diff options
Diffstat (limited to 'Lib/test/decimaltestdata/dqRemainder.decTest')
-rw-r--r-- | Lib/test/decimaltestdata/dqRemainder.decTest | 1194 |
1 files changed, 597 insertions, 597 deletions
diff --git a/Lib/test/decimaltestdata/dqRemainder.decTest b/Lib/test/decimaltestdata/dqRemainder.decTest index 090d3cf..bae8eae 100644 --- a/Lib/test/decimaltestdata/dqRemainder.decTest +++ b/Lib/test/decimaltestdata/dqRemainder.decTest @@ -1,597 +1,597 @@ ------------------------------------------------------------------------- --- 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 - +------------------------------------------------------------------------
+-- 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
+
|