1------------------------------------------------------------------------ 2-- ddRemainder.decTest -- decDouble 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 22precision: 16 23maxExponent: 384 24minExponent: -383 25extended: 1 26clamp: 1 27rounding: half_even 28 29-- sanity checks (as base, above) 30ddrem001 remainder 1 1 -> 0 31ddrem002 remainder 2 1 -> 0 32ddrem003 remainder 1 2 -> 1 33ddrem004 remainder 2 2 -> 0 34ddrem005 remainder 0 1 -> 0 35ddrem006 remainder 0 2 -> 0 36ddrem007 remainder 1 3 -> 1 37ddrem008 remainder 2 3 -> 2 38ddrem009 remainder 3 3 -> 0 39 40ddrem010 remainder 2.4 1 -> 0.4 41ddrem011 remainder 2.4 -1 -> 0.4 42ddrem012 remainder -2.4 1 -> -0.4 43ddrem013 remainder -2.4 -1 -> -0.4 44ddrem014 remainder 2.40 1 -> 0.40 45ddrem015 remainder 2.400 1 -> 0.400 46ddrem016 remainder 2.4 2 -> 0.4 47ddrem017 remainder 2.400 2 -> 0.400 48ddrem018 remainder 2. 2 -> 0 49ddrem019 remainder 20 20 -> 0 50 51ddrem020 remainder 187 187 -> 0 52ddrem021 remainder 5 2 -> 1 53ddrem022 remainder 5 2.0 -> 1.0 54ddrem023 remainder 5 2.000 -> 1.000 55ddrem024 remainder 5 0.200 -> 0.000 56ddrem025 remainder 5 0.200 -> 0.000 57 58ddrem030 remainder 1 2 -> 1 59ddrem031 remainder 1 4 -> 1 60ddrem032 remainder 1 8 -> 1 61 62ddrem033 remainder 1 16 -> 1 63ddrem034 remainder 1 32 -> 1 64ddrem035 remainder 1 64 -> 1 65ddrem040 remainder 1 -2 -> 1 66ddrem041 remainder 1 -4 -> 1 67ddrem042 remainder 1 -8 -> 1 68ddrem043 remainder 1 -16 -> 1 69ddrem044 remainder 1 -32 -> 1 70ddrem045 remainder 1 -64 -> 1 71ddrem050 remainder -1 2 -> -1 72ddrem051 remainder -1 4 -> -1 73ddrem052 remainder -1 8 -> -1 74ddrem053 remainder -1 16 -> -1 75ddrem054 remainder -1 32 -> -1 76ddrem055 remainder -1 64 -> -1 77ddrem060 remainder -1 -2 -> -1 78ddrem061 remainder -1 -4 -> -1 79ddrem062 remainder -1 -8 -> -1 80ddrem063 remainder -1 -16 -> -1 81ddrem064 remainder -1 -32 -> -1 82ddrem065 remainder -1 -64 -> -1 83 84ddrem066 remainder 999999999 1 -> 0 85ddrem067 remainder 999999999.4 1 -> 0.4 86ddrem068 remainder 999999999.5 1 -> 0.5 87ddrem069 remainder 999999999.9 1 -> 0.9 88ddrem070 remainder 999999999.999 1 -> 0.999 89ddrem071 remainder 999999.999999 1 -> 0.999999 90ddrem072 remainder 9 1 -> 0 91ddrem073 remainder 9999999999999999 1 -> 0 92ddrem074 remainder 9999999999999999 2 -> 1 93ddrem075 remainder 9999999999999999 3 -> 0 94ddrem076 remainder 9999999999999999 4 -> 3 95 96ddrem080 remainder 0. 1 -> 0 97ddrem081 remainder .0 1 -> 0.0 98ddrem082 remainder 0.00 1 -> 0.00 99ddrem083 remainder 0.00E+9 1 -> 0 100ddrem084 remainder 0.00E+3 1 -> 0 101ddrem085 remainder 0.00E+2 1 -> 0 102ddrem086 remainder 0.00E+1 1 -> 0.0 103ddrem087 remainder 0.00E+0 1 -> 0.00 104ddrem088 remainder 0.00E-0 1 -> 0.00 105ddrem089 remainder 0.00E-1 1 -> 0.000 106ddrem090 remainder 0.00E-2 1 -> 0.0000 107ddrem091 remainder 0.00E-3 1 -> 0.00000 108ddrem092 remainder 0.00E-4 1 -> 0.000000 109ddrem093 remainder 0.00E-5 1 -> 0E-7 110ddrem094 