diff options
Diffstat (limited to 'Lib/test/decimaltestdata/ddRemainder.decTest')
| -rw-r--r-- | Lib/test/decimaltestdata/ddRemainder.decTest | 1200 |
1 files changed, 600 insertions, 600 deletions
diff --git a/Lib/test/decimaltestdata/ddRemainder.decTest b/Lib/test/decimaltestdata/ddRemainder.decTest index 85d86f9..5bd1e32 100644 --- a/Lib/test/decimaltestdata/ddRemainder.decTest +++ b/Lib/test/decimaltestdata/ddRemainder.decTest @@ -1,600 +1,600 @@ ------------------------------------------------------------------------- --- 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 - +------------------------------------------------------------------------
+-- 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
+
|