| ------------------------------------------------------------------------ | |
| -- dqRemainder.decTest -- decQuad 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 | |
| extended: 1 | |
| clamp: 1 | |
| precision: 34 | |
| maxExponent: 6144 | |
| minExponent: -6143 | |
| rounding: half_even | |
| -- sanity checks (as base, above) | |
| dqrem001 remainder 1 1 -> 0 | |
| dqrem002 remainder 2 1 -> 0 | |
| dqrem003 remainder 1 2 -> 1 | |
| dqrem004 remainder 2 2 -> 0 | |
| dqrem005 remainder 0 1 -> 0 | |
| dqrem006 remainder 0 2 -> 0 | |
| dqrem007 remainder 1 3 -> 1 | |
| dqrem008 remainder 2 3 -> 2 | |
| dqrem009 remainder 3 3 -> 0 | |
| dqrem010 remainder 2.4 1 -> 0.4 | |
| dqrem011 remainder 2.4 -1 -> 0.4 | |
| dqrem012 remainder -2.4 1 -> -0.4 | |
| dqrem013 remainder -2.4 -1 -> -0.4 | |
| dqrem014 remainder 2.40 1 -> 0.40 | |
| dqrem015 remainder 2.400 1 -> 0.400 | |
| dqrem016 remainder 2.4 2 -> 0.4 | |
| dqrem017 remainder 2.400 2 -> 0.400 | |
| dqrem018 remainder 2. 2 -> 0 | |
| dqrem019 remainder 20 20 -> 0 | |
| dqrem020 remainder 187 187 -> 0 | |
| dqrem021 remainder 5 2 -> 1 | |
| dqrem022 remainder 5 2.0 -> 1.0 | |
| dqrem023 remainder 5 2.000 -> 1.000 | |
| dqrem024 remainder 5 0.200 -> 0.000 | |
| dqrem025 remainder 5 0.200 -> 0.000 | |
| dqrem030 remainder 1 2 -> 1 | |
| dqrem031 remainder 1 4 -> 1 | |
| dqrem032 remainder 1 8 -> 1 | |
| dqrem033 remainder 1 16 -> 1 | |
| dqrem034 remainder 1 32 -> 1 | |
| dqrem035 remainder 1 64 -> 1 | |
| dqrem040 remainder 1 -2 -> 1 | |
| dqrem041 remainder 1 -4 -> 1 | |
| dqrem042 remainder 1 -8 -> 1 | |
| dqrem043 remainder 1 -16 -> 1 | |
| dqrem044 remainder 1 -32 -> 1 | |
| dqrem045 remainder 1 -64 -> 1 | |
| dqrem050 remainder -1 2 -> -1 | |
| dqrem051 remainder -1 4 -> -1 | |
| dqrem052 remainder -1 8 -> -1 | |
| dqrem053 remainder -1 16 -> -1 | |
| dqrem054 remainder -1 32 -> -1 | |
| dqrem055 remainder -1 64 -> -1 | |
| dqrem060 remainder -1 -2 -> -1 | |
| dqrem061 remainder -1 -4 -> -1 | |
| dqrem062 remainder -1 -8 -> -1 | |
| dqrem063 remainder -1 -16 -> -1 | |
| dqrem064 remainder -1 -32 -> -1 | |
| dqrem065 remainder -1 -64 -> -1 | |
| dqrem066 remainder 999999999 1 -> 0 | |
| dqrem067 remainder 999999999.4 1 -> 0.4 | |
| dqrem068 remainder 999999999.5 1 -> 0.5 | |
| dqrem069 remainder 999999999.9 1 -> 0.9 | |
| dqrem070 remainder 999999999.999 1 -> 0.999 | |
| dqrem071 remainder 999999.999999 1 -> 0.999999 | |
| dqrem072 remainder 9 1 -> 0 | |
| dqrem080 remainder 0. 1 -> 0 | |
| dqrem081 remainder .0 1 -> 0.0 | |
| dqrem082 remainder 0.00 1 -> 0.00 | |
| dqrem083 remainder 0.00E+9 1 -> 0 | |
| dqrem084 remainder 0.00E+3 1 -> 0 | |
| dqrem085 remainder 0.00E+2 1 -> 0 | |
| dqrem086 remainder 0.00E+1 1 -> 0.0 | |
| dqrem087 remainder 0.00E+0 1 -> 0.00 | |
| dqrem088 remainder 0.00E-0 1 -> 0.00 | |
| dqrem089 remainder 0.00E-1 1 -> 0.000 | |
| dqrem090 remainder 0.00E-2 1 -> 0.0000 | |
| dqrem091 remainder 0.00E-3 1 -> 0.00000 | |
| dqrem092 remainder 0.00E-4 1 -> 0.000000 | |
| dqrem093 remainder 0.00E-5 1 -> 0E-7 | |
| dqrem094 remainder 0.00E-6 1 -> 0E-8 | |
| dqrem095 remainder 0.0000E-50 1 -> 0E-54 | |
