| ------------------------------------------------------------------------ | |
| -- ddRemainder.decTest -- decDouble remainder -- | |
| -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- | |
| ------------------------------------------------------------------------ | |
| -- Please see the document "General Decimal Arithmetic Testcases" -- | |
| -- at http://www2.hursley.ibm.com/decimal for the description of -- | |
| -- these testcases. -- | |
| -- -- | |
| -- These testcases are experimental ('beta' versions), and they -- | |
| -- may contain errors. They are offered on an as-is basis. In -- | |
| -- particular, achieving the same results as the tests here is not -- | |
| -- a guarantee that an implementation complies with any Standard -- | |
| -- or specification. The tests are not exhaustive. -- | |
| -- -- | |
| -- Please send comments, suggestions, and corrections to the author: -- | |
| -- Mike Cowlishaw, IBM Fellow -- | |
| -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- | |
| -- mfc@uk.ibm.com -- | |
| ------------------------------------------------------------------------ | |
| version: 2.59 | |
| precision: 16 | |
| maxExponent: 384 | |
| minExponent: -383 | |
| extended: 1 | |
| clamp: 1 | |
| rounding: half_even | |
| -- sanity checks (as base, above) | |
| ddrem001 remainder 1 1 -> 0 | |
| ddrem002 remainder 2 1 -> 0 | |
| ddrem003 remainder 1 2 -> 1 | |
| ddrem004 remainder 2 2 -> 0 | |
| ddrem005 remainder 0 1 -> 0 | |
| ddrem006 remainder 0 2 -> 0 | |
| ddrem007 remainder 1 3 -> 1 | |
| ddrem008 remainder 2 3 -> 2 | |
| ddrem009 remainder 3 3 -> 0 | |
| ddrem010 remainder 2.4 1 -> 0.4 | |
| ddrem011 remainder 2.4 -1 -> 0.4 | |
| ddrem012 remainder -2.4 1 -> -0.4 | |
| ddrem013 remainder -2.4 -1 -> -0.4 | |
| ddrem014 remainder 2.40 1 -> 0.40 | |
| ddrem015 remainder 2.400 1 -> 0.400 | |
| ddrem016 remainder 2.4 2 -> 0.4 | |
| ddrem017 remainder 2.400 2 -> 0.400 | |
| ddrem018 remainder 2. 2 -> 0 | |
| ddrem019 remainder 20 20 -> 0 | |
| ddrem020 remainder 187 187 -> 0 | |
| ddrem021 remainder 5 2 -> 1 | |
| ddrem022 remainder 5 2.0 -> 1.0 | |
| ddrem023 remainder 5 2.000 -> 1.000 | |
| ddrem024 remainder 5 0.200 -> 0.000 | |
| ddrem025 remainder 5 0.200 -> 0.000 | |
| ddrem030 remainder 1 2 -> 1 | |
| ddrem031 remainder 1 4 -> 1 | |
| ddrem032 remainder 1 8 -> 1 | |
| ddrem033 remainder 1 16 -> 1 | |
| ddrem034 remainder 1 32 -> 1 | |
| ddrem035 remainder 1 64 -> 1 | |
| ddrem040 remainder 1 -2 -> 1 | |
| ddrem041 remainder 1 -4 -> 1 | |
| ddrem042 remainder 1 -8 -> 1 | |
| ddrem043 remainder 1 -16 -> 1 | |
| ddrem044 remainder 1 -32 -> 1 | |
| ddrem045 remainder 1 -64 -> 1 | |
| ddrem050 remainder -1 2 -> -1 | |
| ddrem051 remainder -1 4 -> -1 | |
| ddrem052 remainder -1 8 -> -1 | |
| ddrem053 remainder -1 16 -> -1 | |
| ddrem054 remainder -1 32 -> -1 | |
| ddrem055 remainder -1 64 -> -1 | |
| ddrem060 remainder -1 -2 -> -1 | |
| ddrem061 remainder -1 -4 -> -1 | |
| ddrem062 remainder -1 -8 -> -1 | |
| ddrem063 remainder -1 -16 -> -1 | |
| ddrem064 remainder -1 -32 -> -1 | |
| ddrem065 remainder -1 -64 -> -1 | |
| ddrem066 remainder 999999999 1 -> 0 | |
| ddrem067 remainder 999999999.4 1 -> 0.4 | |
| ddrem068 remainder 999999999.5 1 -> 0.5 | |
