1------------------------------------------------------------------------ 2-- remainder.decTest -- decimal remainder -- 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 22extended: 1 23precision: 9 24rounding: half_up 25maxExponent: 384 26minexponent: -383 27 28-- sanity checks (as base, above) 29remx001 remainder 1 1 -> 0 30remx002 remainder 2 1 -> 0 31remx003 remainder 1 2 -> 1 32remx004 remainder 2 2 -> 0 33remx005 remainder 0 1 -> 0 34remx006 remainder 0 2 -> 0 35remx007 remainder 1 3 -> 1 36remx008 remainder 2 3 -> 2 37remx009 remainder 3 3 -> 0 38 39remx010 remainder 2.4 1 -> 0.4 40remx011 remainder 2.4 -1 -> 0.4 41remx012 remainder -2.4 1 -> -0.4 42remx013 remainder -2.4 -1 -> -0.4 43remx014 remainder 2.40 1 -> 0.40 44remx015 remainder 2.400 1 -> 0.400 45remx016 remainder 2.4 2 -> 0.4 46remx017 remainder 2.400 2 -> 0.400 47remx018 remainder 2. 2 -> 0 48remx019 remainder 20 20 -> 0 49 50remx020 remainder 187 187 -> 0 51remx021 remainder 5 2 -> 1 52remx022 remainder 5 2.0 -> 1.0 53remx023 remainder 5 2.000 -> 1.000 54remx024 remainder 5 0.200 -> 0.000 55remx025 remainder 5 0.200 -> 0.000 56 57remx030 remainder 1 2 -> 1 58remx031 remainder 1 4 -> 1 59remx032 remainder 1 8 -> 1 60 61remx033 remainder 1 16 -> 1 62remx034 remainder 1 32 -> 1 63remx035 remainder 1 64 -> 1 64remx040 remainder 1 -2 -> 1 65remx041 remainder 1 -4 -> 1 66remx042 remainder 1 -8 -> 1 67remx043 remainder 1 -16 -> 1 68remx044 remainder 1 -32 -> 1 69remx045 remainder 1 -64 -> 1 70remx050 remainder -1 2 -> -1 71remx051 remainder -1 4 -> -1 72remx052 remainder -1 8 -> -1 73remx053 remainder -1 16 -> -1 74remx054 remainder -1 32 -> -1 75remx055 remainder -1 64 -> -1 76remx060 remainder -1 -2 -> -1 77remx061 remainder -1 -4 -> -1 78remx062 remainder -1 -8 -> -1 79remx063 remainder -1 -16 -> -1 80remx064 remainder -1 -32 -> -1 81remx065 remainder -1 -64 -> -1 82 83remx066 remainder 999999999 1 -> 0 84remx067 remainder 999999999.4 1 -> 0.4 85remx068 remainder 999999999.5 1 -> 0.5 86remx069 remainder 999999999.9 1 -> 0.9 87remx070 remainder 999999999.999 1 -> 0.999 88precision: 6 89remx071 remainder 999999999 1 -> NaN Division_impossible 90remx072 remainder 99999999 1 -> NaN Division_impossible 91remx073 remainder 9999999 1 -> NaN Division_impossible 92remx074 remainder 999999 1 -> 0 93remx075 remainder 99999 1 -> 0 94remx076 remainder 9999 1 -> 0 95remx077 remainder 999 1 -> 0 96remx078 remainder 99 1 -> 0 97remx079 remainder 9 1 -> 0 98 99precision: 9 100remx080 remainder 0. 1 -> 0 101remx081 remainder .0 1 -> 0.0 102remx082 remainder 0.00 1 -> 0.00 103remx083 remainder 0.00E+9 1 -> 0 104remx084 remainder 0.00E+3 1 -> 0 105remx085 remainder 0.00E+2 1 -> 0 106remx086 remainder 0.00E+1 1 -> 0.0 107remx087 remainder 0.00E+0 1 -> 0.00 108remx088 remainder 0.00E-0 1 -> 0.00 109remx089 remainder 0.00E-1 1 -> 0.000 110remx090 remainder 0.00E-2 1 -> 0.0000 111remx091 remainder 0.00E-3 1 -> 0.00000 112remx092 remainder 0.00E-4 1 -> 0.000000 113remx093 remainder 0.00E-5 1 -> 0E-7 114remx094 remainder 0.00E-6 1 -> 0E-8 115remx095 