1------------------------------------------------------------------------ 2-- ddSubtract.decTest -- decDouble subtraction -- 3-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- 4------------------------------------------------------------------------ 5-- Please see the document "General Decimal Arithmetic Testcases" -- 6-- at http://www2.hursley.ibm.com/decimal for the description of -- 7-- these testcases. -- 8-- -- 9-- These testcases are experimental ('beta' versions), and they -- 10-- may contain errors. They are offered on an as-is basis. In -- 11-- particular, achieving the same results as the tests here is not -- 12-- a guarantee that an implementation complies with any Standard -- 13-- or specification. The tests are not exhaustive. -- 14-- -- 15-- Please send comments, suggestions, and corrections to the author: -- 16-- Mike Cowlishaw, IBM Fellow -- 17-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18-- mfc@uk.ibm.com -- 19------------------------------------------------------------------------ 20version: 2.59 21 22-- This set of tests are for decDoubles only; all arguments are 23-- representable in a decDouble 24precision: 16 25maxExponent: 384 26minExponent: -383 27extended: 1 28clamp: 1 29rounding: half_even 30 31-- [first group are 'quick confidence check'] 32ddsub001 subtract 0 0 -> '0' 33ddsub002 subtract 1 1 -> '0' 34ddsub003 subtract 1 2 -> '-1' 35ddsub004 subtract 2 1 -> '1' 36ddsub005 subtract 2 2 -> '0' 37ddsub006 subtract 3 2 -> '1' 38ddsub007 subtract 2 3 -> '-1' 39 40ddsub011 subtract -0 0 -> '-0' 41ddsub012 subtract -1 1 -> '-2' 42ddsub013 subtract -1 2 -> '-3' 43ddsub014 subtract -2 1 -> '-3' 44ddsub015 subtract -2 2 -> '-4' 45ddsub016 subtract -3 2 -> '-5' 46ddsub017 subtract -2 3 -> '-5' 47 48ddsub021 subtract 0 -0 -> '0' 49ddsub022 subtract 1 -1 -> '2' 50ddsub023 subtract 1 -2 -> '3' 51ddsub024 subtract 2 -1 -> '3' 52ddsub025 subtract 2 -2 -> '4' 53ddsub026 subtract 3 -2 -> '5' 54ddsub027 subtract 2 -3 -> '5' 55 56ddsub030 subtract 11 1 -> 10 57ddsub031 subtract 10 1 -> 9 58ddsub032 subtract 9 1 -> 8 59ddsub033 subtract 1 1 -> 0 60ddsub034 subtract 0 1 -> -1 61ddsub035 subtract -1 1 -> -2 62ddsub036 subtract -9 1 -> -10 63ddsub037 subtract -10 1 -> -11 64ddsub038 subtract -11 1 -> -12 65 66ddsub040 subtract '5.75' '3.3' -> '2.45' 67ddsub041 subtract '5' '-3' -> '8' 68ddsub042 subtract '-5' '-3' -> '-2' 69ddsub043 subtract '-7' '2.5' -> '-9.5' 70ddsub044 subtract '0.7' '0.3' -> '0.4' 71ddsub045 subtract '1.3' '0.3' -> '1.0' 72ddsub046 subtract '1.25' '1.25' -> '0.00' 73 74ddsub050 subtract '1.23456789' '1.00000000' -> '0.23456789' 75ddsub051 subtract '1.23456789' '1.00000089' -> '0.23456700' 76 77ddsub060 subtract '70' '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded 78ddsub061 subtract '700' '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded 79ddsub062 subtract '7000' '10000e+16' -> '-9.999999999999999E+19' Inexact Rounded 80ddsub063 subtract '70000' '10000e+16' -> '-9.999999999999993E+19' Rounded 81ddsub064 subtract '700000' '10000e+16' -> '-9.999999999999930E+19' Rounded 82 -- symmetry: 83ddsub065 subtract '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded 84ddsub066 subtract '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded 85ddsub067 subtract '10000e+16' '7000' -> '9.999999999999999E+19' Inexact Rounded 86ddsub068 subtract '10000e+16' '70000' -> '9.999999999999993E+19' Rounded 87ddsub069 subtract '10000e+16' '700000' -> '9.999999999999930E+19' Rounded 88 89 -- some of the next group are really constructor tests 90ddsub090 subtract '00.0' '0.0' -> '0.0' 91ddsub091 subtract '00.0' '0.00' -> '0.00' 92ddsub092 subtract '0.00' '00.0' -> '0.00' 93ddsub093 subtract '00.0' '0.00' -> '0.00' 94ddsub094 subtract '0.00' '00.0' -> '0.00' 95ddsub095 subtract '3' '.3' -> '2.7' 96ddsub096 subtract '3.' '.3' -> '2.7' 97ddsub097 subtract '3.0' '.3' -> '2.7' 98ddsub098 subtract '3.00' '.3' -> '2.70' 99ddsub099 subtract '3' '3' -> '0' 100ddsub100 subtract '3' '+3' -> '0' 101ddsub101 subtract '3' '-3' -> '6' 102ddsub102 subtract '3' '0.3' -> '2.7' 103ddsub103 subtract '3.' '0.3' -> '2.7' 104ddsub104 subtract '3.0' '0.3' -> '2.7' 105ddsub105 subtract '3.00' '0.3' -> '2.70' 106ddsub106 subtract '3' '3.0' -> '0.0' 107ddsub107 subtract '3' '+3.0' -> '0.0' 108ddsub108 subtract '3' '-3.0' -> '6.0' 109 110-- the above all from add; massaged and extended. Now some new ones... 111-- [particularly important for comparisons] 112-- NB: -xE-8 below were non-exponents pre-ANSI X3-274, and -1E-7 or 0E-7 113-- with input rounding. 