remainder 0.00E-6 1 -> 0E-8 111ddrem095 remainder 0.0000E-50 1 -> 0E-54 112 113-- Various flavours of remainder by 0 114ddrem101 remainder 0 0 -> NaN Division_undefined 115ddrem102 remainder 0 -0 -> NaN Division_undefined 116ddrem103 remainder -0 0 -> NaN Division_undefined 117ddrem104 remainder -0 -0 -> NaN Division_undefined 118ddrem105 remainder 0.0E5 0 -> NaN Division_undefined 119ddrem106 remainder 0.000 0 -> NaN Division_undefined 120-- [Some think this next group should be Division_by_zero exception, but 121-- IEEE 854 is explicit that it is Invalid operation .. for 122-- remainder-near, anyway] 123ddrem107 remainder 0.0001 0 -> NaN Invalid_operation 124ddrem108 remainder 0.01 0 -> NaN Invalid_operation 125ddrem109 remainder 0.1 0 -> NaN Invalid_operation 126ddrem110 remainder 1 0 -> NaN Invalid_operation 127ddrem111 remainder 1 0.0 -> NaN Invalid_operation 128ddrem112 remainder 10 0.0 -> NaN Invalid_operation 129ddrem113 remainder 1E+100 0.0 -> NaN Invalid_operation 130ddrem114 remainder 1E+380 0 -> NaN Invalid_operation 131ddrem115 remainder 0.0001 -0 -> NaN Invalid_operation 132ddrem116 remainder 0.01 -0 -> NaN Invalid_operation 133ddrem119 remainder 0.1 -0 -> NaN Invalid_operation 134ddrem120 remainder 1 -0 -> NaN Invalid_operation 135ddrem121 remainder 1 -0.0 -> NaN Invalid_operation 136ddrem122 remainder 10 -0.0 -> NaN Invalid_operation 137ddrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation 138ddrem124 remainder 1E+384 -0 -> NaN Invalid_operation 139-- and zeros on left 140ddrem130 remainder 0 1 -> 0 141ddrem131 remainder 0 -1 -> 0 142ddrem132 remainder 0.0 1 -> 0.0 143ddrem133 remainder 0.0 -1 -> 0.0 144ddrem134 remainder -0 1 -> -0 145ddrem135 remainder -0 -1 -> -0 146ddrem136 remainder -0.0 1 -> -0.0 147ddrem137 remainder -0.0 -1 -> -0.0 148 149-- 0.5ers 150ddrem143 remainder 0.5 2 -> 0.5 151ddrem144 remainder 0.5 2.1 -> 0.5 152ddrem145 remainder 0.5 2.01 -> 0.50 153ddrem146 remainder 0.5 2.001 -> 0.500 154ddrem147 remainder 0.50 2 -> 0.50 155ddrem148 remainder 0.50 2.01 -> 0.50 156ddrem149 remainder 0.50 2.001 -> 0.500 157 158-- steadies 159ddrem150 remainder 1 1 -> 0 160ddrem151 remainder 1 2 -> 1 161ddrem152 remainder 1 3 -> 1 162ddrem153 remainder 1 4 -> 1 163ddrem154 remainder 1 5 -> 1 164ddrem155 remainder 1 6 -> 1 165ddrem156 remainder 1 7 -> 1 166ddrem157 remainder 1 8 -> 1 167ddrem158 remainder 1 9 -> 1 168ddrem159 remainder 1 10 -> 1 169ddrem160 remainder 1 1 -> 0 170ddrem161 remainder 2 1 -> 0 171ddrem162 remainder 3 1 -> 0 172ddrem163 remainder 4 1 -> 0 173ddrem164 remainder 5 1 -> 0 174ddrem165 remainder 6 1 -> 0 175ddrem166 remainder 7 1 -> 0 176ddrem167 remainder 8 1 -> 0 177ddrem168 remainder 9 1 -> 0 178ddrem169 remainder 10 1 -> 0 179 180-- some differences from remainderNear 181ddrem171 remainder 0.4 1.020 -> 0.400 182ddrem172 remainder 0.50 1.020 -> 0.500 183ddrem173 remainder 0.51 1.020 -> 0.510 184ddrem174 remainder 0.52 1.020 -> 0.520 