Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1 | ------------------------------------------------------------------------ |
| 2 | -- add.decTest -- decimal addition -- |
| 3 | -- Copyright (c) IBM Corporation, 1981, 2004. All rights reserved. -- |
| 4 | ------------------------------------------------------------------------ |
| 5 | -- Please see the document "General Decimal Arithmetic Testcases" -- |
| 6 | -- at http://www2.hursley.ibm.com/decimal for the description of -- |
| 7 | -- these testcases. -- |
| 8 | -- -- |
| 9 | -- These testcases are experimental ('beta' versions), and they -- |
| 10 | -- may contain errors. They are offered on an as-is basis. In -- |
| 11 | -- particular, achieving the same results as the tests here is not -- |
| 12 | -- a guarantee that an implementation complies with any Standard -- |
| 13 | -- or specification. The tests are not exhaustive. -- |
| 14 | -- -- |
| 15 | -- Please send comments, suggestions, and corrections to the author: -- |
| 16 | -- Mike Cowlishaw, IBM Fellow -- |
| 17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- |
| 18 | -- mfc@uk.ibm.com -- |
| 19 | ------------------------------------------------------------------------ |
Raymond Hettinger | 3ee3ed2 | 2004-08-17 06:42:13 +0000 | [diff] [blame] | 20 | version: 2.39 |
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' |
| 89 | |
| 90 | -- examples from decarith |
| 91 | addx053 add '12' '7.00' -> '19.00' |
| 92 | addx054 add '1.3' '-1.07' -> '0.23' |
| 93 | addx055 add '1.3' '-1.30' -> '0.00' |
| 94 | addx056 add '1.3' '-2.07' -> '-0.77' |
| 95 | addx057 add '1E+2' '1E+4' -> '1.01E+4' |
| 96 | |
| 97 | -- zero preservation |
| 98 | precision: 6 |
| 99 | addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded |
| 100 | addx061 add 1 '0.0001' -> '1.0001' |
| 101 | addx062 add 1 '0.00001' -> '1.00001' |
| 102 | addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded |
| 103 | addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded |
| 104 | addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded |
| 105 | |
| 106 | -- some funny zeros [in case of bad signum] |
| 107 | addx070 add 1 0 -> 1 |
| 108 | addx071 add 1 0. -> 1 |
| 109 | addx072 add 1 .0 -> 1.0 |
| 110 | addx073 add 1 0.0 -> 1.0 |
| 111 | addx074 add 1 0.00 -> 1.00 |
| 112 | addx075 add 0 1 -> 1 |
| 113 | addx076 add 0. 1 -> 1 |
| 114 | addx077 add .0 1 -> 1.0 |
| 115 | addx078 add 0.0 1 -> 1.0 |
| 116 | addx079 add 0.00 1 -> 1.00 |
| 117 | |
| 118 | precision: 9 |
| 119 | |
| 120 | -- some carries |
| 121 | addx080 add 999999998 1 -> 999999999 |
| 122 | addx081 add 999999999 1 -> 1.00000000E+9 Rounded |
| 123 | addx082 add 99999999 1 -> 100000000 |
| 124 | addx083 add 9999999 1 -> 10000000 |
| 125 | addx084 add 999999 1 -> 1000000 |
| 126 | addx085 add 99999 1 -> 100000 |
| 127 | addx086 add 9999 1 -> 10000 |
| 128 | addx087 add 999 1 -> 1000 |
| 129 | addx088 add 99 1 -> 100 |
| 130 | addx089 add 9 1 -> 10 |
| 131 | |
| 132 | |
| 133 | -- more LHS swaps |
| 134 | addx090 add '-56267E-10' 0 -> '-0.0000056267' |
| 135 | addx091 add '-56267E-6' 0 -> '-0.056267' |
| 136 | addx092 add '-56267E-5' 0 -> '-0.56267' |
| 137 | addx093 add '-56267E-4' 0 -> '-5.6267' |
| 138 | addx094 add '-56267E-3' 0 -> '-56.267' |
| 139 | addx095 add '-56267E-2' 0 -> '-562.67' |
| 140 | addx096 add '-56267E-1' 0 -> '-5626.7' |
| 141 | addx097 add '-56267E-0' 0 -> '-56267' |
| 142 | addx098 add '-5E-10' 0 -> '-5E-10' |
| 143 | addx099 add '-5E-7' 0 -> '-5E-7' |
| 144 | addx100 add '-5E-6' 0 -> '-0.000005' |
| 145 | addx101 add '-5E-5' 0 -> '-0.00005' |
| 146 | addx102 add '-5E-4' 0 -> '-0.0005' |
| 147 | addx103 add '-5E-1' 0 -> '-0.5' |
| 148 | addx104 add '-5E0' 0 -> '-5' |
| 149 | addx105 add '-5E1' 0 -> '-50' |
| 150 | addx106 add '-5E5' 0 -> '-500000' |
| 151 | addx107 add '-5E8' 0 -> '-500000000' |
| 152 | addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded |
| 153 | addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded |
| 154 | addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded |
| 155 | addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded |
| 156 | |
| 157 | -- more RHS swaps |
| 158 | addx113 add 0 '-56267E-10' -> '-0.0000056267' |
| 159 | addx114 add 0 '-56267E-6' -> '-0.056267' |
| 160 | addx116 add 0 '-56267E-5' -> '-0.56267' |
| 161 | addx117 add 0 '-56267E-4' -> '-5.6267' |
| 162 | addx119 add 0 '-56267E-3' -> '-56.267' |
| 163 | addx120 add 0 '-56267E-2' -> '-562.67' |
| 164 | addx121 add 0 '-56267E-1' -> '-5626.7' |
| 165 | addx122 add 0 '-56267E-0' -> '-56267' |
| 166 | addx123 add 0 '-5E-10' -> '-5E-10' |
| 167 | addx124 add 0 '-5E-7' -> '-5E-7' |
| 168 | addx125 add 0 '-5E-6' -> '-0.000005' |
| 169 | addx126 add 0 '-5E-5' -> '-0.00005' |
| 170 | addx127 add 0 '-5E-4' -> '-0.0005' |
| 171 | addx128 add 0 '-5E-1' -> '-0.5' |
| 172 | addx129 add 0 '-5E0' -> '-5' |
| 173 | addx130 add 0 '-5E1' -> '-50' |
| 174 | addx131 add 0 '-5E5' -> '-500000' |
| 175 | addx132 add 0 '-5E8' -> '-500000000' |
| 176 | addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded |
| 177 | addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded |
| 178 | addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded |
| 179 | addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded |
| 180 | |
| 181 | -- related |
| 182 | addx137 add 1 '0E-12' -> '1.00000000' Rounded |
| 183 | addx138 add -1 '0E-12' -> '-1.00000000' Rounded |
| 184 | addx139 add '0E-12' 1 -> '1.00000000' Rounded |
| 185 | addx140 add '0E-12' -1 -> '-1.00000000' Rounded |
| 186 | addx141 add 1E+4 0.0000 -> '10000.0000' |
| 187 | addx142 add 1E+4 0.00000 -> '10000.0000' Rounded |
| 188 | addx143 add 0.000 1E+5 -> '100000.000' |
| 189 | addx144 add 0.0000 1E+5 -> '100000.000' Rounded |
| 190 | |
| 191 | -- [some of the next group are really constructor tests] |
| 192 | addx146 add '00.0' 0 -> '0.0' |
| 193 | addx147 add '0.00' 0 -> '0.00' |
| 194 | addx148 add 0 '0.00' -> '0.00' |
| 195 | addx149 add 0 '00.0' -> '0.0' |
| 196 | addx150 add '00.0' '0.00' -> '0.00' |
| 197 | addx151 add '0.00' '00.0' -> '0.00' |
| 198 | addx152 add '3' '.3' -> '3.3' |
| 199 | addx153 add '3.' '.3' -> '3.3' |
| 200 | addx154 add '3.0' '.3' -> '3.3' |
| 201 | addx155 add '3.00' '.3' -> '3.30' |
| 202 | addx156 add '3' '3' -> '6' |
| 203 | addx157 add '3' '+3' -> '6' |
| 204 | addx158 add '3' '-3' -> '0' |
| 205 | addx159 add '0.3' '-0.3' -> '0.0' |
| 206 | addx160 add '0.03' '-0.03' -> '0.00' |
| 207 | |
| 208 | -- try borderline precision, with carries, etc. |