114ddsub120 subtract '10.23456784' '10.23456789' -> '-5E-8' 115ddsub121 subtract '10.23456785' '10.23456789' -> '-4E-8' 116ddsub122 subtract '10.23456786' '10.23456789' -> '-3E-8' 117ddsub123 subtract '10.23456787' '10.23456789' -> '-2E-8' 118ddsub124 subtract '10.23456788' '10.23456789' -> '-1E-8' 119ddsub125 subtract '10.23456789' '10.23456789' -> '0E-8' 120ddsub126 subtract '10.23456790' '10.23456789' -> '1E-8' 121ddsub127 subtract '10.23456791' '10.23456789' -> '2E-8' 122ddsub128 subtract '10.23456792' '10.23456789' -> '3E-8' 123ddsub129 subtract '10.23456793' '10.23456789' -> '4E-8' 124ddsub130 subtract '10.23456794' '10.23456789' -> '5E-8' 125ddsub131 subtract '10.23456781' '10.23456786' -> '-5E-8' 126ddsub132 subtract '10.23456782' '10.23456786' -> '-4E-8' 127ddsub133 subtract '10.23456783' '10.23456786' -> '-3E-8' 128ddsub134 subtract '10.23456784' '10.23456786' -> '-2E-8' 129ddsub135 subtract '10.23456785' '10.23456786' -> '-1E-8' 130ddsub136 subtract '10.23456786' '10.23456786' -> '0E-8' 131ddsub137 subtract '10.23456787' '10.23456786' -> '1E-8' 132ddsub138 subtract '10.23456788' '10.23456786' -> '2E-8' 133ddsub139 subtract '10.23456789' '10.23456786' -> '3E-8' 134ddsub140 subtract '10.23456790' '10.23456786' -> '4E-8' 135ddsub141 subtract '10.23456791' '10.23456786' -> '5E-8' 136ddsub142 subtract '1' '0.999999999' -> '1E-9' 137ddsub143 subtract '0.999999999' '1' -> '-1E-9' 138ddsub144 subtract '-10.23456780' '-10.23456786' -> '6E-8' 139ddsub145 subtract '-10.23456790' '-10.23456786' -> '-4E-8' 140ddsub146 subtract '-10.23456791' '-10.23456786' -> '-5E-8' 141 142-- additional scaled arithmetic tests [0.97 problem] 143ddsub160 subtract '0' '.1' -> '-0.1' 144ddsub161 subtract '00' '.97983' -> '-0.97983' 145ddsub162 subtract '0' '.9' -> '-0.9' 146ddsub163 subtract '0' '0.102' -> '-0.102' 147ddsub164 subtract '0' '.4' -> '-0.4' 148ddsub165 subtract '0' '.307' -> '-0.307' 149ddsub166 subtract '0' '.43822' -> '-0.43822' 150ddsub167 subtract '0' '.911' -> '-0.911' 151ddsub168 subtract '.0' '.02' -> '-0.02' 152ddsub169 subtract '00' '.392' -> '-0.392' 153ddsub170 subtract '0' '.26' -> '-0.26' 154ddsub171 subtract '0' '0.51' -> '-0.51' 155ddsub172 subtract '0' '.2234' -> '-0.2234' 156ddsub173 subtract '0' '.2' -> '-0.2' 157ddsub174 subtract '.0' '.0008' -> '-0.0008' 158-- 0. on left 159ddsub180 subtract '0.0' '-.1' -> '0.1' 160ddsub181 subtract '0.00' '-.97983' -> '0.97983' 161ddsub182 subtract '0.0' '-.9' -> '0.9' 162ddsub183 subtract '0.0' '-0.102' -> '0.102' 163ddsub184 subtract '0.0' '-.4' -> '0.4' 164ddsub185 subtract '0.0' '-.307' -> '0.307' 165ddsub186 subtract '0.0' '-.43822' -> '0.43822' 166ddsub187 subtract '0.0' '-.911' -> '0.911' 167ddsub188 subtract '0.0' '-.02' -> '0.02' 168ddsub189 subtract '0.00' '-.392' -> '0.392' 169ddsub190 subtract '0.0' '-.26' -> '0.26' 170ddsub191 subtract '0.0' '-0.51' -> '0.51' 171ddsub192 subtract '0.0' '-.2234' -> '0.2234' 172ddsub193 subtract '0.0' '-.2' -> '0.2' 173ddsub194 subtract '0.0' '-.0008' -> '0.0008' 174-- negatives of same 175ddsub200 subtract '0' '-.1' -> '0.1' 176ddsub201 subtract '00' '-.97983' -> '0.97983' 177ddsub202 subtract '0' '-.9' -> '0.9' 178ddsub203 subtract '0' '-0.102' -> '0.102' 179ddsub204 subtract '0' '-.4' -> '0.4' 180ddsub205 subtract '0' '-.307' -> '0.307' 181ddsub206 subtract '0' '-.43822' -> '0.43822' 182ddsub207 subtract '0' '-.911' -> '0.911' 183ddsub208 subtract '.0' '-.02' -> '0.02' 184ddsub209 subtract '00' '-.392' -> '0.392' 185ddsub210 subtract '0' '-.26' -> '0.26' 186ddsub211 subtract '0' '-0.51' -> '0.51' 187ddsub212 subtract '0' '-.2234' -> '0.2234' 188ddsub213 subtract '0' '-.2' -> '0.2' 189ddsub214 subtract '.0' '-.0008' -> '0.0008' 190 191-- more fixed, LHS swaps [really the same as testcases under add] 192ddsub220 subtract '-56267E-12' 0 -> '-5.6267E-8' 193ddsub221 subtract '-56267E-11' 0 -> '-5.6267E-7' 194ddsub222 subtract '-56267E-10' 0 -> '-0.0000056267' 195ddsub223 subtract '-56267E-9' 0 -> '-0.000056267' 196ddsub224 subtract '-56267E-8' 0 -> '-0.00056267' 197ddsub225 subtract '-56267E-7' 0 -> '-0.0056267' 198ddsub226 subtract '-56267E-6' 0 -> '-0.056267' 199ddsub227 subtract '-56267E-5' 0 -> '-0.56267' 200ddsub228 subtract '-56267E-2' 0 -> '-562.67' 201ddsub229 subtract '-56267E-1' 0 -> '-5626.7' 202ddsub230 subtract '-56267E-0' 0 -> '-56267' 203-- symmetry ... 