ASSEMBLY LISTING OF SEGMENT >spec>install>1110>math_constants_.alm ASSEMBLED ON: 11/11/89 0943.6 mst Sat OPTIONS USED: -target l68 list symbols ASSEMBLED BY: ALM Version 8.14 March 1989 ASSEMBLER CREATED: 06/09/89 1002.3 mst Fri 1 " *********************************************************** 2 " * * 3 " * Copyright, (C) Honeywell Bull Inc., 1987 * 4 " * * 5 " * Copyright, (C) Honeywell Information Systems Inc., 1985 * 6 " * * 7 " *********************************************************** 8 9 " 10 " Rewritten: 13 Feb 85 by HH to put the HFP constant values 11 " immediately after the equivalent BFP values. This was 12 " done for the sake of the math routines that use X 13 " register offsets to differentiate between the HFP and BFP 14 " values. 15 16 000000 17 name math_constants_ 18 000000 19 segdef almost_one,hfp_almost_one 000000 20 almost_one: 000000 21 hfp_almost_one: 000000 aa 000777 777777 22 oct 000777777777,777777777777 000001 aa 777777 777777 23 24 000004 25 segdef half_pi,hfp_half_pi 000002 26 half_pi: 000002 aa 002622 077325 27 dec 1.570796326794896619231d+00 000003 aa 042055 060432 000004 28 hfp_half_pi: 000004 aa 002062 207732 29 oct 002062207732,504205506043 000005 aa 504205 506043 30 31 000010 32 segdef log_10_of_2,hfp_log_10_of_2 000006 33 log_10_of_2: 000006 aa 776464 202324 34 dec 3.010299956639811952137d-01 000007 aa 117571 775714 000010 35 hfp_log_10_of_2: 000010 aa 000232 101152 36 oct 000232101152,047674776746 000011 aa 047674 776746 37 38 000014 39 segdef log_10_of_e,hfp_log_10_of_e 000012 40 log_10_of_e: 000012 aa 776674 557305 41 dec 4.342944819032518276511d-01 000013 aa 223345 034313 000014 42 hfp_log_10_of_e: 000014 aa 000336 267542 43 oct 000336267542,511562416145 000015 aa 511562 416145 44 45 000020 46 segdef log_2_of_e,hfp_log_2_of_e 000016 47 log_2_of_e: 000016 aa 002561 250731 48 dec 1.442695040888963407359d+00 000017 aa 225602 774136 000020 49 hfp_log_2_of_e: 000020 aa 002056 125073 50 oct 002056125073,122560277414 000021 aa 122560 277414 51 52 000024 53 segdef log_e_of_2,hfp_log_e_of_2 000022 54 log_e_of_2: 000022 aa 000542 710277 55 dec 6.931471805599453094172d-01 000023 aa 575071 736326 000024 56 hfp_log_e_of_2: 000024 aa 000542 710277 57 oct 000542710277,575071736326 000025 aa 575071 736326 58 59 000026 60 segdef max_value,hfp_max_value 000026 61 max_value: 000026 62 hfp_max_value: 000026 aa 376777 777777 63 oct 376777777777,777777777777 000027 aa 777777 777777 64 65 000032 66 segdef one_degree,hfp_one_degree 000030 67 one_degree: 000030 aa 766435 750650 68 dec 1.745329251994329576923d-02 000031 aa 451235 162127 000032 69 hfp_one_degree: 000032 aa 776216 764324 70 oct 776216764324,224516471053 000033 aa 224516 471053 71 72 000036 73 segdef one_over_pi,hfp_one_over_pi 000034 74 one_over_pi: 000034 aa 776505 746033 75 dec 3.183098861837906715377d-01 000035 aa 344710 405225 000036 76 hfp_one_over_pi: 000036 aa 000242 763015 77 oct 000242763015,562344202512 000037 aa 562344 202512 78 79 000042 80 segdef one_radian,hfp_one_radian 000040 81 one_radian: 000040 aa 014712 273406 82 dec 5.729577951308232087679d+01 000041 aa 461701 757342 000042 83 hfp_one_radian: 000042 aa 004162 456701 84 oct 004162456701,514360373670 000043 aa 514360 373670 85 86 000046 87 segdef pi,hfp_pi 000044 88 pi: 000044 aa 004622 077325 89 dec 3.141592653589793238462d+00 000045 aa 042055 060432 000046 90 hfp_pi: 000046 aa 002144 417665 91 oct 002144417665,210413214107 000047 aa 210413 214107 92 93 