1------------------------------------------------------------------------ 2-- remainder.decTest -- decimal remainder -- 3-- Copyright (c) Mike Cowlishaw, 1981, 2010. All rights reserved. -- 4-- Parts copyright (c) IBM Corporation, 1981, 2008. -- 5------------------------------------------------------------------------ 6-- Please see the document "General Decimal Arithmetic Testcases" -- 7-- at http://speleotrove.com/decimal for the description of -- 8-- these testcases. -- 9-- -- 10-- These testcases are experimental ('beta' versions), and they -- 11-- may contain errors. They are offered on an as-is basis. In -- 12-- particular, achieving the same results as the tests here is not -- 13-- a guarantee that an implementation complies with any Standard -- 14-- or specification. The tests are not exhaustive. -- 15-- -- 16-- Please send comments, suggestions, and corrections to the author: -- 17-- Mike Cowlishaw, mfc@speleotrove.com -- 18------------------------------------------------------------------------ 19version: 2.62 20 21extended: 1 22precision: 9 23rounding: half_up 24maxExponent: 384 25minexponent: -383 26 27-- sanity checks (as base, above) 28remx001 remainder 1 1 -> 0 29remx002 remainder 2 1 -> 0 30remx003 remainder 1 2 -> 1 31remx004 remainder 2 2 -> 0 32remx005 remainder 0 1 -> 0 33remx006 remainder 0 2 -> 0 34remx007 remainder 1 3 -> 1 35remx008 remainder 2 3 -> 2 36remx009 remainder 3 3 -> 0 37 38remx010 remainder 2.4 1 -> 0.4 39remx011 remainder 2.4 -1 -> 0.4 40remx012 remainder -2.4 1 -> -0.4 41remx013 remainder -2.4 -1 -> -0.4 42remx014 remainder 2.40 1 -> 0.40 43remx015 remainder 2.400 1 -> 0.400 44remx016 remainder 2.4 2 -> 0.4 45remx017 remainder 2.400 2 -> 0.400 46remx018 remainder 2. 2 -> 0 47remx019 remainder 20 20 -> 0 48 49remx020 remainder 187 187 -> 0 50remx021 remainder 5 2 -> 1 51remx022 remainder 5 2.0 -> 1.0 52remx023 remainder 5 2.000 -> 1.000 53remx024 remainder 5 0.200 -> 0.000 54remx025 remainder 5 0.200 -> 0.000 55 56remx030 remainder 1 2 -> 1 57remx031 remainder 1 4 -> 1 58remx032 remainder 1 8 -> 1 59 60remx033 remainder 1 16 -> 1 61remx034 remainder 1 32 -> 1 62remx035 remainder 1 64 -> 1 63remx040 remainder 1 -2 -> 1 64remx041 remainder 1 -4 -> 1 65remx042 remainder 1 -8 -> 1 66remx043 remainder 1 -16 -> 1 67remx044 remainder 1 -32 -> 1 68remx045 remainder 1 -64 -> 1 69remx050 remainder -1 2 -> -1 70remx051 remainder -1 4 -> -1 71remx052 remainder -1 8 -> -1 72remx053 remainder -1 16 -> -1 73remx054 remainder -1 32 -> -1 74remx055 remainder -1 64 -> -1 75remx060 remainder -1 -2 -> -1 76remx061 remainder -1 -4 -> -1 77remx062 remainder -1 -8 -> -1 78remx063 remainder -1 -16 -> -1 79remx064 remainder -1 -32 -> -1 80remx065 remainder -1 -64 -> -1 81 82remx066 remainder 999999999 1 -> 0 83remx067 remainder 999999999.4 1 -> 0.4 84remx068 remainder 999999999.5 1 -> 0.5 85remx069 remainder 999999999.9 1 -> 0.9 86remx070 remainder 999999999.999 1 -> 0.999 87precision: 6 88remx071 remainder 999999999 1 -> NaN Division_impossible 89remx072 remainder 99999999 1 -> NaN Division_impossible 90remx073 remainder 9999999 1 -> NaN Division_impossible 91remx074 remainder 999999 1 -> 0 92remx075 remainder 99999 1 -> 0 93remx076 remainder 9999 1 -> 0 94remx077 remainder 999 1 -> 0 95remx078 remainder 99 1 -> 0 96remx079 remainder 9 1 -> 0 97 98precision: 9 99remx080 remainder 0. 