| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1 | ------------------------------------------------------------------------ |
| 2 | -- remainderNear.decTest -- decimal remainder-near (IEEE remainder) -- |
| Benjamin Peterson | f17ff4e | 2008-07-31 16:32:12 +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 | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 20 | version: 2.59 |
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 21 | |
| 22 | extended: 1 |
| 23 | precision: 9 |
| 24 | rounding: half_up |
| 25 | maxExponent: 384 |
| 26 | minexponent: -383 |
| 27 | |
| 28 | rmnx001 remaindernear 1 1 -> 0 |
| 29 | rmnx002 remaindernear 2 1 -> 0 |
| 30 | rmnx003 remaindernear 1 2 -> 1 |
| 31 | rmnx004 remaindernear 2 2 -> 0 |
| 32 | rmnx005 remaindernear 0 1 -> 0 |
| 33 | rmnx006 remaindernear 0 2 -> 0 |
| 34 | rmnx007 remaindernear 1 3 -> 1 |
| 35 | rmnx008 remaindernear 2 3 -> -1 |
| 36 | rmnx009 remaindernear 3 3 -> 0 |
| 37 | |
| 38 | rmnx010 remaindernear 2.4 1 -> 0.4 |
| 39 | rmnx011 remaindernear 2.4 -1 -> 0.4 |
| 40 | rmnx012 remaindernear -2.4 1 -> -0.4 |
| 41 | rmnx013 remaindernear -2.4 -1 -> -0.4 |
| 42 | rmnx014 remaindernear 2.40 1 -> 0.40 |
| 43 | rmnx015 remaindernear 2.400 1 -> 0.400 |
| 44 | rmnx016 remaindernear 2.4 2 -> 0.4 |
| 45 | rmnx017 remaindernear 2.400 2 -> 0.400 |
| 46 | rmnx018 remaindernear 2. 2 -> 0 |
| 47 | rmnx019 remaindernear 20 20 -> 0 |
| 48 | |
| 49 | rmnx020 remaindernear 187 187 -> 0 |
| 50 | rmnx021 remaindernear 5 2 -> 1 |
| 51 | rmnx022 remaindernear 5 2.0 -> 1.0 |
| 52 | rmnx023 remaindernear 5 2.000 -> 1.000 |
| 53 | rmnx024 remaindernear 5 0.200 -> 0.000 |
| 54 | rmnx025 remaindernear 5 0.200 -> 0.000 |
| 55 | |
| 56 | rmnx030 remaindernear 1 2 -> 1 |
| 57 | rmnx031 remaindernear 1 4 -> 1 |
| 58 | rmnx032 remaindernear 1 8 -> 1 |
| 59 | rmnx033 remaindernear 1 16 -> 1 |
| 60 | rmnx034 remaindernear 1 32 -> 1 |
| 61 | rmnx035 remaindernear 1 64 -> 1 |
| 62 | rmnx040 remaindernear 1 -2 -> 1 |
| 63 | rmnx041 remaindernear 1 -4 -> 1 |
| 64 | rmnx042 remaindernear 1 -8 -> 1 |
| 65 | rmnx043 remaindernear 1 -16 -> 1 |
| 66 | rmnx044 remaindernear 1 -32 -> 1 |
| 67 | rmnx045 remaindernear 1 -64 -> 1 |
| 68 | rmnx050 remaindernear -1 2 -> -1 |
| 69 | rmnx051 remaindernear -1 4 -> -1 |
| 70 | rmnx052 remaindernear -1 8 -> -1 |
| 71 | rmnx053 remaindernear -1 16 -> -1 |
| 72 | rmnx054 remaindernear -1 32 -> -1 |
| 73 | rmnx055 remaindernear -1 64 -> -1 |
| 74 | rmnx060 remaindernear -1 -2 -> -1 |
| 75 | rmnx061 remaindernear -1 -4 -> -1 |
| 76 | rmnx062 remaindernear -1 -8 -> -1 |
| 77 | rmnx063 remaindernear -1 -16 -> -1 |
| 78 | rmnx064 remaindernear -1 -32 -> -1 |
| 79 | rmnx065 remaindernear -1 -64 -> -1 |
| 80 | |
| 81 | rmnx066 remaindernear 999999997 1 -> 0 |
| 82 | rmnx067 remaindernear 999999997.4 1 -> 0.4 |
| 83 | rmnx068 remaindernear 999999997.5 1 -> -0.5 |
| 84 | rmnx069 remaindernear 999999997.9 1 -> -0.1 |
| 85 | rmnx070 remaindernear 999999997.999 1 -> -0.001 |
| 86 | |
| 87 | rmnx071 remaindernear 999999998 1 -> 0 |
| 88 | rmnx072 remaindernear 999999998.4 1 -> 0.4 |
| 89 | rmnx073 remaindernear 999999998.5 1 -> 0.5 |
| 90 | rmnx074 remaindernear 999999998.9 1 -> -0.1 |
| 91 | rmnx075 remaindernear 999999998.999 1 -> -0.001 |
| 92 | |
| 93 | rmnx076 remaindernear 999999999 1 -> 0 |
| 94 | rmnx077 remaindernear 999999999.4 1 -> 0.4 |
