1 ------------------------------------------------------------------------ 2 -- ddMax.decTest -- decDouble maxnum -- 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 precision: 16 25 maxExponent: 384 26 minExponent: -383 27 extended: 1 28 clamp: 1 29 rounding: half_even 30 31 -- sanity checks 32 ddmax001 max -2 -2 -> -2 33 ddmax002 max -2 -1 -> -1 34 ddmax003 max -2 0 -> 0 35 ddmax004 max -2 1 -> 1 36 ddmax005 max -2 2 -> 2 37 ddmax006 max -1 -2 -> -1 38 ddmax007 max -1 -1 -> -1 39 ddmax008 max -1 0 -> 0 40 ddmax009 max -1 1 -> 1 41 ddmax010 max -1 2 -> 2 42 ddmax011 max 0 -2 -> 0 43 ddmax012 max 0 -1 -> 0 44 ddmax013 max 0 0 -> 0 45 ddmax014 max 0 1 -> 1 46 ddmax015 max 0 2 -> 2 47 ddmax016 max 1 -2 -> 1 48 ddmax017 max 1 -1 -> 1 49 ddmax018 max 1 0 -> 1 50 ddmax019 max 1 1 -> 1 51 ddmax020 max 1 2 -> 2 52 ddmax021 max 2 -2 -> 2 53 ddmax022 max 2 -1 -> 2 54 ddmax023 max 2 0 -> 2 55 ddmax025 max 2 1 -> 2 56 ddmax026 max 2 2 -> 2 57 58 -- extended zeros 59 ddmax030 max 0 0 -> 0 60 ddmax031 max 0 -0 -> 0 61 ddmax032 max 0 -0.0 -> 0 62 ddmax033 max 0 0.0 -> 0 63 ddmax034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen 64 ddmax035 max -0 -0 -> -0 65 ddmax036 max -0 -0.0 -> -0.0 66 ddmax037 max -0 0.0 -> 0.0 67 ddmax038 max 0.0 0 -> 0 68 ddmax039 max 0.0 -0 -> 0.0 69 ddmax040 max 0.0 -0.0 -> 0.0 70 ddmax041 max 0.0 0.0 -> 0.0 71 ddmax042 max -0.0 0 -> 0 72 ddmax043 max -0.0 -0 -> -0.0 73 ddmax044 max -0.0 -0.0 -> -0.0 74 ddmax045 max -0.0 0.0 -> 0.0 75 76 ddmax050 max -0E1 0E1 -> 0E+1 77 ddmax051 max -0E2 0E2 -> 0E+2 78 ddmax052 max -0E2 0E1 -> 0E+1 79 ddmax053 max -0E1 0E2 -> 0E+2 80 ddmax054 max 0E1 -0E1 -> 0E+1 81 ddmax055 max 0E2 -0E2 -> 0E+2 82 ddmax056 max 0E2 -0E1 -> 0E+2 83 ddmax057 max 0E1 -0E2 -> 0E+1 84 85 ddmax058 max 0E1 0E1 -> 0E+1 86 ddmax059 max 0E2 0E2 -> 0E+2 87 ddmax060 max 0E2 0E1 -> 0E+2 88 ddmax061 max 0E1 0E2 -> 0E+2 89 ddmax062 max -0E1 -0E1 -> -0E+1 90 ddmax063 max -0E2 -0E2 -> -0E+2 91 ddmax064 max -0E2 -0E1 -> -0E+1 92 ddmax065 max -0E1 -0E2 -> -0E+1 93 94 -- Specials 95 ddmax090 max Inf -Inf -> Infinity 96 ddmax091 max Inf -1000 -> Infinity 97 ddmax092 max Inf -1 -> Infinity 98 ddmax093 max Inf -0 -> Infinity 99 ddmax094 max Inf 0 -> Infinity 100 ddmax095 max Inf 1 -> Infinity 101 ddmax096 max Inf 1000 -> Infinity 102 ddmax097 max Inf Inf -> Infinity 103 ddmax098 max -1000 Inf -> Infinity 104 ddmax099 max -Inf Inf -> Infinity 105 ddmax100 max -1 Inf -> Infinity 106 ddmax101 max -0 Inf -> Infinity 107 ddmax102 max 0 Inf -> Infinity 108 ddmax103 max 1 Inf -> Infinity 109 