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cpython/Lib/test/decimaltestdata/ddRemainder.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
------------------------------------------------------------------------
-- ddRemainder.decTest -- decDouble remainder --
-- Copyright (c) IBM Corporation, 1981, 2007. 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 --
------------------------------------------------------------------------
Test cases from Cowlishaw, v2.57. All are pased cleanly.
2007-11-23 14:14:50 -04:00
version: 2.57
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
precision: 16
maxExponent: 384
minExponent: -383
extended: 1
clamp: 1
rounding: half_even
-- sanity checks (as base, above)
ddrem001 remainder 1 1 -> 0
ddrem002 remainder 2 1 -> 0
ddrem003 remainder 1 2 -> 1
ddrem004 remainder 2 2 -> 0
ddrem005 remainder 0 1 -> 0
ddrem006 remainder 0 2 -> 0
ddrem007 remainder 1 3 -> 1
ddrem008 remainder 2 3 -> 2
ddrem009 remainder 3 3 -> 0
ddrem010 remainder 2.4 1 -> 0.4
ddrem011 remainder 2.4 -1 -> 0.4
ddrem012 remainder -2.4 1 -> -0.4
ddrem013 remainder -2.4 -1 -> -0.4
ddrem014 remainder 2.40 1 -> 0.40
ddrem015 remainder 2.400 1 -> 0.400
ddrem016 remainder 2.4 2 -> 0.4
ddrem017 remainder 2.400 2 -> 0.400
ddrem018 remainder 2. 2 -> 0
ddrem019 remainder 20 20 -> 0
ddrem020 remainder 187 187 -> 0
ddrem021 remainder 5 2 -> 1
ddrem022 remainder 5 2.0 -> 1.0
ddrem023 remainder 5 2.000 -> 1.000
ddrem024 remainder 5 0.200 -> 0.000
ddrem025 remainder 5 0.200 -> 0.000
ddrem030 remainder 1 2 -> 1
ddrem031 remainder 1 4 -> 1
ddrem032 remainder 1 8 -> 1
ddrem033 remainder 1 16 -> 1
ddrem034 remainder 1 32 -> 1
ddrem035 remainder 1 64 -> 1
ddrem040 remainder 1 -2 -> 1
ddrem041 remainder 1 -4 -> 1
ddrem042 remainder 1 -8 -> 1
ddrem043 remainder 1 -16 -> 1
ddrem044 remainder 1 -32 -> 1
ddrem045 remainder 1 -64 -> 1
ddrem050 remainder -1 2 -> -1
ddrem051 remainder -1 4 -> -1
ddrem052 remainder -1 8 -> -1
ddrem053 remainder -1 16 -> -1
ddrem054 remainder -1 32 -> -1
ddrem055 remainder -1 64 -> -1
ddrem060 remainder -1 -2 -> -1
ddrem061 remainder -1 -4 -> -1
ddrem062 remainder -1 -8 -> -1
ddrem063 remainder -1 -16 -> -1
ddrem064 remainder -1 -32 -> -1
ddrem065 remainder -1 -64 -> -1
ddrem066 remainder 999999999 1 -> 0
ddrem067 remainder 999999999.4 1 -> 0.4
ddrem068 remainder 999999999.5 1 -> 0.5
ddrem069 remainder 999999999.9 1 -> 0.9
ddrem070 remainder 999999999.999 1 -> 0.999
ddrem071 remainder 999999.999999 1 -> 0.999999
ddrem072 remainder 9 1 -> 0
ddrem073 remainder 9999999999999999 1 -> 0
ddrem074 remainder 9999999999999999 2 -> 1
ddrem075 remainder 9999999999999999 3 -> 0
ddrem076 remainder 9999999999999999 4 -> 3
ddrem080 remainder 0. 1 -> 0
ddrem081 remainder .0 1 -> 0.0
ddrem082 remainder 0.00 1 -> 0.00
ddrem083 remainder 0.00E+9 1 -> 0
