| Georg Brandl | faa9ad2 | 2011-03-05 15:06:13 +0100 | [diff] [blame] | 1 | ------------------------------------------------------------------------ |
| 2 | -- ddRemainderNear.decTest -- decDouble remainder-near -- |
| 3 | -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- |
| 4 | ------------------------------------------------------------------------ |
| 5 | -- Please see the document "General Decimal Arithmetic Testcases" -- |
| 6 | -- at http://www2.hursley.ibm.com/decimal for the description of -- |
| 7 | -- these testcases. -- |
| 8 | -- -- |
| 9 | -- These testcases are experimental ('beta' versions), and they -- |
| 10 | -- may contain errors. They are offered on an as-is basis. In -- |
| 11 | -- particular, achieving the same results as the tests here is not -- |
| 12 | -- a guarantee that an implementation complies with any Standard -- |
| 13 | -- or specification. The tests are not exhaustive. -- |
| 14 | -- -- |
| 15 | -- Please send comments, suggestions, and corrections to the author: -- |
| 16 | -- Mike Cowlishaw, IBM Fellow -- |
| 17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- |
| 18 | -- mfc@uk.ibm.com -- |
| 19 | ------------------------------------------------------------------------ |
| 20 | version: 2.59 |
| 21 | |
| 22 | precision: 16 |
| 23 | maxExponent: 384 |
| 24 | minExponent: -383 |
| 25 | extended: 1 |
| 26 | clamp: 1 |
| 27 | rounding: half_even |
| 28 | |
| 29 | -- sanity checks (as base, above) |
| 30 | ddrmn001 remaindernear 1 1 -> 0 |
| 31 | ddrmn002 remaindernear 2 1 -> 0 |
| 32 | ddrmn003 remaindernear 1 2 -> 1 |
| 33 | ddrmn004 remaindernear 2 2 -> 0 |
| 34 | ddrmn005 remaindernear 0 1 -> 0 |
| 35 | ddrmn006 remaindernear 0 2 -> 0 |
| 36 | ddrmn007 remaindernear 1 3 -> 1 |
| 37 | ddrmn008 remaindernear 2 3 -> -1 |
| 38 | ddrmn009 remaindernear 3 3 -> 0 |
| 39 | |
| 40 | ddrmn010 remaindernear 2.4 1 -> 0.4 |
| 41 | ddrmn011 remaindernear 2.4 -1 -> 0.4 |
| 42 | ddrmn012 remaindernear -2.4 1 -> -0.4 |
| 43 | ddrmn013 remaindernear -2.4 -1 -> -0.4 |
| 44 | ddrmn014 remaindernear 2.40 1 -> 0.40 |
| 45 | ddrmn015 remaindernear 2.400 1 -> 0.400 |
| 46 | ddrmn016 remaindernear 2.4 2 -> 0.4 |
| 47 | ddrmn017 remaindernear 2.400 2 -> 0.400 |
| 48 | ddrmn018 remaindernear 2. 2 -> 0 |
| 49 | ddrmn019 remaindernear 20 20 -> 0 |
| 50 | |
| 51 | ddrmn020 remaindernear 187 187 -> 0 |
| 52 | ddrmn021 remaindernear 5 2 -> 1 |
| 53 | ddrmn022 remaindernear 5 2.0 -> 1.0 |
| 54 | ddrmn023 remaindernear 5 2.000 -> 1.000 |
| 55 | ddrmn024 remaindernear 5 0.200 -> 0.000 |
| 56 | ddrmn025 remaindernear 5 0.200 -> 0.000 |
| 57 | |
| 58 | ddrmn030 remaindernear 1 2 -> 1 |
| 59 | ddrmn031 remaindernear 1 4 -> 1 |
| 60 | ddrmn032 remaindernear 1 8 -> 1 |
| 61 | |
| 62 | ddrmn033 remaindernear 1 16 -> 1 |
| 63 | ddrmn034 remaindernear 1 32 -> 1 |
| 64 | ddrmn035 remaindernear 1 64 -> 1 |
| 65 | ddrmn040 remaindernear 1 -2 -> 1 |
| 66 | ddrmn041 remaindernear 1 -4 -> 1 |
| 67 | ddrmn042 remaindernear 1 -8 -> 1 |
| 68 | ddrmn043 remaindernear 1 -16 -> 1 |
| 69 | ddrmn044 remaindernear 1 -32 -> 1 |
| 70 | ddrmn045 remaindernear 1 -64 -> 1 |
| 71 | ddrmn050 remaindernear -1 2 -> -1 |
| 72 | ddrmn051 remaindernear -1 4 -> -1 |
| 73 | ddrmn052 remaindernear -1 8 -> -1 |
| 74 | ddrmn053 remaindernear -1 16 -> -1 |
| 75 | ddrmn054 remaindernear -1 32 -> -1 |
| 76 | ddrmn055 remaindernear -1 64 -> -1 |
| 77 | ddrmn060 remaindernear -1 -2 -> -1 |
| 78 | ddrmn061 remaindernear -1 -4 -> -1 |
| 79 | ddrmn062 remaindernear -1 -8 -> -1 |
| 80 | ddrmn063 remaindernear -1 -16 -> -1 |
| 81 | ddrmn064 remaindernear -1 -32 -> -1 |
| 82 | ddrmn065 remaindernear -1 -64 -> -1 |
| 83 | |
| 84 | ddrmn066 remaindernear 9.9 1 -> -0.1 |
| 85 | ddrmn067 remaindernear 99.7 1 -> -0.3 |
| 86 | ddrmn068 remaindernear 999999999 1 -> 0 |
| 87 | ddrmn069 remaindernear 999999999.4 1 -> 0.4 |
| 88 | ddrmn070 remaindernear 999999999.5 1 -> -0.5 |
| 89 | ddrmn071 remaindernear 999999999.9 1 -> -0.1 |
| 90 | ddrmn072 remaindernear 999999999.999 1 -> -0.001 |