| -- Various flavours of remainder by 0 | |
| dqrem101 remainder 0 0 -> NaN Division_undefined | |
| dqrem102 remainder 0 -0 -> NaN Division_undefined | |
| dqrem103 remainder -0 0 -> NaN Division_undefined | |
| dqrem104 remainder -0 -0 -> NaN Division_undefined | |
| dqrem105 remainder 0.0E5 0 -> NaN Division_undefined | |
| dqrem106 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] | |
| dqrem107 remainder 0.0001 0 -> NaN Invalid_operation | |
| dqrem108 remainder 0.01 0 -> NaN Invalid_operation | |
| dqrem109 remainder 0.1 0 -> NaN Invalid_operation | |
| dqrem110 remainder 1 0 -> NaN Invalid_operation | |
| dqrem111 remainder 1 0.0 -> NaN Invalid_operation | |
| dqrem112 remainder 10 0.0 -> NaN Invalid_operation | |
| dqrem113 remainder 1E+100 0.0 -> NaN Invalid_operation | |
| dqrem114 remainder 1E+380 0 -> NaN Invalid_operation | |
| dqrem115 remainder 0.0001 -0 -> NaN Invalid_operation | |
| dqrem116 remainder 0.01 -0 -> NaN Invalid_operation | |
| dqrem119 remainder 0.1 -0 -> NaN Invalid_operation | |
| dqrem120 remainder 1 -0 -> NaN Invalid_operation | |
| dqrem121 remainder 1 -0.0 -> NaN Invalid_operation | |
| dqrem122 remainder 10 -0.0 -> NaN Invalid_operation | |
| dqrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation | |
| dqrem124 remainder 1E+384 -0 -> NaN Invalid_operation | |
| -- and zeros on left | |
| dqrem130 remainder 0 1 -> 0 | |
| dqrem131 remainder 0 -1 -> 0 | |
| dqrem132 remainder 0.0 1 -> 0.0 | |
| dqrem133 remainder 0.0 -1 -> 0.0 | |
| dqrem134 remainder -0 1 -> -0 | |
| dqrem135 remainder -0 -1 -> -0 | |
| dqrem136 remainder -0.0 1 -> -0.0 | |
| dqrem137 remainder -0.0 -1 -> -0.0 | |
| -- 0.5ers | |
| dqrem143 remainder 0.5 2 -> 0.5 | |
| dqrem144 remainder 0.5 2.1 -> 0.5 | |
| dqrem145 remainder 0.5 2.01 -> 0.50 | |
| dqrem146 remainder 0.5 2.001 -> 0.500 | |
| dqrem147 remainder 0.50 2 -> 0.50 | |
| dqrem148 remainder 0.50 2.01 -> 0.50 | |
| dqrem149 remainder 0.50 2.001 -> 0.500 | |
| -- steadies | |
| dqrem150 remainder 1 1 -> 0 | |
| dqrem151 remainder 1 2 -> 1 | |
| dqrem152 remainder 1 3 -> 1 | |
| dqrem153 remainder 1 4 -> 1 | |
| dqrem154 remainder 1 5 -> 1 | |
| dqrem155 remainder 1 6 -> 1 | |
| dqrem156 remainder 1 7 -> 1 | |
| dqrem157 remainder 1 8 -> 1 | |
| dqrem158 remainder 1 9 -> 1 | |
| dqrem159 remainder 1 10 -> 1 | |
| dqrem160 remainder 1 1 -> 0 | |
| dqrem161 remainder 2 1 -> 0 | |
| dqrem162 remainder 3 1 -> 0 | |
| dqrem163 remainder 4 1 -> 0 | |
| dqrem164 remainder 5 1 -> 0 | |
| dqrem165 remainder 6 1 -> 0 | |
| dqrem166 remainder 7 1 -> 0 | |
| dqrem167 remainder 8 1 -> 0 | |
| dqrem168 remainder 9 1 -> 0 | |
| dqrem169 remainder 10 1 -> 0 | |
| -- some differences from remainderNear | |
| dqrem171 remainder 0.4 1.020 -> 0.400 | |
| dqrem172 remainder 0.50 1.020 -> 0.500 | |
| dqrem173 remainder 0.51 1.020 -> 0.510 | |
| dqrem174 remainder 0.52 1.020 -> 0.520 | |
| dqrem175 remainder 0.6 1.020 -> 0.600 | |
| -- More flavours of remainder by 0 | |
| dqrem201 remainder 0 0 -> NaN Division_undefined | |
| dqrem202 remainder 0.0E5 0 -> NaN Division_undefined | |
| dqrem203 remainder 0.000 0 -> NaN Division_undefined | |