| 95 | rmnx078 remaindernear 999999999.5 1 -> NaN Division_impossible |
| 96 | rmnx079 remaindernear 999999999.9 1 -> NaN Division_impossible |
| 97 | rmnx080 remaindernear 999999999.999 1 -> NaN Division_impossible |
| 98 | |
| 99 | precision: 6 |
| 100 | rmnx081 remaindernear 999999999 1 -> NaN Division_impossible |
| 101 | rmnx082 remaindernear 99999999 1 -> NaN Division_impossible |
| 102 | rmnx083 remaindernear 9999999 1 -> NaN Division_impossible |
| 103 | rmnx084 remaindernear 999999 1 -> 0 |
| 104 | rmnx085 remaindernear 99999 1 -> 0 |
| 105 | rmnx086 remaindernear 9999 1 -> 0 |
| 106 | rmnx087 remaindernear 999 1 -> 0 |
| 107 | rmnx088 remaindernear 99 1 -> 0 |
| 108 | rmnx089 remaindernear 9 1 -> 0 |
| 109 | |
| 110 | precision: 9 |
| 111 | rmnx090 remaindernear 0. 1 -> 0 |
| 112 | rmnx091 remaindernear .0 1 -> 0.0 |
| 113 | rmnx092 remaindernear 0.00 1 -> 0.00 |
| 114 | rmnx093 remaindernear 0.00E+9 1 -> 0 |
| 115 | rmnx094 remaindernear 0.0000E-50 1 -> 0E-54 |
| 116 | |
| 117 | |
| 118 | -- Various flavours of remaindernear by 0 |
| 119 | precision: 9 |
| 120 | maxexponent: 999999999 |
| 121 | minexponent: -999999999 |
| 122 | rmnx101 remaindernear 0 0 -> NaN Division_undefined |
| 123 | rmnx102 remaindernear 0 -0 -> NaN Division_undefined |
| 124 | rmnx103 remaindernear -0 0 -> NaN Division_undefined |
| 125 | rmnx104 remaindernear -0 -0 -> NaN Division_undefined |
| 126 | rmnx105 remaindernear 0.0E5 0 -> NaN Division_undefined |
| 127 | rmnx106 remaindernear 0.000 0 -> NaN Division_undefined |
| 128 | -- [Some think this next group should be Division_by_zero exception, |
| 129 | -- but IEEE 854 is explicit that it is Invalid operation .. for |
| 130 | -- remaindernear-near, anyway] |
| 131 | rmnx107 remaindernear 0.0001 0 -> NaN Invalid_operation |
| 132 | rmnx108 remaindernear 0.01 0 -> NaN Invalid_operation |
| 133 | rmnx109 remaindernear 0.1 0 -> NaN Invalid_operation |
| 134 | rmnx110 remaindernear 1 0 -> NaN Invalid_operation |
| 135 | rmnx111 remaindernear 1 0.0 -> NaN Invalid_operation |
| 136 | rmnx112 remaindernear 10 0.0 -> NaN Invalid_operation |
| 137 | rmnx113 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
| 138 | rmnx114 remaindernear 1E+1000 0 -> NaN Invalid_operation |
| 139 | rmnx115 remaindernear 0.0001 -0 -> NaN Invalid_operation |
| 140 | rmnx116 remaindernear 0.01 -0 -> NaN Invalid_operation |
| 141 | rmnx119 remaindernear 0.1 -0 -> NaN Invalid_operation |
| 142 | rmnx120 remaindernear 1 -0 -> NaN Invalid_operation |
| 143 | rmnx121 remaindernear 1 -0.0 -> NaN Invalid_operation |
| 144 | rmnx122 remaindernear 10 -0.0 -> NaN Invalid_operation |
| 145 | rmnx123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation |
| 146 | rmnx124 remaindernear 1E+1000 -0 -> NaN Invalid_operation |
| 147 | -- and zeros on left |
| 148 | rmnx130 remaindernear 0 1 -> 0 |
| 149 | rmnx131 remaindernear 0 -1 -> 0 |
| 150 | rmnx132 remaindernear 0.0 1 -> 0.0 |
| 151 | rmnx133 remaindernear 0.0 -1 -> 0.0 |
| 152 | rmnx134 remaindernear -0 1 -> -0 |
| 153 | rmnx135 remaindernear -0 -1 -> -0 |
| 154 | rmnx136 remaindernear -0.0 1 -> -0.0 |
| 155 | rmnx137 remaindernear -0.0 -1 -> -0.0 |
| 156 | |
| 157 | -- 0.5ers |
| 158 | rmmx143 remaindernear 0.5 2 -> 0.5 |
| 159 | rmmx144 remaindernear 0.5 2.1 -> 0.5 |
| 160 | rmmx145 remaindernear 0.5 2.01 -> 0.50 |
| 161 | rmmx146 remaindernear 0.5 2.001 -> 0.500 |
