1------------------------------------------------------------------------ 2-- ddMin.decTest -- decDouble minnum -- 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@uk.ibm.com -- 19------------------------------------------------------------------------ 20version: 2.59 21 22-- we assume that base comparison is tested in compare.decTest, so 23-- these mainly cover special cases and rounding 24precision: 16 25maxExponent: 384 26minExponent: -383 27extended: 1 28clamp: 1 29rounding: half_even 30 31-- sanity checks 32ddmin001 min -2 -2 -> -2 33ddmin002 min -2 -1 -> -2 34ddmin003 min -2 0 -> -2 35ddmin004 min -2 1 -> -2 36ddmin005 min -2 2 -> -2 37ddmin006 min -1 -2 -> -2 38ddmin007 min -1 -1 -> -1 39ddmin008 min -1 0 -> -1 40ddmin009 min -1 1 -> -1 41ddmin010 min -1 2 -> -1 42ddmin011 min 0 -2 -> -2 43ddmin012 min 0 -1 -> -1 44ddmin013 min 0 0 -> 0 45ddmin014 min 0 1 -> 0 46ddmin015 min 0 2 -> 0 47ddmin016 min 1 -2 -> -2 48ddmin017 min 1 -1 -> -1 49ddmin018 min 1 0 -> 0 50ddmin019 min 1 1 -> 1 51ddmin020 min 1 2 -> 1 52ddmin021 min 2 -2 -> -2 53ddmin022 min 2 -1 -> -1 54ddmin023 min 2 0 -> 0 55ddmin025 min 2 1 -> 1 56ddmin026 min 2 2 -> 2 57 58-- extended zeros 59ddmin030 min 0 0 -> 0 60ddmin031 min 0 -0 -> -0 61ddmin032 min 0 -0.0 -> -0.0 62ddmin033 min 0 0.0 -> 0.0 63ddmin034 min -0 0 -> -0 64ddmin035 min -0 -0 -> -0 65ddmin036 min -0 -0.0 -> -0 66ddmin037 min -0 0.0 -> -0 67ddmin038 min 0.0 0 -> 0.0 68ddmin039 min 0.0 -0 -> -0 69ddmin040 min 0.0 -0.0 -> -0.0 70ddmin041 min 0.0 0.0 -> 0.0 71ddmin042 min -0.0 0 -> -0.0 72ddmin043 min -0.0 -0 -> -0 73ddmin044 min -0.0 -0.0 -> -0.0 74ddmin045 min -0.0 0.0 -> -0.0 75 76ddmin046 min 0E1 -0E1 -> -0E+1 77ddmin047 min -0E1 0E2 -> -0E+1 78ddmin048 min 0E2 0E1 -> 0E+1 79ddmin049 min 0E1 0E2 -> 0E+1 80ddmin050 min -0E3 -0E2 -> -0E+3 81ddmin051 min -0E2 -0E3 -> -0E+3 82 83-- Specials 84ddmin090 min Inf -Inf -> -Infinity 85ddmin091 min Inf -1000 -> -1000 86ddmin092 min Inf -1 -> -1 87ddmin093 min Inf -0 -> -0 88ddmin094 min Inf 0 -> 0 89ddmin095 min Inf 1 -> 1 90ddmin096 min Inf 1000 -> 1000 91ddmin097 min Inf Inf -> Infinity 92ddmin098 min -1000 Inf -> -1000 93ddmin099 min -Inf Inf -> -Infinity 94ddmin100 min -1 Inf -> -1 95ddmin101 min -0 Inf -> -0 96ddmin102 min 0 Inf -> 0 97ddmin103 min 1 Inf -> 1 98ddmin104 min 1000 Inf -> 1000 99ddmin105 min Inf Inf -> Infinity 100 101ddmin120 min -Inf -Inf -> -Infinity 102ddmin121 min -Inf -1000 -> -Infinity 103ddmin122 min -Inf -1 -> -Infinity 