Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1 | ------/cancell---------------------------------------------------------- |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 2 | -- add.decTest -- decimal addition -- |
Mark Dickinson | fe84cce | 2008-07-27 06:39:07 +0000 | [diff] [blame] | 3 | -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 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 | ------------------------------------------------------------------------ |
Mark Dickinson | 539bff4 | 2009-10-08 16:28:39 +0000 | [diff] [blame] | 20 | version: 2.59 |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 21 | |
| 22 | precision: 9 |
| 23 | rounding: half_up |
| 24 | maxExponent: 384 |
| 25 | minexponent: -383 |
| 26 | extended: 1 |
| 27 | |
| 28 | -- [first group are 'quick confidence check'] |
| 29 | addx001 add 1 1 -> 2 |
| 30 | addx002 add 2 3 -> 5 |
| 31 | addx003 add '5.75' '3.3' -> 9.05 |
| 32 | addx004 add '5' '-3' -> 2 |
| 33 | addx005 add '-5' '-3' -> -8 |
| 34 | addx006 add '-7' '2.5' -> -4.5 |
| 35 | addx007 add '0.7' '0.3' -> 1.0 |
| 36 | addx008 add '1.25' '1.25' -> 2.50 |
| 37 | addx009 add '1.23456789' '1.00000000' -> '2.23456789' |
| 38 | addx010 add '1.23456789' '1.00000011' -> '2.23456800' |
| 39 | |
| 40 | addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded |
| 41 | addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded |
| 42 | addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded |
| 43 | addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded |
| 44 | addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded |
| 45 | addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded |
| 46 | addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded |
| 47 | addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded |
| 48 | addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded |
| 49 | addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded |
| 50 | |
| 51 | addx021 add 0 1 -> 1 |
| 52 | addx022 add 1 1 -> 2 |
| 53 | addx023 add 2 1 -> 3 |
| 54 | addx024 add 3 1 -> 4 |
| 55 | addx025 add 4 1 -> 5 |
| 56 | addx026 add 5 1 -> 6 |
| 57 | addx027 add 6 1 -> 7 |
| 58 | addx028 add 7 1 -> 8 |
| 59 | addx029 add 8 1 -> 9 |
| 60 | addx030 add 9 1 -> 10 |
| 61 | |
| 62 | -- some carrying effects |
| 63 | addx031 add '0.9998' '0.0000' -> '0.9998' |
| 64 | addx032 add '0.9998' '0.0001' -> '0.9999' |
| 65 | addx033 add '0.9998' '0.0002' -> '1.0000' |
| 66 | addx034 add '0.9998' '0.0003' -> '1.0001' |
| 67 | |
| 68 | addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded |
| 69 | addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded |
| 70 | addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded |
| 71 | addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded |
| 72 | addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded |
| 73 | |
| 74 | -- symmetry: |
| 75 | addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded |
| 76 | addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded |
| 77 | addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded |
| 78 | addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded |
| 79 | addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded |
| 80 | |
| 81 | -- same, higher precision |
| 82 | precision: 15 |
| 83 | addx046 add '10000e+9' '7' -> '10000000000007' |
| 84 | addx047 add '10000e+9' '70' -> '10000000000070' |
| 85 | addx048 add '10000e+9' '700' -> '10000000000700' |
| 86 | addx049 add '10000e+9' '7000' -> '10000000007000' |
| 87 | addx050 add '10000e+9' '70000' -> '10000000070000' |
| 88 | addx051 add '10000e+9' '700000' -> '10000000700000' |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 89 | addx052 add '10000e+9' '7000000' -> '10000007000000' |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 90 | |
| 91 | -- examples from decarith |
| 92 | addx053 add '12' '7.00' -> '19.00' |
| 93 | addx054 add '1.3' '-1.07' -> '0.23' |
| 94 | addx055 add '1.3' '-1.30' -> '0.00' |
| 95 | addx056 add '1.3' '-2.07' -> '-0.77' |
| 96 | addx057 add '1E+2' '1E+4' -> '1.01E+4' |
| 97 | |
| 98 | -- zero preservation |
| 99 | precision: 6 |
| 100 | addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded |
| 101 | addx061 add 1 '0.0001' -> '1.0001' |
| 102 | addx062 add 1 '0.00001' -> '1.00001' |
| 103 | addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded |
| 104 | addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded |
| 105 | addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded |
| 106 | |
| 107 | -- some funny zeros [in case of bad signum] |
| 108 | addx070 add 1 0 -> 1 |
| 109 | addx071 add 1 0. -> 1 |
| 110 | addx072 add 1 .0 -> 1.0 |
| 111 | addx073 add 1 0.0 -> 1.0 |
| 112 | addx074 add 1 0.00 -> 1.00 |
| 113 | addx075 add 0 1 -> 1 |
| 114 | addx076 add 0. 1 -> 1 |
| 115 | addx077 add .0 1 -> 1.0 |
| 116 | addx078 add 0.0 1 -> 1.0 |
| 117 | addx079 add 0.00 1 -> 1.00 |
| 118 | |
| 119 | precision: 9 |
| 120 | |
| 121 | -- some carries |
| 122 | addx080 add 999999998 1 -> 999999999 |
| 123 | addx081 add 999999999 1 -> 1.00000000E+9 Rounded |
| 124 | addx082 add 99999999 1 -> 100000000 |
| 125 | addx083 add 9999999 1 -> 10000000 |
| 126 | addx084 add 999999 1 -> 1000000 |
| 127 | addx085 add 99999 1 -> 100000 |
| 128 | addx086 add 9999 1 -> 10000 |
| 129 | addx087 add 999 1 -> 1000 |
| 130 | addx088 add 99 1 -> 100 |
| 131 | addx089 add 9 1 -> 10 |
| 132 | |
| 133 | |
| 134 | -- more LHS swaps |
| 135 | addx090 add '-56267E-10' 0 -> '-0.0000056267' |
| 136 | addx091 add '-56267E-6' 0 -> '-0.056267' |
| 137 | addx092 add '-56267E-5' 0 -> '-0.56267' |
| 138 | addx093 add '-56267E-4' 0 -> '-5.6267' |
| 139 | addx094 add '-56267E-3' 0 -> '-56.267' |
| 140 | addx095 add '-56267E-2' 0 -> '-562.67' |
| 141 | addx096 add '-56267E-1' 0 -> '-5626.7' |
| 142 | addx097 add '-56267E-0' 0 -> '-56267' |
| 143 | addx098 add '-5E-10' 0 -> '-5E-10' |
| 144 | addx099 add '-5E-7' 0 -> '-5E-7' |
| 145 | addx100 add '-5E-6' 0 -> '-0.000005' |
| 146 | addx101 add '-5E-5' 0 -> '-0.00005' |
| 147 | addx102 add '-5E-4' 0 -> '-0.0005' |
| 148 | addx103 add '-5E-1' 0 -> '-0.5' |
| 149 | addx104 add '-5E0' 0 -> '-5' |
| 150 | addx105 add '-5E1' 0 -> '-50' |
| 151 | addx106 add '-5E5' 0 -> '-500000' |
| 152 | addx107 add '-5E8' 0 -> '-500000000' |
| 153 | addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded |
| 154 | addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded |
| 155 | addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded |
| 156 | addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded |
| 157 | |
| 158 | -- more RHS swaps |
| 159 | addx113 add 0 '-56267E-10' -> '-0.0000056267' |
| 160 | addx114 add 0 '-56267E-6' -> '-0.056267' |
| 161 | addx116 add 0 '-56267E-5' -> '-0.56267' |
| 162 | addx117 add 0 '-56267E-4' -> '-5.6267' |
| 163 | addx119 add 0 '-56267E-3' -> '-56.267' |
| 164 | addx120 add 0 '-56267E-2' -> '-562.67' |
| 165 | addx121 add 0 '-56267E-1' -> '-5626.7' |
| 166 | addx122 add 0 '-56267E-0' -> '-56267' |
| 167 | addx123 add 0 '-5E-10' -> '-5E-10' |
| 168 | addx124 add 0 '-5E-7' -> '-5E-7' |
| 169 | addx125 add 0 '-5E-6' -> '-0.000005' |
| 170 | addx126 add 0 '-5E-5' -> '-0.00005' |
| 171 | addx127 add 0 '-5E-4' -> '-0.0005' |
| 172 | addx128 add 0 '-5E-1' -> '-0.5' |
| 173 | addx129 add 0 '-5E0' -> '-5' |
| 174 | addx130 add 0 '-5E1' -> '-50' |
| 175 | addx131 add 0 '-5E5' -> '-500000' |
| 176 | addx132 add 0 '-5E8' -> '-500000000' |
| 177 | addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded |
| 178 | addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded |
| 179 | addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded |
| 180 | addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded |
| 181 | |
| 182 | -- related |
| 183 | addx137 add 1 '0E-12' -> '1.00000000' Rounded |
| 184 | addx138 add -1 '0E-12' -> '-1.00000000' Rounded |
| 185 | addx139 add '0E-12' 1 -> '1.00000000' Rounded |
| 186 | addx140 add '0E-12' -1 -> '-1.00000000' Rounded |
| 187 | addx141 add 1E+4 0.0000 -> '10000.0000' |
| 188 | addx142 add 1E+4 0.00000 -> '10000.0000' Rounded |
| 189 | addx143 add 0.000 1E+5 -> '100000.000' |
| 190 | addx144 add 0.0000 1E+5 -> '100000.000' Rounded |
| 191 | |
| 192 | -- [some of the next group are really constructor tests] |
| 193 | addx146 add '00.0' 0 -> '0.0' |
| 194 | addx147 add '0.00' 0 -> '0.00' |
| 195 | addx148 add 0 '0.00' -> '0.00' |
| 196 | addx149 add 0 '00.0' -> '0.0' |
| 197 | addx150 add '00.0' '0.00' -> '0.00' |
| 198 | addx151 add '0.00' '00.0' -> '0.00' |
| 199 | addx152 add '3' '.3' -> '3.3' |
| 200 | addx153 add '3.' '.3' -> '3.3' |
| 201 | addx154 add '3.0' '.3' -> '3.3' |
| 202 | addx155 add '3.00' '.3' -> '3.30' |
| 203 | addx156 add '3' '3' -> '6' |
| 204 | addx157 add '3' '+3' -> '6' |
| 205 | addx158 add '3' '-3' -> '0' |
| 206 | addx159 add '0.3' '-0.3' -> '0.0' |
| 207 | addx160 add '0.03' '-0.03' -> '0.00' |
| 208 | |
| 209 | -- try borderline precision, with carries, etc. |
| 210 | precision: 15 |
| 211 | addx161 add '1E+12' '-1' -> '999999999999' |
| 212 | addx162 add '1E+12' '1.11' -> '1000000000001.11' |
| 213 | addx163 add '1.11' '1E+12' -> '1000000000001.11' |
| 214 | addx164 add '-1' '1E+12' -> '999999999999' |
| 215 | addx165 add '7E+12' '-1' -> '6999999999999' |
| 216 | addx166 add '7E+12' '1.11' -> '7000000000001.11' |
| 217 | addx167 add '1.11' '7E+12' -> '7000000000001.11' |
| 218 | addx168 add '-1' '7E+12' -> '6999999999999' |
| 219 | |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 220 | -- 123456789012345 123456789012345 1 23456789012345 |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 221 | addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded |
| 222 | addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded |
| 223 | addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded |
| 224 | addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded |
| 225 | addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded |
| 226 | addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded |
| 227 | addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded |
| 228 | addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded |
| 229 | addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999' |
| 230 | addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998' |
| 231 | addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997' |
| 232 | addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996' |
| 233 | addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995' |
| 234 | addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994' |
| 235 | |
| 236 | -- and some more, including residue effects and different roundings |
| 237 | precision: 9 |
| 238 | rounding: half_up |
| 239 | addx200 add '123456789' 0 -> '123456789' |
| 240 | addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded |
| 241 | addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded |
| 242 | addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded |
| 243 | addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded |
| 244 | addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded |
| 245 | addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded |
| 246 | addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded |
| 247 | addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded |
| 248 | addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded |
| 249 | addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded |
| 250 | addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded |
| 251 | addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded |
| 252 | addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded |
| 253 | addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded |
| 254 | addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded |
| 255 | addx216 add '123456789' 1 -> '123456790' |
| 256 | addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded |
| 257 | addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded |
| 258 | addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded |
| 259 | |
| 260 | rounding: half_even |
| 261 | addx220 add '123456789' 0 -> '123456789' |
| 262 | addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded |
| 263 | addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded |
| 264 | addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded |
| 265 | addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded |
| 266 | addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded |
| 267 | addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded |
| 268 | addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded |
| 269 | addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded |
| 270 | addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded |
| 271 | addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded |
| 272 | addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded |
| 273 | addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded |
| 274 | addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded |
| 275 | addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded |
| 276 | addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded |
| 277 | addx236 add '123456789' 1 -> '123456790' |
| 278 | addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded |
| 279 | addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded |
| 280 | addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded |
| 281 | -- critical few with even bottom digit... |
| 282 | addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded |
| 283 | addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded |
| 284 | addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded |
| 285 | |
| 286 | rounding: down |
| 287 | addx250 add '123456789' 0 -> '123456789' |
| 288 | addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded |
| 289 | addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded |
| 290 | addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded |
| 291 | addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded |
| 292 | addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded |
| 293 | addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded |
| 294 | addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded |
| 295 | addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded |
| 296 | addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded |
| 297 | addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded |
| 298 | addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded |
| 299 | addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded |
| 300 | addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded |
| 301 | addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded |
| 302 | addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded |
| 303 | addx266 add '123456789' 1 -> '123456790' |
| 304 | addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded |
| 305 | addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded |
| 306 | addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded |
| 307 | |
| 308 | -- input preparation tests (operands should not be rounded) |
| 309 | precision: 3 |
| 310 | rounding: half_up |
| 311 | |
| 312 | addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded |
| 313 | addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded |
| 314 | |
| 315 | addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded |
| 316 | addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded |
| 317 | addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded |
| 318 | addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded |
| 319 | addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded |
| 320 | addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded |
| 321 | addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded |
| 322 | |
| 323 | addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded |
| 324 | addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded |
| 325 | addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded |
| 326 | addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded |
| 327 | addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded |
| 328 | addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded |
| 329 | addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded |
| 330 | |
| 331 | rounding: half_down |
| 332 | addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded |
| 333 | addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded |
| 334 | addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded |
| 335 | addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded |
| 336 | addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded |
| 337 | addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded |
| 338 | addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded |
| 339 | |
| 340 | -- 1 in last place tests |
| 341 | rounding: half_up |
| 342 | addx301 add -1 1 -> 0 |
| 343 | addx302 add 0 1 -> 1 |
| 344 | addx303 add 1 1 -> 2 |
| 345 | addx304 add 12 1 -> 13 |
| 346 | addx305 add 98 1 -> 99 |
| 347 | addx306 add 99 1 -> 100 |
| 348 | addx307 add 100 1 -> 101 |
| 349 | addx308 add 101 1 -> 102 |
| 350 | addx309 add -1 -1 -> -2 |
| 351 | addx310 add 0 -1 -> -1 |
| 352 | addx311 add 1 -1 -> 0 |
| 353 | addx312 add 12 -1 -> 11 |
| 354 | addx313 add 98 -1 -> 97 |
| 355 | addx314 add 99 -1 -> 98 |
| 356 | addx315 add 100 -1 -> 99 |
| 357 | addx316 add 101 -1 -> 100 |
| 358 | |
| 359 | addx321 add -0.01 0.01 -> 0.00 |
| 360 | addx322 add 0.00 0.01 -> 0.01 |
| 361 | addx323 add 0.01 0.01 -> 0.02 |
| 362 | addx324 add 0.12 0.01 -> 0.13 |
| 363 | addx325 add 0.98 0.01 -> 0.99 |
| 364 | addx326 add 0.99 0.01 -> 1.00 |
| 365 | addx327 add 1.00 0.01 -> 1.01 |
| 366 | addx328 add 1.01 0.01 -> 1.02 |
| 367 | addx329 add -0.01 -0.01 -> -0.02 |
| 368 | addx330 add 0.00 -0.01 -> -0.01 |
| 369 | addx331 add 0.01 -0.01 -> 0.00 |
| 370 | addx332 add 0.12 -0.01 -> 0.11 |
| 371 | addx333 add 0.98 -0.01 -> 0.97 |
| 372 | addx334 add 0.99 -0.01 -> 0.98 |
| 373 | addx335 add 1.00 -0.01 -> 0.99 |
| 374 | addx336 add 1.01 -0.01 -> 1.00 |