ddrem084 remainder 0.00E+3 1 -> 0
ddrem085 remainder 0.00E+2 1 -> 0
ddrem086 remainder 0.00E+1 1 -> 0.0
ddrem087 remainder 0.00E+0 1 -> 0.00
ddrem088 remainder 0.00E-0 1 -> 0.00
ddrem089 remainder 0.00E-1 1 -> 0.000
ddrem090 remainder 0.00E-2 1 -> 0.0000
ddrem091 remainder 0.00E-3 1 -> 0.00000
ddrem092 remainder 0.00E-4 1 -> 0.000000
ddrem093 remainder 0.00E-5 1 -> 0E-7
ddrem094 remainder 0.00E-6 1 -> 0E-8
ddrem095 remainder 0.0000E-50 1 -> 0E-54
-- Various flavours of remainder by 0
ddrem101 remainder 0 0 -> NaN Division_undefined
ddrem102 remainder 0 -0 -> NaN Division_undefined
ddrem103 remainder -0 0 -> NaN Division_undefined
ddrem104 remainder -0 -0 -> NaN Division_undefined
ddrem105 remainder 0.0E5 0 -> NaN Division_undefined
ddrem106 remainder 0.000 0 -> NaN Division_undefined
-- [Some think this next group should be Division_by_zero exception, but
-- IEEE 854 is explicit that it is Invalid operation .. for
-- remainder-near, anyway]
ddrem107 remainder 0.0001 0 -> NaN Invalid_operation
ddrem108 remainder 0.01 0 -> NaN Invalid_operation
ddrem109 remainder 0.1 0 -> NaN Invalid_operation
ddrem110 remainder 1 0 -> NaN Invalid_operation
ddrem111 remainder 1 0.0 -> NaN Invalid_operation
ddrem112 remainder 10 0.0 -> NaN Invalid_operation
ddrem113 remainder 1E+100 0.0 -> NaN Invalid_operation
ddrem114 remainder 1E+380 0 -> NaN Invalid_operation
ddrem115 remainder 0.0001 -0 -> NaN Invalid_operation
ddrem116 remainder 0.01 -0 -> NaN Invalid_operation
ddrem119 remainder 0.1 -0 -> NaN Invalid_operation
ddrem120 remainder 1 -0 -> NaN Invalid_operation
ddrem121 remainder 1 -0.0 -> NaN Invalid_operation
ddrem122 remainder 10 -0.0 -> NaN Invalid_operation
ddrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation
ddrem124 remainder 1E+384 -0 -> NaN Invalid_operation
-- and zeros on left
ddrem130 remainder 0 1 -> 0
ddrem131 remainder 0 -1 -> 0
ddrem132 remainder 0.0 1 -> 0.0
ddrem133 remainder 0.0 -1 -> 0.0
ddrem134 remainder -0 1 -> -0
ddrem135 remainder -0 -1 -> -0
ddrem136 remainder -0.0 1 -> -0.0
ddrem137 remainder -0.0 -1 -> -0.0
-- 0.5ers
ddrem143 remainder 0.5 2 -> 0.5
ddrem144 remainder 0.5 2.1 -> 0.5
ddrem145 remainder 0.5 2.01 -> 0.50
ddrem146 remainder 0.5 2.001 -> 0.500
ddrem147 remainder 0.50 2 -> 0.50
ddrem148 remainder 0.50 2.01 -> 0.50
ddrem149 remainder 0.50 2.001 -> 0.500
-- steadies
ddrem150 remainder 1 1 -> 0
ddrem151 remainder 1 2 -> 1
ddrem152 remainder 1 3 -> 1
ddrem153 remainder 1 4 -> 1
ddrem154 remainder 1 5 -> 1
ddrem155 remainder 1 6 -> 1
ddrem156 remainder 1 7 -> 1
ddrem157 remainder 1 8 -> 1
ddrem158 remainder 1 9 -> 1
ddrem159 remainder 1 10 -> 1
ddrem160 remainder 1 1 -> 0
ddrem161 remainder 2 1 -> 0
ddrem162 remainder 3 1 -> 0
ddrem163 remainder 4 1 -> 0
ddrem164 remainder 5 1 -> 0
ddrem165 remainder 6 1 -> 0
