # SHIFTED RIGHT ONE TO PRODUCE A HALF-UNIT 050847,001940: 00,2544 60021 AD SR # VECTOR. 050848,001941: 00,2545 56001 XCH L 050849,001942: 00,2546 12571 TCF GENDDV +1 # WITH DP DIVIDEND IN A,L. 050850,001943: 050851,001944: 00,2547 20001 DDOUBL # PROLOGUE WHICH NORMALIZES THE DIVIDEND 050852,001945: 00,2550 20001 DDOUBL # WHEN IT IS KNOWN THAT NO DIVISION 050853,001946: 00,2551 20001 DDOUBL # OVEFLOW WILL OCCUR. 050854,001947: 00,2552 20001 DDOUBL 050855,001948: 00,2553 20001 DDOUBL 050856,001949: 00,2554 20001 DDOUBL 050857,001950: 00,2555 20001 DDOUBL 050858,001951: 00,2556 20001 DDOUBL 050859,001952: 00,2557 20001 DDOUBL 050860,001953: 00,2560 20001 DDOUBL 050861,001954: 00,2561 20001 DDOUBL 050862,001955: 00,2562 20001 DDOUBL 050863,001956: 00,2563 20001 DDOUBL 050864,001957: 00,2564 52155 DXCH MPAC 050865,001958: 050866,001959: 00,2565 10140 MAXTEST CCS MAXDVSW # 0 IF MAJORS MIGHT BE =, -1 OTHERWISE. 050867,001960: 00,2566 06552 BIASHI DEC .4192 B-1 # SQRT CONSTANTS. 050868,001961: 050869,001962: 00,2567 12642 TCF MAXDV # CHECK TO SEE IF THAY ARE NOW EQUAL. 050870,001963: 050871,001964: # Page 1167 050872,001965: # THE FOLLOWING IS A GENERAL PURPOSE DOUBLE PRECISION DIVISION ROUTINE. IT DIVIDES MPAC BY BUF AND LEAVES 050873,001966: # THE RESULT IN MPAC. THE FOLLOWING CONDITIONS MUST BE SATISFIED: 050874,001967: 050875,001968: # 1. THE DIVISOR (BUF) MUST BE POSITIVE AND NOT LESS THAN .5. 050876,001969: 050877,001970: # 2. THE DIVIDEND (MPAC) MUST BE POSITIVE WITH THE MAJOR PART OF MPAC STRICTLY LESS THAN THAT OF BUF 050878,001971: # (A SPECIAL APPROXIMATION, MAXDV, IS USED WHEN THE MAJOR PARTS ARE EQUAL). 050879,001972: 050880,001973: # UNDERSTANDING THAT A/B = Q + S(R/B) WHERE S = 2(-14) AND Q AND R ARE QUOTIENT AND REMAINDER, RESPEC- 050881,001974: # TIVELY, THE FOLLOWING APPROXIMATION IS OBTAINED BY MULTIPLYING ABOVE AND BELOW BY C - SD AND NEGLECTING TERMS OF 050882,001975: # ORDER S-SQUARED (POSSIBLY INTRODUCING ERROR INTO THE LOW TWO BITS OF THE RESULT). SIGN AGREEMENT IS UNNECESSARY. 050883,001976: 050884,001977: # A + SB . (R - CD) A + SB 050885,001978: # ------ = Q + S(------) WHERE Q AND R ARE QUOTIENT AND REMAINDER OF ------ RESPECTIVELY. 050886,001979: # C + SD ( C } C 050887,001980: 050888,001981: 00,2570 52155 GENDDV DXCH MPAC # WE NEED A AND B ONLY FOR FIRST DV. 050889,001982: 00,2571 00006 +1 EXTEND # (SPECIAL UNIT PROLOGUE ENTERS HERE). 050890,001983: 00,2572 10130 DV BUF # A NOW CONTAINS Q AND L, R. 050891,001984: 00,2573 52155 DXCH MPAC 050892,001985: 050893,001986: 00,2574 40154 CS MPAC # FORM DIVIDEND FOR MINOR PART OF RESULT. 050894,001987: 00,2575 00006 EXTEND 050895,001988: 00,2576 70131 MP BUF +1 050896,001989: 00,2577 60155 AD MPAC +1 # OVERFLOW AT THIS POINT IS POSITIVE SINCE 050897,001990: 00,2600 54000 OVSK # R IS POSITIVE IN EVERY CASE. 050898,001991: 00,2601 12606 TCF +5 050899,001992: 050900,001993: 00,2602 00006 EXTEND # OVERFLOW CAN BE REMOVED BY SUBTRACTING C 050901,001994: 00,2603 60130 SU BUF # (BUF) ONCE SINCE R IS ALWAYS LESS THAN C 050902,001995: 00,2604 24154 INCR MPAC # IN THIS CASE. INCR COMPENSATES SUBTRACT. 050903,001996: 00,2605 12610 TCF +DOWN # (SINCE C(A) IS STILL POSITIVE). 050904,001997: 050905,001998: 00,2606 00006 +5 EXTEND # C(A) CAN BE MADE LESS THAN C IN MAGNI- 050906,001999: 00,2607 62620 BZMF -UP # TUDE BY DIMINISHING IT BY C (SINCE C IS 050907,002000: # NOT LESS THAN .5) UNLESS C(A) = 0. 050908,002001: 050909,002002: # Page 1168 050910,002003: 00,2610 00006 +DOWN EXTEND 050911,002004: 00,2611 60130 SU BUF # IF POSITIVE, REDUCE ONLY IF NECESSARY 050912,002005: 00,2612 00006 EXTEND # SINCE THE COMPENSATING INCR MIGHT CAUSE 050913,002006: 00,2613 12616 BZF +3 # OVERFLOW. 050914,002007: 00,2614 00006 EXTEND # DON'T SUBTRACT UNLESS RESULT IS POSITIVE 050915,002008: 00,2615 62624 BZMF ENDMAXDV # OR ZERO. 050916,002009: 050917,002010: 00,2616 24154 +3 INCR MPAC # KEEP SUBTRACT HERE AND COMPENSATE. 050918,002011: 00,2617 12625 TCF FINALDV 050919,002012: 050920,002013: 00,2620 00006 -UP EXTEND # IF ZERO, SET MINOR PART OF RESULT TO 050921,002014: 00,2621 12630 BZF FINALDV +3 # ZERO. 050922,002015: 050923,002016: 00,2622 00006 EXTEND # IF NEGATIVE, ADD C TO A, SUBTRACTING ONE 050924,002017: 00,2623 26154 DIM MPAC # TO COMPENSATE. DIM IS OK HERE SINCE THE 050925,002018: 00,2624 60130 ENDMAXDV AD BUF # MAJOR PART NEVER GOES NEGATIVE. 050926,002019: 050927,002020: # Page 1169 050928,002021: 00,2625 22007 FINALDV ZL # DO DV TO OBTAIN MINOR PART OF RESULT. 050929,002022: 00,2626 00006 EXTEND 050930,002023: 00,2627 10130 DV BUF 050931,002024: 00,2630 54155 +3 TS MPAC +1 050932,002025: 050933,002026: 00,2631 10136 CCS DVSIGN # LEAVE RESULT POSITIVE UNLESS C(DVSIGN). 050934,002027: 00,2632 00002 TC Q 050935,002028: 00,2633 00002 TC Q 050936,002029: 00,2634 00002 TC Q 050937,002030: 050938,002031: 00,2635 00006 EXTEND 050939,002032: 00,2636 40155 DCS MPAC 050940,002033: 00,2637 52155 DXCH MPAC 050941,002034: 00,2640 35021 CAF ZERO # SO WE ALWAYS RETURN WITH C(A) = 0. 050942,002035: 00,2641 00002 TC Q 050943,002036: 050944,002037: # Page 1170 050945,002038: # IF THE MAJOR PARTS OF THE DIVISOR AND DIVIDEND ARE EQUAL, BUT THE MINOR PARTS ARE SUCH THAT THE 050946,002039: # DIVIDEND IS STRICTLY LESS THAN THE DIVISOR IN MAGNITUDE, THE FOLLOWING APPROXIMATION IS USED. THE ASSUMPTIONS 050947,002040: # ARE THE SAME AS THE GENERAL ROUTINE WITH THE ADDITION THAT SIGN AGREEMENT IS NECESSARY (B, C, & D POSITIVE). 050948,002041: 050949,002042: # C + SB . (C + B - D) 050950,002043: # ------ = 37777 + S(---------) 050951,002044: # C + SD ( C ) 050952,002045: 050953,002046: # THE DIVISION MAY BE PERFORMED IMMEDIATELY SINCE B IS STRICTLY LESS THAN D AND C IS NOT LESS THAN .5. 050954,002047: 050955,002048: 00,2642 40154 MAXDV CS MPAC # SEE IF MAXDV CASE STILL HOLDS AFTER 050956,002049: 00,2643 60130 AD BUF # NORMALIZATION. 050957,002050: 00,2644 00006 EXTEND 050958,002051: 00,2645 12647 BZF +2 050959,002052: 00,2646 12570 TCF GENDDV # MPAC NOW LESS THAN BUFF -- DIVIDE AS USUAL. 050960,002053: 050961,002054: 00,2647 34777 +2 CAF POSMAX # SET MAJOR PART OF RESULT. 050962,002055: 00,2650 54154 TS MPAC 050963,002056: 050964,002057: 00,2651 40131 CS BUF +1 # FORM DIVIDEND OF MINOR PART OF RESULT. 050965,002058: 00,2652 60155 AD MPAC +1 050966,002059: 00,2653 12624 TCF ENDMAXDV # GO ADD C AND DO DIVIDE, ATTACHING SIGN 050967,002060: # BEFORE EXITING. 050968,002061: 050969,002062: # Page 1171 050970,002063: # VECTOR DIVIDED BY SCALAR, V/SC, IS EXECUTED HERE. THE VECTOR IS NOW IN MPAC WITH SCALAR IN BUF. 050971,002064: 050972,002065: 00,2654 45017 V/SC2 CS ONE # INITIALIZE DIVIDEND NORMALIZATION COUNT 050973,002066: 00,2655 54137 TS DVNORMCT # AND DIVISION SIGN REGISTER. 