projects / OpenSPARC-T2-DV / blame
| Commit | Line | Data |
|---|---|---|
| 86530b38 AT |
1 | ------------------------------------------------------------------------ |
| 2 | -- remainder.decTest -- decimal remainder -- | |
| 3 | -- Copyright (c) IBM Corporation, 1981, 2004. 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 | ------------------------------------------------------------------------ | |
| 20 | version: 2.39 | |
| 21 | ||
| 22 | extended: 1 | |
| 23 | precision: 9 | |
| 24 | rounding: half_up | |
| 25 | maxExponent: 384 | |
| 26 | minexponent: -383 | |
| 27 | ||
| 28 | -- sanity checks (as base, above) | |
| 29 | remx001 remainder 1 1 -> 0 | |
| 30 | remx002 remainder 2 1 -> 0 | |
| 31 | remx003 remainder 1 2 -> 1 | |
| 32 | remx004 remainder 2 2 -> 0 | |
| 33 | remx005 remainder 0 1 -> 0 | |
| 34 | remx006 remainder 0 2 -> 0 | |
| 35 | remx007 remainder 1 3 -> 1 | |
| 36 | remx008 remainder 2 3 -> 2 | |
| 37 | remx009 remainder 3 3 -> 0 | |
| 38 | ||
| 39 | remx010 remainder 2.4 1 -> 0.4 | |
| 40 | remx011 remainder 2.4 -1 -> 0.4 | |
| 41 | remx012 remainder -2.4 1 -> -0.4 | |
| 42 | remx013 remainder -2.4 -1 -> -0.4 | |
| 43 | remx014 remainder 2.40 1 -> 0.40 | |
| 44 | remx015 remainder 2.400 1 -> 0.400 | |
| 45 | remx016 remainder 2.4 2 -> 0.4 | |
| 46 | remx017 remainder 2.400 2 -> 0.400 | |
| 47 | remx018 remainder 2. 2 -> 0 | |
| 48 | remx019 remainder 20 20 -> 0 | |
| 49 | ||
| 50 | remx020 remainder 187 187 -> 0 | |
| 51 | remx021 remainder 5 2 -> 1 | |
| 52 | remx022 remainder 5 2.0 -> 1.0 | |
| 53 | remx023 remainder 5 2.000 -> 1.000 | |
| 54 | remx024 remainder 5 0.200 -> 0.000 | |
| 55 | remx025 remainder 5 0.200 -> 0.000 | |
| 56 | ||
| 57 | remx030 remainder 1 2 -> 1 | |
| 58 | remx031 remainder 1 4 -> 1 | |
| 59 | remx032 remainder 1 8 -> 1 | |
| 60 | ||
| 61 | remx033 remainder 1 16 -> 1 | |
| 62 | remx034 remainder 1 32 -> 1 | |
| 63 | remx035 remainder 1 64 -> 1 | |
| 64 | remx040 remainder 1 -2 -> 1 | |
| 65 | remx041 remainder 1 -4 -> 1 | |
| 66 | remx042 remainder 1 -8 -> 1 | |
| 67 | remx043 remainder 1 -16 -> 1 | |
| 68 | remx044 remainder 1 -32 -> 1 | |
| 69 | remx045 remainder 1 -64 -> 1 | |
| 70 | remx050 remainder -1 2 -> -1 | |
| 71 | remx051 remainder -1 4 -> -1 | |
| 72 | remx052 remainder -1 8 -> -1 | |
| 73 | remx053 remainder -1 16 -> -1 | |
| 74 | remx054 remainder -1 32 -> -1 | |
| 75 | remx055 remainder -1 64 -> -1 | |
| 76 | remx060 remainder -1 -2 -> -1 | |
| 77 | remx061 remainder -1 -4 -> -1 | |
| 78 | remx062 remainder -1 -8 -> -1 | |
| 79 | remx063 remainder -1 -16 -> -1 | |
| 80 | remx064 remainder -1 -32 -> -1 | |
| 81 | remx065 remainder -1 -64 -> -1 | |
| 82 | ||
| 83 | remx066 remainder 999999999 1 -> 0 | |
| 84 | remx067 remainder 999999999.4 1 -> 0.4 | |
| 85 | remx068 remainder 999999999.5 1 -> 0.5 | |
| 86 | remx069 remainder 999999999.9 1 -> 0.9 | |
| 87 | remx070 remainder 999999999.999 1 -> 0.999 | |
| 88 | precision: 6 | |
| 89 | remx071 remainder 999999999 1 -> NaN Division_impossible | |
| 90 | remx072 remainder 99999999 1 -> NaN Division_impossible | |
| 91 | remx073 remainder 9999999 1 -> NaN Division_impossible | |
| 92 | remx074 remainder 999999 1 -> 0 | |
| 93 | remx075 remainder 99999 1 -> 0 | |
| 94 | remx076 remainder 9999 1 -> 0 | |
| 95 | remx077 remainder 999 1 -> 0 | |
| 96 | remx078 remainder 99 1 -> 0 | |
| 97 | remx079 remainder 9 1 -> 0 | |
| 98 | ||
| 99 | precision: 9 | |
| 100 | remx080 remainder 0. 1 -> 0 | |
| 101 | remx081 remainder .0 1 -> 0.0 | |
| 102 | remx082 remainder 0.00 1 -> 0.00 | |
| 103 | remx083 remainder 0.00E+9 1 -> 0 | |
| 104 | remx084 remainder 0.00E+3 1 -> 0 | |
| 105 | remx085 remainder 0.00E+2 1 -> 0 | |