104ddmin123 min -Inf -0 -> -Infinity 105ddmin124 min -Inf 0 -> -Infinity 106ddmin125 min -Inf 1 -> -Infinity 107ddmin126 min -Inf 1000 -> -Infinity 108ddmin127 min -Inf Inf -> -Infinity 109ddmin128 min -Inf -Inf -> -Infinity 110ddmin129 min -1000 -Inf -> -Infinity 111ddmin130 min -1 -Inf -> -Infinity 112ddmin131 min -0 -Inf -> -Infinity 113ddmin132 min 0 -Inf -> -Infinity 114ddmin133 min 1 -Inf -> -Infinity 115ddmin134 min 1000 -Inf -> -Infinity 116ddmin135 min Inf -Inf -> -Infinity 117 118-- 2004.08.02 754r chooses number over NaN in mixed cases 119ddmin141 min NaN -Inf -> -Infinity 120ddmin142 min NaN -1000 -> -1000 121ddmin143 min NaN -1 -> -1 122ddmin144 min NaN -0 -> -0 123ddmin145 min NaN 0 -> 0 124ddmin146 min NaN 1 -> 1 125ddmin147 min NaN 1000 -> 1000 126ddmin148 min NaN Inf -> Infinity 127ddmin149 min NaN NaN -> NaN 128ddmin150 min -Inf NaN -> -Infinity 129ddmin151 min -1000 NaN -> -1000 130ddmin152 min -1 -NaN -> -1 131ddmin153 min -0 NaN -> -0 132ddmin154 min 0 -NaN -> 0 133ddmin155 min 1 NaN -> 1 134ddmin156 min 1000 NaN -> 1000 135ddmin157 min Inf NaN -> Infinity 136 137ddmin161 min sNaN -Inf -> NaN Invalid_operation 138ddmin162 min sNaN -1000 -> NaN Invalid_operation 139ddmin163 min sNaN -1 -> NaN Invalid_operation 140ddmin164 min sNaN -0 -> NaN Invalid_operation 141ddmin165 min -sNaN 0 -> -NaN Invalid_operation 142ddmin166 min -sNaN 1 -> -NaN Invalid_operation 143ddmin167 min sNaN 1000 -> NaN Invalid_operation 144ddmin168 min sNaN NaN -> NaN Invalid_operation 145ddmin169 min sNaN sNaN -> NaN Invalid_operation 146ddmin170 min NaN sNaN -> NaN Invalid_operation 147ddmin171 min -Inf sNaN -> NaN Invalid_operation 148ddmin172 min -1000 sNaN -> NaN Invalid_operation 149ddmin173 min -1 sNaN -> NaN Invalid_operation 150ddmin174 min -0 sNaN -> NaN Invalid_operation 151ddmin175 min 0 sNaN -> NaN Invalid_operation 152ddmin176 min 1 sNaN -> NaN Invalid_operation 153ddmin177 min 1000 sNaN -> NaN Invalid_operation 154ddmin178 min Inf sNaN -> NaN Invalid_operation 155ddmin179 min NaN sNaN -> NaN Invalid_operation 156 157-- propagating NaNs 158ddmin181 min NaN9 -Inf -> -Infinity 159ddmin182 min -NaN8 9990 -> 9990 160ddmin183 min NaN71 Inf -> Infinity 161 162ddmin184 min NaN1 NaN54 -> NaN1 163ddmin185 min NaN22 -NaN53 -> NaN22 164ddmin186 min -NaN3 NaN6 -> -NaN3 165ddmin187 min -NaN44 NaN7 -> -NaN44 166 167ddmin188 min -Inf NaN41 -> -Infinity 168ddmin189 min -9999 -NaN33 -> -9999 169ddmin190 min Inf NaN2 -> Infinity 170 171ddmin191 