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-rw-r--r--Lib/test/decimaltestdata/dqRemainder.decTest1194
1 files changed, 597 insertions, 597 deletions
diff --git a/Lib/test/decimaltestdata/dqRemainder.decTest b/Lib/test/decimaltestdata/dqRemainder.decTest
index bae8eae..090d3cf 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
+
generated by cgit v0.12 at 2024-12-05 01:26:41 (GMT)