050974,002067: 00,2656 54127 TS VBUF +5 050975,002068: 050976,002069: 00,2657 03010 TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR 050977,002070: 050978,002071: 00,2660 52131 DXCH BUF 050979,002072: 00,2661 07513 TC ALSIGNAG # SIGN AGREE BUF 050980,002073: 00,2662 52131 DXCH BUF 050981,002074: 00,2663 10130 CCS BUF # FORCE DIVISOR POSITIVE WITH MAJOR PART 050982,002075: 00,2664 12721 TCF /BUF+ # NON-ZERO (IF POSSIBLE). 050983,002076: 00,2665 12667 TCF +2 050984,002077: 00,2666 12715 TCF /BUF- 050985,002078: 050986,002079: 00,2667 56131 XCH BUF +1 # SHIFT VECTOR AND SCALAR LEFT 14. 050987,002080: 00,2670 56130 XCH BUF 050988,002081: 00,2671 56155 XCH MPAC +1 050989,002082: 00,2672 56154 XCH MPAC 050990,002083: 00,2673 00006 EXTEND # CHECK FOR OVERFLOW IN EACH CASE. 050991,002084: 00,2674 12676 BZF +2 050992,002085: 00,2675 12405 TCF DVOVF 050993,002086: 050994,002087: 00,2676 56160 XCH MPAC +4 050995,002088: 00,2677 56157 XCH MPAC +3 050996,002089: 00,2700 00006 EXTEND 050997,002090: 00,2701 12703 BZF +2 050998,002091: 00,2702 12405 TCF DVOVF 050999,002092: 051000,002093: 00,2703 56162 XCH MPAC +6 051001,002094: 00,2704 56161 XCH MPAC +5 051002,002095: 00,2705 00006 EXTEND 051003,002096: 00,2706 12710 BZF +2 051004,002097: 00,2707 12405 TCF DVOVF 051005,002098: 051006,002099: 00,2710 10130 CCS BUF 051007,002100: 00,2711 12721 TCF /BUF+ 051008,002101: 00,2712 12405 TCF DVOVF # ZERO DIVISOR - OVERFLOW. 051009,002102: 00,2713 12715 TCF /BUF- 051010,002103: 00,2714 12405 TCF DVOVF 051011,002104: 051012,002105: 00,2715 00006 /BUF- EXTEND # ON NEGATIVE, COMPLEMENT BUF AND MAINTAIN 051013,002106: 00,2716 40131 DCS BUF # DVSIGN IN VBUF +5. 051014,002107: 00,2717 52131 DXCH BUF 051015,002108: 00,2720 24127 INCR VBUF +5 051016,002109: 051017,002110: # Page 1172 051018,002111: 00,2721 00006 /BUF+ EXTEND 051019,002112: 00,2722 30131 DCA BUF # LEAVE ABS(ORIG DIVISOR) IN BUF2 051020,002113: 00,2723 52134 DXCH BUF2 # FOR OVERFLOW TESTING 051021,002114: 00,2724 12732 TCF /NORM # NORMALIZE DIVISOR IN BUF. 051022,002115: 051023,002116: 00,2725 00006 /NORM2 EXTEND # IF LESS THAN .5, AUGMENT DVNORMCT AND 051024,002117: 00,2726 24137 AUG DVNORMCT # DOUBLE DIVISOR. 051025,002118: 00,2727 00006 EXTEND 051026,002119: 00,2730 30131 DCA BUF 051027,002120: 00,2731 20131 DAS BUF 051028,002121: 051029,002122: 00,2732 30130 /NORM CA BUF # SEE IF DIVISOR NORMALIZED. 051030,002123: 00,2733 60000 DOUBLE 051031,002124: 00,2734 54000 OVSK 051032,002125: 00,2735 12725 TCF /NORM2 # DOUBLE AND TRY AGAIN IF NOT. 051033,002126: 051034,002127: 00,2736 02750 TC V/SCDV # DO X COMPONENT DIVIDE. 051035,002128: 00,2737 52160 DXCH MPAC +3 # SUPPLY ARGUMENTS IN USUAL SEQUENCE. 051036,002129: 00,2740 52155 DXCH MPAC 051037,002130: 00,2741 52160 DXCH MPAC +3 051038,002131: 051039,002132: 00,2742 02750 TC V/SCDV # Y COMPONENT. 051040,002133: 00,2743 52162 DXCH MPAC +5 051041,002134: 00,2744 52155 DXCH MPAC 051042,002135: 00,2745 52162 DXCH MPAC +5 051043,002136: 051044,002137: 00,2746 02750 TC V/SCDV # Z COMPONENT. 051045,002138: 00,2747 17367 TCF VROTATEX # GO RE-ARRANGE COMPONENTS BEFORE EXIT. 051046,002139: 051047,002140: # Page 1173 051048,002141: # SUBROUTINE USED BY V/SC TO DIVIDE VECTOR COMPONENT IN MPAC,+1 BY THE SCALAR GIVEN IN BUF. 051049,002142: 051050,002143: 00,2750 30127 V/SCDV CA VBUF +5 # REFLECTS SIGN OF SCALAR. 051051,002144: 00,2751 54136 TS DVSIGN 051052,002145: 051053,002146: 00,2752 10154 CCS MPAC # FORCE MPAC POSITIVE, EXITING ON ZERO. 051054,002147: 00,2753 12767 TCF /MPAC+ 051055,002148: 00,2754 12756 TCF +2 051056,002149: 00,2755 12763 TCF /MPAC- 051057,002150: 051058,002151: 00,2756 10155 CCS MPAC +1 051059,002152: 00,2757 12767 TCF /MPAC+ 051060,002153: 00,2760 00002 TC Q 051061,002154: 00,2761 12763 TCF /MPAC- 051062,002155: 00,2762 00002 TC Q 051063,002156: 051064,002157: 00,2763 00006 /MPAC- EXTEND # USUAL COMPLEMENTING AND SETTING OF SIGN. 051065,002158: 00,2764 40155 DCS MPAC 051066,002159: 00,2765 52155 DXCH MPAC 051067,002160: 00,2766 24136 INCR DVSIGN 051068,002161: 051069,002162: 00,2767 45017 /MPAC+ CS ONE # INITIALIZE NEAR-ONE SWITCH. 051070,002163: 00,2770 54140 TS MAXDVSW 051071,002164: 051072,002165: 00,2771 40154 CS MPAC # CHECK POSSIBLE OVERFLOW. 051073,002166: 00,2772 60133 AD BUF2 # UNNORMALIZED INPUT DIVISOR. 051074,002167: 00,2773 10000 CCS A 051075,002168: 00,2774 13004 TCF DDVCALL # NOT NEAR-ONE 051076,002169: 00,2775 12777 TCF +2 # +0 IS JUST POSSIBLE 051077,002170: 00,2776 12405 TCF DVOVF # NO HOPE 051078,002171: 00,2777 54140 TS MAXDVSW # SIGNAL POSSIBLE NEAR-ONE CASE 051079,002172: 00,3000 40155 CS MPAC +1 # SEE IF DIVISION CAN BE DONE 051080,002173: 00,3001 60134 AD BUF2 +1 051081,002174: 00,3002 00006 EXTEND 051082,002175: 00,3003 62405 BZMF DVOVF 051083,002176: 051084,002177: 00,3004 52155 DDVCALL DXCH MPAC # CALL PRE-DIVIDE NORMALIZATION. 051085,002178: 00,3005 50137 INDEX DVNORMCT 051086,002179: 00,3006 12565 TCF MAXTEST 051087,002180: 051088,002181: # Page 1174 051089,002182: 00,3007 32506 SLOPELO DEC .8324 051090,002183: 051091,002184: 00,3010 56002 VECAGREE XCH Q # SAVE Q IN A 051092,002185: 00,3011 52155 DXCH MPAC 051093,002186: 00,3012 07513 TC ALSIGNAG # SIGNAGREE MPAC 051094,002187: 00,3013 52155 DXCH MPAC 051095,002188: 00,3014 52160 DXCH MPAC +3 051096,002189: 00,3015 07513 TC ALSIGNAG # SIGN AGREE MPAC +3 051097,002190: 00,3016 52160 DXCH MPAC +3 051098,002191: 00,3017 52162 DXCH MPAC +5 051099,002192: 00,3020 07513 TC ALSIGNAG # SIGNAGREE MPAC +5 051100,002193: 00,3021 52162 DXCH MPAC +5 051101,002194: 00,3022 00000 TC A 051102,002195: 051103,002196: # Page 1175 051104,002197: # THE FOLLOWING ROUTINE EXECUTES THE UNIT INSTRUCTION, WHICH TAKES THE UNIT OF THE VECTOR IN MPAC. 051105,002198: 051106,002199: 00,3023 03010 UNIT TC VECAGREE # FORCE SIGN AGREEMENT IN VECTOR 051107,002200: 00,3024 07501 TC MPACVBUF # SAVE ARGUMENT IN VBUF 051108,002201: 00,3025 35021 CAF ZERO # MUST SENSE OVERFLOW IN FOLLOWING DOT. 051109,002202: 00,3026 56121 XCH OVFIND 051110,002203: 00,3027 54141 TS TEM1 051111,002204: 00,3030 03317 TC VSQSUB # DOT MPAC WITH ITSELF. 051112,002205: 00,3031 30141 CA TEM1 051113,002206: 00,3032 56121 XCH OVFIND 051114,002207: 00,3033 00006 EXTEND 051115,002208: 00,3034 13036 BZF +2 051116,002209: 00,3035 12405 TCF DVOVF 051117,002210: 00,3036 00006 EXTEND 051118,002211: 00,3037 30155 DCA MPAC # LEAVE THE SQUARE OF THE LENGTH OF THE 051119,002212: 00,3040 50120 INDEX FIXLOC # ARGUMENT IN LVSQUARE. 051120,002213: 00,3041 52043 DXCH LVSQUARE 051121,002214: 051122,002215: 00,3042 03343 TC SQRTSUB # GO TAKE THE NORMALIZED SQUARE ROOT. 051123,002216: 051124,002217: 00,3043 10154 CCS MPAC # CHECK FOR UNIT OVERFLOW. 