| 106 | remx086 remainder 0.00E+1 1 -> 0.0 | |
| 107 | remx087 remainder 0.00E+0 1 -> 0.00 | |
| 108 | remx088 remainder 0.00E-0 1 -> 0.00 | |
| 109 | remx089 remainder 0.00E-1 1 -> 0.000 | |
| 110 | remx090 remainder 0.00E-2 1 -> 0.0000 | |
| 111 | remx091 remainder 0.00E-3 1 -> 0.00000 | |
| 112 | remx092 remainder 0.00E-4 1 -> 0.000000 | |
| 113 | remx093 remainder 0.00E-5 1 -> 0E-7 | |
| 114 | remx094 remainder 0.00E-6 1 -> 0E-8 | |
| 115 | remx095 remainder 0.0000E-50 1 -> 0E-54 | |
| 116 | ||
| 117 | -- Various flavours of remainder by 0 | |
| 118 | precision: 9 | |
| 119 | maxexponent: 999999999 | |
| 120 | minexponent: -999999999 | |
| 121 | remx101 remainder 0 0 -> NaN Division_undefined | |
| 122 | remx102 remainder 0 -0 -> NaN Division_undefined | |
| 123 | remx103 remainder -0 0 -> NaN Division_undefined | |
| 124 | remx104 remainder -0 -0 -> NaN Division_undefined | |
| 125 | remx105 remainder 0.0E5 0 -> NaN Division_undefined | |
| 126 | remx106 remainder 0.000 0 -> NaN Division_undefined | |
| 127 | -- [Some think this next group should be Division_by_zero exception, but | |
| 128 | -- IEEE 854 is explicit that it is Invalid operation .. for | |
| 129 | -- remainder-near, anyway] | |
| 130 | remx107 remainder 0.0001 0 -> NaN Invalid_operation | |
| 131 | remx108 remainder 0.01 0 -> NaN Invalid_operation | |
| 132 | remx109 remainder 0.1 0 -> NaN Invalid_operation | |
| 133 | remx110 remainder 1 0 -> NaN Invalid_operation | |
| 134 | remx111 remainder 1 0.0 -> NaN Invalid_operation | |
| 135 | remx112 remainder 10 0.0 -> NaN Invalid_operation | |
| 136 | remx113 remainder 1E+100 0.0 -> NaN Invalid_operation | |
| 137 | remx114 remainder 1E+1000 0 -> NaN Invalid_operation | |
| 138 | remx115 remainder 0.0001 -0 -> NaN Invalid_operation | |
| 139 | remx116 remainder 0.01 -0 -> NaN Invalid_operation | |
| 140 | remx119 remainder 0.1 -0 -> NaN Invalid_operation | |
| 141 | remx120 remainder 1 -0 -> NaN Invalid_operation | |
| 142 | remx121 remainder 1 -0.0 -> NaN Invalid_operation | |
| 143 | remx122 remainder 10 -0.0 -> NaN Invalid_operation | |
| 144 | remx123 remainder 1E+100 -0.0 -> NaN Invalid_operation | |
| 145 | remx124 remainder 1E+1000 -0 -> NaN Invalid_operation | |
| 146 | -- and zeros on left | |
| 147 | remx130 remainder 0 1 -> 0 | |
| 148 | remx131 remainder 0 -1 -> 0 | |
| 149 | remx132 remainder 0.0 1 -> 0.0 | |
| 150 | remx133 remainder 0.0 -1 -> 0.0 | |
| 151 | remx134 remainder -0 1 -> -0 | |
| 152 | remx135 remainder -0 -1 -> -0 | |
| 153 | remx136 remainder -0.0 1 -> -0.0 | |
| 154 | remx137 remainder -0.0 -1 -> -0.0 | |
| 155 | ||
| 156 | -- 0.5ers | |
| 157 | remx143 remainder 0.5 2 -> 0.5 | |
| 158 | remx144 remainder 0.5 2.1 -> 0.5 | |
| 159 | remx145 remainder 0.5 2.01 -> 0.50 | |
| 160 | remx146 remainder 0.5 2.001 -> 0.500 | |
| 161 | remx147 remainder 0.50 2 -> 0.50 | |
| 162 | remx148 remainder 0.50 2.01 -> 0.50 | |
| 163 | remx149 remainder 0.50 2.001 -> 0.500 | |
| 164 | ||
| 165 | -- steadies | |
| 166 | remx150 remainder 1 1 -> 0 | |
| 167 | remx151 remainder 1 2 -> 1 | |
| 168 | remx152 remainder 1 3 -> 1 | |
| 169 | remx153 remainder 1 4 -> 1 | |
| 170 | remx154 remainder 1 5 -> 1 | |
| 171 | remx155 remainder 1 6 -> 1 | |
| 172 | remx156 remainder 1 7 -> 1 | |
| 173 | remx157 remainder 1 8 -> 1 | |
| 174 | remx158 remainder 1 9 -> 1 | |
| 175 | remx159 remainder 1 10 -> 1 | |
| 176 | remx160 remainder 1 1 -> 0 | |
| 177 | remx161 remainder 2 1 -> 0 | |
| 178 | remx162 remainder 3 1 -> 0 | |
| 179 | remx163 remainder 4 1 -> 0 | |
| 180 | remx164 remainder 5 1 -> 0 | |
| 181 | remx165 remainder 6 1 -> 0 | |
| 182 | remx166 remainder 7 1 -> 0 | |
| 183 | remx167 remainder 8 1 -> 0 | |
| 184 | remx168 remainder 9 1 -> 0 | |