185ddrem175 remainder 0.6 1.020 -> 0.600 186 187-- More flavours of remainder by 0 188ddrem201 remainder 0 0 -> NaN Division_undefined 189ddrem202 remainder 0.0E5 0 -> NaN Division_undefined 190ddrem203 remainder 0.000 0 -> NaN Division_undefined 191ddrem204 remainder 0.0001 0 -> NaN Invalid_operation 192ddrem205 remainder 0.01 0 -> NaN Invalid_operation 193ddrem206 remainder 0.1 0 -> NaN Invalid_operation 194ddrem207 remainder 1 0 -> NaN Invalid_operation 195ddrem208 remainder 1 0.0 -> NaN Invalid_operation 196ddrem209 remainder 10 0.0 -> NaN Invalid_operation 197ddrem210 remainder 1E+100 0.0 -> NaN Invalid_operation 198ddrem211 remainder 1E+380 0 -> NaN Invalid_operation 199 200-- some differences from remainderNear 201ddrem231 remainder -0.4 1.020 -> -0.400 202ddrem232 remainder -0.50 1.020 -> -0.500 203ddrem233 remainder -0.51 1.020 -> -0.510 204ddrem234 remainder -0.52 1.020 -> -0.520 205ddrem235 remainder -0.6 1.020 -> -0.600 206 207-- high Xs 208ddrem240 remainder 1E+2 1.00 -> 0.00 209 210-- ddrem3xx are from DiagBigDecimal 211ddrem301 remainder 1 3 -> 1 212ddrem302 remainder 5 5 -> 0 213ddrem303 remainder 13 10 -> 3 214ddrem304 remainder 13 50 -> 13 215ddrem305 remainder 13 100 -> 13 216ddrem306 remainder 13 1000 -> 13 217ddrem307 remainder .13 1 -> 0.13 218ddrem308 remainder 0.133 1 -> 0.133 219ddrem309 remainder 0.1033 1 -> 0.1033 220ddrem310 remainder 1.033 1 -> 0.033 221ddrem311 remainder 10.33 1 -> 0.33 222ddrem312 remainder 10.33 10 -> 0.33 223ddrem313 remainder 103.3 1 -> 0.3 224ddrem314 remainder 133 10 -> 3 225ddrem315 remainder 1033 10 -> 3 226ddrem316 remainder 1033 50 -> 33 227ddrem317 remainder 101.0 3 -> 2.0 228ddrem318 remainder 102.0 3 -> 0.0 229ddrem319 remainder 103.0 3 -> 1.0 230ddrem320 remainder 2.40 1 -> 0.40 231ddrem321 remainder 2.400 1 -> 0.400 232ddrem322 remainder 2.4 1 -> 0.4 233ddrem323 remainder 2.4 2 -> 0.4 234ddrem324 remainder 2.400 2 -> 0.400 235ddrem325 remainder 1 0.3 -> 0.1 236ddrem326 remainder 1 0.30 -> 0.10 237ddrem327 remainder 1 0.300 -> 0.100 238ddrem328 remainder 1 0.3000 -> 0.1000 239ddrem329 remainder 1.0 0.3 -> 0.1 240ddrem330 remainder 1.00 0.3 -> 0.10 241ddrem331 remainder 1.000 0.3 -> 0.100 242ddrem332 remainder 1.0000 0.3 -> 0.1000 243ddrem333 remainder 0.5 2 -> 0.5 244ddrem334 remainder 0.5 2.1 -> 0.5 245ddrem335 remainder 0.5 2.01 -> 0.50 246ddrem336 remainder 0.5 2.001 -> 0.500 247ddrem337 remainder 0.50 2 -> 0.50 248ddrem338 remainder 0.50 2.01 -> 0.50 249ddrem339 remainder 0.50 2.001 -> 0.500 250 251ddrem340 remainder 0.5 0.5000001 -> 0.5000000 252ddrem341 remainder 0.5 0.50000001 -> 0.50000000 253ddrem342 remainder 0.5 0.500000001 -> 0.500000000 254ddrem343 remainder 0.5 0.5000000001 -> 0.5000000000 255ddrem344 remainder 0.5 0.50000000001 -> 0.50000000000 256ddrem345 remainder 0.5 0.4999999 -> 1E-7 257ddrem346 remainder 0.5 0.49999999 -> 1E-8 258ddrem347 remainder 0.5 0.499999999 -> 1E-9 259ddrem348 remainder 0.5 0.4999999999 -> 1E-10 