000052 94 segdef quarter_pi,hfp_quarter_pi 000050 95 quarter_pi: 000050 aa 000622 077325 96 dec 7.853981633974483096156d-01 000051 aa 042055 060432 000052 97 hfp_quarter_pi: 000052 aa 000622 077325 98 oct 000622077325,042055060432 000053 aa 042055 060432 99 100 000056 101 segdef square_root_half,hfp_square_root_half 000054 102 square_root_half: 000054 aa 000552 023631 103 dec 7.071067811865475244008d-01 000055 aa 477473 631102 000056 104 hfp_square_root_half: 000056 aa 000552 023631 105 oct 000552023631,477473631102 000057 aa 477473 631102 106 107 000062 108 segdef square_root_three,hfp_square_root_three 000060 109 square_root_three: 000060 aa 002673 317272 110 dec 1.732050807568877293527d+00 000061 aa 054114 524717 000062 111 hfp_square_root_three: 000062 aa 002067 331727 112 oct 002067331727,205411452472 000063 aa 205411 452472 113 114 000066 115 segdef square_root_two,hfp_square_root_two 000064 116 square_root_two: 000064 aa 002552 023631 117 dec 1.414213562373095048801d+00 000065 aa 477473 631102 000066 118 hfp_square_root_two: 000066 aa 002055 202363 119 oct 002055202363,147747363110 000067 aa 147747 363110 120 121 122 end NO LITERALS NAME DEFINITIONS FOR ENTRY POINTS AND SEGDEFS 000070 5a 000003 000000 000071 5a 000330 600000 000072 aa 000000 000000 000073 55 000012 000002 000074 5a 000002 400003 000075 55 000006 000012 000076 aa 017 155 141 164 000077 aa 150 137 143 157 000100 aa 156 163 164 141 000101 aa 156 164 163 137 000102 55 000022 000003 000103 0a 000066 400000 000104 55 000015 000003 000105 aa 023 150 146 160 hfp_square_root_two 000106 aa 137 163 161 165 000107 aa 141 162 145 137 000110 aa 162 157 157 164 000111 aa 137 164 167 157 000112 55 000031 000012 000113 0a 000064 400000 000114 55 000025 000003 000115 aa 017 163 161 165 square_root_two 000116 aa 141 162 145 137 000117 aa 162 157 157 164 000120 aa 137 164 167 157 000121 55 000042 000022 000122 0a 000062 400000 000123 55 000034 000003 000124 aa 025 150 146 160 hfp_square_root_three 000125 aa 137 163 161 165 000126 aa 141 162 145 137 000127 aa 162 157 157 164 000130 aa 137 164 150 162 000131 aa 145 145 000 000 000132 55 000052 000031 000133 0a 000060 400000 000134 55 000045 000003 000135 aa 021 163 161 165 square_root_three 000136 aa 141 162 145 137 000137 aa 162 157 157 164 000140 aa 137 164 150 162 000141 aa 145 145 000 000 000142 55 000063 000042 000143 0a 000056 400000 000144 55 000055 000003 000145 aa 024 150 146 160 hfp_square_root_half 000146 aa 137 163 161 165 000147 aa 141 162 145 137 000150 aa 162 157 157 164 000151 aa 137 150 141 154 000152 aa 146 000 000 000 000153 55 000073 000052 000154 0a 000054 400000 000155 55 000066 000003 000156 aa 020 163 161 165 square_root_half 000157 aa 141 162 145 137 000160 aa 162 157 157 164 000161 aa 137 150 141 154 000162 aa 146 000 000 000 000163 55 000102 000063 000164 0a 000052 400000 000165 55 000076 000003 000166 aa 016 150 146 160 hfp_quarter_pi 000167 aa 137 161 165 141 000170 aa 162 164 145 162 000171 aa 137 160 151 000 000172 55 000110 000073 000173 0a 000050 400000 000174 55 000105 000003 000175 aa 012 161 165 141 quarter_pi 000176 aa 162 164 145 162 000177 aa 137 160 151 000 000200 55 000115 000102 000201 0a 000046 400000 000202 55 000113 000003 000203 aa 006 150 146 160 hfp_pi 000204 aa 137 160 151 000 000205 55 000121 000110 000206 0a 000044 400000 000207 55 000120 000003 000210 aa 002 160 151 000 pi 000211 55 000130 000115 000212 0a 000042 400000 000213 55 000124 000003 