051125,002218: 00,3044 13051 TCF +5 # MPAC IS NOT LESS THAN .5 UNLESS 051126,002219: 00,3045 54001 TS L 051127,002220: 00,3046 50120 INDEX FIXLOC 051128,002221: 00,3047 52045 DXCH LV 051129,002222: 00,3050 12405 TCF DVOVF # INPUT TO SQRTSUB WAS 0. 051130,002223: 051131,002224: 00,3051 44333 CS FOURTEEN # SEE IF THE INPUT WAS SO SMALL THAT THE 051132,002225: 00,3052 60135 AD MPTEMP # FIRST TWO REGISTERS OF THE SQUARE WERE 0 051133,002226: 00,3053 10000 CCS A 051134,002227: 00,3054 40000 COM # IF SO, SAVE THE NEGATIVE OF THE SHIFT 051135,002228: 00,3055 13133 TCF SMALL # COUNT -15D. 051136,002229: 051137,002230: 00,3056 13065 TCF LARGE # (THIS IS USUALLY THE CASE.) 051138,002231: 051139,002232: 00,3057 45025 CS THIRTEEN # IF THE SHIFT COUNT WAS EXACTLY 14, SET 051140,002233: 00,3060 54135 TS MPTEMP # THE PRE-DIVIDE NORM COUNT TO -13D. 051141,002234: 051142,002235: 00,3061 30154 CA MPAC # SHIFT THE LENGTH RIGHT 14 BEFORE STORING 051143,002236: 00,3062 54001 SMALL2 TS L # (SMALL EXITS TO THIS POINT). 051144,002237: 00,3063 35021 CAF ZERO 051145,002238: 00,3064 13112 TCF LARGE2 # GO TO STORE LENGTH AND PROCEED. 051146,002239: 051147,002240: 00,3065 10135 LARGE CCS MPTEMP # MOST ALL CASES COME HERE. 051148,002241: 00,3066 13074 TCF LARGE3 # SEE IF NO NORMALIZATION WAS REQUIRED BY 051149,002242: 00,3067 42024 CS SRDDV # SQRT, AND IF SO, SET UP FOR A SHIFT 051150,002243: 00,3070 54135 TS MPTEMP # RIGHT 1 BEFORE DIVIDING TO PRODUCE 051151,002244: 00,3071 00006 EXTEND # THE DESIRED HALF UNIT VECTOR. 051152,002245: 00,3072 30155 DCA MPAC 051153,002246: # Page 1176 051154,002247: 00,3073 13112 TCF LARGE2 051155,002248: 051156,002249: # Page 1177 051157,002250: 00,3074 40000 LARGE3 COM # LEAVE NEGATIVE OF SHIFT COUNT-1 FOR 051158,002251: 00,3075 54135 TS MPTEMP # PREDIVIDE LEFT SHIFT. 051159,002252: 051160,002253: 00,3076 40000 COM # PICK UP REQUIRED SHIFTING BIT TO UNNORM- 051161,002254: 00,3077 50000 INDEX A # ALIZE THE SQRT RESULT. 051162,002255: 00,3100 35002 CAF BIT14 051163,002256: 00,3101 54130 TS BUF 051164,002257: 00,3102 00006 EXTEND 051165,002258: 00,3103 70155 MP MPAC +1 051166,002259: 00,3104 56130 XCH BUF 051167,002260: 00,3105 00006 EXTEND # (UNNORMALIZE THE SQRT FOR LV). 051168,002261: 00,3106 70154 MP MPAC 051169,002262: 00,3107 56001 XCH L 051170,002263: 00,3110 60130 AD BUF 051171,002264: 00,3111 56001 XCH L 051172,002265: 051173,002266: 00,3112 50120 LARGE2 INDEX FIXLOC 051174,002267: 00,3113 52045 DXCH LV # LENGTH NOW STORED IN WORK AREA. 051175,002268: 051176,002269: 00,3114 45017 CS ONE 051177,002270: 00,3115 54140 TS MAXDVSW # NO MAXDV CASES IN UNIT. 051178,002271: 051179,002272: 00,3116 52123 DXCH VBUF # PREPARE X COMPONENT FOR DIVIDE, SETTING 051180,002273: 00,3117 52155 DXCH MPAC # LENGTH OF VECTOR AS DIVISOR IN BUF. 051181,002274: 00,3120 52131 DXCH BUF 051182,002275: 00,3121 03151 TC UNITDV 051183,002276: 051184,002277: 00,3122 52125 DXCH VBUF +2 # DO Y AND Z IN USUAL FASHION SO WE CAN 051185,002278: 00,3123 52155 DXCH MPAC # EXIT THROUGH VROTATEX. 051186,002279: 00,3124 52160 DXCH MPAC +3 051187,002280: 00,3125 03151 TC UNITDV 051188,002281: 051189,002282: 00,3126 52127 DXCH VBUF +4 051190,002283: 00,3127 52155 DXCH MPAC 051191,002284: 00,3130 52162 DXCH MPAC +5 051192,002285: 00,3131 03151 TC UNITDV 051193,002286: 00,3132 17367 TCF VROTATEX # AND EXIT. 051194,002287: 051195,002288: # Page 1178 051196,002289: # IF THE LENGTH OF THE ARGUMENT VECTOR WAS LESS THAN 2(-28), EACH COMPONENT MUST BE SHIFTED LEFT AT LEAST 051197,002290: # 14 PLACES BEFORE TEH DIVIDE, NOTE THAT IN THIS CASE, THE MAJOR PART OF EACH COMPONENT IS ZERO. 051198,002291: 051199,002292: 00,3133 54135 SMALL TS MPTEMP # NEGATIVE OF PRE-DIVIDE SHIFT COUNT. 051200,002293: 051201,002294: 00,3134 35021 CAF ZERO # SHIFT EACH COMPONENT LEFT 14. 051202,002295: 00,3135 56123 XCH VBUF +1 051203,002296: 00,3136 56122 XCH VBUF 051204,002297: 00,3137 56125 XCH VBUF +3 051205,002298: 00,3140 56124 XCH VBUF +2 051206,002299: 00,3141 56127 XCH VBUF +5 051207,002300: 00,3142 56126 XCH VBUF +4 051208,002301: 051209,002302: 00,3143 40135 CS MPTEMP 051210,002303: 00,3144 50000 INDEX A 051211,002304: 00,3145 35002 CAF BIT14 051212,002305: 00,3146 00006 EXTEND 051213,002306: 00,3147 70154 MP MPAC 051214,002307: 00,3150 13062 TCF SMALL2 051215,002308: 051216,002309: 00,3151 5025 THIRTEEN = OCT15 051217,002310: 00,3151 4333 FOURTEEN = OCT16 051218,002311: 00,3151 4333 OCT16 = R1D1 051219,002312: 051220,002313: # Page 1179 051221,002314: # THE FOLLOWING ROUTINE SETS UP THE CALL TO THE DIVIDE ROUTINES. 051222,002315: 051223,002316: 00,3151 10154 UNITDV CCS MPAC # FORCE MPAC POSITIVE IF POSSIBLE, SETTING 051224,002317: 00,3152 13170 TCF UMPAC+ # DVSIGN ACCORDING TO THE SIGN OF MPAC 051225,002318: 00,3153 13155 TCF +2 # SINCE THE DIVISOR IS ALWAYS POSITIVE 051226,002319: 00,3154 13162 TCF UMPAC- # HERE. 051227,002320: 051228,002321: 00,3155 10155 CCS MPAC +1 051229,002322: 00,3156 13170 TCF UMPAC+ 051230,002323: 00,3157 00002 TC Q # EXIT IMMEDIATELY ON ZERO. 051231,002324: 00,3160 13162 TCF UMPAC- 051232,002325: 00,3161 00002 TC Q 051233,002326: 051234,002327: 00,3162 45021 UMPAC- CS ZERO # IF NEGATIVE, SET -0 IN DVSIGN FOR FINAL 051235,002328: 00,3163 54136 TS DVSIGN # COMPLEMENT. 051236,002329: 00,3164 00006 EXTEND 051237,002330: 00,3165 40155 DCS MPAC # PICK UP ABSOLUTE VALUE OF ARG AND JUMP. 051238,002331: 00,3166 50135 INDEX MPTEMP 051239,002332: 00,3167 12564 TCF MAXTEST -1 051240,002333: 051241,002334: 00,3170 54136 UMPAC+ TS DVSIGN # SET DVSIGN FOR POSITIVE QUOTIENT. 051242,002335: 00,3171 52155 DXCH MPAC 051243,002336: 00,3172 50135 INDEX MPTEMP 051244,002337: 00,3173 12564 TCF MAXTEST -1 051245,002338: 051246,002339: # Page 1180 051247,002340: # MISCELLANEOUS UNARY OPERATIONS. 051248,002341: 051249,002342: 00,3174 03300 DSQ TC DSQSUB # SQUARE THE DP CONTENTS OF MPAC. 051250,002343: 00,3175 16030 TCF DANZIG 051251,002344: 051252,002345: 00,3176 10163 ABVALABS CCS MODE # ABVAL OR ABS INSTRUCTION. 051253,002346: 00,3177 13226 TCF ABS # DO ABS ON SCALAR. 051254,002347: 00,3200 13226 TCF ABS 051255,002348: 051256,002349: 00,3201 03317 ABVAL TC VSQSUB # DOT MPAC WITH ITSELF. 051257,002350: 00,3202 22163 LXCH MODE # MODE IS NOW DP (L ZERO AFTER DAS). 051258,002351: 051259,002352: 00,3203 00006 EXTEND # STORE SQUARE OF LENGTH IN WORK AREA. 051260,002353: 00,3204 30155 DCA MPAC 051261,002354: 00,3205 50120 INDEX FIXLOC 051262,002355: 00,3206 52043 DXCH LVSQUARE 051263,002356: 051264,002357: # Page 1181 051265,002358: # PROGRAM DESCRIPTION -- SUBROUTINE SQRT 051266,002359: 051267,002360: # FUNCTIONAL DESCRIPTION -- DOUBLE PRECISION SQUARE ROOT ROUTINE 051268,002361: # THIS PROGRAM TAKES THE SQUARE ROOT OF THE 27 OR 28 MOST SIGNIFICANT BITS IN THE TRIPLE PRECISION SET OF 051269,002362: # NUMBERS -- MPAC, MPAC+1, AND MPAC+2. THE ROOT IS RETURNED DOUBLE PRECISION IN MPAC AND MPAC+1. 