| 185 | remx169 remainder 10 1 -> 0 | |
| 186 | ||
| 187 | -- some differences from remainderNear | |
| 188 | remx171 remainder 0.4 1.020 -> 0.400 | |
| 189 | remx172 remainder 0.50 1.020 -> 0.500 | |
| 190 | remx173 remainder 0.51 1.020 -> 0.510 | |
| 191 | remx174 remainder 0.52 1.020 -> 0.520 | |
| 192 | remx175 remainder 0.6 1.020 -> 0.600 | |
| 193 | ||
| 194 | ||
| 195 | -- More flavours of remainder by 0 | |
| 196 | maxexponent: 999999999 | |
| 197 | minexponent: -999999999 | |
| 198 | remx201 remainder 0 0 -> NaN Division_undefined | |
| 199 | remx202 remainder 0.0E5 0 -> NaN Division_undefined | |
| 200 | remx203 remainder 0.000 0 -> NaN Division_undefined | |
| 201 | remx204 remainder 0.0001 0 -> NaN Invalid_operation | |
| 202 | remx205 remainder 0.01 0 -> NaN Invalid_operation | |
| 203 | remx206 remainder 0.1 0 -> NaN Invalid_operation | |
| 204 | remx207 remainder 1 0 -> NaN Invalid_operation | |
| 205 | remx208 remainder 1 0.0 -> NaN Invalid_operation | |
| 206 | remx209 remainder 10 0.0 -> NaN Invalid_operation | |
| 207 | remx210 remainder 1E+100 0.0 -> NaN Invalid_operation | |
| 208 | remx211 remainder 1E+1000 0 -> NaN Invalid_operation | |
| 209 | ||
| 210 | -- some differences from remainderNear | |
| 211 | remx231 remainder -0.4 1.020 -> -0.400 | |
| 212 | remx232 remainder -0.50 1.020 -> -0.500 | |
| 213 | remx233 remainder -0.51 1.020 -> -0.510 | |
| 214 | remx234 remainder -0.52 1.020 -> -0.520 | |
| 215 | remx235 remainder -0.6 1.020 -> -0.600 | |
| 216 | ||
| 217 | -- high Xs | |
| 218 | remx240 remainder 1E+2 1.00 -> 0.00 | |
| 219 | ||
| 220 | ||
| 221 | -- test some cases that are close to exponent overflow | |
| 222 | maxexponent: 999999999 | |
| 223 | minexponent: -999999999 | |
| 224 | remx270 remainder 1 1e999999999 -> 1 | |
| 225 | remx271 remainder 1 0.9e999999999 -> 1 | |
| 226 | remx272 remainder 1 0.99e999999999 -> 1 | |
| 227 | remx273 remainder 1 0.999999999e999999999 -> 1 | |
| 228 | remx274 remainder 9e999999999 1 -> NaN Division_impossible | |
| 229 | remx275 remainder 9.9e999999999 1 -> NaN Division_impossible | |
| 230 | remx276 remainder 9.99e999999999 1 -> NaN Division_impossible | |
| 231 | remx277 remainder 9.99999999e999999999 1 -> NaN Division_impossible | |
| 232 | ||
| 233 | remx280 remainder 0.1 9e-999999999 -> NaN Division_impossible | |
| 234 | remx281 remainder 0.1 99e-999999999 -> NaN Division_impossible | |
| 235 | remx282 remainder 0.1 999e-999999999 -> NaN Division_impossible | |
| 236 | ||
| 237 | remx283 remainder 0.1 9e-999999998 -> NaN Division_impossible | |
| 238 | remx284 remainder 0.1 99e-999999998 -> NaN Division_impossible | |
| 239 | remx285 remainder 0.1 999e-999999998 -> NaN Division_impossible | |
| 240 | remx286 remainder 0.1 999e-999999997 -> NaN Division_impossible | |
| 241 | remx287 remainder 0.1 9999e-999999997 -> NaN Division_impossible | |
| 242 | remx288 remainder 0.1 99999e-999999997 -> NaN Division_impossible | |
| 243 | ||
| 244 | -- remx3xx are from DiagBigDecimal | |
| 245 | remx301 remainder 1 3 -> 1 | |
| 246 | remx302 remainder 5 5 -> 0 | |
| 247 | remx303 remainder 13 10 -> 3 | |
| 248 | remx304 remainder 13 50 -> 13 | |
| 249 | remx305 remainder 13 100 -> 13 | |
| 250 | remx306 remainder 13 1000 -> 13 | |
| 251 | remx307 remainder .13 1 -> 0.13 | |
| 252 | remx308 remainder 0.133 1 -> 0.133 | |
| 253 | remx309 remainder 0.1033 1 -> 0.1033 | |
| 254 | remx310 remainder 1.033 1 -> 0.033 | |
| 255 | remx311 remainder 10.33 1 -> 0.33 | |
| 256 | remx312 remainder 10.33 10 -> 0.33 | |
| 257 | remx313 remainder 103.3 1 -> 0.3 | |
| 258 | remx314 remainder 133 10 -> 3 | |
| 259 | remx315 remainder 1033 10 -> 3 | |
| 260 | remx316 remainder 1033 50 -> 33 | |
