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------------------------------------------------------------------------ 20version: 2.59 21 22precision: 16 23maxExponent: 384 24minExponent: -383 25extended: 1 26clamp: 1 27rounding: half_even 28 29-- sanity checks (as base, above) 30ddrmn001 remaindernear 1 1 -> 0 31ddrmn002 remaindernear 2 1 -> 0 32ddrmn003 remaindernear 1 2 -> 1 33ddrmn004 remaindernear 2 2 -> 0 34ddrmn005 remaindernear 0 1 -> 0 35ddrmn006 remaindernear 0 2 -> 0 36ddrmn007 remaindernear 1 3 -> 1 37ddrmn008 remaindernear 2 3 -> -1 38ddrmn009 remaindernear 3 3 -> 0 39 40ddrmn010 remaindernear 2.4 1 -> 0.4 41ddrmn011 remaindernear 2.4 -1 -> 0.4 42ddrmn012 remaindernear -2.4 1 -> -0.4 43ddrmn013 remaindernear -2.4 -1 -> -0.4 44ddrmn014 remaindernear 2.40 1 -> 0.40 45ddrmn015 remaindernear 2.400 1 -> 0.400 46ddrmn016 remaindernear 2.4 2 -> 0.4 47ddrmn017 remaindernear 2.400 2 -> 0.400 48ddrmn018 remaindernear 2. 2 -> 0 49ddrmn019 remaindernear 20 20 -> 0 50 51ddrmn020 remaindernear 187 187 -> 0 52ddrmn021 remaindernear 5 2 -> 1 53ddrmn022 remaindernear 5 2.0 -> 1.0 54ddrmn023 remaindernear 5 2.000 -> 1.000 55ddrmn024 remaindernear 5 0.200 -> 0.000 56ddrmn025 remaindernear 5 0.200 -> 0.000 57 58ddrmn030 remaindernear 1 2 -> 1 59ddrmn031 remaindernear 1 4 -> 1 60ddrmn032 remaindernear 1 8 -> 1 61 62ddrmn033 remaindernear 1 16 -> 1 63ddrmn034 remaindernear 1 32 -> 1 64ddrmn035 remaindernear 1 64 -> 1 65ddrmn040 remaindernear 1 -2 -> 1 66ddrmn041 remaindernear 1 -4 -> 1 67ddrmn042 remaindernear 1 -8 -> 1 68ddrmn043 remaindernear 1 -16 -> 1 69ddrmn044 remaindernear 1 -32 -> 1 70ddrmn045 remaindernear 1 -64 -> 1 71ddrmn050 remaindernear -1 2 -> -1 72ddrmn051 remaindernear -1 4 -> -1 73ddrmn052 remaindernear -1 8 -> -1 74ddrmn053 remaindernear -1 16 -> -1 75ddrmn054 remaindernear -1 32 -> -1 76ddrmn055 remaindernear -1 64 -> -1 77ddrmn060 remaindernear -1 -2 -> -1 78ddrmn061 remaindernear -1 -4 -> -1 79ddrmn062 remaindernear -1 -8 -> -1 80ddrmn063 remaindernear -1 -16 -> -1 81ddrmn064 remaindernear -1 -32 -> -1 82ddrmn065 remaindernear -1 -64 -> -1 83 84ddrmn066 remaindernear 9.9 1 -> -0.1 85ddrmn067 remaindernear 99.7 1 -> -0.3 86ddrmn068 remaindernear 999999999 1 -> 0 87ddrmn069 remaindernear 999999999.4 1 -> 0.4 88ddrmn070 remaindernear 999999999.5 1 -> -0.5 89ddrmn071 remaindernear 999999999.9 1 -> -0.1 90ddrmn072 remaindernear 999999999.999 1 -> -0.001 91ddrmn073 remaindernear 999999.999999 1 -> -0.000001 92ddrmn074 remaindernear 9 1 -> 0 93ddrmn075 remaindernear 9999999999999999 1 -> 0 94ddrmn076 remaindernear 9999999999999999 2 -> -1 95ddrmn077 remaindernear 9999999999999999 3 -> 0 96ddrmn078 remaindernear 9999999999999999 4 -> -1 97 98ddrmn080 remaindernear 0. 1 -> 0 99ddrmn081 remaindernear .0 1 -> 0.0 100ddrmn082 remaindernear 0.00 1 -> 0.00 101ddrmn083 remaindernear 0.00E+9 1 -> 0 102ddrmn084 remaindernear 0.00E+3 1 -> 0 103ddrmn085 remaindernear 0.00E+2 1 -> 0 104ddrmn086 remaindernear 0.00E+1 1 -> 0.0 105ddrmn087 remaindernear 0.00E+0 1 -> 0.00 106ddrmn088 remaindernear 0.00E-0 1 -> 0.00 107ddrmn089 remaindernear 0.00E-1 1 -> 0.000 108ddrmn090 remaindernear 0.00E-2 1 -> 0.0000 109ddrmn091 remaindernear 0.00E-3 1 -> 0.00000 110ddrmn092 remaindernear 0.00E-4 1 -> 0.000000 111ddrmn093 remaindernear 0.00E-5 1 -> 0E-7 112ddrmn094 remaindernear 0.00E-6 