1 -> 0 100remx081 remainder .0 1 -> 0.0 101remx082 remainder 0.00 1 -> 0.00 102remx083 remainder 0.00E+9 1 -> 0 103remx084 remainder 0.00E+3 1 -> 0 104remx085 remainder 0.00E+2 1 -> 0 105remx086 remainder 0.00E+1 1 -> 0.0 106remx087 remainder 0.00E+0 1 -> 0.00 107remx088 remainder 0.00E-0 1 -> 0.00 108remx089 remainder 0.00E-1 1 -> 0.000 109remx090 remainder 0.00E-2 1 -> 0.0000 110remx091 remainder 0.00E-3 1 -> 0.00000 111remx092 remainder 0.00E-4 1 -> 0.000000 112remx093 remainder 0.00E-5 1 -> 0E-7 113remx094 remainder 0.00E-6 1 -> 0E-8 114remx095 remainder 0.0000E-50 1 -> 0E-54 115 116-- Various flavours of remainder by 0 117precision: 9 118maxexponent: 999999999 119minexponent: -999999999 120remx101 remainder 0 0 -> NaN Division_undefined 121remx102 remainder 0 -0 -> NaN Division_undefined 122remx103 remainder -0 0 -> NaN Division_undefined 123remx104 remainder -0 -0 -> NaN Division_undefined 124remx105 remainder 0.0E5 0 -> NaN Division_undefined 125remx106 remainder 0.000 0 -> NaN Division_undefined 126-- [Some think this next group should be Division_by_zero exception, but 127-- IEEE 854 is explicit that it is Invalid operation .. for 128-- remainder-near, anyway] 129remx107 remainder 0.0001 0 -> NaN Invalid_operation 130remx108 remainder 0.01 0 -> NaN Invalid_operation 131remx109 remainder 0.1 0 -> NaN Invalid_operation 132remx110 remainder 1 0 -> NaN Invalid_operation 133remx111 remainder 1 0.0 -> NaN Invalid_operation 134remx112 remainder 10 0.0 -> NaN Invalid_operation 135remx113 remainder 1E+100 0.0 -> NaN Invalid_operation 136remx114 remainder 1E+1000 0 -> NaN Invalid_operation 137remx115 remainder 0.0001 -0 -> NaN Invalid_operation 138remx116 remainder 0.01 -0 -> NaN Invalid_operation 139remx119 remainder 0.1 -0 -> NaN Invalid_operation 140remx120 remainder 1 -0 -> NaN Invalid_operation 141remx121 remainder 1 -0.0 -> NaN Invalid_operation 142remx122 remainder 10 -0.0 -> NaN Invalid_operation 143remx123 remainder 1E+100 -0.0 -> NaN Invalid_operation 144remx124 remainder 1E+1000 -0 -> NaN Invalid_operation 145-- and zeros on left 146remx130 remainder 0 1 -> 0 147remx131 remainder 0 -1 -> 0 148remx132 remainder 0.0 1 -> 0.0 149remx133 remainder 0.0 -1 -> 0.0 150remx134 remainder -0 1 -> -0 151remx135 remainder -0 -1 -> -0 152remx136 remainder -0.0 1 -> -0.0 153remx137 remainder -0.0 -1 -> -0.0 154 155-- 0.5ers 156remx143 remainder 0.5 2 -> 0.5 157remx144 remainder 0.5 2.1 -> 0.5 158remx145 remainder 0.5 2.01 -> 0.50 159remx146 remainder 0.5 2.001 -> 0.500 160remx147 remainder 0.50 2 -> 0.50 161remx148 remainder 0.50 2.01 -> 0.50 162remx149 remainder 0.50 2.001 -> 0.500 163 164-- steadies 165remx150 remainder 1 1 -> 0 166remx151 remainder 1 2 -> 1 167remx152 remainder 1 3 -> 1 168remx153 remainder 1 4 -> 1 169remx154 remainder 1 5 -> 1 170remx155 remainder 1 6 -> 1 171remx156 remainder 1 7 -> 1 172remx157 remainder 1 8 -> 1 173remx158 remainder 1 9 -> 1 174remx159 remainder 1 10 -> 1 175remx160 