| 91 | ddrmn073 remaindernear 999999.999999 1 -> -0.000001 |
| 92 | ddrmn074 remaindernear 9 1 -> 0 |
| 93 | ddrmn075 remaindernear 9999999999999999 1 -> 0 |
| 94 | ddrmn076 remaindernear 9999999999999999 2 -> -1 |
| 95 | ddrmn077 remaindernear 9999999999999999 3 -> 0 |
| 96 | ddrmn078 remaindernear 9999999999999999 4 -> -1 |
| 97 | |
| 98 | ddrmn080 remaindernear 0. 1 -> 0 |
| 99 | ddrmn081 remaindernear .0 1 -> 0.0 |
| 100 | ddrmn082 remaindernear 0.00 1 -> 0.00 |
| 101 | ddrmn083 remaindernear 0.00E+9 1 -> 0 |
| 102 | ddrmn084 remaindernear 0.00E+3 1 -> 0 |
| 103 | ddrmn085 remaindernear 0.00E+2 1 -> 0 |
| 104 | ddrmn086 remaindernear 0.00E+1 1 -> 0.0 |
| 105 | ddrmn087 remaindernear 0.00E+0 1 -> 0.00 |
| 106 | ddrmn088 remaindernear 0.00E-0 1 -> 0.00 |
| 107 | ddrmn089 remaindernear 0.00E-1 1 -> 0.000 |
| 108 | ddrmn090 remaindernear 0.00E-2 1 -> 0.0000 |
| 109 | ddrmn091 remaindernear 0.00E-3 1 -> 0.00000 |
| 110 | ddrmn092 remaindernear 0.00E-4 1 -> 0.000000 |
| 111 | ddrmn093 remaindernear 0.00E-5 1 -> 0E-7 |
| 112 | ddrmn094 remaindernear 0.00E-6 1 -> 0E-8 |
| 113 | ddrmn095 remaindernear 0.0000E-50 1 -> 0E-54 |
| 114 | |
| 115 | -- Various flavours of remaindernear by 0 |
| 116 | ddrmn101 remaindernear 0 0 -> NaN Division_undefined |
| 117 | ddrmn102 remaindernear 0 -0 -> NaN Division_undefined |
| 118 | ddrmn103 remaindernear -0 0 -> NaN Division_undefined |
| 119 | ddrmn104 remaindernear -0 -0 -> NaN Division_undefined |
| 120 | ddrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined |
| 121 | ddrmn106 remaindernear 0.000 0 -> NaN Division_undefined |
| 122 | -- [Some think this next group should be Division_by_zero exception, but |
| 123 | -- IEEE 854 is explicit that it is Invalid operation .. for |
| 124 | -- remainder-near, anyway] |
| 125 | ddrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation |
| 126 | ddrmn108 remaindernear 0.01 0 -> NaN Invalid_operation |
| 127 | ddrmn109 remaindernear 0.1 0 -> NaN Invalid_operation |
| 128 | ddrmn110 remaindernear 1 0 -> NaN Invalid_operation |
| 129 | ddrmn111 remaindernear 1 0.0 -> NaN Invalid_operation |
| 130 | ddrmn112 remaindernear 10 0.0 -> NaN Invalid_operation |
| 131 | ddrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
| 132 | ddrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation |
| 133 | ddrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation |
| 134 | ddrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation |
| 135 | ddrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation |
| 136 | ddrmn120 remaindernear 1 -0 -> NaN Invalid_operation |
| 137 | ddrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation |
| 138 | ddrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation |
| 139 | ddrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation |
| 140 | ddrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation |
| 141 | -- and zeros on left |
| 142 | ddrmn130 remaindernear 0 1 -> 0 |
| 143 | ddrmn131 remaindernear 0 -1 -> 0 |
| 144 | ddrmn132 remaindernear 0.0 1 -> 0.0 |
| 145 | ddrmn133 remaindernear 0.0 -1 -> 0.0 |
| 146 | ddrmn134 remaindernear -0 1 -> -0 |
| 147 | ddrmn135 remaindernear -0 -1 -> -0 |
| 148 | ddrmn136 remaindernear -0.0 1 -> -0.0 |
| 149 | ddrmn137 remaindernear -0.0 -1 -> -0.0 |
| 150 | |
| 151 | -- 0.5ers |
| 152 | ddrmn143 remaindernear 0.5 2 -> 0.5 |
| 153 | ddrmn144 remaindernear 0.5 2.1 -> 0.5 |
| 154 | ddrmn145 remaindernear 0.5 2.01 -> 0.50 |
| 155 | ddrmn146 remaindernear 0.5 2.001 -> 0.500 |
| 156 | ddrmn147 remaindernear 0.50 2 -> 0.50 |
| 157 | ddrmn148 remaindernear 0.50 2.01 -> 0.50 |
| 158 | ddrmn149 remaindernear 0.50 2.001 -> 0.500 |
| 159 | |
| 160 | -- steadies |
| 161 | ddrmn150 remaindernear 1 1 -> 0 |
| 162 | ddrmn151 remaindernear 1 2 -> 1 |
| 163 | ddrmn152 remaindernear 1 3 -> 1 |
| 164 | ddrmn153 remaindernear 1 4 -> 1 |
| 165 | ddrmn154 remaindernear 1 5 -> 1 |
| 166 | ddrmn155 remaindernear 1 6 -> 1 |
| 167 | ddrmn156 remaindernear 1 7 -> 1 |
| 168 | ddrmn157 remaindernear 1 8 -> 1 |
