1 ------------------------------------------------------------------------ 2 -- minmag.decTest -- decimal minimum by magnitude -- 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 -- we assume that base comparison is tested in compare.decTest, so 23 -- these mainly cover special cases and rounding 24 25 extended: 1 26 precision: 9 27 rounding: half_up 28 maxExponent: 384 29 minexponent: -383 30 31 -- sanity checks 32 mngx001 minmag -2 -2 -> -2 33 mngx002 minmag -2 -1 -> -1 34 mngx003 minmag -2 0 -> 0 35 mngx004 minmag -2 1 -> 1 36 mngx005 minmag -2 2 -> -2 37 mngx006 minmag -1 -2 -> -1 38 mngx007 minmag -1 -1 -> -1 39 mngx008 minmag -1 0 -> 0 40 mngx009 minmag -1 1 -> -1 41 mngx010 minmag -1 2 -> -1 42 mngx011 minmag 0 -2 -> 0 43 mngx012 minmag 0 -1 -> 0 44 mngx013 minmag 0 0 -> 0 45 mngx014 minmag 0 1 -> 0 46 mngx015 minmag 0 2 -> 0 47 mngx016 minmag 1 -2 -> 1 48 mngx017 minmag 1 -1 -> -1 49 mngx018 minmag 1 0 -> 0 50 mngx019 minmag 1 1 -> 1 51 mngx020 minmag 1 2 -> 1 52 mngx021 minmag 2 -2 -> -2 53 mngx022 minmag 2 -1 -> -1 54 mngx023 minmag 2 0 -> 0 55 mngx025 minmag 2 1 -> 1 56 mngx026 minmag 2 2 -> 2 57 58 -- extended zeros 59 mngx030 minmag 0 0 -> 0 60 mngx031 minmag 0 -0 -> -0 61 mngx032 minmag 0 -0.0 -> -0.0 62 mngx033 minmag 0 0.0 -> 0.0 63 mngx034 minmag -0 0 -> -0 64 mngx035 minmag -0 -0 -> -0 65 mngx036 minmag -0 -0.0 -> -0 66 mngx037 minmag -0 0.0 -> -0 67 mngx038 minmag 0.0 0 -> 0.0 68 mngx039 minmag 0.0 -0 -> -0 69 mngx040 minmag 0.0 -0.0 -> -0.0 70 mngx041 minmag 0.0 0.0 -> 0.0 71 mngx042 minmag -0.0 0 -> -0.0 72 mngx043 minmag -0.0 -0 -> -0 73 mngx044 minmag -0.0 -0.0 -> -0.0 74 mngx045 minmag -0.0 0.0 -> -0.0 75 76 mngx046 minmag 0E1 -0E1 -> -0E+1 77 mngx047 minmag -0E1 0E2 -> -0E+1 78 mngx048 minmag 0E2 0E1 -> 0E+1 79 mngx049 minmag 0E1 0E2 -> 0E+1 80 mngx050 minmag -0E3 -0E2 -> -0E+3 81 mngx051 minmag -0E2 -0E3 -> -0E+3 82 83 -- Specials 84 precision: 9 85 mngx090 minmag Inf -Inf -> -Infinity 86 mngx091 minmag Inf -1000 -> -1000 87 mngx092 minmag Inf -1 -> -1 88 mngx093 minmag Inf -0 -> -0 89 mngx094 minmag Inf 0 -> 0 90 mngx095 minmag Inf 1 -> 1 91 mngx096 minmag Inf 1000 -> 1000 92 mngx097 minmag Inf Inf -> Infinity 93 mngx098 minmag -1000 Inf -> -1000 94 mngx099 minmag -Inf Inf -> -Infinity 95 mngx100 minmag -1 Inf -> -1 96 mngx101 minmag -0 Inf -> -0 97 mngx102 minmag 0 Inf -> 0 98 mngx103 minmag 1 Inf -> 1 99 mngx104 minmag 1000 Inf -> 1000 100 mngx105 minmag Inf Inf -> Infinity 101 102 mngx120 minmag -Inf -Inf -> -Infinity 103 mngx121 minmag -Inf -1000 -> -1000 104 mngx122 minmag -Inf -1 -> -1 105 mngx123 minmag -Inf -0 -> -0 106 mngx124 minmag -Inf 0 -> 0 107 mngx125 minmag -Inf 1 -> 1 108 mngx126 minmag -Inf 1000 -> 1000 