| 209 | precision: 15 |
| 210 | addx161 add '1E+12' '-1' -> '999999999999' |
| 211 | addx162 add '1E+12' '1.11' -> '1000000000001.11' |
| 212 | addx163 add '1.11' '1E+12' -> '1000000000001.11' |
| 213 | addx164 add '-1' '1E+12' -> '999999999999' |
| 214 | addx165 add '7E+12' '-1' -> '6999999999999' |
| 215 | addx166 add '7E+12' '1.11' -> '7000000000001.11' |
| 216 | addx167 add '1.11' '7E+12' -> '7000000000001.11' |
| 217 | addx168 add '-1' '7E+12' -> '6999999999999' |
| 218 | |
| 219 | -- 123456789012345 123456789012345 1 23456789012345 |
| 220 | addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded |
| 221 | addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded |
| 222 | addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded |
| 223 | addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded |
| 224 | addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded |
| 225 | addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded |
| 226 | addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded |
| 227 | addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded |
| 228 | addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999' |
| 229 | addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998' |
| 230 | addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997' |
| 231 | addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996' |
| 232 | addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995' |
| 233 | addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994' |
| 234 | |
| 235 | -- and some more, including residue effects and different roundings |
| 236 | precision: 9 |
| 237 | rounding: half_up |
| 238 | addx200 add '123456789' 0 -> '123456789' |
| 239 | addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded |
| 240 | addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded |
| 241 | addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded |
| 242 | addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded |
| 243 | addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded |
| 244 | addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded |
| 245 | addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded |
| 246 | addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded |
| 247 | addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded |
| 248 | addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded |
| 249 | addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded |
| 250 | addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded |
| 251 | addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded |
| 252 | addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded |
| 253 | addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded |
| 254 | addx216 add '123456789' 1 -> '123456790' |
| 255 | addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded |
| 256 | addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded |
| 257 | addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded |
| 258 | |
| 259 | rounding: half_even |
| 260 | addx220 add '123456789' 0 -> '123456789' |
| 261 | addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded |
| 262 | addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded |
| 263 | addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded |
| 264 | addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded |
| 265 | addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded |
| 266 | addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded |
| 267 | addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded |
| 268 | addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded |
| 269 | addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded |
| 270 | addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded |
| 271 | addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded |
| 272 | addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded |
| 273 | addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded |
| 274 | addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded |
| 275 | addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded |
| 276 | addx236 add '123456789' 1 -> '123456790' |
| 277 | addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded |
| 278 | addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded |
| 279 | addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded |
| 280 | -- critical few with even bottom digit... |
| 281 | addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded |
| 282 | addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded |
| 283 | addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded |
| 284 | |
| 285 | rounding: down |
| 286 | addx250 add '123456789' 0 -> '123456789' |
| 287 | addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded |
| 288 | addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded |
| 289 | addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded |
| 290 | addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded |
| 291 | addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded |
| 292 | addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded |
| 293 | addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded |
| 294 | addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded |
| 295 | addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded |
| 296 | addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded |
| 297 | addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded |
| 298 | addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded |
| 299 | addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded |
| 300 | addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded |
| 301 | addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded |
| 302 | addx266 add '123456789' 1 -> '123456790' |
| 303 | addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded |
| 304 | addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded |
| 305 | addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded |
| 306 | |
| 307 | -- input preparation tests (operands should not be rounded) |
| 308 | precision: 3 |
| 309 | rounding: half_up |
| 310 | |
| 311 | addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded |
| 312 | addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded |
| 313 | |
| 314 | addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded |
| 315 | addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded |
| 316 | addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded |
| 317 | addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded |
| 318 | addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded |
| 319 | addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded |
| 320 | addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded |
| 321 | |
| 322 | addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded |
| 323 | addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded |
| 324 | addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded |
| 325 | addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded |
| 326 | addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded |
| 327 | addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded |
| 328 | addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded |
| 329 | |
| 330 | rounding: half_down |
| 331 | addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded |
| 332 | addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded |
| 333 | addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded |
| 334 | addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded |
| 335 | addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded |
| 336 | addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded |
| 337 | addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded |
| 338 | |
| 339 | -- 1 in last place tests |
| 340 | rounding: half_up |
| 341 | addx301 add -1 1 -> 0 |
| 342 | addx302 add 0 1 -> 1 |
| 343 | addx303 add 1 1 -> 2 |
| 344 | addx304 add 12 1 -> 13 |
| 345 | addx305 add 98 1 -> 99 |
| 346 | addx306 add 99 1 -> 100 |
| 347 | addx307 add 100 1 -> 101 |
| 348 | addx308 add 101 1 -> 102 |
| 349 | addx309 add -1 -1 -> -2 |
| 350 | addx310 add 0 -1 -> -1 |
| 351 | addx311 add 1 -1 -> 0 |
| 352 | addx312 add 12 -1 -> 11 |
| 353 | addx313 add 98 -1 -> 97 |
| 354 | addx314 add 99 -1 -> 98 |
| 355 | addx315 add 100 -1 -> 99 |
| 356 | addx316 add 101 -1 -> 100 |
| 357 | |
| 358 | addx321 add -0.01 0.01 -> 0.00 |
| 359 | addx322 add 0.00 0.01 -> 0.01 |
| 360 | addx323 add 0.01 0.01 -> 0.02 |
| 361 | addx324 add 0.12 0.01 -> 0.13 |
| 362 | addx325 add 0.98 0.01 -> 0.99 |
| 363 | addx326 add 0.99 0.01 -> 1.00 |
| 364 | addx327 add 1.00 0.01 -> 1.01 |
| 365 | addx328 add 1.01 0.01 -> 1.02 |
| 366 | addx329 add -0.01 -0.01 -> -0.02 |
| 367 | addx330 add 0.00 -0.01 -> -0.01 |
| 368 | addx331 add 0.01 -0.01 -> 0.00 |
| 369 | addx332 add 0.12 -0.01 -> 0.11 |
| 370 | addx333 add 0.98 -0.01 -> 0.97 |
| 371 | addx334 add 0.99 -0.01 -> 0.98 |
| 372 | addx335 add 1.00 -0.01 -> 0.99 |
| 373 | addx336 add 1.01 -0.01 -> 1.00 |
| 374 | |
| 375 | -- some more cases where adding 0 affects the coefficient |
| 376 | precision: 9 |
| 377 | addx340 add 1E+3 0 -> 1000 |
| 378 | addx341 add 1E+8 0 -> 100000000 |
| 379 | addx342 add 1E+9 0 -> 1.00000000E+9 Rounded |
| 380 | addx343 add 1E+10 0 -> 1.00000000E+10 Rounded |
| 381 | -- which simply follow from these cases ... |
| 382 | addx344 add 1E+3 1 -> 1001 |
| 383 | addx345 add 1E+8 1 -> 100000001 |
| 384 | addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded |
| 385 | addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded |
| 386 | addx348 add 1E+3 7 -> 1007 |
| 387 | addx349 add 1E+8 7 -> 100000007 |
| 388 | addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded |
| 389 | addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded |
| 390 | |
| 391 | -- tryzeros cases |
| 392 | precision: 7 |
| 393 | rounding: half_up |
| 394 | maxExponent: 92 |
| 395 | minexponent: -92 |
| 396 | addx361 add 0E+50 10000E+1 -> 1.0000E+5 |
| 397 | addx362 add 10000E+1 0E-50 -> 100000.0 Rounded |
| 398 | addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact |
| 399 | |
| 400 | -- a curiosity from JSR 13 testing |
| 401 | rounding: half_down |
| 402 | precision: 10 |
| 403 | addx370 add 99999999 81512 -> 100081511 |
| 404 | precision: 6 |
| 405 | addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact |
| 406 | rounding: half_up |
| 407 | precision: 10 |
| 408 | addx372 add 99999999 81512 -> 100081511 |
| 409 | precision: 6 |
| 410 | addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact |
| 411 | rounding: half_even |
| 412 | precision: 10 |
| 413 | addx374 add 99999999 81512 -> 100081511 |
| 414 | precision: 6 |
| 415 | addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact |
| 416 | |
| 417 | -- ulp replacement tests |
| 418 | precision: 9 |
| 419 | maxexponent: 999999999 |
| 420 | minexponent: -999999999 |
| 421 | addx400 add 1 77e-7 -> 1.0000077 |
| 422 | addx401 add 1 77e-8 -> 1.00000077 |
| 423 | addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded |
| 424 | addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded |
| 425 | addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded |
| 426 | addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded |
| 427 | addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded |
| 428 | addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded |
| 429 | |
| 430 | addx410 add 10 77e-7 -> 10.0000077 |
| 431 | addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded |
| 432 | addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded |
| 433 | addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded |
| 434 | addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded |
| 435 | addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded |
| 436 | addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded |
| 437 | addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded |
| 438 | |
| 439 | addx420 add 77e-7 1 -> 1.0000077 |
| 440 | addx421 add 77e-8 1 -> 1.00000077 |
| 441 | addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded |
| 442 | addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded |
| 443 | addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded |
| 444 | addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded |
| 445 | addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded |
| 446 | addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded |
| 447 | |
| 448 | addx430 add 77e-7 10 -> 10.0000077 |
| 449 | addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded |
| 450 | addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded |
| 451 | addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded |
| 452 | addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded |
| 453 | addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded |
| 454 | addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded |
| 455 | addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded |
| 456 | |
| 457 | -- negative ulps |
| 458 | addx440 add 1 -77e-7 -> 0.9999923 |
| 459 | addx441 add 1 -77e-8 -> 0.99999923 |
| 460 | addx442 add 1 -77e-9 -> 0.999999923 |
| 461 | addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded |
| 462 | addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded |
| 463 | addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded |
| 464 | addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded |
| 465 | addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded |
| 466 | |
| 467 | addx450 add 10 -77e-7 -> 9.9999923 |
| 468 | addx451 add 10 -77e-8 -> 9.99999923 |
| 469 | addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded |
| 470 | addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded |
| 471 | addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded |
| 472 | addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded |
| 473 | addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded |
| 474 | addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded |
| 475 | |
| 476 | addx460 add -77e-7 1 -> 0.9999923 |
| 477 | addx461 add -77e-8 1 -> 0.99999923 |
| 478 | addx462 add -77e-9 1 -> 0.999999923 |
| 479 | addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded |
| 480 | addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded |
| 481 | addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded |
| 482 | addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded |
| 483 | addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded |
| 484 | |
| 485 | addx470 add -77e-7 10 -> 9.9999923 |
| 486 | addx471 add -77e-8 10 -> 9.99999923 |
| 487 | addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded |
| 488 | addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded |
| 489 | addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded |
| 490 | addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded |
| 491 | addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded |
| 492 | addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded |
| 493 | |
| 494 | -- negative ulps |
| 495 | addx480 add -1 77e-7 -> -0.9999923 |
| 496 | addx481 add -1 77e-8 -> -0.99999923 |
| 497 | addx482 add -1 77e-9 -> -0.999999923 |
| 498 | addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded |
| 499 | addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded |
| 500 | addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded |
| 501 | addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded |
| 502 | addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded |
| 503 | |
| 504 | addx490 add -10 77e-7 -> -9.9999923 |
| 505 | addx491 add -10 77e-8 -> -9.99999923 |
| 506 | addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded |
| 507 | addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded |
| 508 | addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded |
| 509 | addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded |
| 510 | addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded |
| 511 | addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded |
| 512 | |
| 513 | addx500 add 77e-7 -1 -> -0.9999923 |
| 514 | addx501 add 77e-8 -1 -> -0.99999923 |
| 515 | addx502 add 77e-9 -1 -> -0.999999923 |
| 516 | addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded |
| 517 | addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded |
| 518 | addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded |
| 519 | addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded |
| 520 | addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded |
| 521 | |
| 522 | addx510 add 77e-7 -10 -> -9.9999923 |
| 523 | addx511 add 77e-8 -10 -> -9.99999923 |
| 524 | addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded |
| 525 | addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded |
| 526 | addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded |
| 527 | addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded |
| 528 | addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded |
| 529 | addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded |
| 530 | |
| 531 | |
| 532 | -- long operands |
| 533 | maxexponent: 999 |
| 534 | minexponent: -999 |
| 535 | precision: 9 |
| 536 | addx521 add 12345678000 0 -> 1.23456780E+10 Rounded |
| 537 | addx522 add 0 12345678000 -> 1.23456780E+10 Rounded |
| 538 | addx523 add 1234567800 0 -> 1.23456780E+9 Rounded |
| 539 | addx524 add 0 1234567800 -> 1.23456780E+9 Rounded |
| 540 | addx525 add 1234567890 0 -> 1.23456789E+9 Rounded |
| 541 | addx526 add 0 1234567890 -> 1.23456789E+9 Rounded |
| 542 | addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded |
| 543 | addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded |
| 544 | addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded |
| 545 | addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded |
| 546 | addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded |
| 547 | addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded |
| 548 | |
| 549 | precision: 15 |
| 550 | -- still checking |
| 551 | addx541 add 12345678000 0 -> 12345678000 |
| 552 | addx542 add 0 12345678000 -> 12345678000 |
| 553 | addx543 add 1234567800 0 -> 1234567800 |
| 554 | addx544 add 0 1234567800 -> 1234567800 |
| 555 | addx545 add 1234567890 0 -> 1234567890 |
| 556 | addx546 add 0 1234567890 -> 1234567890 |
| 557 | addx547 add 1234567891 0 -> 1234567891 |
| 558 | addx548 add 0 1234567891 -> 1234567891 |
| 559 | addx549 add 12345678901 0 -> 12345678901 |
| 560 | addx550 add 0 12345678901 -> 12345678901 |
| 561 | addx551 add 1234567896 0 -> 1234567896 |
| 562 | addx552 add 0 1234567896 -> 1234567896 |
| 563 | |
| 564 | -- verify a query |
| 565 | precision: 16 |
| 566 | maxExponent: +394 |
| 567 | minExponent: -393 |
| 568 | rounding: down |
| 569 | addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded |
| 570 | addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded |
| 571 | -- and using decimal64 bounds... |
| 572 | precision: 16 |
| 573 | maxExponent: +384 |
| 574 | minExponent: -383 |
| 575 | rounding: down |
| 576 | addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded |
| 577 | addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded |
| 578 | |
| 579 | -- some more residue effects with extreme rounding |
| 580 | precision: 9 |
| 581 | rounding: half_up |