| 162 | rmmx147 remaindernear 0.50 2 -> 0.50 |
| 163 | rmmx148 remaindernear 0.50 2.01 -> 0.50 |
| 164 | rmmx149 remaindernear 0.50 2.001 -> 0.500 |
| 165 | |
| 166 | -- some differences from remainder |
| 167 | rmnx150 remaindernear 0.4 1.020 -> 0.400 |
| 168 | rmnx151 remaindernear 0.50 1.020 -> 0.500 |
| 169 | rmnx152 remaindernear 0.51 1.020 -> 0.510 |
| 170 | rmnx153 remaindernear 0.52 1.020 -> -0.500 |
| 171 | rmnx154 remaindernear 0.6 1.020 -> -0.420 |
| 172 | rmnx155 remaindernear 0.49 1 -> 0.49 |
| 173 | rmnx156 remaindernear 0.50 1 -> 0.50 |
| 174 | rmnx157 remaindernear 1.50 1 -> -0.50 |
| 175 | rmnx158 remaindernear 2.50 1 -> 0.50 |
| 176 | rmnx159 remaindernear 9.50 1 -> -0.50 |
| 177 | rmnx160 remaindernear 0.51 1 -> -0.49 |
| 178 | |
| 179 | -- the nasty division-by-1 cases |
| 180 | rmnx161 remaindernear 0.4 1 -> 0.4 |
| 181 | rmnx162 remaindernear 0.45 1 -> 0.45 |
| 182 | rmnx163 remaindernear 0.455 1 -> 0.455 |
| 183 | rmnx164 remaindernear 0.4555 1 -> 0.4555 |
| 184 | rmnx165 remaindernear 0.45555 1 -> 0.45555 |
| 185 | rmnx166 remaindernear 0.455555 1 -> 0.455555 |
| 186 | rmnx167 remaindernear 0.4555555 1 -> 0.4555555 |
| 187 | rmnx168 remaindernear 0.45555555 1 -> 0.45555555 |
| 188 | rmnx169 remaindernear 0.455555555 1 -> 0.455555555 |
| 189 | -- with spill... |
| 190 | rmnx171 remaindernear 0.5 1 -> 0.5 |
| 191 | rmnx172 remaindernear 0.55 1 -> -0.45 |
| 192 | rmnx173 remaindernear 0.555 1 -> -0.445 |
| 193 | rmnx174 remaindernear 0.5555 1 -> -0.4445 |
| 194 | rmnx175 remaindernear 0.55555 1 -> -0.44445 |
| 195 | rmnx176 remaindernear 0.555555 1 -> -0.444445 |
| 196 | rmnx177 remaindernear 0.5555555 1 -> -0.4444445 |
| 197 | rmnx178 remaindernear 0.55555555 1 -> -0.44444445 |
| 198 | rmnx179 remaindernear 0.555555555 1 -> -0.444444445 |
| 199 | |
| 200 | -- progression |
| 201 | rmnx180 remaindernear 1 1 -> 0 |
| 202 | rmnx181 remaindernear 1 2 -> 1 |
| 203 | rmnx182 remaindernear 1 3 -> 1 |
| 204 | rmnx183 remaindernear 1 4 -> 1 |
| 205 | rmnx184 remaindernear 1 5 -> 1 |
| 206 | rmnx185 remaindernear 1 6 -> 1 |
| 207 | rmnx186 remaindernear 1 7 -> 1 |
| 208 | rmnx187 remaindernear 1 8 -> 1 |
| 209 | rmnx188 remaindernear 1 9 -> 1 |
| 210 | rmnx189 remaindernear 1 10 -> 1 |
| 211 | rmnx190 remaindernear 1 1 -> 0 |
| 212 | rmnx191 remaindernear 2 1 -> 0 |
| 213 | rmnx192 remaindernear 3 1 -> 0 |
| 214 | rmnx193 remaindernear 4 1 -> 0 |
| 215 | rmnx194 remaindernear 5 1 -> 0 |
| 216 | rmnx195 remaindernear 6 1 -> 0 |
| 217 | rmnx196 remaindernear 7 1 -> 0 |
| 218 | rmnx197 remaindernear 8 1 -> 0 |
| 219 | rmnx198 remaindernear 9 1 -> 0 |
| 220 | rmnx199 remaindernear 10 1 -> 0 |
| 221 | |
| 222 | |
| 223 | -- Various flavours of remaindernear by 0 |
| 224 | maxexponent: 999999999 |
| 225 | minexponent: -999999999 |
| 226 | rmnx201 remaindernear 0 0 -> NaN Division_undefined |
| 227 | rmnx202 remaindernear 0.0E5 0 -> NaN Division_undefined |
| 228 | rmnx203 remaindernear 0.000 0 -> NaN Division_undefined |
| 229 | rmnx204 remaindernear 0.0001 0 -> NaN Invalid_operation |
| 230 | rmnx205 remaindernear 0.01 0 -> NaN Invalid_operation |
| 231 | rmnx206 remaindernear 0.1 0 -> NaN Invalid_operation |
| 232 | rmnx207 remaindernear 1 0 -> NaN Invalid_operation |
| 233 | rmnx208 remaindernear 1 0.0 -> NaN Invalid_operation |
| 234 | rmnx209 remaindernear 10 0.0 -> NaN Invalid_operation |
