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cpython/Lib/test/decimaltestdata/dqRemainder.decTest

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Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
------------------------------------------------------------------------
-- dqRemainder.decTest -- decQuad remainder --
Issue #3449: Update decimal module to use most recent specification (v. 1.68) and tests (v. 2.58) from IBM.
2008-07-27 03:39:07 -03:00
-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
------------------------------------------------------------------------
-- 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 --
------------------------------------------------------------------------
Update decimal test data to the most recent set from Mike Cowlishaw.
2009-10-08 13:28:39 -03:00
version: 2.59
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
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
Test cases from Cowlishaw, v2.57. All are pased cleanly.
2007-11-23 14:14:50 -04:00
-- 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
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
-- Null tests
dqrem1000 remainder 10 # -> NaN Invalid_operation
dqrem1001 remainder # 10 -> NaN Invalid_operation