260ddrem349 remainder 0.5 0.49999999999 -> 1E-11 261ddrem350 remainder 0.5 0.499999999999 -> 1E-12 262 263ddrem351 remainder 0.03 7 -> 0.03 264ddrem352 remainder 5 2 -> 1 265ddrem353 remainder 4.1 2 -> 0.1 266ddrem354 remainder 4.01 2 -> 0.01 267ddrem355 remainder 4.001 2 -> 0.001 268ddrem356 remainder 4.0001 2 -> 0.0001 269ddrem357 remainder 4.00001 2 -> 0.00001 270ddrem358 remainder 4.000001 2 -> 0.000001 271ddrem359 remainder 4.0000001 2 -> 1E-7 272 273ddrem360 remainder 1.2 0.7345 -> 0.4655 274ddrem361 remainder 0.8 12 -> 0.8 275ddrem362 remainder 0.8 0.2 -> 0.0 276ddrem363 remainder 0.8 0.3 -> 0.2 277ddrem364 remainder 0.800 12 -> 0.800 278ddrem365 remainder 0.800 1.7 -> 0.800 279ddrem366 remainder 2.400 2 -> 0.400 280 281ddrem371 remainder 2.400 2 -> 0.400 282 283ddrem381 remainder 12345 1 -> 0 284ddrem382 remainder 12345 1.0001 -> 0.7657 285ddrem383 remainder 12345 1.001 -> 0.668 286ddrem384 remainder 12345 1.01 -> 0.78 287ddrem385 remainder 12345 1.1 -> 0.8 288ddrem386 remainder 12355 4 -> 3 289ddrem387 remainder 12345 4 -> 1 290ddrem388 remainder 12355 4.0001 -> 2.6912 291ddrem389 remainder 12345 4.0001 -> 0.6914 292ddrem390 remainder 12345 4.9 -> 1.9 293ddrem391 remainder 12345 4.99 -> 4.73 294ddrem392 remainder 12345 4.999 -> 2.469 295ddrem393 remainder 12345 4.9999 -> 0.2469 296ddrem394 remainder 12345 5 -> 0 297ddrem395 remainder 12345 5.0001 -> 4.7532 298ddrem396 remainder 12345 5.001 -> 2.532 299ddrem397 remainder 12345 5.01 -> 0.36 300ddrem398 remainder 12345 5.1 -> 3.0 301 302-- the nasty division-by-1 cases 303ddrem401 remainder 0.5 1 -> 0.5 304ddrem402 remainder 0.55 1 -> 0.55 305ddrem403 remainder 0.555 1 -> 0.555 306ddrem404 remainder 0.5555 1 -> 0.5555 307ddrem405 remainder 0.55555 1 -> 0.55555 308ddrem406 remainder 0.555555 1 -> 0.555555 309ddrem407 remainder 0.5555555 1 -> 0.5555555 310ddrem408 remainder 0.55555555 1 -> 0.55555555 311ddrem409 remainder 0.555555555 1 -> 0.555555555 312 313-- folddowns 314ddrem421 remainder 1E+384 1 -> NaN Division_impossible 315ddrem422 remainder 1E+384 1E+383 -> 0E+369 Clamped 316ddrem423 remainder 1E+384 2E+383 -> 0E+369 Clamped 317ddrem424 remainder 1E+384 3E+383 -> 1.00000000000000E+383 Clamped 318ddrem425 remainder 1E+384 4E+383 -> 2.00000000000000E+383 Clamped 319ddrem426 remainder 1E+384 5E+383 -> 0E+369 Clamped 320ddrem427 remainder 1E+384 6E+383 -> 4.00000000000000E+383 Clamped 321ddrem428 remainder 1E+384 7E+383 -> 3.00000000000000E+383 Clamped 322ddrem429 remainder 1E+384 8E+383 -> 2.00000000000000E+383 Clamped 323ddrem430 remainder 1E+384 9E+383 -> 1.00000000000000E+383 Clamped 324-- tinies 325ddrem431 remainder 1E-397 1E-398 -> 0E-398 326ddrem432 remainder 1E-397 2E-398 -> 0E-398 327ddrem433 remainder 1E-397 3E-398 -> 1E-398 Subnormal 328ddrem434 remainder 1E-397 4E-398 -> 2E-398 Subnormal 329ddrem435 remainder 1E-397 5E-398 -> 0E-398 330ddrem436 remainder 1E-397 6E-398 -> 4E-398 Subnormal 331ddrem437 remainder 1E-397 