051270,002363: 051271,002364: # WARNING -- THIS SUBROUTINE USES A TRIPLE PRECISION INPUT. THE PROGRAMMER MUST ASSURE THE CONTENTS OF MPAC+2 051272,002365: # ESPECIALLY IF THE CONTENTS OF MPAC IS SMALL OR ZERO. FOR DETAILS SEE STG MEMO NO.949. 051273,002366: 051274,002367: # CALLING SEQUENCE -- IN INTERPRETIVE MODE, I.E., FOLLOWING `TC INTPRET', `SQRT', NO ADDRESS IS ALLOWED. 051275,002368: # INPUT SCALING: THE BINARY POINT IS ASSUMED TO THE RIGHT OF BIT 15. THE ANSWER IS RETURNED WITH THE SAME SCALING. 051276,002369: 051277,002370: # SUBROUTINES -- GENSCR, MPACSHR, SQRTSUB, ABORT 051278,002371: 051279,002372: # ABORT EXIT MODE -- ABORTS ON NEGATIVE INPUT -1.2X10E-4 (77775 OCTAL) OR LESS. 051280,002373: # DISPLAYS ERROR CODE 1302 051281,002374: # TC ABORT 051282,002375: # OCT 1302 051283,002376: 051284,002377: # DEBRIS -- LOCATIONS BUF, MPTEMP, ADDRWD ARE USED 051285,002378: 051286,002379: 00,3207 03343 SQRT TC SQRTSUB # TAKE THE SQUARE ROOT OF MPAC. 051287,002380: 00,3210 10135 CCS MPTEMP # RETURNED NORMALIZED SQUARE ROOT. SEE IF 051288,002381: 00,3211 13213 TCF +2 # ANY UN-NORMALIZATION REQUIRED AND EXIT 051289,002382: 00,3212 16030 TCF DANZIG # IF NOT. 051290,002383: 051291,002384: 00,3213 63730 AD NEG12 # A RIGHT SHIFT OF MORE THAN 13 COULD BE 051292,002385: 00,3214 00006 EXTEND # REQUIRED IF INPUT WAS ZERO IN MPAC,+1. 051293,002386: 00,3215 63221 BZMF SQRTSHFT # GOES HERE IN MOST CASES. 051294,002387: 00,3216 22007 ZL # IF A LONG SHIFT IS REQUIRED, GO TO 051295,002388: 00,3217 22116 LXCH ADDRWD # GENERAL RIGHT SHIFT ROUTINES. 051296,002389: 00,3220 12303 TCF GENSCR +4 # ADDRWD WAS ZERO TO PREVENT ROUND. 051297,002390: 051298,002391: 00,3221 50135 SQRTSHFT INDEX MPTEMP # SELECT SHIFTING BIT AND EXIT THROUGH 051299,002392: 00,3222 35001 CAF BIT15 # SHIFT ROUTINES. 051300,002393: 00,3223 54135 TS MPTEMP 051301,002394: 00,3224 35021 CAF ZERO # TO ZERO MPAC +2 IN THE PROCESS. 051302,002395: 00,3225 12036 TCF MPACSHR +3 051303,002396: 051304,002397: 00,3226 06672 ABS TC BRANCH # TEST SIGN OF MPAC AND COMPLEMENT IF 051305,002398: 00,3227 16030 TCF DANZIG 051306,002399: 00,3230 16030 TCF DANZIG 051307,002400: 00,3231 17637 TCF COMP 051308,002401: 051309,002402: # Page 1182 051310,002403: 00,3232 45015 VDEF CS FOUR # VECTOR DEFINE -- ESSENTIALLY TREATS 051311,002404: 00,3233 26166 ADS PUSHLOC # SCALAR IN MPAC AS X COMPONENT, PUSHES UP 051312,002405: 00,3234 00006 EXTEND # FOR Y AND THEN AGAIN FOR Z. 051313,002406: 00,3235 50000 INDEX A 051314,002407: 00,3236 30003 DCA 2 051315,002408: 00,3237 52160 DXCH MPAC +3 051316,002409: 00,3240 00006 EXTEND 051317,002410: 00,3241 50166 INDEX PUSHLOC 051318,002411: 00,3242 30001 DCA 0 051319,002412: 00,3243 52162 DXCH MPAC +5 051320,002413: 00,3244 16470 TCF VMODE # MODE IS NON VECTOR. 051321,002414: 051322,002415: 00,3245 03317 VSQ TC VSQSUB # DOT MPAC WITH ITSELF. 051323,002416: 00,3246 17301 TCF DMODE # MODE IS NOW DP. 051324,002417: 051325,002418: 00,3247 00006 PUSH EXTEND # PUSH DOWN MPAC LEAVING IT LOADED. 051326,002419: 00,3250 30155 DCA MPAC 051327,002420: 00,3251 50166 INDEX PUSHLOC # PUSH DOWN FIRST TWO REGISTERS IN EACH 051328,002421: 00,3252 52001 DXCH 0 051329,002422: 051330,002423: 00,3253 50163 INDEX MODE # INCREMENT PUSHDOWN POINTER. 051331,002424: 00,3254 36213 CAF NO.WDS 051332,002425: 00,3255 26166 ADS PUSHLOC 051333,002426: 051334,002427: 00,3256 10163 CCS MODE 051335,002428: 00,3257 13272 TCF TPUSH # PUSH DOWN MPAC +2. 051336,002429: 00,3260 16030 TCF DANZIG # DONE FOR DP. 051337,002430: 051338,002431: 00,3261 00006 EXTEND # ON VECTOR, PUSH DOWN Y AND Z COMPONENTS. 051339,002432: 00,3262 30160 DCA MPAC +3 051340,002433: 00,3263 50166 INDEX PUSHLOC 051341,002434: 00,3264 51775 DXCH 0 -4 051342,002435: 00,3265 00006 EXTEND 051343,002436: 00,3266 30162 DCA MPAC +5 051344,002437: 00,3267 50166 INDEX PUSHLOC 051345,002438: 00,3270 51777 DXCH 0 -2 051346,002439: 00,3271 16030 TCF DANZIG 051347,002440: 051348,002441: 00,3272 30156 TPUSH CA MPAC +2 051349,002442: 00,3273 16523 TCF ENDTPUSH +2 051350,002443: 051351,002444: 00,3274 50120 RVQ INDEX FIXLOC # RVQ -- RETURN IVA QPRET. 051352,002445: 00,3275 30052 CA QPRET 051353,002446: 00,3276 54117 TS POLISH 051354,002447: 00,3277 16621 TCF GOTO +4 # (ASSUME QPRET POINTS TO FIXED ONLY.) 051355,002448: 051356,002449: # Page 1183 051357,002450: # THE FOLLOWING SUBROUTINES ARE USED IN SQUARING MPAC, IN BOTH THE SCALAR AND VECTOR SENSE. THEY ARE 051358,002451: # SPECIAL CASES OF DMPSUB AND DOTSUB, PUT IN TO SAVE SOME TIME. 051359,002452: 051360,002453: 00,3300 30155 DSQSUB CA MPAC +1 # SQUARES THE SCALAR CONTENTS OF MPAC. 051361,002454: 00,3301 00006 EXTEND 051362,002455: 00,3302 70000 SQUARE 051363,002456: 00,3303 54156 TS MPAC +2 051364,002457: 00,3304 35021 CAF ZERO # FORM 2(CROSS TERM). 051365,002458: 00,3305 56155 XCH MPAC +1 051366,002459: 00,3306 00006 EXTEND 051367,002460: 00,3307 70154 MP MPAC 051368,002461: 00,3310 20001 DDOUBL # AND MAYBE OVEFLOW. 051369,002462: 00,3311 20156 DAS MPAC +1 # AND SET A TO NET OVERFLOW. 051370,002463: 00,3312 56154 XCH MPAC 051371,002464: 00,3313 00006 EXTEND 051372,002465: 00,3314 70000 SQUARE 051373,002466: 00,3315 20155 DAS MPAC 051374,002467: 00,3316 00002 TC Q 051375,002468: 051376,002469: 00,3317 00006 VSQSUB EXTEND # DOTS THE VECTOR IN MPAC WITH ITSELF. 051377,002470: 00,3320 22137 QXCH DOTRET 051378,002471: 00,3321 03300 TC DSQSUB # SQUARE THE X COMPONENT. 051379,002472: 00,3322 52160 DXCH MPAC +3 051380,002473: 00,3323 52155 DXCH MPAC 051381,002474: 00,3324 52131 DXCH BUF # SO WE CAN END IN DOTSUB. 051382,002475: 00,3325 30156 CA MPAC +2 051383,002476: 00,3326 54132 TS BUF +2 051384,002477: 051385,002478: 00,3327 03300 TC DSQSUB # SQUARE Y COMPONENT. 051386,002479: 00,3330 52156 DXCH MPAC +1 051387,002480: 00,3331 20132 DAS BUF +1 051388,002481: 00,3332 60154 AD MPAC 051389,002482: 00,3333 60130 AD BUF 051390,002483: 00,3334 54130 TS BUF 051391,002484: 00,3335 13337 TCF +2 051392,002485: 00,3336 54121 TS OVFIND # IF OVERFLOW. 051393,002486: 051394,002487: 00,3337 52162 DXCH MPAC +5 051395,002488: 00,3340 52155 DXCH MPAC 051396,002489: 00,3341 03300 TC DSQSUB # SQUARE Z COMPONENT. 051397,002490: 00,3342 17154 TCF ENDDOT # END AS IN DOTSUB. 051398,002491: 051399,002492: # Page 1184 051400,002493: # DOUBLE PRECISION SQUARE ROOT ROUTINE. TAKE THE SQUARE ROOT OF THE TRIPLE PRECISION (MPAC +2 USED ONLY 051401,002494: # IN NORMALIZATION) CONTENTS OF MPAC AND LEAVE THE NORMALIZED RESULT IN MPAC (C(MPAC) GREATER THAN OR EQUAL TO 051402,002495: # .5). THE RIGHT SHIFT COUNT (TC UNNORMALIZE) IS LEFT IN MPTEMP. 