| 261 | remx317 remainder 101.0 3 -> 2.0 | |
| 262 | remx318 remainder 102.0 3 -> 0.0 | |
| 263 | remx319 remainder 103.0 3 -> 1.0 | |
| 264 | remx320 remainder 2.40 1 -> 0.40 | |
| 265 | remx321 remainder 2.400 1 -> 0.400 | |
| 266 | remx322 remainder 2.4 1 -> 0.4 | |
| 267 | remx323 remainder 2.4 2 -> 0.4 | |
| 268 | remx324 remainder 2.400 2 -> 0.400 | |
| 269 | remx325 remainder 1 0.3 -> 0.1 | |
| 270 | remx326 remainder 1 0.30 -> 0.10 | |
| 271 | remx327 remainder 1 0.300 -> 0.100 | |
| 272 | remx328 remainder 1 0.3000 -> 0.1000 | |
| 273 | remx329 remainder 1.0 0.3 -> 0.1 | |
| 274 | remx330 remainder 1.00 0.3 -> 0.10 | |
| 275 | remx331 remainder 1.000 0.3 -> 0.100 | |
| 276 | remx332 remainder 1.0000 0.3 -> 0.1000 | |
| 277 | remx333 remainder 0.5 2 -> 0.5 | |
| 278 | remx334 remainder 0.5 2.1 -> 0.5 | |
| 279 | remx335 remainder 0.5 2.01 -> 0.50 | |
| 280 | remx336 remainder 0.5 2.001 -> 0.500 | |
| 281 | remx337 remainder 0.50 2 -> 0.50 | |
| 282 | remx338 remainder 0.50 2.01 -> 0.50 | |
| 283 | remx339 remainder 0.50 2.001 -> 0.500 | |
| 284 | ||
| 285 | remx340 remainder 0.5 0.5000001 -> 0.5000000 | |
| 286 | remx341 remainder 0.5 0.50000001 -> 0.50000000 | |
| 287 | remx342 remainder 0.5 0.500000001 -> 0.500000000 | |
| 288 | remx343 remainder 0.5 0.5000000001 -> 0.500000000 Rounded | |
| 289 | remx344 remainder 0.5 0.50000000001 -> 0.500000000 Rounded | |
| 290 | remx345 remainder 0.5 0.4999999 -> 1E-7 | |
| 291 | remx346 remainder 0.5 0.49999999 -> 1E-8 | |
| 292 | remx347 remainder 0.5 0.499999999 -> 1E-9 | |
| 293 | remx348 remainder 0.5 0.4999999999 -> 1E-10 | |
| 294 | remx349 remainder 0.5 0.49999999999 -> 1E-11 | |
| 295 | remx350 remainder 0.5 0.499999999999 -> 1E-12 | |
| 296 | ||
| 297 | remx351 remainder 0.03 7 -> 0.03 | |
| 298 | remx352 remainder 5 2 -> 1 | |
| 299 | remx353 remainder 4.1 2 -> 0.1 | |
| 300 | remx354 remainder 4.01 2 -> 0.01 | |
| 301 | remx355 remainder 4.001 2 -> 0.001 | |
| 302 | remx356 remainder 4.0001 2 -> 0.0001 | |
| 303 | remx357 remainder 4.00001 2 -> 0.00001 | |
| 304 | remx358 remainder 4.000001 2 -> 0.000001 | |
| 305 | remx359 remainder 4.0000001 2 -> 1E-7 | |
| 306 | ||
| 307 | remx360 remainder 1.2 0.7345 -> 0.4655 | |
| 308 | remx361 remainder 0.8 12 -> 0.8 | |
| 309 | remx362 remainder 0.8 0.2 -> 0.0 | |
| 310 | remx363 remainder 0.8 0.3 -> 0.2 | |
| 311 | remx364 remainder 0.800 12 -> 0.800 | |
| 312 | remx365 remainder 0.800 1.7 -> 0.800 | |
| 313 | remx366 remainder 2.400 2 -> 0.400 | |
| 314 | ||
| 315 | precision: 6 | |
| 316 | remx371 remainder 2.400 2 -> 0.400 | |
| 317 | precision: 3 | |
| 318 | -- long operand, rounded, case | |
| 319 | remx372 remainder 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded | |
| 320 | -- 12000000000000 | |
| 321 | ||
| 322 | precision: 5 | |
| 323 | remx381 remainder 12345 1 -> 0 | |
| 324 | remx382 remainder 12345 1.0001 -> 0.7657 | |
| 325 | remx383 remainder 12345 1.001 -> 0.668 | |
| 326 | remx384 remainder 12345 1.01 -> 0.78 | |
| 327 | remx385 remainder 12345 1.1 -> 0.8 | |
| 328 | remx386 remainder 12355 4 -> 3 | |
| 329 | remx387 remainder 12345 4 -> 1 | |
| 330 | remx388 remainder 12355 4.0001 -> 2.6912 | |
| 331 | remx389 remainder 12345 4.0001 -> 0.6914 | |
| 332 | remx390 remainder 12345 4.9 -> 1.9 | |
| 333 | remx391 remainder 12345 4.99 -> 4.73 | |
| 334 | remx392 remainder 12345 4.999 -> 2.469 | |
| 335 | remx393 remainder 12345 4.9999 -> 0.2469 | |
| 336 | remx394 remainder 12345 5 -> 0 | |
| 337 | remx395 remainder 12345 5.0001 -> 4.7532 | |
| 338 | remx396 remainder 12345 5.001 -> 2.532 | |
| 339 | remx397 remainder 12345 5.01 -> 0.36 | |
| 340 | remx398 remainder 12345 5.1 -> 3.0 | |
| 341 | ||
| 342 | precision: 9 | |