ddrem166 remainder 7 1 -> 0
ddrem167 remainder 8 1 -> 0
ddrem168 remainder 9 1 -> 0
ddrem169 remainder 10 1 -> 0
-- some differences from remainderNear
ddrem171 remainder 0.4 1.020 -> 0.400
ddrem172 remainder 0.50 1.020 -> 0.500
ddrem173 remainder 0.51 1.020 -> 0.510
ddrem174 remainder 0.52 1.020 -> 0.520
ddrem175 remainder 0.6 1.020 -> 0.600
-- More flavours of remainder by 0
ddrem201 remainder 0 0 -> NaN Division_undefined
ddrem202 remainder 0.0E5 0 -> NaN Division_undefined
ddrem203 remainder 0.000 0 -> NaN Division_undefined
ddrem204 remainder 0.0001 0 -> NaN Invalid_operation
ddrem205 remainder 0.01 0 -> NaN Invalid_operation
ddrem206 remainder 0.1 0 -> NaN Invalid_operation
ddrem207 remainder 1 0 -> NaN Invalid_operation
ddrem208 remainder 1 0.0 -> NaN Invalid_operation
ddrem209 remainder 10 0.0 -> NaN Invalid_operation
ddrem210 remainder 1E+100 0.0 -> NaN Invalid_operation
ddrem211 remainder 1E+380 0 -> NaN Invalid_operation
-- some differences from remainderNear
ddrem231 remainder -0.4 1.020 -> -0.400
ddrem232 remainder -0.50 1.020 -> -0.500
ddrem233 remainder -0.51 1.020 -> -0.510
ddrem234 remainder -0.52 1.020 -> -0.520
ddrem235 remainder -0.6 1.020 -> -0.600
-- high Xs
ddrem240 remainder 1E+2 1.00 -> 0.00
-- ddrem3xx are from DiagBigDecimal
ddrem301 remainder 1 3 -> 1
ddrem302 remainder 5 5 -> 0
ddrem303 remainder 13 10 -> 3
ddrem304 remainder 13 50 -> 13
ddrem305 remainder 13 100 -> 13
ddrem306 remainder 13 1000 -> 13
ddrem307 remainder .13 1 -> 0.13
ddrem308 remainder 0.133 1 -> 0.133
ddrem309 remainder 0.1033 1 -> 0.1033
ddrem310 remainder 1.033 1 -> 0.033
ddrem311 remainder 10.33 1 -> 0.33
ddrem312 remainder 10.33 10 -> 0.33
ddrem313 remainder 103.3 1 -> 0.3
ddrem314 remainder 133 10 -> 3
ddrem315 remainder 1033 10 -> 3
ddrem316 remainder 1033 50 -> 33
ddrem317 remainder 101.0 3 -> 2.0
ddrem318 remainder 102.0 3 -> 0.0
ddrem319 remainder 103.0 3 -> 1.0
ddrem320 remainder 2.40 1 -> 0.40
ddrem321 remainder 2.400 1 -> 0.400
ddrem322 remainder 2.4 1 -> 0.4
ddrem323 remainder 2.4 2 -> 0.4
ddrem324 remainder 2.400 2 -> 0.400
ddrem325 remainder 1 0.3 -> 0.1
ddrem326 remainder 1 0.30 -> 0.10
ddrem327 remainder 1 0.300 -> 0.100
ddrem328 remainder 1 0.3000 -> 0.1000
ddrem329 remainder 1.0 0.3 -> 0.1
ddrem330 remainder 1.00 0.3 -> 0.10
ddrem331 remainder 1.000 0.3 -> 0.100
ddrem332 remainder 1.0000 0.3 -> 0.1000
ddrem333 remainder 0.5 2 -> 0.5
ddrem334 remainder 0.5 2.1 -> 0.5
ddrem335 remainder 0.5 2.01 -> 0.50
ddrem336 remainder 0.5 2.001 -> 0.500
ddrem337 remainder 0.50 2 -> 0.50
ddrem338 remainder 0.50 2.01 -> 0.50
ddrem339 remainder 0.50 2.001 -> 0.500
ddrem340 remainder 0.5 0.5000001 -> 0.5000000
ddrem341 remainder 0.5 0.50000001 -> 0.50000000
ddrem342 remainder 0.5 0.500000001 -> 0.500000000
ddrem343 remainder 0.5 0.5000000001 -> 0.5000000000