| 582 | addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 583 | rounding: half_even |
| 584 | addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 585 | rounding: half_down |
| 586 | addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 587 | rounding: floor |
| 588 | addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 589 | rounding: ceiling |
| 590 | addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded |
| 591 | rounding: up |
| 592 | addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded |
| 593 | rounding: down |
| 594 | addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded |
| 595 | |
| 596 | rounding: half_up |
| 597 | addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 598 | rounding: half_even |
| 599 | addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 600 | rounding: half_down |
| 601 | addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 602 | rounding: floor |
| 603 | addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded |
| 604 | rounding: ceiling |
| 605 | addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 606 | rounding: up |
| 607 | addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
| 608 | rounding: down |
| 609 | addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded |
| 610 | |
| 611 | rounding: half_up |
| 612 | addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 613 | rounding: half_even |
| 614 | addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 615 | rounding: half_down |
| 616 | addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 617 | rounding: floor |
| 618 | addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 619 | rounding: ceiling |
| 620 | addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded |
| 621 | rounding: up |
| 622 | addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded |
| 623 | rounding: down |
| 624 | addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded |
| 625 | |
| 626 | rounding: half_up |
| 627 | addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 628 | rounding: half_even |
| 629 | addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 630 | rounding: half_down |
| 631 | addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 632 | rounding: floor |
| 633 | addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded |
| 634 | rounding: ceiling |
| 635 | addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 636 | rounding: up |
| 637 | addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded |
| 638 | rounding: down |
| 639 | addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded |
| 640 | |
| 641 | rounding: half_up |
| 642 | addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 643 | rounding: half_even |
| 644 | addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 645 | rounding: half_down |
| 646 | addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 647 | rounding: floor |
| 648 | addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded |
| 649 | rounding: ceiling |
| 650 | addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 651 | rounding: up |
| 652 | addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded |
| 653 | rounding: down |
| 654 | addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded |
| 655 | |
| 656 | rounding: half_up |
| 657 | addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 658 | rounding: half_even |
| 659 | addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 660 | rounding: half_down |
| 661 | addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 662 | rounding: floor |
| 663 | addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 664 | rounding: ceiling |
| 665 | addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded |
| 666 | rounding: up |
| 667 | addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded |
| 668 | rounding: down |
| 669 | addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded |
| 670 | |
| 671 | -- long operand triangle |
| 672 | rounding: half_up |
| 673 | precision: 37 |
| 674 | addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538 |
| 675 | precision: 36 |
| 676 | addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded |
| 677 | precision: 35 |
| 678 | addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded |
| 679 | precision: 34 |
| 680 | addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded |
| 681 | precision: 33 |
| 682 | addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded |
| 683 | precision: 32 |
| 684 | addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded |
| 685 | precision: 31 |
| 686 | addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded |
| 687 | precision: 30 |
| 688 | addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded |
| 689 | precision: 29 |
| 690 | addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded |
| 691 | precision: 28 |
| 692 | addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded |
| 693 | precision: 27 |
| 694 | addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded |
| 695 | precision: 26 |
| 696 | addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded |
| 697 | precision: 25 |
| 698 | addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded |
| 699 | precision: 24 |
| 700 | addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded |
| 701 | precision: 23 |
| 702 | addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded |
| 703 | precision: 22 |
| 704 | addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded |
| 705 | precision: 21 |
| 706 | addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded |
| 707 | precision: 20 |
| 708 | addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded |
| 709 | precision: 19 |
| 710 | addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded |
| 711 | precision: 18 |
| 712 | addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded |
| 713 | precision: 17 |
| 714 | addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded |
| 715 | precision: 16 |
| 716 | addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded |
| 717 | precision: 15 |
| 718 | addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded |
| 719 | precision: 14 |
| 720 | addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded |
| 721 | precision: 13 |
| 722 | addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded |
| 723 | precision: 12 |
| 724 | addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded |
| 725 | precision: 11 |
| 726 | addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded |
| 727 | precision: 10 |