7E-398 -> 3E-398 Subnormal 332ddrem438 remainder 1E-397 8E-398 -> 2E-398 Subnormal 333ddrem439 remainder 1E-397 9E-398 -> 1E-398 Subnormal 334ddrem440 remainder 1E-397 10E-398 -> 0E-398 335ddrem441 remainder 1E-397 11E-398 -> 1.0E-397 Subnormal 336ddrem442 remainder 100E-397 11E-398 -> 1.0E-397 Subnormal 337ddrem443 remainder 100E-397 20E-398 -> 0E-398 338ddrem444 remainder 100E-397 21E-398 -> 1.3E-397 Subnormal 339ddrem445 remainder 100E-397 30E-398 -> 1.0E-397 Subnormal 340 341-- zero signs 342ddrem650 remainder 1 1 -> 0 343ddrem651 remainder -1 1 -> -0 344ddrem652 remainder 1 -1 -> 0 345ddrem653 remainder -1 -1 -> -0 346ddrem654 remainder 0 1 -> 0 347ddrem655 remainder -0 1 -> -0 348ddrem656 remainder 0 -1 -> 0 349ddrem657 remainder -0 -1 -> -0 350ddrem658 remainder 0.00 1 -> 0.00 351ddrem659 remainder -0.00 1 -> -0.00 352 353-- Specials 354ddrem680 remainder Inf -Inf -> NaN Invalid_operation 355ddrem681 remainder Inf -1000 -> NaN Invalid_operation 356ddrem682 remainder Inf -1 -> NaN Invalid_operation 357ddrem683 remainder Inf 0 -> NaN Invalid_operation 358ddrem684 remainder Inf -0 -> NaN Invalid_operation 359ddrem685 remainder Inf 1 -> NaN Invalid_operation 360ddrem686 remainder Inf 1000 -> NaN Invalid_operation 361ddrem687 remainder Inf Inf -> NaN Invalid_operation 362ddrem688 remainder -1000 Inf -> -1000 363ddrem689 remainder -Inf Inf -> NaN Invalid_operation 364ddrem691 remainder -1 Inf -> -1 365ddrem692 remainder 0 Inf -> 0 366ddrem693 remainder -0 Inf -> -0 367ddrem694 remainder 1 Inf -> 1 368ddrem695 remainder 1000 Inf -> 1000 369ddrem696 remainder Inf Inf -> NaN Invalid_operation 370 371ddrem700 remainder -Inf -Inf -> NaN Invalid_operation 372ddrem701 remainder -Inf -1000 -> NaN Invalid_operation 373ddrem702 remainder -Inf -1 -> NaN Invalid_operation 374ddrem703 remainder -Inf -0 -> NaN Invalid_operation 375ddrem704 remainder -Inf 0 -> NaN Invalid_operation 376ddrem705 remainder -Inf 1 -> NaN Invalid_operation 377ddrem706 remainder -Inf 1000 -> NaN Invalid_operation 378ddrem707 remainder -Inf Inf -> NaN Invalid_operation 379ddrem708 remainder -Inf -Inf -> NaN Invalid_operation 380ddrem709 remainder -1000 Inf -> -1000 381ddrem710 remainder -1 -Inf -> -1 382ddrem711 remainder -0 -Inf -> -0 383ddrem712 remainder 0 -Inf -> 0 384ddrem713 remainder 1 -Inf -> 1 385ddrem714 remainder 1000 -Inf -> 1000 386ddrem715 remainder Inf -Inf -> NaN Invalid_operation 387 388ddrem721 remainder NaN -Inf -> NaN 389ddrem722 remainder NaN -1000 -> NaN 390ddrem723 remainder NaN -1 -> NaN 391ddrem724 remainder NaN -0 -> NaN 392ddrem725 remainder -NaN 0 -> -NaN 393ddrem726 remainder NaN 1 -> NaN 394ddrem727 remainder NaN 1000 -> NaN 395ddrem728 remainder NaN Inf -> NaN 396ddrem729 remainder NaN -NaN -> NaN 397ddrem730 remainder -Inf NaN -> NaN 398ddrem731 remainder -1000 NaN -> NaN 399ddrem732 remainder -1 NaN -> NaN 400ddrem733 remainder -0 -NaN -> -NaN 401ddrem734 remainder 0 NaN -> NaN 402ddrem735 remainder 