109 mngx127 minmag -Inf Inf -> -Infinity 110 mngx128 minmag -Inf -Inf -> -Infinity 111 mngx129 minmag -1000 -Inf -> -1000 112 mngx130 minmag -1 -Inf -> -1 113 mngx131 minmag -0 -Inf -> -0 114 mngx132 minmag 0 -Inf -> 0 115 mngx133 minmag 1 -Inf -> 1 116 mngx134 minmag 1000 -Inf -> 1000 117 mngx135 minmag Inf -Inf -> -Infinity 118 119 -- 2004.08.02 754r chooses number over NaN in mixed cases 120 mngx141 minmag NaN -Inf -> -Infinity 121 mngx142 minmag NaN -1000 -> -1000 122 mngx143 minmag NaN -1 -> -1 123 mngx144 minmag NaN -0 -> -0 124 mngx145 minmag NaN 0 -> 0 125 mngx146 minmag NaN 1 -> 1 126 mngx147 minmag NaN 1000 -> 1000 127 mngx148 minmag NaN Inf -> Infinity 128 mngx149 minmag NaN NaN -> NaN 129 mngx150 minmag -Inf NaN -> -Infinity 130 mngx151 minmag -1000 NaN -> -1000 131 mngx152 minmag -1 -NaN -> -1 132 mngx153 minmag -0 NaN -> -0 133 mngx154 minmag 0 -NaN -> 0 134 mngx155 minmag 1 NaN -> 1 135 mngx156 minmag 1000 NaN -> 1000 136 mngx157 minmag Inf NaN -> Infinity 137 138 mngx161 minmag sNaN -Inf -> NaN Invalid_operation 139 mngx162 minmag sNaN -1000 -> NaN Invalid_operation 140 mngx163 minmag sNaN -1 -> NaN Invalid_operation 141 mngx164 minmag sNaN -0 -> NaN Invalid_operation 142 mngx165 minmag -sNaN 0 -> -NaN Invalid_operation 143 mngx166 minmag -sNaN 1 -> -NaN Invalid_operation 144 mngx167 minmag sNaN 1000 -> NaN Invalid_operation 145 mngx168 minmag sNaN NaN -> NaN Invalid_operation 146 mngx169 minmag sNaN sNaN -> NaN Invalid_operation 147 mngx170 minmag NaN sNaN -> NaN Invalid_operation 148 mngx171 minmag -Inf sNaN -> NaN Invalid_operation 149 mngx172 minmag -1000 sNaN -> NaN Invalid_operation 150 mngx173 minmag -1 sNaN -> NaN Invalid_operation 151 mngx174 minmag -0 sNaN -> NaN Invalid_operation 152 mngx175 minmag 0 sNaN -> NaN Invalid_operation 153 mngx176 minmag 1 sNaN -> NaN Invalid_operation 154 mngx177 minmag 1000 sNaN -> NaN Invalid_operation 155 mngx178 minmag Inf sNaN -> NaN Invalid_operation 156 mngx179 minmag NaN sNaN -> NaN Invalid_operation 157 158 -- propagating NaNs 159 mngx181 minmag NaN9 -Inf -> -Infinity 160 mngx182 minmag -NaN8 9990 -> 9990 161 mngx183 minmag NaN71 Inf -> Infinity 162 163 mngx184 minmag NaN1 NaN54 -> NaN1 164 mngx185 minmag NaN22 -NaN53 -> NaN22 165 mngx186 minmag -NaN3 NaN6 -> -NaN3 166 mngx187 minmag -NaN44 NaN7 -> -NaN44 167 168 mngx188 minmag -Inf NaN41 -> -Infinity 169 mngx189 minmag -9999 -NaN33 -> -9999 170 mngx190 minmag Inf NaN2 -> Infinity 171 172 mngx191 minmag sNaN99 -Inf -> NaN99 Invalid_operation 173 mngx192 minmag sNaN98 -11 -> NaN98 Invalid_operation 174 mngx193 minmag -sNaN97 NaN8 -> -NaN97 Invalid_operation 175 mngx194 minmag sNaN69 sNaN94 -> NaN69 Invalid_operation 176 mngx195 minmag