min sNaN99 -Inf -> NaN99 Invalid_operation 172ddmin192 min sNaN98 -11 -> NaN98 Invalid_operation 173ddmin193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation 174ddmin194 min sNaN69 sNaN94 -> NaN69 Invalid_operation 175ddmin195 min NaN95 sNaN93 -> NaN93 Invalid_operation 176ddmin196 min -Inf sNaN92 -> NaN92 Invalid_operation 177ddmin197 min 088 sNaN91 -> NaN91 Invalid_operation 178ddmin198 min Inf -sNaN90 -> -NaN90 Invalid_operation 179ddmin199 min NaN sNaN86 -> NaN86 Invalid_operation 180 181-- old rounding checks 182ddmin221 min -12345678000 1 -> -12345678000 183ddmin222 min 1 -12345678000 -> -12345678000 184ddmin223 min -1234567800 1 -> -1234567800 185ddmin224 min 1 -1234567800 -> -1234567800 186ddmin225 min -1234567890 1 -> -1234567890 187ddmin226 min 1 -1234567890 -> -1234567890 188ddmin227 min -1234567891 1 -> -1234567891 189ddmin228 min 1 -1234567891 -> -1234567891 190ddmin229 min -12345678901 1 -> -12345678901 191ddmin230 min 1 -12345678901 -> -12345678901 192ddmin231 min -1234567896 1 -> -1234567896 193ddmin232 min 1 -1234567896 -> -1234567896 194ddmin233 min 1234567891 1 -> 1 195ddmin234 min 1 1234567891 -> 1 196ddmin235 min 12345678901 1 -> 1 197ddmin236 min 1 12345678901 -> 1 198ddmin237 min 1234567896 1 -> 1 199ddmin238 min 1 1234567896 -> 1 200 201-- from examples 202ddmin280 min '3' '2' -> '2' 203ddmin281 min '-10' '3' -> '-10' 204ddmin282 min '1.0' '1' -> '1.0' 205ddmin283 min '1' '1.0' -> '1.0' 206ddmin284 min '7' 'NaN' -> '7' 207 208-- expanded list from min/max 754r purple prose 209-- [explicit tests for exponent ordering] 210ddmin401 min Inf 1.1 -> 1.1 211ddmin402 min 1.1 1 -> 1 212ddmin403 min 1 1.0 -> 1.0 213ddmin404 min 1.0 0.1 -> 0.1 214ddmin405 min 0.1 0.10 -> 0.10 215ddmin406 min 0.10 0.100 -> 0.100 216ddmin407 min 0.10 0 -> 0 217ddmin408 min 0 0.0 -> 0.0 218ddmin409 min 0.0 -0 -> -0 219ddmin410 min 0.0 -0.0 -> -0.0 220ddmin411 min 0.00 -0.0 -> -0.0 221ddmin412 min 0.0 -0.00 -> -0.00 222ddmin413 min 0 -0.0 -> -0.0 223ddmin414 min 0 -0 -> -0 224ddmin415 min -0.0 -0 -> -0 225ddmin416 min -0 -0.100 -> -0.100 226ddmin417 min -0.100 -0.10 -> -0.10 227ddmin418 min -0.10 -0.1 -> -0.1 228ddmin419 min -0.1 -1.0 -> -1.0 229ddmin420 min -1.0 -1 -> -1 230ddmin421 min -1 -1.1 -> -1.1 231ddmin423 min -1.1 -Inf -> -Infinity 232-- same with operands reversed 233ddmin431 min 1.1 Inf -> 1.1 234ddmin432 min 1 1.1 -> 1 235ddmin433 min 1.0 1 -> 1.0 236ddmin434 min 0.1 1.0 -> 0.1 237ddmin435 min 0.10 0.1 -> 0.10 