remainder 1 1 -> 0 176remx161 remainder 2 1 -> 0 177remx162 remainder 3 1 -> 0 178remx163 remainder 4 1 -> 0 179remx164 remainder 5 1 -> 0 180remx165 remainder 6 1 -> 0 181remx166 remainder 7 1 -> 0 182remx167 remainder 8 1 -> 0 183remx168 remainder 9 1 -> 0 184remx169 remainder 10 1 -> 0 185 186-- some differences from remainderNear 187remx171 remainder 0.4 1.020 -> 0.400 188remx172 remainder 0.50 1.020 -> 0.500 189remx173 remainder 0.51 1.020 -> 0.510 190remx174 remainder 0.52 1.020 -> 0.520 191remx175 remainder 0.6 1.020 -> 0.600 192 193 194-- More flavours of remainder by 0 195maxexponent: 999999999 196minexponent: -999999999 197remx201 remainder 0 0 -> NaN Division_undefined 198remx202 remainder 0.0E5 0 -> NaN Division_undefined 199remx203 remainder 0.000 0 -> NaN Division_undefined 200remx204 remainder 0.0001 0 -> NaN Invalid_operation 201remx205 remainder 0.01 0 -> NaN Invalid_operation 202remx206 remainder 0.1 0 -> NaN Invalid_operation 203remx207 remainder 1 0 -> NaN Invalid_operation 204remx208 remainder 1 0.0 -> NaN Invalid_operation 205remx209 remainder 10 0.0 -> NaN Invalid_operation 206remx210 remainder 1E+100 0.0 -> NaN Invalid_operation 207remx211 remainder 1E+1000 0 -> NaN Invalid_operation 208 209-- some differences from remainderNear 210remx231 remainder -0.4 1.020 -> -0.400 211remx232 remainder -0.50 1.020 -> -0.500 212remx233 remainder -0.51 1.020 -> -0.510 213remx234 remainder -0.52 1.020 -> -0.520 214remx235 remainder -0.6 1.020 -> -0.600 215 216-- high Xs 217remx240 remainder 1E+2 1.00 -> 0.00 218 219 220-- test some cases that are close to exponent overflow 221maxexponent: 999999999 222minexponent: -999999999 223remx270 remainder 1 1e999999999 -> 1 224remx271 remainder 1 0.9e999999999 -> 1 225remx272 remainder 1 0.99e999999999 -> 1 226remx273 remainder 1 0.999999999e999999999 -> 1 227remx274 remainder 9e999999999 1 -> NaN Division_impossible 228remx275 remainder 9.9e999999999 1 -> NaN Division_impossible 229remx276 remainder 9.99e999999999 1 -> NaN Division_impossible 230remx277 remainder 9.99999999e999999999 1 -> NaN Division_impossible 231 232remx280 remainder 0.1 9e-999999999 -> NaN Division_impossible 233remx281 remainder 0.1 99e-999999999 -> NaN Division_impossible 234remx282 remainder 0.1 999e-999999999 -> NaN Division_impossible 235 236remx283 remainder 0.1 9e-999999998 -> NaN Division_impossible 237remx284 remainder 0.1 99e-999999998 -> NaN Division_impossible 238remx285 remainder 0.1 999e-999999998 -> NaN Division_impossible 239remx286 remainder 0.1 999e-999999997 -> NaN Division_impossible 240remx287 remainder 0.1 9999e-999999997 -> NaN Division_impossible 241remx288 remainder 0.1 99999e-999999997 -> NaN Division_impossible 242 243-- remx3xx are from DiagBigDecimal 244remx301 remainder 1 3 -> 1 245remx302 remainder 5 5 -> 0 246remx303 remainder 13 10 -> 3 247remx304 remainder 13 50 -> 13 248remx305 remainder 13 100 -> 13 249remx306 remainder 13 1000 -> 13 250remx307 remainder .13 1 -> 0.13 251remx308 remainder 0.133 1 -> 0.133 252remx309 remainder 0.1033 1 -> 0.1033 253remx310 remainder 1.033 1 -> 0.033 254remx311 remainder 10.33 1 -> 0.33 255remx312 remainder 10.33 