1 -NaN -> -NaN 403ddrem736 remainder 1000 NaN -> NaN 404ddrem737 remainder Inf NaN -> NaN 405 406ddrem741 remainder sNaN -Inf -> NaN Invalid_operation 407ddrem742 remainder sNaN -1000 -> NaN Invalid_operation 408ddrem743 remainder -sNaN -1 -> -NaN Invalid_operation 409ddrem744 remainder sNaN -0 -> NaN Invalid_operation 410ddrem745 remainder sNaN 0 -> NaN Invalid_operation 411ddrem746 remainder sNaN 1 -> NaN Invalid_operation 412ddrem747 remainder sNaN 1000 -> NaN Invalid_operation 413ddrem749 remainder sNaN NaN -> NaN Invalid_operation 414ddrem750 remainder sNaN sNaN -> NaN Invalid_operation 415ddrem751 remainder NaN sNaN -> NaN Invalid_operation 416ddrem752 remainder -Inf sNaN -> NaN Invalid_operation 417ddrem753 remainder -1000 sNaN -> NaN Invalid_operation 418ddrem754 remainder -1 sNaN -> NaN Invalid_operation 419ddrem755 remainder -0 sNaN -> NaN Invalid_operation 420ddrem756 remainder 0 sNaN -> NaN Invalid_operation 421ddrem757 remainder 1 sNaN -> NaN Invalid_operation 422ddrem758 remainder 1000 sNaN -> NaN Invalid_operation 423ddrem759 remainder Inf -sNaN -> -NaN Invalid_operation 424 425-- propaging NaNs 426ddrem760 remainder NaN1 NaN7 -> NaN1 427ddrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation 428ddrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation 429ddrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation 430ddrem764 remainder 15 NaN11 -> NaN11 431ddrem765 remainder NaN6 NaN12 -> NaN6 432ddrem766 remainder Inf NaN13 -> NaN13 433ddrem767 remainder NaN14 -Inf -> NaN14 434ddrem768 remainder 0 NaN15 -> NaN15 435ddrem769 remainder NaN16 -0 -> NaN16 436 437-- edge cases of impossible 438ddrem770 remainder 1234567890123456 10 -> 6 439ddrem771 remainder 1234567890123456 1 -> 0 440ddrem772 remainder 1234567890123456 0.1 -> NaN Division_impossible 441ddrem773 remainder 1234567890123456 0.01 -> NaN Division_impossible 442 443-- long operand checks 444ddrem801 remainder 12345678000 100 -> 0 445ddrem802 remainder 1 12345678000 -> 1 446ddrem803 remainder 1234567800 10 -> 0 447ddrem804 remainder 1 1234567800 -> 1 448ddrem805 remainder 1234567890 10 -> 0 449ddrem806 remainder 1 1234567890 -> 1 450ddrem807 remainder 1234567891 10 -> 1 451ddrem808 remainder 1 1234567891 -> 1 452ddrem809 remainder 12345678901 100 -> 1 453ddrem810 remainder 1 12345678901 -> 1 454ddrem811 remainder 1234567896 10 -> 6 455ddrem812 remainder 1 1234567896 -> 1 456 457ddrem821 remainder 12345678000 100 -> 0 458ddrem822 remainder 1 12345678000 -> 1 459ddrem823 remainder 1234567800 10 -> 0 460ddrem824 remainder 1 1234567800 -> 1 461ddrem825 remainder 1234567890 10 -> 0 462ddrem826 remainder 1 1234567890 -> 1 463ddrem827 remainder 1234567891 10 -> 1 464ddrem828 remainder 1 1234567891 -> 1 465ddrem829 remainder 12345678901 100 -> 1 466ddrem830 remainder 1 12345678901 -> 1 467ddrem831 remainder 1234567896 10 -> 6 468ddrem832 remainder 1 1234567896 -> 1 469 470-- from divideint 471ddrem840 remainder 