remainder 0.0000E-50 1 -> 0E-54 116 117-- Various flavours of remainder by 0 118precision: 9 119maxexponent: 999999999 120minexponent: -999999999 121remx101 remainder 0 0 -> NaN Division_undefined 122remx102 remainder 0 -0 -> NaN Division_undefined 123remx103 remainder -0 0 -> NaN Division_undefined 124remx104 remainder -0 -0 -> NaN Division_undefined 125remx105 remainder 0.0E5 0 -> NaN Division_undefined 126remx106 remainder 0.000 0 -> NaN Division_undefined 127-- [Some think this next group should be Division_by_zero exception, but 128-- IEEE 854 is explicit that it is Invalid operation .. for 129-- remainder-near, anyway] 130remx107 remainder 0.0001 0 -> NaN Invalid_operation 131remx108 remainder 0.01 0 -> NaN Invalid_operation 132remx109 remainder 0.1 0 -> NaN Invalid_operation 133remx110 remainder 1 0 -> NaN Invalid_operation 134remx111 remainder 1 0.0 -> NaN Invalid_operation 135remx112 remainder 10 0.0 -> NaN Invalid_operation 136remx113 remainder 1E+100 0.0 -> NaN Invalid_operation 137remx114 remainder 1E+1000 0 -> NaN Invalid_operation 138remx115 remainder 0.0001 -0 -> NaN Invalid_operation 139remx116 remainder 0.01 -0 -> NaN Invalid_operation 140remx119 remainder 0.1 -0 -> NaN Invalid_operation 141remx120 remainder 1 -0 -> NaN Invalid_operation 142remx121 remainder 1 -0.0 -> NaN Invalid_operation 143remx122 remainder 10 -0.0 -> NaN Invalid_operation 144remx123 remainder 1E+100 -0.0 -> NaN Invalid_operation 145remx124 remainder 1E+1000 -0 -> NaN Invalid_operation 146-- and zeros on left 147remx130 remainder 0 1 -> 0 148remx131 remainder 0 -1 -> 0 149remx132 remainder 0.0 1 -> 0.0 150remx133 remainder 0.0 -1 -> 0.0 151remx134 remainder -0 1 -> -0 152remx135 remainder -0 -1 -> -0 153remx136 remainder -0.0 1 -> -0.0 154remx137 remainder -0.0 -1 -> -0.0 155 156-- 0.5ers 157remx143 remainder 0.5 2 -> 0.5 158remx144 remainder 0.5 2.1 -> 0.5 159remx145 remainder 0.5 2.01 -> 0.50 160remx146 remainder 0.5 2.001 -> 0.500 161remx147 remainder 0.50 2 -> 0.50 162remx148 remainder 0.50 2.01 -> 0.50 163remx149 remainder 0.50 2.001 -> 0.500 164 165-- steadies 166remx150 remainder 1 1 -> 0 167remx151 remainder 1 2 -> 1 168remx152 remainder 1 3 -> 1 169remx153 remainder 1 4 -> 1 170remx154 remainder 1 5 -> 1 171remx155 remainder 1 6 -> 1 172remx156 remainder 1 7 -> 1 173remx157 remainder 1 8 -> 1 174remx158 remainder 1 9 -> 1 175remx159 remainder 1 10 -> 1 176remx160 remainder 1 1 -> 0 177remx161 remainder 2 1 -> 0 178remx162 remainder 3 1 -> 0 179remx163 remainder 4 1 -> 0 180remx164 remainder 5 1 -> 0 181remx165 remainder 6 1 -> 0 182remx166 remainder 7 1 -> 0 183remx167 remainder 8 1 -> 0 184remx168 remainder 9 1 -> 0 185remx169 remainder 10 1 -> 0 186 187-- some differences from remainderNear 188remx171 remainder 0.4 1.020 -> 0.400 189remx172 remainder 0.50 1.020 -> 0.500 190remx173 remainder 0.51 1.020 -> 0.510 191remx174 remainder 0.52 1.020 -> 0.520 192remx175 remainder 0.6 1.020 -> 0.600 193 194 195-- More flavours of remainder by 0 196maxexponent: 999999999 197minexponent: -999999999 198remx201 