000214 aa 016 150 146 160 hfp_one_radian 000215 aa 137 157 156 145 000216 aa 137 162 141 144 000217 aa 151 141 156 000 000220 55 000136 000121 000221 0a 000040 400000 000222 55 000133 000003 000223 aa 012 157 156 145 one_radian 000224 aa 137 162 141 144 000225 aa 151 141 156 000 000226 55 000145 000130 000227 0a 000036 400000 000230 55 000141 000003 000231 aa 017 150 146 160 hfp_one_over_pi 000232 aa 137 157 156 145 000233 aa 137 157 166 145 000234 aa 162 137 160 151 000235 55 000153 000136 000236 0a 000034 400000 000237 55 000150 000003 000240 aa 013 157 156 145 one_over_pi 000241 aa 137 157 166 145 000242 aa 162 137 160 151 000243 55 000162 000145 000244 0a 000032 400000 000245 55 000156 000003 000246 aa 016 150 146 160 hfp_one_degree 000247 aa 137 157 156 145 000250 aa 137 144 145 147 000251 aa 162 145 145 000 000252 55 000170 000153 000253 0a 000030 400000 000254 55 000165 000003 000255 aa 012 157 156 145 one_degree 000256 aa 137 144 145 147 000257 aa 162 145 145 000 000260 55 000177 000162 000261 0a 000026 400000 000262 55 000173 000003 000263 aa 015 150 146 160 hfp_max_value 000264 aa 137 155 141 170 000265 aa 137 166 141 154 000266 aa 165 145 000 000 000267 55 000205 000170 000270 0a 000026 400000 000271 55 000202 000003 000272 aa 011 155 141 170 max_value 000273 aa 137 166 141 154 000274 aa 165 145 000 000 000275 55 000214 000177 000276 0a 000024 400000 000277 55 000210 000003 000300 aa 016 150 146 160 hfp_log_e_of_2 000301 aa 137 154 157 147 000302 aa 137 145 137 157 000303 aa 146 137 062 000 000304 55 000222 000205 000305 0a 000022 400000 000306 55 000217 000003 000307 aa 012 154 157 147 log_e_of_2 000310 aa 137 145 137 157 000311 aa 146 137 062 000 000312 55 000231 000214 000313 0a 000020 400000 000314 55 000225 000003 000315 aa 016 150 146 160 hfp_log_2_of_e 000316 aa 137 154 157 147 000317 aa 137 062 137 157 000320 aa 146 137 145 000 000321 55 000237 000222 000322 0a 000016 400000 000323 55 000234 000003 000324 aa 012 154 157 147 log_2_of_e 000325 aa 137 062 137 157 000326 aa 146 137 145 000 000327 55 000246 000231 000330 0a 000014 400000 000331 55 000242 000003 000332 aa 017 150 146 160 hfp_log_10_of_e 000333 aa 137 154 157 147 000334 aa 137 061 060 137 000335 aa 157 146 137 145 000336 55 000254 000237 000337 0a 000012 400000 000340 55 000251 000003 000341 aa 013 154 157 147 log_10_of_e 000342 aa 137 061 060 137 000343 aa 157 146 137 145 000344 55 000263 000246 000345 0a 000010 400000 000346 55 000257 000003 000347 aa 017 150 146 160 hfp_log_10_of_2 000350 aa 137 154 157 147 000351 aa 137 061 060 137 000352 aa 157 146 137 062 000353 55 000271 000254 000354 0a 000006 400000 000355 55 000266 000003 000356 aa 013 154 157 147 log_10_of_2 000357 aa 137 061 060 137 000360 aa 157 146 137 062 000361 55 000277 000263 000362 0a 000004 400000 000363 55 000274 000003 000364 aa 013 150 146 160 hfp_half_pi 000365 aa 137 150 141 154 000366 aa 146 137 160 151 000367 55 000304 000271 000370 0a 000002 400000 000371 55 000302 000003 000372 aa 007 150 141 154 half_pi 000373 aa 146 137 160 151 000374 55 000313 000277 000375 0a 000000 400000 000376 55 000307 000003 000377 aa 016 150 146 160 hfp_almost_one 000400 aa 137 141 154 155 000401 aa 157 163 164 137 000402 aa 157 156 145 000 000403 55 000321 000304 000404 0a 000000 400000 000405 55 000316 000003 000406 aa 012 141 154 155 almost_one 000407 aa 157 163 164 137 000410 aa 157 156 145 000 000411 55 000002 000313 000412 6a 000000 400002 000413 55 000324 