100000000.0 1 -> 0.0 472ddrem841 remainder 100000000.4 1 -> 0.4 473ddrem842 remainder 100000000.5 1 -> 0.5 474ddrem843 remainder 100000000.9 1 -> 0.9 475ddrem844 remainder 100000000.999 1 -> 0.999 476ddrem850 remainder 100000003 5 -> 3 477ddrem851 remainder 10000003 5 -> 3 478ddrem852 remainder 1000003 5 -> 3 479ddrem853 remainder 100003 5 -> 3 480ddrem854 remainder 10003 5 -> 3 481ddrem855 remainder 1003 5 -> 3 482ddrem856 remainder 103 5 -> 3 483ddrem857 remainder 13 5 -> 3 484ddrem858 remainder 1 5 -> 1 485 486-- Vladimir's cases 1234567890123456 487ddrem860 remainder 123.0e1 1000000000000000 -> 1230 488ddrem861 remainder 1230 1000000000000000 -> 1230 489ddrem862 remainder 12.3e2 1000000000000000 -> 1230 490ddrem863 remainder 1.23e3 1000000000000000 -> 1230 491ddrem864 remainder 123e1 1000000000000000 -> 1230 492ddrem870 remainder 123e1 1000000000000000 -> 1230 493ddrem871 remainder 123e1 100000000000000 -> 1230 494ddrem872 remainder 123e1 10000000000000 -> 1230 495ddrem873 remainder 123e1 1000000000000 -> 1230 496ddrem874 remainder 123e1 100000000000 -> 1230 497ddrem875 remainder 123e1 10000000000 -> 1230 498ddrem876 remainder 123e1 1000000000 -> 1230 499ddrem877 remainder 123e1 100000000 -> 1230 500ddrem878 remainder 1230 100000000 -> 1230 501ddrem879 remainder 123e1 10000000 -> 1230 502ddrem880 remainder 123e1 1000000 -> 1230 503ddrem881 remainder 123e1 100000 -> 1230 504ddrem882 remainder 123e1 10000 -> 1230 505ddrem883 remainder 123e1 1000 -> 230 506ddrem884 remainder 123e1 100 -> 30 507ddrem885 remainder 123e1 10 -> 0 508ddrem886 remainder 123e1 1 -> 0 509 510ddrem890 remainder 123e1 2000000000000000 -> 1230 511ddrem891 remainder 123e1 200000000000000 -> 1230 512ddrem892 remainder 123e1 20000000000000 -> 1230 513ddrem893 remainder 123e1 2000000000000 -> 1230 514ddrem894 remainder 123e1 200000000000 -> 1230 515ddrem895 remainder 123e1 20000000000 -> 1230 516ddrem896 remainder 123e1 2000000000 -> 1230 517ddrem897 remainder 123e1 200000000 -> 1230 518ddrem899 remainder 123e1 20000000 -> 1230 519ddrem900 remainder 123e1 2000000 -> 1230 520ddrem901 remainder 123e1 200000 -> 1230 521ddrem902 remainder 123e1 20000 -> 1230 522ddrem903 remainder 123e1 2000 -> 1230 523ddrem904 remainder 123e1 200 -> 30 524ddrem905 remainder 123e1 20 -> 10 525ddrem906 remainder 123e1 2 -> 0 526 527ddrem910 remainder 123e1 5000000000000000 -> 1230 528ddrem911 remainder 123e1 500000000000000 -> 1230 529ddrem912 remainder 123e1 50000000000000 -> 1230 530ddrem913 remainder 123e1 5000000000000 -> 1230 531ddrem914 remainder 123e1 500000000000 -> 1230 532ddrem915 remainder 123e1 50000000000 -> 1230 533ddrem916 remainder 123e1 5000000000 -> 1230 534ddrem917 remainder 123e1 500000000 -> 1230 535ddrem919 remainder 123e1 50000000 -> 1230 536ddrem920 remainder 123e1 5000000 -> 1230 537ddrem921 remainder 123e1 500000 -> 1230 538ddrem922 remainder 123e1 50000 -> 1230 539ddrem923 remainder 123e1 5000 -> 1230 540ddrem924 