remainder 0 0 -> NaN Division_undefined 199remx202 remainder 0.0E5 0 -> NaN Division_undefined 200remx203 remainder 0.000 0 -> NaN Division_undefined 201remx204 remainder 0.0001 0 -> NaN Invalid_operation 202remx205 remainder 0.01 0 -> NaN Invalid_operation 203remx206 remainder 0.1 0 -> NaN Invalid_operation 204remx207 remainder 1 0 -> NaN Invalid_operation 205remx208 remainder 1 0.0 -> NaN Invalid_operation 206remx209 remainder 10 0.0 -> NaN Invalid_operation 207remx210 remainder 1E+100 0.0 -> NaN Invalid_operation 208remx211 remainder 1E+1000 0 -> NaN Invalid_operation 209 210-- some differences from remainderNear 211remx231 remainder -0.4 1.020 -> -0.400 212remx232 remainder -0.50 1.020 -> -0.500 213remx233 remainder -0.51 1.020 -> -0.510 214remx234 remainder -0.52 1.020 -> -0.520 215remx235 remainder -0.6 1.020 -> -0.600 216 217-- high Xs 218remx240 remainder 1E+2 1.00 -> 0.00 219 220 221-- test some cases that are close to exponent overflow 222maxexponent: 999999999 223minexponent: -999999999 224remx270 remainder 1 1e999999999 -> 1 225remx271 remainder 1 0.9e999999999 -> 1 226remx272 remainder 1 0.99e999999999 -> 1 227remx273 remainder 1 0.999999999e999999999 -> 1 228remx274 remainder 9e999999999 1 -> NaN Division_impossible 229remx275 remainder 9.9e999999999 1 -> NaN Division_impossible 230remx276 remainder 9.99e999999999 1 -> NaN Division_impossible 231remx277 remainder 9.99999999e999999999 1 -> NaN Division_impossible 232 233remx280 remainder 0.1 9e-999999999 -> NaN Division_impossible 234remx281 remainder 0.1 99e-999999999 -> NaN Division_impossible 235remx282 remainder 0.1 999e-999999999 -> NaN Division_impossible 236 237remx283 remainder 0.1 9e-999999998 -> NaN Division_impossible 238remx284 remainder 0.1 99e-999999998 -> NaN Division_impossible 239remx285 remainder 0.1 999e-999999998 -> NaN Division_impossible 240remx286 remainder 0.1 999e-999999997 -> NaN Division_impossible 241remx287 remainder 0.1 9999e-999999997 -> NaN Division_impossible 242remx288 remainder 0.1 99999e-999999997 -> NaN Division_impossible 243 244-- remx3xx are from DiagBigDecimal 245remx301 remainder 1 3 -> 1 246remx302 remainder 5 5 -> 0 247remx303 remainder 13 10 -> 3 248remx304 remainder 13 50 -> 13 249remx305 remainder 13 100 -> 13 250remx306 remainder 13 1000 -> 13 251remx307 remainder .13 1 -> 0.13 252remx308 remainder 0.133 1 -> 0.133 253remx309 remainder 0.1033 1 -> 0.1033 254remx310 remainder 1.033 1 -> 0.033 255remx311 remainder 10.33 1 -> 0.33 256remx312 remainder 10.33 10 -> 0.33 257remx313 remainder 103.3 1 -> 0.3 258remx314 remainder 133 10 -> 3 259remx315 remainder 1033 10 -> 3 260remx316 remainder 1033 50 -> 33 261remx317 remainder 101.0 3 -> 2.0 262remx318 remainder 102.0 3 -> 0.0 263remx319 remainder 103.0 3 -> 1.0 264remx320 remainder 2.40 1 -> 0.40 265remx321 remainder 2.400 1 -> 0.400 266remx322 remainder 2.4 1 -> 0.4 267remx323 remainder 2.4 2 -> 0.4 268remx324 remainder 2.400 2 -> 0.400 269remx325 remainder 1 0.3 -> 0.1 270remx326 remainder 1 0.30 -> 0.10 271remx327 remainder 1 0.300 -> 