------------------------------------------------------------------------
-- 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 --
-- [email protected] --
------------------------------------------------------------------------
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
-- propagating 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
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