| 343 | -- the nasty division-by-1 cases | |
| 344 | remx401 remainder 0.5 1 -> 0.5 | |
| 345 | remx402 remainder 0.55 1 -> 0.55 | |
| 346 | remx403 remainder 0.555 1 -> 0.555 | |
| 347 | remx404 remainder 0.5555 1 -> 0.5555 | |
| 348 | remx405 remainder 0.55555 1 -> 0.55555 | |
| 349 | remx406 remainder 0.555555 1 -> 0.555555 | |
| 350 | remx407 remainder 0.5555555 1 -> 0.5555555 | |
| 351 | remx408 remainder 0.55555555 1 -> 0.55555555 | |
| 352 | remx409 remainder 0.555555555 1 -> 0.555555555 | |
| 353 | ||
| 354 | ||
| 355 | -- Specials | |
| 356 | remx680 remainder Inf -Inf -> NaN Invalid_operation | |
| 357 | remx681 remainder Inf -1000 -> NaN Invalid_operation | |
| 358 | remx682 remainder Inf -1 -> NaN Invalid_operation | |
| 359 | remx683 remainder Inf 0 -> NaN Invalid_operation | |
| 360 | remx684 remainder Inf -0 -> NaN Invalid_operation | |
| 361 | remx685 remainder Inf 1 -> NaN Invalid_operation | |
| 362 | remx686 remainder Inf 1000 -> NaN Invalid_operation | |
| 363 | remx687 remainder Inf Inf -> NaN Invalid_operation | |
| 364 | remx688 remainder -1000 Inf -> -1000 | |
| 365 | remx689 remainder -Inf Inf -> NaN Invalid_operation | |
| 366 | remx691 remainder -1 Inf -> -1 | |
| 367 | remx692 remainder 0 Inf -> 0 | |
| 368 | remx693 remainder -0 Inf -> -0 | |
| 369 | remx694 remainder 1 Inf -> 1 | |
| 370 | remx695 remainder 1000 Inf -> 1000 | |
| 371 | remx696 remainder Inf Inf -> NaN Invalid_operation | |
| 372 | ||
| 373 | remx700 remainder -Inf -Inf -> NaN Invalid_operation | |
| 374 | remx701 remainder -Inf -1000 -> NaN Invalid_operation | |
| 375 | remx702 remainder -Inf -1 -> NaN Invalid_operation | |
| 376 | remx703 remainder -Inf -0 -> NaN Invalid_operation | |
| 377 | remx704 remainder -Inf 0 -> NaN Invalid_operation | |
| 378 | remx705 remainder -Inf 1 -> NaN Invalid_operation | |
| 379 | remx706 remainder -Inf 1000 -> NaN Invalid_operation | |
| 380 | remx707 remainder -Inf Inf -> NaN Invalid_operation | |
| 381 | remx708 remainder -Inf -Inf -> NaN Invalid_operation | |
| 382 | remx709 remainder -1000 Inf -> -1000 | |
| 383 | remx710 remainder -1 -Inf -> -1 | |
| 384 | remx711 remainder -0 -Inf -> -0 | |
| 385 | remx712 remainder 0 -Inf -> 0 | |
| 386 | remx713 remainder 1 -Inf -> 1 | |
| 387 | remx714 remainder 1000 -Inf -> 1000 | |
| 388 | remx715 remainder Inf -Inf -> NaN Invalid_operation | |
| 389 | ||
| 390 | remx721 remainder NaN -Inf -> NaN | |
| 391 | remx722 remainder NaN -1000 -> NaN | |
| 392 | remx723 remainder NaN -1 -> NaN | |
| 393 | remx724 remainder NaN -0 -> NaN | |
| 394 | remx725 remainder -NaN 0 -> -NaN | |
| 395 | remx726 remainder NaN 1 -> NaN | |
| 396 | remx727 remainder NaN 1000 -> NaN | |
| 397 | remx728 remainder NaN Inf -> NaN | |
| 398 | remx729 remainder NaN -NaN -> NaN | |
| 399 | remx730 remainder -Inf NaN -> NaN | |
| 400 | remx731 remainder -1000 NaN -> NaN | |
| 401 | remx732 remainder -1 NaN -> NaN | |
| 402 | remx733 remainder -0 -NaN -> -NaN | |
| 403 | remx734 remainder 0 NaN -> NaN | |
| 404 | remx735 remainder 1 -NaN -> -NaN | |
| 405 | remx736 remainder 1000 NaN -> NaN | |
| 406 | remx737 remainder Inf NaN -> NaN | |
| 407 | ||
| 408 | remx741 remainder sNaN -Inf -> NaN Invalid_operation | |
| 409 | remx742 remainder sNaN -1000 -> NaN Invalid_operation | |
| 410 | remx743 remainder -sNaN -1 -> -NaN Invalid_operation | |
| 411 | remx744 remainder sNaN -0 -> NaN Invalid_operation | |
| 412 | remx745 remainder sNaN 0 -> NaN Invalid_operation | |
| 413 | remx746 remainder sNaN 1 -> NaN Invalid_operation | |
| 414 | remx747 remainder sNaN 1000 -> NaN Invalid_operation | |
| 415 | remx749 remainder sNaN NaN -> NaN Invalid_operation | |
| 416 | remx750 remainder sNaN sNaN -> NaN Invalid_operation | |