| 375 | |
| 376 | -- some more cases where adding 0 affects the coefficient |
| 377 | precision: 9 |
| 378 | addx340 add 1E+3 0 -> 1000 |
| 379 | addx341 add 1E+8 0 -> 100000000 |
| 380 | addx342 add 1E+9 0 -> 1.00000000E+9 Rounded |
| 381 | addx343 add 1E+10 0 -> 1.00000000E+10 Rounded |
| 382 | -- which simply follow from these cases ... |
| 383 | addx344 add 1E+3 1 -> 1001 |
| 384 | addx345 add 1E+8 1 -> 100000001 |
| 385 | addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded |
| 386 | addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded |
| 387 | addx348 add 1E+3 7 -> 1007 |
| 388 | addx349 add 1E+8 7 -> 100000007 |
| 389 | addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded |
| 390 | addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded |
| 391 | |
| 392 | -- tryzeros cases |
| 393 | precision: 7 |
| 394 | rounding: half_up |
| 395 | maxExponent: 92 |
| 396 | minexponent: -92 |
| 397 | addx361 add 0E+50 10000E+1 -> 1.0000E+5 |
| 398 | addx362 add 10000E+1 0E-50 -> 100000.0 Rounded |
| 399 | addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 400 | addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86 |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 401 | |
| 402 | -- a curiosity from JSR 13 testing |
| 403 | rounding: half_down |
| 404 | precision: 10 |
| 405 | addx370 add 99999999 81512 -> 100081511 |
| 406 | precision: 6 |
| 407 | addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact |
| 408 | rounding: half_up |
| 409 | precision: 10 |
| 410 | addx372 add 99999999 81512 -> 100081511 |
| 411 | precision: 6 |
| 412 | addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact |
| 413 | rounding: half_even |
| 414 | precision: 10 |
| 415 | addx374 add 99999999 81512 -> 100081511 |
| 416 | precision: 6 |
| 417 | addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact |
| 418 | |
| 419 | -- ulp replacement tests |
| 420 | precision: 9 |
| 421 | maxexponent: 999999999 |
| 422 | minexponent: -999999999 |
| 423 | addx400 add 1 77e-7 -> 1.0000077 |
| 424 | addx401 add 1 77e-8 -> 1.00000077 |
| 425 | addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded |
| 426 | addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded |
| 427 | addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded |
| 428 | addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded |
| 429 | addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded |
| 430 | addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded |
| 431 | |
| 432 | addx410 add 10 77e-7 -> 10.0000077 |
| 433 | addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded |
| 434 | addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded |
| 435 | addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded |
| 436 | addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded |
| 437 | addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded |
| 438 | addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded |
| 439 | addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded |
| 440 | |
| 441 | addx420 add 77e-7 1 -> 1.0000077 |
| 442 | addx421 add 77e-8 1 -> 1.00000077 |
| 443 | addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded |
| 444 | addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded |
| 445 | addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded |
| 446 | addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded |
| 447 | addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded |
| 448 | addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded |
| 449 | |
| 450 | addx430 add 77e-7 10 -> 10.0000077 |
| 451 | addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded |
| 452 | addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded |
| 453 | addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded |
| 454 | addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded |
| 455 | addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded |
| 456 | addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded |
| 457 | addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded |
| 458 | |
| 459 | -- negative ulps |
| 460 | addx440 add 1 -77e-7 -> 0.9999923 |
| 461 | addx441 add 1 -77e-8 -> 0.99999923 |
| 462 | addx442 add 1 -77e-9 -> 0.999999923 |
| 463 | addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded |
| 464 | addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded |
| 465 | addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded |
| 466 | addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded |
| 467 | addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded |
| 468 | |
| 469 | addx450 add 10 -77e-7 -> 9.9999923 |
| 470 | addx451 add 10 -77e-8 -> 9.99999923 |
| 471 | addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded |
| 472 | addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded |
| 473 | addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded |
| 474 | addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded |
| 475 | addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded |
| 476 | addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded |
| 477 | |
| 478 | addx460 add -77e-7 1 -> 0.9999923 |
| 479 | addx461 add -77e-8 1 -> 0.99999923 |
| 480 | addx462 add -77e-9 1 -> 0.999999923 |
| 481 | addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded |
| 482 | addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded |
| 483 | addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded |
| 484 | addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded |
| 485 | addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded |
| 486 | |
| 487 | addx470 add -77e-7 10 -> 9.9999923 |
| 488 | addx471 add -77e-8 10 -> 9.99999923 |
| 489 | addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded |
| 490 | addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded |
| 491 | addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded |
| 492 | addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded |
| 493 | addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded |
| 494 | addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded |
| 495 | |
| 496 | -- negative ulps |
| 497 | addx480 add -1 77e-7 -> -0.9999923 |
| 498 | addx481 add -1 77e-8 -> -0.99999923 |
| 499 | addx482 add -1 77e-9 -> -0.999999923 |
| 500 | addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded |
| 501 | addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded |
| 502 | addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded |
| 503 | addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded |
| 504 | addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded |
| 505 | |
| 506 | addx490 add -10 77e-7 -> -9.9999923 |
| 507 | addx491 add -10 77e-8 -> -9.99999923 |
| 508 | addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded |
| 509 | addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded |
| 510 | addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded |
| 511 | addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded |
| 512 | addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded |
| 513 | addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded |
| 514 | |
| 515 | addx500 add 77e-7 -1 -> -0.9999923 |
| 516 | addx501 add 77e-8 -1 -> -0.99999923 |
| 517 | addx502 add 77e-9 -1 -> -0.999999923 |
| 518 | addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded |
| 519 | addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded |
| 520 | addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded |
| 521 | addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded |
| 522 | addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded |
| 523 | |
| 524 | addx510 add 77e-7 -10 -> -9.9999923 |
| 525 | addx511 add 77e-8 -10 -> -9.99999923 |
| 526 | addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded |
| 527 | addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded |
| 528 | addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded |
| 529 | addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded |
| 530 | addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded |
| 531 | addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded |
| 532 | |
| 533 | |
| 534 | -- long operands |
| 535 | maxexponent: 999 |
| 536 | minexponent: -999 |
| 537 | precision: 9 |
| 538 | addx521 add 12345678000 0 -> 1.23456780E+10 Rounded |
| 539 | addx522 add 0 12345678000 -> 1.23456780E+10 Rounded |
| 540 | addx523 add 1234567800 0 -> 1.23456780E+9 Rounded |
| 541 | addx524 add 0 1234567800 -> 1.23456780E+9 Rounded |
| 542 | addx525 add 1234567890 0 -> 1.23456789E+9 Rounded |
| 543 | addx526 add 0 1234567890 -> 1.23456789E+9 Rounded |
| 544 | addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded |
| 545 | addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded |
| 546 | addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded |
| 547 | addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded |
| 548 | addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded |
| 549 | addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded |
| 550 | |
| 551 | precision: 15 |
| 552 | -- still checking |
| 553 | addx541 add 12345678000 0 -> 12345678000 |
| 554 | addx542 add 0 12345678000 -> 12345678000 |
| 555 | addx543 add 1234567800 0 -> 1234567800 |
| 556 | addx544 add 0 1234567800 -> 1234567800 |
| 557 | addx545 add 1234567890 0 -> 1234567890 |
| 558 | addx546 add 0 1234567890 -> 1234567890 |
| 559 | addx547 add 1234567891 0 -> 1234567891 |
| 560 | addx548 add 0 1234567891 -> 1234567891 |
| 561 | addx549 add 12345678901 0 -> 12345678901 |
| 562 | addx550 add 0 12345678901 -> 12345678901 |
| 563 | addx551 add 1234567896 0 -> 1234567896 |
| 564 | addx552 add 0 1234567896 -> 1234567896 |
| 565 | |
| 566 | -- verify a query |
| 567 | precision: 16 |
| 568 | maxExponent: +394 |
| 569 | minExponent: -393 |
| 570 | rounding: down |
| 571 | addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded |
| 572 | addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 573 | -- and using decimal64 bounds (see also ddadd.decTest) |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 574 | precision: 16 |
| 575 | maxExponent: +384 |
| 576 | minExponent: -383 |
| 577 | rounding: down |
| 578 | addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded |
| 579 | addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded |
| 580 | |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 581 | |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 582 | -- some more residue effects with extreme rounding |
| 583 | precision: 9 |
| 584 | rounding: half_up |
| 585 | addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 586 | rounding: half_even |
| 587 | addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 588 | rounding: half_down |
| 589 | addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 590 | rounding: floor |
| 591 | addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 592 | rounding: ceiling |
| 593 | addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded |
| 594 | rounding: up |
| 595 | addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded |
| 596 | rounding: down |
| 597 | addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 598 | |
| 599 | rounding: half_up |
| 600 | addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 601 | rounding: half_even |
| 602 | addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 603 | rounding: half_down |
| 604 | addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 605 | rounding: floor |
| 606 | addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded |
| 607 | rounding: ceiling |
| 608 | addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 609 | rounding: up |
| 610 | addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 611 | rounding: down |
| 612 | addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded |
| 613 | |
| 614 | rounding: half_up |
| 615 | addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 616 | rounding: half_even |
| 617 | addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 618 | rounding: half_down |
| 619 | addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 620 | rounding: floor |
| 621 | addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 622 | rounding: ceiling |
| 623 | addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded |
| 624 | rounding: up |
| 625 | addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded |
| 626 | rounding: down |
| 627 | addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 628 | |
| 629 | rounding: half_up |
| 630 | addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 631 | rounding: half_even |
| 632 | addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 633 | rounding: half_down |
| 634 | addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 635 | rounding: floor |
| 636 | addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded |
| 637 | rounding: ceiling |
| 638 | addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 639 | rounding: up |
| 640 | addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 641 | rounding: down |
| 642 | addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded |
| 643 | |
| 644 | rounding: half_up |
| 645 | addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 646 | rounding: half_even |
| 647 | addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 648 | rounding: half_down |
| 649 | addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 650 | rounding: floor |
| 651 | addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded |
| 652 | rounding: ceiling |
| 653 | addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 654 | rounding: up |
| 655 | addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 656 | rounding: down |
| 657 | addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded |
| 658 | |
| 659 | rounding: half_up |
| 660 | addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 661 | rounding: half_even |
| 662 | addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 663 | rounding: half_down |
| 664 | addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 665 | rounding: floor |
| 666 | addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 667 | rounding: ceiling |
| 668 | addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded |
| 669 | rounding: up |
| 670 | addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded |
| 671 | rounding: down |
| 672 | addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 673 | |
| 674 | -- long operand triangle |
| 675 | rounding: half_up |
| 676 | precision: 37 |
| 677 | addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538 |
| 678 | precision: 36 |
| 679 | addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded |
| 680 | precision: 35 |
| 681 | addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded |
| 682 | precision: 34 |
| 683 | addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded |
| 684 | precision: 33 |
| 685 | addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded |
| 686 | precision: 32 |
| 687 | addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded |
| 688 | precision: 31 |
| 689 | addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded |
| 690 | precision: 30 |
| 691 | addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded |
| 692 | precision: 29 |
| 693 | addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded |
| 694 | precision: 28 |
| 695 | addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded |
| 696 | precision: 27 |
| 697 | addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded |
| 698 | precision: 26 |
| 699 | addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded |
| 700 | precision: 25 |
| 701 | addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded |
| 702 | precision: 24 |
| 703 | addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded |
| 704 | precision: 23 |
| 705 | addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded |
| 706 | precision: 22 |
| 707 | addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded |
| 708 | precision: 21 |
| 709 | addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded |
| 710 | precision: 20 |
| 711 | addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded |
| 712 | precision: 19 |
| 713 | addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded |
| 714 | precision: 18 |
| 715 | addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded |
| 716 | precision: 17 |
| 717 | addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded |
| 718 | precision: 16 |
| 719 | addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded |
| 720 | precision: 15 |
| 721 | addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded |
| 722 | precision: 14 |
| 723 | addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded |
| 724 | precision: 13 |
| 725 | addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded |
| 726 | precision: 12 |
| 727 | addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded |
| 728 | precision: 11 |
| 729 | addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded |
| 730 | precision: 10 |
| 731 | addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded |
| 732 | precision: 9 |
| 733 | addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded |
| 734 | precision: 8 |
| 735 | addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded |
| 736 | precision: 7 |
| 737 | addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded |
| 738 | precision: 6 |
| 739 | addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded |
| 740 | precision: 5 |
| 741 | addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded |
| 742 | precision: 4 |
| 743 | addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded |
| 744 | precision: 3 |
| 745 | addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded |
| 746 | precision: 2 |
| 747 | addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded |
| 748 | precision: 1 |
| 749 | addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded |
| 750 | |
| 751 | -- more zeros, etc. |
| 752 | rounding: half_up |
| 753 | precision: 9 |
| 754 | |
| 755 | addx701 add 5.00 1.00E-3 -> 5.00100 |