051403,002496: 051404,002497: 00,3343 35021 SQRTSUB CAF ZERO # START BY ZEROING RIGHT SHIFT COUNT. 051405,002498: 00,3344 54135 TS MPTEMP 051406,002499: 051407,002500: 00,3345 10154 CCS MPAC # CHECK FOR POSITIVE ARGUMENT, SHIFTING 051408,002501: 00,3346 13404 TCF SMPAC+ # FIRST SIGNIFICANT MPAC REGISTER INTO 051409,002502: 00,3347 13351 TCF +2 # MPAC ITSELF. 051410,002503: 00,3350 13373 TCF SQRTNEG # SEE IF MAG OF ARGUMENT LESS THAN 10(-4). 051411,002504: 051412,002505: 00,3351 56156 XCH MPAC +2 # MPAC IS ZERO -- SHIFT LEFT 14. 051413,002506: 00,3352 56155 XCH MPAC +1 051414,002507: 00,3353 54154 TS MPAC 051415,002508: 00,3354 35023 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER. 051416,002509: 00,3355 54135 TS MPTEMP 051417,002510: 051418,002511: 00,3356 10154 CCS MPAC # SEE IF MPAC NOW PNZ. 051419,002512: 00,3357 13404 TCF SMPAC+ 051420,002513: 00,3360 13362 TCF +2 051421,002514: 00,3361 13376 TCF ZEROANS # NEGATIVE BUT LESS THAN 10(-4) IN MAG. 051422,002515: 051423,002516: 00,3362 56155 XCH MPAC +1 # XERO -- SHIFT LEFT 14 AGAIN. 051424,002517: 00,3363 54154 TS MPAC 051425,002518: 00,3364 35023 CAF SEVEN # AUGMENT RIGHT SHIFT COUNTER. 051426,002519: 00,3365 26135 ADS MPTEMP 051427,002520: 051428,002521: 00,3366 10154 CCS MPAC 051429,002522: 00,3367 13404 TCF SMPAC+ 051430,002523: 00,3370 00002 TC Q # SQRT(0) = 0. 051431,002524: 00,3371 13376 TCF ZEROANS 051432,002525: 00,3372 13452 TCF FIXROOT # DO NOT LEAVE SQRTSUB WITH -0 IN MPAC. 051433,002526: 051434,002527: 00,3373 10000 SQRTNEG CCS A # ARGUMENT IS NEGATIVE, BUT SEE IF SIGN- 051435,002528: 00,3374 13402 TCF SQRTABRT # CORRECTED ARGUMENT IS LESS THAN 10(-4) 051436,002529: 051437,002530: 00,3375 10155 CCS MPAC +1 # IN MAGNITUDE. IF SO, CALL ANSWER ZERO. 051438,002531: 00,3376 35021 ZEROANS CAF ZERO # FORCE ANSWER TO ZERO HERE. 051439,002532: 00,3377 13452 TCF FIXROOT 051440,002533: 00,3400 13402 TCF SQRTABRT 051441,002534: 00,3401 13452 TCF FIXROOT 051442,002535: 051443,002536: 00,3402 05721 SQRTABRT TC P00DOO 051444,002537: 00,3403 01302 OCT 1302 051445,002538: 051446,002539: # Page 1185 051447,002540: 00,3404 62444 SMPAC+ AD -1/2+2 # SEE IF ARGUMENT GREATER THAN OR EQUAL TO 051448,002541: 00,3405 00006 EXTEND # .5. 051449,002542: 00,3406 63455 BZMF SRTEST # IF SO, SEE IF LESS THAN .25. 051450,002543: 051451,002544: 00,3407 52155 DXCH MPAC # WE WILL TAKE THE SQUARE ROOT OF MPAC/2. 051452,002545: 00,3410 22021 LXCH SR # SHIFT RIGHT 1 AND GO TO THE SQRT ROUTINE 051453,002546: 00,3411 00006 EXTEND 051454,002547: 00,3412 75002 MP HALF 051455,002548: 00,3413 52155 DXCH MPAC 051456,002549: 00,3414 56021 XCH SR 051457,002550: 00,3415 26155 ADS MPAC +1 # GUARANTEED NO OVERFLOW. 051458,002551: 051459,002552: 00,3416 32314 ARGHI CAF SLOPEHI # ARGUMENT BETWEEN .25 AND .5, GET A 051460,002553: 00,3417 00006 EXTEND # LINEAR APPROXIMATION FOR THIS RANGE. 051461,002554: 00,3420 70154 MP MPAC 051462,002555: 00,3421 62566 AD BIASHI # X0/2 = (MPAC/2)(SLOPHI) + BIASHI/2. 051463,002556: 051464,002557: 00,3422 54130 +4 TS BUF # X0/2 (ARGLO ENTERS HERE). 051465,002558: 00,3423 30154 CA MPAC # SINGLE-PRECISION THROUGHOUT. 051466,002559: 00,3424 22007 ZL 051467,002560: 00,3425 00006 EXTEND 051468,002561: 00,3426 10130 DV BUF # (MPAC/2)/(X0/2) 051469,002562: 00,3427 00006 EXTEND 051470,002563: 00,3430 75002 MP HALF 051471,002564: 00,3431 26130 ADS BUF # X1 = X0/2 + .5(MPAX/2)/(X0/2) 051472,002565: 051473,002566: 00,3432 00006 EXTEND 051474,002567: 00,3433 75002 MP HALF # FORM UP X1/2. 051475,002568: 00,3434 52155 DXCH MPAC # SAVE AND BRING OUT ARGUMENT. 051476,002569: 00,3435 00006 EXTEND # TAKE DP QUOTIENT WITH X1. 051477,002570: 00,3436 10130 DV BUF 051478,002571: 00,3437 54131 TS BUF +1 # SAVE MAJOR PART OF QUOTIENT. 051479,002572: 00,3440 35021 CAF ZERO # FORM MINOR PART OF QUOTIENT USING 051480,002573: 00,3441 56001 XCH L # (REMAINDER,0). 051481,002574: 00,3442 00006 EXTEND 051482,002575: 00,3443 10130 DV BUF 051483,002576: 00,3444 54001 TS L # IN PREPARATION FOR DAS. 051484,002577: 00,3445 30131 CA BUF +1 051485,002578: 00,3446 20155 DAS MPAC # X2 = X1/2 + (MPAC/2)X1 051486,002579: 051487,002580: 00,3447 00006 EXTEND # OVERFLOWS IF ARG. NEAR POSMAX. 051488,002581: 00,3450 13454 BZF TCQBNK00 051489,002582: 00,3451 34777 CAF POSMAX 051490,002583: 00,3452 54154 FIXROOT TS MPAC 051491,002584: 00,3453 54155 TS MPAC +1 051492,002585: 00,3454 00002 TCQBNK00 TC Q # RETURN TO CALLER TO UNNORMALIZE, ETC. 051493,002586: 051494,002587: # Page 1186 051495,002588: 00,3455 65003 SRTEST AD QUARTER # ARGUMENT WAS LESS THAN .5, SEE IF LESS 051496,002589: 00,3456 00006 EXTEND # THAN .25. 051497,002590: 00,3457 63501 BZMF SQRTNORM # IF SO, BEGIN NORMALIZATION. 051498,002591: 051499,002592: 00,3460 52155 DXCH MPAC # IF BETWEEN .5 AND .25, SHIFT RIGHT 1 AND 051500,002593: 00,3461 22021 LXCH SR # START AT ARGLO. 051501,002594: 00,3462 00006 EXTEND 051502,002595: 00,3463 75002 MP HALF 051503,002596: 00,3464 52155 DXCH MPAC 051504,002597: 00,3465 56021 XCH SR 051505,002598: 00,3466 26155 ADS MPAC +1 # NO OVERFLOW. 051506,002599: 051507,002600: 00,3467 33007 ARGLO CAF SLOPELO # (NORMALIZED) ARGUMENT BETWEEN .125 AND 051508,002601: 00,3470 00006 EXTEND # .25 051509,002602: 00,3471 70154 MP MPAC 051510,002603: 00,3472 62270 AD BIASLO 051511,002604: 00,3473 13422 TCF ARGHI +4 # BEGIN SQUARE ROOT. 051512,002605: 051513,002606: 00,3474 00006 SQRTNM2 EXTEND # SHIFT LEFT 2 AND INCREMENT RIGHT SHIFT 051514,002607: 00,3475 30156 DCA MPAC +1 # COUNT (FOR TERMINAL UNNORMALIZATION). 051515,002608: 00,3476 20156 DAS MPAC +1 051516,002609: 00,3477 60154 AD MPAC 051517,002610: 00,3500 26154 ADS MPAC # (NO OVERFLOW). 051518,002611: 051519,002612: 00,3501 24135 SQRTNORM INCR MPTEMP # FIRST TIME THROUGH, JUST SHIFT LEFT 1 051520,002613: 00,3502 00006 EXTEND # (PUTS IN EFFECTIVE RIGHT SHIFT SINCE 051521,002614: 00,3503 30156 DCA MPAC +1 # WE WANT MPAC/2). 051522,002615: 00,3504 20156 DAS MPAC +1 051523,002616: 00,3505 60154 AD MPAC 051524,002617: 00,3506 26154 ADS MPAC # (AGAIN NO OVERFLOW). 051525,002618: 00,3507 60000 DOUBLE 051526,002619: 00,3510 54022 TS CYL 051527,002620: 051528,002621: 00,3511 10022 NORMTEST CCS CYL # SEE IF ARGUMENT NOW NORMALIZED AT 051529,002622: 00,3512 10022 CCS CYL # GREATER THAN .125. 051530,002623: 00,3513 13474 TCF SQRTNM2 # NO -- SHIFT LEFT 2 MORE AND TRY AGAIN. 051531,002624: 00,3514 13416 TCF ARGHI # YES -- NOW BETWEEN .5 AND .25. 051532,002625: 00,3515 13467 TCF ARGLO # ARGUMENT NOW BETWEEN .25 AND .125. 051533,002626: 051534,002627: # Page 1187 051535,002628: # TRIGONOMETRIC FUNCTION PACKAGE. 051536,002629: # THE FOLLOWING TRIGONOMETRIC FUNCTIONS ARE AVAIALABLE AS INTERPRETIVE OPERATIONS: 051537,002630: # 1. SIN COMPUTES (1/2)SINE(2 PI MPAC). 