| 169 | ddrmn158 remaindernear 1 9 -> 1 |
| 170 | ddrmn159 remaindernear 1 10 -> 1 |
| 171 | ddrmn160 remaindernear 1 1 -> 0 |
| 172 | ddrmn161 remaindernear 2 1 -> 0 |
| 173 | ddrmn162 remaindernear 3 1 -> 0 |
| 174 | ddrmn163 remaindernear 4 1 -> 0 |
| 175 | ddrmn164 remaindernear 5 1 -> 0 |
| 176 | ddrmn165 remaindernear 6 1 -> 0 |
| 177 | ddrmn166 remaindernear 7 1 -> 0 |
| 178 | ddrmn167 remaindernear 8 1 -> 0 |
| 179 | ddrmn168 remaindernear 9 1 -> 0 |
| 180 | ddrmn169 remaindernear 10 1 -> 0 |
| 181 | |
| 182 | -- some differences from remainder |
| 183 | ddrmn171 remaindernear 0.4 1.020 -> 0.400 |
| 184 | ddrmn172 remaindernear 0.50 1.020 -> 0.500 |
| 185 | ddrmn173 remaindernear 0.51 1.020 -> 0.510 |
| 186 | ddrmn174 remaindernear 0.52 1.020 -> -0.500 |
| 187 | ddrmn175 remaindernear 0.6 1.020 -> -0.420 |
| 188 | |
| 189 | -- More flavours of remaindernear by 0 |
| 190 | ddrmn201 remaindernear 0 0 -> NaN Division_undefined |
| 191 | ddrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined |
| 192 | ddrmn203 remaindernear 0.000 0 -> NaN Division_undefined |
| 193 | ddrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation |
| 194 | ddrmn205 remaindernear 0.01 0 -> NaN Invalid_operation |
| 195 | ddrmn206 remaindernear 0.1 0 -> NaN Invalid_operation |
| 196 | ddrmn207 remaindernear 1 0 -> NaN Invalid_operation |
| 197 | ddrmn208 remaindernear 1 0.0 -> NaN Invalid_operation |
| 198 | ddrmn209 remaindernear 10 0.0 -> NaN Invalid_operation |
| 199 | ddrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
| 200 | ddrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation |
| 201 | |
| 202 | -- tests from the extended specification |
| 203 | ddrmn221 remaindernear 2.1 3 -> -0.9 |
| 204 | ddrmn222 remaindernear 10 6 -> -2 |
| 205 | ddrmn223 remaindernear 10 3 -> 1 |
| 206 | ddrmn224 remaindernear -10 3 -> -1 |
| 207 | ddrmn225 remaindernear 10.2 1 -> 0.2 |
| 208 | ddrmn226 remaindernear 10 0.3 -> 0.1 |
| 209 | ddrmn227 remaindernear 3.6 1.3 -> -0.3 |
| 210 | |
| 211 | -- some differences from remainder |
| 212 | ddrmn231 remaindernear -0.4 1.020 -> -0.400 |
| 213 | ddrmn232 remaindernear -0.50 1.020 -> -0.500 |
| 214 | ddrmn233 remaindernear -0.51 1.020 -> -0.510 |
| 215 | ddrmn234 remaindernear -0.52 1.020 -> 0.500 |
| 216 | ddrmn235 remaindernear -0.6 1.020 -> 0.420 |
| 217 | |
| 218 | -- high Xs |
| 219 | ddrmn240 remaindernear 1E+2 1.00 -> 0.00 |
| 220 | |
| 221 | -- ddrmn3xx are from DiagBigDecimal |
| 222 | ddrmn301 remaindernear 1 3 -> 1 |
| 223 | ddrmn302 remaindernear 5 5 -> 0 |
| 224 | ddrmn303 remaindernear 13 10 -> 3 |
| 225 | ddrmn304 remaindernear 13 50 -> 13 |
| 226 | ddrmn305 remaindernear 13 100 -> 13 |
| 227 | ddrmn306 remaindernear 13 1000 -> 13 |
| 228 | ddrmn307 remaindernear .13 1 -> 0.13 |
| 229 | ddrmn308 remaindernear 0.133 1 -> 0.133 |
| 230 | ddrmn309 remaindernear 0.1033 1 -> 0.1033 |
| 231 | ddrmn310 remaindernear 1.033 1 -> 0.033 |
| 232 | ddrmn311 remaindernear 10.33 1 -> 0.33 |
| 233 | ddrmn312 remaindernear 10.33 10 -> 0.33 |
| 234 | ddrmn313 remaindernear 103.3 1 -> 0.3 |
| 235 | ddrmn314 remaindernear 133 10 -> 3 |
| 236 | ddrmn315 remaindernear 1033 10 -> 3 |
| 237 | ddrmn316 remaindernear 1033 50 -> -17 |
| 238 | ddrmn317 remaindernear 101.0 3 -> -1.0 |
| 239 | ddrmn318 remaindernear 102.0 3 -> 0.0 |
| 240 | ddrmn319 remaindernear 103.0 3 -> 1.0 |
| 241 | ddrmn320 remaindernear 2.40 1 -> 0.40 |
| 242 | ddrmn321 remaindernear 2.400 1 -> 0.400 |
| 243 | ddrmn322 remaindernear 2.4 1 -> 0.4 |
| 244 | ddrmn323 remaindernear 2.4 2 -> 0.4 |
| 245 | ddrmn324 remaindernear 2.400 2 -> 0.400 |
| 246 | ddrmn325 remaindernear 1 0.3 -> 0.1 |
| 247 | ddrmn326 remaindernear 1 0.30 -> 0.10 |
| 248 | ddrmn327 remaindernear 1 0.300 -> 0.100 |
| 249 | ddrmn328 remaindernear 1 0.3000 -> 0.1000 |
| 250 | ddrmn329 remaindernear 1.0 0.3 -> 0.1 |
| 251 | ddrmn330 remaindernear 1.00 0.3 -> 0.10 |
| 252 | ddrmn331 remaindernear 1.000 0.3 -> 0.100 |
| 253 | ddrmn332 remaindernear 1.0000 0.3 -> 0.1000 |