0.100 272remx328 remainder 1 0.3000 -> 0.1000 273remx329 remainder 1.0 0.3 -> 0.1 274remx330 remainder 1.00 0.3 -> 0.10 275remx331 remainder 1.000 0.3 -> 0.100 276remx332 remainder 1.0000 0.3 -> 0.1000 277remx333 remainder 0.5 2 -> 0.5 278remx334 remainder 0.5 2.1 -> 0.5 279remx335 remainder 0.5 2.01 -> 0.50 280remx336 remainder 0.5 2.001 -> 0.500 281remx337 remainder 0.50 2 -> 0.50 282remx338 remainder 0.50 2.01 -> 0.50 283remx339 remainder 0.50 2.001 -> 0.500 284 285remx340 remainder 0.5 0.5000001 -> 0.5000000 286remx341 remainder 0.5 0.50000001 -> 0.50000000 287remx342 remainder 0.5 0.500000001 -> 0.500000000 288remx343 remainder 0.5 0.5000000001 -> 0.500000000 Rounded 289remx344 remainder 0.5 0.50000000001 -> 0.500000000 Rounded 290remx345 remainder 0.5 0.4999999 -> 1E-7 291remx346 remainder 0.5 0.49999999 -> 1E-8 292remx347 remainder 0.5 0.499999999 -> 1E-9 293remx348 remainder 0.5 0.4999999999 -> 1E-10 294remx349 remainder 0.5 0.49999999999 -> 1E-11 295remx350 remainder 0.5 0.499999999999 -> 1E-12 296 297remx351 remainder 0.03 7 -> 0.03 298remx352 remainder 5 2 -> 1 299remx353 remainder 4.1 2 -> 0.1 300remx354 remainder 4.01 2 -> 0.01 301remx355 remainder 4.001 2 -> 0.001 302remx356 remainder 4.0001 2 -> 0.0001 303remx357 remainder 4.00001 2 -> 0.00001 304remx358 remainder 4.000001 2 -> 0.000001 305remx359 remainder 4.0000001 2 -> 1E-7 306 307remx360 remainder 1.2 0.7345 -> 0.4655 308remx361 remainder 0.8 12 -> 0.8 309remx362 remainder 0.8 0.2 -> 0.0 310remx363 remainder 0.8 0.3 -> 0.2 311remx364 remainder 0.800 12 -> 0.800 312remx365 remainder 0.800 1.7 -> 0.800 313remx366 remainder 2.400 2 -> 0.400 314 315precision: 6 316remx371 remainder 2.400 2 -> 0.400 317precision: 3 318-- long operand, rounded, case 319remx372 remainder 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded 320-- 12000000000000 321 322precision: 5 323remx381 remainder 12345 1 -> 0 324remx382 remainder 12345 1.0001 -> 0.7657 325remx383 remainder 12345 1.001 -> 0.668 326remx384 remainder 12345 1.01 -> 0.78 327remx385 remainder 12345 1.1 -> 0.8 328remx386 remainder 12355 4 -> 3 329remx387 remainder 12345 4 -> 1 330remx388 remainder 12355 4.0001 -> 2.6912 331remx389 remainder 12345 4.0001 -> 0.6914 332remx390 remainder 12345 4.9 -> 1.9 333remx391 remainder 12345 4.99 -> 4.73 334remx392 remainder 12345 4.999 -> 2.469 335remx393 remainder 12345 4.9999 -> 0.2469 336remx394 remainder 12345 5 -> 0 337remx395 remainder 12345 5.0001 -> 4.7532 338remx396 remainder 12345 5.001 -> 2.532 339remx397 remainder 12345 5.01 -> 0.36 340remx398 remainder 12345 5.1 -> 3.0 341 342precision: 9 343-- the nasty division-by-1 cases 344remx401 remainder 0.5 1 -> 0.5 345remx402 remainder 0.55 1 -> 0.55 346remx403 remainder 0.555 1 -> 0.555 347remx404 remainder 0.5555 1 -> 0.5555 348remx405 remainder 0.55555 1 -> 0.55555 349remx406 remainder 0.555555 1 -> 0.555555 350remx407 remainder 0.5555555 1 -> 0.5555555 351remx408 remainder 0.55555555 1 -> 0.55555555 352remx409 remainder 0.555555555 1 -> 0.555555555 353 354-- zero signs 355remx650 remainder 