204ddsub240 subtract 0 '-56267E-12' -> '5.6267E-8' 205ddsub241 subtract 0 '-56267E-11' -> '5.6267E-7' 206ddsub242 subtract 0 '-56267E-10' -> '0.0000056267' 207ddsub243 subtract 0 '-56267E-9' -> '0.000056267' 208ddsub244 subtract 0 '-56267E-8' -> '0.00056267' 209ddsub245 subtract 0 '-56267E-7' -> '0.0056267' 210ddsub246 subtract 0 '-56267E-6' -> '0.056267' 211ddsub247 subtract 0 '-56267E-5' -> '0.56267' 212ddsub248 subtract 0 '-56267E-2' -> '562.67' 213ddsub249 subtract 0 '-56267E-1' -> '5626.7' 214ddsub250 subtract 0 '-56267E-0' -> '56267' 215 216-- now some more from the 'new' add 217ddsub301 subtract '1.23456789' '1.00000000' -> '0.23456789' 218ddsub302 subtract '1.23456789' '1.00000011' -> '0.23456778' 219 220-- some carrying effects 221ddsub321 subtract '0.9998' '0.0000' -> '0.9998' 222ddsub322 subtract '0.9998' '0.0001' -> '0.9997' 223ddsub323 subtract '0.9998' '0.0002' -> '0.9996' 224ddsub324 subtract '0.9998' '0.0003' -> '0.9995' 225ddsub325 subtract '0.9998' '-0.0000' -> '0.9998' 226ddsub326 subtract '0.9998' '-0.0001' -> '0.9999' 227ddsub327 subtract '0.9998' '-0.0002' -> '1.0000' 228ddsub328 subtract '0.9998' '-0.0003' -> '1.0001' 229 230-- internal boundaries 231ddsub346 subtract '10000e+9' '7' -> '9999999999993' 232ddsub347 subtract '10000e+9' '70' -> '9999999999930' 233ddsub348 subtract '10000e+9' '700' -> '9999999999300' 234ddsub349 subtract '10000e+9' '7000' -> '9999999993000' 235ddsub350 subtract '10000e+9' '70000' -> '9999999930000' 236ddsub351 subtract '10000e+9' '700000' -> '9999999300000' 237ddsub352 subtract '7' '10000e+9' -> '-9999999999993' 238ddsub353 subtract '70' '10000e+9' -> '-9999999999930' 239ddsub354 subtract '700' '10000e+9' -> '-9999999999300' 240ddsub355 subtract '7000' '10000e+9' -> '-9999999993000' 241ddsub356 subtract '70000' '10000e+9' -> '-9999999930000' 242ddsub357 subtract '700000' '10000e+9' -> '-9999999300000' 243 244-- zero preservation 245ddsub361 subtract 1 '0.0001' -> '0.9999' 246ddsub362 subtract 1 '0.00001' -> '0.99999' 247ddsub363 subtract 1 '0.000001' -> '0.999999' 248ddsub364 subtract 1 '0.0000000000000001' -> '0.9999999999999999' 249ddsub365 subtract 1 '0.00000000000000001' -> '1.000000000000000' Inexact Rounded 250ddsub366 subtract 1 '0.000000000000000001' -> '1.000000000000000' Inexact Rounded 251 252-- some funny zeros [in case of bad signum] 253ddsub370 subtract 1 0 -> 1 254ddsub371 subtract 1 0. -> 1 255ddsub372 subtract 1 .0 -> 1.0 256ddsub373 subtract 1 0.0 -> 1.0 257ddsub374 subtract 0 1 -> -1 258ddsub375 subtract 0. 1 -> -1 259ddsub376 subtract .0 1 -> -1.0 260ddsub377 subtract 0.0 1 -> -1.0 261 262-- leading 0 digit before round 263ddsub910 subtract -103519362 -51897955.3 -> -51621406.7 264ddsub911 subtract 159579.444 89827.5229 -> 69751.9211 265 266ddsub920 subtract 333.0000000123456 33.00000001234566 -> 299.9999999999999 Inexact Rounded 267ddsub921 subtract 333.0000000123456 33.00000001234565 -> 300.0000000000000 Inexact Rounded 268ddsub922 subtract 133.0000000123456 33.00000001234565 -> 99.99999999999995 269ddsub923 subtract 133.0000000123456 33.00000001234564 -> 99.99999999999996 270ddsub924 subtract 133.0000000123456 33.00000001234540 -> 100.0000000000002 Rounded 271ddsub925 subtract 133.0000000123456 43.00000001234560 -> 90.00000000000000 272ddsub926 subtract 133.0000000123456 43.00000001234561 -> 89.99999999999999 273ddsub927 subtract 133.0000000123456 43.00000001234566 -> 89.99999999999994 274ddsub928 subtract 101.0000000123456 91.00000001234566 -> 9.99999999999994 275ddsub929 subtract 101.0000000123456 99.00000001234566 -> 1.99999999999994 276 277-- more LHS swaps [were fixed] 278ddsub390 subtract '-56267E-10' 0 -> '-0.0000056267' 279ddsub391 