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 (a] 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 629 630