| dqrem204 remainder 0.0001 0 -> NaN Invalid_operation | |
| dqrem205 remainder 0.01 0 -> NaN Invalid_operation | |
| dqrem206 remainder 0.1 0 -> NaN Invalid_operation | |
| dqrem207 remainder 1 0 -> NaN Invalid_operation | |
| dqrem208 remainder 1 0.0 -> NaN Invalid_operation | |
| dqrem209 remainder 10 0.0 -> NaN Invalid_operation | |
| dqrem210 remainder 1E+100 0.0 -> NaN Invalid_operation | |
| dqrem211 remainder 1E+380 0 -> NaN Invalid_operation | |
| -- some differences from remainderNear | |
| dqrem231 remainder -0.4 1.020 -> -0.400 | |
| dqrem232 remainder -0.50 1.020 -> -0.500 | |
| dqrem233 remainder -0.51 1.020 -> -0.510 | |
| dqrem234 remainder -0.52 1.020 -> -0.520 | |
| dqrem235 remainder -0.6 1.020 -> -0.600 | |
| -- high Xs | |
| dqrem240 remainder 1E+2 1.00 -> 0.00 | |
| -- dqrem3xx are from DiagBigDecimal | |
| dqrem301 remainder 1 3 -> 1 | |
| dqrem302 remainder 5 5 -> 0 | |
| dqrem303 remainder 13 10 -> 3 | |
| dqrem304 remainder 13 50 -> 13 | |
| dqrem305 remainder 13 100 -> 13 | |
| dqrem306 remainder 13 1000 -> 13 | |
| dqrem307 remainder .13 1 -> 0.13 | |
| dqrem308 remainder 0.133 1 -> 0.133 | |
| dqrem309 remainder 0.1033 1 -> 0.1033 | |
| dqrem310 remainder 1.033 1 -> 0.033 | |
| dqrem311 remainder 10.33 1 -> 0.33 | |
| dqrem312 remainder 10.33 10 -> 0.33 | |
| dqrem313 remainder 103.3 1 -> 0.3 | |
| dqrem314 remainder 133 10 -> 3 | |
| dqrem315 remainder 1033 10 -> 3 | |
| dqrem316 remainder 1033 50 -> 33 | |
| dqrem317 remainder 101.0 3 -> 2.0 | |
| dqrem318 remainder 102.0 3 -> 0.0 | |
| dqrem319 remainder 103.0 3 -> 1.0 | |
| dqrem320 remainder 2.40 1 -> 0.40 | |
| dqrem321 remainder 2.400 1 -> 0.400 | |
| dqrem322 remainder 2.4 1 -> 0.4 | |
| dqrem323 remainder 2.4 2 -> 0.4 | |
| dqrem324 remainder 2.400 2 -> 0.400 | |
| dqrem325 remainder 1 0.3 -> 0.1 | |
| dqrem326 remainder 1 0.30 -> 0.10 | |
| dqrem327 remainder 1 0.300 -> 0.100 | |
| dqrem328 remainder 1 0.3000 -> 0.1000 | |
| dqrem329 remainder 1.0 0.3 -> 0.1 | |
| dqrem330 remainder 1.00 0.3 -> 0.10 | |
| dqrem331 remainder 1.000 0.3 -> 0.100 | |
| dqrem332 remainder 1.0000 0.3 -> 0.1000 | |
| dqrem333 remainder 0.5 2 -> 0.5 | |
| dqrem334 remainder 0.5 2.1 -> 0.5 | |
| dqrem335 remainder 0.5 2.01 -> 0.50 | |
| dqrem336 remainder 0.5 2.001 -> 0.500 | |
| dqrem337 remainder 0.50 2 -> 0.50 | |
| dqrem338 remainder 0.50 2.01 -> 0.50 | |
| dqrem339 remainder 0.50 2.001 -> 0.500 | |
| dqrem340 remainder 0.5 0.5000001 -> 0.5000000 | |
| dqrem341 remainder 0.5 0.50000001 -> 0.50000000 | |
| dqrem342 remainder 0.5 0.500000001 -> 0.500000000 | |
| dqrem343 remainder 0.5 0.5000000001 -> 0.5000000000 | |
| dqrem344 remainder 0.5 0.50000000001 -> 0.50000000000 | |
| dqrem345 remainder 0.5 0.4999999 -> 1E-7 | |
| dqrem346 remainder 0.5 0.49999999 -> 1E-8 | |
| dqrem347 remainder 0.5 0.499999999 -> 1E-9 | |
| dqrem348 remainder 0.5 0.4999999999 -> 1E-10 | |
| dqrem349 remainder 0.5 0.49999999999 -> 1E-11 | |
| dqrem350 remainder 0.5 0.499999999999 -> 1E-12 | |
| dqrem351 remainder 0.03 7 -> 0.03 | |
| dqrem352 remainder 5 2 -> 1 | |
| dqrem353 remainder 4.1 2 -> 0.1 | |
| dqrem354 remainder 4.01 2 -> 0.01 | |