ddrem344 remainder 0.5 0.50000000001 -> 0.50000000000
ddrem345 remainder 0.5 0.4999999 -> 1E-7
ddrem346 remainder 0.5 0.49999999 -> 1E-8
ddrem347 remainder 0.5 0.499999999 -> 1E-9
ddrem348 remainder 0.5 0.4999999999 -> 1E-10
ddrem349 remainder 0.5 0.49999999999 -> 1E-11
ddrem350 remainder 0.5 0.499999999999 -> 1E-12
ddrem351 remainder 0.03 7 -> 0.03
ddrem352 remainder 5 2 -> 1
ddrem353 remainder 4.1 2 -> 0.1
ddrem354 remainder 4.01 2 -> 0.01
ddrem355 remainder 4.001 2 -> 0.001
ddrem356 remainder 4.0001 2 -> 0.0001
ddrem357 remainder 4.00001 2 -> 0.00001
ddrem358 remainder 4.000001 2 -> 0.000001
ddrem359 remainder 4.0000001 2 -> 1E-7
ddrem360 remainder 1.2 0.7345 -> 0.4655
ddrem361 remainder 0.8 12 -> 0.8
ddrem362 remainder 0.8 0.2 -> 0.0
ddrem363 remainder 0.8 0.3 -> 0.2
ddrem364 remainder 0.800 12 -> 0.800
ddrem365 remainder 0.800 1.7 -> 0.800
ddrem366 remainder 2.400 2 -> 0.400
ddrem371 remainder 2.400 2 -> 0.400
ddrem381 remainder 12345 1 -> 0
ddrem382 remainder 12345 1.0001 -> 0.7657
ddrem383 remainder 12345 1.001 -> 0.668
ddrem384 remainder 12345 1.01 -> 0.78
ddrem385 remainder 12345 1.1 -> 0.8
ddrem386 remainder 12355 4 -> 3
ddrem387 remainder 12345 4 -> 1
ddrem388 remainder 12355 4.0001 -> 2.6912
ddrem389 remainder 12345 4.0001 -> 0.6914
ddrem390 remainder 12345 4.9 -> 1.9
ddrem391 remainder 12345 4.99 -> 4.73
ddrem392 remainder 12345 4.999 -> 2.469
ddrem393 remainder 12345 4.9999 -> 0.2469
ddrem394 remainder 12345 5 -> 0
ddrem395 remainder 12345 5.0001 -> 4.7532
ddrem396 remainder 12345 5.001 -> 2.532
ddrem397 remainder 12345 5.01 -> 0.36
ddrem398 remainder 12345 5.1 -> 3.0
-- the nasty division-by-1 cases
ddrem401 remainder 0.5 1 -> 0.5
ddrem402 remainder 0.55 1 -> 0.55
ddrem403 remainder 0.555 1 -> 0.555
ddrem404 remainder 0.5555 1 -> 0.5555
ddrem405 remainder 0.55555 1 -> 0.55555
ddrem406 remainder 0.555555 1 -> 0.555555
ddrem407 remainder 0.5555555 1 -> 0.5555555
ddrem408 remainder 0.55555555 1 -> 0.55555555
ddrem409 remainder 0.555555555 1 -> 0.555555555
-- folddowns
ddrem421 remainder 1E+384 1 -> NaN Division_impossible
ddrem422 remainder 1E+384 1E+383 -> 0E+369 Clamped
ddrem423 remainder 1E+384 2E+383 -> 0E+369 Clamped
ddrem424 remainder 1E+384 3E+383 -> 1.00000000000000E+383 Clamped
ddrem425 remainder 1E+384 4E+383 -> 2.00000000000000E+383 Clamped
ddrem426 remainder 1E+384 5E+383 -> 0E+369 Clamped
ddrem427 remainder 1E+384 6E+383 -> 4.00000000000000E+383 Clamped
ddrem428 remainder 1E+384 7E+383 -> 3.00000000000000E+383 Clamped
ddrem429 remainder 1E+384 8E+383 -> 2.00000000000000E+383 Clamped
ddrem430 remainder 1E+384 9E+383 -> 1.00000000000000E+383 Clamped
-- tinies
ddrem431 remainder 1E-397 1E-398 -> 0E-398
ddrem432 remainder 1E-397 2E-398 -> 0E-398
ddrem433 remainder 1E-397 3E-398 -> 1E-398 Subnormal
ddrem434 remainder 1E-397 4E-398 -> 2E-398 Subnormal