1 -> 0E-8 113ddrmn095 remaindernear 0.0000E-50 1 -> 0E-54 114 115-- Various flavours of remaindernear by 0 116ddrmn101 remaindernear 0 0 -> NaN Division_undefined 117ddrmn102 remaindernear 0 -0 -> NaN Division_undefined 118ddrmn103 remaindernear -0 0 -> NaN Division_undefined 119ddrmn104 remaindernear -0 -0 -> NaN Division_undefined 120ddrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined 121ddrmn106 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] 125ddrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation 126ddrmn108 remaindernear 0.01 0 -> NaN Invalid_operation 127ddrmn109 remaindernear 0.1 0 -> NaN Invalid_operation 128ddrmn110 remaindernear 1 0 -> NaN Invalid_operation 129ddrmn111 remaindernear 1 0.0 -> NaN Invalid_operation 130ddrmn112 remaindernear 10 0.0 -> NaN Invalid_operation 131ddrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation 132ddrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation 133ddrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation 134ddrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation 135ddrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation 136ddrmn120 remaindernear 1 -0 -> NaN Invalid_operation 137ddrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation 138ddrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation 139ddrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation 140ddrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation 141-- and zeros on left 142ddrmn130 remaindernear 0 1 -> 0 143ddrmn131 remaindernear 0 -1 -> 0 144ddrmn132 remaindernear 0.0 1 -> 0.0 145ddrmn133 remaindernear 0.0 -1 -> 0.0 146ddrmn134 remaindernear -0 1 -> -0 147ddrmn135 remaindernear -0 -1 -> -0 148ddrmn136 remaindernear -0.0 1 -> -0.0 149ddrmn137 remaindernear -0.0 -1 -> -0.0 150 151-- 0.5ers 152ddrmn143 remaindernear 0.5 2 -> 0.5 153ddrmn144 remaindernear 0.5 2.1 -> 0.5 154ddrmn145 remaindernear 0.5 2.01 -> 0.50 155ddrmn146 remaindernear 0.5 2.001 -> 0.500 156ddrmn147 remaindernear 0.50 2 -> 0.50 157ddrmn148 remaindernear 0.50 2.01 -> 0.50 158ddrmn149 remaindernear 0.50 2.001 -> 0.500 159 160-- steadies 161ddrmn150 remaindernear 1 1 -> 0 162ddrmn151 remaindernear 1 2 -> 1 163ddrmn152 remaindernear 1 3 -> 1 164ddrmn153 remaindernear 1 4 -> 1 165ddrmn154 remaindernear 1 5 -> 1 166ddrmn155 remaindernear 1 6 -> 1 167ddrmn156 remaindernear 1 7 -> 1 168ddrmn157 remaindernear 1 8 -> 1 169ddrmn158 remaindernear 1 9 -> 1 170ddrmn159 remaindernear 1 10 -> 1 171ddrmn160 remaindernear 1 1 -> 0 172ddrmn161 remaindernear 2 1 -> 0 173ddrmn162 remaindernear 3 1 -> 0 174ddrmn163 remaindernear 4 1 -> 0 175ddrmn164 remaindernear 5 1 -> 0 176ddrmn165 remaindernear 6 1 -> 0 177ddrmn166 remaindernear 7 1 -> 0 178ddrmn167 remaindernear 8 1 -> 0 179ddrmn168 remaindernear 9 1 -> 0 180ddrmn169 remaindernear 10 1 -> 0 181 182-- some differences from remainder 183ddrmn171 remaindernear 0.4 1.020 -> 0.400 184ddrmn172 remaindernear 0.50 1.020 -> 0.500 185ddrmn173 remaindernear 0.51 1.020 -> 0.510 186ddrmn174 remaindernear 0.52 1.020 -> -0.500 187ddrmn175 remaindernear 0.6 1.020 -> -0.420 188 189-- More flavours of remaindernear by 0 190ddrmn201 remaindernear 0 0 -> NaN Division_undefined 191ddrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined 192ddrmn203 remaindernear 0.000 0 -> NaN Division_undefined 193ddrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation 194ddrmn205 remaindernear 0.01 0 -> NaN Invalid_operation 195ddrmn206 remaindernear 0.1 0 -> NaN Invalid_operation 196ddrmn207 remaindernear 1 0 -> NaN Invalid_operation 197ddrmn208 remaindernear 1 0.0 -> NaN Invalid_operation 198ddrmn209 remaindernear 10 0.0 -> NaN Invalid_operation 199ddrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation 200ddrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation 201 202-- tests from the extended specification 203ddrmn221 remaindernear 2.1 3 -> -0.9 204ddrmn222 remaindernear 10 6 -> -2 205ddrmn223 remaindernear 10 3 -> 1 206ddrmn224 remaindernear -10 3 -> -1 207ddrmn225 remaindernear 10.2 1 -> 0.2 208ddrmn226 remaindernear 10 0.3 -> 0.1 209ddrmn227 remaindernear 3.6 1.3 -> -0.3 210 211-- some differences from remainder 212ddrmn231 remaindernear -0.4 1.020 -> -0.400 213ddrmn232 remaindernear -0.50 1.020 -> -0.500 214ddrmn233 remaindernear -0.51 1.020 -> -0.510 215ddrmn234 remaindernear -0.52 1.020 -> 0.500 216ddrmn235 remaindernear -0.6 1.020 -> 0.420 217 218-- high Xs 219ddrmn240 remaindernear 1E+2 1.00 -> 0.00 220 221-- ddrmn3xx are from DiagBigDecimal 222ddrmn301 remaindernear 1 3 -> 1 223ddrmn302 remaindernear 5 5 -> 0 224ddrmn303 remaindernear 13 10 -> 3 225ddrmn304 remaindernear 13 50 -> 13 226ddrmn305 remaindernear 13 100 -> 13 227ddrmn306 remaindernear 13 1000 -> 13 228ddrmn307 remaindernear .13 1 -> 0.13 229ddrmn308 remaindernear 0.133 1 -> 0.133 230ddrmn309 remaindernear 0.1033 1 -> 0.1033 231ddrmn310 remaindernear 1.033 1 -> 0.033 232ddrmn311 remaindernear 10.33 1 -> 0.33 233ddrmn312 remaindernear 10.33 10 -> 0.33 234ddrmn313 remaindernear 103.3 1 -> 0.3 235ddrmn314 remaindernear 133 10 -> 3 236ddrmn315 remaindernear 1033 10 -> 3 237ddrmn316 remaindernear 1033 50 -> -17 238ddrmn317 remaindernear 101.0 3 -> -1.0 239ddrmn318 remaindernear 102.0 3 -> 0.0 240ddrmn319 remaindernear 103.0 3 -> 1.0 241ddrmn320 remaindernear 2.40 1 -> 0.40 242ddrmn321 remaindernear 2.400 1 -> 0.400 243ddrmn322 remaindernear 2.4 1 -> 0.4 244ddrmn323 remaindernear 2.4 2 -> 0.4 245ddrmn324 remaindernear 2.400 2 -> 0.400 246ddrmn325 remaindernear 1 0.3 -> 0.1 247ddrmn326 remaindernear 1 0.30 -> 0.10 248ddrmn327 remaindernear 1 0.300 -> 0.100 249ddrmn328 remaindernear 1 0.3000 -> 0.1000 250ddrmn329 remaindernear 1.0 0.3 -> 0.1 251ddrmn330 remaindernear 1.00 0.3 -> 0.10 252ddrmn331 remaindernear 1.000 0.3 -> 0.100 253ddrmn332 remaindernear 1.0000 0.3 -> 0.1000 254ddrmn333 remaindernear 0.5 2 -> 0.5 255ddrmn334 remaindernear 0.5 2.1 -> 0.5 256ddrmn335 remaindernear 0.5 2.01 -> 0.50 257ddrmn336 remaindernear 0.5 2.001 -> 0.500 258ddrmn337 remaindernear 0.50 2 -> 0.50 259ddrmn338 remaindernear 0.50 2.01 -> 0.50 260ddrmn339 remaindernear 0.50 2.001 -> 0.500 261 262ddrmn340 remaindernear 0.5 0.5000001 -> -1E-7 263ddrmn341 remaindernear 0.5 0.50000001 -> -1E-8 264ddrmn342 remaindernear 0.5 0.500000001 -> -1E-9 265ddrmn343 remaindernear 0.5 0.5000000001 -> -1E-10 266ddrmn344 remaindernear 0.5 0.50000000001 -> -1E-11 267ddrmn345 remaindernear 0.5 0.4999999 -> 1E-7 268ddrmn346 remaindernear 0.5 0.49999999 -> 1E-8 269ddrmn347 remaindernear 0.5 0.499999999 -> 1E-9 270ddrmn348 remaindernear 0.5 0.4999999999 -> 1E-10 271ddrmn349 remaindernear 0.5 0.49999999999 -> 1E-11 272ddrmn350 remaindernear 