000003 000414 aa 014 163 171 155 symbol_table 000415 aa 142 157 154 137 000416 aa 164 141 142 154 000417 aa 145 000 000 000 DEFINITIONS HASH TABLE 000420 aa 000000 000065 000421 aa 000000 000000 000422 5a 000110 000000 000423 aa 000000 000000 000424 5a 000246 000000 000425 5a 000263 000000 000426 5a 000214 000000 000427 5a 000231 000000 000430 aa 000000 000000 000431 aa 000000 000000 000432 aa 000000 000000 000433 aa 000000 000000 000434 5a 000042 000000 000435 aa 000000 000000 000436 5a 000063 000000 000437 aa 000000 000000 000440 5a 000022 000000 000441 aa 000000 000000 000442 5a 000177 000000 000443 aa 000000 000000 000444 aa 000000 000000 000445 aa 000000 000000 000446 aa 000000 000000 000447 aa 000000 000000 000450 aa 000000 000000 000451 5a 000031 000000 000452 aa 000000 000000 000453 5a 000052 000000 000454 5a 000102 000000 000455 5a 000012 000000 000456 5a 000321 000000 000457 aa 000000 000000 000460 aa 000000 000000 000461 5a 000277 000000 000462 aa 000000 000000 000463 aa 000000 000000 000464 aa 000000 000000 000465 5a 000136 000000 000466 5a 000145 000000 000467 5a 000073 000000 000470 5a 000121 000000 000471 5a 000130 000000 000472 5a 000153 000000 000473 5a 000162 000000 000474 5a 000170 000000 000475 5a 000205 000000 000476 5a 000222 000000 000477 5a 000237 000000 000500 5a 000254 000000 000501 5a 000271 000000 000502 5a 000304 000000 000503 5a 000115 000000 000504 aa 000000 000000 000505 5a 000313 000000 NO EXTERNAL NAMES NO TRAP POINTER WORDS TYPE PAIR BLOCKS 000506 aa 000001 000000 000507 aa 000000 000000 INTERNAL EXPRESSION WORDS LINKAGE INFORMATION 000000 aa 000000 000000 000001 0a 000070 000000 000002 aa 000000 000000 000003 aa 000000 000000 000004 aa 000000 000000 000005 aa 000000 000000 000006 22 000010 000010 000007 a2 000000 000000 SYMBOL INFORMATION SYMBOL TABLE HEADER 000000 aa 000000 000001 000001 aa 163171 155142 000002 aa 164162 145145 000003 aa 000000 000010 000004 aa 000000 117244 000005 aa 361023 525721 000006 aa 000000 117547 000007 aa 252676 222320 000010 aa 141154 155040 000011 aa 040040 040040 000012 aa 000024 000040 000013 aa 000034 000040 000014 aa 000044 000100 000015 aa 000002 000002 000016 aa 000064 000000 000017 aa 000000 000172 000020 aa 000000 000104 000021 aa 000115 000112 000022 aa 000164 000104 000023 aa 000064 000000 000024 aa 101114 115040 000025 aa 126145 162163 000026 aa 151157 156040 000027 aa 070056 061064 000030 aa 040115 141162 000031 aa 143150 040061 000032 aa 071070 071040 000033 aa 040040 040040 000034 aa 110151 162156 000035 aa 145151 163145 000036 aa 156056 123171 000037 aa 163115 141151 000040 aa 156164 056141 000041 aa 040040 040040 000042 aa 040040 040040 000043 aa 040040 040040 000044 aa 055164 141162 000045 aa 147145 164040 000046 aa 154066 070040 000047 aa 040040 040040 000050 aa 040040 040040 000051 aa 040040 040040 000052 aa 040040 040040 000053 aa 040040 040040 000054 aa 040040 040040 000055 aa 040040 040040 000056 aa 040154 151163 000057 aa 164040 163171 000060 aa 155142 157154 000061 aa 163040 040040 000062 aa 040040 040040 000063 aa 040040 040040 000064 aa 000000 000001 000065 aa 000000 000001 000066 aa 000072 000046 000067 aa 175453 017754 000070 aa 000000 117547 000071 aa 177004 400000 000072 aa 076163 160145 >spec>install>1110>math_constants_.alm 000073 aa 143076 151156 000074 aa 163164 141154 000075 aa 154076 061061 000076 aa 061060 076155 000077 aa 141164 150137 000100 aa 143157 156163 000101 aa 164141 156164 000102 aa 163137 056141 000103 aa 154155 040040 MULTICS ASSEMBLY CROSS REFERENCE LISTING Value Symbol Source file Line number 0 almost_one math_constants_: 19, 20. 