| 254 | ddrmn333 remaindernear 0.5 2 -> 0.5 |
| 255 | ddrmn334 remaindernear 0.5 2.1 -> 0.5 |
| 256 | ddrmn335 remaindernear 0.5 2.01 -> 0.50 |
| 257 | ddrmn336 remaindernear 0.5 2.001 -> 0.500 |
| 258 | ddrmn337 remaindernear 0.50 2 -> 0.50 |
| 259 | ddrmn338 remaindernear 0.50 2.01 -> 0.50 |
| 260 | ddrmn339 remaindernear 0.50 2.001 -> 0.500 |
| 261 | |
| 262 | ddrmn340 remaindernear 0.5 0.5000001 -> -1E-7 |
| 263 | ddrmn341 remaindernear 0.5 0.50000001 -> -1E-8 |
| 264 | ddrmn342 remaindernear 0.5 0.500000001 -> -1E-9 |
| 265 | ddrmn343 remaindernear 0.5 0.5000000001 -> -1E-10 |
| 266 | ddrmn344 remaindernear 0.5 0.50000000001 -> -1E-11 |
| 267 | ddrmn345 remaindernear 0.5 0.4999999 -> 1E-7 |
| 268 | ddrmn346 remaindernear 0.5 0.49999999 -> 1E-8 |
| 269 | ddrmn347 remaindernear 0.5 0.499999999 -> 1E-9 |
| 270 | ddrmn348 remaindernear 0.5 0.4999999999 -> 1E-10 |
| 271 | ddrmn349 remaindernear 0.5 0.49999999999 -> 1E-11 |
| 272 | ddrmn350 remaindernear 0.5 0.499999999999 -> 1E-12 |
| 273 | |
| 274 | ddrmn351 remaindernear 0.03 7 -> 0.03 |
| 275 | ddrmn352 remaindernear 5 2 -> 1 |
| 276 | ddrmn353 remaindernear 4.1 2 -> 0.1 |
| 277 | ddrmn354 remaindernear 4.01 2 -> 0.01 |
| 278 | ddrmn355 remaindernear 4.001 2 -> 0.001 |
| 279 | ddrmn356 remaindernear 4.0001 2 -> 0.0001 |
| 280 | ddrmn357 remaindernear 4.00001 2 -> 0.00001 |
| 281 | ddrmn358 remaindernear 4.000001 2 -> 0.000001 |
| 282 | ddrmn359 remaindernear 4.0000001 2 -> 1E-7 |
| 283 | |
| 284 | ddrmn360 remaindernear 1.2 0.7345 -> -0.2690 |
| 285 | ddrmn361 remaindernear 0.8 12 -> 0.8 |
| 286 | ddrmn362 remaindernear 0.8 0.2 -> 0.0 |
| 287 | ddrmn363 remaindernear 0.8 0.3 -> -0.1 |
| 288 | ddrmn364 remaindernear 0.800 12 -> 0.800 |
| 289 | ddrmn365 remaindernear 0.800 1.7 -> 0.800 |
| 290 | ddrmn366 remaindernear 2.400 2 -> 0.400 |
| 291 | |
| 292 | -- round to even |
| 293 | ddrmn371 remaindernear 121 2 -> 1 |
| 294 | ddrmn372 remaindernear 122 2 -> 0 |
| 295 | ddrmn373 remaindernear 123 2 -> -1 |
| 296 | ddrmn374 remaindernear 124 2 -> 0 |
| 297 | ddrmn375 remaindernear 125 2 -> 1 |
| 298 | ddrmn376 remaindernear 126 2 -> 0 |
| 299 | ddrmn377 remaindernear 127 2 -> -1 |
| 300 | |
| 301 | ddrmn381 remaindernear 12345 1 -> 0 |
| 302 | ddrmn382 remaindernear 12345 1.0001 -> -0.2344 |
| 303 | ddrmn383 remaindernear 12345 1.001 -> -0.333 |
| 304 | ddrmn384 remaindernear 12345 1.01 -> -0.23 |
| 305 | ddrmn385 remaindernear 12345 1.1 -> -0.3 |
| 306 | ddrmn386 remaindernear 12355 4 -> -1 |
| 307 | ddrmn387 remaindernear 12345 4 -> 1 |
| 308 | ddrmn388 remaindernear 12355 4.0001 -> -1.3089 |
| 309 | ddrmn389 remaindernear 12345 4.0001 -> 0.6914 |
| 310 | ddrmn390 remaindernear 12345 4.9 -> 1.9 |
| 311 | ddrmn391 remaindernear 12345 4.99 -> -0.26 |
| 312 | ddrmn392 remaindernear 12345 4.999 -> 2.469 |
| 313 | ddrmn393 remaindernear 12345 4.9999 -> 0.2469 |
| 314 | ddrmn394 remaindernear 12345 5 -> 0 |
| 315 | ddrmn395 remaindernear 12345 5.0001 -> -0.2469 |
| 316 | ddrmn396 remaindernear 12345 5.001 -> -2.469 |
| 317 | ddrmn397 remaindernear 12345 5.01 -> 0.36 |
| 318 | ddrmn398 remaindernear 12345 5.1 -> -2.1 |
| 319 | |
| 320 | -- the nasty division-by-1 cases |
| 321 | ddrmn401 remaindernear 0.4 1 -> 0.4 |
| 322 | ddrmn402 remaindernear 0.45 1 -> 0.45 |
| 323 | ddrmn403 remaindernear 0.455 1 -> 0.455 |
| 324 | ddrmn404 remaindernear 0.4555 1 -> 0.4555 |
| 325 | ddrmn405 remaindernear 0.45555 1 -> 0.45555 |
| 326 | ddrmn406 remaindernear 0.455555 1 -> 0.455555 |
| 327 | ddrmn407 remaindernear 0.4555555 1 -> 0.4555555 |
| 328 | ddrmn408 remaindernear 0.45555555 1 -> 0.45555555 |
| 329 | ddrmn409 remaindernear 0.455555555 1 -> 0.455555555 |
| 330 | -- with spill... [412 exercises sticktab loop] |
| 331 | ddrmn411 remaindernear 0.5 1 -> 0.5 |
| 332 | ddrmn412 remaindernear 0.55 1 -> -0.45 |
| 333 | ddrmn413 remaindernear 0.555 1 -> -0.445 |
| 334 | ddrmn414 remaindernear 0.5555 1 -> -0.4445 |
| 335 | ddrmn415 remaindernear 0.55555 1 -> -0.44445 |
| 336 | ddrmn416 remaindernear 0.555555 1 -> -0.444445 |