ddrem435 remainder 1E-397 5E-398 -> 0E-398
ddrem436 remainder 1E-397 6E-398 -> 4E-398 Subnormal
ddrem437 remainder 1E-397 7E-398 -> 3E-398 Subnormal
ddrem438 remainder 1E-397 8E-398 -> 2E-398 Subnormal
ddrem439 remainder 1E-397 9E-398 -> 1E-398 Subnormal
ddrem440 remainder 1E-397 10E-398 -> 0E-398
ddrem441 remainder 1E-397 11E-398 -> 1.0E-397 Subnormal
ddrem442 remainder 100E-397 11E-398 -> 1.0E-397 Subnormal
ddrem443 remainder 100E-397 20E-398 -> 0E-398
ddrem444 remainder 100E-397 21E-398 -> 1.3E-397 Subnormal
ddrem445 remainder 100E-397 30E-398 -> 1.0E-397 Subnormal
-- zero signs
ddrem650 remainder 1 1 -> 0
ddrem651 remainder -1 1 -> -0
ddrem652 remainder 1 -1 -> 0
ddrem653 remainder -1 -1 -> -0
ddrem654 remainder 0 1 -> 0
ddrem655 remainder -0 1 -> -0
ddrem656 remainder 0 -1 -> 0
ddrem657 remainder -0 -1 -> -0
ddrem658 remainder 0.00 1 -> 0.00
ddrem659 remainder -0.00 1 -> -0.00
-- Specials
ddrem680 remainder Inf -Inf -> NaN Invalid_operation
ddrem681 remainder Inf -1000 -> NaN Invalid_operation
ddrem682 remainder Inf -1 -> NaN Invalid_operation
ddrem683 remainder Inf 0 -> NaN Invalid_operation
ddrem684 remainder Inf -0 -> NaN Invalid_operation
ddrem685 remainder Inf 1 -> NaN Invalid_operation
ddrem686 remainder Inf 1000 -> NaN Invalid_operation
ddrem687 remainder Inf Inf -> NaN Invalid_operation
ddrem688 remainder -1000 Inf -> -1000
ddrem689 remainder -Inf Inf -> NaN Invalid_operation
ddrem691 remainder -1 Inf -> -1
ddrem692 remainder 0 Inf -> 0
ddrem693 remainder -0 Inf -> -0
ddrem694 remainder 1 Inf -> 1
ddrem695 remainder 1000 Inf -> 1000
ddrem696 remainder Inf Inf -> NaN Invalid_operation
ddrem700 remainder -Inf -Inf -> NaN Invalid_operation
ddrem701 remainder -Inf -1000 -> NaN Invalid_operation
ddrem702 remainder -Inf -1 -> NaN Invalid_operation
ddrem703 remainder -Inf -0 -> NaN Invalid_operation
ddrem704 remainder -Inf 0 -> NaN Invalid_operation
ddrem705 remainder -Inf 1 -> NaN Invalid_operation
ddrem706 remainder -Inf 1000 -> NaN Invalid_operation
ddrem707 remainder -Inf Inf -> NaN Invalid_operation
ddrem708 remainder -Inf -Inf -> NaN Invalid_operation
ddrem709 remainder -1000 Inf -> -1000
ddrem710 remainder -1 -Inf -> -1
ddrem711 remainder -0 -Inf -> -0
ddrem712 remainder 0 -Inf -> 0
ddrem713 remainder 1 -Inf -> 1
ddrem714 remainder 1000 -Inf -> 1000
ddrem715 remainder Inf -Inf -> NaN Invalid_operation
ddrem721 remainder NaN -Inf -> NaN
ddrem722 remainder NaN -1000 -> NaN
ddrem723 remainder NaN -1 -> NaN
ddrem724 remainder NaN -0 -> NaN
ddrem725 remainder -NaN 0 -> -NaN
ddrem726 remainder NaN 1 -> NaN
ddrem727 remainder NaN 1000 -> NaN
ddrem728 remainder NaN Inf -> NaN
ddrem729 remainder NaN -NaN -> NaN
ddrem730 remainder -Inf NaN -> NaN
ddrem731 remainder -1000 NaN -> NaN
ddrem732 remainder -1 NaN -> NaN
ddrem733 remainder -0 -NaN -> -NaN