subtract '-56267E-6' 0 -> '-0.056267' 280ddsub392 subtract '-56267E-5' 0 -> '-0.56267' 281ddsub393 subtract '-56267E-4' 0 -> '-5.6267' 282ddsub394 subtract '-56267E-3' 0 -> '-56.267' 283ddsub395 subtract '-56267E-2' 0 -> '-562.67' 284ddsub396 subtract '-56267E-1' 0 -> '-5626.7' 285ddsub397 subtract '-56267E-0' 0 -> '-56267' 286ddsub398 subtract '-5E-10' 0 -> '-5E-10' 287ddsub399 subtract '-5E-7' 0 -> '-5E-7' 288ddsub400 subtract '-5E-6' 0 -> '-0.000005' 289ddsub401 subtract '-5E-5' 0 -> '-0.00005' 290ddsub402 subtract '-5E-4' 0 -> '-0.0005' 291ddsub403 subtract '-5E-1' 0 -> '-0.5' 292ddsub404 subtract '-5E0' 0 -> '-5' 293ddsub405 subtract '-5E1' 0 -> '-50' 294ddsub406 subtract '-5E5' 0 -> '-500000' 295ddsub407 subtract '-5E15' 0 -> '-5000000000000000' 296ddsub408 subtract '-5E16' 0 -> '-5.000000000000000E+16' Rounded 297ddsub409 subtract '-5E17' 0 -> '-5.000000000000000E+17' Rounded 298ddsub410 subtract '-5E18' 0 -> '-5.000000000000000E+18' Rounded 299ddsub411 subtract '-5E100' 0 -> '-5.000000000000000E+100' Rounded 300 301-- more RHS swaps [were fixed] 302ddsub420 subtract 0 '-56267E-10' -> '0.0000056267' 303ddsub421 subtract 0 '-56267E-6' -> '0.056267' 304ddsub422 subtract 0 '-56267E-5' -> '0.56267' 305ddsub423 subtract 0 '-56267E-4' -> '5.6267' 306ddsub424 subtract 0 '-56267E-3' -> '56.267' 307ddsub425 subtract 0 '-56267E-2' -> '562.67' 308ddsub426 subtract 0 '-56267E-1' -> '5626.7' 309ddsub427 subtract 0 '-56267E-0' -> '56267' 310ddsub428 subtract 0 '-5E-10' -> '5E-10' 311ddsub429 subtract 0 '-5E-7' -> '5E-7' 312ddsub430 subtract 0 '-5E-6' -> '0.000005' 313ddsub431 subtract 0 '-5E-5' -> '0.00005' 314ddsub432 subtract 0 '-5E-4' -> '0.0005' 315ddsub433 subtract 0 '-5E-1' -> '0.5' 316ddsub434 subtract 0 '-5E0' -> '5' 317ddsub435 subtract 0 '-5E1' -> '50' 318ddsub436 subtract 0 '-5E5' -> '500000' 319ddsub437 subtract 0 '-5E15' -> '5000000000000000' 320ddsub438 subtract 0 '-5E16' -> '5.000000000000000E+16' Rounded 321ddsub439 subtract 0 '-5E17' -> '5.000000000000000E+17' Rounded 322ddsub440 subtract 0 '-5E18' -> '5.000000000000000E+18' Rounded 323ddsub441 subtract 0 '-5E100' -> '5.000000000000000E+100' Rounded 324 325 326-- try borderline precision, with carries, etc. 327ddsub461 subtract '1E+16' '1' -> '9999999999999999' 328ddsub462 subtract '1E+12' '-1.111' -> '1000000000001.111' 329ddsub463 subtract '1.111' '-1E+12' -> '1000000000001.111' 330ddsub464 subtract '-1' '-1E+16' -> '9999999999999999' 331ddsub465 subtract '7E+15' '1' -> '6999999999999999' 332ddsub466 subtract '7E+12' '-1.111' -> '7000000000001.111' 333ddsub467 subtract '1.111' '-7E+12' -> '7000000000001.111' 334ddsub468 subtract '-1' '-7E+15' -> '6999999999999999' 335 336-- 1234567890123456 1234567890123456 1 23456789012345 337ddsub470 subtract '0.4444444444444444' '-0.5555555555555563' -> '1.000000000000001' Inexact Rounded 338ddsub471 subtract '0.4444444444444444' '-0.5555555555555562' -> '1.000000000000001' Inexact Rounded 339ddsub472 subtract '0.4444444444444444' '-0.5555555555555561' -> '1.000000000000000' Inexact Rounded 340ddsub473 subtract '0.4444444444444444' '-0.5555555555555560' -> '1.000000000000000' Inexact Rounded 341ddsub474 subtract '0.4444444444444444' '-0.5555555555555559' -> '1.000000000000000' Inexact Rounded 342ddsub475 subtract '0.4444444444444444' '-0.5555555555555558' -> '1.000000000000000' Inexact Rounded 343ddsub476 subtract '0.4444444444444444' '-0.5555555555555557' -> '1.000000000000000' Inexact Rounded 344ddsub477 subtract '0.4444444444444444' '-0.5555555555555556' -> '1.000000000000000' Rounded 345ddsub478 subtract '0.4444444444444444' '-0.5555555555555555' -> '0.9999999999999999' 346ddsub479 subtract '0.4444444444444444' '-0.5555555555555554' -> '0.9999999999999998' 347ddsub480 subtract '0.4444444444444444' '-0.5555555555555553' -> '0.9999999999999997' 348ddsub481 subtract '0.4444444444444444' '-0.5555555555555552' -> '0.9999999999999996' 349ddsub482 subtract '0.4444444444444444' '-0.5555555555555551' -> '0.9999999999999995' 350ddsub483 subtract '0.4444444444444444' '-0.5555555555555550' -> '0.9999999999999994' 351 352-- and some more, including residue effects and different roundings 353rounding: half_up 354ddsub500 