| 756 | addx702 add 00.00 0.000 -> 0.000 |
| 757 | addx703 add 00.00 0E-3 -> 0.000 |
| 758 | addx704 add 0E-3 00.00 -> 0.000 |
| 759 | |
| 760 | addx710 add 0E+3 00.00 -> 0.00 |
| 761 | addx711 add 0E+3 00.0 -> 0.0 |
| 762 | addx712 add 0E+3 00. -> 0 |
| 763 | addx713 add 0E+3 00.E+1 -> 0E+1 |
| 764 | addx714 add 0E+3 00.E+2 -> 0E+2 |
| 765 | addx715 add 0E+3 00.E+3 -> 0E+3 |
| 766 | addx716 add 0E+3 00.E+4 -> 0E+3 |
| 767 | addx717 add 0E+3 00.E+5 -> 0E+3 |
| 768 | addx718 add 0E+3 -00.0 -> 0.0 |
| 769 | addx719 add 0E+3 -00. -> 0 |
| 770 | addx731 add 0E+3 -00.E+1 -> 0E+1 |
| 771 | |
| 772 | addx720 add 00.00 0E+3 -> 0.00 |
| 773 | addx721 add 00.0 0E+3 -> 0.0 |
| 774 | addx722 add 00. 0E+3 -> 0 |
| 775 | addx723 add 00.E+1 0E+3 -> 0E+1 |
| 776 | addx724 add 00.E+2 0E+3 -> 0E+2 |
| 777 | addx725 add 00.E+3 0E+3 -> 0E+3 |
| 778 | addx726 add 00.E+4 0E+3 -> 0E+3 |
| 779 | addx727 add 00.E+5 0E+3 -> 0E+3 |
| 780 | addx728 add -00.00 0E+3 -> 0.00 |
| 781 | addx729 add -00.0 0E+3 -> 0.0 |
| 782 | addx730 add -00. 0E+3 -> 0 |
| 783 | |
| 784 | addx732 add 0 0 -> 0 |
| 785 | addx733 add 0 -0 -> 0 |
| 786 | addx734 add -0 0 -> 0 |
| 787 | addx735 add -0 -0 -> -0 -- IEEE 854 special case |
| 788 | |
| 789 | addx736 add 1 -1 -> 0 |
| 790 | addx737 add -1 -1 -> -2 |
| 791 | addx738 add 1 1 -> 2 |
| 792 | addx739 add -1 1 -> 0 |
| 793 | |
| 794 | addx741 add 0 -1 -> -1 |
| 795 | addx742 add -0 -1 -> -1 |
| 796 | addx743 add 0 1 -> 1 |
| 797 | addx744 add -0 1 -> 1 |
| 798 | addx745 add -1 0 -> -1 |
| 799 | addx746 add -1 -0 -> -1 |
| 800 | addx747 add 1 0 -> 1 |
| 801 | addx748 add 1 -0 -> 1 |
| 802 | |
| 803 | addx751 add 0.0 -1 -> -1.0 |
| 804 | addx752 add -0.0 -1 -> -1.0 |
| 805 | addx753 add 0.0 1 -> 1.0 |
| 806 | addx754 add -0.0 1 -> 1.0 |
| 807 | addx755 add -1.0 0 -> -1.0 |
| 808 | addx756 add -1.0 -0 -> -1.0 |
| 809 | addx757 add 1.0 0 -> 1.0 |
| 810 | addx758 add 1.0 -0 -> 1.0 |
| 811 | |
| 812 | addx761 add 0 -1.0 -> -1.0 |
| 813 | addx762 add -0 -1.0 -> -1.0 |
| 814 | addx763 add 0 1.0 -> 1.0 |
| 815 | addx764 add -0 1.0 -> 1.0 |
| 816 | addx765 add -1 0.0 -> -1.0 |
| 817 | addx766 add -1 -0.0 -> -1.0 |
| 818 | addx767 add 1 0.0 -> 1.0 |
| 819 | addx768 add 1 -0.0 -> 1.0 |
| 820 | |
| 821 | addx771 add 0.0 -1.0 -> -1.0 |
| 822 | addx772 add -0.0 -1.0 -> -1.0 |
| 823 | addx773 add 0.0 1.0 -> 1.0 |
| 824 | addx774 add -0.0 1.0 -> 1.0 |
| 825 | addx775 add -1.0 0.0 -> -1.0 |
| 826 | addx776 add -1.0 -0.0 -> -1.0 |
| 827 | addx777 add 1.0 0.0 -> 1.0 |
| 828 | addx778 add 1.0 -0.0 -> 1.0 |
| 829 | |
| 830 | -- Specials |
| 831 | addx780 add -Inf -Inf -> -Infinity |
| 832 | addx781 add -Inf -1000 -> -Infinity |
| 833 | addx782 add -Inf -1 -> -Infinity |
| 834 | addx783 add -Inf -0 -> -Infinity |
| 835 | addx784 add -Inf 0 -> -Infinity |
| 836 | addx785 add -Inf 1 -> -Infinity |
| 837 | addx786 add -Inf 1000 -> -Infinity |
| 838 | addx787 add -1000 -Inf -> -Infinity |
| 839 | addx788 add -Inf -Inf -> -Infinity |
| 840 | addx789 add -1 -Inf -> -Infinity |
| 841 | addx790 add -0 -Inf -> -Infinity |
| 842 | addx791 add 0 -Inf -> -Infinity |
| 843 | addx792 add 1 -Inf -> -Infinity |
| 844 | addx793 add 1000 -Inf -> -Infinity |
| 845 | addx794 add Inf -Inf -> NaN Invalid_operation |
| 846 | |
| 847 | addx800 add Inf -Inf -> NaN Invalid_operation |
| 848 | addx801 add Inf -1000 -> Infinity |
| 849 | addx802 add Inf -1 -> Infinity |
| 850 | addx803 add Inf -0 -> Infinity |
| 851 | addx804 add Inf 0 -> Infinity |
| 852 | addx805 add Inf 1 -> Infinity |
| 853 | addx806 add Inf 1000 -> Infinity |
| 854 | addx807 add Inf Inf -> Infinity |
| 855 | addx808 add -1000 Inf -> Infinity |
| 856 | addx809 add -Inf Inf -> NaN Invalid_operation |
| 857 | addx810 add -1 Inf -> Infinity |
| 858 | addx811 add -0 Inf -> Infinity |
| 859 | addx812 add 0 Inf -> Infinity |
| 860 | addx813 add 1 Inf -> Infinity |
| 861 | addx814 add 1000 Inf -> Infinity |
| 862 | addx815 add Inf Inf -> Infinity |
| 863 | |
| 864 | addx821 add NaN -Inf -> NaN |
| 865 | addx822 add NaN -1000 -> NaN |
| 866 | addx823 add NaN -1 -> NaN |
| 867 | addx824 add NaN -0 -> NaN |
| 868 | addx825 add NaN 0 -> NaN |
| 869 | addx826 add NaN 1 -> NaN |
| 870 | addx827 add NaN 1000 -> NaN |
| 871 | addx828 add NaN Inf -> NaN |
| 872 | addx829 add NaN NaN -> NaN |
| 873 | addx830 add -Inf NaN -> NaN |
| 874 | addx831 add -1000 NaN -> NaN |
| 875 | addx832 add -1 NaN -> NaN |
| 876 | addx833 add -0 NaN -> NaN |
| 877 | addx834 add 0 NaN -> NaN |
| 878 | addx835 add 1 NaN -> NaN |
| 879 | addx836 add 1000 NaN -> NaN |
| 880 | addx837 add Inf NaN -> NaN |
| 881 | |
| 882 | addx841 add sNaN -Inf -> NaN Invalid_operation |
| 883 | addx842 add sNaN -1000 -> NaN Invalid_operation |
| 884 | addx843 add sNaN -1 -> NaN Invalid_operation |
| 885 | addx844 add sNaN -0 -> NaN Invalid_operation |
| 886 | addx845 add sNaN 0 -> NaN Invalid_operation |
| 887 | addx846 add sNaN 1 -> NaN Invalid_operation |
| 888 | addx847 add sNaN 1000 -> NaN Invalid_operation |
| 889 | addx848 add sNaN NaN -> NaN Invalid_operation |
| 890 | addx849 add sNaN sNaN -> NaN Invalid_operation |
| 891 | addx850 add NaN sNaN -> NaN Invalid_operation |
| 892 | addx851 add -Inf sNaN -> NaN Invalid_operation |
| 893 | addx852 add -1000 sNaN -> NaN Invalid_operation |
| 894 | addx853 add -1 sNaN -> NaN Invalid_operation |
| 895 | addx854 add -0 sNaN -> NaN Invalid_operation |
| 896 | addx855 add 0 sNaN -> NaN Invalid_operation |
| 897 | addx856 add 1 sNaN -> NaN Invalid_operation |
| 898 | addx857 add 1000 sNaN -> NaN Invalid_operation |
| 899 | addx858 add Inf sNaN -> NaN Invalid_operation |
| 900 | addx859 add NaN sNaN -> NaN Invalid_operation |
| 901 | |
| 902 | -- propagating NaNs |
| 903 | addx861 add NaN1 -Inf -> NaN1 |
| 904 | addx862 add +NaN2 -1000 -> NaN2 |
| 905 | addx863 add NaN3 1000 -> NaN3 |
| 906 | addx864 add NaN4 Inf -> NaN4 |
| 907 | addx865 add NaN5 +NaN6 -> NaN5 |
| 908 | addx866 add -Inf NaN7 -> NaN7 |
| 909 | addx867 add -1000 NaN8 -> NaN8 |
| 910 | addx868 add 1000 NaN9 -> NaN9 |
| 911 | addx869 add Inf +NaN10 -> NaN10 |
| 912 | addx871 add sNaN11 -Inf -> NaN11 Invalid_operation |
| 913 | addx872 add sNaN12 -1000 -> NaN12 Invalid_operation |
| 914 | addx873 add sNaN13 1000 -> NaN13 Invalid_operation |
| 915 | addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation |
| 916 | addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation |
| 917 | addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation |
| 918 | addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation |
| 919 | addx878 add -1000 sNaN21 -> NaN21 Invalid_operation |
| 920 | addx879 add 1000 sNaN22 -> NaN22 Invalid_operation |
| 921 | addx880 add Inf sNaN23 -> NaN23 Invalid_operation |
| 922 | addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation |
| 923 | addx882 add -NaN26 NaN28 -> -NaN26 |
| 924 | addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation |
| 925 | addx884 add 1000 -NaN30 -> -NaN30 |
| 926 | addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation |
| 927 | |
| 928 | -- overflow, underflow and subnormal tests |
| 929 | maxexponent: 999999999 |
| 930 | minexponent: -999999999 |
| 931 | precision: 9 |
| 932 | addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded |
| 933 | addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded |
| 934 | addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal |
| 935 | addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal |
| 936 | addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal |
| 937 | addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal |
| 938 | addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded |
| 939 | addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded |
| 940 | addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal |
| 941 | addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal |
| 942 | addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal |
| 943 | addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal |
| 944 | addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999 |
| 945 | addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999 |
| 946 | |
| 947 | precision: 3 |
| 948 | addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded |
| 949 | addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded |
| 950 | addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded |
| 951 | addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded |
| 952 | |
| 953 | precision: 3 |
| 954 | maxexponent: 999 |
| 955 | minexponent: -999 |
| 956 | addx910 add 1.00E-999 0 -> 1.00E-999 |
| 957 | addx911 add 0.1E-999 0 -> 1E-1000 Subnormal |
| 958 | addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal |
| 959 | addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded |
| 960 | addx914 add 0.01E-999 0 -> 1E-1001 Subnormal |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 961 | -- next is rounded to Nmin |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 962 | addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow |
| 963 | addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
| 964 | addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 965 | addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped |
| 966 | addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped |
| 967 | addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 968 | |
| 969 | addx930 add -1.00E-999 0 -> -1.00E-999 |
| 970 | addx931 add -0.1E-999 0 -> -1E-1000 Subnormal |
| 971 | addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal |
| 972 | addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded |
| 973 | addx934 add -0.01E-999 0 -> -1E-1001 Subnormal |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 974 | -- next is rounded to Nmin |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 975 | addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow |
| 976 | addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow |
| 977 | addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 978 | addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped |
| 979 | addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped |
| 980 | addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 981 | |
| 982 | -- some non-zero subnormal adds |
| 983 | addx950 add 1.00E-999 0.1E-999 -> 1.10E-999 |
| 984 | addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal |
| 985 | addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal |
| 986 | addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded |
| 987 | addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal |
| 988 | addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded |
| 989 | addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow |
| 990 | addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow |
| 991 | addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
| 992 | addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
| 993 | addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
| 994 | -- negatives... |
| 995 | addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal |
| 996 | addx962 add 0.1E-999 -0.1E-999 -> 0E-1000 |
| 997 | addx963 add 0.10E-999 -0.1E-999 -> 0E-1001 |
| 998 | addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped |
| 999 | addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal |
| 1000 | addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1001 | addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1002 | addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow |
| 1003 | addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow |
| 1004 | addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow |
| 1005 | addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow |
| 1006 | |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1007 | -- some 'real' numbers |
| 1008 | maxExponent: 384 |
| 1009 | minExponent: -383 |
| 1010 | precision: 8 |
| 1011 | addx566 add 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal |
| 1012 | precision: 7 |
| 1013 | addx567 add 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal |
| 1014 | precision: 6 |
| 1015 | addx568 add 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal |
| 1016 | |
| 1017 | -- now the case where we can get underflow but the result is normal |
| 1018 | -- [note this can't happen if the operands are also bounded, as we |
| 1019 | -- cannot represent 1E-399, for example] |
| 1020 | precision: 16 |
| 1021 | rounding: half_up |
| 1022 | maxExponent: 384 |
| 1023 | minExponent: -383 |
| 1024 | |
| 1025 | addx571 add 1E-383 0 -> 1E-383 |
| 1026 | addx572 add 1E-384 0 -> 1E-384 Subnormal |
| 1027 | addx573 add 1E-383 1E-384 -> 1.1E-383 |
| 1028 | addx574 subtract 1E-383 1E-384 -> 9E-384 Subnormal |
| 1029 | |
| 1030 | -- Here we explore the boundary of rounding a subnormal to Nmin |
| 1031 | addx575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal |
| 1032 | addx576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal |
| 1033 | addx577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
| 1034 | addx578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
| 1035 | addx579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
| 1036 | addx580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
| 1037 | |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1038 | -- check overflow edge case |
| 1039 | precision: 7 |
| 1040 | rounding: half_up |
| 1041 | maxExponent: 96 |
| 1042 | minExponent: -95 |
| 1043 | addx972 apply 9.999999E+96 -> 9.999999E+96 |
| 1044 | addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded |
| 1045 | addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded |
| 1046 | addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded |
| 1047 | addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded |
| 1048 | addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded |
| 1049 | addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded |
| 1050 | addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded |
| 1051 | addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded |
| 1052 | addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded |
| 1053 | addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded |
| 1054 | addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded |
| 1055 | addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded |
| 1056 | |
| 1057 | addx985 apply -9.999999E+96 -> -9.999999E+96 |
| 1058 | addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded |
| 1059 | addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded |
| 1060 | addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded |
| 1061 | addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded |
| 1062 | addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded |
| 1063 | addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded |
| 1064 | addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded |
| 1065 | addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded |
| 1066 | addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded |
| 1067 | addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded |
| 1068 | addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded |
| 1069 | addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded |
| 1070 | |
| 1071 | -- check for double-rounded subnormals |
| 1072 | precision: 5 |
| 1073 | maxexponent: 79 |
| 1074 | minexponent: -79 |
| 1075 | -- Add: lhs and rhs 0 |
| 1076 | addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1077 | addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1078 | addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1079 | addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1080 | addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1081 | addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1082 | |
| 1083 | -- Add: lhs >> rhs and vice versa |
| 1084 | addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1085 | addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1086 | addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1087 | addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1088 | addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1089 | addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1090 | |
| 1091 | -- Add: lhs + rhs addition carried out |
| 1092 | addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1093 | addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1094 | addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1095 | addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1096 | addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1097 | addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1098 | |
| 1099 | -- And for round down full and subnormal results |
| 1100 | precision: 16 |
| 1101 | maxExponent: +384 |
| 1102 | minExponent: -383 |
| 1103 | rounding: down |
| 1104 | |
| 1105 | addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact |
| 1106 | addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact |
| 1107 | addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact |
| 1108 | addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact |
| 1109 | addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact |
| 1110 | addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact |
| 1111 | addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact |
| 1112 | addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact |
| 1113 | addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact |
| 1114 | |
| 1115 | rounding: ceiling |
| 1116 | addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact |
| 1117 | addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact |
| 1118 | addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact |
| 1119 | addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact |
| 1120 | addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact |
| 1121 | addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact |
| 1122 | addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact |
| 1123 | addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact |
| 1124 | addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact |
Facundo Batista | 9401cbe | 2007-11-23 18:14:50 +0000 | [diff] [blame] | 1125 | addx1120 add +1e-383 -1e+2 -> -99.99999999999999 Rounded Inexact |
| 1126 | addx1121 add +1e-383 -1e+1 -> -9.999999999999999 Rounded Inexact |
| 1127 | addx1123 add +1e-383 -1 -> -0.9999999999999999 Rounded Inexact |
| 1128 | addx1124 add +1e-383 -1e-1 -> -0.09999999999999999 Rounded Inexact |
| 1129 | addx1125 add +1e-383 -1e-2 -> -0.009999999999999999 Rounded Inexact |
| 1130 | addx1126 add +1e-383 -1e-3 -> -0.0009999999999999999 Rounded Inexact |
| 1131 | addx1127 add +1e-383 -1e-4 -> -0.00009999999999999999 Rounded Inexact |
| 1132 | addx1128 add +1e-383 -1e-5 -> -0.000009999999999999999 Rounded Inexact |
| 1133 | addx1129 add +1e-383 -1e-6 -> -9.999999999999999E-7 Rounded Inexact |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1134 | |
| 1135 | rounding: down |
| 1136 | precision: 7 |
| 1137 | maxExponent: +96 |
| 1138 | minExponent: -95 |
| 1139 | addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact |
| 1140 | -- subnormal boundary |
| 1141 | addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact |
| 1142 | addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact |
| 1143 | addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow |
| 1144 | addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow |
| 1145 | addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow |
| 1146 | addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow |
| 1147 | addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal |
| 1148 | addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow |
| 1149 | addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow |
| 1150 | addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow |
| 1151 | addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1152 | addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped |
| 1153 | addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped |
| 1154 | addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1155 | |
| 1156 | addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow |
| 1157 | addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow |
| 1158 | addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1159 | addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped |
| 1160 | addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped |
| 1161 | addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped |
| 1162 | addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1163 | |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1164 | addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped |
| 1165 | addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1166 | |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1167 | -- tests based on Gunnar Degnbol's edge case |
| 1168 | precision: 15 |
| 1169 | rounding: half_up |
| 1170 | maxExponent: 384 |
| 1171 | minexponent: -383 |
| 1172 | |
| 1173 | addx1200 add 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded |
| 1174 | addx1201 add 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded |
| 1175 | addx1210 add 1E15 -0.51 -> 999999999999999 Inexact Rounded |
| 1176 | addx1211 add 1E15 -0.501 -> 999999999999999 Inexact Rounded |
| 1177 | addx1212 add 1E15 -0.5001 -> 999999999999999 Inexact Rounded |
| 1178 | addx1213 add 1E15 -0.50001 -> 999999999999999 Inexact Rounded |
| 1179 | addx1214 add 1E15 -0.500001 -> 999999999999999 Inexact Rounded |
| 1180 | addx1215 add 1E15 -0.5000001 -> 999999999999999 Inexact Rounded |
| 1181 | addx1216 add 1E15 -0.50000001 -> 999999999999999 Inexact Rounded |
| 1182 | addx1217 add 1E15 -0.500000001 -> 999999999999999 Inexact Rounded |
| 1183 | addx1218 add 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded |
| 1184 | addx1219 add 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded |
| 1185 | addx1220 add 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded |
| 1186 | addx1221 add 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded |
| 1187 | addx1222 add 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded |
| 1188 | addx1223 add 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded |
| 1189 | addx1224 add 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded |
| 1190 | addx1225 add 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded |
| 1191 | addx1230 add 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded |
| 1192 | |
| 1193 | precision: 16 |
| 1194 | |
| 1195 | addx1300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded |
| 1196 | addx1310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded |
| 1197 | addx1311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded |
| 1198 | addx1312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded |
| 1199 | addx1313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded |
| 1200 | addx1314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded |
| 1201 | addx1315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded |
| 1202 | addx1316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded |
| 1203 | addx1317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded |
| 1204 | addx1318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded |
| 1205 | addx1319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded |
| 1206 | addx1320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded |
| 1207 | addx1321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded |
| 1208 | addx1322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded |
| 1209 | addx1323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded |
| 1210 | addx1324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded |
| 1211 | addx1325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1212 | addx1326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1213 | addx1327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1214 | addx1328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1215 | addx1329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1216 | addx1330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1217 | addx1331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1218 | addx1332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1219 | addx1333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1220 | addx1334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1221 | addx1335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded |
| 1222 | addx1336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded |
| 1223 | addx1337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded |
| 1224 | addx1338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded |
| 1225 | addx1339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded |
| 1226 | |
| 1227 | addx1340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded |
| 1228 | addx1341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded |
| 1229 | |
| 1230 | addx1349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded |
| 1231 | addx1350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded |
| 1232 | addx1351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded |
| 1233 | addx1352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded |
| 1234 | addx1353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded |
| 1235 | addx1354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded |
| 1236 | addx1355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded |
| 1237 | addx1356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded |
| 1238 | addx1357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded |
| 1239 | addx1358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded |
| 1240 | addx1359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded |
| 1241 | addx1360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded |
| 1242 | addx1361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded |
| 1243 | addx1362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded |
| 1244 | addx1363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded |
| 1245 | addx1364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded |
| 1246 | addx1365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1247 | addx1367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1248 | addx1368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1249 | addx1369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1250 | addx1370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1251 | addx1371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1252 | addx1372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1253 | addx1373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1254 | addx1374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1255 | addx1375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded |
| 1256 | addx1376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded |
| 1257 | addx1377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded |
| 1258 | addx1378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded |
| 1259 | addx1379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded |
| 1260 | addx1380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded |
| 1261 | addx1381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded |
| 1262 | addx1382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1263 | addx1383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1264 | addx1384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1265 | addx1385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1266 | addx1386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1267 | addx1387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1268 | addx1388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1269 | addx1389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1270 | addx1390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1271 | addx1391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded |
| 1272 | addx1392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded |
| 1273 | addx1393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded |
| 1274 | addx1394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded |
| 1275 | addx1395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded |
| 1276 | addx1396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded |
| 1277 | |
| 1278 | -- More GD edge cases, where difference between the unadjusted |
| 1279 | -- exponents is larger than the maximum precision and one side is 0 |
| 1280 | precision: 15 |
| 1281 | rounding: half_up |
| 1282 | maxExponent: 384 |
| 1283 | minexponent: -383 |
| 1284 | |
| 1285 | addx1400 add 0 1.23456789012345 -> 1.23456789012345 |
| 1286 | addx1401 add 0 1.23456789012345E-1 -> 0.123456789012345 |
| 1287 | addx1402 add 0 1.23456789012345E-2 -> 0.0123456789012345 |
| 1288 | addx1403 add 0 1.23456789012345E-3 -> 0.00123456789012345 |
| 1289 | addx1404 add 0 1.23456789012345E-4 -> 0.000123456789012345 |
| 1290 | addx1405 add 0 1.23456789012345E-5 -> 0.0000123456789012345 |
| 1291 | addx1406 add 0 1.23456789012345E-6 -> 0.00000123456789012345 |
| 1292 | addx1407 add 0 1.23456789012345E-7 -> 1.23456789012345E-7 |
| 1293 | addx1408 add 0 1.23456789012345E-8 -> 1.23456789012345E-8 |
| 1294 | addx1409 add 0 1.23456789012345E-9 -> 1.23456789012345E-9 |
| 1295 | addx1410 add 0 1.23456789012345E-10 -> 1.23456789012345E-10 |
| 1296 | addx1411 add 0 1.23456789012345E-11 -> 1.23456789012345E-11 |
| 1297 | addx1412 add 0 1.23456789012345E-12 -> 1.23456789012345E-12 |
| 1298 | addx1413 add 0 1.23456789012345E-13 -> 1.23456789012345E-13 |
| 1299 | addx1414 add 0 1.23456789012345E-14 -> 1.23456789012345E-14 |
| 1300 | addx1415 add 0 1.23456789012345E-15 -> 1.23456789012345E-15 |
| 1301 | addx1416 add 0 1.23456789012345E-16 -> 1.23456789012345E-16 |
| 1302 | addx1417 add 0 1.23456789012345E-17 -> 1.23456789012345E-17 |
| 1303 | addx1418 add 0 1.23456789012345E-18 -> 1.23456789012345E-18 |
| 1304 | addx1419 add 0 1.23456789012345E-19 -> 1.23456789012345E-19 |
| 1305 | |
| 1306 | -- same, precision 16.. |
| 1307 | precision: 16 |
| 1308 | addx1420 add 0 1.123456789012345 -> 1.123456789012345 |
| 1309 | addx1421 add 0 1.123456789012345E-1 -> 0.1123456789012345 |
| 1310 | addx1422 add 0 1.123456789012345E-2 -> 0.01123456789012345 |
| 1311 | addx1423 add 0 1.123456789012345E-3 -> 0.001123456789012345 |
| 1312 | addx1424 add 0 1.123456789012345E-4 -> 0.0001123456789012345 |
| 1313 | addx1425 add 0 1.123456789012345E-5 -> 0.00001123456789012345 |
| 1314 | addx1426 add 0 1.123456789012345E-6 -> 0.000001123456789012345 |
| 1315 | addx1427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7 |
| 1316 | addx1428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8 |
| 1317 | addx1429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9 |
| 1318 | addx1430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10 |
| 1319 | addx1431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11 |
| 1320 | addx1432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12 |
| 1321 | addx1433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13 |
| 1322 | addx1434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14 |
| 1323 | addx1435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15 |
| 1324 | addx1436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16 |
| 1325 | addx1437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17 |
| 1326 | addx1438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18 |
| 1327 | addx1439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19 |
| 1328 | |
| 1329 | -- same, reversed 0 |
| 1330 | addx1440 add 1.123456789012345 0 -> 1.123456789012345 |
| 1331 | addx1441 add 1.123456789012345E-1 0 -> 0.1123456789012345 |
| 1332 | addx1442 add 1.123456789012345E-2 0 -> 0.01123456789012345 |
| 1333 | addx1443 add 1.123456789012345E-3 0 -> 0.001123456789012345 |
| 1334 | addx1444 add 1.123456789012345E-4 0 -> 0.0001123456789012345 |
| 1335 | addx1445 add 1.123456789012345E-5 0 -> 0.00001123456789012345 |
| 1336 | addx1446 add 1.123456789012345E-6 0 -> 0.000001123456789012345 |
| 1337 | addx1447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7 |
| 1338 | addx1448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8 |
| 1339 | addx1449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9 |
| 1340 | addx1450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 |
| 1341 | addx1451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 |
| 1342 | addx1452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 |
| 1343 | addx1453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 |
| 1344 | addx1454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 |
| 1345 | addx1455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 |
| 1346 | addx1456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 |
| 1347 | addx1457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 |
| 1348 | addx1458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 |
| 1349 | addx1459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 |
| 1350 | |
| 1351 | -- same, Es on the 0 |
| 1352 | addx1460 add 1.123456789012345 0E-0 -> 1.123456789012345 |
| 1353 | addx1461 add 1.123456789012345 0E-1 -> 1.123456789012345 |
| 1354 | addx1462 add 1.123456789012345 0E-2 -> 1.123456789012345 |
| 1355 | addx1463 add 1.123456789012345 0E-3 -> 1.123456789012345 |
| 1356 | addx1464 add 1.123456789012345 0E-4 -> 1.123456789012345 |
| 1357 | addx1465 add 1.123456789012345 0E-5 -> 1.123456789012345 |
| 1358 | addx1466 add 1.123456789012345 0E-6 -> 1.123456789012345 |
| 1359 | addx1467 add 1.123456789012345 0E-7 -> 1.123456789012345 |
| 1360 | addx1468 add 1.123456789012345 0E-8 -> 1.123456789012345 |
| 1361 | addx1469 add 1.123456789012345 0E-9 -> 1.123456789012345 |
| 1362 | addx1470 add 1.123456789012345 0E-10 -> 1.123456789012345 |
| 1363 | addx1471 add 1.123456789012345 0E-11 -> 1.123456789012345 |
| 1364 | addx1472 add 1.123456789012345 0E-12 -> 1.123456789012345 |
| 1365 | addx1473 add 1.123456789012345 0E-13 -> 1.123456789012345 |
| 1366 | addx1474 add 1.123456789012345 0E-14 -> 1.123456789012345 |
| 1367 | addx1475 add 1.123456789012345 0E-15 -> 1.123456789012345 |
| 1368 | -- next four flag Rounded because the 0 extends the result |
| 1369 | addx1476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded |
| 1370 | addx1477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded |
| 1371 | addx1478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded |
| 1372 | addx1479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded |
| 1373 | |
| 1374 | -- sum of two opposite-sign operands is exactly 0 and floor => -0 |
| 1375 | precision: 16 |
| 1376 | maxExponent: 384 |
| 1377 | minexponent: -383 |
| 1378 | |
| 1379 | rounding: half_up |
| 1380 | -- exact zeros from zeros |
| 1381 | addx1500 add 0 0E-19 -> 0E-19 |
| 1382 | addx1501 add -0 0E-19 -> 0E-19 |
| 1383 | addx1502 add 0 -0E-19 -> 0E-19 |
| 1384 | addx1503 add -0 -0E-19 -> -0E-19 |
| 1385 | addx1504 add 0E-400 0E-19 -> 0E-398 Clamped |
| 1386 | addx1505 add -0E-400 0E-19 -> 0E-398 Clamped |
| 1387 | addx1506 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 1388 | addx1507 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 1389 | -- inexact zeros |
| 1390 | addx1511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1391 | addx1512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1392 | addx1513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1393 | addx1514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1394 | -- some exact zeros from non-zeros |
| 1395 | addx1515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1396 | addx1516 add -1E-401 1E-401 -> 0E-398 Clamped |
| 1397 | addx1517 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 1398 | addx1518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1399 | |
| 1400 | rounding: half_down |
| 1401 | -- exact zeros from zeros |
| 1402 | addx1520 add 0 0E-19 -> 0E-19 |
| 1403 | addx1521 add -0 0E-19 -> 0E-19 |
| 1404 | addx1522 add 0 -0E-19 -> 0E-19 |
| 1405 | addx1523 add -0 -0E-19 -> -0E-19 |
| 1406 | addx1524 add 0E-400 0E-19 -> 0E-398 Clamped |
| 1407 | addx1525 add -0E-400 0E-19 -> 0E-398 Clamped |