2 half_pi math_constants_: 25, 26. 0 hfp_almost_one math_constants_: 19, 21. 4 hfp_half_pi math_constants_: 25, 28. 10 hfp_log_10_of_2 math_constants_: 32, 35. 14 hfp_log_10_of_e math_constants_: 39, 42. 20 hfp_log_2_of_e math_constants_: 46, 49. 24 hfp_log_e_of_2 math_constants_: 53, 56. 26 hfp_max_value math_constants_: 60, 62. 32 hfp_one_degree math_constants_: 66, 69. 36 hfp_one_over_pi math_constants_: 73, 76. 42 hfp_one_radian math_constants_: 80, 83. 46 hfp_pi math_constants_: 87, 90. 52 hfp_quarter_pi math_constants_: 94, 97. 56 hfp_square_root_half math_constants_: 101, 104. 62 hfp_square_root_three math_constants_: 108, 111. 66 hfp_square_root_two math_constants_: 115, 118. 6 log_10_of_2 math_constants_: 32, 33. 12 log_10_of_e math_constants_: 39, 40. 16 log_2_of_e math_constants_: 46, 47. 22 log_e_of_2 math_constants_: 53, 54. 26 max_value math_constants_: 60, 61. 30 one_degree math_constants_: 66, 67. 34 one_over_pi math_constants_: 73, 74. 40 one_radian math_constants_: 80, 81. 44 pi math_constants_: 87, 88. 50 quarter_pi math_constants_: 94, 95. 54 square_root_half math_constants_: 101, 102. 60 square_root_three math_constants_: 108, 109. 64 square_root_two math_constants_: 115, 116. NO FATAL ERRORS ----------------------------------------------------------- Historical Background This edition of the Multics software materials and documentation is provided and donated to Massachusetts Institute of Technology by Group BULL including BULL HN Information Systems Inc. as a contribution to computer science knowledge. This donation is made also to give evidence of the common contributions of Massachusetts Institute of Technology, Bell Laboratories, General Electric, Honeywell Information Systems Inc., Honeywell BULL Inc., Groupe BULL and BULL HN Information Systems Inc. to the development of this operating system. Multics development was initiated by Massachusetts Institute of Technology Project MAC (1963-1970), renamed the MIT Laboratory for Computer Science and Artificial Intelligence in the mid 1970s, under the leadership of Professor Fernando Jose Corbato. Users consider that Multics provided the best software architecture for managing computer hardware properly and for executing programs. Many subsequent operating systems incorporated Multics principles. Multics was distributed in 1975 to 2000 by Group Bull in Europe , and in the U.S. by Bull HN Information Systems Inc., as successor in interest by change in name only to Honeywell Bull Inc. and Honeywell Information Systems Inc. . ----------------------------------------------------------- Permission to use, copy, modify, and distribute these programs and their documentation for any purpose and without fee is hereby granted,provided that the below copyright notice and historical background appear in all copies and that both the copyright notice and historical background and this permission notice appear in supporting documentation, and that the names of MIT, HIS, BULL or BULL HN not be used in advertising or publicity pertaining to distribution of the programs without specific prior written permission. Copyright 1972 by Massachusetts Institute of Technology and Honeywell Information Systems Inc. Copyright 2006 by BULL HN Information Systems Inc. Copyright 2006 by Bull SAS All Rights Reserved