| 728 | addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded |
| 729 | precision: 9 |
| 730 | addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded |
| 731 | precision: 8 |
| 732 | addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded |
| 733 | precision: 7 |
| 734 | addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded |
| 735 | precision: 6 |
| 736 | addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded |
| 737 | precision: 5 |
| 738 | addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded |
| 739 | precision: 4 |
| 740 | addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded |
| 741 | precision: 3 |
| 742 | addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded |
| 743 | precision: 2 |
| 744 | addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded |
| 745 | precision: 1 |
| 746 | addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded |
| 747 | |
| 748 | -- more zeros, etc. |
| 749 | rounding: half_up |
| 750 | precision: 9 |
| 751 | |
| 752 | addx701 add 5.00 1.00E-3 -> 5.00100 |
| 753 | addx702 add 00.00 0.000 -> 0.000 |
| 754 | addx703 add 00.00 0E-3 -> 0.000 |
| 755 | addx704 add 0E-3 00.00 -> 0.000 |
| 756 | |
| 757 | addx710 add 0E+3 00.00 -> 0.00 |
| 758 | addx711 add 0E+3 00.0 -> 0.0 |
| 759 | addx712 add 0E+3 00. -> 0 |
| 760 | addx713 add 0E+3 00.E+1 -> 0E+1 |
| 761 | addx714 add 0E+3 00.E+2 -> 0E+2 |
| 762 | addx715 add 0E+3 00.E+3 -> 0E+3 |
| 763 | addx716 add 0E+3 00.E+4 -> 0E+3 |
| 764 | addx717 add 0E+3 00.E+5 -> 0E+3 |
| 765 | addx718 add 0E+3 -00.0 -> 0.0 |
| 766 | addx719 add 0E+3 -00. -> 0 |
| 767 | addx731 add 0E+3 -00.E+1 -> 0E+1 |
| 768 | |
| 769 | addx720 add 00.00 0E+3 -> 0.00 |
| 770 | addx721 add 00.0 0E+3 -> 0.0 |
| 771 | addx722 add 00. 0E+3 -> 0 |
| 772 | addx723 add 00.E+1 0E+3 -> 0E+1 |
| 773 | addx724 add 00.E+2 0E+3 -> 0E+2 |
| 774 | addx725 add 00.E+3 0E+3 -> 0E+3 |
| 775 | addx726 add 00.E+4 0E+3 -> 0E+3 |
| 776 | addx727 add 00.E+5 0E+3 -> 0E+3 |
| 777 | addx728 add -00.00 0E+3 -> 0.00 |
| 778 | addx729 add -00.0 0E+3 -> 0.0 |
| 779 | addx730 add -00. 0E+3 -> 0 |
| 780 | |
| 781 | addx732 add 0 0 -> 0 |
| 782 | addx733 add 0 -0 -> 0 |
| 783 | addx734 add -0 0 -> 0 |
| 784 | addx735 add -0 -0 -> -0 -- IEEE 854 special case |
| 785 | |
| 786 | addx736 add 1 -1 -> 0 |
| 787 | addx737 add -1 -1 -> -2 |
| 788 | addx738 add 1 1 -> 2 |
| 789 | addx739 add -1 1 -> 0 |
| 790 | |
| 791 | addx741 add 0 -1 -> -1 |
| 792 | addx742 add -0 -1 -> -1 |
| 793 | addx743 add 0 1 -> 1 |
| 794 | addx744 add -0 1 -> 1 |
| 795 | addx745 add -1 0 -> -1 |
| 796 | addx746 add -1 -0 -> -1 |
| 797 | addx747 add 1 0 -> 1 |
| 798 | addx748 add 1 -0 -> 1 |
| 799 | |
| 800 | addx751 add 0.0 -1 -> -1.0 |
| 801 | addx752 add -0.0 -1 -> -1.0 |
| 802 | addx753 add 0.0 1 -> 1.0 |
| 803 | addx754 add -0.0 1 -> 1.0 |
| 804 | addx755 add -1.0 0 -> -1.0 |
| 805 | addx756 add -1.0 -0 -> -1.0 |
| 806 | addx757 add 1.0 0 -> 1.0 |
| 807 | addx758 add 1.0 -0 -> 1.0 |
| 808 | |
| 809 | addx761 add 0 -1.0 -> -1.0 |
| 810 | addx762 add -0 -1.0 -> -1.0 |
| 811 | addx763 add 0 1.0 -> 1.0 |
| 812 | addx764 add -0 1.0 -> 1.0 |
| 813 | addx765 add -1 0.0 -> -1.0 |
| 814 | addx766 add -1 -0.0 -> -1.0 |
| 815 | addx767 add 1 0.0 -> 1.0 |
| 816 | addx768 add 1 -0.0 -> 1.0 |
| 817 | |
| 818 | addx771 add 0.0 -1.0 -> -1.0 |
| 819 | addx772 add -0.0 -1.0 -> -1.0 |
| 820 | addx773 add 0.0 1.0 -> 1.0 |
| 821 | addx774 add -0.0 1.0 -> 1.0 |
| 822 | addx775 add -1.0 0.0 -> -1.0 |
| 823 | addx776 add -1.0 -0.0 -> -1.0 |
| 824 | addx777 add 1.0 0.0 -> 1.0 |
| 825 | addx778 add 1.0 -0.0 -> 1.0 |
| 826 | |
| 827 | -- Specials |
| 828 | addx780 add -Inf -Inf -> -Infinity |
| 829 | addx781 add -Inf -1000 -> -Infinity |
| 830 | addx782 add -Inf -1 -> -Infinity |
| 831 | addx783 add -Inf -0 -> -Infinity |
| 832 | addx784 add -Inf 0 -> -Infinity |
| 833 | addx785 add -Inf 1 -> -Infinity |
| 834 | addx786 add -Inf 1000 -> -Infinity |
| 835 | addx787 add -1000 -Inf -> -Infinity |
| 836 | addx788 add -Inf -Inf -> -Infinity |
| 837 | addx789 add -1 -Inf -> -Infinity |
| 838 | addx790 add -0 -Inf -> -Infinity |
| 839 | addx791 add 0 -Inf -> -Infinity |
| 840 | addx792 add 1 -Inf -> -Infinity |
| 841 | addx793 add 1000 -Inf -> -Infinity |
| 842 | addx794 add Inf -Inf -> NaN Invalid_operation |
| 843 | |
| 844 | addx800 add Inf -Inf -> NaN Invalid_operation |
| 845 | addx801 add Inf -1000 -> Infinity |
| 846 | addx802 add Inf -1 -> Infinity |
| 847 | addx803 add Inf -0 -> Infinity |
| 848 | addx804 add Inf 0 -> Infinity |
| 849 | addx805 add Inf 1 -> Infinity |
| 850 | addx806 add Inf 1000 -> Infinity |
| 851 | addx807 add Inf Inf -> Infinity |
| 852 | addx808 add -1000 Inf -> Infinity |
| 853 | addx809 add -Inf Inf -> NaN Invalid_operation |
| 854 | addx810 add -1 Inf -> Infinity |
| 855 | addx811 add -0 Inf -> Infinity |
| 856 | addx812 add 0 Inf -> Infinity |
| 857 | addx813 add 1 Inf -> Infinity |
| 858 | addx814 add 1000 Inf -> Infinity |
| 859 | addx815 add Inf Inf -> Infinity |
| 860 | |
| 861 | addx821 add NaN -Inf -> NaN |
| 862 | addx822 add NaN -1000 -> NaN |
| 863 | addx823 add NaN -1 -> NaN |
| 864 | addx824 add NaN -0 -> NaN |
| 865 | addx825 add NaN 0 -> NaN |
| 866 | addx826 add NaN 1 -> NaN |
| 867 | addx827 add NaN 1000 -> NaN |
| 868 | addx828 add NaN Inf -> NaN |
| 869 | addx829 add NaN NaN -> NaN |
| 870 | addx830 add -Inf NaN -> NaN |
| 871 | addx831 add -1000 NaN -> NaN |
| 872 | addx832 add -1 NaN -> NaN |
| 873 | addx833 add -0 NaN -> NaN |
| 874 | addx834 add 0 NaN -> NaN |
| 875 | addx835 add 1 NaN -> NaN |
| 876 | addx836 add 1000 NaN -> NaN |
| 877 | addx837 add Inf NaN -> NaN |
| 878 | |
| 879 | addx841 add sNaN -Inf -> NaN Invalid_operation |
| 880 | addx842 add sNaN -1000 -> NaN Invalid_operation |
| 881 | addx843 add sNaN -1 -> NaN Invalid_operation |
| 882 | addx844 add sNaN -0 -> NaN Invalid_operation |
| 883 | addx845 add sNaN 0 -> NaN Invalid_operation |
| 884 | addx846 add sNaN 1 -> NaN Invalid_operation |
| 885 | addx847 add sNaN 1000 -> NaN Invalid_operation |
| 886 | addx848 add sNaN NaN -> NaN Invalid_operation |
| 887 | addx849 add sNaN sNaN -> NaN Invalid_operation |
| 888 | addx850 add NaN sNaN -> NaN Invalid_operation |
| 889 | addx851 add -Inf sNaN -> NaN Invalid_operation |
| 890 | addx852 add -1000 sNaN -> NaN Invalid_operation |
| 891 | addx853 add -1 sNaN -> NaN Invalid_operation |
| 892 | addx854 add -0 sNaN -> NaN Invalid_operation |
| 893 | addx855 add 0 sNaN -> NaN Invalid_operation |
| 894 | addx856 add 1 sNaN -> NaN Invalid_operation |