10 -> 0.33 256remx313 remainder 103.3 1 -> 0.3 257remx314 remainder 133 10 -> 3 258remx315 remainder 1033 10 -> 3 259remx316 remainder 1033 50 -> 33 260remx317 remainder 101.0 3 -> 2.0 261remx318 remainder 102.0 3 -> 0.0 262remx319 remainder 103.0 3 -> 1.0 263remx320 remainder 2.40 1 -> 0.40 264remx321 remainder 2.400 1 -> 0.400 265remx322 remainder 2.4 1 -> 0.4 266remx323 remainder 2.4 2 -> 0.4 267remx324 remainder 2.400 2 -> 0.400 268remx325 remainder 1 0.3 -> 0.1 269remx326 remainder 1 0.30 -> 0.10 270remx327 remainder 1 0.300 -> 0.100 271remx328 remainder 1 0.3000 -> 0.1000 272remx329 remainder 1.0 0.3 -> 0.1 273remx330 remainder 1.00 0.3 -> 0.10 274remx331 remainder 1.000 0.3 -> 0.100 275remx332 remainder 1.0000 0.3 -> 0.1000 276remx333 remainder 0.5 2 -> 0.5 277remx334 remainder 0.5 2.1 -> 0.5 278remx335 remainder 0.5 2.01 -> 0.50 279remx336 remainder 0.5 2.001 -> 0.500 280remx337 remainder 0.50 2 -> 0.50 281remx338 remainder 0.50 2.01 -> 0.50 282remx339 remainder 0.50 2.001 -> 0.500 283 284remx340 remainder 0.5 0.5000001 -> 0.5000000 285remx341 remainder 0.5 0.50000001 -> 0.50000000 286remx342 remainder 0.5 0.500000001 -> 0.500000000 287remx343 remainder 0.5 0.5000000001 -> 0.500000000 Rounded 288remx344 remainder 0.5 0.50000000001 -> 0.500000000 Rounded 289remx345 remainder 0.5 0.4999999 -> 1E-7 290remx346 remainder 0.5 0.49999999 -> 1E-8 291remx347 remainder 0.5 0.499999999 -> 1E-9 292remx348 remainder 0.5 0.4999999999 -> 1E-10 293remx349 remainder 0.5 0.49999999999 -> 1E-11 294remx350 remainder 0.5 0.499999999999 -> 1E-12 295 296remx351 remainder 0.03 7 -> 0.03 297remx352 remainder 5 2 -> 1 298remx353 remainder 4.1 2 -> 0.1 299remx354 remainder 4.01 2 -> 0.01 300remx355 remainder 4.001 2 -> 0.001 301remx356 remainder 4.0001 2 -> 0.0001 302remx357 remainder 4.00001 2 -> 0.00001 303remx358 remainder 4.000001 2 -> 0.000001 304remx359 remainder 4.0000001 2 -> 1E-7 305 306remx360 remainder 1.2 0.7345 -> 0.4655 307remx361 remainder 0.8 12 -> 0.8 308remx362 remainder 0.8 0.2 -> 0.0 309remx363 remainder 0.8 0.3 -> 0.2 310remx364 remainder 0.800 12 -> 0.800 311remx365 remainder 0.800 1.7 -> 0.800 312remx366 remainder 2.400 2 -> 0.400 313 314precision: 6 315remx371 remainder 2.400 2 -> 0.400 316precision: 3 317-- long operand, rounded, case 318remx372 remainder 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded 319-- 12000000000000 320 321precision: 5 322remx381 remainder 12345 1 -> 0 323remx382 remainder 12345 1.0001 -> 0.7657 324remx383 remainder 12345 1.001 -> 0.668 325remx384 remainder 12345 1.01 -> 0.78 326remx385 remainder 12345 1.1 -> 0.8 327remx386 remainder 12355 4 -> 3 328remx387 remainder 12345 4 -> 1 329remx388 remainder 12355 4.0001 -> 2.6912 330remx389 remainder 12345 4.0001 -> 0.6914 331remx390 remainder 12345 4.9 -> 1.9 332remx391 remainder 12345 4.99 -> 4.73 333remx392 remainder 12345 4.999 -> 2.469 334remx393 remainder 12345 4.9999 -> 0.2469 335remx394 remainder 12345 5 -> 0 336remx395 remainder 12345 5.0001 -> 4.7532 337remx396 remainder 12345 5.001 -> 2.532 338remx397 remainder 12345 5.01 -> 0.36 339remx398 remainder 12345 5.1 -> 3.0 340 341precision: 9 342-- the nasty