0.5 0.499999999999 -> 1E-12 273 274ddrmn351 remaindernear 0.03 7 -> 0.03 275ddrmn352 remaindernear 5 2 -> 1 276ddrmn353 remaindernear 4.1 2 -> 0.1 277ddrmn354 remaindernear 4.01 2 -> 0.01 278ddrmn355 remaindernear 4.001 2 -> 0.001 279ddrmn356 remaindernear 4.0001 2 -> 0.0001 280ddrmn357 remaindernear 4.00001 2 -> 0.00001 281ddrmn358 remaindernear 4.000001 2 -> 0.000001 282ddrmn359 remaindernear 4.0000001 2 -> 1E-7 283 284ddrmn360 remaindernear 1.2 0.7345 -> -0.2690 285ddrmn361 remaindernear 0.8 12 -> 0.8 286ddrmn362 remaindernear 0.8 0.2 -> 0.0 287ddrmn363 remaindernear 0.8 0.3 -> -0.1 288ddrmn364 remaindernear 0.800 12 -> 0.800 289ddrmn365 remaindernear 0.800 1.7 -> 0.800 290ddrmn366 remaindernear 2.400 2 -> 0.400 291 292-- round to even 293ddrmn371 remaindernear 121 2 -> 1 294ddrmn372 remaindernear 122 2 -> 0 295ddrmn373 remaindernear 123 2 -> -1 296ddrmn374 remaindernear 124 2 -> 0 297ddrmn375 remaindernear 125 2 -> 1 298ddrmn376 remaindernear 126 2 -> 0 299ddrmn377 remaindernear 127 2 -> -1 300 301ddrmn381 remaindernear 12345 1 -> 0 302ddrmn382 remaindernear 12345 1.0001 -> -0.2344 303ddrmn383 remaindernear 12345 1.001 -> -0.333 304ddrmn384 remaindernear 12345 1.01 -> -0.23 305ddrmn385 remaindernear 12345 1.1 -> -0.3 306ddrmn386 remaindernear 12355 4 -> -1 307ddrmn387 remaindernear 12345 4 -> 1 308ddrmn388 remaindernear 12355 4.0001 -> -1.3089 309ddrmn389 remaindernear 12345 4.0001 -> 0.6914 310ddrmn390 remaindernear 12345 4.9 -> 1.9 311ddrmn391 remaindernear 12345 4.99 -> -0.26 312ddrmn392 remaindernear 12345 4.999 -> 2.469 313ddrmn393 remaindernear 12345 4.9999 -> 0.2469 314ddrmn394 remaindernear 12345 5 -> 0 315ddrmn395 remaindernear 12345 5.0001 -> -0.2469 316ddrmn396 remaindernear 12345 5.001 -> -2.469 317ddrmn397 remaindernear 12345 5.01 -> 0.36 318ddrmn398 remaindernear 12345 5.1 -> -2.1 319 320-- the nasty division-by-1 cases 321ddrmn401 remaindernear 0.4 1 -> 0.4 322ddrmn402 remaindernear 0.45 1 -> 0.45 323ddrmn403 remaindernear 0.455 1 -> 0.455 324ddrmn404 remaindernear 0.4555 1 -> 0.4555 325ddrmn405 remaindernear 0.45555 1 -> 0.45555 326ddrmn406 remaindernear 0.455555 1 -> 0.455555 327ddrmn407 remaindernear 0.4555555 1 -> 0.4555555 328ddrmn408 remaindernear 0.45555555 1 -> 0.45555555 329ddrmn409 remaindernear 0.455555555 1 -> 0.455555555 330-- with spill... [412 exercises sticktab loop] 331ddrmn411 remaindernear 0.5 1 -> 0.5 332ddrmn412 remaindernear 0.55 1 -> -0.45 333ddrmn413 remaindernear 0.555 1 -> -0.445 334ddrmn414 remaindernear 0.5555 1 -> -0.4445 335ddrmn415 remaindernear 0.55555 1 -> -0.44445 336ddrmn416 remaindernear 0.555555 1 -> -0.444445 337ddrmn417 remaindernear 0.5555555 1 -> -0.4444445 338ddrmn418 remaindernear 0.55555555 1 -> -0.44444445 339ddrmn419 remaindernear 0.555555555 1 -> -0.444444445 340 341-- folddowns 342ddrmn421 remaindernear 1E+384 1 -> NaN Division_impossible 343ddrmn422 remaindernear 1E+384 1E+383 -> 0E+369 Clamped 344ddrmn423 remaindernear 1E+384 2E+383 -> 0E+369 Clamped 345ddrmn424 remaindernear 1E+384 3E+383 -> 1.00000000000000E+383 Clamped 346ddrmn425 remaindernear 1E+384 4E+383 -> 2.00000000000000E+383 Clamped 347ddrmn426 remaindernear 1E+384 5E+383 -> 0E+369 Clamped 348ddrmn427 remaindernear 1E+384 6E+383 -> -2.00000000000000E+383 Clamped 349ddrmn428 remaindernear 1E+384 7E+383 -> 3.00000000000000E+383 Clamped 