ddrem734 remainder 0 NaN -> NaN
ddrem735 remainder 1 -NaN -> -NaN
ddrem736 remainder 1000 NaN -> NaN
ddrem737 remainder Inf NaN -> NaN
ddrem741 remainder sNaN -Inf -> NaN Invalid_operation
ddrem742 remainder sNaN -1000 -> NaN Invalid_operation
ddrem743 remainder -sNaN -1 -> -NaN Invalid_operation
ddrem744 remainder sNaN -0 -> NaN Invalid_operation
ddrem745 remainder sNaN 0 -> NaN Invalid_operation
ddrem746 remainder sNaN 1 -> NaN Invalid_operation
ddrem747 remainder sNaN 1000 -> NaN Invalid_operation
ddrem749 remainder sNaN NaN -> NaN Invalid_operation
ddrem750 remainder sNaN sNaN -> NaN Invalid_operation
ddrem751 remainder NaN sNaN -> NaN Invalid_operation
ddrem752 remainder -Inf sNaN -> NaN Invalid_operation
ddrem753 remainder -1000 sNaN -> NaN Invalid_operation
ddrem754 remainder -1 sNaN -> NaN Invalid_operation
ddrem755 remainder -0 sNaN -> NaN Invalid_operation
ddrem756 remainder 0 sNaN -> NaN Invalid_operation
ddrem757 remainder 1 sNaN -> NaN Invalid_operation
ddrem758 remainder 1000 sNaN -> NaN Invalid_operation
ddrem759 remainder Inf -sNaN -> -NaN Invalid_operation
-- propaging NaNs
ddrem760 remainder NaN1 NaN7 -> NaN1
ddrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation
ddrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation
ddrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation
ddrem764 remainder 15 NaN11 -> NaN11
ddrem765 remainder NaN6 NaN12 -> NaN6
ddrem766 remainder Inf NaN13 -> NaN13
ddrem767 remainder NaN14 -Inf -> NaN14
ddrem768 remainder 0 NaN15 -> NaN15
ddrem769 remainder NaN16 -0 -> NaN16
-- edge cases of impossible
ddrem770 remainder 1234567890123456 10 -> 6
ddrem771 remainder 1234567890123456 1 -> 0
ddrem772 remainder 1234567890123456 0.1 -> NaN Division_impossible
ddrem773 remainder 1234567890123456 0.01 -> NaN Division_impossible
-- long operand checks
ddrem801 remainder 12345678000 100 -> 0
ddrem802 remainder 1 12345678000 -> 1
ddrem803 remainder 1234567800 10 -> 0
ddrem804 remainder 1 1234567800 -> 1
ddrem805 remainder 1234567890 10 -> 0
ddrem806 remainder 1 1234567890 -> 1
ddrem807 remainder 1234567891 10 -> 1
ddrem808 remainder 1 1234567891 -> 1
ddrem809 remainder 12345678901 100 -> 1
ddrem810 remainder 1 12345678901 -> 1
ddrem811 remainder 1234567896 10 -> 6
ddrem812 remainder 1 1234567896 -> 1
ddrem821 remainder 12345678000 100 -> 0
ddrem822 remainder 1 12345678000 -> 1
ddrem823 remainder 1234567800 10 -> 0
ddrem824 remainder 1 1234567800 -> 1
ddrem825 remainder 1234567890 10 -> 0
ddrem826 remainder 1 1234567890 -> 1
ddrem827 remainder 1234567891 10 -> 1
ddrem828 remainder 1 1234567891 -> 1
ddrem829 remainder 12345678901 100 -> 1
ddrem830 remainder 1 12345678901 -> 1
ddrem831 remainder 1234567896 10 -> 6
ddrem832 remainder 1 1234567896 -> 1
-- from divideint
ddrem840 remainder 100000000.0 1 -> 0.0