division-by-1 cases 343remx401 remainder 0.5 1 -> 0.5 344remx402 remainder 0.55 1 -> 0.55 345remx403 remainder 0.555 1 -> 0.555 346remx404 remainder 0.5555 1 -> 0.5555 347remx405 remainder 0.55555 1 -> 0.55555 348remx406 remainder 0.555555 1 -> 0.555555 349remx407 remainder 0.5555555 1 -> 0.5555555 350remx408 remainder 0.55555555 1 -> 0.55555555 351remx409 remainder 0.555555555 1 -> 0.555555555 352 353-- zero signs 354remx650 remainder 1 1 -> 0 355remx651 remainder -1 1 -> -0 356remx652 remainder 1 -1 -> 0 357remx653 remainder -1 -1 -> -0 358remx654 remainder 0 1 -> 0 359remx655 remainder -0 1 -> -0 360remx656 remainder 0 -1 -> 0 361remx657 remainder -0 -1 -> -0 362remx658 remainder 0.00 1 -> 0.00 363remx659 remainder -0.00 1 -> -0.00 364 365-- Specials 366remx680 remainder Inf -Inf -> NaN Invalid_operation 367remx681 remainder Inf -1000 -> NaN Invalid_operation 368remx682 remainder Inf -1 -> NaN Invalid_operation 369remx683 remainder Inf 0 -> NaN Invalid_operation 370remx684 remainder Inf -0 -> NaN Invalid_operation 371remx685 remainder Inf 1 -> NaN Invalid_operation 372remx686 remainder Inf 1000 -> NaN Invalid_operation 373remx687 remainder Inf Inf -> NaN Invalid_operation 374remx688 remainder -1000 Inf -> -1000 375remx689 remainder -Inf Inf -> NaN Invalid_operation 376remx691 remainder -1 Inf -> -1 377remx692 remainder 0 Inf -> 0 378remx693 remainder -0 Inf -> -0 379remx694 remainder 1 Inf -> 1 380remx695 remainder 1000 Inf -> 1000 381remx696 remainder Inf Inf -> NaN Invalid_operation 382 383remx700 remainder -Inf -Inf -> NaN Invalid_operation 384remx701 remainder -Inf -1000 -> NaN Invalid_operation 385remx702 remainder -Inf -1 -> NaN Invalid_operation 386remx703 remainder -Inf -0 -> NaN Invalid_operation 387remx704 remainder -Inf 0 -> NaN Invalid_operation 388remx705 remainder -Inf 1 -> NaN Invalid_operation 389remx706 remainder -Inf 1000 -> NaN Invalid_operation 390remx707 remainder -Inf Inf -> NaN Invalid_operation 391remx708 remainder -Inf -Inf -> NaN Invalid_operation 392remx709 remainder -1000 Inf -> -1000 393remx710 remainder -1 -Inf -> -1 394remx711 remainder -0 -Inf -> -0 395remx712 remainder 0 -Inf -> 0 396remx713 remainder 1 -Inf -> 1 397remx714 remainder 1000 -Inf -> 1000 398remx715 remainder Inf -Inf -> NaN Invalid_operation 399 400remx721 remainder NaN -Inf -> NaN 401remx722 remainder NaN -1000 -> NaN 402remx723 remainder NaN -1 -> NaN 403remx724 remainder NaN -0 -> NaN 404remx725 remainder -NaN 0 -> -NaN 405remx726 remainder NaN 1 -> NaN 406remx727 remainder NaN 1000 -> NaN 407remx728 remainder NaN Inf -> NaN 408remx729 remainder NaN -NaN -> NaN 409remx730 remainder -Inf NaN -> NaN 410remx731 remainder -1000 NaN -> NaN 411remx732 remainder -1 NaN -> NaN 412remx733 remainder -0 -NaN -> -NaN 413remx734 remainder 0 NaN -> NaN 414remx735 remainder 1 -NaN -> -NaN 415remx736 remainder 1000 NaN -> NaN 416remx737 remainder Inf NaN -> NaN 417 418remx741 remainder sNaN -Inf -> NaN Invalid_operation 419remx742 remainder sNaN -1000 -> NaN Invalid_operation 420remx743 remainder -sNaN -1 -> -NaN Invalid_operation 421remx744 remainder sNaN -0 -> NaN Invalid_operation 422remx745 remainder sNaN 0 -> NaN