051538,002631: # 2. COS COMPUTES (1/2)COSINE(2 PI MPAC). 051539,002632: # 3. ASIN COMPUTES (1/2PI)ARCSINE(2 MPAC). 051540,002633: # 4. ACOS COMPUTES (1/2PI)ARCCOSINE(2 MPAC). 051541,002634: 051542,002635: # SIN-ASIN AND COS-ACOS ARE MUTUALLY INVERSE, I.E., SIN(ASIN(X)) = X. 051543,002636: 051544,002637: 00,3516 06672 COSINE TC BRANCH # FINDS COSINE USING THE IDENTITY 051545,002638: 00,3517 13522 TCF +3 # COS(X) = SIN(PI/2 - ABS(X)). 051546,002639: 00,3520 13525 TCF PRESINE 051547,002640: 00,3521 13525 TCF PRESINE 051548,002641: 051549,002642: 00,3522 00006 +3 EXTEND 051550,002643: 00,3523 40155 DCS MPAC 051551,002644: 00,3524 52155 DXCH MPAC 051552,002645: 051553,002646: 00,3525 35003 PRESINE CAF QUARTER # PI/2 SCALED. 051554,002647: 00,3526 26154 ADS MPAC 051555,002648: 051556,002649: 00,3527 52155 SINE DXCH MPAC # DOUBLE ARGUMENT. 051557,002650: 00,3530 20001 DDOUBL 051558,002651: 00,3531 54000 OVSK # SEE IF OVERFLOW PRESENT. 051559,002652: 00,3532 13535 TCF +3 # IF NOT, ARGUMENT OK AS IS. 051560,002653: 051561,002654: 00,3533 00006 EXTEND # IF SO, WE LOST (OR GAINED) PI, SO 051562,002655: 00,3534 40001 DCOM # COMPLEMENT MPAC USING THE IDENTITY 051563,002656: # SIN(X-(+)PI) = SIN(-X). 051564,002657: 00,3535 52155 +3 DXCH MPAC 051565,002658: 00,3536 30154 CA MPAC # SEE IF ARGUMENT GREATER THAN .5 IN 051566,002659: 00,3537 60000 DOUBLE # MAGNITUDE. IF SO, REDUCE IT TO LESS THAN 051567,002660: 00,3540 54001 TS L # .5 (+-PI/2 SCALED) AS FOLLOWS: 051568,002661: 00,3541 13552 TCF SN1 051569,002662: 051570,002663: 00,3542 50000 INDEX A # IF POSITIVE, FORM PI - X, IF NEGATIVE 051571,002664: 00,3543 35001 CAF NEG1/2 +1 # USE -PI -X. 051572,002665: 00,3544 60000 DOUBLE 051573,002666: 00,3545 00006 EXTEND 051574,002667: 00,3546 60154 SU MPAC # GUARANTEED NO OVERFLOW. 051575,002668: 00,3547 54154 TS MPAC 051576,002669: 00,3550 40155 CS MPAC +1 051577,002670: 00,3551 54155 TS MPAC +1 051578,002671: 051579,002672: # Page 1188 051580,002673: 00,3552 00006 SN1 EXTEND # SET UP TO EVALUATE HASTINGS POLYNOMIAL 051581,002674: 00,3553 30155 DCA MPAC 051582,002675: 00,3554 52134 DXCH BUF2 051583,002676: 00,3555 03300 TC DSQSUB # SQUARE MPAC. 051584,002677: 051585,002678: 00,3556 07171 TC POLY # EVALUATE FOURTH ORDER POLYNOMIAL. 051586,002679: 00,3557 00003 DEC 3 B-14 051587,002680: 00,3560 14441 37325 2DEC +.3926990796 051588,002681: 00,3562 53250 60764 2DEC -.6459637111 051589,002682: 00,3564 12146 21276 2DEC +.318758717 051590,002683: 00,3566 75466 71471 2DEC -.074780249 051591,002684: 00,3570 00236 32757 2DEC +.009694988 051592,002685: 051593,002686: 00,3572 32470 CAF LBUF2 # MULTIPLY BY ARGUMENT AND SHIFT LEFT 2. 051594,002687: 00,3573 07055 TC DMPSUB -1 051595,002688: 051596,002689: 00,3574 00006 EXTEND 051597,002690: 00,3575 30156 DCA MPAC +1 051598,002691: 00,3576 20156 DAS MPAC +1 051599,002692: 00,3577 60154 AD MPAC 051600,002693: 00,3600 26154 ADS MPAC # NEITHER SHIFT OVERFLOWS. 051601,002694: 00,3601 00006 EXTEND 051602,002695: 00,3602 30156 DCA MPAC +1 051603,002696: 00,3603 20156 DAS MPAC +1 051604,002697: 00,3604 60154 AD MPAC 051605,002698: 00,3605 26154 ADS MPAC 051606,002699: 00,3606 16030 TCF DANZIG 051607,002700: 051608,002701: # Page 1189 051609,002702: # ARCSIN/ARCCOS ROUTINE. 051610,002703: 051611,002704: 00,3607 33630 ARCSIN CAF LASINEX # COMPUTE ARCSIN BY USING THE IDENTITY 051612,002705: 00,3610 13612 TCF +2 # ARCSIN(X) = PI/2 - ARCCOS(X). 051613,002706: 051614,002707: 00,3611 33712 ARCCOS CAF LDANZIG # (EXITS IMMEDIATELY). 051615,002708: 00,3612 54136 TS ESCAPE 051616,002709: 00,3613 06672 TC BRANCH # TEST SIGN OF INPUT. 051617,002710: 00,3614 13624 TCF ACOSST # START IMMEDIATELY IF POSITIVE. 051618,002711: 00,3615 13726 TCF ACOSZERO # ARCCOS(0) = PI/2 = .25. 051619,002712: 00,3616 00006 EXTEND # IF NEGATIVE, USE THE IDENTITY 051620,002713: 00,3617 40155 DCS MPAC # ARCCOS(X) = PI - ARCCOS(-X), FORCING 051621,002714: 00,3620 52155 DXCH MPAC # ARGUMENT POSITIVE. 051622,002715: 00,3621 33731 CAF TCSUBTR # SET EXIT TO DO ABOVE BEFROE 051623,002716: 00,3622 56136 XCH ESCAPE # ARCSIN/ARCCOS CONSIDERATIONS. 051624,002717: 00,3623 54137 TS ESCAPE2 051625,002718: 051626,002719: 00,3624 45002 ACOSST CS HALF # TEST MAGNITUDE OF INPUT. 051627,002720: 00,3625 60154 AD MPAC 051628,002721: 00,3626 10000 CCS A 051629,002722: 00,3627 13720 TCF ACOSOVF # THIS IS PROBABLY AN OVERFLOW CASE. 051630,002723: 051631,002724: 00,3630 13706 LASINEX TCF ASINEX 051632,002725: 051633,002726: 00,3631 13641 TCF ACOSST2 # NO OVERFLOW -- PROCEED. 051634,002727: 051635,002728: 00,3632 10155 CCS MPAC +1 # IF MAJOR PART IS .5, CALL ANSWER 0 051636,002729: 00,3633 35021 CAF ZERO # UNLESS MINOR PART NEGATIVE. 051637,002730: 00,3634 13636 TCF ACOS=0 051638,002731: 051639,002732: 00,3635 13641 TCF ACOSST2 051640,002733: 051641,002734: 00,3636 54155 ACOS=0 TS MPAC +1 051642,002735: 00,3637 54154 TS MPAC 051643,002736: 00,3640 00136 TC ESCAPE 051644,002737: 051645,002738: 00,3641 00006 ACOSST2 EXTEND # NOW THAT ARGUMENT IS IN PROPER RANGE, 051646,002739: 00,3642 40155 DCS MPAC # BEGIN COMPUTATION. USE HASTINGS 051647,002740: 00,3643 65002 AD HALF # APPROXIMATION ARCCOS(X) = SQRT(1-X)P(X) 051648,002741: 00,3644 52155 DXCH MPAC # IN A SCALED VERSION WHERE P(X) IS A 051649,002742: 00,3645 52134 DXCH BUF2 # SEVENTH ORDER POLYNOMIAL. 051650,002743: 051651,002744: 00,3646 03343 TC SQRTSUB # RETURNS WITH NORMALIZED SQUARE ROOT. 051652,002745: 051653,002746: 00,3647 10135 CCS MPTEMP # SEE IF UN-NORMALIZATION REQUIRED. 051654,002747: 00,3650 13713 TCF ACOSSHR 051655,002748: 051656,002749: # Page 1190 051657,002750: 00,3651 52155 ACOS3 DXCH MPAC # SET UP FOR POLYNOMIAL EVALUATION. 051658,002751: 00,3652 52134 DXCH BUF2 051659,002752: 00,3653 52155 DXCH MPAC 051660,002753: 051661,002754: 00,3654 07171 TC POLY 051662,002755: 00,3655 00006 DEC 6 B-14 051663,002756: 00,3656 13240 23630 2DEC +.353553385 # COEFFICIENTS ARE C 2(+I)/PISQRT(2) WHERE 051664,002757: 00,3660 74721 47775 2DEC* -.0483017006 B+1* # I 051665,002758: 00,3662 02440 20237 2DEC* +.0200273085 B+2* # WEHRE C STANDS FOR ORIGINAL COEFFS. 051666,002759: 00,3664 75067 70742 2DEC* -.0112931863 B+3* 051667,002760: 00,3666 03436 26756 2DEC* +.00695311612 B+4* 051668,002761: 00,3670 74037 57640 2DEC* -.00384617957 B+5* 051669,002762: 00,3672 03046 07143 2DEC* +.001501297736 B+6* 051670,002763: 00,3674 76654 42244 2DEC* -.000284160334 B+7* 051671,002764: 051672,002765: 00,3676 32470 CAF LBUF2 # DO FINAL MULTIPLY AND GO TO ANY 051673,002766: 00,3677 07055 TC DMPSUB -1 # EPILOGUE SEQUENCES. 051674,002767: 00,3700 00136 TC ESCAPE 051675,002768: 051676,002769: 00,3701 00006 SUBTR EXTEND # EPILOGUE FOR NEGATIVE INPUTS TO ARCCOS. 