| 235 | rmnx210 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
| 236 | rmnx211 remaindernear 1E+1000 0 -> NaN Invalid_operation |
| 237 | |
| 238 | -- tests from the extended specification |
| 239 | rmnx221 remaindernear 2.1 3 -> -0.9 |
| 240 | rmnx222 remaindernear 10 6 -> -2 |
| 241 | rmnx223 remaindernear 10 3 -> 1 |
| 242 | rmnx224 remaindernear -10 3 -> -1 |
| 243 | rmnx225 remaindernear 10.2 1 -> 0.2 |
| 244 | rmnx226 remaindernear 10 0.3 -> 0.1 |
| 245 | rmnx227 remaindernear 3.6 1.3 -> -0.3 |
| 246 | |
| 247 | -- some differences from remainder |
| 248 | rmnx231 remaindernear 0.4 1.020 -> 0.400 |
| 249 | rmnx232 remaindernear 0.50 1.020 -> 0.500 |
| 250 | rmnx233 remaindernear 0.51 1.020 -> 0.510 |
| 251 | rmnx234 remaindernear 0.52 1.020 -> -0.500 |
| 252 | rmnx235 remaindernear 0.6 1.020 -> -0.420 |
| 253 | |
| 254 | -- test some cases that are close to exponent overflow |
| 255 | maxexponent: 999999999 |
| 256 | minexponent: -999999999 |
| 257 | rmnx270 remaindernear 1 1e999999999 -> 1 |
| 258 | rmnx271 remaindernear 1 0.9e999999999 -> 1 |
| 259 | rmnx272 remaindernear 1 0.99e999999999 -> 1 |
| 260 | rmnx273 remaindernear 1 0.999999999e999999999 -> 1 |
| 261 | rmnx274 remaindernear 9e999999999 1 -> NaN Division_impossible |
| 262 | rmnx275 remaindernear 9.9e999999999 1 -> NaN Division_impossible |
| 263 | rmnx276 remaindernear 9.99e999999999 1 -> NaN Division_impossible |
| 264 | rmnx277 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible |
| 265 | |
| 266 | rmnx280 remaindernear 0.1 9e-999999999 -> NaN Division_impossible |
| 267 | rmnx281 remaindernear 0.1 99e-999999999 -> NaN Division_impossible |
| 268 | rmnx282 remaindernear 0.1 999e-999999999 -> NaN Division_impossible |
| 269 | |
| 270 | rmnx283 remaindernear 0.1 9e-999999998 -> NaN Division_impossible |
| 271 | rmnx284 remaindernear 0.1 99e-999999998 -> NaN Division_impossible |
| 272 | rmnx285 remaindernear 0.1 999e-999999998 -> NaN Division_impossible |
| 273 | rmnx286 remaindernear 0.1 999e-999999997 -> NaN Division_impossible |
| 274 | rmnx287 remaindernear 0.1 9999e-999999997 -> NaN Division_impossible |
| 275 | rmnx288 remaindernear 0.1 99999e-999999997 -> NaN Division_impossible |
| 276 | |
| 277 | -- rmnx3xx are from DiagBigDecimal |
| 278 | rmnx301 remaindernear 1 3 -> 1 |
| 279 | rmnx302 remaindernear 5 5 -> 0 |
| 280 | rmnx303 remaindernear 13 10 -> 3 |
| 281 | rmnx304 remaindernear 13 50 -> 13 |
| 282 | rmnx305 remaindernear 13 100 -> 13 |
| 283 | rmnx306 remaindernear 13 1000 -> 13 |
| 284 | rmnx307 remaindernear .13 1 -> 0.13 |
| 285 | rmnx308 remaindernear 0.133 1 -> 0.133 |
| 286 | rmnx309 remaindernear 0.1033 1 -> 0.1033 |
| 287 | rmnx310 remaindernear 1.033 1 -> 0.033 |
| 288 | rmnx311 remaindernear 10.33 1 -> 0.33 |
| 289 | rmnx312 remaindernear 10.33 10 -> 0.33 |
| 290 | rmnx313 remaindernear 103.3 1 -> 0.3 |
| 291 | rmnx314 remaindernear 133 10 -> 3 |
| 292 | rmnx315 remaindernear 1033 10 -> 3 |
| 293 | rmnx316 remaindernear 1033 50 -> -17 |
| 294 | rmnx317 remaindernear 101.0 3 -> -1.0 |
| 295 | rmnx318 remaindernear 102.0 3 -> 0.0 |
| 296 | rmnx319 remaindernear 103.0 3 -> 1.0 |
| 297 | rmnx320 remaindernear 2.40 1 -> 0.40 |
| 298 | rmnx321 remaindernear 2.400 1 -> 0.400 |
| 299 | rmnx322 remaindernear 2.4 1 -> 0.4 |
| 300 | rmnx323 remaindernear 2.4 2 -> 0.4 |
| 301 | rmnx324 remaindernear 2.400 2 -> 0.400 |