| ddrem069 remainder 999999999.9 1 -> 0.9 | |
| ddrem070 remainder 999999999.999 1 -> 0.999 | |
| ddrem071 remainder 999999.999999 1 -> 0.999999 | |
| ddrem072 remainder 9 1 -> 0 | |
| ddrem073 remainder 9999999999999999 1 -> 0 | |
| ddrem074 remainder 9999999999999999 2 -> 1 | |
| ddrem075 remainder 9999999999999999 3 -> 0 | |
| ddrem076 remainder 9999999999999999 4 -> 3 | |
| ddrem080 remainder 0. 1 -> 0 | |
| ddrem081 remainder .0 1 -> 0.0 | |
| ddrem082 remainder 0.00 1 -> 0.00 | |
| ddrem083 remainder 0.00E+9 1 -> 0 | |
| ddrem084 remainder 0.00E+3 1 -> 0 | |
| ddrem085 remainder 0.00E+2 1 -> 0 | |
| ddrem086 remainder 0.00E+1 1 -> 0.0 | |
| ddrem087 remainder 0.00E+0 1 -> 0.00 | |
| ddrem088 remainder 0.00E-0 1 -> 0.00 | |
| ddrem089 remainder 0.00E-1 1 -> 0.000 | |
| ddrem090 remainder 0.00E-2 1 -> 0.0000 | |
| ddrem091 remainder 0.00E-3 1 -> 0.00000 | |
| ddrem092 remainder 0.00E-4 1 -> 0.000000 | |
| ddrem093 remainder 0.00E-5 1 -> 0E-7 | |
| ddrem094 remainder 0.00E-6 1 -> 0E-8 | |
| ddrem095 remainder 0.0000E-50 1 -> 0E-54 | |
| -- Various flavours of remainder by 0 | |
| ddrem101 remainder 0 0 -> NaN Division_undefined | |
| ddrem102 remainder 0 -0 -> NaN Division_undefined | |
| ddrem103 remainder -0 0 -> NaN Division_undefined | |
| ddrem104 remainder -0 -0 -> NaN Division_undefined | |
| ddrem105 remainder 0.0E5 0 -> NaN Division_undefined | |
| ddrem106 remainder 0.000 0 -> NaN Division_undefined | |
| -- [Some think this next group should be Division_by_zero exception, but | |
| -- IEEE 854 is explicit that it is Invalid operation .. for | |
| -- remainder-near, anyway] | |
| ddrem107 remainder 0.0001 0 -> NaN Invalid_operation | |
| ddrem108 remainder 0.01 0 -> NaN Invalid_operation | |
| ddrem109 remainder 0.1 0 -> NaN Invalid_operation | |
| ddrem110 remainder 1 0 -> NaN Invalid_operation | |
| ddrem111 remainder 1 0.0 -> NaN Invalid_operation | |
| ddrem112 remainder 10 0.0 -> NaN Invalid_operation | |
| ddrem113 remainder 1E+100 0.0 -> NaN Invalid_operation | |
| ddrem114 remainder 1E+380 0 -> NaN Invalid_operation | |
| ddrem115 remainder 0.0001 -0 -> NaN Invalid_operation | |
| ddrem116 remainder 0.01 -0 -> NaN Invalid_operation | |
| ddrem119 remainder 0.1 -0 -> NaN Invalid_operation | |
| ddrem120 remainder 1 -0 -> NaN Invalid_operation | |
| ddrem121 remainder 1 -0.0 -> NaN Invalid_operation | |
| ddrem122 remainder 10 -0.0 -> NaN Invalid_operation | |
| ddrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation | |
| ddrem124 remainder 1E+384 -0 -> NaN Invalid_operation | |
| -- and zeros on left | |
| ddrem130 remainder 0 1 -> 0 | |
| ddrem131 remainder 0 -1 -> 0 | |
| ddrem132 remainder 0.0 1 -> 0.0 | |
| ddrem133 remainder 0.0 -1 -> 0.0 | |
| ddrem134 remainder -0 1 -> -0 | |
| ddrem135 remainder -0 -1 -> -0 | |
| ddrem136 remainder -0.0 1 -> -0.0 | |
| ddrem137 remainder -0.0 -1 -> -0.0 | |
| -- 0.5ers | |
| ddrem143 remainder 0.5 2 -> 0.5 | |
| ddrem144 remainder 0.5 2.1 -> 0.5 | |
| ddrem145 remainder 0.5 2.01 -> 0.50 | |
| ddrem146 remainder 0.5 2.001 -> 0.500 | |
| ddrem147 remainder 0.50 2 -> 0.50 | |
| ddrem148 remainder 0.50 2.01 -> 0.50 | |
| ddrem149 remainder 0.50 2.001 -> 0.500 | |
| -- steadies | |
| ddrem150 remainder 1 1 -> 0 | |
| ddrem151 remainder 1 2 -> 1 | |