| 417 | remx751 remainder NaN sNaN -> NaN Invalid_operation | |
| 418 | remx752 remainder -Inf sNaN -> NaN Invalid_operation | |
| 419 | remx753 remainder -1000 sNaN -> NaN Invalid_operation | |
| 420 | remx754 remainder -1 sNaN -> NaN Invalid_operation | |
| 421 | remx755 remainder -0 sNaN -> NaN Invalid_operation | |
| 422 | remx756 remainder 0 sNaN -> NaN Invalid_operation | |
| 423 | remx757 remainder 1 sNaN -> NaN Invalid_operation | |
| 424 | remx758 remainder 1000 sNaN -> NaN Invalid_operation | |
| 425 | remx759 remainder Inf -sNaN -> -NaN Invalid_operation | |
| 426 | ||
| 427 | -- propaging NaNs | |
| 428 | remx760 remainder NaN1 NaN7 -> NaN1 | |
| 429 | remx761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation | |
| 430 | remx762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation | |
| 431 | remx763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation | |
| 432 | remx764 remainder 15 NaN11 -> NaN11 | |
| 433 | remx765 remainder NaN6 NaN12 -> NaN6 | |
| 434 | remx766 remainder Inf NaN13 -> NaN13 | |
| 435 | remx767 remainder NaN14 -Inf -> NaN14 | |
| 436 | remx768 remainder 0 NaN15 -> NaN15 | |
| 437 | remx769 remainder NaN16 -0 -> NaN16 | |
| 438 | ||
| 439 | -- test some cases that are close to exponent overflow | |
| 440 | maxexponent: 999999999 | |
| 441 | minexponent: -999999999 | |
| 442 | remx770 remainder 1 1e999999999 -> 1 | |
| 443 | remx771 remainder 1 0.9e999999999 -> 1 | |
| 444 | remx772 remainder 1 0.99e999999999 -> 1 | |
| 445 | remx773 remainder 1 0.999999999e999999999 -> 1 | |
| 446 | remx774 remainder 9e999999999 1 -> NaN Division_impossible | |
| 447 | remx775 remainder 9.9e999999999 1 -> NaN Division_impossible | |
| 448 | remx776 remainder 9.99e999999999 1 -> NaN Division_impossible | |
| 449 | remx777 remainder 9.99999999e999999999 1 -> NaN Division_impossible | |
| 450 | ||
| 451 | -- long operand checks | |
| 452 | maxexponent: 999 | |
| 453 | minexponent: -999 | |
| 454 | precision: 9 | |
| 455 | remx801 remainder 12345678000 100 -> 0 | |
| 456 | remx802 remainder 1 12345678000 -> 1 | |
| 457 | remx803 remainder 1234567800 10 -> 0 | |
| 458 | remx804 remainder 1 1234567800 -> 1 | |
| 459 | remx805 remainder 1234567890 10 -> 0 | |
| 460 | remx806 remainder 1 1234567890 -> 1 | |
| 461 | remx807 remainder 1234567891 10 -> 1 | |
| 462 | remx808 remainder 1 1234567891 -> 1 | |
| 463 | remx809 remainder 12345678901 100 -> 1 | |
| 464 | remx810 remainder 1 12345678901 -> 1 | |
| 465 | remx811 remainder 1234567896 10 -> 6 | |
| 466 | remx812 remainder 1 1234567896 -> 1 | |
| 467 | ||
| 468 | precision: 15 | |
| 469 | remx821 remainder 12345678000 100 -> 0 | |
| 470 | remx822 remainder 1 12345678000 -> 1 | |
| 471 | remx823 remainder 1234567800 10 -> 0 | |
| 472 | remx824 remainder 1 1234567800 -> 1 | |
| 473 | remx825 remainder 1234567890 10 -> 0 | |
| 474 | remx826 remainder 1 1234567890 -> 1 | |
| 475 | remx827 remainder 1234567891 10 -> 1 | |
| 476 | remx828 remainder 1 1234567891 -> 1 | |
| 477 | remx829 remainder 12345678901 100 -> 1 | |
| 478 | remx830 remainder 1 12345678901 -> 1 | |
| 479 | remx831 remainder 1234567896 10 -> 6 | |
| 480 | remx832 remainder 1 1234567896 -> 1 | |
| 481 | ||
| 482 | -- worries from divideint | |
| 483 | precision: 8 | |
| 484 | remx840 remainder 100000000.0 1 -> NaN Division_impossible | |
| 485 | remx841 remainder 100000000.4 1 -> NaN Division_impossible | |
| 486 | remx842 remainder 100000000.5 1 -> NaN Division_impossible | |
| 487 | remx843 remainder 100000000.9 1 -> NaN Division_impossible | |
| 488 | remx844 remainder 100000000.999 1 -> NaN Division_impossible | |
| 489 | precision: 6 | |
| 490 | remx850 remainder 100000003 5 -> NaN Division_impossible | |