Invalid_operation 423remx746 remainder sNaN 1 -> NaN Invalid_operation 424remx747 remainder sNaN 1000 -> NaN Invalid_operation 425remx749 remainder sNaN NaN -> NaN Invalid_operation 426remx750 remainder sNaN sNaN -> NaN Invalid_operation 427remx751 remainder NaN sNaN -> NaN Invalid_operation 428remx752 remainder -Inf sNaN -> NaN Invalid_operation 429remx753 remainder -1000 sNaN -> NaN Invalid_operation 430remx754 remainder -1 sNaN -> NaN Invalid_operation 431remx755 remainder -0 sNaN -> NaN Invalid_operation 432remx756 remainder 0 sNaN -> NaN Invalid_operation 433remx757 remainder 1 sNaN -> NaN Invalid_operation 434remx758 remainder 1000 sNaN -> NaN Invalid_operation 435remx759 remainder Inf -sNaN -> -NaN Invalid_operation 436 437-- propaging NaNs 438remx760 remainder NaN1 NaN7 -> NaN1 439remx761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation 440remx762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation 441remx763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation 442remx764 remainder 15 NaN11 -> NaN11 443remx765 remainder NaN6 NaN12 -> NaN6 444remx766 remainder Inf NaN13 -> NaN13 445remx767 remainder NaN14 -Inf -> NaN14 446remx768 remainder 0 NaN15 -> NaN15 447remx769 remainder NaN16 -0 -> NaN16 448 449-- test some cases that are close to exponent overflow 450maxexponent: 999999999 451minexponent: -999999999 452remx770 remainder 1 1e999999999 -> 1 453remx771 remainder 1 0.9e999999999 -> 1 454remx772 remainder 1 0.99e999999999 -> 1 455remx773 remainder 1 0.999999999e999999999 -> 1 456remx774 remainder 9e999999999 1 -> NaN Division_impossible 457remx775 remainder 9.9e999999999 1 -> NaN Division_impossible 458remx776 remainder 9.99e999999999 1 -> NaN Division_impossible 459remx777 remainder 9.99999999e999999999 1 -> NaN Division_impossible 460 461-- long operand checks 462maxexponent: 999 463minexponent: -999 464precision: 9 465remx801 remainder 12345678000 100 -> 0 466remx802 remainder 1 12345678000 -> 1 467remx803 remainder 1234567800 10 -> 0 468remx804 remainder 1 1234567800 -> 1 469remx805 remainder 1234567890 10 -> 0 470remx806 remainder 1 1234567890 -> 1 471remx807 remainder 1234567891 10 -> 1 472remx808 remainder 1 1234567891 -> 1 473remx809 remainder 12345678901 100 -> 1 474remx810 remainder 1 12345678901 -> 1 475remx811 remainder 1234567896 10 -> 6 476remx812 remainder 1 1234567896 -> 1 477 478precision: 15 479remx821 remainder 12345678000 100 -> 0 480remx822 remainder 1 12345678000 -> 1 481remx823 remainder 1234567800 10 -> 0 482remx824 remainder 1 1234567800 -> 1 483remx825 remainder 1234567890 10 -> 0 484remx826 remainder 1 1234567890 -> 1 485remx827 remainder 1234567891 10 -> 1 486remx828 remainder 1 1234567891 -> 1 487remx829 remainder 12345678901 100 -> 1 488remx830 remainder 1 12345678901 -> 1 489remx831 remainder 1234567896 10 -> 6 490remx832 remainder 1 1234567896 -> 1 491 492-- worries from divideint 493precision: 8 494remx840 remainder 100000000.0 1 -> NaN Division_impossible 495remx841 remainder 100000000.4 1 -> NaN Division_impossible 496remx842 remainder 100000000.5 1 -> NaN Division_impossible 497remx843 remainder 100000000.9 1 -> NaN Division_impossible 