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