1 ------------------------------------------------------------------------ 2 -- dsEncode.decTest -- decimal four-byte format testcases -- 3 -- Copyright (c) IBM Corporation, 2000, 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 -- [Previously called decimal32.decTest] 21 version: 2.59 22 23 -- This set of tests is for the four-byte concrete representation. 24 -- Its characteristics are: 25 -- 26 -- 1 bit sign 27 -- 5 bits combination field 28 -- 6 bits exponent continuation 29 -- 20 bits coefficient continuation 30 -- 31 -- Total exponent length 8 bits 32 -- Total coefficient length 24 bits (7 digits) 33 -- 34 -- Elimit = 191 (maximum encoded exponent) 35 -- Emax = 96 (largest exponent value) 36 -- Emin = -95 (smallest exponent value) 37 -- bias = 101 (subtracted from encoded exponent) = -Etiny 38 39 -- The testcases here have only exactly representable data on the 40 -- 'left-hand-side'; rounding from strings is tested in 'base' 41 -- testcase groups. 42 43 extended: 1 44 clamp: 1 45 precision: 7 46 rounding: half_up 47 maxExponent: 96 48 minExponent: -95 49 50 -- General testcases 51 -- (mostly derived from the Strawman 4 document and examples) 52 decs001 apply #A23003D0 -> -7.50 53 decs002 apply -7.50 -> #A23003D0 54 -- derivative canonical plain strings 55 decs003 apply #A26003D0 -> -7.50E+3 56 decs004 apply -7.50E+3 -> #A26003D0 57 decs005 apply #A25003D0 -> -750 58 decs006 apply -750 -> #A25003D0 59 decs007 apply #A24003D0 -> -75.0 60 decs008 apply -75.0 -> #A24003D0 61 decs009 apply #A22003D0 -> -0.750 62 decs010 apply -0.750 -> #A22003D0 63 decs011 apply #A21003D0 -> -0.0750 64 decs012 apply -0.0750 -> #A21003D0 65 decs013 apply #A1f003D0 -> -0.000750 66 decs014 apply -0.000750 -> #A1f003D0 67 decs015 apply #A1d003D0 -> -0.00000750 68 decs016 apply -0.00000750 -> #A1d003D0 69 decs017 apply #A1c003D0 -> -7.50E-7 70 decs018 apply -7.50E-7 -> #A1c003D0 71 72 -- Normality 73 decs020 apply 1234567 -> #2654d2e7 74 decs021 apply -1234567 -> #a654d2e7 75 decs022 apply 1111111 -> #26524491 76 77 -- Nmax and similar 78 decs031 apply 9.999999E+96 -> #77f3fcff 79 decs032 apply #77f3fcff -> 9.999999E+96 80 decs033 apply 1.234567E+96 -> #47f4d2e7 81 decs034 apply #47f4d2e7 -> 1.234567E+96 82 -- fold-downs (more below) 83 decs035 apply 1.23E+96 -> #47f4c000 Clamped 84 decs036 apply #47f4c000 -> 1.230000E+96 85 decs037 apply 1E+96 -> #47f00000 Clamped 86 decs038 apply #47f00000 -> 1.000000E+96 87 88 decs051 apply 12345 -> #225049c5 89 decs052 apply #225049c5 -> 12345 90 decs053 apply 1234 -> #22500534 91 decs054 apply #22500534 -> 1234 92 decs055 apply 123 -> #225000a3 93 decs056 apply #225000a3 -> 123 94 decs057 apply 12 -> #22500012 95 decs058 apply #22500012 -> 12 96 decs059 apply 1 -> #22500001 97 decs060 apply #22500001 -> 1 98 decs061 apply 1.23 -> #223000a3 99 decs062 apply #223000a3 -> 1.23 100 decs063 apply 123.45 -> #223049c5 101 decs064 apply #223049c5 -> 123.45 102 103 -- Nmin and below 104 decs071 apply 1E-95 -> #00600001 105 decs072 apply #00600001 -> 1E-95 106 decs073 apply 1.000000E-95 -> #04000000 107 decs074 apply #04000000 -> 1.000000E-95 