| 337 | ddrmn417 remaindernear 0.5555555 1 -> -0.4444445 |
| 338 | ddrmn418 remaindernear 0.55555555 1 -> -0.44444445 |
| 339 | ddrmn419 remaindernear 0.555555555 1 -> -0.444444445 |
| 340 | |
| 341 | -- folddowns |
| 342 | ddrmn421 remaindernear 1E+384 1 -> NaN Division_impossible |
| 343 | ddrmn422 remaindernear 1E+384 1E+383 -> 0E+369 Clamped |
| 344 | ddrmn423 remaindernear 1E+384 2E+383 -> 0E+369 Clamped |
| 345 | ddrmn424 remaindernear 1E+384 3E+383 -> 1.00000000000000E+383 Clamped |
| 346 | ddrmn425 remaindernear 1E+384 4E+383 -> 2.00000000000000E+383 Clamped |
| 347 | ddrmn426 remaindernear 1E+384 5E+383 -> 0E+369 Clamped |
| 348 | ddrmn427 remaindernear 1E+384 6E+383 -> -2.00000000000000E+383 Clamped |
| 349 | ddrmn428 remaindernear 1E+384 7E+383 -> 3.00000000000000E+383 Clamped |
| 350 | ddrmn429 remaindernear 1E+384 8E+383 -> 2.00000000000000E+383 Clamped |
| 351 | ddrmn430 remaindernear 1E+384 9E+383 -> 1.00000000000000E+383 Clamped |
| 352 | -- tinies |
| 353 | ddrmn431 remaindernear 1E-397 1E-398 -> 0E-398 |
| 354 | ddrmn432 remaindernear 1E-397 2E-398 -> 0E-398 |
| 355 | ddrmn433 remaindernear 1E-397 3E-398 -> 1E-398 Subnormal |
| 356 | ddrmn434 remaindernear 1E-397 4E-398 -> 2E-398 Subnormal |
| 357 | ddrmn435 remaindernear 1E-397 5E-398 -> 0E-398 |
| 358 | ddrmn436 remaindernear 1E-397 6E-398 -> -2E-398 Subnormal |
| 359 | ddrmn437 remaindernear 1E-397 7E-398 -> 3E-398 Subnormal |
| 360 | ddrmn438 remaindernear 1E-397 8E-398 -> 2E-398 Subnormal |
| 361 | ddrmn439 remaindernear 1E-397 9E-398 -> 1E-398 Subnormal |
| 362 | ddrmn440 remaindernear 1E-397 10E-398 -> 0E-398 |
| 363 | ddrmn441 remaindernear 1E-397 11E-398 -> -1E-398 Subnormal |
| 364 | ddrmn442 remaindernear 100E-397 11E-398 -> -1E-398 Subnormal |
| 365 | ddrmn443 remaindernear 100E-397 20E-398 -> 0E-398 |
| 366 | ddrmn444 remaindernear 100E-397 21E-398 -> -8E-398 Subnormal |
| 367 | ddrmn445 remaindernear 100E-397 30E-398 -> 1.0E-397 Subnormal |
| 368 | |
| 369 | -- zero signs |
| 370 | ddrmn650 remaindernear 1 1 -> 0 |
| 371 | ddrmn651 remaindernear -1 1 -> -0 |
| 372 | ddrmn652 remaindernear 1 -1 -> 0 |
| 373 | ddrmn653 remaindernear -1 -1 -> -0 |
| 374 | ddrmn654 remaindernear 0 1 -> 0 |
| 375 | ddrmn655 remaindernear -0 1 -> -0 |
| 376 | ddrmn656 remaindernear 0 -1 -> 0 |
| 377 | ddrmn657 remaindernear -0 -1 -> -0 |
| 378 | ddrmn658 remaindernear 0.00 1 -> 0.00 |
| 379 | ddrmn659 remaindernear -0.00 1 -> -0.00 |
| 380 | |
| 381 | -- Specials |
| 382 | ddrmn680 remaindernear Inf -Inf -> NaN Invalid_operation |
| 383 | ddrmn681 remaindernear Inf -1000 -> NaN Invalid_operation |
| 384 | ddrmn682 remaindernear Inf -1 -> NaN Invalid_operation |
| 385 | ddrmn683 remaindernear Inf 0 -> NaN Invalid_operation |
| 386 | ddrmn684 remaindernear Inf -0 -> NaN Invalid_operation |
| 387 | ddrmn685 remaindernear Inf 1 -> NaN Invalid_operation |
| 388 | ddrmn686 remaindernear Inf 1000 -> NaN Invalid_operation |
| 389 | ddrmn687 remaindernear Inf Inf -> NaN Invalid_operation |
| 390 | ddrmn688 remaindernear -1000 Inf -> -1000 |
| 391 | ddrmn689 remaindernear -Inf Inf -> NaN Invalid_operation |
| 392 | ddrmn691 remaindernear -1 Inf -> -1 |
| 393 | ddrmn692 remaindernear 0 Inf -> 0 |
| 394 | ddrmn693 remaindernear -0 Inf -> -0 |
| 395 | ddrmn694 remaindernear 1 Inf -> 1 |
| 396 | ddrmn695 remaindernear 1000 Inf -> 1000 |
| 397 | ddrmn696 remaindernear Inf Inf -> NaN Invalid_operation |
| 398 | |
| 399 | ddrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation |
| 400 | ddrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation |
| 401 | ddrmn702 remaindernear -Inf -1 -> NaN Invalid_operation |
| 402 | ddrmn703 remaindernear -Inf -0 -> NaN Invalid_operation |
| 403 | ddrmn704 remaindernear -Inf 0 -> NaN Invalid_operation |
| 404 | ddrmn705 remaindernear -Inf 1 -> NaN Invalid_operation |
| 405 | ddrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation |
| 406 | ddrmn707 remaindernear -Inf Inf -> NaN Invalid_operation |
| 407 | ddrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation |
| 408 | ddrmn709 remaindernear -1000 Inf -> -1000 |
| 409 | ddrmn710 remaindernear -1 -Inf -> -1 |
| 410 | ddrmn711 remaindernear -0 -Inf -> -0 |
| 411 | ddrmn712 remaindernear 0 -Inf -> 0 |
| 412 | ddrmn713 remaindernear 1 -Inf -> 1 |
| 413 | ddrmn714 remaindernear 1000 -Inf -> 1000 |
| 414 | ddrmn715 remaindernear Inf -Inf -> NaN Invalid_operation |
| 415 | |
| 416 | ddrmn721 remaindernear NaN -Inf -> NaN |
| 417 | ddrmn722 remaindernear NaN -1000 -> NaN |
| 418 | ddrmn723 remaindernear NaN -1 -> NaN |
| 419 | ddrmn724 remaindernear NaN -0 -> NaN |
| 420 | ddrmn725 remaindernear -NaN 0 -> -NaN |
| 421 | ddrmn726 remaindernear NaN 1 -> NaN |
| 422 | ddrmn727 remaindernear NaN 1000 -> NaN |
| 423 | ddrmn728 remaindernear NaN Inf -> NaN |
| 424 | ddrmn729 remaindernear NaN -NaN -> NaN |
| 425 | ddrmn730 remaindernear -Inf NaN -> NaN |
| 426 | ddrmn731 remaindernear -1000 NaN -> NaN |
| 427 | ddrmn732 remaindernear -1 NaN -> NaN |
| 428 | ddrmn733 remaindernear -0 -NaN -> -NaN |
| 429 | ddrmn734 remaindernear 0 NaN -> NaN |
| 430 | ddrmn735 remaindernear 1 -NaN -> -NaN |
| 431 | ddrmn736 remaindernear 1000 NaN -> NaN |
| 432 | ddrmn737 remaindernear Inf NaN -> NaN |
| 433 | |
| 434 | ddrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation |
| 435 | ddrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation |
| 436 | ddrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation |
| 437 | ddrmn744 remaindernear sNaN -0 -> NaN Invalid_operation |
| 438 | ddrmn745 remaindernear sNaN 0 -> NaN Invalid_operation |
| 439 | ddrmn746 remaindernear sNaN 1 -> NaN Invalid_operation |
| 440 | ddrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation |
| 441 | ddrmn749 remaindernear sNaN NaN -> NaN Invalid_operation |
| 442 | ddrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation |
| 443 | ddrmn751 remaindernear NaN sNaN -> NaN Invalid_operation |
| 444 | ddrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation |
| 445 | ddrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation |
| 446 | ddrmn754 remaindernear -1 sNaN -> NaN Invalid_operation |
| 447 | ddrmn755 remaindernear -0 sNaN -> NaN Invalid_operation |
| 448 | ddrmn756 remaindernear 0 sNaN -> NaN Invalid_operation |
| 449 | ddrmn757 remaindernear 1 sNaN -> NaN Invalid_operation |
| 450 | ddrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation |
| 451 | ddrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation |
| 452 | |
| 453 | -- propaging NaNs |
| 454 | ddrmn760 remaindernear NaN1 NaN7 -> NaN1 |
| 455 | ddrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation |
| 456 | ddrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation |
| 457 | ddrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation |
| 458 | ddrmn764 remaindernear 15 NaN11 -> NaN11 |
| 459 | ddrmn765 remaindernear NaN6 NaN12 -> NaN6 |
| 460 | ddrmn766 remaindernear Inf NaN13 -> NaN13 |
| 461 | ddrmn767 remaindernear NaN14 -Inf -> NaN14 |
| 462 | ddrmn768 remaindernear 0 NaN15 -> NaN15 |
| 463 | ddrmn769 remaindernear NaN16 -0 -> NaN16 |
| 464 | |
| 465 | -- edge cases of impossible |
| 466 | ddrmn770 remaindernear 1234567890123456 10 -> -4 |
| 467 | ddrmn771 remaindernear 1234567890123456 1 -> 0 |
| 468 | ddrmn772 remaindernear 1234567890123456 0.1 -> NaN Division_impossible |
| 469 | ddrmn773 remaindernear 1234567890123456 0.01 -> NaN Division_impossible |
| 470 | |
| 471 | -- long operand checks |
| 472 | ddrmn801 remaindernear 12345678000 100 -> 0 |
| 473 | ddrmn802 remaindernear 1 12345678000 -> 1 |
| 474 | ddrmn803 remaindernear 1234567800 10 -> 0 |
| 475 | ddrmn804 remaindernear 1 1234567800 -> 1 |
| 476 | ddrmn805 remaindernear 1234567890 10 -> 0 |
| 477 | ddrmn806 remaindernear 1 1234567890 -> 1 |
| 478 | ddrmn807 remaindernear 1234567891 10 -> 1 |
| 479 | ddrmn808 remaindernear 1 1234567891 -> 1 |
| 480 | ddrmn809 remaindernear 12345678901 100 -> 1 |
| 481 | ddrmn810 remaindernear 1 12345678901 -> 1 |
| 482 | ddrmn811 remaindernear 1234567896 10 -> -4 |