| 1408 | addx1526 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 1409 | addx1527 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 1410 | -- inexact zeros |
| 1411 | addx1531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1412 | addx1532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1413 | addx1533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1414 | addx1534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1415 | -- some exact zeros from non-zeros |
| 1416 | addx1535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1417 | addx1536 add -1E-401 1E-401 -> 0E-398 Clamped |
| 1418 | addx1537 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 1419 | addx1538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1420 | |
| 1421 | rounding: half_even |
| 1422 | -- exact zeros from zeros |
| 1423 | addx1540 add 0 0E-19 -> 0E-19 |
| 1424 | addx1541 add -0 0E-19 -> 0E-19 |
| 1425 | addx1542 add 0 -0E-19 -> 0E-19 |
| 1426 | addx1543 add -0 -0E-19 -> -0E-19 |
| 1427 | addx1544 add 0E-400 0E-19 -> 0E-398 Clamped |
| 1428 | addx1545 add -0E-400 0E-19 -> 0E-398 Clamped |
| 1429 | addx1546 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 1430 | addx1547 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 1431 | -- inexact zeros |
| 1432 | addx1551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1433 | addx1552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1434 | addx1553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1435 | addx1554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1436 | -- some exact zeros from non-zeros |
| 1437 | addx1555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1438 | addx1556 add -1E-401 1E-401 -> 0E-398 Clamped |
| 1439 | addx1557 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 1440 | addx1558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1441 | |
| 1442 | rounding: up |
| 1443 | -- exact zeros from zeros |
| 1444 | addx1560 add 0 0E-19 -> 0E-19 |
| 1445 | addx1561 add -0 0E-19 -> 0E-19 |
| 1446 | addx1562 add 0 -0E-19 -> 0E-19 |
| 1447 | addx1563 add -0 -0E-19 -> -0E-19 |
| 1448 | addx1564 add 0E-400 0E-19 -> 0E-398 Clamped |
| 1449 | addx1565 add -0E-400 0E-19 -> 0E-398 Clamped |
| 1450 | addx1566 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 1451 | addx1567 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 1452 | -- inexact zeros |
| 1453 | addx1571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 1454 | addx1572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 1455 | addx1573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 1456 | addx1574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 1457 | -- some exact zeros from non-zeros |
| 1458 | addx1575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 1459 | addx1576 add -1E-401 1E-401 -> 0E-398 Clamped |
| 1460 | addx1577 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 1461 | addx1578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 1462 | |
| 1463 | rounding: down |
| 1464 | -- exact zeros from zeros |
| 1465 | addx1580 add 0 0E-19 -> 0E-19 |
| 1466 | addx1581 add -0 0E-19 -> 0E-19 |
| 1467 | addx1582 add 0 -0E-19 -> 0E-19 |
| 1468 | addx1583 add -0 -0E-19 -> -0E-19 |
| 1469 | addx1584 add 0E-400 0E-19 -> 0E-398 Clamped |
| 1470 | addx1585 add -0E-400 0E-19 -> 0E-398 Clamped |
| 1471 | addx1586 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 1472 | addx1587 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 1473 | -- inexact zeros |
| 1474 | addx1591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1475 | addx1592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1476 | addx1593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1477 | addx1594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1478 | -- some exact zeros from non-zeros |
| 1479 | addx1595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1480 | addx1596 add -1E-401 1E-401 -> 0E-398 Clamped |
| 1481 | addx1597 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 1482 | addx1598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1483 | |
| 1484 | rounding: ceiling |
| 1485 | -- exact zeros from zeros |
| 1486 | addx1600 add 0 0E-19 -> 0E-19 |
| 1487 | addx1601 add -0 0E-19 -> 0E-19 |
| 1488 | addx1602 add 0 -0E-19 -> 0E-19 |
| 1489 | addx1603 add -0 -0E-19 -> -0E-19 |
| 1490 | addx1604 add 0E-400 0E-19 -> 0E-398 Clamped |
| 1491 | addx1605 add -0E-400 0E-19 -> 0E-398 Clamped |
| 1492 | addx1606 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 1493 | addx1607 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 1494 | -- inexact zeros |
| 1495 | addx1611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 1496 | addx1612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 1497 | addx1613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1498 | addx1614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1499 | -- some exact zeros from non-zeros |
| 1500 | addx1615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 1501 | addx1616 add -1E-401 1E-401 -> 0E-398 Clamped |
| 1502 | addx1617 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 1503 | addx1618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1504 | |
| 1505 | -- and the extra-special ugly case; unusual minuses marked by -- * |
| 1506 | rounding: floor |
| 1507 | -- exact zeros from zeros |
| 1508 | addx1620 add 0 0E-19 -> 0E-19 |
| 1509 | addx1621 add -0 0E-19 -> -0E-19 -- * |
| 1510 | addx1622 add 0 -0E-19 -> -0E-19 -- * |
| 1511 | addx1623 add -0 -0E-19 -> -0E-19 |
| 1512 | addx1624 add 0E-400 0E-19 -> 0E-398 Clamped |
| 1513 | addx1625 add -0E-400 0E-19 -> -0E-398 Clamped -- * |
| 1514 | addx1626 add 0E-400 -0E-19 -> -0E-398 Clamped -- * |
| 1515 | addx1627 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 1516 | -- inexact zeros |
| 1517 | addx1631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1518 | addx1632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1519 | addx1633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 1520 | addx1634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 1521 | -- some exact zeros from non-zeros |
| 1522 | addx1635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 1523 | addx1636 add -1E-401 1E-401 -> -0E-398 Clamped -- * |
| 1524 | addx1637 add 1E-401 -1E-401 -> -0E-398 Clamped -- * |
| 1525 | addx1638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 1526 | |
| 1527 | -- BigDecimal problem testcases 2006.01.23 |
| 1528 | precision: 16 |
| 1529 | maxExponent: 384 |
| 1530 | minexponent: -383 |
| 1531 | |
| 1532 | rounding: down |
| 1533 | precision: 7 |
| 1534 | addx1651 add 10001E+2 -2E+1 -> 1.00008E+6 |
| 1535 | precision: 6 |
| 1536 | addx1652 add 10001E+2 -2E+1 -> 1.00008E+6 |
| 1537 | precision: 5 |
| 1538 | addx1653 add 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded |
| 1539 | precision: 4 |
| 1540 | addx1654 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded |
| 1541 | precision: 3 |
| 1542 | addx1655 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded |
| 1543 | precision: 2 |
| 1544 | addx1656 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded |
| 1545 | precision: 1 |
| 1546 | addx1657 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded |
| 1547 | |
| 1548 | rounding: half_even |
| 1549 | precision: 7 |
| 1550 | addx1661 add 10001E+2 -2E+1 -> 1.00008E+6 |
| 1551 | precision: 6 |
| 1552 | addx1662 add 10001E+2 -2E+1 -> 1.00008E+6 |
| 1553 | precision: 5 |
| 1554 | addx1663 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded |
| 1555 | precision: 4 |
| 1556 | addx1664 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded |
| 1557 | precision: 3 |
| 1558 | addx1665 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded |
| 1559 | precision: 2 |
| 1560 | addx1666 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded |
| 1561 | precision: 1 |
| 1562 | addx1667 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded |
| 1563 | |
| 1564 | rounding: up |
| 1565 | precision: 7 |
| 1566 | addx1671 add 10001E+2 -2E+1 -> 1.00008E+6 |
| 1567 | precision: 6 |
| 1568 | addx1672 add 10001E+2 -2E+1 -> 1.00008E+6 |
| 1569 | precision: 5 |
| 1570 | addx1673 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded |
| 1571 | precision: 4 |
| 1572 | addx1674 add 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded |
| 1573 | precision: 3 |
| 1574 | addx1675 add 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded |
| 1575 | precision: 2 |
| 1576 | addx1676 add 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded |
| 1577 | precision: 1 |
| 1578 | addx1677 add 10001E+2 -2E+1 -> 2E+6 Inexact Rounded |
| 1579 | |
| 1580 | precision: 34 |
| 1581 | rounding: half_up |
| 1582 | maxExponent: 6144 |
| 1583 | minExponent: -6143 |
| 1584 | -- Examples from SQL proposal (Krishna Kulkarni) |
| 1585 | addx1701 add 130E-2 120E-2 -> 2.50 |
| 1586 | addx1702 add 130E-2 12E-1 -> 2.50 |
| 1587 | addx1703 add 130E-2 1E0 -> 2.30 |
| 1588 | addx1704 add 1E2 1E4 -> 1.01E+4 |
| 1589 | addx1705 subtract 130E-2 120E-2 -> 0.10 |
| 1590 | addx1706 subtract 130E-2 12E-1 -> 0.10 |
| 1591 | addx1707 subtract 130E-2 1E0 -> 0.30 |
| 1592 | addx1708 subtract 1E2 1E4 -> -9.9E+3 |
| 1593 | |
| 1594 | ------------------------------------------------------------------------ |
| 1595 | -- Same as above, using decimal64 default parameters -- |
| 1596 | ------------------------------------------------------------------------ |
| 1597 | precision: 16 |
| 1598 | rounding: half_even |
| 1599 | maxExponent: 384 |
| 1600 | minexponent: -383 |
| 1601 | |
| 1602 | -- [first group are 'quick confidence check'] |
| 1603 | addx6001 add 1 1 -> 2 |
| 1604 | addx6002 add 2 3 -> 5 |
| 1605 | addx6003 add '5.75' '3.3' -> 9.05 |
| 1606 | addx6004 add '5' '-3' -> 2 |
| 1607 | addx6005 add '-5' '-3' -> -8 |
| 1608 | addx6006 add '-7' '2.5' -> -4.5 |
| 1609 | addx6007 add '0.7' '0.3' -> 1.0 |
| 1610 | addx6008 add '1.25' '1.25' -> 2.50 |
| 1611 | addx6009 add '1.23456789' '1.00000000' -> '2.23456789' |
| 1612 | addx6010 add '1.23456789' '1.00000011' -> '2.23456800' |
| 1613 | |
| 1614 | addx6011 add '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded |
| 1615 | addx6012 add '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded |
| 1616 | addx6013 add '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded |
| 1617 | addx6014 add '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded |
| 1618 | addx6015 add '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded |
| 1619 | addx6016 add '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded |
| 1620 | addx6017 add '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded |
| 1621 | addx6018 add '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded |
| 1622 | addx6019 add '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded |
| 1623 | addx6020 add '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded |
| 1624 | |
| 1625 | addx6021 add 0 1 -> 1 |
| 1626 | addx6022 add 1 1 -> 2 |
| 1627 | addx6023 add 2 1 -> 3 |
| 1628 | addx6024 add 3 1 -> 4 |
| 1629 | addx6025 add 4 1 -> 5 |
| 1630 | addx6026 add 5 1 -> 6 |
| 1631 | addx6027 add 6 1 -> 7 |
| 1632 | addx6028 add 7 1 -> 8 |
| 1633 | addx6029 add 8 1 -> 9 |
| 1634 | addx6030 add 9 1 -> 10 |
| 1635 | |
| 1636 | -- some carrying effects |
| 1637 | addx6031 add '0.9998' '0.0000' -> '0.9998' |
| 1638 | addx6032 add '0.9998' '0.0001' -> '0.9999' |
| 1639 | addx6033 add '0.9998' '0.0002' -> '1.0000' |
| 1640 | addx6034 add '0.9998' '0.0003' -> '1.0001' |
| 1641 | |
| 1642 | addx6035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded |
| 1643 | addx6036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded |
| 1644 | addx6037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded |
| 1645 | addx6038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded |
| 1646 | addx6039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded |
| 1647 | |
| 1648 | -- symmetry: |
| 1649 | addx6040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded |
| 1650 | addx6041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded |
| 1651 | addx6042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded |
| 1652 | addx6044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded |
| 1653 | addx6045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded |
| 1654 | |
| 1655 | addx6046 add '10000e+9' '7' -> '10000000000007' |
| 1656 | addx6047 add '10000e+9' '70' -> '10000000000070' |
| 1657 | addx6048 add '10000e+9' '700' -> '10000000000700' |
| 1658 | addx6049 add '10000e+9' '7000' -> '10000000007000' |
| 1659 | addx6050 add '10000e+9' '70000' -> '10000000070000' |
| 1660 | addx6051 add '10000e+9' '700000' -> '10000000700000' |
| 1661 | |
| 1662 | -- examples from decarith |
| 1663 | addx6053 add '12' '7.00' -> '19.00' |
| 1664 | addx6054 add '1.3' '-1.07' -> '0.23' |
| 1665 | addx6055 add '1.3' '-1.30' -> '0.00' |
| 1666 | addx6056 add '1.3' '-2.07' -> '-0.77' |
| 1667 | addx6057 add '1E+2' '1E+4' -> '1.01E+4' |
| 1668 | |
| 1669 | -- from above |
Facundo Batista | 9401cbe | 2007-11-23 18:14:50 +0000 | [diff] [blame] | 1670 | addx6060 add 1 '0.1' -> '1.1' |
| 1671 | addx6061 add 1 '0.01' -> '1.01' |
| 1672 | addx6062 add 1 '0.001' -> '1.001' |
| 1673 | addx6063 add 1 '0.0001' -> '1.0001' |
| 1674 | addx6064 add 1 '0.00001' -> '1.00001' |
| 1675 | addx6065 add 1 '0.000001' -> '1.000001' |
| 1676 | addx6066 add 1 '0.0000001' -> '1.0000001' |
| 1677 | addx6067 add 1 '0.00000001' -> '1.00000001' |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1678 | |
| 1679 | -- cancellation to integer |
Facundo Batista | 9401cbe | 2007-11-23 18:14:50 +0000 | [diff] [blame] | 1680 | addx6068 add 99999999999999123456789 -99999999999999E+9 -> 123456789 |
| 1681 | -- similar from FMA fun |
| 1682 | addx6069 add "-1234567890123455.234567890123454" "1234567890123456" -> 0.765432109876546 |
Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1683 | |
| 1684 | -- some funny zeros [in case of bad signum] |
| 1685 | addx6070 add 1 0 -> 1 |
| 1686 | addx6071 add 1 0. -> 1 |
| 1687 | addx6072 add 1 .0 -> 1.0 |
| 1688 | addx6073 add 1 0.0 -> 1.0 |
| 1689 | addx6074 add 1 0.00 -> 1.00 |
| 1690 | addx6075 add 0 1 -> 1 |
| 1691 | addx6076 add 0. 1 -> 1 |
| 1692 | addx6077 add .0 1 -> 1.0 |
| 1693 | addx6078 add 0.0 1 -> 1.0 |
| 1694 | addx6079 add 0.00 1 -> 1.00 |
| 1695 | |
| 1696 | -- some carries |
| 1697 | addx6080 add 9999999999999998 1 -> 9999999999999999 |
| 1698 | addx6081 add 9999999999999999 1 -> 1.000000000000000E+16 Rounded |
| 1699 | addx6082 add 999999999999999 1 -> 1000000000000000 |
| 1700 | addx6083 add 9999999999999 1 -> 10000000000000 |
| 1701 | addx6084 add 99999999999 1 -> 100000000000 |
| 1702 | addx6085 add 999999999 1 -> 1000000000 |
| 1703 | addx6086 add 9999999 1 -> 10000000 |
| 1704 | addx6087 add 99999 1 -> 100000 |
| 1705 | addx6088 add 999 1 -> 1000 |
| 1706 | addx6089 add 9 1 -> 10 |
| 1707 | |
| 1708 | |
| 1709 | -- more LHS swaps |
| 1710 | addx6090 add '-56267E-10' 0 -> '-0.0000056267' |
| 1711 | addx6091 add '-56267E-6' 0 -> '-0.056267' |
| 1712 | addx6092 add '-56267E-5' 0 -> '-0.56267' |
| 1713 | addx6093 add '-56267E-4' 0 -> '-5.6267' |
| 1714 | addx6094 add '-56267E-3' 0 -> '-56.267' |
| 1715 | addx6095 add '-56267E-2' 0 -> '-562.67' |
| 1716 | addx6096 add '-56267E-1' 0 -> '-5626.7' |
| 1717 | addx6097 add '-56267E-0' 0 -> '-56267' |
| 1718 | addx6098 add '-5E-10' 0 -> '-5E-10' |
| 1719 | addx6099 add '-5E-7' 0 -> '-5E-7' |
| 1720 | addx6100 add '-5E-6' 0 -> '-0.000005' |
| 1721 | addx6101 add '-5E-5' 0 -> '-0.00005' |
| 1722 | addx6102 add '-5E-4' 0 -> '-0.0005' |
| 1723 | addx6103 add '-5E-1' 0 -> '-0.5' |
| 1724 | addx6104 add '-5E0' 0 -> '-5' |
| 1725 | addx6105 add '-5E1' 0 -> '-50' |
| 1726 | addx6106 add '-5E5' 0 -> '-500000' |
| 1727 | addx6107 add '-5E15' 0 -> '-5000000000000000' |
| 1728 | addx6108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded |
| 1729 | addx6109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded |
| 1730 | addx6110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded |
| 1731 | addx6111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded |
| 1732 | |
| 1733 | -- more RHS swaps |
| 1734 | addx6113 add 0 '-56267E-10' -> '-0.0000056267' |
| 1735 | addx6114 add 0 '-56267E-6' -> '-0.056267' |
| 1736 | addx6116 add 0 '-56267E-5' -> '-0.56267' |
| 1737 | addx6117 add 0 '-56267E-4' -> '-5.6267' |
| 1738 | addx6119 add 0 '-56267E-3' -> '-56.267' |
| 1739 | addx6120 add 0 '-56267E-2' -> '-562.67' |
| 1740 | addx6121 add 0 '-56267E-1' -> '-5626.7' |
| 1741 | addx6122 add 0 '-56267E-0' -> '-56267' |
| 1742 | addx6123 add 0 '-5E-10' -> '-5E-10' |
| 1743 | addx6124 add 0 '-5E-7' -> '-5E-7' |
| 1744 | addx6125 add 0 '-5E-6' -> '-0.000005' |
| 1745 | addx6126 add 0 '-5E-5' -> '-0.00005' |
| 1746 | addx6127 add 0 '-5E-4' -> '-0.0005' |
| 1747 | addx6128 add 0 '-5E-1' -> '-0.5' |
| 1748 | addx6129 add 0 '-5E0' -> '-5' |
| 1749 | addx6130 add 0 '-5E1' -> '-50' |
| 1750 | addx6131 add 0 '-5E5' -> '-500000' |
| 1751 | addx6132 add 0 '-5E15' -> '-5000000000000000' |
| 1752 | addx6133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded |
| 1753 | addx6134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded |
| 1754 | addx6135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded |
| 1755 | addx6136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded |
| 1756 | |
| 1757 | -- related |
| 1758 | addx6137 add 1 '0E-19' -> '1.000000000000000' Rounded |
| 1759 | addx6138 add -1 '0E-19' -> '-1.000000000000000' Rounded |
| 1760 | addx6139 add '0E-19' 1 -> '1.000000000000000' Rounded |
| 1761 | addx6140 add '0E-19' -1 -> '-1.000000000000000' Rounded |
| 1762 | addx6141 add 1E+11 0.0000 -> '100000000000.0000' |
| 1763 | addx6142 add 1E+11 0.00000 -> '100000000000.0000' Rounded |
| 1764 | addx6143 add 0.000 1E+12 -> '1000000000000.000' |
| 1765 | addx6144 add 0.0000 1E+12 -> '1000000000000.000' Rounded |
| 1766 | |
| 1767 | -- [some of the next group are really constructor tests] |
| 1768 | addx6146 add '00.0' 0 -> '0.0' |
| 1769 | addx6147 add '0.00' 0 -> '0.00' |
| 1770 | addx6148 add 0 '0.00' -> '0.00' |
| 1771 | addx6149 add 0 '00.0' -> '0.0' |
| 1772 | addx6150 add '00.0' '0.00' -> '0.00' |
| 1773 | addx6151 add '0.00' '00.0' -> '0.00' |
| 1774 | addx6152 add '3' '.3' -> '3.3' |
| 1775 | addx6153 add '3.' '.3' -> '3.3' |