| 302 | rmnx325 remaindernear 1 0.3 -> 0.1 |
| 303 | rmnx326 remaindernear 1 0.30 -> 0.10 |
| 304 | rmnx327 remaindernear 1 0.300 -> 0.100 |
| 305 | rmnx328 remaindernear 1 0.3000 -> 0.1000 |
| 306 | rmnx329 remaindernear 1.0 0.3 -> 0.1 |
| 307 | rmnx330 remaindernear 1.00 0.3 -> 0.10 |
| 308 | rmnx331 remaindernear 1.000 0.3 -> 0.100 |
| 309 | rmnx332 remaindernear 1.0000 0.3 -> 0.1000 |
| 310 | rmnx333 remaindernear 0.5 2 -> 0.5 |
| 311 | rmnx334 remaindernear 0.5 2.1 -> 0.5 |
| 312 | rmnx335 remaindernear 0.5 2.01 -> 0.50 |
| 313 | rmnx336 remaindernear 0.5 2.001 -> 0.500 |
| 314 | rmnx337 remaindernear 0.50 2 -> 0.50 |
| 315 | rmnx338 remaindernear 0.50 2.01 -> 0.50 |
| 316 | rmnx339 remaindernear 0.50 2.001 -> 0.500 |
| 317 | |
| 318 | rmnx340 remaindernear 0.5 0.5000001 -> -1E-7 |
| 319 | rmnx341 remaindernear 0.5 0.50000001 -> -1E-8 |
| 320 | rmnx342 remaindernear 0.5 0.500000001 -> -1E-9 |
| 321 | rmnx343 remaindernear 0.5 0.5000000001 -> -1E-10 |
| 322 | rmnx344 remaindernear 0.5 0.50000000001 -> -1E-11 |
| 323 | rmnx345 remaindernear 0.5 0.4999999 -> 1E-7 |
| 324 | rmnx346 remaindernear 0.5 0.49999999 -> 1E-8 |
| 325 | rmnx347 remaindernear 0.5 0.499999999 -> 1E-9 |
| 326 | rmnx348 remaindernear 0.5 0.4999999999 -> 1E-10 |
| 327 | rmnx349 remaindernear 0.5 0.49999999999 -> 1E-11 |
| 328 | |
| 329 | rmnx350 remaindernear 0.03 7 -> 0.03 |
| 330 | rmnx351 remaindernear 5 2 -> 1 |
| 331 | rmnx352 remaindernear 4.1 2 -> 0.1 |
| 332 | rmnx353 remaindernear 4.01 2 -> 0.01 |
| 333 | rmnx354 remaindernear 4.001 2 -> 0.001 |
| 334 | rmnx355 remaindernear 4.0001 2 -> 0.0001 |
| 335 | rmnx356 remaindernear 4.00001 2 -> 0.00001 |
| 336 | rmnx357 remaindernear 4.000001 2 -> 0.000001 |
| 337 | rmnx358 remaindernear 4.0000001 2 -> 1E-7 |
| 338 | |
| 339 | rmnx360 remaindernear 1.2 0.7345 -> -0.2690 |
| 340 | rmnx361 remaindernear 0.8 12 -> 0.8 |
| 341 | rmnx362 remaindernear 0.8 0.2 -> 0.0 |
| 342 | rmnx363 remaindernear 0.8 0.3 -> -0.1 |
| 343 | rmnx364 remaindernear 0.800 12 -> 0.800 |
| 344 | rmnx365 remaindernear 0.800 1.7 -> 0.800 |
| 345 | rmnx366 remaindernear 2.400 2 -> 0.400 |
| 346 | |
| 347 | precision: 6 |
| 348 | rmnx371 remaindernear 2.400 2 -> 0.400 |
| 349 | precision: 3 |
| 350 | rmnx372 remaindernear 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded |
| 351 | |
| 352 | precision: 5 |
| 353 | rmnx381 remaindernear 12345 1 -> 0 |
| 354 | rmnx382 remaindernear 12345 1.0001 -> -0.2344 |
| 355 | rmnx383 remaindernear 12345 1.001 -> -0.333 |
| 356 | rmnx384 remaindernear 12345 1.01 -> -0.23 |
| 357 | rmnx385 remaindernear 12345 1.1 -> -0.3 |
| 358 | rmnx386 remaindernear 12355 4 -> -1 |
| 359 | rmnx387 remaindernear 12345 4 -> 1 |
| 360 | rmnx388 remaindernear 12355 4.0001 -> -1.3089 |
| 361 | rmnx389 remaindernear 12345 4.0001 -> 0.6914 |
| 362 | rmnx390 remaindernear 12345 4.9 -> 1.9 |
| 363 | rmnx391 remaindernear 12345 4.99 -> -0.26 |
| 364 | rmnx392 remaindernear 12345 4.999 -> 2.469 |
| 365 | rmnx393 remaindernear 12345 4.9999 -> 0.2469 |
| 366 | rmnx394 remaindernear 12345 5 -> 0 |
| 367 | rmnx395 remaindernear 12345 5.0001 -> -0.2469 |
| 368 | rmnx396 remaindernear 12345 5.001 -> -2.469 |
| 369 | rmnx397 remaindernear 12345 5.01 -> 0.36 |
| 370 | rmnx398 remaindernear 12345 5.1 -> -2.1 |
| 371 | |
| 372 | precision: 9 |
| 373 | -- some nasty division-by-1 cases [some similar above] |