| 483 | ddrmn812 remaindernear 1 1234567896 -> 1 |
| 484 | |
| 485 | ddrmn821 remaindernear 12345678000 100 -> 0 |
| 486 | ddrmn822 remaindernear 1 12345678000 -> 1 |
| 487 | ddrmn823 remaindernear 1234567800 10 -> 0 |
| 488 | ddrmn824 remaindernear 1 1234567800 -> 1 |
| 489 | ddrmn825 remaindernear 1234567890 10 -> 0 |
| 490 | ddrmn826 remaindernear 1 1234567890 -> 1 |
| 491 | ddrmn827 remaindernear 1234567891 10 -> 1 |
| 492 | ddrmn828 remaindernear 1 1234567891 -> 1 |
| 493 | ddrmn829 remaindernear 12345678901 100 -> 1 |
| 494 | ddrmn830 remaindernear 1 12345678901 -> 1 |
| 495 | ddrmn831 remaindernear 1234567896 10 -> -4 |
| 496 | ddrmn832 remaindernear 1 1234567896 -> 1 |
| 497 | |
| 498 | -- from divideint |
| 499 | ddrmn840 remaindernear 100000000.0 1 -> 0.0 |
| 500 | ddrmn841 remaindernear 100000000.4 1 -> 0.4 |
| 501 | ddrmn842 remaindernear 100000000.5 1 -> 0.5 |
| 502 | ddrmn843 remaindernear 100000000.9 1 -> -0.1 |
| 503 | ddrmn844 remaindernear 100000000.999 1 -> -0.001 |
| 504 | ddrmn850 remaindernear 100000003 5 -> -2 |
| 505 | ddrmn851 remaindernear 10000003 5 -> -2 |
| 506 | ddrmn852 remaindernear 1000003 5 -> -2 |
| 507 | ddrmn853 remaindernear 100003 5 -> -2 |
| 508 | ddrmn854 remaindernear 10003 5 -> -2 |
| 509 | ddrmn855 remaindernear 1003 5 -> -2 |
| 510 | ddrmn856 remaindernear 103 5 -> -2 |
| 511 | ddrmn857 remaindernear 13 5 -> -2 |
| 512 | ddrmn858 remaindernear 1 5 -> 1 |
| 513 | |
| 514 | -- Vladimir's cases 1234567890123456 |
| 515 | ddrmn860 remaindernear 123.0e1 1000000000000000 -> 1230 |
| 516 | ddrmn861 remaindernear 1230 1000000000000000 -> 1230 |
| 517 | ddrmn862 remaindernear 12.3e2 1000000000000000 -> 1230 |
| 518 | ddrmn863 remaindernear 1.23e3 1000000000000000 -> 1230 |
| 519 | ddrmn864 remaindernear 123e1 1000000000000000 -> 1230 |
| 520 | ddrmn870 remaindernear 123e1 1000000000000000 -> 1230 |
| 521 | ddrmn871 remaindernear 123e1 100000000000000 -> 1230 |
| 522 | ddrmn872 remaindernear 123e1 10000000000000 -> 1230 |
| 523 | ddrmn873 remaindernear 123e1 1000000000000 -> 1230 |
| 524 | ddrmn874 remaindernear 123e1 100000000000 -> 1230 |
| 525 | ddrmn875 remaindernear 123e1 10000000000 -> 1230 |
| 526 | ddrmn876 remaindernear 123e1 1000000000 -> 1230 |
| 527 | ddrmn877 remaindernear 123e1 100000000 -> 1230 |
| 528 | ddrmn878 remaindernear 1230 100000000 -> 1230 |
| 529 | ddrmn879 remaindernear 123e1 10000000 -> 1230 |
| 530 | ddrmn880 remaindernear 123e1 1000000 -> 1230 |
| 531 | ddrmn881 remaindernear 123e1 100000 -> 1230 |
| 532 | ddrmn882 remaindernear 123e1 10000 -> 1230 |
| 533 | ddrmn883 remaindernear 123e1 1000 -> 230 |
| 534 | ddrmn884 remaindernear 123e1 100 -> 30 |
| 535 | ddrmn885 remaindernear 123e1 10 -> 0 |
| 536 | ddrmn886 remaindernear 123e1 1 -> 0 |
| 537 | |
| 538 | ddrmn890 remaindernear 123e1 2000000000000000 -> 1230 |
| 539 | ddrmn891 remaindernear 123e1 200000000000000 -> 1230 |
| 540 | ddrmn892 remaindernear 123e1 20000000000000 -> 1230 |
| 541 | ddrmn893 remaindernear 123e1 2000000000000 -> 1230 |
| 542 | ddrmn894 remaindernear 123e1 200000000000 -> 1230 |
| 543 | ddrmn895 remaindernear 123e1 20000000000 -> 1230 |
| 544 | ddrmn896 remaindernear 123e1 2000000000 -> 1230 |
| 545 | ddrmn897 remaindernear 123e1 200000000 -> 1230 |
| 546 | ddrmn899 remaindernear 123e1 20000000 -> 1230 |
| 547 | ddrmn900 remaindernear 123e1 2000000 -> 1230 |
| 548 | ddrmn901 remaindernear 123e1 200000 -> 1230 |
| 549 | ddrmn902 remaindernear 123e1 20000 -> 1230 |
| 550 | ddrmn903 remaindernear 123e1 2000 -> -770 |
| 551 | ddrmn904 remaindernear 123e1 200 -> 30 |
| 552 | ddrmn905 remaindernear 123e1 20 -> -10 |
| 553 | ddrmn906 remaindernear 123e1 2 -> 0 |
| 554 | |
| 555 | ddrmn910 remaindernear 123e1 5000000000000000 -> 1230 |
| 556 | ddrmn911 remaindernear 123e1 500000000000000 -> 1230 |
| 557 | ddrmn912 remaindernear 123e1 50000000000000 -> 1230 |
| 558 | ddrmn913 remaindernear 123e1 5000000000000 -> 1230 |
| 559 | ddrmn914 remaindernear 123e1 500000000000 -> 1230 |