ddrem841 remainder 100000000.4 1 -> 0.4
ddrem842 remainder 100000000.5 1 -> 0.5
ddrem843 remainder 100000000.9 1 -> 0.9
ddrem844 remainder 100000000.999 1 -> 0.999
ddrem850 remainder 100000003 5 -> 3
ddrem851 remainder 10000003 5 -> 3
ddrem852 remainder 1000003 5 -> 3
ddrem853 remainder 100003 5 -> 3
ddrem854 remainder 10003 5 -> 3
ddrem855 remainder 1003 5 -> 3
ddrem856 remainder 103 5 -> 3
ddrem857 remainder 13 5 -> 3
ddrem858 remainder 1 5 -> 1
-- Vladimir's cases 1234567890123456
ddrem860 remainder 123.0e1 1000000000000000 -> 1230
ddrem861 remainder 1230 1000000000000000 -> 1230
ddrem862 remainder 12.3e2 1000000000000000 -> 1230
ddrem863 remainder 1.23e3 1000000000000000 -> 1230
ddrem864 remainder 123e1 1000000000000000 -> 1230
ddrem870 remainder 123e1 1000000000000000 -> 1230
ddrem871 remainder 123e1 100000000000000 -> 1230
ddrem872 remainder 123e1 10000000000000 -> 1230
ddrem873 remainder 123e1 1000000000000 -> 1230
ddrem874 remainder 123e1 100000000000 -> 1230
ddrem875 remainder 123e1 10000000000 -> 1230
ddrem876 remainder 123e1 1000000000 -> 1230
ddrem877 remainder 123e1 100000000 -> 1230
ddrem878 remainder 1230 100000000 -> 1230
ddrem879 remainder 123e1 10000000 -> 1230
ddrem880 remainder 123e1 1000000 -> 1230
ddrem881 remainder 123e1 100000 -> 1230
ddrem882 remainder 123e1 10000 -> 1230
ddrem883 remainder 123e1 1000 -> 230
ddrem884 remainder 123e1 100 -> 30
ddrem885 remainder 123e1 10 -> 0
ddrem886 remainder 123e1 1 -> 0
ddrem890 remainder 123e1 2000000000000000 -> 1230
ddrem891 remainder 123e1 200000000000000 -> 1230
ddrem892 remainder 123e1 20000000000000 -> 1230
ddrem893 remainder 123e1 2000000000000 -> 1230
ddrem894 remainder 123e1 200000000000 -> 1230
ddrem895 remainder 123e1 20000000000 -> 1230
ddrem896 remainder 123e1 2000000000 -> 1230
ddrem897 remainder 123e1 200000000 -> 1230
ddrem899 remainder 123e1 20000000 -> 1230
ddrem900 remainder 123e1 2000000 -> 1230
ddrem901 remainder 123e1 200000 -> 1230
ddrem902 remainder 123e1 20000 -> 1230
ddrem903 remainder 123e1 2000 -> 1230
ddrem904 remainder 123e1 200 -> 30
ddrem905 remainder 123e1 20 -> 10
ddrem906 remainder 123e1 2 -> 0
ddrem910 remainder 123e1 5000000000000000 -> 1230
ddrem911 remainder 123e1 500000000000000 -> 1230
ddrem912 remainder 123e1 50000000000000 -> 1230
ddrem913 remainder 123e1 5000000000000 -> 1230
ddrem914 remainder 123e1 500000000000 -> 1230
ddrem915 remainder 123e1 50000000000 -> 1230
ddrem916 remainder 123e1 5000000000 -> 1230
ddrem917 remainder 123e1 500000000 -> 1230
ddrem919 remainder 123e1 50000000 -> 1230
ddrem920 remainder 123e1 5000000 -> 1230
ddrem921 remainder 123e1 500000 -> 1230
ddrem922 remainder 123e1 50000 -> 1230
ddrem923 remainder 123e1 5000 -> 1230
ddrem924 remainder 123e1 500 -> 230
ddrem925 remainder 123e1 50 -> 30