498remx844 remainder 100000000.999 1 -> NaN Division_impossible 499precision: 6 500remx850 remainder 100000003 5 -> NaN Division_impossible 501remx851 remainder 10000003 5 -> NaN Division_impossible 502remx852 remainder 1000003 5 -> 3 503remx853 remainder 100003 5 -> 3 504remx854 remainder 10003 5 -> 3 505remx855 remainder 1003 5 -> 3 506remx856 remainder 103 5 -> 3 507remx857 remainder 13 5 -> 3 508remx858 remainder 1 5 -> 1 509 510-- Vladimir's cases 511remx860 remainder 123.0e1 10000000000000000 -> 1230 512remx861 remainder 1230 10000000000000000 -> 1230 513remx862 remainder 12.3e2 10000000000000000 -> 1230 514remx863 remainder 1.23e3 10000000000000000 -> 1230 515remx864 remainder 123e1 10000000000000000 -> 1230 516remx870 remainder 123e1 1000000000000000 -> 1230 517remx871 remainder 123e1 100000000000000 -> 1230 518remx872 remainder 123e1 10000000000000 -> 1230 519remx873 remainder 123e1 1000000000000 -> 1230 520remx874 remainder 123e1 100000000000 -> 1230 521remx875 remainder 123e1 10000000000 -> 1230 522remx876 remainder 123e1 1000000000 -> 1230 523remx877 remainder 123e1 100000000 -> 1230 524remx878 remainder 1230 100000000 -> 1230 525remx879 remainder 123e1 10000000 -> 1230 526remx880 remainder 123e1 1000000 -> 1230 527remx881 remainder 123e1 100000 -> 1230 528remx882 remainder 123e1 10000 -> 1230 529remx883 remainder 123e1 1000 -> 230 530remx884 remainder 123e1 100 -> 30 531remx885 remainder 123e1 10 -> 0 532remx886 remainder 123e1 1 -> 0 533 534remx889 remainder 123e1 20000000000000000 -> 1230 535remx890 remainder 123e1 2000000000000000 -> 1230 536remx891 remainder 123e1 200000000000000 -> 1230 537remx892 remainder 123e1 20000000000000 -> 1230 538remx893 remainder 123e1 2000000000000 -> 1230 539remx894 remainder 123e1 200000000000 -> 1230 540remx895 remainder 123e1 20000000000 -> 1230 541remx896 remainder 123e1 2000000000 -> 1230 542remx897 remainder 123e1 200000000 -> 1230 543remx899 remainder 123e1 20000000 -> 1230 544remx900 remainder 123e1 2000000 -> 1230 545remx901 remainder 123e1 200000 -> 1230 546remx902 remainder 123e1 20000 -> 1230 547remx903 remainder 123e1 2000 -> 1230 548remx904 remainder 123e1 200 -> 30 549remx905 remainder 123e1 20 -> 10 550remx906 remainder 123e1 2 -> 0 551 552remx909 remainder 123e1 50000000000000000 -> 1230 553remx910 remainder 123e1 5000000000000000 -> 1230 554remx911 remainder 123e1 500000000000000 -> 1230 555remx912 remainder 123e1 50000000000000 -> 1230 556remx913 remainder 123e1 5000000000000 -> 1230 557remx914 remainder 123e1 500000000000 -> 1230 558remx915 remainder 123e1 50000000000 -> 1230 559remx916 remainder 123e1 5000000000 -> 1230 560remx917 remainder 123e1 500000000 -> 1230 561remx919 remainder 123e1 50000000 -> 1230 562remx920 remainder 123e1 5000000 -> 1230 563remx921 remainder 123e1 500000 -> 1230 564remx922 remainder 123e1 50000 -> 1230 565remx923 remainder 123e1 5000 -> 1230 566remx924 remainder 123e1 500 -> 230 567remx925 remainder 123e1 50 -> 30 568remx926 remainder 123e1 5 -> 0 569 570remx929 remainder 123e1 90000000000000000 -> 1230 571remx930 remainder 123e1 9000000000000000 -> 1230 572remx931 remainder 123e1 900000000000000 -> 1230 