ddmax104 max 1000 Inf -> Infinity 110 ddmax105 max Inf Inf -> Infinity 111 112 ddmax120 max -Inf -Inf -> -Infinity 113 ddmax121 max -Inf -1000 -> -1000 114 ddmax122 max -Inf -1 -> -1 115 ddmax123 max -Inf -0 -> -0 116 ddmax124 max -Inf 0 -> 0 117 ddmax125 max -Inf 1 -> 1 118 ddmax126 max -Inf 1000 -> 1000 119 ddmax127 max -Inf Inf -> Infinity 120 ddmax128 max -Inf -Inf -> -Infinity 121 ddmax129 max -1000 -Inf -> -1000 122 ddmax130 max -1 -Inf -> -1 123 ddmax131 max -0 -Inf -> -0 124 ddmax132 max 0 -Inf -> 0 125 ddmax133 max 1 -Inf -> 1 126 ddmax134 max 1000 -Inf -> 1000 127 ddmax135 max Inf -Inf -> Infinity 128 129 -- 2004.08.02 754r chooses number over NaN in mixed cases 130 ddmax141 max NaN -Inf -> -Infinity 131 ddmax142 max NaN -1000 -> -1000 132 ddmax143 max NaN -1 -> -1 133 ddmax144 max NaN -0 -> -0 134 ddmax145 max NaN 0 -> 0 135 ddmax146 max NaN 1 -> 1 136 ddmax147 max NaN 1000 -> 1000 137 ddmax148 max NaN Inf -> Infinity 138 ddmax149 max NaN NaN -> NaN 139 ddmax150 max -Inf NaN -> -Infinity 140 ddmax151 max -1000 NaN -> -1000 141 ddmax152 max -1 NaN -> -1 142 ddmax153 max -0 NaN -> -0 143 ddmax154 max 0 NaN -> 0 144 ddmax155 max 1 NaN -> 1 145 ddmax156 max 1000 NaN -> 1000 146 ddmax157 max Inf NaN -> Infinity 147 148 ddmax161 max sNaN -Inf -> NaN Invalid_operation 149 ddmax162 max sNaN -1000 -> NaN Invalid_operation 150 ddmax163 max sNaN -1 -> NaN Invalid_operation 151 ddmax164 max sNaN -0 -> NaN Invalid_operation 152 ddmax165 max sNaN 0 -> NaN Invalid_operation 153 ddmax166 max sNaN 1 -> NaN Invalid_operation 154 ddmax167 max sNaN 1000 -> NaN Invalid_operation 155 ddmax168 max sNaN NaN -> NaN Invalid_operation 156 ddmax169 max sNaN sNaN -> NaN Invalid_operation 157 ddmax170 max NaN sNaN -> NaN Invalid_operation 158 ddmax171 max -Inf sNaN -> NaN Invalid_operation 159 ddmax172 max -1000 sNaN -> NaN Invalid_operation 160 ddmax173 max -1 sNaN -> NaN Invalid_operation 161 ddmax174 max -0 sNaN -> NaN Invalid_operation 162 ddmax175 max 0 sNaN -> NaN Invalid_operation 163 ddmax176 max 1 sNaN -> NaN Invalid_operation 164 ddmax177 max 1000 sNaN -> NaN Invalid_operation 165 ddmax178 max Inf sNaN -> NaN Invalid_operation 166 ddmax179 max NaN sNaN -> NaN Invalid_operation 167 168 -- propagating NaNs 169 ddmax181 max NaN9 -Inf -> -Infinity 170 ddmax182 max NaN8 9 -> 9 171 ddmax183 max -NaN7 Inf -> Infinity 172 173 ddmax184 max -NaN1 NaN11 -> -NaN1 174 ddmax185 max NaN2 NaN12 -> NaN2 175 ddmax186 max -NaN13 -NaN7 -> -NaN13 176 ddmax187 max NaN14 -NaN5 -> NaN14 177 178 ddmax188 max -Inf NaN4 -> -Infinity 179 