1 1 -> 0 356remx651 remainder -1 1 -> -0 357remx652 remainder 1 -1 -> 0 358remx653 remainder -1 -1 -> -0 359remx654 remainder 0 1 -> 0 360remx655 remainder -0 1 -> -0 361remx656 remainder 0 -1 -> 0 362remx657 remainder -0 -1 -> -0 363remx658 remainder 0.00 1 -> 0.00 364remx659 remainder -0.00 1 -> -0.00 365 366-- Specials 367remx680 remainder Inf -Inf -> NaN Invalid_operation 368remx681 remainder Inf -1000 -> NaN Invalid_operation 369remx682 remainder Inf -1 -> NaN Invalid_operation 370remx683 remainder Inf 0 -> NaN Invalid_operation 371remx684 remainder Inf -0 -> NaN Invalid_operation 372remx685 remainder Inf 1 -> NaN Invalid_operation 373remx686 remainder Inf 1000 -> NaN Invalid_operation 374remx687 remainder Inf Inf -> NaN Invalid_operation 375remx688 remainder -1000 Inf -> -1000 376remx689 remainder -Inf Inf -> NaN Invalid_operation 377remx691 remainder -1 Inf -> -1 378remx692 remainder 0 Inf -> 0 379remx693 remainder -0 Inf -> -0 380remx694 remainder 1 Inf -> 1 381remx695 remainder 1000 Inf -> 1000 382remx696 remainder Inf Inf -> NaN Invalid_operation 383 384remx700 remainder -Inf -Inf -> NaN Invalid_operation 385remx701 remainder -Inf -1000 -> NaN Invalid_operation 386remx702 remainder -Inf -1 -> NaN Invalid_operation 387remx703 remainder -Inf -0 -> NaN Invalid_operation 388remx704 remainder -Inf 0 -> NaN Invalid_operation 389remx705 remainder -Inf 1 -> NaN Invalid_operation 390remx706 remainder -Inf 1000 -> NaN Invalid_operation 391remx707 remainder -Inf Inf -> NaN Invalid_operation 392remx708 remainder -Inf -Inf -> NaN Invalid_operation 393remx709 remainder -1000 Inf -> -1000 394remx710 remainder -1 -Inf -> -1 395remx711 remainder -0 -Inf -> -0 396remx712 remainder 0 -Inf -> 0 397remx713 remainder 1 -Inf -> 1 398remx714 remainder 1000 -Inf -> 1000 399remx715 remainder Inf -Inf -> NaN Invalid_operation 400 401remx721 remainder NaN -Inf -> NaN 402remx722 remainder NaN -1000 -> NaN 403remx723 remainder NaN -1 -> NaN 404remx724 remainder NaN -0 -> NaN 405remx725 remainder -NaN 0 -> -NaN 406remx726 remainder NaN 1 -> NaN 407remx727 remainder NaN 1000 -> NaN 408remx728 remainder NaN Inf -> NaN 409remx729 remainder NaN -NaN -> NaN 410remx730 remainder -Inf NaN -> NaN 411remx731 remainder -1000 NaN -> NaN 412remx732 remainder -1 NaN -> NaN 413remx733 remainder -0 -NaN -> -NaN 414remx734 remainder 0 NaN -> NaN 415remx735 remainder 1 -NaN -> -NaN 416remx736 remainder 1000 NaN -> NaN 417remx737 remainder Inf NaN -> NaN 418 419remx741 remainder sNaN -Inf -> NaN Invalid_operation 420remx742 remainder sNaN -1000 -> NaN Invalid_operation 421remx743 remainder -sNaN -1 -> -NaN Invalid_operation 422remx744 remainder sNaN -0 -> NaN Invalid_operation 423remx745 remainder sNaN 0 -> NaN Invalid_operation 424remx746 remainder sNaN 1 -> NaN Invalid_operation 425remx747 remainder sNaN 1000 -> NaN Invalid_operation 426remx749 remainder sNaN NaN -> NaN Invalid_operation 427remx750 remainder sNaN sNaN -> NaN Invalid_operation 428remx751 remainder NaN sNaN -> NaN Invalid_operation 429remx752 remainder -Inf sNaN -> NaN Invalid_operation 430remx753 remainder -1000 sNaN -> NaN Invalid_operation 431remx754 remainder -1 sNaN -> NaN Invalid_operation 432remx755 remainder -0 sNaN -> NaN Invalid_operation 433remx756 remainder 0 sNaN -> NaN Invalid_operation 434remx757 remainder 1 sNaN -> NaN Invalid_operation 435remx758 remainder 1000 sNaN -> NaN Invalid_operation 436remx759 remainder Inf -sNaN -> -NaN Invalid_operation 437 438-- propaging NaNs 439remx760 remainder NaN1 NaN7 -> NaN1 440remx761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation 441remx762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation 442remx763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation 443remx764 remainder 15 NaN11 -> NaN11 444remx765 remainder NaN6 NaN12 -> NaN6 445remx766 remainder Inf NaN13 -> NaN13 446remx767 remainder NaN14 -Inf -> NaN14 447remx768 remainder 0 NaN15 -> NaN15 448remx769 remainder NaN16 -0 -> NaN16 449 450-- test some cases that are close to exponent overflow 451maxexponent: 999999999 452minexponent: -999999999 453remx770 remainder 1 1e999999999 -> 1 454remx771 remainder 1 0.9e999999999 -> 1 455remx772 remainder 1 0.99e999999999 -> 1 456remx773 remainder 1 0.999999999e999999999 -> 1 457remx774 remainder 9e999999999 1 -> NaN Division_impossible 458remx775 remainder 9.9e999999999 1 -> NaN Division_impossible 459remx776 remainder 9.99e999999999 1 -> NaN Division_impossible 460remx777 remainder 9.99999999e999999999 1 -> NaN Division_impossible 461 462-- long operand checks 463maxexponent: 999 464minexponent: -999 465precision: 9 466remx801 remainder 12345678000 100 -> 0 467remx802 remainder 1 12345678000 -> 1 468remx803 remainder 1234567800 10 -> 0 469remx804 remainder 1 1234567800 -> 1 470remx805 remainder 1234567890 10 -> 0 471remx806 remainder 1 1234567890 -> 1 472remx807 remainder 1234567891 10 -> 1 473remx808 remainder 1 1234567891 -> 1 474remx809 remainder 12345678901 100 -> 1 475remx810 remainder 1 12345678901 -> 1 476remx811 remainder 1234567896 10 -> 6 477remx812 remainder 1 1234567896 -> 1 478 479precision: 15 480remx821 remainder 12345678000 100 -> 0 481remx822 remainder 1 12345678000 -> 1 482remx823 remainder 1234567800 10 -> 0 483remx824 remainder 1 1234567800 -> 1 484remx825 remainder 1234567890 10 -> 0 485remx826 remainder 1 1234567890 -> 1 486remx827 remainder 1234567891 10 -> 1 487remx828 remainder 1 1234567891 -> 1 488remx829 remainder 12345678901 100 -> 1 489remx830 remainder 1 12345678901 -> 1 490remx831 remainder 1234567896 10 -> 6 491remx832 remainder 1 1234567896 -> 1 492 493-- worries from divideint 494precision: 8 495remx840 remainder 100000000.0 1 -> NaN Division_impossible 496remx841 remainder 100000000.4 1 -> NaN Division_impossible 497remx842 remainder 100000000.5 1 -> NaN Division_impossible 498remx843 remainder 100000000.9 1 -> NaN Division_impossible 499remx844 remainder 100000000.999 1 -> NaN Division_impossible 500precision: 6 501remx850 remainder 100000003 5 -> NaN Division_impossible 502remx851 remainder 10000003 5 -> NaN Division_impossible 503remx852 remainder 