573remx932 remainder 123e1 90000000000000 -> 1230 574remx933 remainder 123e1 9000000000000 -> 1230 575remx934 remainder 123e1 900000000000 -> 1230 576remx935 remainder 123e1 90000000000 -> 1230 577remx936 remainder 123e1 9000000000 -> 1230 578remx937 remainder 123e1 900000000 -> 1230 579remx939 remainder 123e1 90000000 -> 1230 580remx940 remainder 123e1 9000000 -> 1230 581remx941 remainder 123e1 900000 -> 1230 582remx942 remainder 123e1 90000 -> 1230 583remx943 remainder 123e1 9000 -> 1230 584remx944 remainder 123e1 900 -> 330 585remx945 remainder 123e1 90 -> 60 586remx946 remainder 123e1 9 -> 6 587 588remx950 remainder 123e1 10000000000000000 -> 1230 589remx951 remainder 123e1 100000000000000000 -> 1230 590remx952 remainder 123e1 1000000000000000000 -> 1230 591remx953 remainder 123e1 10000000000000000000 -> 1230 592remx954 remainder 123e1 100000000000000000000 -> 1230 593remx955 remainder 123e1 1000000000000000000000 -> 1230 594remx956 remainder 123e1 10000000000000000000000 -> 1230 595remx957 remainder 123e1 100000000000000000000000 -> 1230 596remx958 remainder 123e1 1000000000000000000000000 -> 1230 597remx959 remainder 123e1 10000000000000000000000000 -> 1230 598 599remx960 remainder 123e1 19999999999999999 -> 1230 600remx961 remainder 123e1 199999999999999990 -> 1230 601remx962 remainder 123e1 1999999999999999999 -> 1230 602remx963 remainder 123e1 19999999999999999990 -> 1230 603remx964 remainder 123e1 199999999999999999999 -> 1230 604remx965 remainder 123e1 1999999999999999999990 -> 1230 605remx966 remainder 123e1 19999999999999999999999 -> 1230 606remx967 remainder 123e1 199999999999999999999990 -> 1230 607remx968 remainder 123e1 1999999999999999999999999 -> 1230 608remx969 remainder 123e1 19999999999999999999999990 -> 1230 609 610remx970 remainder 1e1 10000000000000000 -> 10 611remx971 remainder 1e1 100000000000000000 -> 10 612remx972 remainder 1e1 1000000000000000000 -> 10 613remx973 remainder 1e1 10000000000000000000 -> 10 614remx974 remainder 1e1 100000000000000000000 -> 10 615remx975 remainder 1e1 1000000000000000000000 -> 10 616remx976 remainder 1e1 10000000000000000000000 -> 10 617remx977 remainder 1e1 100000000000000000000000 -> 10 618remx978 remainder 1e1 1000000000000000000000000 -> 10 619remx979 remainder 1e1 10000000000000000000000000 -> 10 620 621remx980 remainder 123e1 1000E999999 -> 1.23E+3 -- 123E+1 internally 622 623-- overflow and underflow tests [from divide] 624precision: 9 625maxexponent: 999999999 626minexponent: -999999999 627remx990 remainder +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded 628remx991 remainder 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible 629remx992 remainder +0.100 9E+999999999 -> 0.100 630remx993 remainder 9E-999999999 +9.100 -> 9E-999999999 631remx995 remainder -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded 632remx996 remainder 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible 633remx997 remainder -0.100 9E+999999999 -> -0.100 634remx998 remainder 9E-999999999 -9.100 -> 9E-999999999 635 636-- Null tests 637remx1000 remainder 10 # -> NaN Invalid_operation 638remx1001 remainder # 10 -> NaN Invalid_operation 639 640