| 491 | remx851 remainder 10000003 5 -> NaN Division_impossible | |
| 492 | remx852 remainder 1000003 5 -> 3 | |
| 493 | remx853 remainder 100003 5 -> 3 | |
| 494 | remx854 remainder 10003 5 -> 3 | |
| 495 | remx855 remainder 1003 5 -> 3 | |
| 496 | remx856 remainder 103 5 -> 3 | |
| 497 | remx857 remainder 13 5 -> 3 | |
| 498 | remx858 remainder 1 5 -> 1 | |
| 499 | ||
| 500 | -- Vladimir's cases | |
| 501 | remx860 remainder 123.0e1 10000000000000000 -> 1230 | |
| 502 | remx861 remainder 1230 10000000000000000 -> 1230 | |
| 503 | remx862 remainder 12.3e2 10000000000000000 -> 1230 | |
| 504 | remx863 remainder 1.23e3 10000000000000000 -> 1230 | |
| 505 | remx864 remainder 123e1 10000000000000000 -> 1230 | |
| 506 | remx870 remainder 123e1 1000000000000000 -> 1230 | |
| 507 | remx871 remainder 123e1 100000000000000 -> 1230 | |
| 508 | remx872 remainder 123e1 10000000000000 -> 1230 | |
| 509 | remx873 remainder 123e1 1000000000000 -> 1230 | |
| 510 | remx874 remainder 123e1 100000000000 -> 1230 | |
| 511 | remx875 remainder 123e1 10000000000 -> 1230 | |
| 512 | remx876 remainder 123e1 1000000000 -> 1230 | |
| 513 | remx877 remainder 123e1 100000000 -> 1230 | |
| 514 | remx878 remainder 1230 100000000 -> 1230 | |
| 515 | remx879 remainder 123e1 10000000 -> 1230 | |
| 516 | remx880 remainder 123e1 1000000 -> 1230 | |
| 517 | remx881 remainder 123e1 100000 -> 1230 | |
| 518 | remx882 remainder 123e1 10000 -> 1230 | |
| 519 | remx883 remainder 123e1 1000 -> 230 | |
| 520 | remx884 remainder 123e1 100 -> 30 | |
| 521 | remx885 remainder 123e1 10 -> 0 | |
| 522 | remx886 remainder 123e1 1 -> 0 | |
| 523 | ||
| 524 | remx889 remainder 123e1 20000000000000000 -> 1230 | |
| 525 | remx890 remainder 123e1 2000000000000000 -> 1230 | |
| 526 | remx891 remainder 123e1 200000000000000 -> 1230 | |
| 527 | remx892 remainder 123e1 20000000000000 -> 1230 | |
| 528 | remx893 remainder 123e1 2000000000000 -> 1230 | |
| 529 | remx894 remainder 123e1 200000000000 -> 1230 | |
| 530 | remx895 remainder 123e1 20000000000 -> 1230 | |
| 531 | remx896 remainder 123e1 2000000000 -> 1230 | |
| 532 | remx897 remainder 123e1 200000000 -> 1230 | |
| 533 | remx899 remainder 123e1 20000000 -> 1230 | |
| 534 | remx900 remainder 123e1 2000000 -> 1230 | |
| 535 | remx901 remainder 123e1 200000 -> 1230 | |
| 536 | remx902 remainder 123e1 20000 -> 1230 | |
| 537 | remx903 remainder 123e1 2000 -> 1230 | |
| 538 | remx904 remainder 123e1 200 -> 30 | |
| 539 | remx905 remainder 123e1 20 -> 10 | |
| 540 | remx906 remainder 123e1 2 -> 0 | |
| 541 | ||
| 542 | remx909 remainder 123e1 50000000000000000 -> 1230 | |
| 543 | remx910 remainder 123e1 5000000000000000 -> 1230 | |
| 544 | remx911 remainder 123e1 500000000000000 -> 1230 | |
| 545 | remx912 remainder 123e1 50000000000000 -> 1230 | |
| 546 | remx913 remainder 123e1 5000000000000 -> 1230 | |
| 547 | remx914 remainder 123e1 500000000000 -> 1230 | |
| 548 | remx915 remainder 123e1 50000000000 -> 1230 | |
| 549 | remx916 remainder 123e1 5000000000 -> 1230 | |
| 550 | remx917 remainder 123e1 500000000 -> 1230 | |
| 551 | remx919 remainder 123e1 50000000 -> 1230 | |
| 552 | remx920 remainder 123e1 5000000 -> 1230 | |
| 553 | remx921 remainder 123e1 500000 -> 1230 | |
| 554 | remx922 remainder 123e1 50000 -> 1230 | |
| 555 | remx923 remainder 123e1 5000 -> 1230 | |
| 556 | remx924 remainder 123e1 500 -> 230 | |
| 557 | remx925 remainder 123e1 50 -> 30 | |
| 558 | remx926 remainder 123e1 5 -> 0 | |
| 559 | ||
| 560 | remx929 remainder 123e1 90000000000000000 -> 1230 | |
| 561 | remx930 remainder 123e1 9000000000000000 -> 1230 | |
| 562 | remx931 remainder 123e1 900000000000000 -> 1230 | |
| 563 | remx932 remainder 123e1 90000000000000 -> 1230 | |