remainder 123e1 500 -> 230 541ddrem925 remainder 123e1 50 -> 30 542ddrem926 remainder 123e1 5 -> 0 543 544ddrem930 remainder 123e1 9000000000000000 -> 1230 545ddrem931 remainder 123e1 900000000000000 -> 1230 546ddrem932 remainder 123e1 90000000000000 -> 1230 547ddrem933 remainder 123e1 9000000000000 -> 1230 548ddrem934 remainder 123e1 900000000000 -> 1230 549ddrem935 remainder 123e1 90000000000 -> 1230 550ddrem936 remainder 123e1 9000000000 -> 1230 551ddrem937 remainder 123e1 900000000 -> 1230 552ddrem939 remainder 123e1 90000000 -> 1230 553ddrem940 remainder 123e1 9000000 -> 1230 554ddrem941 remainder 123e1 900000 -> 1230 555ddrem942 remainder 123e1 90000 -> 1230 556ddrem943 remainder 123e1 9000 -> 1230 557ddrem944 remainder 123e1 900 -> 330 558ddrem945 remainder 123e1 90 -> 60 559ddrem946 remainder 123e1 9 -> 6 560 561ddrem950 remainder 123e1 1000000000000000 -> 1230 562ddrem961 remainder 123e1 2999999999999999 -> 1230 563ddrem962 remainder 123e1 3999999999999999 -> 1230 564ddrem963 remainder 123e1 4999999999999999 -> 1230 565ddrem964 remainder 123e1 5999999999999999 -> 1230 566ddrem965 remainder 123e1 6999999999999999 -> 1230 567ddrem966 remainder 123e1 7999999999999999 -> 1230 568ddrem967 remainder 123e1 8999999999999999 -> 1230 569ddrem968 remainder 123e1 9999999999999999 -> 1230 570ddrem969 remainder 123e1 9876543210987654 -> 1230 571 572ddrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally 573 574-- overflow and underflow tests [from divide] 575ddrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible 576ddrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible 577ddrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible 578ddrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible 579ddrem1055 remainder 1e-277 1e+311 -> 1E-277 580ddrem1056 remainder 1e-277 -1e+311 -> 1E-277 581ddrem1057 remainder -1e-277 1e+311 -> -1E-277 582ddrem1058 remainder -1e-277 -1e+311 -> -1E-277 583 584-- destructive subtract 585ddrem1101 remainder 1234567890123456 1.000000000000001 -> 0.765432109876546 586ddrem1102 remainder 1234567890123456 1.00000000000001 -> 0.65432109876557 587ddrem1103 remainder 1234567890123456 1.0000000000001 -> 0.5432109876668 588ddrem1104 remainder 1234567890123455 4.000000000000001 -> 2.691358027469137 589ddrem1105 remainder 1234567890123456 4.000000000000001 -> 3.691358027469137 590ddrem1106 remainder 1234567890123456 4.9999999999999 -> 0.6913578024696 591ddrem1107 remainder 1234567890123456 4.99999999999999 -> 3.46913578024691 592ddrem1108 remainder 1234567890123456 4.999999999999999 -> 1.246913578024691 593ddrem1109 remainder 1234567890123456 5.000000000000001 -> 0.753086421975309 594ddrem1110 remainder 1234567890123456 5.00000000000001 -> 3.53086421975310 595ddrem1111 remainder 1234567890123456 5.0000000000001 -> 1.3086421975314 596 597-- Null tests 598ddrem1000 remainder 10 # -> NaN Invalid_operation 599ddrem1001 remainder # 10 -> NaN Invalid_operation 600 601