| ddrem152 remainder 1 3 -> 1 | |
| ddrem153 remainder 1 4 -> 1 | |
| ddrem154 remainder 1 5 -> 1 | |
| ddrem155 remainder 1 6 -> 1 | |
| ddrem156 remainder 1 7 -> 1 | |
| ddrem157 remainder 1 8 -> 1 | |
| ddrem158 remainder 1 9 -> 1 | |
| ddrem159 remainder 1 10 -> 1 | |
| ddrem160 remainder 1 1 -> 0 | |
| ddrem161 remainder 2 1 -> 0 | |
| ddrem162 remainder 3 1 -> 0 | |
| ddrem163 remainder 4 1 -> 0 | |
| ddrem164 remainder 5 1 -> 0 | |
| ddrem165 remainder 6 1 -> 0 | |
| ddrem166 remainder 7 1 -> 0 | |
| ddrem167 remainder 8 1 -> 0 | |
| ddrem168 remainder 9 1 -> 0 | |
| ddrem169 remainder 10 1 -> 0 | |
| -- some differences from remainderNear | |
| ddrem171 remainder 0.4 1.020 -> 0.400 | |
| ddrem172 remainder 0.50 1.020 -> 0.500 | |
| ddrem173 remainder 0.51 1.020 -> 0.510 | |
| ddrem174 remainder 0.52 1.020 -> 0.520 | |
| ddrem175 remainder 0.6 1.020 -> 0.600 | |
| -- More flavours of remainder by 0 | |
| ddrem201 remainder 0 0 -> NaN Division_undefined | |
| ddrem202 remainder 0.0E5 0 -> NaN Division_undefined | |
| ddrem203 remainder 0.000 0 -> NaN Division_undefined | |
| ddrem204 remainder 0.0001 0 -> NaN Invalid_operation | |
| ddrem205 remainder 0.01 0 -> NaN Invalid_operation | |
| ddrem206 remainder 0.1 0 -> NaN Invalid_operation | |
| ddrem207 remainder 1 0 -> NaN Invalid_operation | |
| ddrem208 remainder 1 0.0 -> NaN Invalid_operation | |
| ddrem209 remainder 10 0.0 -> NaN Invalid_operation | |
| ddrem210 remainder 1E+100 0.0 -> NaN Invalid_operation | |
| ddrem211 remainder 1E+380 0 -> NaN Invalid_operation | |
| -- some differences from remainderNear | |
| ddrem231 remainder -0.4 1.020 -> -0.400 | |
| ddrem232 remainder -0.50 1.020 -> -0.500 | |
| ddrem233 remainder -0.51 1.020 -> -0.510 | |
| ddrem234 remainder -0.52 1.020 -> -0.520 | |
| ddrem235 remainder -0.6 1.020 -> -0.600 | |
| -- high Xs | |
| ddrem240 remainder 1E+2 1.00 -> 0.00 | |
| -- ddrem3xx are from DiagBigDecimal | |
| ddrem301 remainder 1 3 -> 1 | |
| ddrem302 remainder 5 5 -> 0 | |
| ddrem303 remainder 13 10 -> 3 | |
| ddrem304 remainder 13 50 -> 13 | |
| ddrem305 remainder 13 100 -> 13 | |
| ddrem306 remainder 13 1000 -> 13 | |
| ddrem307 remainder .13 1 -> 0.13 | |
| ddrem308 remainder 0.133 1 -> 0.133 | |
| ddrem309 remainder 0.1033 1 -> 0.1033 | |
| ddrem310 remainder 1.033 1 -> 0.033 | |
| ddrem311 remainder 10.33 1 -> 0.33 | |
| ddrem312 remainder 10.33 10 -> 0.33 | |
| ddrem313 remainder 103.3 1 -> 0.3 | |
| ddrem314 remainder 133 10 -> 3 | |
| ddrem315 remainder 1033 10 -> 3 | |
| ddrem316 remainder 1033 50 -> 33 | |
| ddrem317 remainder 101.0 3 -> 2.0 | |
| ddrem318 remainder 102.0 3 -> 0.0 | |
| ddrem319 remainder 103.0 3 -> 1.0 | |
| ddrem320 remainder 2.40 1 -> 0.40 | |
| ddrem321 remainder 2.400 1 -> 0.400 | |
| ddrem322 remainder 2.4 1 -> 0.4 | |
| ddrem323 remainder 2.4 2 -> 0.4 | |
| ddrem324 remainder 2.400 2 -> 0.400 | |
| ddrem325 remainder 1 0.3 -> 0.1 | |
| ddrem326 remainder 1 0.30 -> 0.10 | |
| ddrem327 remainder 1 0.300 -> 0.100 | |
| ddrem328 remainder 1 0.3000 -> 0.1000 | |
| ddrem329 remainder 1.0 0.3 -> 0.1 | |
| ddrem330 remainder 1.00 0.3 -> 0.10 | |
| ddrem331 remainder 1.000 0.3 -> 0.100 | |
| ddrem332 remainder 1.0000 0.3 -> 0.1000 | |
| ddrem333 remainder 0.5 2 -> 0.5 | |