subtract '1231234567456789' 0 -> '1231234567456789' 355ddsub501 subtract '1231234567456789' 0.000000001 -> '1231234567456789' Inexact Rounded 356ddsub502 subtract '1231234567456789' 0.000001 -> '1231234567456789' Inexact Rounded 357ddsub503 subtract '1231234567456789' 0.1 -> '1231234567456789' Inexact Rounded 358ddsub504 subtract '1231234567456789' 0.4 -> '1231234567456789' Inexact Rounded 359ddsub505 subtract '1231234567456789' 0.49 -> '1231234567456789' Inexact Rounded 360ddsub506 subtract '1231234567456789' 0.499999 -> '1231234567456789' Inexact Rounded 361ddsub507 subtract '1231234567456789' 0.499999999 -> '1231234567456789' Inexact Rounded 362ddsub508 subtract '1231234567456789' 0.5 -> '1231234567456789' Inexact Rounded 363ddsub509 subtract '1231234567456789' 0.500000001 -> '1231234567456788' Inexact Rounded 364ddsub510 subtract '1231234567456789' 0.500001 -> '1231234567456788' Inexact Rounded 365ddsub511 subtract '1231234567456789' 0.51 -> '1231234567456788' Inexact Rounded 366ddsub512 subtract '1231234567456789' 0.6 -> '1231234567456788' Inexact Rounded 367ddsub513 subtract '1231234567456789' 0.9 -> '1231234567456788' Inexact Rounded 368ddsub514 subtract '1231234567456789' 0.99999 -> '1231234567456788' Inexact Rounded 369ddsub515 subtract '1231234567456789' 0.999999999 -> '1231234567456788' Inexact Rounded 370ddsub516 subtract '1231234567456789' 1 -> '1231234567456788' 371ddsub517 subtract '1231234567456789' 1.000000001 -> '1231234567456788' Inexact Rounded 372ddsub518 subtract '1231234567456789' 1.00001 -> '1231234567456788' Inexact Rounded 373ddsub519 subtract '1231234567456789' 1.1 -> '1231234567456788' Inexact Rounded 374 375rounding: half_even 376ddsub520 subtract '1231234567456789' 0 -> '1231234567456789' 377ddsub521 subtract '1231234567456789' 0.000000001 -> '1231234567456789' Inexact Rounded 378ddsub522 subtract '1231234567456789' 0.000001 -> '1231234567456789' Inexact Rounded 379ddsub523 subtract '1231234567456789' 0.1 -> '1231234567456789' Inexact Rounded 380ddsub524 subtract '1231234567456789' 0.4 -> '1231234567456789' Inexact Rounded 381ddsub525 subtract '1231234567456789' 0.49 -> '1231234567456789' Inexact Rounded 382ddsub526 subtract '1231234567456789' 0.499999 -> '1231234567456789' Inexact Rounded 383ddsub527 subtract '1231234567456789' 0.499999999 -> '1231234567456789' Inexact Rounded 384ddsub528 subtract '1231234567456789' 0.5 -> '1231234567456788' Inexact Rounded 385ddsub529 subtract '1231234567456789' 0.500000001 -> '1231234567456788' Inexact Rounded 386ddsub530 subtract '1231234567456789' 0.500001 -> '1231234567456788' Inexact Rounded 387ddsub531 subtract '1231234567456789' 0.51 -> '1231234567456788' Inexact Rounded 388ddsub532 subtract '1231234567456789' 0.6 -> '1231234567456788' Inexact Rounded 389ddsub533 subtract '1231234567456789' 0.9 -> '1231234567456788' Inexact Rounded 390ddsub534 subtract '1231234567456789' 0.99999 -> '1231234567456788' Inexact Rounded 391ddsub535 subtract '1231234567456789' 0.999999999 -> '1231234567456788' Inexact Rounded 392ddsub536 subtract '1231234567456789' 1 -> '1231234567456788' 393ddsub537 subtract '1231234567456789' 1.00000001 -> '1231234567456788' Inexact Rounded 394ddsub538 subtract '1231234567456789' 1.00001 -> '1231234567456788' Inexact Rounded 395ddsub539 subtract '1231234567456789' 1.1 -> '1231234567456788' Inexact Rounded 396-- critical few with even bottom digit... 397ddsub540 subtract '1231234567456788' 0.499999999 -> '1231234567456788' Inexact Rounded 398ddsub541 subtract '1231234567456788' 0.5 -> '1231234567456788' Inexact Rounded 399ddsub542 subtract '1231234567456788' 0.500000001 -> '1231234567456787' Inexact Rounded 400 401rounding: down 402ddsub550 subtract '1231234567456789' 0 -> '1231234567456789' 403ddsub551 subtract '1231234567456789' 0.000000001 -> '1231234567456788' Inexact Rounded 404ddsub552 subtract '1231234567456789' 0.000001 -> '1231234567456788' Inexact Rounded 405ddsub553 subtract '1231234567456789' 0.1 -> '1231234567456788' Inexact Rounded 406ddsub554 subtract '1231234567456789' 0.4 -> '1231234567456788' Inexact Rounded 407ddsub555 subtract '1231234567456789' 0.49 -> '1231234567456788' Inexact Rounded 408ddsub556 subtract '1231234567456789' 0.499999 -> '1231234567456788' Inexact Rounded 409ddsub557 subtract '1231234567456789' 0.499999999 -> '1231234567456788' Inexact Rounded 410ddsub558 subtract '1231234567456789' 0.5 -> '1231234567456788' Inexact Rounded 411ddsub559 subtract '1231234567456789' 0.500000001 -> '1231234567456788' Inexact Rounded 412ddsub560 subtract '1231234567456789' 0.500001 -> '1231234567456788' Inexact Rounded 413ddsub561 subtract '1231234567456789' 0.51 -> '1231234567456788' Inexact Rounded 414ddsub562 subtract '1231234567456789' 0.6 -> '1231234567456788' Inexact Rounded 415ddsub563 subtract '1231234567456789' 0.9 -> '1231234567456788' Inexact Rounded 416ddsub564 subtract '1231234567456789' 0.99999 -> '1231234567456788' Inexact Rounded 417ddsub565 subtract '1231234567456789' 0.999999999 -> '1231234567456788' Inexact Rounded 418ddsub566 subtract '1231234567456789' 1 -> '1231234567456788' 419ddsub567 subtract '1231234567456789' 1.00000001 -> '1231234567456787' Inexact Rounded 420ddsub568 subtract '1231234567456789' 1.00001 -> '1231234567456787' Inexact Rounded 421ddsub569 subtract '1231234567456789' 1.1 -> '1231234567456787' Inexact Rounded 422 423-- symmetry... 424rounding: half_up 425ddsub600 subtract 0 '1231234567456789' -> '-1231234567456789' 426ddsub601 subtract 0.000000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded 427ddsub602 subtract 0.000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded 428ddsub603 subtract 0.1 '1231234567456789' -> '-1231234567456789' Inexact Rounded 429ddsub604 subtract 0.4 '1231234567456789' -> '-1231234567456789' Inexact Rounded 430ddsub605 subtract 0.49 '1231234567456789' -> '-1231234567456789' Inexact Rounded 431ddsub606 subtract 0.499999 '1231234567456789' -> '-1231234567456789' Inexact Rounded 432ddsub607 subtract 0.499999999 '1231234567456789' -> '-1231234567456789' Inexact Rounded 433ddsub608 subtract 0.5 '1231234567456789' -> '-1231234567456789' Inexact Rounded 434ddsub609 subtract 0.500000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 435ddsub610 subtract 0.500001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 436ddsub611 subtract 0.51 '1231234567456789' -> '-1231234567456788' Inexact Rounded 437ddsub612 subtract 0.6 '1231234567456789' -> '-1231234567456788' Inexact Rounded 438ddsub613 subtract 0.9 '1231234567456789' -> '-1231234567456788' Inexact Rounded 439ddsub614 subtract 0.99999 '1231234567456789' -> '-1231234567456788' Inexact Rounded 440ddsub615 subtract 0.999999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded 441ddsub616 subtract 1 '1231234567456789' -> '-1231234567456788' 442ddsub617 subtract 1.000000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 443ddsub618 subtract 1.00001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 444ddsub619 subtract 1.1 '1231234567456789' -> '-1231234567456788' Inexact Rounded 445 446rounding: half_even 447ddsub620 subtract 0 '1231234567456789' -> '-1231234567456789' 448ddsub621 subtract 0.000000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded 449ddsub622 subtract 0.000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded 450ddsub623 subtract 0.1 '1231234567456789' -> '-1231234567456789' Inexact Rounded 451ddsub624 subtract 0.4 '1231234567456789' -> '-1231234567456789' Inexact Rounded 452ddsub625 subtract 0.49 '1231234567456789' -> '-1231234567456789' Inexact Rounded 453ddsub626 subtract 0.499999 '1231234567456789' -> '-1231234567456789' Inexact Rounded 454ddsub627 subtract 0.499999999 '1231234567456789' -> '-1231234567456789' Inexact Rounded 455ddsub628 subtract 0.5 '1231234567456789' -> '-1231234567456788' Inexact Rounded 456ddsub629 subtract 0.500000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 457ddsub630 subtract 0.500001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 458ddsub631 subtract 0.51 '1231234567456789' -> '-1231234567456788' Inexact Rounded 459ddsub632 subtract 0.6 '1231234567456789' -> '-1231234567456788' Inexact Rounded 460ddsub633 subtract 0.9 '1231234567456789' -> '-1231234567456788' Inexact Rounded 461ddsub634 subtract 0.99999 '1231234567456789' -> '-1231234567456788' Inexact Rounded 462ddsub635 subtract 0.999999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded 463ddsub636 subtract 1 '1231234567456789' -> '-1231234567456788' 464ddsub637 subtract 1.00000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 465ddsub638 subtract 1.00001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 466ddsub639 subtract 1.1 '1231234567456789' -> '-1231234567456788' Inexact Rounded 467-- critical few with even bottom digit... 