1000003 5 -> 3 504remx853 remainder 100003 5 -> 3 505remx854 remainder 10003 5 -> 3 506remx855 remainder 1003 5 -> 3 507remx856 remainder 103 5 -> 3 508remx857 remainder 13 5 -> 3 509remx858 remainder 1 5 -> 1 510 511-- Vladimir's cases 512remx860 remainder 123.0e1 10000000000000000 -> 1230 513remx861 remainder 1230 10000000000000000 -> 1230 514remx862 remainder 12.3e2 10000000000000000 -> 1230 515remx863 remainder 1.23e3 10000000000000000 -> 1230 516remx864 remainder 123e1 10000000000000000 -> 1230 517remx870 remainder 123e1 1000000000000000 -> 1230 518remx871 remainder 123e1 100000000000000 -> 1230 519remx872 remainder 123e1 10000000000000 -> 1230 520remx873 remainder 123e1 1000000000000 -> 1230 521remx874 remainder 123e1 100000000000 -> 1230 522remx875 remainder 123e1 10000000000 -> 1230 523remx876 remainder 123e1 1000000000 -> 1230 524remx877 remainder 123e1 100000000 -> 1230 525remx878 remainder 1230 100000000 -> 1230 526remx879 remainder 123e1 10000000 -> 1230 527remx880 remainder 123e1 1000000 -> 1230 528remx881 remainder 123e1 100000 -> 1230 529remx882 remainder 123e1 10000 -> 1230 530remx883 remainder 123e1 1000 -> 230 531remx884 remainder 123e1 100 -> 30 532remx885 remainder 123e1 10 -> 0 533remx886 remainder 123e1 1 -> 0 534 535remx889 remainder 123e1 20000000000000000 -> 1230 536remx890 remainder 123e1 2000000000000000 -> 1230 537remx891 remainder 123e1 200000000000000 -> 1230 538remx892 remainder 123e1 20000000000000 -> 1230 539remx893 remainder 123e1 2000000000000 -> 1230 540remx894 remainder 123e1 200000000000 -> 1230 541remx895 remainder 123e1 20000000000 -> 1230 542remx896 remainder 123e1 2000000000 -> 1230 543remx897 remainder 123e1 200000000 -> 1230 544remx899 remainder 123e1 20000000 -> 1230 545remx900 remainder 123e1 2000000 -> 1230 546remx901 remainder 123e1 200000 -> 1230 547remx902 remainder 123e1 20000 -> 1230 548remx903 remainder 123e1 2000 -> 1230 549remx904 remainder 123e1 200 -> 30 550remx905 remainder 123e1 20 -> 10 551remx906 remainder 123e1 2 -> 0 552 553remx909 remainder 123e1 50000000000000000 -> 1230 554remx910 remainder 123e1 5000000000000000 -> 1230 555remx911 remainder 123e1 500000000000000 -> 1230 556remx912 remainder 123e1 50000000000000 -> 1230 557remx913 remainder 123e1 5000000000000 -> 1230 558remx914 remainder 123e1 500000000000 -> 1230 559remx915 remainder 123e1 50000000000 -> 1230 560remx916 remainder 123e1 5000000000 -> 1230 561remx917 remainder 123e1 500000000 -> 1230 562remx919 remainder 123e1 50000000 -> 1230 563remx920 remainder 123e1 5000000 -> 1230 564remx921 remainder 123e1 500000 -> 1230 565remx922 remainder 123e1 50000 -> 1230 566remx923 remainder 123e1 5000 -> 1230 567remx924 remainder 123e1 500 -> 230 568remx925 remainder 123e1 50 -> 30 569remx926 remainder 123e1 5 -> 0 570 571remx929 remainder 123e1 90000000000000000 -> 1230 572remx930 remainder 123e1 9000000000000000 -> 1230 573remx931 remainder 123e1 900000000000000 -> 1230 574remx932 remainder 123e1 90000000000000 -> 1230 575remx933 remainder 123e1 9000000000000 -> 1230 576remx934 