| dqrem355 remainder 4.001 2 -> 0.001 | |
| dqrem356 remainder 4.0001 2 -> 0.0001 | |
| dqrem357 remainder 4.00001 2 -> 0.00001 | |
| dqrem358 remainder 4.000001 2 -> 0.000001 | |
| dqrem359 remainder 4.0000001 2 -> 1E-7 | |
| dqrem360 remainder 1.2 0.7345 -> 0.4655 | |
| dqrem361 remainder 0.8 12 -> 0.8 | |
| dqrem362 remainder 0.8 0.2 -> 0.0 | |
| dqrem363 remainder 0.8 0.3 -> 0.2 | |
| dqrem364 remainder 0.800 12 -> 0.800 | |
| dqrem365 remainder 0.800 1.7 -> 0.800 | |
| dqrem366 remainder 2.400 2 -> 0.400 | |
| dqrem371 remainder 2.400 2 -> 0.400 | |
| dqrem381 remainder 12345 1 -> 0 | |
| dqrem382 remainder 12345 1.0001 -> 0.7657 | |
| dqrem383 remainder 12345 1.001 -> 0.668 | |
| dqrem384 remainder 12345 1.01 -> 0.78 | |
| dqrem385 remainder 12345 1.1 -> 0.8 | |
| dqrem386 remainder 12355 4 -> 3 | |
| dqrem387 remainder 12345 4 -> 1 | |
| dqrem388 remainder 12355 4.0001 -> 2.6912 | |
| dqrem389 remainder 12345 4.0001 -> 0.6914 | |
| dqrem390 remainder 12345 4.9 -> 1.9 | |
| dqrem391 remainder 12345 4.99 -> 4.73 | |
| dqrem392 remainder 12345 4.999 -> 2.469 | |
| dqrem393 remainder 12345 4.9999 -> 0.2469 | |
| dqrem394 remainder 12345 5 -> 0 | |
| dqrem395 remainder 12345 5.0001 -> 4.7532 | |
| dqrem396 remainder 12345 5.001 -> 2.532 | |
| dqrem397 remainder 12345 5.01 -> 0.36 | |
| dqrem398 remainder 12345 5.1 -> 3.0 | |
| -- the nasty division-by-1 cases | |
| dqrem401 remainder 0.5 1 -> 0.5 | |
| dqrem402 remainder 0.55 1 -> 0.55 | |
| dqrem403 remainder 0.555 1 -> 0.555 | |
| dqrem404 remainder 0.5555 1 -> 0.5555 | |
| dqrem405 remainder 0.55555 1 -> 0.55555 | |
| dqrem406 remainder 0.555555 1 -> 0.555555 | |
| dqrem407 remainder 0.5555555 1 -> 0.5555555 | |
| dqrem408 remainder 0.55555555 1 -> 0.55555555 | |
| dqrem409 remainder 0.555555555 1 -> 0.555555555 | |
| -- folddowns | |
| dqrem421 remainder 1E+6144 1 -> NaN Division_impossible | |
| dqrem422 remainder 1E+6144 1E+6143 -> 0E+6111 Clamped | |
| dqrem423 remainder 1E+6144 2E+6143 -> 0E+6111 Clamped | |
| dqrem424 remainder 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped | |
| dqrem425 remainder 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped | |
| dqrem426 remainder 1E+6144 5E+6143 -> 0E+6111 Clamped | |
| dqrem427 remainder 1E+6144 6E+6143 -> 4.00000000000000000000000000000000E+6143 Clamped | |
| dqrem428 remainder 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped | |
| dqrem429 remainder 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped | |
| dqrem430 remainder 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped | |
| -- tinies | |
| dqrem431 remainder 1E-6175 1E-6176 -> 0E-6176 | |
| dqrem432 remainder 1E-6175 2E-6176 -> 0E-6176 | |
| dqrem433 remainder 1E-6175 3E-6176 -> 1E-6176 Subnormal | |
| dqrem434 remainder 1E-6175 4E-6176 -> 2E-6176 Subnormal | |
| dqrem435 remainder 1E-6175 5E-6176 -> 0E-6176 | |
| dqrem436 remainder 1E-6175 6E-6176 -> 4E-6176 Subnormal | |
| dqrem437 remainder 1E-6175 7E-6176 -> 3E-6176 Subnormal | |
| dqrem438 remainder 1E-6175 8E-6176 -> 2E-6176 Subnormal | |
| dqrem439 remainder 1E-6175 9E-6176 -> 1E-6176 Subnormal | |