| 1776 | addx6154 add '3.0' '.3' -> '3.3' |
| 1777 | addx6155 add '3.00' '.3' -> '3.30' |
| 1778 | addx6156 add '3' '3' -> '6' |
| 1779 | addx6157 add '3' '+3' -> '6' |
| 1780 | addx6158 add '3' '-3' -> '0' |
| 1781 | addx6159 add '0.3' '-0.3' -> '0.0' |
| 1782 | addx6160 add '0.03' '-0.03' -> '0.00' |
| 1783 | |
| 1784 | -- try borderline precision, with carries, etc. |
| 1785 | addx6161 add '1E+13' '-1' -> '9999999999999' |
| 1786 | addx6162 add '1E+13' '1.11' -> '10000000000001.11' |
| 1787 | addx6163 add '1.11' '1E+13' -> '10000000000001.11' |
| 1788 | addx6164 add '-1' '1E+13' -> '9999999999999' |
| 1789 | addx6165 add '7E+13' '-1' -> '69999999999999' |
| 1790 | addx6166 add '7E+13' '1.11' -> '70000000000001.11' |
| 1791 | addx6167 add '1.11' '7E+13' -> '70000000000001.11' |
| 1792 | addx6168 add '-1' '7E+13' -> '69999999999999' |
| 1793 | |
| 1794 | -- 1234567890123456 1234567890123456 1 234567890123456 |
| 1795 | addx6170 add '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded |
| 1796 | addx6171 add '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded |
| 1797 | addx6172 add '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded |
| 1798 | addx6173 add '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded |
| 1799 | addx6174 add '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded |
| 1800 | addx6175 add '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded |
| 1801 | addx6176 add '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded |
| 1802 | addx6177 add '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded |
| 1803 | addx6178 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999' |
| 1804 | addx6179 add '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998' |
| 1805 | addx6180 add '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997' |
| 1806 | addx6181 add '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996' |
| 1807 | addx6182 add '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995' |
| 1808 | addx6183 add '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994' |
| 1809 | |
| 1810 | -- and some more, including residue effects and different roundings |
| 1811 | rounding: half_up |
| 1812 | addx6200 add '6543210123456789' 0 -> '6543210123456789' |
| 1813 | addx6201 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded |
| 1814 | addx6202 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded |
| 1815 | addx6203 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded |
| 1816 | addx6204 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded |
| 1817 | addx6205 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded |
| 1818 | addx6206 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded |
| 1819 | addx6207 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded |
| 1820 | addx6208 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded |
| 1821 | addx6209 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded |
| 1822 | addx6210 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded |
| 1823 | addx6211 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded |
| 1824 | addx6212 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded |
| 1825 | addx6213 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded |
| 1826 | addx6214 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded |
| 1827 | addx6215 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded |
| 1828 | addx6216 add '6543210123456789' 1 -> '6543210123456790' |
| 1829 | addx6217 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded |
| 1830 | addx6218 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded |
| 1831 | addx6219 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded |
| 1832 | |
| 1833 | rounding: half_even |
| 1834 | addx6220 add '6543210123456789' 0 -> '6543210123456789' |
| 1835 | addx6221 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded |
| 1836 | addx6222 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded |
| 1837 | addx6223 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded |
| 1838 | addx6224 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded |
| 1839 | addx6225 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded |
| 1840 | addx6226 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded |
| 1841 | addx6227 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded |
| 1842 | addx6228 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded |
| 1843 | addx6229 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded |
| 1844 | addx6230 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded |
| 1845 | addx6231 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded |
| 1846 | addx6232 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded |
| 1847 | addx6233 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded |
| 1848 | addx6234 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded |
| 1849 | addx6235 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded |
| 1850 | addx6236 add '6543210123456789' 1 -> '6543210123456790' |
| 1851 | addx6237 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded |
| 1852 | addx6238 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded |
| 1853 | addx6239 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded |
| 1854 | -- critical few with even bottom digit... |
| 1855 | addx6240 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded |
| 1856 | addx6241 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded |
| 1857 | addx6242 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded |
| 1858 | |
| 1859 | rounding: down |
| 1860 | addx6250 add '6543210123456789' 0 -> '6543210123456789' |
| 1861 | addx6251 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded |
| 1862 | addx6252 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded |
| 1863 | addx6253 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded |
| 1864 | addx6254 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded |
| 1865 | addx6255 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded |
| 1866 | addx6256 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded |
| 1867 | addx6257 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded |
| 1868 | addx6258 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded |
| 1869 | addx6259 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded |
| 1870 | addx6260 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded |
| 1871 | addx6261 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded |
| 1872 | addx6262 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded |
| 1873 | addx6263 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded |
| 1874 | addx6264 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded |
| 1875 | addx6265 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded |
| 1876 | addx6266 add '6543210123456789' 1 -> '6543210123456790' |
| 1877 | addx6267 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded |
| 1878 | addx6268 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded |
| 1879 | addx6269 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded |
| 1880 | |
| 1881 | -- 1 in last place tests |
| 1882 | rounding: half_even |
| 1883 | addx6301 add -1 1 -> 0 |
| 1884 | addx6302 add 0 1 -> 1 |
| 1885 | addx6303 add 1 1 -> 2 |
| 1886 | addx6304 add 12 1 -> 13 |
| 1887 | addx6305 add 98 1 -> 99 |
| 1888 | addx6306 add 99 1 -> 100 |
| 1889 | addx6307 add 100 1 -> 101 |
| 1890 | addx6308 add 101 1 -> 102 |
| 1891 | addx6309 add -1 -1 -> -2 |
| 1892 | addx6310 add 0 -1 -> -1 |
| 1893 | addx6311 add 1 -1 -> 0 |
| 1894 | addx6312 add 12 -1 -> 11 |
| 1895 | addx6313 add 98 -1 -> 97 |
| 1896 | addx6314 add 99 -1 -> 98 |
| 1897 | addx6315 add 100 -1 -> 99 |
| 1898 | addx6316 add 101 -1 -> 100 |
| 1899 | |
| 1900 | addx6321 add -0.01 0.01 -> 0.00 |
| 1901 | addx6322 add 0.00 0.01 -> 0.01 |
| 1902 | addx6323 add 0.01 0.01 -> 0.02 |
| 1903 | addx6324 add 0.12 0.01 -> 0.13 |
| 1904 | addx6325 add 0.98 0.01 -> 0.99 |
| 1905 | addx6326 add 0.99 0.01 -> 1.00 |
| 1906 | addx6327 add 1.00 0.01 -> 1.01 |
| 1907 | addx6328 add 1.01 0.01 -> 1.02 |
| 1908 | addx6329 add -0.01 -0.01 -> -0.02 |
| 1909 | addx6330 add 0.00 -0.01 -> -0.01 |
| 1910 | addx6331 add 0.01 -0.01 -> 0.00 |
| 1911 | addx6332 add 0.12 -0.01 -> 0.11 |
| 1912 | addx6333 add 0.98 -0.01 -> 0.97 |
| 1913 | addx6334 add 0.99 -0.01 -> 0.98 |
| 1914 | addx6335 add 1.00 -0.01 -> 0.99 |
| 1915 | addx6336 add 1.01 -0.01 -> 1.00 |
| 1916 | |
| 1917 | -- some more cases where adding 0 affects the coefficient |
| 1918 | addx6340 add 1E+3 0 -> 1000 |
| 1919 | addx6341 add 1E+15 0 -> 1000000000000000 |
| 1920 | addx6342 add 1E+16 0 -> 1.000000000000000E+16 Rounded |
| 1921 | addx6343 add 1E+17 0 -> 1.000000000000000E+17 Rounded |
| 1922 | -- which simply follow from these cases ... |
| 1923 | addx6344 add 1E+3 1 -> 1001 |
| 1924 | addx6345 add 1E+15 1 -> 1000000000000001 |
| 1925 | addx6346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded |
| 1926 | addx6347 add 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded |
| 1927 | addx6348 add 1E+3 7 -> 1007 |
| 1928 | addx6349 add 1E+15 7 -> 1000000000000007 |
| 1929 | addx6350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded |
| 1930 | addx6351 add 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded |
| 1931 | |
| 1932 | -- tryzeros cases |
| 1933 | addx6361 add 0E+50 10000E+1 -> 1.0000E+5 |
| 1934 | addx6362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded |
| 1935 | addx6363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact |
| 1936 | addx6364 add 12.34 0e-398 -> 12.34000000000000 Rounded |
| 1937 | |
| 1938 | -- ulp replacement tests |
| 1939 | addx6400 add 1 77e-14 -> 1.00000000000077 |
| 1940 | addx6401 add 1 77e-15 -> 1.000000000000077 |
| 1941 | addx6402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded |
| 1942 | addx6403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded |
| 1943 | addx6404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded |
| 1944 | addx6405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded |
| 1945 | addx6406 add 1 77e-99 -> 1.000000000000000 Inexact Rounded |
| 1946 | |
| 1947 | addx6410 add 10 77e-14 -> 10.00000000000077 |
| 1948 | addx6411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded |
| 1949 | addx6412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded |
| 1950 | addx6413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded |
| 1951 | addx6414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded |
| 1952 | addx6415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded |
| 1953 | addx6416 add 10 77e-99 -> 10.00000000000000 Inexact Rounded |
| 1954 | |
| 1955 | addx6420 add 77e-14 1 -> 1.00000000000077 |
| 1956 | addx6421 add 77e-15 1 -> 1.000000000000077 |
| 1957 | addx6422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded |
| 1958 | addx6423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded |
| 1959 | addx6424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded |
| 1960 | addx6425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded |
| 1961 | addx6426 add 77e-99 1 -> 1.000000000000000 Inexact Rounded |
| 1962 | |
| 1963 | addx6430 add 77e-14 10 -> 10.00000000000077 |
| 1964 | addx6431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded |
| 1965 | addx6432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded |
| 1966 | addx6433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded |
| 1967 | addx6434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded |
| 1968 | addx6435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded |
| 1969 | addx6436 add 77e-99 10 -> 10.00000000000000 Inexact Rounded |
| 1970 | |
| 1971 | -- negative ulps |
| 1972 | addx6440 add 1 -77e-14 -> 0.99999999999923 |
| 1973 | addx6441 add 1 -77e-15 -> 0.999999999999923 |
| 1974 | addx6442 add 1 -77e-16 -> 0.9999999999999923 |
| 1975 | addx6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded |
| 1976 | addx6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded |
| 1977 | addx6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded |
| 1978 | addx6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded |
| 1979 | |
| 1980 | addx6450 add 10 -77e-14 -> 9.99999999999923 |
| 1981 | addx6451 add 10 -77e-15 -> 9.999999999999923 |
| 1982 | addx6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded |
| 1983 | addx6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded |
| 1984 | addx6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded |
| 1985 | addx6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded |
| 1986 | addx6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded |
| 1987 | |
| 1988 | addx6460 add -77e-14 1 -> 0.99999999999923 |
| 1989 | addx6461 add -77e-15 1 -> 0.999999999999923 |
| 1990 | addx6462 add -77e-16 1 -> 0.9999999999999923 |
| 1991 | addx6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded |
| 1992 | addx6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded |
| 1993 | addx6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded |
| 1994 | addx6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded |
| 1995 | |
| 1996 | addx6470 add -77e-14 10 -> 9.99999999999923 |
| 1997 | addx6471 add -77e-15 10 -> 9.999999999999923 |
| 1998 | addx6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded |
| 1999 | addx6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded |
| 2000 | addx6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded |
| 2001 | addx6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded |
| 2002 | addx6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded |
| 2003 | |
| 2004 | -- negative ulps |
| 2005 | addx6480 add -1 77e-14 -> -0.99999999999923 |
| 2006 | addx6481 add -1 77e-15 -> -0.999999999999923 |
| 2007 | addx6482 add -1 77e-16 -> -0.9999999999999923 |
| 2008 | addx6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded |
| 2009 | addx6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded |
| 2010 | addx6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded |
| 2011 | addx6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded |
| 2012 | |
| 2013 | addx6490 add -10 77e-14 -> -9.99999999999923 |
| 2014 | addx6491 add -10 77e-15 -> -9.999999999999923 |
| 2015 | addx6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded |
| 2016 | addx6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded |
| 2017 | addx6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded |
| 2018 | addx6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded |
| 2019 | addx6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded |
| 2020 | |
| 2021 | addx6500 add 77e-14 -1 -> -0.99999999999923 |
| 2022 | addx6501 add 77e-15 -1 -> -0.999999999999923 |
| 2023 | addx6502 add 77e-16 -1 -> -0.9999999999999923 |
| 2024 | addx6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded |
| 2025 | addx6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded |
| 2026 | addx6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded |
| 2027 | addx6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded |
| 2028 | |
| 2029 | addx6510 add 77e-14 -10 -> -9.99999999999923 |
| 2030 | addx6511 add 77e-15 -10 -> -9.999999999999923 |
| 2031 | addx6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded |
| 2032 | addx6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded |
| 2033 | addx6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded |
| 2034 | addx6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded |
| 2035 | addx6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded |
| 2036 | |
| 2037 | |
| 2038 | -- long operands |
| 2039 | addx6521 add 101234562345678000 0 -> 1.012345623456780E+17 Rounded |
| 2040 | addx6522 add 0 101234562345678000 -> 1.012345623456780E+17 Rounded |
| 2041 | addx6523 add 10123456234567800 0 -> 1.012345623456780E+16 Rounded |
| 2042 | addx6524 add 0 10123456234567800 -> 1.012345623456780E+16 Rounded |
| 2043 | addx6525 add 10123456234567890 0 -> 1.012345623456789E+16 Rounded |
| 2044 | addx6526 add 0 10123456234567890 -> 1.012345623456789E+16 Rounded |
| 2045 | addx6527 add 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded |
| 2046 | addx6528 add 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded |
| 2047 | addx6529 add 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded |
| 2048 | addx6530 add 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded |
| 2049 | addx6531 add 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded |
| 2050 | addx6532 add 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded |
| 2051 | |
| 2052 | -- verify a query |
| 2053 | rounding: down |
| 2054 | addx6561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded |
| 2055 | addx6562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded |
| 2056 | -- and using decimal64 bounds... |
| 2057 | rounding: down |
| 2058 | addx6563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded |
| 2059 | addx6564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded |
| 2060 | |
| 2061 | -- more zeros, etc. |
| 2062 | rounding: half_even |
| 2063 | |
| 2064 | addx6701 add 5.00 1.00E-3 -> 5.00100 |
| 2065 | addx6702 add 00.00 0.000 -> 0.000 |
| 2066 | addx6703 add 00.00 0E-3 -> 0.000 |
| 2067 | addx6704 add 0E-3 00.00 -> 0.000 |
| 2068 | |
| 2069 | addx6710 add 0E+3 00.00 -> 0.00 |
| 2070 | addx6711 add 0E+3 00.0 -> 0.0 |
| 2071 | addx6712 add 0E+3 00. -> 0 |
| 2072 | addx6713 add 0E+3 00.E+1 -> 0E+1 |
| 2073 | addx6714 add 0E+3 00.E+2 -> 0E+2 |
| 2074 | addx6715 add 0E+3 00.E+3 -> 0E+3 |
| 2075 | addx6716 add 0E+3 00.E+4 -> 0E+3 |
| 2076 | addx6717 add 0E+3 00.E+5 -> 0E+3 |
| 2077 | addx6718 add 0E+3 -00.0 -> 0.0 |
| 2078 | addx6719 add 0E+3 -00. -> 0 |
| 2079 | addx6731 add 0E+3 -00.E+1 -> 0E+1 |
| 2080 | |
| 2081 | addx6720 add 00.00 0E+3 -> 0.00 |
| 2082 | addx6721 add 00.0 0E+3 -> 0.0 |
| 2083 | addx6722 add 00. 0E+3 -> 0 |
| 2084 | addx6723 add 00.E+1 0E+3 -> 0E+1 |
| 2085 | addx6724 add 00.E+2 0E+3 -> 0E+2 |
| 2086 | addx6725 add 00.E+3 0E+3 -> 0E+3 |
| 2087 | addx6726 add 00.E+4 0E+3 -> 0E+3 |
| 2088 | addx6727 add 00.E+5 0E+3 -> 0E+3 |
| 2089 | addx6728 add -00.00 0E+3 -> 0.00 |
| 2090 | addx6729 add -00.0 0E+3 -> 0.0 |
| 2091 | addx6730 add -00. 0E+3 -> 0 |
| 2092 | |
| 2093 | addx6732 add 0 0 -> 0 |