ddmax189 max -9 -NaN3 -> -9 180 ddmax190 max Inf NaN2 -> Infinity 181 182 ddmax191 max sNaN99 -Inf -> NaN99 Invalid_operation 183 ddmax192 max sNaN98 -1 -> NaN98 Invalid_operation 184 ddmax193 max -sNaN97 NaN -> -NaN97 Invalid_operation 185 ddmax194 max sNaN96 sNaN94 -> NaN96 Invalid_operation 186 ddmax195 max NaN95 sNaN93 -> NaN93 Invalid_operation 187 ddmax196 max -Inf sNaN92 -> NaN92 Invalid_operation 188 ddmax197 max 0 sNaN91 -> NaN91 Invalid_operation 189 ddmax198 max Inf -sNaN90 -> -NaN90 Invalid_operation 190 ddmax199 max NaN sNaN89 -> NaN89 Invalid_operation 191 192 -- old rounding checks 193 ddmax221 max 12345678000 1 -> 12345678000 194 ddmax222 max 1 12345678000 -> 12345678000 195 ddmax223 max 1234567800 1 -> 1234567800 196 ddmax224 max 1 1234567800 -> 1234567800 197 ddmax225 max 1234567890 1 -> 1234567890 198 ddmax226 max 1 1234567890 -> 1234567890 199 ddmax227 max 1234567891 1 -> 1234567891 200 ddmax228 max 1 1234567891 -> 1234567891 201 ddmax229 max 12345678901 1 -> 12345678901 202 ddmax230 max 1 12345678901 -> 12345678901 203 ddmax231 max 1234567896 1 -> 1234567896 204 ddmax232 max 1 1234567896 -> 1234567896 205 ddmax233 max -1234567891 1 -> 1 206 ddmax234 max 1 -1234567891 -> 1 207 ddmax235 max -12345678901 1 -> 1 208 ddmax236 max 1 -12345678901 -> 1 209 ddmax237 max -1234567896 1 -> 1 210 ddmax238 max 1 -1234567896 -> 1 211 212 -- from examples 213 ddmax280 max '3' '2' -> '3' 214 ddmax281 max '-10' '3' -> '3' 215 ddmax282 max '1.0' '1' -> '1' 216 ddmax283 max '1' '1.0' -> '1' 217 ddmax284 max '7' 'NaN' -> '7' 218 219 -- expanded list from min/max 754r purple prose 220 -- [explicit tests for exponent ordering] 221 ddmax401 max Inf 1.1 -> Infinity 222 ddmax402 max 1.1 1 -> 1.1 223 ddmax403 max 1 1.0 -> 1 224 ddmax404 max 1.0 0.1 -> 1.0 225 ddmax405 max 0.1 0.10 -> 0.1 226 ddmax406 max 0.10 0.100 -> 0.10 227 ddmax407 max 0.10 0 -> 0.10 228 ddmax408 max 0 0.0 -> 0 229 ddmax409 max 0.0 -0 -> 0.0 230 ddmax410 max 0.0 -0.0 -> 0.0 231 ddmax411 max 0.00 -0.0 -> 0.00 232 ddmax412 max 0.0 -0.00 -> 0.0 233 ddmax413 max 0 -0.0 -> 0 234 ddmax414 max 0 -0 -> 0 235 ddmax415 max -0.0 -0 -> -0.0 236 ddmax416 max -0 -0.100 -> -0 237 ddmax417 max -0.100 -0.10 -> -0.100 238 ddmax418 max -0.10 -0.1 -> -0.10 239 ddmax419 max -0.1 -1.0 -> -0.1 240 ddmax420 max -1.0 -1 -> -1.0 241 ddmax421 max -1 -1.1 -> -1 242 ddmax423 max -1.1 -Inf -> -1.1 243 -- same with operands reversed 244 ddmax431 max 1.1 Inf -> Infinity 245 ddmax432 max 1 1.1 -> 1.1 246 ddmax433 max 1.0 1 -> 1 247 ddmax434 max 0.1 1.0 -> 1.0 248 ddmax435 