| dqrem440 remainder 1E-6175 10E-6176 -> 0E-6176 | |
| dqrem441 remainder 1E-6175 11E-6176 -> 1.0E-6175 Subnormal | |
| dqrem442 remainder 100E-6175 11E-6176 -> 1.0E-6175 Subnormal | |
| dqrem443 remainder 100E-6175 20E-6176 -> 0E-6176 | |
| dqrem444 remainder 100E-6175 21E-6176 -> 1.3E-6175 Subnormal | |
| dqrem445 remainder 100E-6175 30E-6176 -> 1.0E-6175 Subnormal | |
| -- zero signs | |
| dqrem650 remainder 1 1 -> 0 | |
| dqrem651 remainder -1 1 -> -0 | |
| dqrem652 remainder 1 -1 -> 0 | |
| dqrem653 remainder -1 -1 -> -0 | |
| dqrem654 remainder 0 1 -> 0 | |
| dqrem655 remainder -0 1 -> -0 | |
| dqrem656 remainder 0 -1 -> 0 | |
| dqrem657 remainder -0 -1 -> -0 | |
| dqrem658 remainder 0.00 1 -> 0.00 | |
| dqrem659 remainder -0.00 1 -> -0.00 | |
| -- Specials | |
| dqrem680 remainder Inf -Inf -> NaN Invalid_operation | |
| dqrem681 remainder Inf -1000 -> NaN Invalid_operation | |
| dqrem682 remainder Inf -1 -> NaN Invalid_operation | |
| dqrem683 remainder Inf 0 -> NaN Invalid_operation | |
| dqrem684 remainder Inf -0 -> NaN Invalid_operation | |
| dqrem685 remainder Inf 1 -> NaN Invalid_operation | |
| dqrem686 remainder Inf 1000 -> NaN Invalid_operation | |
| dqrem687 remainder Inf Inf -> NaN Invalid_operation | |
| dqrem688 remainder -1000 Inf -> -1000 | |
| dqrem689 remainder -Inf Inf -> NaN Invalid_operation | |
| dqrem691 remainder -1 Inf -> -1 | |
| dqrem692 remainder 0 Inf -> 0 | |
| dqrem693 remainder -0 Inf -> -0 | |
| dqrem694 remainder 1 Inf -> 1 | |
| dqrem695 remainder 1000 Inf -> 1000 | |
| dqrem696 remainder Inf Inf -> NaN Invalid_operation | |
| dqrem700 remainder -Inf -Inf -> NaN Invalid_operation | |
| dqrem701 remainder -Inf -1000 -> NaN Invalid_operation | |
| dqrem702 remainder -Inf -1 -> NaN Invalid_operation | |
| dqrem703 remainder -Inf -0 -> NaN Invalid_operation | |
| dqrem704 remainder -Inf 0 -> NaN Invalid_operation | |
| dqrem705 remainder -Inf 1 -> NaN Invalid_operation | |
| dqrem706 remainder -Inf 1000 -> NaN Invalid_operation | |
| dqrem707 remainder -Inf Inf -> NaN Invalid_operation | |
| dqrem708 remainder -Inf -Inf -> NaN Invalid_operation | |
| dqrem709 remainder -1000 Inf -> -1000 | |
| dqrem710 remainder -1 -Inf -> -1 | |
| dqrem711 remainder -0 -Inf -> -0 | |
| dqrem712 remainder 0 -Inf -> 0 | |
| dqrem713 remainder 1 -Inf -> 1 | |
| dqrem714 remainder 1000 -Inf -> 1000 | |
| dqrem715 remainder Inf -Inf -> NaN Invalid_operation | |
| dqrem721 remainder NaN -Inf -> NaN | |
| dqrem722 remainder NaN -1000 -> NaN | |
| dqrem723 remainder NaN -1 -> NaN | |
| dqrem724 remainder NaN -0 -> NaN | |
| dqrem725 remainder -NaN 0 -> -NaN | |
| dqrem726 remainder NaN 1 -> NaN | |
| dqrem727 remainder NaN 1000 -> NaN | |
| dqrem728 remainder NaN Inf -> NaN | |
| dqrem729 remainder NaN -NaN -> NaN | |
| dqrem730 remainder -Inf NaN -> NaN | |
| dqrem731 remainder -1000 NaN -> NaN | |
| dqrem732 remainder -1 NaN -> NaN | |
| dqrem733 remainder -0 -NaN -> -NaN | |
| dqrem734 remainder 0 NaN -> NaN | |
| dqrem735 remainder 1 -NaN -> -NaN | |
| dqrem736 remainder 1000 NaN -> NaN | |
| dqrem737 remainder Inf NaN -> NaN | |
| dqrem741 remainder sNaN -Inf -> NaN Invalid_operation | |