350ddrmn429 remaindernear 1E+384 8E+383 -> 2.00000000000000E+383 Clamped 351ddrmn430 remaindernear 1E+384 9E+383 -> 1.00000000000000E+383 Clamped 352-- tinies 353ddrmn431 remaindernear 1E-397 1E-398 -> 0E-398 354ddrmn432 remaindernear 1E-397 2E-398 -> 0E-398 355ddrmn433 remaindernear 1E-397 3E-398 -> 1E-398 Subnormal 356ddrmn434 remaindernear 1E-397 4E-398 -> 2E-398 Subnormal 357ddrmn435 remaindernear 1E-397 5E-398 -> 0E-398 358ddrmn436 remaindernear 1E-397 6E-398 -> -2E-398 Subnormal 359ddrmn437 remaindernear 1E-397 7E-398 -> 3E-398 Subnormal 360ddrmn438 remaindernear 1E-397 8E-398 -> 2E-398 Subnormal 361ddrmn439 remaindernear 1E-397 9E-398 -> 1E-398 Subnormal 362ddrmn440 remaindernear 1E-397 10E-398 -> 0E-398 363ddrmn441 remaindernear 1E-397 11E-398 -> -1E-398 Subnormal 364ddrmn442 remaindernear 100E-397 11E-398 -> -1E-398 Subnormal 365ddrmn443 remaindernear 100E-397 20E-398 -> 0E-398 366ddrmn444 remaindernear 100E-397 21E-398 -> -8E-398 Subnormal 367ddrmn445 remaindernear 100E-397 30E-398 -> 1.0E-397 Subnormal 368 369-- zero signs 370ddrmn650 remaindernear 1 1 -> 0 371ddrmn651 remaindernear -1 1 -> -0 372ddrmn652 remaindernear 1 -1 -> 0 373ddrmn653 remaindernear -1 -1 -> -0 374ddrmn654 remaindernear 0 1 -> 0 375ddrmn655 remaindernear -0 1 -> -0 376ddrmn656 remaindernear 0 -1 -> 0 377ddrmn657 remaindernear -0 -1 -> -0 378ddrmn658 remaindernear 0.00 1 -> 0.00 379ddrmn659 remaindernear -0.00 1 -> -0.00 380 381-- Specials 382ddrmn680 remaindernear Inf -Inf -> NaN Invalid_operation 383ddrmn681 remaindernear Inf -1000 -> NaN Invalid_operation 384ddrmn682 remaindernear Inf -1 -> NaN Invalid_operation 385ddrmn683 remaindernear Inf 0 -> NaN Invalid_operation 386ddrmn684 remaindernear Inf -0 -> NaN Invalid_operation 387ddrmn685 remaindernear Inf 1 -> NaN Invalid_operation 388ddrmn686 remaindernear Inf 1000 -> NaN Invalid_operation 389ddrmn687 remaindernear Inf Inf -> NaN Invalid_operation 390ddrmn688 remaindernear -1000 Inf -> -1000 391ddrmn689 remaindernear -Inf Inf -> NaN Invalid_operation 392ddrmn691 remaindernear -1 Inf -> -1 393ddrmn692 remaindernear 0 Inf -> 0 394ddrmn693 remaindernear -0 Inf -> -0 395ddrmn694 remaindernear 1 Inf -> 1 396ddrmn695 remaindernear 1000 Inf -> 1000 397ddrmn696 remaindernear Inf Inf -> NaN Invalid_operation 398 399ddrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation 400ddrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation 401ddrmn702 remaindernear -Inf -1 -> NaN Invalid_operation 402ddrmn703 remaindernear -Inf -0 -> NaN Invalid_operation 403ddrmn704 remaindernear -Inf 0 -> NaN Invalid_operation 404ddrmn705 remaindernear -Inf 1 -> NaN Invalid_operation 405ddrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation 406ddrmn707 remaindernear -Inf Inf -> NaN Invalid_operation 407ddrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation 408ddrmn709 remaindernear -1000 Inf -> -1000 409ddrmn710 remaindernear -1 -Inf -> -1 410ddrmn711 remaindernear -0 -Inf -> -0 411ddrmn712 remaindernear 0 -Inf -> 0 412ddrmn713 remaindernear 1 -Inf -> 1 413ddrmn714 remaindernear 1000 -Inf -> 1000 414ddrmn715 remaindernear Inf -Inf -> NaN Invalid_operation 415 416ddrmn721 remaindernear NaN -Inf -> NaN 417ddrmn722 remaindernear NaN -1000 -> NaN 418ddrmn723 remaindernear NaN -1 -> NaN 419ddrmn724 remaindernear NaN -0 -> NaN 420ddrmn725 remaindernear -NaN 0 -> -NaN 421ddrmn726 remaindernear NaN 1 -> NaN 422ddrmn727 remaindernear NaN 1000 -> NaN 423ddrmn728 remaindernear NaN Inf -> NaN 424ddrmn729 remaindernear NaN -NaN -> NaN 425ddrmn730 remaindernear -Inf NaN -> NaN 426ddrmn731 remaindernear -1000 NaN -> NaN 427ddrmn732 remaindernear -1 NaN -> NaN 428ddrmn733 remaindernear -0 -NaN -> -NaN 429ddrmn734 remaindernear 0 NaN -> NaN 430ddrmn735 remaindernear 1 -NaN -> -NaN 431ddrmn736 remaindernear 1000 NaN -> NaN 432ddrmn737 remaindernear Inf NaN -> NaN 433 434ddrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation 435ddrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation 436ddrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation 437ddrmn744 remaindernear sNaN -0 -> NaN Invalid_operation 438ddrmn745 remaindernear sNaN 0 -> NaN Invalid_operation 439ddrmn746 remaindernear sNaN 1 -> NaN Invalid_operation 440ddrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation 441ddrmn749 remaindernear sNaN NaN -> NaN Invalid_operation 442ddrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation 443ddrmn751 remaindernear NaN sNaN -> NaN Invalid_operation 444ddrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation 445ddrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation 446ddrmn754 remaindernear -1 sNaN -> NaN Invalid_operation 447ddrmn755 remaindernear -0 sNaN -> NaN Invalid_operation 448ddrmn756 remaindernear 0 sNaN -> NaN Invalid_operation 449ddrmn757 remaindernear 1 sNaN -> NaN Invalid_operation 450ddrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation 451ddrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation 452 453-- propaging NaNs 454ddrmn760 remaindernear NaN1 NaN7 -> NaN1 455ddrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation 456ddrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation 457ddrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation 458ddrmn764 remaindernear 15 NaN11 -> NaN11 459ddrmn765 remaindernear NaN6 NaN12 -> NaN6 460ddrmn766 remaindernear Inf NaN13 -> NaN13 461ddrmn767 remaindernear NaN14 -Inf -> NaN14 462ddrmn768 remaindernear 0 NaN15 -> NaN15 463ddrmn769 remaindernear NaN16 -0 -> NaN16 464 465-- edge cases of impossible 466ddrmn770 remaindernear 1234567890123456 10 -> -4 467ddrmn771 remaindernear 1234567890123456 1 -> 0 468ddrmn772 remaindernear 1234567890123456 0.1 -> NaN Division_impossible 469ddrmn773 remaindernear 1234567890123456 0.01 -> NaN Division_impossible 470 471-- long operand checks 472ddrmn801 remaindernear 12345678000 100 -> 0 473ddrmn802 remaindernear 1 12345678000 -> 1 474ddrmn803 remaindernear 1234567800 10 -> 0 475ddrmn804 remaindernear 1 1234567800 -> 1 476ddrmn805 remaindernear 1234567890 10 -> 0 477ddrmn806 remaindernear 1 1234567890 -> 1 478ddrmn807 remaindernear 1234567891 10 -> 1 479ddrmn808 remaindernear 1 1234567891 -> 1 480ddrmn809 remaindernear 12345678901 100 -> 1 481ddrmn810 remaindernear 1 12345678901 -> 1 482ddrmn811 remaindernear 1234567896 10 -> -4 483ddrmn812 remaindernear 1 1234567896 -> 1 484 485ddrmn821 remaindernear 12345678000 100 -> 0 486ddrmn822 remaindernear 1 12345678000 -> 1 487ddrmn823 remaindernear 1234567800 10 -> 0 488ddrmn824 remaindernear 1 1234567800 -> 1 489ddrmn825 remaindernear 1234567890 10 -> 0 490ddrmn826 remaindernear 1 1234567890 -> 1 491ddrmn827 remaindernear 1234567891 