468ddsub640 subtract 0.499999999 '1231234567456788' -> '-1231234567456788' Inexact Rounded 469ddsub641 subtract 0.5 '1231234567456788' -> '-1231234567456788' Inexact Rounded 470ddsub642 subtract 0.500000001 '1231234567456788' -> '-1231234567456787' Inexact Rounded 471 472rounding: down 473ddsub650 subtract 0 '1231234567456789' -> '-1231234567456789' 474ddsub651 subtract 0.000000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 475ddsub652 subtract 0.000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 476ddsub653 subtract 0.1 '1231234567456789' -> '-1231234567456788' Inexact Rounded 477ddsub654 subtract 0.4 '1231234567456789' -> '-1231234567456788' Inexact Rounded 478ddsub655 subtract 0.49 '1231234567456789' -> '-1231234567456788' Inexact Rounded 479ddsub656 subtract 0.499999 '1231234567456789' -> '-1231234567456788' Inexact Rounded 480ddsub657 subtract 0.499999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded 481ddsub658 subtract 0.5 '1231234567456789' -> '-1231234567456788' Inexact Rounded 482ddsub659 subtract 0.500000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 483ddsub660 subtract 0.500001 '1231234567456789' -> '-1231234567456788' Inexact Rounded 484ddsub661 subtract 0.51 '1231234567456789' -> '-1231234567456788' Inexact Rounded 485ddsub662 subtract 0.6 '1231234567456789' -> '-1231234567456788' Inexact Rounded 486ddsub663 subtract 0.9 '1231234567456789' -> '-1231234567456788' Inexact Rounded 487ddsub664 subtract 0.99999 '1231234567456789' -> '-1231234567456788' Inexact Rounded 488ddsub665 subtract 0.999999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded 489ddsub666 subtract 1 '1231234567456789' -> '-1231234567456788' 490ddsub667 subtract 1.00000001 '1231234567456789' -> '-1231234567456787' Inexact Rounded 491ddsub668 subtract 1.00001 '1231234567456789' -> '-1231234567456787' Inexact Rounded 492ddsub669 subtract 1.1 '1231234567456789' -> '-1231234567456787' Inexact Rounded 493 494 495-- lots of leading zeros in intermediate result, and showing effects of 496-- input rounding would have affected the following 497rounding: half_up 498ddsub670 subtract '1234567456789' '1234567456788.1' -> 0.9 499ddsub671 subtract '1234567456789' '1234567456788.9' -> 0.1 500ddsub672 subtract '1234567456789' '1234567456789.1' -> -0.1 501ddsub673 subtract '1234567456789' '1234567456789.5' -> -0.5 502ddsub674 subtract '1234567456789' '1234567456789.9' -> -0.9 503 504rounding: half_even 505ddsub680 subtract '1234567456789' '1234567456788.1' -> 0.9 506ddsub681 subtract '1234567456789' '1234567456788.9' -> 0.1 507ddsub682 subtract '1234567456789' '1234567456789.1' -> -0.1 508ddsub683 subtract '1234567456789' '1234567456789.5' -> -0.5 509ddsub684 subtract '1234567456789' '1234567456789.9' -> -0.9 510 511ddsub685 subtract '1234567456788' '1234567456787.1' -> 0.9 512ddsub686 subtract '1234567456788' '1234567456787.9' -> 0.1 513ddsub687 subtract '1234567456788' '1234567456788.1' -> -0.1 514ddsub688 subtract '1234567456788' '1234567456788.5' -> -0.5 515ddsub689 subtract '1234567456788' '1234567456788.9' -> -0.9 516 517rounding: down 518ddsub690 subtract '1234567456789' '1234567456788.1' -> 0.9 519ddsub691 subtract '1234567456789' '1234567456788.9' -> 0.1 520ddsub692 subtract '1234567456789' '1234567456789.1' -> -0.1 521ddsub693 subtract '1234567456789' '1234567456789.5' -> -0.5 522ddsub694 subtract '1234567456789' '1234567456789.9' -> -0.9 523 524-- Specials 525ddsub780 subtract -Inf Inf -> -Infinity 526ddsub781 subtract -Inf 1000 -> -Infinity 527ddsub782 subtract -Inf 1 -> -Infinity 528ddsub783 subtract -Inf -0 -> -Infinity 529ddsub784 subtract -Inf -1 -> -Infinity 530ddsub785 subtract -Inf -1000 -> -Infinity 531ddsub787 subtract -1000 Inf -> -Infinity 532ddsub788 subtract -Inf Inf -> -Infinity 533ddsub789 subtract -1 Inf -> -Infinity 534ddsub790 