| dqrem742 remainder sNaN -1000 -> NaN Invalid_operation | |
| dqrem743 remainder -sNaN -1 -> -NaN Invalid_operation | |
| dqrem744 remainder sNaN -0 -> NaN Invalid_operation | |
| dqrem745 remainder sNaN 0 -> NaN Invalid_operation | |
| dqrem746 remainder sNaN 1 -> NaN Invalid_operation | |
| dqrem747 remainder sNaN 1000 -> NaN Invalid_operation | |
| dqrem749 remainder sNaN NaN -> NaN Invalid_operation | |
| dqrem750 remainder sNaN sNaN -> NaN Invalid_operation | |
| dqrem751 remainder NaN sNaN -> NaN Invalid_operation | |
| dqrem752 remainder -Inf sNaN -> NaN Invalid_operation | |
| dqrem753 remainder -1000 sNaN -> NaN Invalid_operation | |
| dqrem754 remainder -1 sNaN -> NaN Invalid_operation | |
| dqrem755 remainder -0 sNaN -> NaN Invalid_operation | |
| dqrem756 remainder 0 sNaN -> NaN Invalid_operation | |
| dqrem757 remainder 1 sNaN -> NaN Invalid_operation | |
| dqrem758 remainder 1000 sNaN -> NaN Invalid_operation | |
| dqrem759 remainder Inf -sNaN -> -NaN Invalid_operation | |
| -- propaging NaNs | |
| dqrem760 remainder NaN1 NaN7 -> NaN1 | |
| dqrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation | |
| dqrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation | |
| dqrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation | |
| dqrem764 remainder 15 NaN11 -> NaN11 | |
| dqrem765 remainder NaN6 NaN12 -> NaN6 | |
| dqrem766 remainder Inf NaN13 -> NaN13 | |
| dqrem767 remainder NaN14 -Inf -> NaN14 | |
| dqrem768 remainder 0 NaN15 -> NaN15 | |
| dqrem769 remainder NaN16 -0 -> NaN16 | |
| -- edge cases of impossible | |
| dqrem770 remainder 1234568888888887777777777890123456 10 -> 6 | |
| dqrem771 remainder 1234568888888887777777777890123456 1 -> 0 | |
| dqrem772 remainder 1234568888888887777777777890123456 0.1 -> NaN Division_impossible | |
| dqrem773 remainder 1234568888888887777777777890123456 0.01 -> NaN Division_impossible | |
| -- long operand checks | |
| dqrem801 remainder 12345678000 100 -> 0 | |
| dqrem802 remainder 1 12345678000 -> 1 | |
| dqrem803 remainder 1234567800 10 -> 0 | |
| dqrem804 remainder 1 1234567800 -> 1 | |
| dqrem805 remainder 1234567890 10 -> 0 | |
| dqrem806 remainder 1 1234567890 -> 1 | |
| dqrem807 remainder 1234567891 10 -> 1 | |
| dqrem808 remainder 1 1234567891 -> 1 | |
| dqrem809 remainder 12345678901 100 -> 1 | |
| dqrem810 remainder 1 12345678901 -> 1 | |
| dqrem811 remainder 1234567896 10 -> 6 | |
| dqrem812 remainder 1 1234567896 -> 1 | |
| dqrem821 remainder 12345678000 100 -> 0 | |
| dqrem822 remainder 1 12345678000 -> 1 | |
| dqrem823 remainder 1234567800 10 -> 0 | |
| dqrem824 remainder 1 1234567800 -> 1 | |
| dqrem825 remainder 1234567890 10 -> 0 | |
| dqrem826 remainder 1 1234567890 -> 1 | |
| dqrem827 remainder 1234567891 10 -> 1 | |
| dqrem828 remainder 1 1234567891 -> 1 | |
| dqrem829 remainder 12345678901 100 -> 1 | |
| dqrem830 remainder 1 12345678901 -> 1 | |
| dqrem831 remainder 1234567896 10 -> 6 | |
| dqrem832 remainder 1 1234567896 -> 1 | |
| -- from divideint | |
| dqrem840 remainder 100000000.0 1 -> 0.0 | |
| dqrem841 remainder 100000000.4 1 -> 0.4 | |
| dqrem842 remainder 100000000.5 1 -> 0.5 | |