108 decs075 apply 1.000001E-95 -> #04000001 109 decs076 apply #04000001 -> 1.000001E-95 110 111 decs077 apply 0.100000E-95 -> #00020000 Subnormal 112 decs07x apply 1.00000E-96 -> 1.00000E-96 Subnormal 113 decs078 apply #00020000 -> 1.00000E-96 Subnormal 114 decs079 apply 0.000010E-95 -> #00000010 Subnormal 115 decs080 apply #00000010 -> 1.0E-100 Subnormal 116 decs081 apply 0.000001E-95 -> #00000001 Subnormal 117 decs082 apply #00000001 -> 1E-101 Subnormal 118 decs083 apply 1e-101 -> #00000001 Subnormal 119 decs084 apply #00000001 -> 1E-101 Subnormal 120 decs08x apply 1e-101 -> 1E-101 Subnormal 121 122 -- underflows cannot be tested; just check edge case 123 decs090 apply 1e-101 -> #00000001 Subnormal 124 125 -- same again, negatives -- 126 127 -- Nmax and similar 128 decs122 apply -9.999999E+96 -> #f7f3fcff 129 decs123 apply #f7f3fcff -> -9.999999E+96 130 decs124 apply -1.234567E+96 -> #c7f4d2e7 131 decs125 apply #c7f4d2e7 -> -1.234567E+96 132 -- fold-downs (more below) 133 decs130 apply -1.23E+96 -> #c7f4c000 Clamped 134 decs131 apply #c7f4c000 -> -1.230000E+96 135 decs132 apply -1E+96 -> #c7f00000 Clamped 136 decs133 apply #c7f00000 -> -1.000000E+96 137 138 decs151 apply -12345 -> #a25049c5 139 decs152 apply #a25049c5 -> -12345 140 decs153 apply -1234 -> #a2500534 141 decs154 apply #a2500534 -> -1234 142 decs155 apply -123 -> #a25000a3 143 decs156 apply #a25000a3 -> -123 144 decs157 apply -12 -> #a2500012 145 decs158 apply #a2500012 -> -12 146 decs159 apply -1 -> #a2500001 147 decs160 apply #a2500001 -> -1 148 decs161 apply -1.23 -> #a23000a3 149 decs162 apply #a23000a3 -> -1.23 150 decs163 apply -123.45 -> #a23049c5 151 decs164 apply #a23049c5 -> -123.45 152 153 -- Nmin and below 154 decs171 apply -1E-95 -> #80600001 155 decs172 apply #80600001 -> -1E-95 156 decs173 apply -1.000000E-95 -> #84000000 157 decs174 apply #84000000 -> -1.000000E-95 158 decs175 apply -1.000001E-95 -> #84000001 159 decs176 apply #84000001 -> -1.000001E-95 160 161 decs177 apply -0.100000E-95 -> #80020000 Subnormal 162 decs178 apply #80020000 -> -1.00000E-96 Subnormal 163 decs179 apply -0.000010E-95 -> #80000010 Subnormal 164 decs180 apply #80000010 -> -1.0E-100 Subnormal 165 decs181 apply -0.000001E-95 -> #80000001 Subnormal 166 decs182 apply #80000001 -> -1E-101 Subnormal 167 decs183 apply -1e-101 -> #80000001 Subnormal 168 decs184 apply #80000001 -> -1E-101 Subnormal 169 170 -- underflow edge case 171 decs190 apply -1e-101 -> #80000001 Subnormal 172 173 -- zeros 174 decs400 apply 0E-400 -> #00000000 Clamped 175 decs401 apply 0E-101 -> #00000000 176 decs402 apply #00000000 -> 0E-101 177 decs403 apply 0.000000E-95 -> #00000000 178 decs404 apply #00000000 -> 0E-101 179 decs405 apply 0E-2 -> #22300000 180 decs406 apply #22300000 -> 0.00 181 decs407 apply 0 -> #22500000 182 decs408 apply #22500000 -> 0 183 decs409 apply 0E+3 -> #22800000 184 decs410 apply #22800000 -> 0E+3 185 decs411 apply 0E+90 -> #43f00000 186 decs412 apply #43f00000 -> 0E+90 187 -- clamped zeros... 