NaN95 sNaN93 -> NaN93 Invalid_operation 177 mngx196 minmag -Inf sNaN92 -> NaN92 Invalid_operation 178 mngx197 minmag 088 sNaN91 -> NaN91 Invalid_operation 179 mngx198 minmag Inf -sNaN90 -> -NaN90 Invalid_operation 180 mngx199 minmag NaN sNaN86 -> NaN86 Invalid_operation 181 182 -- rounding checks -- chosen is rounded, or not 183 maxExponent: 999 184 minexponent: -999 185 precision: 9 186 mngx201 minmag -12345678000 1 -> 1 187 mngx202 minmag 1 -12345678000 -> 1 188 mngx203 minmag -1234567800 1 -> 1 189 mngx204 minmag 1 -1234567800 -> 1 190 mngx205 minmag -1234567890 1 -> 1 191 mngx206 minmag 1 -1234567890 -> 1 192 mngx207 minmag -1234567891 1 -> 1 193 mngx208 minmag 1 -1234567891 -> 1 194 mngx209 minmag -12345678901 1 -> 1 195 mngx210 minmag 1 -12345678901 -> 1 196 mngx211 minmag -1234567896 1 -> 1 197 mngx212 minmag 1 -1234567896 -> 1 198 mngx213 minmag 1234567891 1 -> 1 199 mngx214 minmag 1 1234567891 -> 1 200 mngx215 minmag 12345678901 1 -> 1 201 mngx216 minmag 1 12345678901 -> 1 202 mngx217 minmag 1234567896 1 -> 1 203 mngx218 minmag 1 1234567896 -> 1 204 205 precision: 15 206 mngx221 minmag -12345678000 1 -> 1 207 mngx222 minmag 1 -12345678000 -> 1 208 mngx223 minmag -1234567800 1 -> 1 209 mngx224 minmag 1 -1234567800 -> 1 210 mngx225 minmag -1234567890 1 -> 1 211 mngx226 minmag 1 -1234567890 -> 1 212 mngx227 minmag -1234567891 1 -> 1 213 mngx228 minmag 1 -1234567891 -> 1 214 mngx229 minmag -12345678901 1 -> 1 215 mngx230 minmag 1 -12345678901 -> 1 216 mngx231 minmag -1234567896 1 -> 1 217 mngx232 minmag 1 -1234567896 -> 1 218 mngx233 minmag 1234567891 1 -> 1 219 mngx234 minmag 1 1234567891 -> 1 220 mngx235 minmag 12345678901 1 -> 1 221 mngx236 minmag 1 12345678901 -> 1 222 mngx237 minmag 1234567896 1 -> 1 223 mngx238 minmag 1 1234567896 -> 1 224 225 -- from examples 226 mngx280 minmag '3' '2' -> '2' 227 mngx281 minmag '-10' '3' -> '3' 228 mngx282 minmag '1.0' '1' -> '1.0' 229 mngx283 minmag '1' '1.0' -> '1.0' 230 mngx284 minmag '7' 'NaN' -> '7' 231 232 -- overflow and underflow tests .. subnormal results [inputs] now allowed 233 maxExponent: 999999999 234 minexponent: -999999999 235 mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345 236 mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345 237 mngx332 minmag -0.100 -9E-999999999 -> -9E-999999999 238 mngx333 minmag -9E-999999999 -0.100 -> -9E-999999999 239 mngx335 minmag +1.23456789012345E-0 -9E+999999999 -> 1.23456789012345 240 mngx336 minmag -9E+999999999 1.23456789012345E-0 -> 1.23456789012345 241 mngx337 minmag +0.100 -9E-999999999 -> -9E-999999999 242 mngx338 minmag -9E-999999999 0.100 -> -9E-999999999 243 244 mngx339 minmag -1e-599999999 -1e-400000001 -> -1E-599999999 245 mngx340 