| ddrem334 remainder 0.5 2.1 -> 0.5 | |
| ddrem335 remainder 0.5 2.01 -> 0.50 | |
| ddrem336 remainder 0.5 2.001 -> 0.500 | |
| ddrem337 remainder 0.50 2 -> 0.50 | |
| ddrem338 remainder 0.50 2.01 -> 0.50 | |
| ddrem339 remainder 0.50 2.001 -> 0.500 | |
| ddrem340 remainder 0.5 0.5000001 -> 0.5000000 | |
| ddrem341 remainder 0.5 0.50000001 -> 0.50000000 | |
| ddrem342 remainder 0.5 0.500000001 -> 0.500000000 | |
| ddrem343 remainder 0.5 0.5000000001 -> 0.5000000000 | |
| ddrem344 remainder 0.5 0.50000000001 -> 0.50000000000 | |
| ddrem345 remainder 0.5 0.4999999 -> 1E-7 | |
| ddrem346 remainder 0.5 0.49999999 -> 1E-8 | |
| ddrem347 remainder 0.5 0.499999999 -> 1E-9 | |
| ddrem348 remainder 0.5 0.4999999999 -> 1E-10 | |
| ddrem349 remainder 0.5 0.49999999999 -> 1E-11 | |
| ddrem350 remainder 0.5 0.499999999999 -> 1E-12 | |
| ddrem351 remainder 0.03 7 -> 0.03 | |
| ddrem352 remainder 5 2 -> 1 | |
| ddrem353 remainder 4.1 2 -> 0.1 | |
| ddrem354 remainder 4.01 2 -> 0.01 | |
| ddrem355 remainder 4.001 2 -> 0.001 | |
| ddrem356 remainder 4.0001 2 -> 0.0001 | |
| ddrem357 remainder 4.00001 2 -> 0.00001 | |
| ddrem358 remainder 4.000001 2 -> 0.000001 | |
| ddrem359 remainder 4.0000001 2 -> 1E-7 | |
| ddrem360 remainder 1.2 0.7345 -> 0.4655 | |
| ddrem361 remainder 0.8 12 -> 0.8 | |
| ddrem362 remainder 0.8 0.2 -> 0.0 | |
| ddrem363 remainder 0.8 0.3 -> 0.2 | |
| ddrem364 remainder 0.800 12 -> 0.800 | |
| ddrem365 remainder 0.800 1.7 -> 0.800 | |
| ddrem366 remainder 2.400 2 -> 0.400 | |
| ddrem371 remainder 2.400 2 -> 0.400 | |
| ddrem381 remainder 12345 1 -> 0 | |
| ddrem382 remainder 12345 1.0001 -> 0.7657 | |
| ddrem383 remainder 12345 1.001 -> 0.668 | |
| ddrem384 remainder 12345 1.01 -> 0.78 | |
| ddrem385 remainder 12345 1.1 -> 0.8 | |
| ddrem386 remainder 12355 4 -> 3 | |
| ddrem387 remainder 12345 4 -> 1 | |
| ddrem388 remainder 12355 4.0001 -> 2.6912 | |
| ddrem389 remainder 12345 4.0001 -> 0.6914 | |
| ddrem390 remainder 12345 4.9 -> 1.9 | |
| ddrem391 remainder 12345 4.99 -> 4.73 | |
| ddrem392 remainder 12345 4.999 -> 2.469 | |
| ddrem393 remainder 12345 4.9999 -> 0.2469 | |
| ddrem394 remainder 12345 5 -> 0 | |
| ddrem395 remainder 12345 5.0001 -> 4.7532 | |
| ddrem396 remainder 12345 5.001 -> 2.532 | |
| ddrem397 remainder 12345 5.01 -> 0.36 | |
| ddrem398 remainder 12345 5.1 -> 3.0 | |
| -- the nasty division-by-1 cases | |
| ddrem401 remainder 0.5 1 -> 0.5 | |
| ddrem402 remainder 0.55 1 -> 0.55 | |
| ddrem403 remainder 0.555 1 -> 0.555 | |
| ddrem404 remainder 0.5555 1 -> 0.5555 | |
| ddrem405 remainder 0.55555 1 -> 0.55555 | |
| ddrem406 remainder 0.555555 1 -> 0.555555 | |
| ddrem407 remainder 0.5555555 1 -> 0.5555555 | |
| ddrem408 remainder 0.55555555 1 -> 0.55555555 | |
| ddrem409 remainder 0.555555555 1 -> 0.555555555 | |
| -- folddowns | |
| ddrem421 remainder 1E+384 1 -> NaN Division_impossible | |
| ddrem422 remainder 1E+384 1E+383 -> 0E+369 Clamped | |
| ddrem423 remainder 1E+384 2E+383 -> 0E+369 Clamped | |
| ddrem424 remainder 1E+384 3E+383 -> 1.00000000000000E+383 Clamped | |
| ddrem425 remainder 1E+384 4E+383 -> 2.00000000000000E+383 Clamped | |
| ddrem426 remainder 1E+384 5E+383 -> 0E+369 Clamped | |
| ddrem427 remainder 1E+384 6E+383 -> 4.00000000000000E+383 Clamped | |