| dqrem843 remainder 100000000.9 1 -> 0.9 | |
| dqrem844 remainder 100000000.999 1 -> 0.999 | |
| dqrem850 remainder 100000003 5 -> 3 | |
| dqrem851 remainder 10000003 5 -> 3 | |
| dqrem852 remainder 1000003 5 -> 3 | |
| dqrem853 remainder 100003 5 -> 3 | |
| dqrem854 remainder 10003 5 -> 3 | |
| dqrem855 remainder 1003 5 -> 3 | |
| dqrem856 remainder 103 5 -> 3 | |
| dqrem857 remainder 13 5 -> 3 | |
| dqrem858 remainder 1 5 -> 1 | |
| -- Vladimir's cases 1234567890123456 | |
| dqrem860 remainder 123.0e1 1000000000000000 -> 1230 | |
| dqrem861 remainder 1230 1000000000000000 -> 1230 | |
| dqrem862 remainder 12.3e2 1000000000000000 -> 1230 | |
| dqrem863 remainder 1.23e3 1000000000000000 -> 1230 | |
| dqrem864 remainder 123e1 1000000000000000 -> 1230 | |
| dqrem870 remainder 123e1 1000000000000000 -> 1230 | |
| dqrem871 remainder 123e1 100000000000000 -> 1230 | |
| dqrem872 remainder 123e1 10000000000000 -> 1230 | |
| dqrem873 remainder 123e1 1000000000000 -> 1230 | |
| dqrem874 remainder 123e1 100000000000 -> 1230 | |
| dqrem875 remainder 123e1 10000000000 -> 1230 | |
| dqrem876 remainder 123e1 1000000000 -> 1230 | |
| dqrem877 remainder 123e1 100000000 -> 1230 | |
| dqrem878 remainder 1230 100000000 -> 1230 | |
| dqrem879 remainder 123e1 10000000 -> 1230 | |
| dqrem880 remainder 123e1 1000000 -> 1230 | |
| dqrem881 remainder 123e1 100000 -> 1230 | |
| dqrem882 remainder 123e1 10000 -> 1230 | |
| dqrem883 remainder 123e1 1000 -> 230 | |
| dqrem884 remainder 123e1 100 -> 30 | |
| dqrem885 remainder 123e1 10 -> 0 | |
| dqrem886 remainder 123e1 1 -> 0 | |
| dqrem890 remainder 123e1 2000000000000000 -> 1230 | |
| dqrem891 remainder 123e1 200000000000000 -> 1230 | |
| dqrem892 remainder 123e1 20000000000000 -> 1230 | |
| dqrem893 remainder 123e1 2000000000000 -> 1230 | |
| dqrem894 remainder 123e1 200000000000 -> 1230 | |
| dqrem895 remainder 123e1 20000000000 -> 1230 | |
| dqrem896 remainder 123e1 2000000000 -> 1230 | |
| dqrem897 remainder 123e1 200000000 -> 1230 | |
| dqrem899 remainder 123e1 20000000 -> 1230 | |
| dqrem900 remainder 123e1 2000000 -> 1230 | |
| dqrem901 remainder 123e1 200000 -> 1230 | |
| dqrem902 remainder 123e1 20000 -> 1230 | |
| dqrem903 remainder 123e1 2000 -> 1230 | |
| dqrem904 remainder 123e1 200 -> 30 | |
| dqrem905 remainder 123e1 20 -> 10 | |
| dqrem906 remainder 123e1 2 -> 0 | |
| dqrem910 remainder 123e1 5000000000000000 -> 1230 | |
| dqrem911 remainder 123e1 500000000000000 -> 1230 | |
| dqrem912 remainder 123e1 50000000000000 -> 1230 | |
| dqrem913 remainder 123e1 5000000000000 -> 1230 | |
| dqrem914 remainder 123e1 500000000000 -> 1230 | |
| dqrem915 remainder 123e1 50000000000 -> 1230 | |
| dqrem916 remainder 123e1 5000000000 -> 1230 | |
| dqrem917 remainder 123e1 500000000 -> 1230 | |
| dqrem919 remainder 123e1 50000000 -> 1230 | |
| dqrem920 remainder 123e1 5000000 -> 1230 | |
| dqrem921 remainder 123e1 500000 -> 1230 | |
| dqrem922 remainder 123e1 50000 -> 1230 | |
| dqrem923 remainder 123e1 5000 -> 1230 | |
| dqrem924 remainder 123e1 500 -> 230 | |
| dqrem925 remainder 123e1 50 -> 30 | |
| dqrem926 remainder 123e1 5 -> 0 | |