minmag -1e-599999999 -1e-400000000 -> -1E-599999999 246 mngx341 minmag -1e-600000000 -1e-400000000 -> -1E-600000000 247 mngx342 minmag -9e-999999998 -0.01 -> -9E-999999998 248 mngx343 minmag -9e-999999998 -0.1 -> -9E-999999998 249 mngx344 minmag -0.01 -9e-999999998 -> -9E-999999998 250 mngx345 minmag -1e599999999 -1e400000001 -> -1E+400000001 251 mngx346 minmag -1e599999999 -1e400000000 -> -1E+400000000 252 mngx347 minmag -1e600000000 -1e400000000 -> -1E+400000000 253 mngx348 minmag -9e999999998 -100 -> -100 254 mngx349 minmag -9e999999998 -10 -> -10 255 mngx350 minmag -100 -9e999999998 -> -100 256 -- signs 257 mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111 258 mngx352 minmag -1e+777777777 +1e+411111111 -> 1E+411111111 259 mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111 260 mngx354 minmag +1e+777777777 +1e+411111111 -> 1E+411111111 261 mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777 262 mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777 263 mngx357 minmag +1e-777777777 -1e-411111111 -> 1E-777777777 264 mngx358 minmag +1e-777777777 +1e-411111111 -> 1E-777777777 265 266 -- expanded list from min/max 754r purple prose 267 -- [explicit tests for exponent ordering] 268 mngx401 minmag Inf 1.1 -> 1.1 269 mngx402 minmag 1.1 1 -> 1 270 mngx403 minmag 1 1.0 -> 1.0 271 mngx404 minmag 1.0 0.1 -> 0.1 272 mngx405 minmag 0.1 0.10 -> 0.10 273 mngx406 minmag 0.10 0.100 -> 0.100 274 mngx407 minmag 0.10 0 -> 0 275 mngx408 minmag 0 0.0 -> 0.0 276 mngx409 minmag 0.0 -0 -> -0 277 mngx410 minmag 0.0 -0.0 -> -0.0 278 mngx411 minmag 0.00 -0.0 -> -0.0 279 mngx412 minmag 0.0 -0.00 -> -0.00 280 mngx413 minmag 0 -0.0 -> -0.0 281 mngx414 minmag 0 -0 -> -0 282 mngx415 minmag -0.0 -0 -> -0 283 mngx416 minmag -0 -0.100 -> -0 284 mngx417 minmag -0.100 -0.10 -> -0.10 285 mngx418 minmag -0.10 -0.1 -> -0.1 286 mngx419 minmag -0.1 -1.0 -> -0.1 287 mngx420 minmag -1.0 -1 -> -1 288 mngx421 minmag -1 -1.1 -> -1 289 mngx423 minmag -1.1 -Inf -> -1.1 290 -- same with operands reversed 291 mngx431 minmag 1.1 Inf -> 1.1 292 mngx432 minmag 1 1.1 -> 1 293 mngx433 minmag 1.0 1 -> 1.0 294 mngx434 minmag 0.1 1.0 -> 0.1 295 mngx435 minmag 0.10 0.1 -> 0.10 296 mngx436 minmag 0.100 0.10 -> 0.100 297 mngx437 minmag 0 0.10 -> 0 298 mngx438 minmag 0.0 0 -> 0.0 299 mngx439 minmag -0 0.0 -> -0 300 mngx440 minmag -0.0 0.0 -> -0.0 301 mngx441 minmag -0.0 0.00 -> -0.0 302 mngx442 minmag -0.00 0.0 -> -0.00 303 mngx443 minmag -0.0 0 -> -0.0 304 mngx444 minmag -0 0 -> -0 305 mngx445 minmag -0 -0.0 -> -0 306 mngx446 minmag -0.100 -0 -> -0 307 mngx447 minmag -0.10 -0.100 -> -0.10 308 mngx448 minmag -0.1 -0.10 -> -0.1 309 mngx449 minmag -1.0 -0.1 -> -0.1 310 mngx450 minmag -1 -1.0 -> -1 311 mngx451 minmag -1.1 -1 -> -1 312 mngx453 minmag -Inf -1.1 -> -1.1 313 -- largies 314 mngx460 minmag 1000 1E+3 -> 1000 315 mngx461 minmag 1E+3 1000 -> 1000 316 mngx462 minmag 1000 -1E+3 -> -1E+3 317 mngx463 minmag 1E+3 -1000 -> -1000 318 mngx464 minmag -1000 1E+3 -> -1000 319 mngx465 minmag -1E+3 1000 -> -1E+3 320 mngx466 minmag -1000 -1E+3 -> -1E+3 321 mngx467 minmag -1E+3 -1000 -> -1E+3 322 323 -- rounding (results treated as though plus) 324 maxexponent: 999999999 325 minexponent: -999999999 326 precision: 3 327 328 mngx470 minmag 1 5 -> 1 329 mngx471 minmag 10 50 -> 10 330 mngx472 minmag 100 500 -> 100 331 mngx473 minmag 1000 5000 -> 1.00E+3 Rounded 332 mngx474 minmag 10000 50000 -> 1.00E+4 Rounded 333 mngx475 minmag 6 50 -> 6 334 mngx476 minmag 66 500 -> 66 335 mngx477 minmag 666 5000 -> 666 336 mngx478 minmag 6666 50000 -> 6.67E+3 Rounded Inexact 337 mngx479 minmag 66666 500000 -> 6.67E+4 Rounded Inexact 338 mngx480 minmag 33333 500000 -> 3.33E+4 Rounded Inexact 339 mngx481 minmag 75401 1 -> 1 340 mngx482 minmag 75402 10 -> 10 341 mngx483 minmag 75403 100 -> 100 342 mngx484 minmag 75404 1000 -> 1.00E+3 Rounded 343 mngx485 minmag 75405 10000 -> 1.00E+4 Rounded 344 mngx486 minmag 75406 6 -> 6 345 mngx487 minmag 75407 66 -> 66 346 mngx488 minmag 75408 666 -> 666 347 mngx489 minmag 75409 6666 -> 6.67E+3 Rounded Inexact 348 mngx490 minmag 75410 66666 -> 6.67E+4 Rounded Inexact 349 mngx491 minmag 75411 33333 -> 3.33E+4 Rounded Inexact 350 351 352 -- overflow tests 353 maxexponent: 999999999 354 minexponent: -999999999 355 precision: 3 356 mngx500 minmag 9.999E+999999999 0 -> 0 357 mngx501 minmag -9.999E+999999999 0 -> 0 358 359 -- subnormals and underflow 360 precision: 3 361 maxexponent: 999 362 minexponent: -999 363 mngx510 minmag 1.00E-999 0 -> 0 364 mngx511 minmag 0.1E-999 0 -> 0 365 mngx512 minmag 0.10E-999 0 -> 0 366 mngx513 minmag 0.100E-999 0 -> 0 367 mngx514 minmag 0.01E-999 0 -> 0 368 mngx515 minmag 0.999E-999 0 -> 0 369 mngx516 minmag 0.099E-999 0 -> 0 370 mngx517 minmag 0.009E-999 0 -> 0 371 mngx518 minmag 0.001E-999 0 -> 0 372 mngx519 minmag 0.0009E-999 0 -> 0 373 mngx520 minmag 0.0001E-999 0 -> 0 374 375 mngx530 minmag -1.00E-999 0 -> 0 376 mngx531 minmag -0.1E-999 0 -> 0 377 mngx532 minmag -0.10E-999 0 -> 0 378 mngx533 minmag -0.100E-999 0 -> 0 379 mngx534 minmag -0.01E-999 0 -> 0 380 mngx535 minmag -0.999E-999 0 -> 0 381 mngx536 minmag -0.099E-999 0 -> 0 382 mngx537 minmag -0.009E-999 0 -> 0 383 mngx538 minmag -0.001E-999 0 -> 0 384 mngx539 minmag -0.0009E-999 0 -> 0 385 mngx540 minmag -0.0001E-999 0 -> 0 386 387 388 -- Null tests 389 mng900 minmag 10 # -> NaN Invalid_operation 390 mng901 minmag # 10 -> NaN Invalid_operation 391
