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