188 decs413 apply 0E+91 -> #43f00000 Clamped 189 decs414 apply #43f00000 -> 0E+90 190 decs415 apply 0E+96 -> #43f00000 Clamped 191 decs416 apply #43f00000 -> 0E+90 192 decs417 apply 0E+400 -> #43f00000 Clamped 193 decs418 apply #43f00000 -> 0E+90 194 195 -- negative zeros 196 decs420 apply -0E-400 -> #80000000 Clamped 197 decs421 apply -0E-101 -> #80000000 198 decs422 apply #80000000 -> -0E-101 199 decs423 apply -0.000000E-95 -> #80000000 200 decs424 apply #80000000 -> -0E-101 201 decs425 apply -0E-2 -> #a2300000 202 decs426 apply #a2300000 -> -0.00 203 decs427 apply -0 -> #a2500000 204 decs428 apply #a2500000 -> -0 205 decs429 apply -0E+3 -> #a2800000 206 decs430 apply #a2800000 -> -0E+3 207 decs431 apply -0E+90 -> #c3f00000 208 decs432 apply #c3f00000 -> -0E+90 209 -- clamped zeros... 210 decs433 apply -0E+91 -> #c3f00000 Clamped 211 decs434 apply #c3f00000 -> -0E+90 212 decs435 apply -0E+96 -> #c3f00000 Clamped 213 decs436 apply #c3f00000 -> -0E+90 214 decs437 apply -0E+400 -> #c3f00000 Clamped 215 decs438 apply #c3f00000 -> -0E+90 216 217 -- Specials 218 decs500 apply Infinity -> #78000000 219 decs501 apply #78787878 -> #78000000 220 decs502 apply #78000000 -> Infinity 221 decs503 apply #79797979 -> #78000000 222 decs504 apply #79000000 -> Infinity 223 decs505 apply #7a7a7a7a -> #78000000 224 decs506 apply #7a000000 -> Infinity 225 decs507 apply #7b7b7b7b -> #78000000 226 decs508 apply #7b000000 -> Infinity 227 decs509 apply #7c7c7c7c -> #7c0c7c7c 228 229 decs510 apply NaN -> #7c000000 230 decs511 apply #7c000000 -> NaN 231 decs512 apply #7d7d7d7d -> #7c0d7d7d 232 decs513 apply #7d000000 -> NaN 233 decs514 apply #7e7e7e7e -> #7e0e7c7e 234 decs515 apply #7e000000 -> sNaN 235 decs516 apply #7f7f7f7f -> #7e0f7c7f 236 decs517 apply #7f000000 -> sNaN 237 decs518 apply #7fffffff -> sNaN999999 238 decs519 apply #7fffffff -> #7e03fcff 239 240 decs520 apply -Infinity -> #f8000000 241 decs521 apply #f8787878 -> #f8000000 242 decs522 apply #f8000000 -> -Infinity 243 decs523 apply #f9797979 -> #f8000000 244 decs524 apply #f9000000 -> -Infinity 245 decs525 apply #fa7a7a7a -> #f8000000 246 decs526 apply #fa000000 -> -Infinity 247 decs527 apply #fb7b7b7b -> #f8000000 248 decs528 apply #fb000000 -> -Infinity 249 250 decs529 apply -NaN -> #fc000000 251 decs530 apply #fc7c7c7c -> #fc0c7c7c 252 decs531 apply #fc000000 -> -NaN 253 decs532 apply #fd7d7d7d -> #fc0d7d7d 254 decs533 apply #fd000000 -> -NaN 255 decs534 apply #fe7e7e7e -> #fe0e7c7e 256 decs535 apply #fe000000 -> -sNaN 257 decs536 apply #ff7f7f7f -> #fe0f7c7f 258 decs537 apply #ff000000 -> -sNaN 259 decs538 apply #ffffffff -> -sNaN999999 260 decs539 apply #ffffffff -> #fe03fcff 261 262 -- diagnostic NaNs 263 decs540 apply NaN -> #7c000000 264 decs541 apply NaN0 -> #7c000000 265 decs542 apply NaN1 -> #7c000001 266 decs543 apply NaN12 -> #7c000012 267 decs544 apply NaN79 -> #7c000079 268 decs545 apply NaN12345 -> #7c0049c5 269 decs546 apply NaN123456 -> #7c028e56 270 decs547 apply NaN799799 -> #7c0f7fdf 271 decs548 apply NaN999999 -> #7c03fcff 272 273 274 -- fold-down full sequence 275 decs601 apply 1E+96 -> #47f00000 Clamped 276 decs602 apply #47f00000 -> 1.000000E+96 277 decs603 apply 1E+95 -> #43f20000 Clamped 278 