| 374 | rmnx401 remaindernear 0.4 1 -> 0.4 |
| 375 | rmnx402 remaindernear 0.45 1 -> 0.45 |
| 376 | rmnx403 remaindernear 0.455 1 -> 0.455 |
| 377 | rmnx404 remaindernear 0.4555 1 -> 0.4555 |
| 378 | rmnx405 remaindernear 0.45555 1 -> 0.45555 |
| 379 | rmnx406 remaindernear 0.455555 1 -> 0.455555 |
| 380 | rmnx407 remaindernear 0.4555555 1 -> 0.4555555 |
| 381 | rmnx408 remaindernear 0.45555555 1 -> 0.45555555 |
| 382 | rmnx409 remaindernear 0.455555555 1 -> 0.455555555 |
| 383 | |
| 384 | -- some tricky LHSs |
| 385 | rmnx420 remaindernear 99999999.999999999 1E+8 -> -1E-9 |
| 386 | rmnx421 remaindernear 999999999.999999999 1E+9 -> -1E-9 |
| 387 | precision: 9 |
| 388 | rmnx430 remaindernear 0.455555555 1 -> 0.455555555 |
| 389 | precision: 8 |
| 390 | rmnx431 remaindernear 0.455555555 1 -> 0.45555556 Inexact Rounded |
| 391 | precision: 7 |
| 392 | rmnx432 remaindernear 0.455555555 1 -> 0.4555556 Inexact Rounded |
| 393 | precision: 6 |
| 394 | rmnx433 remaindernear 0.455555555 1 -> 0.455556 Inexact Rounded |
| 395 | precision: 5 |
| 396 | rmnx434 remaindernear 0.455555555 1 -> 0.45556 Inexact Rounded |
| 397 | precision: 4 |
| 398 | rmnx435 remaindernear 0.455555555 1 -> 0.4556 Inexact Rounded |
| 399 | precision: 3 |
| 400 | rmnx436 remaindernear 0.455555555 1 -> 0.456 Inexact Rounded |
| 401 | precision: 2 |
| 402 | rmnx437 remaindernear 0.455555555 1 -> 0.46 Inexact Rounded |
| 403 | precision: 1 |
| 404 | rmnx438 remaindernear 0.455555555 1 -> 0.5 Inexact Rounded |
| 405 | |
| 406 | -- early tests; from text descriptions |
| 407 | precision: 9 |
| 408 | rmnx601 remaindernear 10 6 -> -2 |
| 409 | rmnx602 remaindernear -10 6 -> 2 |
| 410 | rmnx603 remaindernear 11 3 -> -1 |
| 411 | rmnx604 remaindernear 11 5 -> 1 |
| 412 | rmnx605 remaindernear 7.7 8 -> -0.3 |
| 413 | rmnx606 remaindernear 31.5 3 -> 1.5 -- i=10 |
| 414 | rmnx607 remaindernear 34.5 3 -> -1.5 -- i=11 |
| 415 | |
| Guido van Rossum | 0d3fb8a | 2007-11-26 23:23:18 +0000 | [diff] [blame] | 416 | -- zero signs |
| 417 | rmnx650 remaindernear 1 1 -> 0 |
| 418 | rmnx651 remaindernear -1 1 -> -0 |
| 419 | rmnx652 remaindernear 1 -1 -> 0 |
| 420 | rmnx653 remaindernear -1 -1 -> -0 |
| 421 | rmnx654 remaindernear 0 1 -> 0 |
| 422 | rmnx655 remaindernear -0 1 -> -0 |
| 423 | rmnx656 remaindernear 0 -1 -> 0 |
| 424 | rmnx657 remaindernear -0 -1 -> -0 |
| 425 | rmnx658 remaindernear 0.00 1 -> 0.00 |
| 426 | rmnx659 remaindernear -0.00 1 -> -0.00 |
| 427 | |
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 428 | -- Specials |
| 429 | rmnx680 remaindernear Inf -Inf -> NaN Invalid_operation |
| 430 | rmnx681 remaindernear Inf -1000 -> NaN Invalid_operation |
| 431 | rmnx682 remaindernear Inf -1 -> NaN Invalid_operation |
| 432 | rmnx683 remaindernear Inf 0 -> NaN Invalid_operation |
| 433 | rmnx684 remaindernear Inf -0 -> NaN Invalid_operation |
| 434 | rmnx685 remaindernear Inf 1 -> NaN Invalid_operation |
| 435 | rmnx686 remaindernear Inf 1000 -> NaN Invalid_operation |
| 436 | rmnx687 remaindernear Inf Inf -> NaN Invalid_operation |
| 437 | rmnx688 remaindernear -1000 Inf -> -1000 |
| 438 | rmnx689 remaindernear -Inf Inf -> NaN Invalid_operation |
| 439 | rmnx691 remaindernear -1 Inf -> -1 |
| 440 | rmnx692 remaindernear 0 Inf -> 0 |
| 441 | rmnx693 remaindernear -0 Inf -> -0 |
| 442 | rmnx694 remaindernear 1 Inf -> 1 |