ddrem926 remainder 123e1 5 -> 0
ddrem930 remainder 123e1 9000000000000000 -> 1230
ddrem931 remainder 123e1 900000000000000 -> 1230
ddrem932 remainder 123e1 90000000000000 -> 1230
ddrem933 remainder 123e1 9000000000000 -> 1230
ddrem934 remainder 123e1 900000000000 -> 1230
ddrem935 remainder 123e1 90000000000 -> 1230
ddrem936 remainder 123e1 9000000000 -> 1230
ddrem937 remainder 123e1 900000000 -> 1230
ddrem939 remainder 123e1 90000000 -> 1230
ddrem940 remainder 123e1 9000000 -> 1230
ddrem941 remainder 123e1 900000 -> 1230
ddrem942 remainder 123e1 90000 -> 1230
ddrem943 remainder 123e1 9000 -> 1230
ddrem944 remainder 123e1 900 -> 330
ddrem945 remainder 123e1 90 -> 60
ddrem946 remainder 123e1 9 -> 6
ddrem950 remainder 123e1 1000000000000000 -> 1230
ddrem961 remainder 123e1 2999999999999999 -> 1230
ddrem962 remainder 123e1 3999999999999999 -> 1230
ddrem963 remainder 123e1 4999999999999999 -> 1230
ddrem964 remainder 123e1 5999999999999999 -> 1230
ddrem965 remainder 123e1 6999999999999999 -> 1230
ddrem966 remainder 123e1 7999999999999999 -> 1230
ddrem967 remainder 123e1 8999999999999999 -> 1230
ddrem968 remainder 123e1 9999999999999999 -> 1230
ddrem969 remainder 123e1 9876543210987654 -> 1230
ddrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
-- overflow and underflow tests [from divide]
ddrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible
ddrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible
ddrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible
ddrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible
ddrem1055 remainder 1e-277 1e+311 -> 1E-277
ddrem1056 remainder 1e-277 -1e+311 -> 1E-277
ddrem1057 remainder -1e-277 1e+311 -> -1E-277
ddrem1058 remainder -1e-277 -1e+311 -> -1E-277
Test cases from Cowlishaw, v2.57. All are pased cleanly.
2007-11-23 14:14:50 -04:00
-- destructive subtract
ddrem1101 remainder 1234567890123456 1.000000000000001 -> 0.765432109876546
ddrem1102 remainder 1234567890123456 1.00000000000001 -> 0.65432109876557
ddrem1103 remainder 1234567890123456 1.0000000000001 -> 0.5432109876668
ddrem1104 remainder 1234567890123455 4.000000000000001 -> 2.691358027469137
ddrem1105 remainder 1234567890123456 4.000000000000001 -> 3.691358027469137
ddrem1106 remainder 1234567890123456 4.9999999999999 -> 0.6913578024696
ddrem1107 remainder 1234567890123456 4.99999999999999 -> 3.46913578024691
ddrem1108 remainder 1234567890123456 4.999999999999999 -> 1.246913578024691
ddrem1109 remainder 1234567890123456 5.000000000000001 -> 0.753086421975309
ddrem1110 remainder 1234567890123456 5.00000000000001 -> 3.53086421975310
ddrem1111 remainder 1234567890123456 5.0000000000001 -> 1.3086421975314
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
ddrem1000 remainder 10 # -> NaN Invalid_operation
ddrem1001 remainder # 10 -> NaN Invalid_operation