| ddrem428 remainder 1E+384 7E+383 -> 3.00000000000000E+383 Clamped | |
| ddrem429 remainder 1E+384 8E+383 -> 2.00000000000000E+383 Clamped | |
| ddrem430 remainder 1E+384 9E+383 -> 1.00000000000000E+383 Clamped | |
| -- tinies | |
| ddrem431 remainder 1E-397 1E-398 -> 0E-398 | |
| ddrem432 remainder 1E-397 2E-398 -> 0E-398 | |
| ddrem433 remainder 1E-397 3E-398 -> 1E-398 Subnormal | |
| ddrem434 remainder 1E-397 4E-398 -> 2E-398 Subnormal | |
| ddrem435 remainder 1E-397 5E-398 -> 0E-398 | |
| ddrem436 remainder 1E-397 6E-398 -> 4E-398 Subnormal | |
| ddrem437 remainder 1E-397 7E-398 -> 3E-398 Subnormal | |
| ddrem438 remainder 1E-397 8E-398 -> 2E-398 Subnormal | |
| ddrem439 remainder 1E-397 9E-398 -> 1E-398 Subnormal | |
| ddrem440 remainder 1E-397 10E-398 -> 0E-398 | |
| ddrem441 remainder 1E-397 11E-398 -> 1.0E-397 Subnormal | |
| ddrem442 remainder 100E-397 11E-398 -> 1.0E-397 Subnormal | |
| ddrem443 remainder 100E-397 20E-398 -> 0E-398 | |
| ddrem444 remainder 100E-397 21E-398 -> 1.3E-397 Subnormal | |
| ddrem445 remainder 100E-397 30E-398 -> 1.0E-397 Subnormal | |
| -- zero signs | |
| ddrem650 remainder 1 1 -> 0 | |
| ddrem651 remainder -1 1 -> -0 | |
| ddrem652 remainder 1 -1 -> 0 | |
| ddrem653 remainder -1 -1 -> -0 | |
| ddrem654 remainder 0 1 -> 0 | |
| ddrem655 remainder -0 1 -> -0 | |
| ddrem656 remainder 0 -1 -> 0 | |
| ddrem657 remainder -0 -1 -> -0 | |
| ddrem658 remainder 0.00 1 -> 0.00 | |
| ddrem659 remainder -0.00 1 -> -0.00 | |
| -- Specials | |
| ddrem680 remainder Inf -Inf -> NaN Invalid_operation | |
| ddrem681 remainder Inf -1000 -> NaN Invalid_operation | |
| ddrem682 remainder Inf -1 -> NaN Invalid_operation | |
| ddrem683 remainder Inf 0 -> NaN Invalid_operation | |
| ddrem684 remainder Inf -0 -> NaN Invalid_operation | |
| ddrem685 remainder Inf 1 -> NaN Invalid_operation | |
| ddrem686 remainder Inf 1000 -> NaN Invalid_operation | |
| ddrem687 remainder Inf Inf -> NaN Invalid_operation | |
| ddrem688 remainder -1000 Inf -> -1000 | |
| ddrem689 remainder -Inf Inf -> NaN Invalid_operation | |
| ddrem691 remainder -1 Inf -> -1 | |
| ddrem692 remainder 0 Inf -> 0 | |
| ddrem693 remainder -0 Inf -> -0 | |
| ddrem694 remainder 1 Inf -> 1 | |
| ddrem695 remainder 1000 Inf -> 1000 | |
| ddrem696 remainder Inf Inf -> NaN Invalid_operation | |
| ddrem700 remainder -Inf -Inf -> NaN Invalid_operation | |
| ddrem701 remainder -Inf -1000 -> NaN Invalid_operation | |
| ddrem702 remainder -Inf -1 -> NaN Invalid_operation | |
| ddrem703 remainder -Inf -0 -> NaN Invalid_operation | |
| ddrem704 remainder -Inf 0 -> NaN Invalid_operation | |
| ddrem705 remainder -Inf 1 -> NaN Invalid_operation | |
| ddrem706 remainder -Inf 1000 -> NaN Invalid_operation | |
| ddrem707 remainder -Inf Inf -> NaN Invalid_operation | |
| ddrem708 remainder -Inf -Inf -> NaN Invalid_operation | |
| ddrem709 remainder -1000 Inf -> -1000 | |
| ddrem710 remainder -1 -Inf -> -1 | |
| ddrem711 remainder -0 -Inf -> -0 | |
| ddrem712 remainder 0 -Inf -> 0 | |
| ddrem713 remainder 1 -Inf -> 1 | |
| ddrem714 remainder 1000 -Inf -> 1000 | |
| ddrem715 remainder Inf -Inf -> NaN Invalid_operation | |
| ddrem721 remainder NaN -Inf -> NaN | |
| ddrem722 remainder NaN -1000 -> NaN | |
| ddrem723 remainder NaN -1 -> NaN | |