| 2094 | addx6733 add 0 -0 -> 0 |
| 2095 | addx6734 add -0 0 -> 0 |
| 2096 | addx6735 add -0 -0 -> -0 -- IEEE 854 special case |
| 2097 | |
| 2098 | addx6736 add 1 -1 -> 0 |
| 2099 | addx6737 add -1 -1 -> -2 |
| 2100 | addx6738 add 1 1 -> 2 |
| 2101 | addx6739 add -1 1 -> 0 |
| 2102 | |
| 2103 | addx6741 add 0 -1 -> -1 |
| 2104 | addx6742 add -0 -1 -> -1 |
| 2105 | addx6743 add 0 1 -> 1 |
| 2106 | addx6744 add -0 1 -> 1 |
| 2107 | addx6745 add -1 0 -> -1 |
| 2108 | addx6746 add -1 -0 -> -1 |
| 2109 | addx6747 add 1 0 -> 1 |
| 2110 | addx6748 add 1 -0 -> 1 |
| 2111 | |
| 2112 | addx6751 add 0.0 -1 -> -1.0 |
| 2113 | addx6752 add -0.0 -1 -> -1.0 |
| 2114 | addx6753 add 0.0 1 -> 1.0 |
| 2115 | addx6754 add -0.0 1 -> 1.0 |
| 2116 | addx6755 add -1.0 0 -> -1.0 |
| 2117 | addx6756 add -1.0 -0 -> -1.0 |
| 2118 | addx6757 add 1.0 0 -> 1.0 |
| 2119 | addx6758 add 1.0 -0 -> 1.0 |
| 2120 | |
| 2121 | addx6761 add 0 -1.0 -> -1.0 |
| 2122 | addx6762 add -0 -1.0 -> -1.0 |
| 2123 | addx6763 add 0 1.0 -> 1.0 |
| 2124 | addx6764 add -0 1.0 -> 1.0 |
| 2125 | addx6765 add -1 0.0 -> -1.0 |
| 2126 | addx6766 add -1 -0.0 -> -1.0 |
| 2127 | addx6767 add 1 0.0 -> 1.0 |
| 2128 | addx6768 add 1 -0.0 -> 1.0 |
| 2129 | |
| 2130 | addx6771 add 0.0 -1.0 -> -1.0 |
| 2131 | addx6772 add -0.0 -1.0 -> -1.0 |
| 2132 | addx6773 add 0.0 1.0 -> 1.0 |
| 2133 | addx6774 add -0.0 1.0 -> 1.0 |
| 2134 | addx6775 add -1.0 0.0 -> -1.0 |
| 2135 | addx6776 add -1.0 -0.0 -> -1.0 |
| 2136 | addx6777 add 1.0 0.0 -> 1.0 |
| 2137 | addx6778 add 1.0 -0.0 -> 1.0 |
| 2138 | |
| 2139 | -- Specials |
| 2140 | addx6780 add -Inf -Inf -> -Infinity |
| 2141 | addx6781 add -Inf -1000 -> -Infinity |
| 2142 | addx6782 add -Inf -1 -> -Infinity |
| 2143 | addx6783 add -Inf -0 -> -Infinity |
| 2144 | addx6784 add -Inf 0 -> -Infinity |
| 2145 | addx6785 add -Inf 1 -> -Infinity |
| 2146 | addx6786 add -Inf 1000 -> -Infinity |
| 2147 | addx6787 add -1000 -Inf -> -Infinity |
| 2148 | addx6788 add -Inf -Inf -> -Infinity |
| 2149 | addx6789 add -1 -Inf -> -Infinity |
| 2150 | addx6790 add -0 -Inf -> -Infinity |
| 2151 | addx6791 add 0 -Inf -> -Infinity |
| 2152 | addx6792 add 1 -Inf -> -Infinity |
| 2153 | addx6793 add 1000 -Inf -> -Infinity |
| 2154 | addx6794 add Inf -Inf -> NaN Invalid_operation |
| 2155 | |
| 2156 | addx6800 add Inf -Inf -> NaN Invalid_operation |
| 2157 | addx6801 add Inf -1000 -> Infinity |
| 2158 | addx6802 add Inf -1 -> Infinity |
| 2159 | addx6803 add Inf -0 -> Infinity |
| 2160 | addx6804 add Inf 0 -> Infinity |
| 2161 | addx6805 add Inf 1 -> Infinity |
| 2162 | addx6806 add Inf 1000 -> Infinity |
| 2163 | addx6807 add Inf Inf -> Infinity |
| 2164 | addx6808 add -1000 Inf -> Infinity |
| 2165 | addx6809 add -Inf Inf -> NaN Invalid_operation |
| 2166 | addx6810 add -1 Inf -> Infinity |
| 2167 | addx6811 add -0 Inf -> Infinity |
| 2168 | addx6812 add 0 Inf -> Infinity |
| 2169 | addx6813 add 1 Inf -> Infinity |
| 2170 | addx6814 add 1000 Inf -> Infinity |
| 2171 | addx6815 add Inf Inf -> Infinity |
| 2172 | |
| 2173 | addx6821 add NaN -Inf -> NaN |
| 2174 | addx6822 add NaN -1000 -> NaN |
| 2175 | addx6823 add NaN -1 -> NaN |
| 2176 | addx6824 add NaN -0 -> NaN |
| 2177 | addx6825 add NaN 0 -> NaN |
| 2178 | addx6826 add NaN 1 -> NaN |
| 2179 | addx6827 add NaN 1000 -> NaN |
| 2180 | addx6828 add NaN Inf -> NaN |
| 2181 | addx6829 add NaN NaN -> NaN |
| 2182 | addx6830 add -Inf NaN -> NaN |
| 2183 | addx6831 add -1000 NaN -> NaN |
| 2184 | addx6832 add -1 NaN -> NaN |
| 2185 | addx6833 add -0 NaN -> NaN |
| 2186 | addx6834 add 0 NaN -> NaN |
| 2187 | addx6835 add 1 NaN -> NaN |
| 2188 | addx6836 add 1000 NaN -> NaN |
| 2189 | addx6837 add Inf NaN -> NaN |
| 2190 | |
| 2191 | addx6841 add sNaN -Inf -> NaN Invalid_operation |
| 2192 | addx6842 add sNaN -1000 -> NaN Invalid_operation |
| 2193 | addx6843 add sNaN -1 -> NaN Invalid_operation |
| 2194 | addx6844 add sNaN -0 -> NaN Invalid_operation |
| 2195 | addx6845 add sNaN 0 -> NaN Invalid_operation |
| 2196 | addx6846 add sNaN 1 -> NaN Invalid_operation |
| 2197 | addx6847 add sNaN 1000 -> NaN Invalid_operation |
| 2198 | addx6848 add sNaN NaN -> NaN Invalid_operation |
| 2199 | addx6849 add sNaN sNaN -> NaN Invalid_operation |
| 2200 | addx6850 add NaN sNaN -> NaN Invalid_operation |
| 2201 | addx6851 add -Inf sNaN -> NaN Invalid_operation |
| 2202 | addx6852 add -1000 sNaN -> NaN Invalid_operation |
| 2203 | addx6853 add -1 sNaN -> NaN Invalid_operation |
| 2204 | addx6854 add -0 sNaN -> NaN Invalid_operation |
| 2205 | addx6855 add 0 sNaN -> NaN Invalid_operation |
| 2206 | addx6856 add 1 sNaN -> NaN Invalid_operation |
| 2207 | addx6857 add 1000 sNaN -> NaN Invalid_operation |
| 2208 | addx6858 add Inf sNaN -> NaN Invalid_operation |
| 2209 | addx6859 add NaN sNaN -> NaN Invalid_operation |
| 2210 | |
| 2211 | -- propagating NaNs |
| 2212 | addx6861 add NaN1 -Inf -> NaN1 |
| 2213 | addx6862 add +NaN2 -1000 -> NaN2 |
| 2214 | addx6863 add NaN3 1000 -> NaN3 |
| 2215 | addx6864 add NaN4 Inf -> NaN4 |
| 2216 | addx6865 add NaN5 +NaN6 -> NaN5 |
| 2217 | addx6866 add -Inf NaN7 -> NaN7 |
| 2218 | addx6867 add -1000 NaN8 -> NaN8 |
| 2219 | addx6868 add 1000 NaN9 -> NaN9 |
| 2220 | addx6869 add Inf +NaN10 -> NaN10 |
| 2221 | addx6871 add sNaN11 -Inf -> NaN11 Invalid_operation |
| 2222 | addx6872 add sNaN12 -1000 -> NaN12 Invalid_operation |
| 2223 | addx6873 add sNaN13 1000 -> NaN13 Invalid_operation |
| 2224 | addx6874 add sNaN14 NaN17 -> NaN14 Invalid_operation |
| 2225 | addx6875 add sNaN15 sNaN18 -> NaN15 Invalid_operation |
| 2226 | addx6876 add NaN16 sNaN19 -> NaN19 Invalid_operation |
| 2227 | addx6877 add -Inf +sNaN20 -> NaN20 Invalid_operation |
| 2228 | addx6878 add -1000 sNaN21 -> NaN21 Invalid_operation |
| 2229 | addx6879 add 1000 sNaN22 -> NaN22 Invalid_operation |
| 2230 | addx6880 add Inf sNaN23 -> NaN23 Invalid_operation |
| 2231 | addx6881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation |
| 2232 | addx6882 add -NaN26 NaN28 -> -NaN26 |
| 2233 | addx6883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation |
| 2234 | addx6884 add 1000 -NaN30 -> -NaN30 |
| 2235 | addx6885 add 1000 -sNaN31 -> -NaN31 Invalid_operation |
| 2236 | |
| 2237 | -- now the case where we can get underflow but the result is normal |
| 2238 | -- [note this can't happen if the operands are also bounded, as we |
| 2239 | -- cannot represent 1E-399, for example] |
| 2240 | |
| 2241 | addx6571 add 1E-383 0 -> 1E-383 |
| 2242 | addx6572 add 1E-384 0 -> 1E-384 Subnormal |
| 2243 | addx6573 add 1E-383 1E-384 -> 1.1E-383 |
| 2244 | addx6574 subtract 1E-383 1E-384 -> 9E-384 Subnormal |
| 2245 | |
| 2246 | -- Here we explore the boundary of rounding a subnormal to Nmin |
| 2247 | addx6575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal |
| 2248 | addx6576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal |
| 2249 | addx6577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
| 2250 | addx6578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
| 2251 | addx6579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
| 2252 | addx6580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
| 2253 | |
| 2254 | -- check overflow edge case |
| 2255 | -- 1234567890123456 |
| 2256 | addx6972 apply 9.999999999999999E+384 -> 9.999999999999999E+384 |
| 2257 | addx6973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded |
| 2258 | addx6974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded |
| 2259 | addx6975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded |
| 2260 | addx6976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded |
| 2261 | addx6977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded |
| 2262 | addx6978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded |
| 2263 | addx6979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded |
| 2264 | addx6980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded |
| 2265 | addx6981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded |
| 2266 | addx6982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded |
| 2267 | addx6983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded |
| 2268 | addx6984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded |
| 2269 | |
| 2270 | addx6985 apply -9.999999999999999E+384 -> -9.999999999999999E+384 |
| 2271 | addx6986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded |
| 2272 | addx6987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded |
| 2273 | addx6988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded |
| 2274 | addx6989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded |
| 2275 | addx6990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded |
| 2276 | addx6991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded |
| 2277 | addx6992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded |
| 2278 | addx6993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded |
| 2279 | addx6994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded |
| 2280 | addx6995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded |
| 2281 | addx6996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded |
| 2282 | addx6997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded |
| 2283 | |
| 2284 | -- And for round down full and subnormal results |
| 2285 | rounding: down |
| 2286 | addx61100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact |
| 2287 | addx61101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact |
| 2288 | addx61103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact |
| 2289 | addx61104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact |
| 2290 | addx61105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact |
| 2291 | addx61106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact |
| 2292 | addx61107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact |
| 2293 | addx61108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact |
| 2294 | addx61109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact |
| 2295 | |
| 2296 | rounding: ceiling |
| 2297 | addx61110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact |
| 2298 | addx61111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact |
| 2299 | addx61113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact |
| 2300 | addx61114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact |
| 2301 | addx61115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact |
| 2302 | addx61116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact |
| 2303 | addx61117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact |
| 2304 | addx61118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact |
| 2305 | addx61119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact |
| 2306 | |
| 2307 | -- tests based on Gunnar Degnbol's edge case |
| 2308 | rounding: half_even |
| 2309 | |
| 2310 | addx61300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded |
| 2311 | addx61310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded |
| 2312 | addx61311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded |
| 2313 | addx61312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded |
| 2314 | addx61313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded |
| 2315 | addx61314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded |
| 2316 | addx61315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded |
| 2317 | addx61316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded |
| 2318 | addx61317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded |
| 2319 | addx61318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded |
| 2320 | addx61319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded |
| 2321 | addx61320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded |
| 2322 | addx61321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded |
| 2323 | addx61322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded |
| 2324 | addx61323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded |
| 2325 | addx61324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded |
| 2326 | addx61325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2327 | addx61326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2328 | addx61327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2329 | addx61328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2330 | addx61329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2331 | addx61330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2332 | addx61331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2333 | addx61332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2334 | addx61333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2335 | addx61334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2336 | addx61335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded |
| 2337 | addx61336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded |
| 2338 | addx61337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded |
| 2339 | addx61338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded |
| 2340 | addx61339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded |
| 2341 | |
| 2342 | addx61340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded |
| 2343 | addx61341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded |
| 2344 | |
| 2345 | addx61349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded |
| 2346 | addx61350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded |
| 2347 | addx61351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded |
| 2348 | addx61352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded |
| 2349 | addx61353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded |
| 2350 | addx61354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded |
| 2351 | addx61355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded |
| 2352 | addx61356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded |
| 2353 | addx61357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded |
| 2354 | addx61358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded |
| 2355 | addx61359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded |
| 2356 | addx61360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded |
| 2357 | addx61361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded |
| 2358 | addx61362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded |
| 2359 | addx61363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded |
| 2360 | addx61364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded |
| 2361 | addx61365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2362 | addx61367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2363 | addx61368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2364 | addx61369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2365 | addx61370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2366 | addx61371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2367 | addx61372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2368 | addx61373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2369 | addx61374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2370 | addx61375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded |
| 2371 | addx61376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded |
| 2372 | addx61377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded |
| 2373 | addx61378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded |
| 2374 | addx61379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded |
| 2375 | addx61380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded |
| 2376 | addx61381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded |
| 2377 | addx61382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2378 | addx61383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2379 | addx61384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2380 | addx61385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2381 | addx61386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2382 | addx61387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2383 | addx61388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2384 | addx61389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2385 | addx61390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2386 | addx61391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded |
| 2387 | addx61392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded |
| 2388 | addx61393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded |
| 2389 | addx61394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded |
| 2390 | addx61395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded |
| 2391 | addx61396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded |
| 2392 | |
| 2393 | -- More GD edge cases, where difference between the unadjusted |
| 2394 | -- exponents is larger than the maximum precision and one side is 0 |
| 2395 | addx61420 add 0 1.123456789012345 -> 1.123456789012345 |
| 2396 | addx61421 add 0 1.123456789012345E-1 -> 0.1123456789012345 |
| 2397 | addx61422 add 0 1.123456789012345E-2 -> 0.01123456789012345 |
| 2398 | addx61423 add 0 1.123456789012345E-3 -> 0.001123456789012345 |
| 2399 | addx61424 add 0 1.123456789012345E-4 -> 0.0001123456789012345 |
| 2400 | addx61425 add 0 1.123456789012345E-5 -> 0.00001123456789012345 |
| 2401 | addx61426 add 0 1.123456789012345E-6 -> 0.000001123456789012345 |
| 2402 | addx61427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7 |
| 2403 | addx61428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8 |
| 2404 | addx61429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9 |
| 2405 | addx61430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10 |
| 2406 | addx61431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11 |
| 2407 | addx61432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12 |
| 2408 | addx61433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13 |
| 2409 | addx61434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14 |
| 2410 | addx61435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15 |
| 2411 | addx61436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16 |
| 2412 | addx61437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17 |