remainder 123e1 900000000000 -> 1230 577remx935 remainder 123e1 90000000000 -> 1230 578remx936 remainder 123e1 9000000000 -> 1230 579remx937 remainder 123e1 900000000 -> 1230 580remx939 remainder 123e1 90000000 -> 1230 581remx940 remainder 123e1 9000000 -> 1230 582remx941 remainder 123e1 900000 -> 1230 583remx942 remainder 123e1 90000 -> 1230 584remx943 remainder 123e1 9000 -> 1230 585remx944 remainder 123e1 900 -> 330 586remx945 remainder 123e1 90 -> 60 587remx946 remainder 123e1 9 -> 6 588 589remx950 remainder 123e1 10000000000000000 -> 1230 590remx951 remainder 123e1 100000000000000000 -> 1230 591remx952 remainder 123e1 1000000000000000000 -> 1230 592remx953 remainder 123e1 10000000000000000000 -> 1230 593remx954 remainder 123e1 100000000000000000000 -> 1230 594remx955 remainder 123e1 1000000000000000000000 -> 1230 595remx956 remainder 123e1 10000000000000000000000 -> 1230 596remx957 remainder 123e1 100000000000000000000000 -> 1230 597remx958 remainder 123e1 1000000000000000000000000 -> 1230 598remx959 remainder 123e1 10000000000000000000000000 -> 1230 599 600remx960 remainder 123e1 19999999999999999 -> 1230 601remx961 remainder 123e1 199999999999999990 -> 1230 602remx962 remainder 123e1 1999999999999999999 -> 1230 603remx963 remainder 123e1 19999999999999999990 -> 1230 604remx964 remainder 123e1 199999999999999999999 -> 1230 605remx965 remainder 123e1 1999999999999999999990 -> 1230 606remx966 remainder 123e1 19999999999999999999999 -> 1230 607remx967 remainder 123e1 199999999999999999999990 -> 1230 608remx968 remainder 123e1 1999999999999999999999999 -> 1230 609remx969 remainder 123e1 19999999999999999999999990 -> 1230 610 611remx970 remainder 1e1 10000000000000000 -> 10 612remx971 remainder 1e1 100000000000000000 -> 10 613remx972 remainder 1e1 1000000000000000000 -> 10 614remx973 remainder 1e1 10000000000000000000 -> 10 615remx974 remainder 1e1 100000000000000000000 -> 10 616remx975 remainder 1e1 1000000000000000000000 -> 10 617remx976 remainder 1e1 10000000000000000000000 -> 10 618remx977 remainder 1e1 100000000000000000000000 -> 10 619remx978 remainder 1e1 1000000000000000000000000 -> 10 620remx979 remainder 1e1 10000000000000000000000000 -> 10 621 622remx980 remainder 123e1 1000E999999 -> 1.23E+3 -- 123E+1 internally 623 624-- overflow and underflow tests [from divide] 625precision: 9 626maxexponent: 999999999 627minexponent: -999999999 628remx990 remainder +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded 629remx991 remainder 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible 630remx992 remainder +0.100 9E+999999999 -> 0.100 631remx993 remainder 9E-999999999 +9.100 -> 9E-999999999 632remx995 remainder -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded 633remx996 remainder 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible 634remx997 remainder -0.100 9E+999999999 -> -0.100 635remx998 remainder 9E-999999999 -9.100 -> 9E-999999999 636 637-- Null tests 638remx1000 remainder 10 # -> NaN Invalid_operation 639remx1001 remainder # 10 -> NaN Invalid_operation 640 641