| ddrem724 remainder NaN -0 -> NaN | |
| ddrem725 remainder -NaN 0 -> -NaN | |
| ddrem726 remainder NaN 1 -> NaN | |
| ddrem727 remainder NaN 1000 -> NaN | |
| ddrem728 remainder NaN Inf -> NaN | |
| ddrem729 remainder NaN -NaN -> NaN | |
| ddrem730 remainder -Inf NaN -> NaN | |
| ddrem731 remainder -1000 NaN -> NaN | |
| ddrem732 remainder -1 NaN -> NaN | |
| ddrem733 remainder -0 -NaN -> -NaN | |
| ddrem734 remainder 0 NaN -> NaN | |
| ddrem735 remainder 1 -NaN -> -NaN | |
| ddrem736 remainder 1000 NaN -> NaN | |
| ddrem737 remainder Inf NaN -> NaN | |
| ddrem741 remainder sNaN -Inf -> NaN Invalid_operation | |
| ddrem742 remainder sNaN -1000 -> NaN Invalid_operation | |
| ddrem743 remainder -sNaN -1 -> -NaN Invalid_operation | |
| ddrem744 remainder sNaN -0 -> NaN Invalid_operation | |
| ddrem745 remainder sNaN 0 -> NaN Invalid_operation | |
| ddrem746 remainder sNaN 1 -> NaN Invalid_operation | |
| ddrem747 remainder sNaN 1000 -> NaN Invalid_operation | |
| ddrem749 remainder sNaN NaN -> NaN Invalid_operation | |
| ddrem750 remainder sNaN sNaN -> NaN Invalid_operation | |
| ddrem751 remainder NaN sNaN -> NaN Invalid_operation | |
| ddrem752 remainder -Inf sNaN -> NaN Invalid_operation | |
| ddrem753 remainder -1000 sNaN -> NaN Invalid_operation | |
| ddrem754 remainder -1 sNaN -> NaN Invalid_operation | |
| ddrem755 remainder -0 sNaN -> NaN Invalid_operation | |
| ddrem756 remainder 0 sNaN -> NaN Invalid_operation | |
| ddrem757 remainder 1 sNaN -> NaN Invalid_operation | |
| ddrem758 remainder 1000 sNaN -> NaN Invalid_operation | |
| ddrem759 remainder Inf -sNaN -> -NaN Invalid_operation | |
| -- propaging NaNs | |
| ddrem760 remainder NaN1 NaN7 -> NaN1 | |
| ddrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation | |
| ddrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation | |
| ddrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation | |
| ddrem764 remainder 15 NaN11 -> NaN11 | |
| ddrem765 remainder NaN6 NaN12 -> NaN6 | |
| ddrem766 remainder Inf NaN13 -> NaN13 | |
| ddrem767 remainder NaN14 -Inf -> NaN14 | |
| ddrem768 remainder 0 NaN15 -> NaN15 | |
| ddrem769 remainder NaN16 -0 -> NaN16 | |
| -- edge cases of impossible | |
| ddrem770 remainder 1234567890123456 10 -> 6 | |
| ddrem771 remainder 1234567890123456 1 -> 0 | |
| ddrem772 remainder 1234567890123456 0.1 -> NaN Division_impossible | |
| ddrem773 remainder 1234567890123456 0.01 -> NaN Division_impossible | |
| -- long operand checks | |
| ddrem801 remainder 12345678000 100 -> 0 | |
| ddrem802 remainder 1 12345678000 -> 1 | |
| ddrem803 remainder 1234567800 10 -> 0 | |
| ddrem804 remainder 1 1234567800 -> 1 | |
| ddrem805 remainder 1234567890 10 -> 0 | |
| ddrem806 remainder 1 1234567890 -> 1 | |
| ddrem807 remainder 1234567891 10 -> 1 | |
| ddrem808 remainder 1 1234567891 -> 1 | |
| ddrem809 remainder 12345678901 100 -> 1 | |
| ddrem810 remainder 1 12345678901 -> 1 | |
| ddrem811 remainder 1234567896 10 -> 6 | |
| ddrem812 remainder 1 1234567896 -> 1 | |
| ddrem821 remainder 12345678000 100 -> 0 | |
| ddrem822 remainder 1 12345678000 -> 1 | |
| ddrem823 remainder 1234567800 10 -> 0 | |
| ddrem824 remainder 1 1234567800 -> 1 | |
| ddrem825 remainder 1234567890 10 -> 0 | |
| ddrem826 remainder 1 1234567890 -> 1 | |