| dqrem930 remainder 123e1 9000000000000000 -> 1230 | |
| dqrem931 remainder 123e1 900000000000000 -> 1230 | |
| dqrem932 remainder 123e1 90000000000000 -> 1230 | |
| dqrem933 remainder 123e1 9000000000000 -> 1230 | |
| dqrem934 remainder 123e1 900000000000 -> 1230 | |
| dqrem935 remainder 123e1 90000000000 -> 1230 | |
| dqrem936 remainder 123e1 9000000000 -> 1230 | |
| dqrem937 remainder 123e1 900000000 -> 1230 | |
| dqrem939 remainder 123e1 90000000 -> 1230 | |
| dqrem940 remainder 123e1 9000000 -> 1230 | |
| dqrem941 remainder 123e1 900000 -> 1230 | |
| dqrem942 remainder 123e1 90000 -> 1230 | |
| dqrem943 remainder 123e1 9000 -> 1230 | |
| dqrem944 remainder 123e1 900 -> 330 | |
| dqrem945 remainder 123e1 90 -> 60 | |
| dqrem946 remainder 123e1 9 -> 6 | |
| dqrem950 remainder 123e1 1000000000000000 -> 1230 | |
| dqrem961 remainder 123e1 2999999999999999 -> 1230 | |
| dqrem962 remainder 123e1 3999999999999999 -> 1230 | |
| dqrem963 remainder 123e1 4999999999999999 -> 1230 | |
| dqrem964 remainder 123e1 5999999999999999 -> 1230 | |
| dqrem965 remainder 123e1 6999999999999999 -> 1230 | |
| dqrem966 remainder 123e1 7999999999999999 -> 1230 | |
| dqrem967 remainder 123e1 8999999999999999 -> 1230 | |
| dqrem968 remainder 123e1 9999999999999999 -> 1230 | |
| dqrem969 remainder 123e1 9876543210987654 -> 1230 | |
| dqrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally | |
| -- overflow and underflow tests [from divide] | |
| dqrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible | |
| dqrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible | |
| dqrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible | |
| dqrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible | |
| dqrem1055 remainder 1e-277 1e+311 -> 1E-277 | |
| dqrem1056 remainder 1e-277 -1e+311 -> 1E-277 | |
| dqrem1057 remainder -1e-277 1e+311 -> -1E-277 | |
| dqrem1058 remainder -1e-277 -1e+311 -> -1E-277 | |
| -- Gyuris example | |
| dqrem1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143 | |
| -- destructive subtract | |
| dqrem1120 remainder 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> 0.765432109876543210987654321098768 | |
| dqrem1121 remainder 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> 0.65432109876543210987654321098779 | |
| dqrem1122 remainder 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> 0.5432109876543210987654321098890 | |
| dqrem1123 remainder 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> 2.691358027469135802746913580274687 | |
| dqrem1124 remainder 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692 | |
| dqrem1125 remainder 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> 3.6913578024691357802469135780251 | |
| dqrem1126 remainder 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247 | |
| dqrem1127 remainder 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> 4.246913578024691357802469135780246 | |
| dqrem1128 remainder 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> 4.3086421975308642197530864219759 | |
| -- Null tests | |
| dqrem1000 remainder 10 # -> NaN Invalid_operation | |
| dqrem1001 remainder # 10 -> NaN Invalid_operation | |