| 560 | ddrmn915 remaindernear 123e1 50000000000 -> 1230 |
| 561 | ddrmn916 remaindernear 123e1 5000000000 -> 1230 |
| 562 | ddrmn917 remaindernear 123e1 500000000 -> 1230 |
| 563 | ddrmn919 remaindernear 123e1 50000000 -> 1230 |
| 564 | ddrmn920 remaindernear 123e1 5000000 -> 1230 |
| 565 | ddrmn921 remaindernear 123e1 500000 -> 1230 |
| 566 | ddrmn922 remaindernear 123e1 50000 -> 1230 |
| 567 | ddrmn923 remaindernear 123e1 5000 -> 1230 |
| 568 | ddrmn924 remaindernear 123e1 500 -> 230 |
| 569 | ddrmn925 remaindernear 123e1 50 -> -20 |
| 570 | ddrmn926 remaindernear 123e1 5 -> 0 |
| 571 | |
| 572 | ddrmn930 remaindernear 123e1 9000000000000000 -> 1230 |
| 573 | ddrmn931 remaindernear 123e1 900000000000000 -> 1230 |
| 574 | ddrmn932 remaindernear 123e1 90000000000000 -> 1230 |
| 575 | ddrmn933 remaindernear 123e1 9000000000000 -> 1230 |
| 576 | ddrmn934 remaindernear 123e1 900000000000 -> 1230 |
| 577 | ddrmn935 remaindernear 123e1 90000000000 -> 1230 |
| 578 | ddrmn936 remaindernear 123e1 9000000000 -> 1230 |
| 579 | ddrmn937 remaindernear 123e1 900000000 -> 1230 |
| 580 | ddrmn939 remaindernear 123e1 90000000 -> 1230 |
| 581 | ddrmn940 remaindernear 123e1 9000000 -> 1230 |
| 582 | ddrmn941 remaindernear 123e1 900000 -> 1230 |
| 583 | ddrmn942 remaindernear 123e1 90000 -> 1230 |
| 584 | ddrmn943 remaindernear 123e1 9000 -> 1230 |
| 585 | ddrmn944 remaindernear 123e1 900 -> 330 |
| 586 | ddrmn945 remaindernear 123e1 90 -> -30 |
| 587 | ddrmn946 remaindernear 123e1 9 -> -3 |
| 588 | |
| 589 | ddrmn950 remaindernear 123e1 1000000000000000 -> 1230 |
| 590 | ddrmn961 remaindernear 123e1 2999999999999999 -> 1230 |
| 591 | ddrmn962 remaindernear 123e1 3999999999999999 -> 1230 |
| 592 | ddrmn963 remaindernear 123e1 4999999999999999 -> 1230 |
| 593 | ddrmn964 remaindernear 123e1 5999999999999999 -> 1230 |
| 594 | ddrmn965 remaindernear 123e1 6999999999999999 -> 1230 |
| 595 | ddrmn966 remaindernear 123e1 7999999999999999 -> 1230 |
| 596 | ddrmn967 remaindernear 123e1 8999999999999999 -> 1230 |
| 597 | ddrmn968 remaindernear 123e1 9999999999999999 -> 1230 |
| 598 | ddrmn969 remaindernear 123e1 9876543210987654 -> 1230 |
| 599 | |
| 600 | ddrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally |
| 601 | |
| 602 | |
| 603 | -- overflow and underflow tests [from divide] |
| 604 | ddrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible |
| 605 | ddrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible |
| 606 | ddrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible |
| 607 | ddrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible |
| 608 | ddrmn1055 remaindernear 1e-277 1e+311 -> 1E-277 |
| 609 | ddrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277 |
| 610 | ddrmn1057 remaindernear -1e-277 1e+311 -> -1E-277 |
| 611 | ddrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277 |
| 612 | |
| 613 | -- destructive subtract |
| 614 | ddrmn1100 remainderNear 1234567890123456 1.000000000000001 -> -0.234567890123455 |
| 615 | ddrmn1101 remainderNear 1234567890123456 1.00000000000001 -> -0.34567890123444 |
| 616 | ddrmn1102 remainderNear 1234567890123456 1.0000000000001 -> -0.4567890123333 |
| 617 | ddrmn1103 remainderNear 1234567890123455 4.000000000000001 -> -1.308641972530864 |
| 618 | ddrmn1104 remainderNear 1234567890123456 4.000000000000001 -> -0.308641972530864 |
| 619 | ddrmn1115 remainderNear 1234567890123456 4.9999999999999 -> 0.6913578024696 |
| 620 | ddrmn1116 remainderNear 1234567890123456 4.99999999999999 -> -1.53086421975308 |
| 621 | ddrmn1117 remainderNear 1234567890123456 4.999999999999999 -> 1.246913578024691 |
| 622 | ddrmn1118 remainderNear 1234567890123456 5.000000000000001 -> 0.753086421975309 |
| 623 | ddrmn1119 remainderNear 1234567890123456 5.00000000000001 -> -1.46913578024691 |
| 624 | ddrmn1110 remainderNear 1234567890123456 5.0000000000001 -> 1.3086421975314 |
| 625 | |
| 626 | -- Null tests |
| 627 | ddrmn1000 remaindernear 10 # -> NaN Invalid_operation |
| 628 | ddrmn1001 remaindernear # 10 -> NaN Invalid_operation |
| 629 | |