max 0.10 0.1 -> 0.1 249 ddmax436 max 0.100 0.10 -> 0.10 250 ddmax437 max 0 0.10 -> 0.10 251 ddmax438 max 0.0 0 -> 0 252 ddmax439 max -0 0.0 -> 0.0 253 ddmax440 max -0.0 0.0 -> 0.0 254 ddmax441 max -0.0 0.00 -> 0.00 255 ddmax442 max -0.00 0.0 -> 0.0 256 ddmax443 max -0.0 0 -> 0 257 ddmax444 max -0 0 -> 0 258 ddmax445 max -0 -0.0 -> -0.0 259 ddmax446 max -0.100 -0 -> -0 260 ddmax447 max -0.10 -0.100 -> -0.100 261 ddmax448 max -0.1 -0.10 -> -0.10 262 ddmax449 max -1.0 -0.1 -> -0.1 263 ddmax450 max -1 -1.0 -> -1.0 264 ddmax451 max -1.1 -1 -> -1 265 ddmax453 max -Inf -1.1 -> -1.1 266 -- largies 267 ddmax460 max 1000 1E+3 -> 1E+3 268 ddmax461 max 1E+3 1000 -> 1E+3 269 ddmax462 max 1000 -1E+3 -> 1000 270 ddmax463 max 1E+3 -1000 -> 1E+3 271 ddmax464 max -1000 1E+3 -> 1E+3 272 ddmax465 max -1E+3 1000 -> 1000 273 ddmax466 max -1000 -1E+3 -> -1000 274 ddmax467 max -1E+3 -1000 -> -1000 275 276 -- misalignment traps for little-endian 277 ddmax471 max 1.0 0.1 -> 1.0 278 ddmax472 max 0.1 1.0 -> 1.0 279 ddmax473 max 10.0 0.1 -> 10.0 280 ddmax474 max 0.1 10.0 -> 10.0 281 ddmax475 max 100 1.0 -> 100 282 ddmax476 max 1.0 100 -> 100 283 ddmax477 max 1000 10.0 -> 1000 284 ddmax478 max 10.0 1000 -> 1000 285 ddmax479 max 10000 100.0 -> 10000 286 ddmax480 max 100.0 10000 -> 10000 287 ddmax481 max 100000 1000.0 -> 100000 288 ddmax482 max 1000.0 100000 -> 100000 289 ddmax483 max 1000000 10000.0 -> 1000000 290 ddmax484 max 10000.0 1000000 -> 1000000 291 292 -- subnormals 293 ddmax510 max 1.00E-383 0 -> 1.00E-383 294 ddmax511 max 0.1E-383 0 -> 1E-384 Subnormal 295 ddmax512 max 0.10E-383 0 -> 1.0E-384 Subnormal 296 ddmax513 max 0.100E-383 0 -> 1.00E-384 Subnormal 297 ddmax514 max 0.01E-383 0 -> 1E-385 Subnormal 298 ddmax515 max 0.999E-383 0 -> 9.99E-384 Subnormal 299 ddmax516 max 0.099E-383 0 -> 9.9E-385 Subnormal 300 ddmax517 max 0.009E-383 0 -> 9E-386 Subnormal 301 ddmax518 max 0.001E-383 0 -> 1E-386 Subnormal 302 ddmax519 max 0.0009E-383 0 -> 9E-387 Subnormal 303 ddmax520 max 0.0001E-383 0 -> 1E-387 Subnormal 304 305 ddmax530 max -1.00E-383 0 -> 0 306 ddmax531 max -0.1E-383 0 -> 0 307 ddmax532 max -0.10E-383 0 -> 0 308 ddmax533 max -0.100E-383 0 -> 0 309 ddmax534 max -0.01E-383 0 -> 0 310 ddmax535 max -0.999E-383 0 -> 0 311 ddmax536 max -0.099E-383 0 -> 0 312 ddmax537 max -0.009E-383 0 -> 0 313 ddmax538 max -0.001E-383 0 -> 0 314 ddmax539 max -0.0009E-383 0 -> 0 315 ddmax540 max -0.0001E-383 0 -> 0 316 317 -- Null tests 318 ddmax900 max 10 # -> NaN Invalid_operation 319 ddmax901 max # 10 -> NaN Invalid_operation 320 321 322 323