subtract 0 Inf -> -Infinity 535ddsub791 subtract 1 Inf -> -Infinity 536ddsub792 subtract 1000 Inf -> -Infinity 537 538ddsub800 subtract Inf Inf -> NaN Invalid_operation 539ddsub801 subtract Inf 1000 -> Infinity 540ddsub802 subtract Inf 1 -> Infinity 541ddsub803 subtract Inf 0 -> Infinity 542ddsub804 subtract Inf -0 -> Infinity 543ddsub805 subtract Inf -1 -> Infinity 544ddsub806 subtract Inf -1000 -> Infinity 545ddsub807 subtract Inf -Inf -> Infinity 546ddsub808 subtract -1000 -Inf -> Infinity 547ddsub809 subtract -Inf -Inf -> NaN Invalid_operation 548ddsub810 subtract -1 -Inf -> Infinity 549ddsub811 subtract -0 -Inf -> Infinity 550ddsub812 subtract 0 -Inf -> Infinity 551ddsub813 subtract 1 -Inf -> Infinity 552ddsub814 subtract 1000 -Inf -> Infinity 553ddsub815 subtract Inf -Inf -> Infinity 554 555ddsub821 subtract NaN Inf -> NaN 556ddsub822 subtract -NaN 1000 -> -NaN 557ddsub823 subtract NaN 1 -> NaN 558ddsub824 subtract NaN 0 -> NaN 559ddsub825 subtract NaN -0 -> NaN 560ddsub826 subtract NaN -1 -> NaN 561ddsub827 subtract NaN -1000 -> NaN 562ddsub828 subtract NaN -Inf -> NaN 563ddsub829 subtract -NaN NaN -> -NaN 564ddsub830 subtract -Inf NaN -> NaN 565ddsub831 subtract -1000 NaN -> NaN 566ddsub832 subtract -1 NaN -> NaN 567ddsub833 subtract -0 NaN -> NaN 568ddsub834 subtract 0 NaN -> NaN 569ddsub835 subtract 1 NaN -> NaN 570ddsub836 subtract 1000 -NaN -> -NaN 571ddsub837 subtract Inf NaN -> NaN 572 573ddsub841 subtract sNaN Inf -> NaN Invalid_operation 574ddsub842 subtract -sNaN 1000 -> -NaN Invalid_operation 575ddsub843 subtract sNaN 1 -> NaN Invalid_operation 576ddsub844 subtract sNaN 0 -> NaN Invalid_operation 577ddsub845 subtract sNaN -0 -> NaN Invalid_operation 578ddsub846 subtract sNaN -1 -> NaN Invalid_operation 579ddsub847 subtract sNaN -1000 -> NaN Invalid_operation 580ddsub848 subtract sNaN NaN -> NaN Invalid_operation 581ddsub849 subtract sNaN sNaN -> NaN Invalid_operation 582ddsub850 subtract NaN sNaN -> NaN Invalid_operation 583ddsub851 subtract -Inf -sNaN -> -NaN Invalid_operation 584ddsub852 subtract -1000 sNaN -> NaN Invalid_operation 585ddsub853 subtract -1 sNaN -> NaN Invalid_operation 586ddsub854 subtract -0 sNaN -> NaN Invalid_operation 587ddsub855 subtract 0 sNaN -> NaN Invalid_operation 588ddsub856 subtract 1 sNaN -> NaN Invalid_operation 589ddsub857 subtract 1000 sNaN -> NaN Invalid_operation 590ddsub858 subtract Inf sNaN -> NaN Invalid_operation 591ddsub859 subtract NaN sNaN -> NaN Invalid_operation 592 593-- propagating NaNs 594ddsub861 subtract NaN01 -Inf -> NaN1 595ddsub862 subtract -NaN02 -1000 -> -NaN2 596ddsub863 subtract NaN03 1000 -> NaN3 597ddsub864 subtract NaN04 Inf -> NaN4 598ddsub865 subtract NaN05 NaN61 -> NaN5 599ddsub866 subtract -Inf -NaN71 -> -NaN71 600ddsub867 subtract -1000 NaN81 -> NaN81 601ddsub868 subtract 1000 NaN91 -> NaN91 602ddsub869 subtract Inf NaN101 -> NaN101 603ddsub871 subtract sNaN011 -Inf -> NaN11 Invalid_operation 604ddsub872 subtract sNaN012 -1000 -> NaN12 Invalid_operation 605ddsub873 subtract -sNaN013 1000 -> -NaN13 Invalid_operation 606ddsub874 subtract sNaN014 NaN171 -> NaN14 Invalid_operation 607ddsub875 subtract sNaN015 sNaN181 -> NaN15 Invalid_operation 608ddsub876 subtract NaN016 sNaN191 -> NaN191 Invalid_operation 609ddsub877 subtract -Inf sNaN201 -> NaN201 Invalid_operation 610ddsub878 subtract -1000 sNaN211 -> NaN211 Invalid_operation 611ddsub879 subtract 1000 -sNaN221 -> -NaN221 Invalid_operation 612ddsub880 subtract Inf sNaN231 -> NaN231 Invalid_operation 613ddsub881 subtract NaN025 sNaN241 -> NaN241 Invalid_operation 614 615-- edge case spills 616ddsub901 subtract 2.E-3 1.002 -> -1.000 617ddsub902 subtract 2.0E-3 1.002 -> -1.0000 618ddsub903 subtract 2.00E-3 1.0020 -> -1.00000 619ddsub904 subtract 2.000E-3 1.00200 -> -1.000000 620ddsub905 subtract 2.0000E-3 1.002000 -> -1.0000000 621ddsub906 subtract 2.00000E-3 1.0020000 -> -1.00000000 622ddsub907 subtract 2.000000E-3 1.00200000 -> -1.000000000 623ddsub908 subtract 2.0000000E-3 1.002000000 -> -1.0000000000 624 625-- subnormals and overflows covered under Add 626 627-- Null tests 628ddsub9990 subtract 10 # -> NaN Invalid_operation 629ddsub9991 subtract # 10 -> NaN Invalid_operation 630