| 2413 | addx61438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18 |
| 2414 | addx61439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19 |
| 2415 | |
| 2416 | -- same, reversed 0 |
| 2417 | addx61440 add 1.123456789012345 0 -> 1.123456789012345 |
| 2418 | addx61441 add 1.123456789012345E-1 0 -> 0.1123456789012345 |
| 2419 | addx61442 add 1.123456789012345E-2 0 -> 0.01123456789012345 |
| 2420 | addx61443 add 1.123456789012345E-3 0 -> 0.001123456789012345 |
| 2421 | addx61444 add 1.123456789012345E-4 0 -> 0.0001123456789012345 |
| 2422 | addx61445 add 1.123456789012345E-5 0 -> 0.00001123456789012345 |
| 2423 | addx61446 add 1.123456789012345E-6 0 -> 0.000001123456789012345 |
| 2424 | addx61447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7 |
| 2425 | addx61448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8 |
| 2426 | addx61449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9 |
| 2427 | addx61450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 |
| 2428 | addx61451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 |
| 2429 | addx61452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 |
| 2430 | addx61453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 |
| 2431 | addx61454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 |
| 2432 | addx61455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 |
| 2433 | addx61456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 |
| 2434 | addx61457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 |
| 2435 | addx61458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 |
| 2436 | addx61459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 |
| 2437 | |
| 2438 | -- same, Es on the 0 |
| 2439 | addx61460 add 1.123456789012345 0E-0 -> 1.123456789012345 |
| 2440 | addx61461 add 1.123456789012345 0E-1 -> 1.123456789012345 |
| 2441 | addx61462 add 1.123456789012345 0E-2 -> 1.123456789012345 |
| 2442 | addx61463 add 1.123456789012345 0E-3 -> 1.123456789012345 |
| 2443 | addx61464 add 1.123456789012345 0E-4 -> 1.123456789012345 |
| 2444 | addx61465 add 1.123456789012345 0E-5 -> 1.123456789012345 |
| 2445 | addx61466 add 1.123456789012345 0E-6 -> 1.123456789012345 |
| 2446 | addx61467 add 1.123456789012345 0E-7 -> 1.123456789012345 |
| 2447 | addx61468 add 1.123456789012345 0E-8 -> 1.123456789012345 |
| 2448 | addx61469 add 1.123456789012345 0E-9 -> 1.123456789012345 |
| 2449 | addx61470 add 1.123456789012345 0E-10 -> 1.123456789012345 |
| 2450 | addx61471 add 1.123456789012345 0E-11 -> 1.123456789012345 |
| 2451 | addx61472 add 1.123456789012345 0E-12 -> 1.123456789012345 |
| 2452 | addx61473 add 1.123456789012345 0E-13 -> 1.123456789012345 |
| 2453 | addx61474 add 1.123456789012345 0E-14 -> 1.123456789012345 |
| 2454 | addx61475 add 1.123456789012345 0E-15 -> 1.123456789012345 |
| 2455 | -- next four flag Rounded because the 0 extends the result |
| 2456 | addx61476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded |
| 2457 | addx61477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded |
| 2458 | addx61478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded |
| 2459 | addx61479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded |
| 2460 | |
| 2461 | -- sum of two opposite-sign operands is exactly 0 and floor => -0 |
| 2462 | rounding: half_up |
| 2463 | -- exact zeros from zeros |
| 2464 | addx61500 add 0 0E-19 -> 0E-19 |
| 2465 | addx61501 add -0 0E-19 -> 0E-19 |
| 2466 | addx61502 add 0 -0E-19 -> 0E-19 |
| 2467 | addx61503 add -0 -0E-19 -> -0E-19 |
| 2468 | addx61504 add 0E-400 0E-19 -> 0E-398 Clamped |
| 2469 | addx61505 add -0E-400 0E-19 -> 0E-398 Clamped |
| 2470 | addx61506 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 2471 | addx61507 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 2472 | -- inexact zeros |
| 2473 | addx61511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2474 | addx61512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2475 | addx61513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2476 | addx61514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2477 | -- some exact zeros from non-zeros |
| 2478 | addx61515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2479 | addx61516 add -1E-401 1E-401 -> 0E-398 Clamped |
| 2480 | addx61517 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 2481 | addx61518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2482 | |
| 2483 | rounding: half_down |
| 2484 | -- exact zeros from zeros |
| 2485 | addx61520 add 0 0E-19 -> 0E-19 |
| 2486 | addx61521 add -0 0E-19 -> 0E-19 |
| 2487 | addx61522 add 0 -0E-19 -> 0E-19 |
| 2488 | addx61523 add -0 -0E-19 -> -0E-19 |
| 2489 | addx61524 add 0E-400 0E-19 -> 0E-398 Clamped |
| 2490 | addx61525 add -0E-400 0E-19 -> 0E-398 Clamped |
| 2491 | addx61526 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 2492 | addx61527 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 2493 | -- inexact zeros |
| 2494 | addx61531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2495 | addx61532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2496 | addx61533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2497 | addx61534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2498 | -- some exact zeros from non-zeros |
| 2499 | addx61535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2500 | addx61536 add -1E-401 1E-401 -> 0E-398 Clamped |
| 2501 | addx61537 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 2502 | addx61538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2503 | |
| 2504 | rounding: half_even |
| 2505 | -- exact zeros from zeros |
| 2506 | addx61540 add 0 0E-19 -> 0E-19 |
| 2507 | addx61541 add -0 0E-19 -> 0E-19 |
| 2508 | addx61542 add 0 -0E-19 -> 0E-19 |
| 2509 | addx61543 add -0 -0E-19 -> -0E-19 |
| 2510 | addx61544 add 0E-400 0E-19 -> 0E-398 Clamped |
| 2511 | addx61545 add -0E-400 0E-19 -> 0E-398 Clamped |
| 2512 | addx61546 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 2513 | addx61547 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 2514 | -- inexact zeros |
| 2515 | addx61551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2516 | addx61552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2517 | addx61553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2518 | addx61554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2519 | -- some exact zeros from non-zeros |
| 2520 | addx61555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2521 | addx61556 add -1E-401 1E-401 -> 0E-398 Clamped |
| 2522 | addx61557 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 2523 | addx61558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2524 | |
| 2525 | rounding: up |
| 2526 | -- exact zeros from zeros |
| 2527 | addx61560 add 0 0E-19 -> 0E-19 |
| 2528 | addx61561 add -0 0E-19 -> 0E-19 |
| 2529 | addx61562 add 0 -0E-19 -> 0E-19 |
| 2530 | addx61563 add -0 -0E-19 -> -0E-19 |
| 2531 | addx61564 add 0E-400 0E-19 -> 0E-398 Clamped |
| 2532 | addx61565 add -0E-400 0E-19 -> 0E-398 Clamped |
| 2533 | addx61566 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 2534 | addx61567 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 2535 | -- inexact zeros |
| 2536 | addx61571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 2537 | addx61572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 2538 | addx61573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 2539 | addx61574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 2540 | -- some exact zeros from non-zeros |
| 2541 | addx61575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 2542 | addx61576 add -1E-401 1E-401 -> 0E-398 Clamped |
| 2543 | addx61577 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 2544 | addx61578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 2545 | |
| 2546 | rounding: down |
| 2547 | -- exact zeros from zeros |
| 2548 | addx61580 add 0 0E-19 -> 0E-19 |
| 2549 | addx61581 add -0 0E-19 -> 0E-19 |
| 2550 | addx61582 add 0 -0E-19 -> 0E-19 |
| 2551 | addx61583 add -0 -0E-19 -> -0E-19 |
| 2552 | addx61584 add 0E-400 0E-19 -> 0E-398 Clamped |
| 2553 | addx61585 add -0E-400 0E-19 -> 0E-398 Clamped |
| 2554 | addx61586 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 2555 | addx61587 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 2556 | -- inexact zeros |
| 2557 | addx61591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2558 | addx61592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2559 | addx61593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2560 | addx61594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2561 | -- some exact zeros from non-zeros |
| 2562 | addx61595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2563 | addx61596 add -1E-401 1E-401 -> 0E-398 Clamped |
| 2564 | addx61597 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 2565 | addx61598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2566 | |
| 2567 | rounding: ceiling |
| 2568 | -- exact zeros from zeros |
| 2569 | addx61600 add 0 0E-19 -> 0E-19 |
| 2570 | addx61601 add -0 0E-19 -> 0E-19 |
| 2571 | addx61602 add 0 -0E-19 -> 0E-19 |
| 2572 | addx61603 add -0 -0E-19 -> -0E-19 |
| 2573 | addx61604 add 0E-400 0E-19 -> 0E-398 Clamped |
| 2574 | addx61605 add -0E-400 0E-19 -> 0E-398 Clamped |
| 2575 | addx61606 add 0E-400 -0E-19 -> 0E-398 Clamped |
| 2576 | addx61607 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 2577 | -- inexact zeros |
| 2578 | addx61611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 2579 | addx61612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 2580 | addx61613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2581 | addx61614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2582 | -- some exact zeros from non-zeros |
| 2583 | addx61615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow |
| 2584 | addx61616 add -1E-401 1E-401 -> 0E-398 Clamped |
| 2585 | addx61617 add 1E-401 -1E-401 -> 0E-398 Clamped |
| 2586 | addx61618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2587 | |
| 2588 | -- and the extra-special ugly case; unusual minuses marked by -- * |
| 2589 | rounding: floor |
| 2590 | -- exact zeros from zeros |
| 2591 | addx61620 add 0 0E-19 -> 0E-19 |
| 2592 | addx61621 add -0 0E-19 -> -0E-19 -- * |
| 2593 | addx61622 add 0 -0E-19 -> -0E-19 -- * |
| 2594 | addx61623 add -0 -0E-19 -> -0E-19 |
| 2595 | addx61624 add 0E-400 0E-19 -> 0E-398 Clamped |
| 2596 | addx61625 add -0E-400 0E-19 -> -0E-398 Clamped -- * |
| 2597 | addx61626 add 0E-400 -0E-19 -> -0E-398 Clamped -- * |
| 2598 | addx61627 add -0E-400 -0E-19 -> -0E-398 Clamped |
| 2599 | -- inexact zeros |
| 2600 | addx61631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2601 | addx61632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2602 | addx61633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 2603 | addx61634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 2604 | -- some exact zeros from non-zeros |
| 2605 | addx61635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped |
| 2606 | addx61636 add -1E-401 1E-401 -> -0E-398 Clamped -- * |
| 2607 | addx61637 add 1E-401 -1E-401 -> -0E-398 Clamped -- * |
| 2608 | addx61638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow |
| 2609 | |
| 2610 | -- Examples from SQL proposal (Krishna Kulkarni) |
| 2611 | addx61701 add 130E-2 120E-2 -> 2.50 |
| 2612 | addx61702 add 130E-2 12E-1 -> 2.50 |
| 2613 | addx61703 add 130E-2 1E0 -> 2.30 |
| 2614 | addx61704 add 1E2 1E4 -> 1.01E+4 |
| 2615 | addx61705 subtract 130E-2 120E-2 -> 0.10 |
| 2616 | addx61706 subtract 130E-2 12E-1 -> 0.10 |
| 2617 | addx61707 subtract 130E-2 1E0 -> 0.30 |
| 2618 | addx61708 subtract 1E2 1E4 -> -9.9E+3 |
| 2619 | |
| 2620 | -- Gappy coefficients; check residue handling even with full coefficient gap |
| 2621 | rounding: half_even |
| 2622 | |
| 2623 | addx62001 add 1234567890123456 1 -> 1234567890123457 |
| 2624 | addx62002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded |
| 2625 | addx62003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded |
| 2626 | addx62004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded |
| 2627 | addx62005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded |
| 2628 | addx62006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded |
| 2629 | addx62007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded |
| 2630 | addx62008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded |
| 2631 | addx62009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded |
| 2632 | addx62010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded |
| 2633 | addx62011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded |
| 2634 | addx62012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded |
| 2635 | addx62013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded |
| 2636 | addx62014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded |
| 2637 | addx62015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded |
| 2638 | addx62016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded |
| 2639 | addx62017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded |
| 2640 | addx62018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded |
| 2641 | addx62019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded |
| 2642 | addx62020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded |
| 2643 | addx62021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded |
| 2644 | |
| 2645 | -- widening second argument at gap |
| 2646 | addx62030 add 12345678 1 -> 12345679 |
| 2647 | addx62031 add 12345678 0.1 -> 12345678.1 |
| 2648 | addx62032 add 12345678 0.12 -> 12345678.12 |
| 2649 | addx62033 add 12345678 0.123 -> 12345678.123 |
| 2650 | addx62034 add 12345678 0.1234 -> 12345678.1234 |
| 2651 | addx62035 add 12345678 0.12345 -> 12345678.12345 |
| 2652 | addx62036 add 12345678 0.123456 -> 12345678.123456 |
| 2653 | addx62037 add 12345678 0.1234567 -> 12345678.1234567 |
| 2654 | addx62038 add 12345678 0.12345678 -> 12345678.12345678 |
| 2655 | addx62039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded |
| 2656 | addx62040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded |
| 2657 | addx62041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded |
| 2658 | addx62042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded |
| 2659 | addx62043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded |
| 2660 | addx62044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded |
| 2661 | addx62045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded |
| 2662 | addx62046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded |
| 2663 | addx62047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded |
| 2664 | addx62048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded |
| 2665 | addx62049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded |
| 2666 | -- 90123456 |
| 2667 | rounding: half_even |
| 2668 | addx62050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded |
| 2669 | addx62051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded |
| 2670 | addx62052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded |
| 2671 | addx62053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded |
| 2672 | addx62054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded |
| 2673 | addx62055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded |
| 2674 | addx62056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded |
| 2675 | addx62057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded |
| 2676 | addx62060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded |
| 2677 | addx62061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded |
| 2678 | addx62062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded |
| 2679 | addx62063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded |
| 2680 | addx62064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded |
| 2681 | addx62065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded |
| 2682 | addx62066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded |
| 2683 | addx62067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded |
| 2684 | -- far-out residues (full coefficient gap is 16+15 digits) |
| 2685 | rounding: up |
| 2686 | addx62070 add 12345678 1E-8 -> 12345678.00000001 |
| 2687 | addx62071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded |
| 2688 | addx62072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded |
| 2689 | addx62073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded |
| 2690 | addx62074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded |
| 2691 | addx62075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded |
| 2692 | addx62076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded |
| 2693 | addx62077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded |
| 2694 | addx62078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded |
| 2695 | addx62079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded |
| 2696 | addx62080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded |
| 2697 | addx62081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded |
| 2698 | addx62082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded |
| 2699 | addx62083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded |
| 2700 | addx62084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded |
| 2701 | addx62085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded |
| 2702 | addx62086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded |
| 2703 | addx62087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded |
| 2704 | addx62088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded |
| 2705 | addx62089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded |
| 2706 | |
| 2707 | -- payload decapitate |
| 2708 | precision: 5 |
| 2709 | addx62100 add 11 sNaN123456789 -> NaN56789 Invalid_operation |
| 2710 | addx62101 add -11 -sNaN123456789 -> -NaN56789 Invalid_operation |
| 2711 | addx62102 add 11 NaN123456789 -> NaN56789 |
| 2712 | addx62103 add -11 -NaN123456789 -> -NaN56789 |
Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 2713 | |
| 2714 | -- Null tests |
| 2715 | addx9990 add 10 # -> NaN Invalid_operation |
| 2716 | addx9991 add # 10 -> NaN Invalid_operation |