| ddrem827 remainder 1234567891 10 -> 1 | |
| ddrem828 remainder 1 1234567891 -> 1 | |
| ddrem829 remainder 12345678901 100 -> 1 | |
| ddrem830 remainder 1 12345678901 -> 1 | |
| ddrem831 remainder 1234567896 10 -> 6 | |
| ddrem832 remainder 1 1234567896 -> 1 | |
| -- from divideint | |
| ddrem840 remainder 100000000.0 1 -> 0.0 | |
| ddrem841 remainder 100000000.4 1 -> 0.4 | |
| ddrem842 remainder 100000000.5 1 -> 0.5 | |
| ddrem843 remainder 100000000.9 1 -> 0.9 | |
| ddrem844 remainder 100000000.999 1 -> 0.999 | |
| ddrem850 remainder 100000003 5 -> 3 | |
| ddrem851 remainder 10000003 5 -> 3 | |
| ddrem852 remainder 1000003 5 -> 3 | |
| ddrem853 remainder 100003 5 -> 3 | |
| ddrem854 remainder 10003 5 -> 3 | |
| ddrem855 remainder 1003 5 -> 3 | |
| ddrem856 remainder 103 5 -> 3 | |
| ddrem857 remainder 13 5 -> 3 | |
| ddrem858 remainder 1 5 -> 1 | |
| -- Vladimir's cases 1234567890123456 | |
| ddrem860 remainder 123.0e1 1000000000000000 -> 1230 | |
| ddrem861 remainder 1230 1000000000000000 -> 1230 | |
| ddrem862 remainder 12.3e2 1000000000000000 -> 1230 | |
| ddrem863 remainder 1.23e3 1000000000000000 -> 1230 | |
| ddrem864 remainder 123e1 1000000000000000 -> 1230 | |
| ddrem870 remainder 123e1 1000000000000000 -> 1230 | |
| ddrem871 remainder 123e1 100000000000000 -> 1230 | |
| ddrem872 remainder 123e1 10000000000000 -> 1230 | |
| ddrem873 remainder 123e1 1000000000000 -> 1230 | |
| ddrem874 remainder 123e1 100000000000 -> 1230 | |
| ddrem875 remainder 123e1 10000000000 -> 1230 | |
| ddrem876 remainder 123e1 1000000000 -> 1230 | |
| ddrem877 remainder 123e1 100000000 -> 1230 | |
| ddrem878 remainder 1230 100000000 -> 1230 | |
| ddrem879 remainder 123e1 10000000 -> 1230 | |
| ddrem880 remainder 123e1 1000000 -> 1230 | |
| ddrem881 remainder 123e1 100000 -> 1230 | |
| ddrem882 remainder 123e1 10000 -> 1230 | |
| ddrem883 remainder 123e1 1000 -> 230 | |
| ddrem884 remainder 123e1 100 -> 30 | |
| ddrem885 remainder 123e1 10 -> 0 | |
| ddrem886 remainder 123e1 1 -> 0 | |
| ddrem890 remainder 123e1 2000000000000000 -> 1230 | |
| ddrem891 remainder 123e1 200000000000000 -> 1230 | |
| ddrem892 remainder 123e1 20000000000000 -> 1230 | |
| ddrem893 remainder 123e1 2000000000000 -> 1230 | |
| ddrem894 remainder 123e1 200000000000 -> 1230 | |
| ddrem895 remainder 123e1 20000000000 -> 1230 | |
| ddrem896 remainder 123e1 2000000000 -> 1230 | |
| ddrem897 remainder 123e1 200000000 -> 1230 | |
| ddrem899 remainder 123e1 20000000 -> 1230 | |
| ddrem900 remainder 123e1 2000000 -> 1230 | |
| ddrem901 remainder 123e1 200000 -> 1230 | |
| ddrem902 remainder 123e1 20000 -> 1230 | |
| ddrem903 remainder 123e1 2000 -> 1230 | |
| ddrem904 remainder 123e1 200 -> 30 | |
| ddrem905 remainder 123e1 20 -> 10 | |
| ddrem906 remainder 123e1 2 -> 0 | |
| ddrem910 remainder 123e1 5000000000000000 -> 1230 | |
| ddrem911 remainder 123e1 500000000000000 -> 1230 | |
| ddrem912 remainder 123e1 50000000000000 -> 1230 | |
| ddrem913 remainder 123e1 5000000000000 -> 1230 | |
| ddrem914 remainder 123e1 500000000000 -> 1230 | |
| ddrem915 remainder 123e1 50000000000 -> 1230 | |
| ddrem916 remainder 123e1 5000000000 -> 1230 | |
| ddrem917 remainder 123e1 500000000 -> 1230 | |
| ddrem919 remainder 123e1 50000000 -> 1230 | |