| 564 | remx933 remainder 123e1 9000000000000 -> 1230 | |
| 565 | remx934 remainder 123e1 900000000000 -> 1230 | |
| 566 | remx935 remainder 123e1 90000000000 -> 1230 | |
| 567 | remx936 remainder 123e1 9000000000 -> 1230 | |
| 568 | remx937 remainder 123e1 900000000 -> 1230 | |
| 569 | remx939 remainder 123e1 90000000 -> 1230 | |
| 570 | remx940 remainder 123e1 9000000 -> 1230 | |
| 571 | remx941 remainder 123e1 900000 -> 1230 | |
| 572 | remx942 remainder 123e1 90000 -> 1230 | |
| 573 | remx943 remainder 123e1 9000 -> 1230 | |
| 574 | remx944 remainder 123e1 900 -> 330 | |
| 575 | remx945 remainder 123e1 90 -> 60 | |
| 576 | remx946 remainder 123e1 9 -> 6 | |
| 577 | ||
| 578 | remx950 remainder 123e1 10000000000000000 -> 1230 | |
| 579 | remx951 remainder 123e1 100000000000000000 -> 1230 | |
| 580 | remx952 remainder 123e1 1000000000000000000 -> 1230 | |
| 581 | remx953 remainder 123e1 10000000000000000000 -> 1230 | |
| 582 | remx954 remainder 123e1 100000000000000000000 -> 1230 | |
| 583 | remx955 remainder 123e1 1000000000000000000000 -> 1230 | |
| 584 | remx956 remainder 123e1 10000000000000000000000 -> 1230 | |
| 585 | remx957 remainder 123e1 100000000000000000000000 -> 1230 | |
| 586 | remx958 remainder 123e1 1000000000000000000000000 -> 1230 | |
| 587 | remx959 remainder 123e1 10000000000000000000000000 -> 1230 | |
| 588 | ||
| 589 | remx960 remainder 123e1 19999999999999999 -> 1230 | |
| 590 | remx961 remainder 123e1 199999999999999990 -> 1230 | |
| 591 | remx962 remainder 123e1 1999999999999999999 -> 1230 | |
| 592 | remx963 remainder 123e1 19999999999999999990 -> 1230 | |
| 593 | remx964 remainder 123e1 199999999999999999999 -> 1230 | |
| 594 | remx965 remainder 123e1 1999999999999999999990 -> 1230 | |
| 595 | remx966 remainder 123e1 19999999999999999999999 -> 1230 | |
| 596 | remx967 remainder 123e1 199999999999999999999990 -> 1230 | |
| 597 | remx968 remainder 123e1 1999999999999999999999999 -> 1230 | |
| 598 | remx969 remainder 123e1 19999999999999999999999990 -> 1230 | |
| 599 | ||
| 600 | remx970 remainder 1e1 10000000000000000 -> 10 | |
| 601 | remx971 remainder 1e1 100000000000000000 -> 10 | |
| 602 | remx972 remainder 1e1 1000000000000000000 -> 10 | |
| 603 | remx973 remainder 1e1 10000000000000000000 -> 10 | |
| 604 | remx974 remainder 1e1 100000000000000000000 -> 10 | |
| 605 | remx975 remainder 1e1 1000000000000000000000 -> 10 | |
| 606 | remx976 remainder 1e1 10000000000000000000000 -> 10 | |
| 607 | remx977 remainder 1e1 100000000000000000000000 -> 10 | |
| 608 | remx978 remainder 1e1 1000000000000000000000000 -> 10 | |
| 609 | remx979 remainder 1e1 10000000000000000000000000 -> 10 | |
| 610 | ||
| 611 | remx980 remainder 123e1 1000E999999 -> 1.23E+3 -- 123E+1 internally | |
| 612 | ||
| 613 | -- overflow and underflow tests [from divide] | |
| 614 | precision: 9 | |
| 615 | maxexponent: 999999999 | |
| 616 | minexponent: -999999999 | |
| 617 | remx990 remainder +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded | |
| 618 | remx991 remainder 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible | |
| 619 | remx992 remainder +0.100 9E+999999999 -> 0.100 | |
| 620 | remx993 remainder 9E-999999999 +9.100 -> 9E-999999999 | |
| 621 | remx995 remainder -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded | |
| 622 | remx996 remainder 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible | |
| 623 | remx997 remainder -0.100 9E+999999999 -> -0.100 | |
| 624 | remx998 remainder 9E-999999999 -9.100 -> 9E-999999999 | |
| 625 | ||
| 626 | -- Null tests | |
| 627 | remx1000 remainder 10 # -> NaN Invalid_operation | |
| 628 | remx1001 remainder # 10 -> NaN Invalid_operation | |
| 629 |