238ddmin436 min 0.100 0.10 -> 0.100 239ddmin437 min 0 0.10 -> 0 240ddmin438 min 0.0 0 -> 0.0 241ddmin439 min -0 0.0 -> -0 242ddmin440 min -0.0 0.0 -> -0.0 243ddmin441 min -0.0 0.00 -> -0.0 244ddmin442 min -0.00 0.0 -> -0.00 245ddmin443 min -0.0 0 -> -0.0 246ddmin444 min -0 0 -> -0 247ddmin445 min -0 -0.0 -> -0 248ddmin446 min -0.100 -0 -> -0.100 249ddmin447 min -0.10 -0.100 -> -0.10 250ddmin448 min -0.1 -0.10 -> -0.1 251ddmin449 min -1.0 -0.1 -> -1.0 252ddmin450 min -1 -1.0 -> -1 253ddmin451 min -1.1 -1 -> -1.1 254ddmin453 min -Inf -1.1 -> -Infinity 255-- largies 256ddmin460 min 1000 1E+3 -> 1000 257ddmin461 min 1E+3 1000 -> 1000 258ddmin462 min 1000 -1E+3 -> -1E+3 259ddmin463 min 1E+3 -384 -> -384 260ddmin464 min -384 1E+3 -> -384 261ddmin465 min -1E+3 1000 -> -1E+3 262ddmin466 min -384 -1E+3 -> -1E+3 263ddmin467 min -1E+3 -384 -> -1E+3 264 265-- misalignment traps for little-endian 266ddmin471 min 1.0 0.1 -> 0.1 267ddmin472 min 0.1 1.0 -> 0.1 268ddmin473 min 10.0 0.1 -> 0.1 269ddmin474 min 0.1 10.0 -> 0.1 270ddmin475 min 100 1.0 -> 1.0 271ddmin476 min 1.0 100 -> 1.0 272ddmin477 min 1000 10.0 -> 10.0 273ddmin478 min 10.0 1000 -> 10.0 274ddmin479 min 10000 100.0 -> 100.0 275ddmin480 min 100.0 10000 -> 100.0 276ddmin481 min 100000 1000.0 -> 1000.0 277ddmin482 min 1000.0 100000 -> 1000.0 278ddmin483 min 1000000 10000.0 -> 10000.0 279ddmin484 min 10000.0 1000000 -> 10000.0 280 281-- subnormals 282ddmin510 min 1.00E-383 0 -> 0 283ddmin511 min 0.1E-383 0 -> 0 284ddmin512 min 0.10E-383 0 -> 0 285ddmin513 min 0.100E-383 0 -> 0 286ddmin514 min 0.01E-383 0 -> 0 287ddmin515 min 0.999E-383 0 -> 0 288ddmin516 min 0.099E-383 0 -> 0 289ddmin517 min 0.009E-383 0 -> 0 290ddmin518 min 0.001E-383 0 -> 0 291ddmin519 min 0.0009E-383 0 -> 0 292ddmin520 min 0.0001E-383 0 -> 0 293 294ddmin530 min -1.00E-383 0 -> -1.00E-383 295ddmin531 min -0.1E-383 0 -> -1E-384 Subnormal 296ddmin532 min -0.10E-383 0 -> -1.0E-384 Subnormal 297ddmin533 min -0.100E-383 0 -> -1.00E-384 Subnormal 298ddmin534 min -0.01E-383 0 -> -1E-385 Subnormal 299ddmin535 min -0.999E-383 0 -> -9.99E-384 Subnormal 300ddmin536 min -0.099E-383 0 -> -9.9E-385 Subnormal 301ddmin537 min -0.009E-383 0 -> -9E-386 Subnormal 302ddmin538 min -0.001E-383 0 -> -1E-386 Subnormal 303ddmin539 min -0.0009E-383 0 -> -9E-387 Subnormal 304ddmin540 min -0.0001E-383 0 -> -1E-387 Subnormal 305 306 307-- Null tests 308ddmin900 min 10 # -> NaN Invalid_operation 309ddmin901 min # 10 -> NaN Invalid_operation 310