10 -> 1 492ddrmn828 remaindernear 1 1234567891 -> 1 493ddrmn829 remaindernear 12345678901 100 -> 1 494ddrmn830 remaindernear 1 12345678901 -> 1 495ddrmn831 remaindernear 1234567896 10 -> -4 496ddrmn832 remaindernear 1 1234567896 -> 1 497 498-- from divideint 499ddrmn840 remaindernear 100000000.0 1 -> 0.0 500ddrmn841 remaindernear 100000000.4 1 -> 0.4 501ddrmn842 remaindernear 100000000.5 1 -> 0.5 502ddrmn843 remaindernear 100000000.9 1 -> -0.1 503ddrmn844 remaindernear 100000000.999 1 -> -0.001 504ddrmn850 remaindernear 100000003 5 -> -2 505ddrmn851 remaindernear 10000003 5 -> -2 506ddrmn852 remaindernear 1000003 5 -> -2 507ddrmn853 remaindernear 100003 5 -> -2 508ddrmn854 remaindernear 10003 5 -> -2 509ddrmn855 remaindernear 1003 5 -> -2 510ddrmn856 remaindernear 103 5 -> -2 511ddrmn857 remaindernear 13 5 -> -2 512ddrmn858 remaindernear 1 5 -> 1 513 514-- Vladimir's cases 1234567890123456 515ddrmn860 remaindernear 123.0e1 1000000000000000 -> 1230 516ddrmn861 remaindernear 1230 1000000000000000 -> 1230 517ddrmn862 remaindernear 12.3e2 1000000000000000 -> 1230 518ddrmn863 remaindernear 1.23e3 1000000000000000 -> 1230 519ddrmn864 remaindernear 123e1 1000000000000000 -> 1230 520ddrmn870 remaindernear 123e1 1000000000000000 -> 1230 521ddrmn871 remaindernear 123e1 100000000000000 -> 1230 522ddrmn872 remaindernear 123e1 10000000000000 -> 1230 523ddrmn873 remaindernear 123e1 1000000000000 -> 1230 524ddrmn874 remaindernear 123e1 100000000000 -> 1230 525ddrmn875 remaindernear 123e1 10000000000 -> 1230 526ddrmn876 remaindernear 123e1 1000000000 -> 1230 527ddrmn877 remaindernear 123e1 100000000 -> 1230 528ddrmn878 remaindernear 1230 100000000 -> 1230 529ddrmn879 remaindernear 123e1 10000000 -> 1230 530ddrmn880 remaindernear 123e1 1000000 -> 1230 531ddrmn881 remaindernear 123e1 100000 -> 1230 532ddrmn882 remaindernear 123e1 10000 -> 1230 533ddrmn883 remaindernear 123e1 1000 -> 230 534ddrmn884 remaindernear 123e1 100 -> 30 535ddrmn885 remaindernear 123e1 10 -> 0 536ddrmn886 remaindernear 123e1 1 -> 0 537 538ddrmn890 remaindernear 123e1 2000000000000000 -> 1230 539ddrmn891 remaindernear 123e1 200000000000000 -> 1230 540ddrmn892 remaindernear 123e1 20000000000000 -> 1230 541ddrmn893 remaindernear 123e1 2000000000000 -> 1230 542ddrmn894 remaindernear 123e1 200000000000 -> 1230 543ddrmn895 remaindernear 123e1 20000000000 -> 1230 544ddrmn896 remaindernear 123e1 2000000000 -> 1230 545ddrmn897 remaindernear 123e1 200000000 -> 1230 546ddrmn899 remaindernear 123e1 20000000 -> 1230 547ddrmn900 remaindernear 123e1 2000000 -> 1230 548ddrmn901 remaindernear 123e1 200000 -> 1230 549ddrmn902 remaindernear 123e1 20000 -> 1230 550ddrmn903 remaindernear 123e1 2000 -> -770 551ddrmn904 remaindernear 123e1 200 -> 30 552ddrmn905 remaindernear 123e1 20 -> -10 553ddrmn906 remaindernear 123e1 2 -> 0 554 555ddrmn910 remaindernear 123e1 5000000000000000 -> 1230 556ddrmn911 remaindernear 123e1 500000000000000 -> 1230 557ddrmn912 remaindernear 123e1 50000000000000 -> 1230 558ddrmn913 remaindernear 123e1 5000000000000 -> 1230 559ddrmn914 remaindernear 123e1 500000000000 -> 1230 560ddrmn915 remaindernear 123e1 50000000000 -> 1230 561ddrmn916 remaindernear 123e1 5000000000 -> 1230 562ddrmn917 remaindernear 123e1 500000000 -> 1230 563ddrmn919 remaindernear 123e1 50000000 -> 1230 564ddrmn920 remaindernear 123e1 