| 443 | rmnx695 remaindernear 1000 Inf -> 1000 |
| 444 | rmnx696 remaindernear Inf Inf -> NaN Invalid_operation |
| 445 | |
| 446 | rmnx700 remaindernear -Inf -Inf -> NaN Invalid_operation |
| 447 | rmnx701 remaindernear -Inf -1000 -> NaN Invalid_operation |
| 448 | rmnx702 remaindernear -Inf -1 -> NaN Invalid_operation |
| 449 | rmnx703 remaindernear -Inf -0 -> NaN Invalid_operation |
| 450 | rmnx704 remaindernear -Inf 0 -> NaN Invalid_operation |
| 451 | rmnx705 remaindernear -Inf 1 -> NaN Invalid_operation |
| 452 | rmnx706 remaindernear -Inf 1000 -> NaN Invalid_operation |
| 453 | rmnx707 remaindernear -Inf Inf -> NaN Invalid_operation |
| 454 | rmnx708 remaindernear -Inf -Inf -> NaN Invalid_operation |
| 455 | rmnx709 remaindernear -1000 Inf -> -1000 |
| 456 | rmnx710 remaindernear -1 -Inf -> -1 |
| 457 | rmnx711 remaindernear -0 -Inf -> -0 |
| 458 | rmnx712 remaindernear 0 -Inf -> 0 |
| 459 | rmnx713 remaindernear 1 -Inf -> 1 |
| 460 | rmnx714 remaindernear 1000 -Inf -> 1000 |
| 461 | rmnx715 remaindernear Inf -Inf -> NaN Invalid_operation |
| 462 | |
| 463 | rmnx721 remaindernear NaN -Inf -> NaN |
| 464 | rmnx722 remaindernear NaN -1000 -> NaN |
| 465 | rmnx723 remaindernear NaN -1 -> NaN |
| 466 | rmnx724 remaindernear NaN -0 -> NaN |
| 467 | rmnx725 remaindernear NaN 0 -> NaN |
| 468 | rmnx726 remaindernear NaN 1 -> NaN |
| 469 | rmnx727 remaindernear NaN 1000 -> NaN |
| 470 | rmnx728 remaindernear NaN Inf -> NaN |
| 471 | rmnx729 remaindernear NaN NaN -> NaN |
| 472 | rmnx730 remaindernear -Inf NaN -> NaN |
| 473 | rmnx731 remaindernear -1000 NaN -> NaN |
| 474 | rmnx732 remaindernear -1 -NaN -> -NaN |
| 475 | rmnx733 remaindernear -0 NaN -> NaN |
| 476 | rmnx734 remaindernear 0 NaN -> NaN |
| 477 | rmnx735 remaindernear 1 NaN -> NaN |
| 478 | rmnx736 remaindernear 1000 NaN -> NaN |
| 479 | rmnx737 remaindernear Inf NaN -> NaN |
| 480 | |
| 481 | rmnx741 remaindernear sNaN -Inf -> NaN Invalid_operation |
| 482 | rmnx742 remaindernear sNaN -1000 -> NaN Invalid_operation |
| 483 | rmnx743 remaindernear -sNaN -1 -> -NaN Invalid_operation |
| 484 | rmnx744 remaindernear sNaN -0 -> NaN Invalid_operation |
| 485 | rmnx745 remaindernear sNaN 0 -> NaN Invalid_operation |
| 486 | rmnx746 remaindernear sNaN 1 -> NaN Invalid_operation |
| 487 | rmnx747 remaindernear sNaN 1000 -> NaN Invalid_operation |
| 488 | rmnx749 remaindernear sNaN NaN -> NaN Invalid_operation |
| 489 | rmnx750 remaindernear sNaN sNaN -> NaN Invalid_operation |
| 490 | rmnx751 remaindernear NaN sNaN -> NaN Invalid_operation |
| 491 | rmnx752 remaindernear -Inf sNaN -> NaN Invalid_operation |
| 492 | rmnx753 remaindernear -1000 sNaN -> NaN Invalid_operation |
| 493 | rmnx754 remaindernear -1 sNaN -> NaN Invalid_operation |
| 494 | rmnx755 remaindernear -0 -sNaN -> -NaN Invalid_operation |
| 495 | rmnx756 remaindernear 0 sNaN -> NaN Invalid_operation |
| 496 | rmnx757 remaindernear 1 sNaN -> NaN Invalid_operation |
| 497 | rmnx758 remaindernear 1000 sNaN -> NaN Invalid_operation |
| 498 | rmnx759 remaindernear Inf sNaN -> NaN Invalid_operation |
| 499 | rmnx760 remaindernear NaN sNaN -> NaN Invalid_operation |
| 500 | |
| 501 | -- propaging NaNs |
| 502 | rmnx761 remaindernear NaN1 NaN7 -> NaN1 |
| 503 | rmnx762 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation |
| 504 | rmnx763 remaindernear NaN3 -sNaN9 -> -NaN9 Invalid_operation |