decs604 apply #43f20000 -> 1.00000E+95 279 decs605 apply 1E+94 -> #43f04000 Clamped 280 decs606 apply #43f04000 -> 1.0000E+94 281 decs607 apply 1E+93 -> #43f00400 Clamped 282 decs608 apply #43f00400 -> 1.000E+93 283 decs609 apply 1E+92 -> #43f00080 Clamped 284 decs610 apply #43f00080 -> 1.00E+92 285 decs611 apply 1E+91 -> #43f00010 Clamped 286 decs612 apply #43f00010 -> 1.0E+91 287 decs613 apply 1E+90 -> #43f00001 288 decs614 apply #43f00001 -> 1E+90 289 290 291 -- Selected DPD codes 292 decs700 apply #22500000 -> 0 293 decs701 apply #22500009 -> 9 294 decs702 apply #22500010 -> 10 295 decs703 apply #22500019 -> 19 296 decs704 apply #22500020 -> 20 297 decs705 apply #22500029 -> 29 298 decs706 apply #22500030 -> 30 299 decs707 apply #22500039 -> 39 300 decs708 apply #22500040 -> 40 301 decs709 apply #22500049 -> 49 302 decs710 apply #22500050 -> 50 303 decs711 apply #22500059 -> 59 304 decs712 apply #22500060 -> 60 305 decs713 apply #22500069 -> 69 306 decs714 apply #22500070 -> 70 307 decs715 apply #22500071 -> 71 308 decs716 apply #22500072 -> 72 309 decs717 apply #22500073 -> 73 310 decs718 apply #22500074 -> 74 311 decs719 apply #22500075 -> 75 312 decs720 apply #22500076 -> 76 313 decs721 apply #22500077 -> 77 314 decs722 apply #22500078 -> 78 315 decs723 apply #22500079 -> 79 316 317 decs730 apply #2250029e -> 994 318 decs731 apply #2250029f -> 995 319 decs732 apply #225002a0 -> 520 320 decs733 apply #225002a1 -> 521 321 322 -- DPD: one of each of the huffman groups 323 decs740 apply #225003f7 -> 777 324 decs741 apply #225003f8 -> 778 325 decs742 apply #225003eb -> 787 326 decs743 apply #2250037d -> 877 327 decs744 apply #2250039f -> 997 328 decs745 apply #225003bf -> 979 329 decs746 apply #225003df -> 799 330 decs747 apply #2250006e -> 888 331 332 333 -- DPD all-highs cases (includes the 24 redundant codes) 334 decs750 apply #2250006e -> 888 335 decs751 apply #2250016e -> 888 336 decs752 apply #2250026e -> 888 337 decs753 apply #2250036e -> 888 338 decs754 apply #2250006f -> 889 339 decs755 apply #2250016f -> 889 340 decs756 apply #2250026f -> 889 341 decs757 apply #2250036f -> 889 342 343 decs760 apply #2250007e -> 898 344 decs761 apply #2250017e -> 898 345 decs762 apply #2250027e -> 898 346 decs763 apply #2250037e -> 898 347 decs764 apply #2250007f -> 899 348 decs765 apply #2250017f -> 899 349 decs766 apply #2250027f -> 899 350 decs767 apply #2250037f -> 899 351 352 decs770 apply #225000ee -> 988 353 decs771 apply #225001ee -> 988 354 decs772 apply #225002ee -> 988 355 decs773 apply #225003ee -> 988 356 decs774 apply #225000ef -> 989 357 decs775 apply #225001ef -> 989 358 decs776 apply #225002ef -> 989 359 decs777 apply #225003ef -> 989 360 361 decs780 apply #225000fe -> 998 362 decs781 apply #225001fe -> 998 363 decs782 apply #225002fe -> 998 364 decs783 apply #225003fe -> 998 365 decs784 apply #225000ff -> 999 366 decs785 apply #225001ff -> 999 367 decs786 apply #225002ff -> 999 368 decs787 apply #225003ff -> 999 369 370 -- narrowing case 371 decs790 apply 2.00E-99 -> #00000100 Subnormal 372 decs791 apply #00000100 -> 2.00E-99 Subnormal 373