| 895 | addx857 add 1000 sNaN -> NaN Invalid_operation |
| 896 | addx858 add Inf sNaN -> NaN Invalid_operation |
| 897 | addx859 add NaN sNaN -> NaN Invalid_operation |
| 898 | |
| 899 | -- propagating NaNs |
| 900 | addx861 add NaN1 -Inf -> NaN1 |
| 901 | addx862 add +NaN2 -1000 -> NaN2 |
| 902 | addx863 add NaN3 1000 -> NaN3 |
| 903 | addx864 add NaN4 Inf -> NaN4 |
| 904 | addx865 add NaN5 +NaN6 -> NaN5 |
| 905 | addx866 add -Inf NaN7 -> NaN7 |
| 906 | addx867 add -1000 NaN8 -> NaN8 |
| 907 | addx868 add 1000 NaN9 -> NaN9 |
| 908 | addx869 add Inf +NaN10 -> NaN10 |
| 909 | addx871 add sNaN11 -Inf -> NaN11 Invalid_operation |
| 910 | addx872 add sNaN12 -1000 -> NaN12 Invalid_operation |
| 911 | addx873 add sNaN13 1000 -> NaN13 Invalid_operation |
| 912 | addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation |
| 913 | addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation |
| 914 | addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation |
| 915 | addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation |
| 916 | addx878 add -1000 sNaN21 -> NaN21 Invalid_operation |
| 917 | addx879 add 1000 sNaN22 -> NaN22 Invalid_operation |
| 918 | addx880 add Inf sNaN23 -> NaN23 Invalid_operation |
| 919 | addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation |
| 920 | addx882 add -NaN26 NaN28 -> -NaN26 |
| 921 | addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation |
| 922 | addx884 add 1000 -NaN30 -> -NaN30 |
| 923 | addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation |
| 924 | |
| 925 | -- overflow, underflow and subnormal tests |
| 926 | maxexponent: 999999999 |
| 927 | minexponent: -999999999 |
| 928 | precision: 9 |
| 929 | addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded |
| 930 | addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded |
| 931 | addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal |
| 932 | addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal |
| 933 | addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal |
| 934 | addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal |
| 935 | addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded |
| 936 | addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded |
| 937 | addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal |
| 938 | addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal |
| 939 | addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal |
| 940 | addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal |
| 941 | addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999 |
| 942 | addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999 |
| 943 | |
| 944 | precision: 3 |
| 945 | addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded |
| 946 | addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded |
| 947 | addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded |
| 948 | addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded |
| 949 | |
| 950 | precision: 3 |
| 951 | maxexponent: 999 |
| 952 | minexponent: -999 |
| 953 | addx910 add 1.00E-999 0 -> 1.00E-999 |
| 954 | addx911 add 0.1E-999 0 -> 1E-1000 Subnormal |
| 955 | addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal |
| 956 | addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded |
| 957 | addx914 add 0.01E-999 0 -> 1E-1001 Subnormal |
| 958 | -- next is rounded to Emin |
| 959 | addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow |
| 960 | addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
| 961 | addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow |
| 962 | addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow |
| 963 | addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow |
| 964 | addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow |
| 965 | |
| 966 | addx930 add -1.00E-999 0 -> -1.00E-999 |
| 967 | addx931 add -0.1E-999 0 -> -1E-1000 Subnormal |
| 968 | addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal |
| 969 | addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded |
| 970 | addx934 add -0.01E-999 0 -> -1E-1001 Subnormal |
| 971 | -- next is rounded to Emin |
| 972 | addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow |
| 973 | addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow |
| 974 | addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow |
| 975 | addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow |
| 976 | addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow |
| 977 | addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow |
| 978 | |
| 979 | -- some non-zero subnormal adds |
| 980 | addx950 add 1.00E-999 0.1E-999 -> 1.10E-999 |
| 981 | addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal |
| 982 | addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal |
| 983 | addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded |
| 984 | addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal |
| 985 | addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded |
| 986 | addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow |
| 987 | addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow |
| 988 | addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
| 989 | addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
| 990 | addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
| 991 | -- negatives... |
| 992 | addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal |
| 993 | addx962 add 0.1E-999 -0.1E-999 -> 0E-1000 |
| 994 | addx963 add 0.10E-999 -0.1E-999 -> 0E-1001 |
| 995 | addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped |
| 996 | addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal |
| 997 | addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow |
| 998 | addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow |
| 999 | addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow |
| 1000 | addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow |
| 1001 | addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow |
| 1002 | addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow |
| 1003 | |
| 1004 | -- check overflow edge case |
| 1005 | precision: 7 |
| 1006 | rounding: half_up |
| 1007 | maxExponent: 96 |
| 1008 | minExponent: -95 |
| 1009 | addx972 apply 9.999999E+96 -> 9.999999E+96 |
| 1010 | addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded |
| 1011 | addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded |
| 1012 | addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded |
| 1013 | addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded |
| 1014 | addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded |
| 1015 | addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded |
| 1016 | addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded |
| 1017 | addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded |
| 1018 | addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded |
| 1019 | addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded |
| 1020 | addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded |
| 1021 | addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded |
| 1022 | |
| 1023 | addx985 apply -9.999999E+96 -> -9.999999E+96 |
| 1024 | addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded |
| 1025 | addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded |
| 1026 | addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded |
| 1027 | addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded |
| 1028 | addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded |
| 1029 | addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded |
| 1030 | addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded |
| 1031 | addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded |
| 1032 | addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded |
| 1033 | addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded |
| 1034 | addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded |
| 1035 | addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded |
| 1036 | |
| 1037 | -- check for double-rounded subnormals |
| 1038 | precision: 5 |
| 1039 | maxexponent: 79 |
| 1040 | minexponent: -79 |
| 1041 | -- Add: lhs and rhs 0 |
| 1042 | addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1043 | addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1044 | addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1045 | addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1046 | addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1047 | addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1048 | |
| 1049 | -- Add: lhs >> rhs and vice versa |
| 1050 | addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1051 | addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1052 | addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1053 | addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1054 | addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1055 | addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow |
| 1056 | |
| 1057 | -- Add: lhs + rhs addition carried out |
| 1058 | addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1059 | addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1060 | addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1061 | addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1062 | addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1063 | addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow |
| 1064 | |
| 1065 | -- And for round down full and subnormal results |
| 1066 | precision: 16 |
| 1067 | maxExponent: +384 |
| 1068 | minExponent: -383 |
| 1069 | rounding: down |
| 1070 | |
| 1071 | addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact |
| 1072 | addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact |
| 1073 | addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact |
| 1074 | addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact |
| 1075 | addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact |
| 1076 | addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact |
| 1077 | addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact |
| 1078 | addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact |
| 1079 | addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact |
| 1080 | |
| 1081 | rounding: ceiling |
| 1082 | addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact |
| 1083 | addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact |
| 1084 | addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact |
| 1085 | addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact |
| 1086 | addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact |
| 1087 | addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact |
| 1088 | addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact |
| 1089 | addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact |
| 1090 | addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact |
| 1091 | |
| 1092 | rounding: down |
| 1093 | precision: 7 |
| 1094 | maxExponent: +96 |
| 1095 | minExponent: -95 |
| 1096 | addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact |
| 1097 | -- subnormal boundary |
| 1098 | addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact |
| 1099 | addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact |
| 1100 | addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow |
| 1101 | addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow |
| 1102 | addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow |
| 1103 | addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow |
| 1104 | addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal |
| 1105 | addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow |
| 1106 | addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow |
| 1107 | addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow |
| 1108 | addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow |
| 1109 | addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow |
| 1110 | addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow |
| 1111 | addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow |
| 1112 | |
| 1113 | addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow |
| 1114 | addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow |
| 1115 | addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow |
| 1116 | addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow |
| 1117 | addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow |
| 1118 | addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow |
| 1119 | addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow |
| 1120 | |
| 1121 | addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow |
| 1122 | addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow |
| 1123 | |
| 1124 | |
| 1125 | -- Null tests |
| 1126 | addx9990 add 10 # -> NaN Invalid_operation |
| 1127 | addx9991 add # 10 -> NaN Invalid_operation |