| ddrem920 remainder 123e1 5000000 -> 1230 | |
| ddrem921 remainder 123e1 500000 -> 1230 | |
| ddrem922 remainder 123e1 50000 -> 1230 | |
| ddrem923 remainder 123e1 5000 -> 1230 | |
| ddrem924 remainder 123e1 500 -> 230 | |
| ddrem925 remainder 123e1 50 -> 30 | |
| ddrem926 remainder 123e1 5 -> 0 | |
| ddrem930 remainder 123e1 9000000000000000 -> 1230 | |
| ddrem931 remainder 123e1 900000000000000 -> 1230 | |
| ddrem932 remainder 123e1 90000000000000 -> 1230 | |
| ddrem933 remainder 123e1 9000000000000 -> 1230 | |
| ddrem934 remainder 123e1 900000000000 -> 1230 | |
| ddrem935 remainder 123e1 90000000000 -> 1230 | |
| ddrem936 remainder 123e1 9000000000 -> 1230 | |
| ddrem937 remainder 123e1 900000000 -> 1230 | |
| ddrem939 remainder 123e1 90000000 -> 1230 | |
| ddrem940 remainder 123e1 9000000 -> 1230 | |
| ddrem941 remainder 123e1 900000 -> 1230 | |
| ddrem942 remainder 123e1 90000 -> 1230 | |
| ddrem943 remainder 123e1 9000 -> 1230 | |
| ddrem944 remainder 123e1 900 -> 330 | |
| ddrem945 remainder 123e1 90 -> 60 | |
| ddrem946 remainder 123e1 9 -> 6 | |
| ddrem950 remainder 123e1 1000000000000000 -> 1230 | |
| ddrem961 remainder 123e1 2999999999999999 -> 1230 | |
| ddrem962 remainder 123e1 3999999999999999 -> 1230 | |
| ddrem963 remainder 123e1 4999999999999999 -> 1230 | |
| ddrem964 remainder 123e1 5999999999999999 -> 1230 | |
| ddrem965 remainder 123e1 6999999999999999 -> 1230 | |
| ddrem966 remainder 123e1 7999999999999999 -> 1230 | |
| ddrem967 remainder 123e1 8999999999999999 -> 1230 | |
| ddrem968 remainder 123e1 9999999999999999 -> 1230 | |
| ddrem969 remainder 123e1 9876543210987654 -> 1230 | |
| ddrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally | |
| -- overflow and underflow tests [from divide] | |
| ddrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible | |
| ddrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible | |
| ddrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible | |
| ddrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible | |
| ddrem1055 remainder 1e-277 1e+311 -> 1E-277 | |
| ddrem1056 remainder 1e-277 -1e+311 -> 1E-277 | |
| ddrem1057 remainder -1e-277 1e+311 -> -1E-277 | |
| ddrem1058 remainder -1e-277 -1e+311 -> -1E-277 | |
| -- destructive subtract | |
| ddrem1101 remainder 1234567890123456 1.000000000000001 -> 0.765432109876546 | |
| ddrem1102 remainder 1234567890123456 1.00000000000001 -> 0.65432109876557 | |
| ddrem1103 remainder 1234567890123456 1.0000000000001 -> 0.5432109876668 | |
| ddrem1104 remainder 1234567890123455 4.000000000000001 -> 2.691358027469137 | |
| ddrem1105 remainder 1234567890123456 4.000000000000001 -> 3.691358027469137 | |
| ddrem1106 remainder 1234567890123456 4.9999999999999 -> 0.6913578024696 | |
| ddrem1107 remainder 1234567890123456 4.99999999999999 -> 3.46913578024691 | |
| ddrem1108 remainder 1234567890123456 4.999999999999999 -> 1.246913578024691 | |
| ddrem1109 remainder 1234567890123456 5.000000000000001 -> 0.753086421975309 | |
| ddrem1110 remainder 1234567890123456 5.00000000000001 -> 3.53086421975310 | |
| ddrem1111 remainder 1234567890123456 5.0000000000001 -> 1.3086421975314 | |
| -- Null tests | |
| ddrem1000 remainder 10 # -> NaN Invalid_operation | |
| ddrem1001 remainder # 10 -> NaN Invalid_operation | |