051677,002770: 00,3702 40155 DCS MPAC 051678,002771: 00,3703 65002 AD HALF # FORMS PI - ARCCOS(-X) = ARCCOS(X). 051679,002772: 00,3704 52155 DXCH MPAC 051680,002773: 00,3705 00137 TC ESCAPE2 # GO TO POSSIBLE ARCSIN EPILOGUE. 051681,002774: 051682,002775: 00,3706 00006 ASINEX EXTEND 051683,002776: 00,3707 40155 DCS MPAC # ARCSIN EPILOGUE -- GET ARCSIN(X) 051684,002777: 00,3710 65003 AD QUARTER # = PI/2 - ARCCOS(X). 051685,002778: 00,3711 52155 DXCH MPAC 051686,002779: 00,3712 16030 LDANZIG TCF DANZIG 051687,002780: 051688,002781: # Page 1191 051689,002782: 00,3713 50000 ACOSSHR INDEX A # THE SHIFT RIGHT IS LESS THAN 14 SINCE 051690,002783: 00,3714 35002 CAF BIT14 # THE INPUT WAS NON-ZERO DP. 051691,002784: 00,3715 54135 TS MPTEMP 051692,002785: 00,3716 02073 TC VSHRRND # DP SHIFT RIGHT AND ROUND. 051693,002786: 00,3717 13651 TCF ACOS3 # PROCEED. 051694,002787: 051695,002788: 00,3720 00006 ACOSOVF EXTEND # IF MAJOR PART WAS ONLY 1 MORE THAN .5, 051696,002789: 00,3721 13636 BZF ACOS=0 # CALL ANSWER ZERO. 051697,002790: 051698,002791: 00,3722 05650 ACOSABRT TC ALARM # IF OVERFLOW, CALL ANSWER ZERO BUT 051699,002792: 00,3723 01301 OCT 1301 # SOUND AN ALARM. 051700,002793: 051701,002794: 00,3724 35021 CAF ZERO 051702,002795: 00,3725 13636 TCF ACOS=0 051703,002796: 051704,002797: 00,3726 35003 ACOSZERO CAF QUARTER # ACOS(0) = PI/2. 051705,002798: 00,3727 13637 TCF ACOS=0 +1 # SET MPAC AND EXIT VIA ESCAPE. 051706,002799: 051707,002800: 00,3730 77763 NEG12 DEC -12 B-14 051708,002801: 00,3731 13701 TCSUBTR TCF SUBTR 051709,002802: 051710,002803: # Page 1192 051711,002804: # THE FOLLOWING INSTRUCTIONS ARE AVAILABLE FOR SETTING, MODIFYING, AND BRANCHING ON INDEX REGISTERS: 051712,002805: # 1. AXT ADDRESS TO INDEX TRUE. 051713,002806: # 2. AXC ADDRESS TO INDEX COMPLEMENTED. 051714,002807: # 3. LXA LOAD INDEX FROM ERASABLE. 051715,002808: # 4. LXC LOAD INDEX COMPLEMENTED FROM ERASABLE. 051716,002809: # 5. SXA STORE INDEX IN ERASABLE. 051717,002810: # 6. XCHX EXCHANGE INDEX REGISTER WITH ERASABLE. 051718,002811: # 7. INCR INCREMENT INDEX REGISTER. 051719,002812: # 8. XAD ERASABLE ERASABLE ADD TO INDEX REGISTER. 051720,002813: # 9. XSU ERASABLE SUBTRACT FROM INDEX REGISTER. 051721,002814: # 10. TIX BRANCH ON INDEX REGISTER AND DECREMENT. 051722,002815: 051723,002816: 01,2371 BANK 01 051724,002817: 051725,002818: 01,2371 COUNT 01/INTER 051726,002819: 051727,002820: 01,2371 02466 AXT TC TAGSUB # SELECT APPROPRIATE INDEX REGISTER. 051728,002821: 01,2372 30117 CA POLISH 051729,002822: 01,2373 50130 XSTORE INDEX INDEXLOC # CONTAINS C(FIXLOC) OR C(FIXLOC)+1 051730,002823: 01,2374 54046 TS X1 051731,002824: 01,2375 16030 TCF DANZIG 051732,002825: 051733,002826: 01,2376 02466 AXC TC TAGSUB 051734,002827: 01,2377 40117 CS POLISH 051735,002828: 01,2400 02373 TC XSTORE 051736,002829: 051737,002830: 01,2401 02454 LXA TC 15ADRERS # LOAD INDEX REGISTER FROM ERASABLE. 051738,002831: 01,2402 50117 INDEX POLISH 051739,002832: 01,2403 30000 CA 0 051740,002833: 01,2404 12373 TCF XSTORE 051741,002834: 051742,002835: 01,2405 02454 LXC TC 15ADRERS # LOAD NDX REG FROM ERASABLE COMPLEMENTED. 051743,002836: 01,2406 50117 INDEX POLISH 051744,002837: 01,2407 40000 CS 0 051745,002838: 01,2410 12373 TCF XSTORE 051746,002839: 051747,002840: 01,2411 02454 SXA TC 15ADRERS # STORE INDEX REGISTER IN ERASABLE. 051748,002841: 01,2412 50130 INDEX INDEXLOC 051749,002842: 01,2413 30046 CA X1 051750,002843: 01,2414 50117 MSTORE1 INDEX POLISH 051751,002844: 01,2415 54000 TS 0 051752,002845: 01,2416 16030 TCF DANZIG 051753,002846: 051754,002847: # Page 1193 051755,002848: 01,2417 02454 XCHX TC 15ADRERS # EXCHANGE INDEX REGISTER WITH ERASABLE. 051756,002849: 01,2420 50117 INDEX POLISH 051757,002850: 01,2421 30000 CA 0 051758,002851: 01,2422 50130 INDEX INDEXLOC 051759,002852: 01,2423 56046 XCH X1 051760,002853: 01,2424 12414 TCF MSTORE1 051761,002854: 051762,002855: 01,2425 02454 XAD TC 15ADRERS # ADD ERASABLE TO INDEX REGISTER. 051763,002856: 01,2426 50117 INDEX POLISH 051764,002857: 01,2427 30000 CA 0 051765,002858: 01,2430 50130 XAD2 INDEX INDEXLOC 051766,002859: 01,2431 26046 ADS X1 # IGNORING OVERFLOWS. 051767,002860: 01,2432 16030 TCF DANZIG 051768,002861: 051769,002862: 01,2433 02466 INCR TC TAGSUB # INCREMENT INDEX REGISTER. 051770,002863: 01,2434 30117 CA POLISH 051771,002864: 01,2435 12430 TCF XAD2 051772,002865: 051773,002866: 01,2436 02454 XSU TC 15ADRERS # SUBTRACT ERASABLE FROM INDEX REGISTER. 051774,002867: 01,2437 50117 INDEX POLISH 051775,002868: 01,2440 40000 CS 0 051776,002869: 01,2441 12430 TCF XAD2 051777,002870: 051778,002871: 01,2442 02466 TIX TC TAGSUB # BRANCH AND DECREMENT ON INDEX. 051779,002872: 01,2443 50130 INDEX INDEXLOC 051780,002873: 01,2444 40050 CS S1 051781,002874: 01,2445 50130 INDEX INDEXLOC 051782,002875: 01,2446 60046 AD X1 051783,002876: 01,2447 00006 EXTEND # NO OPERATION IF DECREMENTED INDEX IS 051784,002877: 01,2450 66030 BZMF DANZIG # NEGATIVE OR ZERO. 051785,002878: 051786,002879: 01,2451 50130 DOTIXBR INDEX INDEXLOC 051787,002880: 01,2452 56046 XCH X1 # IGNORING OVERFLOWS. 051788,002881: 051789,002882: 01,2453 16615 TCF GOTO # DO THE BRANCH USING THE CADR IN POLISH. 051790,002883: 051791,002884: # Page 1194 051792,002885: # SUBROUTINE TO CONVERT AN ERASABLE ADDRESS (11 BITS) TO AN EBANK SETTING AND SUBADDRESS. 051793,002886: 051794,002887: 01,2454 40117 15ADRERS CS POLISH 051795,002888: 01,2455 65034 AD DEC45 051796,002889: 01,2456 10000 CCS A # DOES THE ADDRESS POINT TO THE WORK AREA? 051797,002890: 01,2457 30120 CA FIXLOC # YES. ADD FIXLOC. EBANK OK AS IS. 051798,002891: 01,2460 12465 TCF +5 051799,002892: 051800,002893: 01,2461 35051 CA OCT1400 # NO. SET EBANK & MAKE UP SUBADDRESS. 051801,002894: 01,2462 56117 XCH POLISH 051802,002895: 01,2463 54003 TS EBANK 051803,002896: 01,2464 74373 MASK LOW8 051804,002897: 01,2465 26117 +5 ADS POLISH # FALL INTO TAGSUB, AND RETURN VIA Q. 051805,002898: 051806,002899: # SUBROUTINE WHICH SETS THE ADDRESS OF THE SPECIFIED INDEX IN INDEXLOC. (ACTUALLY, THE ADDRESS -38D.) 051807,002900: 051808,002901: 01,2466 30120 TAGSUB CA FIXLOC 051809,002902: 01,2467 54130 TS INDEXLOC 051810,002903: 051811,002904: 01,2470 10020 CCS CYR # BIT 15 SPECIFIES INDEX. 051812,002905: 01,2471 24130 INCR INDEXLOC # 0 MEANS USE X2. 051813,002906: 01,2472 00002 TC Q 051814,002907: 01,2473 00002 TC Q # 1 FOR X1. 051815,002908: 051816,002909: # Page 1195 051817,002910: # MISCELLANEOUS OPERATION CODES WITH DIRECT ADDRESSES. INCLUDED HERE ARE: 051818,002911: # 1. ITA STORE CPRET (RETURN ADDRESS) IN ERASABLE. 051819,002912: # 2. CALL CALL A SUBROUTINE, LEAVING RETURN IN QPRET. 051820,002913: # 3. RTB RETURN TO BASIC LANGUAGE AT THE GIVEN ADDRESS. 