5000000 -> 1230 565ddrmn921 remaindernear 123e1 500000 -> 1230 566ddrmn922 remaindernear 123e1 50000 -> 1230 567ddrmn923 remaindernear 123e1 5000 -> 1230 568ddrmn924 remaindernear 123e1 500 -> 230 569ddrmn925 remaindernear 123e1 50 -> -20 570ddrmn926 remaindernear 123e1 5 -> 0 571 572ddrmn930 remaindernear 123e1 9000000000000000 -> 1230 573ddrmn931 remaindernear 123e1 900000000000000 -> 1230 574ddrmn932 remaindernear 123e1 90000000000000 -> 1230 575ddrmn933 remaindernear 123e1 9000000000000 -> 1230 576ddrmn934 remaindernear 123e1 900000000000 -> 1230 577ddrmn935 remaindernear 123e1 90000000000 -> 1230 578ddrmn936 remaindernear 123e1 9000000000 -> 1230 579ddrmn937 remaindernear 123e1 900000000 -> 1230 580ddrmn939 remaindernear 123e1 90000000 -> 1230 581ddrmn940 remaindernear 123e1 9000000 -> 1230 582ddrmn941 remaindernear 123e1 900000 -> 1230 583ddrmn942 remaindernear 123e1 90000 -> 1230 584ddrmn943 remaindernear 123e1 9000 -> 1230 585ddrmn944 remaindernear 123e1 900 -> 330 586ddrmn945 remaindernear 123e1 90 -> -30 587ddrmn946 remaindernear 123e1 9 -> -3 588 589ddrmn950 remaindernear 123e1 1000000000000000 -> 1230 590ddrmn961 remaindernear 123e1 2999999999999999 -> 1230 591ddrmn962 remaindernear 123e1 3999999999999999 -> 1230 592ddrmn963 remaindernear 123e1 4999999999999999 -> 1230 593ddrmn964 remaindernear 123e1 5999999999999999 -> 1230 594ddrmn965 remaindernear 123e1 6999999999999999 -> 1230 595ddrmn966 remaindernear 123e1 7999999999999999 -> 1230 596ddrmn967 remaindernear 123e1 8999999999999999 -> 1230 597ddrmn968 remaindernear 123e1 9999999999999999 -> 1230 598ddrmn969 remaindernear 123e1 9876543210987654 -> 1230 599 600ddrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally 601 602 603-- overflow and underflow tests [from divide] 604ddrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible 605ddrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible 606ddrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible 607ddrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible 608ddrmn1055 remaindernear 1e-277 1e+311 -> 1E-277 609ddrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277 610ddrmn1057 remaindernear -1e-277 1e+311 -> -1E-277 611ddrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277 612 613-- destructive subtract 614ddrmn1100 remainderNear 1234567890123456 1.000000000000001 -> -0.234567890123455 615ddrmn1101 remainderNear 1234567890123456 1.00000000000001 -> -0.34567890123444 616ddrmn1102 remainderNear 1234567890123456 1.0000000000001 -> -0.4567890123333 617ddrmn1103 remainderNear 1234567890123455 4.000000000000001 -> -1.308641972530864 618ddrmn1104 remainderNear 1234567890123456 4.000000000000001 -> -0.308641972530864 619ddrmn1115 remainderNear 1234567890123456 4.9999999999999 -> 0.6913578024696 620ddrmn1116 remainderNear 1234567890123456 4.99999999999999 -> -1.53086421975308 621ddrmn1117 remainderNear 1234567890123456 4.999999999999999 -> 1.246913578024691 622ddrmn1118 remainderNear 1234567890123456 5.000000000000001 -> 0.753086421975309 623ddrmn1119 remainderNear 1234567890123456 5.00000000000001 -> -1.46913578024691 624ddrmn1110 remainderNear 1234567890123456 5.0000000000001 -> 1.3086421975314 625 626-- Null tests 627ddrmn1000 remaindernear 10 # -> NaN Invalid_operation 628ddrmn1001 remaindernear # 10 -> NaN Invalid_operation 629 630