| 505 | rmnx764 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation |
| 506 | rmnx765 remaindernear 15 NaN11 -> NaN11 |
| 507 | rmnx766 remaindernear NaN6 NaN12 -> NaN6 |
| 508 | rmnx767 remaindernear Inf -NaN13 -> -NaN13 |
| 509 | rmnx768 remaindernear NaN14 -Inf -> NaN14 |
| 510 | rmnx769 remaindernear 0 NaN15 -> NaN15 |
| 511 | rmnx770 remaindernear -NaN16 -0 -> -NaN16 |
| 512 | |
| 513 | -- test some cases that are close to exponent overflow |
| 514 | maxexponent: 999999999 |
| 515 | minexponent: -999999999 |
| 516 | rmnx780 remaindernear 1 1e999999999 -> 1 |
| 517 | rmnx781 remaindernear 1 0.9e999999999 -> 1 |
| 518 | rmnx782 remaindernear 1 0.99e999999999 -> 1 |
| 519 | rmnx783 remaindernear 1 0.999999999e999999999 -> 1 |
| 520 | rmnx784 remaindernear 9e999999999 1 -> NaN Division_impossible |
| 521 | rmnx785 remaindernear 9.9e999999999 1 -> NaN Division_impossible |
| 522 | rmnx786 remaindernear 9.99e999999999 1 -> NaN Division_impossible |
| 523 | rmnx787 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible |
| 524 | |
| 525 | |
| 526 | -- overflow and underflow tests [from divide] |
| 527 | precision: 9 |
| 528 | maxexponent: 999999999 |
| 529 | minexponent: -999999999 |
| 530 | rmnx790 remaindernear +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded |
| 531 | rmnx791 remaindernear 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible |
| 532 | rmnx792 remaindernear +0.100 9E+999999999 -> 0.100 |
| 533 | rmnx793 remaindernear 9E-999999999 +9.100 -> 9E-999999999 |
| 534 | rmnx795 remaindernear -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded |
| 535 | rmnx796 remaindernear 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible |
| 536 | rmnx797 remaindernear -0.100 9E+999999999 -> -0.100 |
| 537 | rmnx798 remaindernear 9E-999999999 -9.100 -> 9E-999999999 |
| 538 | |
| 539 | -- long operands checks |
| 540 | maxexponent: 999 |
| 541 | minexponent: -999 |
| 542 | precision: 9 |
| 543 | rmnx801 remaindernear 12345678000 100 -> 0 |
| 544 | rmnx802 remaindernear 1 12345678000 -> 1 |
| 545 | rmnx803 remaindernear 1234567800 10 -> 0 |
| 546 | rmnx804 remaindernear 1 1234567800 -> 1 |
| 547 | rmnx805 remaindernear 1234567890 10 -> 0 |
| 548 | rmnx806 remaindernear 1 1234567890 -> 1 |
| 549 | rmnx807 remaindernear 1234567891 10 -> 1 |
| 550 | rmnx808 remaindernear 1 1234567891 -> 1 |
| 551 | rmnx809 remaindernear 12345678901 100 -> 1 |
| 552 | rmnx810 remaindernear 1 12345678901 -> 1 |
| 553 | rmnx811 remaindernear 1234567896 10 -> -4 |
| 554 | rmnx812 remaindernear 1 1234567896 -> 1 |
| 555 | |
| 556 | precision: 15 |
| 557 | rmnx841 remaindernear 12345678000 100 -> 0 |
| 558 | rmnx842 remaindernear 1 12345678000 -> 1 |
| 559 | rmnx843 remaindernear 1234567800 10 -> 0 |
| 560 | rmnx844 remaindernear 1 1234567800 -> 1 |
| 561 | rmnx845 remaindernear 1234567890 10 -> 0 |
| 562 | rmnx846 remaindernear 1 1234567890 -> 1 |
| 563 | rmnx847 remaindernear 1234567891 10 -> 1 |
| 564 | rmnx848 remaindernear 1 1234567891 -> 1 |
| 565 | rmnx849 remaindernear 12345678901 100 -> 1 |
| 566 | rmnx850 remaindernear 1 12345678901 -> 1 |
| 567 | rmnx851 remaindernear 1234567896 10 -> -4 |
| 568 | rmnx852 remaindernear 1 1234567896 -> 1 |
| 569 | |
| 570 | -- Null tests |
| 571 | rmnx900 remaindernear 10 # -> NaN Invalid_operation |
| 572 | rmnx901 remaindernear # 10 -> NaN Invalid_operation |