051821,002914: # 4. BHIZ BRANCH IF THE HIGHORDER OF MPAC IS ZERO (SINGLE PRECISION). 051822,002915: # 5. BOV BRANCH ON OVERFLOW. 051823,002916: # 6. GOTO SIMPLE SEQUENCE CHANGE. 051824,002917: 051825,002918: 01,2474 10020 RTB/BHIZ CCS CYR 051826,002919: 01,2475 30117 RTB CA POLISH 051827,002920: 01,2476 04665 TC SWCALL -1 # SO A "TC Q" FROM ROUTINE LEADS TO DANZIG 051828,002921: 051829,002922: 01,2477 10154 BHIZ CCS MPAC 051830,002923: 01,2500 16030 TCF DANZIG 051831,002924: 01,2501 16615 TCF GOTO 051832,002925: 01,2502 16030 TCF DANZIG 051833,002926: 01,2503 16615 TCF GOTO 051834,002927: 051835,002928: 01,2504 10121 BOV(B) CCS OVFIND # BRANCH ON OVERFLOW TO BASIC OR INTERP. 051836,002929: 01,2505 12507 TCF +2 051837,002930: 01,2506 16030 TCF DANZIG 051838,002931: 01,2507 54121 TS OVFIND 051839,002932: 01,2510 10020 CCS CYR 051840,002933: 01,2511 12475 TCF RTB # IF BASIC. 051841,002934: 01,2512 00360 B5TOBB OCT 360 051842,002935: 01,2513 16615 TCF GOTO 051843,002936: 051844,002937: # Page 1196 051845,002938: 01,2514 10020 BZE/GOTO CCS CYR # SEE WHICH OP-CODE IS DESIRED. 051846,002939: 01,2515 06672 TC BRANCH # DO BZE. 051847,002940: 01,2516 16030 TCF DANZIG 051848,002941: 01,2517 16615 TCF GOTO # DO GOTO. 051849,002942: 01,2520 16030 TCF DANZIG 051850,002943: 051851,002944: 01,2521 10020 BPL/BMN CCS CYR 051852,002945: 01,2522 12530 TCF BPL 051853,002946: 01,2523 5B10 # DEC 5 B+10 # SHIFTS OP CODE IN SWITCH INSTRUCTION ADR 051854,002947: 01,2523 12000 DEC 5 B-4 # RSB 2009 051855,002948: 051856,002949: 01,2524 06672 TC BRANCH # DO BMN 051857,002950: 01,2525 16030 TCF DANZIG 051858,002951: 01,2526 16030 TCF DANZIG 051859,002952: 01,2527 16615 TCF GOTO # ONLY IF NNZ. 051860,002953: 051861,002954: 01,2530 06672 BPL TC BRANCH 051862,002955: 01,2531 16615 TCF GOTO # IF POSITIVE OR ZERO. 051863,002956: 01,2532 16615 TCF GOTO 051864,002957: 01,2533 16030 TCF DANZIG 051865,002958: 051866,002959: 01,2534 10020 CALL/ITA CCS CYR 051867,002960: 01,2535 16607 TCF CALL 051868,002961: 051869,002962: 01,2536 05747 TC CCSHOLE 051870,002963: 01,2537 02454 TC 15ADRERS # STORE QPRET. (TAGSUB AFTER 15ADRERS IS 051871,002964: 01,2540 50120 INDEX FIXLOC # SLOW IN THIS CASE, BUT SAVES STORAGE.) 051872,002965: 01,2541 30052 CA QPRET 051873,002966: 01,2542 12414 TCF MSTORE1 051874,002967: 051875,002968: # Page 1197 051876,002969: # THE FOLLOWING OPERATIONS ARE AVAILABLE FOR ALTERING AND TESTING INTERPRETATIVE SWITCHES: 051877,002970: # 00 BONSET SET A SWITCH AND DO A GOTO IF IT WAS ON. 051878,002971: # 01 SETGO SET A SWITCH AND DO A GOTO. 051879,002972: # 02 BOFSET SET A SWITCH AND DOA GOTO IF IT WAS OFF 051880,002973: # 03 SET SET A SWITCH. 051881,002974: # 04 BONINV INVERT A SWITCH AND BRANCH IF IT WAS ON. 051882,002975: # 05 INVGO INVERT A SWITCH AND DO A GOTO. 051883,002976: # 06 BOFINV INVERT A SWITCH AND BRANCH IF IT WAS OFF 051884,002977: # 07 INVERT INVERT A SWITCH. 051885,002978: # 10 BONCLR CLEAR A SWITCH AND BRANCH IF IT WAS ON. 051886,002979: # 11 CLRGO CLEAR A SWITCH AND DO A GOTO. 051887,002980: # 12 BOFCLR CLEAR A SWITCH AND BRANCH IF IT WAS OFF. 051888,002981: # 13 CLEAR CLEAR A SWITCH. 051889,002982: # 14 BON BRANCH IF A SWITCH WAS ON. 051890,002983: # 16 BOFF BRANCH IF A SWITCH WAS OFF. 051891,002984: # THE ADDRESS SUPPLIED WITH THE SWITCH INSTRUCTION IS INTERPRETED AS FOLLOWS: 051892,002985: # BITS 1-4 SWITCH BIT NUMBER (1-15). 051893,002986: # BITS 5-8 SWITCH OPERATION NUMBER 051894,002987: # BITS 9- SWITCH WORD NUMBER (UP TO 64 SWITCH WORDS). 051895,002988: # THE ADDRESS ITSELF IS MADE UP BY THE YUL SYSTEM ASSEMBLER. THE BRANCH INSTRUCTIONS REQUIRE TWO 051896,002989: # ADDRESSES, THE SECOND TAKEN AS THE DIRECT (OR INDIRECT IF IN ERASABLE) ADDRESS OF THE BRANCH. 051897,002990: 051898,002991: 01,2543 35026 SWITCHES CAF LOW4 # LEAVE THE SWITCH BIT IN SWBIT. 051899,002992: 01,2544 70117 MASK POLISH 051900,002993: 01,2545 50000 INDEX A 051901,002994: 01,2546 35001 CAF BIT15 # (NUMBER FROM LEFT TO RIGHT.) 051902,002995: 01,2547 54131 TS SWBIT 051903,002996: 051904,002997: 01,2550 35011 CAF BIT7 # LEAVE THE SWITCH NUMBER IN SWWORD. 051905,002998: 01,2551 00006 EXTEND 051906,002999: 01,2552 70117 MP POLISH 051907,003000: 01,2553 54130 TS SWWORD 051908,003001: 051909,003002: 01,2554 00004 INHINT # DURING SWITCH CHANGE SO RUPT CAN USE TOO 051910,003003: 01,2555 50000 INDEX A # LEAVE THE SWITCH WORD ITSELF IN L. 051911,003004: 01,2556 30074 CA STATE 051912,003005: 01,2557 54002 TS Q # Q WILL BE USED AS A CHANNEL. 051913,003006: # Page 1198 051914,003007: 01,2560 35005 CAF BIT11 051915,003008: 01,2561 00006 EXTEND # DISPATCH SWITCH BIT OPERATION AS IN BITS 051916,003009: 01,2562 70117 MP POLISH # 7-8 OF POLISH. 051917,003010: 01,2563 72623 MASK B3TOB4 # GETS 4X2-BIT CODE. 051918,003011: 01,2564 50000 INDEX A 051919,003012: 01,2565 12566 TCF +1 051920,003013: 051921,003014: 01,2566 30131 +1 CA SWBIT # 00 -- SET SWITCH IN QUESTION. 051922,003015: 01,2567 00006 EXTEND 051923,003016: 01,2570 04002 ROR QCHAN 051924,003017: 01,2571 12600 TCF SWSTORE 051925,003018: 051926,003019: 01,2572 30131 +5 CA SWBIT # 01 -- INVERT SWITCH. 051927,003020: 01,2573 00006 EXTEND 051928,003021: 01,2574 06002 RXOR QCHAN 051929,003022: 01,2575 12600 TCF SWSTORE 051930,003023: 051931,003024: 01,2576 40131 +9D CS SWBIT # 10 -- CLEAR. 051932,003025: 01,2577 70002 MASK Q 051933,003026: 01,2600 50130 SWSTORE INDEX SWWORD 051934,003027: 01,2601 54074 TS STATE # NEW SWITCH WORD. 051935,003028: 051936,003029: # Page 1199 051937,003030: 01,2602 00003 +13D RELINT # 11 -- NOOP. 051938,003031: 01,2603 35003 CAF BIT13 051939,003032: 01,2604 00006 EXTEND # DISPATCH SEQUENCE CHANGING OR BRANCING 051940,003033: 01,2605 70117 MP POLISH # CODE. 051941,003034: 01,2606 72623 MASK B3TOB4 051942,003035: 01,2607 50000 INDEX A 051943,003036: 01,2610 12611 TCF +1 # ORIGINALLY STORED IN BITS 5-6 051944,003037: 051945,003038: 01,2611 40002 +1 CS Q # 00 -- BRANCH IF ON. 051946,003039: 01,2612 70131 TEST MASK SWBIT 051947,003040: 01,2613 10000 CCS A 051948,003041: 01,2614 12624 TCF SWSKIP 051949,003042: 051950,003043: 01,2615 16664 +5 TCF SWBRANCH # 01 -- GO TO. 051951,003044: 051952,003045: 01,2616 12624 TCF SWSKIP # HERE ONLY ON BIT 15. 051953,003046: 051954,003047: 01,2617 05747 TC CCSHOLE 051955,003048: 01,2620 05747 TC CCSHOLE 051956,003049: 051957,003050: 01,2621 30002 +9D CA Q # 10 -- BRANCH IF OFF. 051958,003051: 01,2622 12612 TCF TEST 051959,003052: 051960,003053: 01,2623 00014 B3TOB4 OCT 0014 051961,003054: 01,2624 24164 SWSKIP INCR LOC 051962,003055: 051963,003056: 01,2625 01,2543 SW/ EQUALS SWITCHES 051964,003057: 051965,003058: 01,2625 16030 +13D TCF DANZIG # 11 -- NOOP. 051966,003059: End of include-file INTERPRETER.agc. Parent file is MAIN.agc