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cpython/Lib/test/decimaltestdata/remainder.decTest

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Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
------------------------------------------------------------------------
-- remainder.decTest -- decimal remainder --
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
-- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. --
Move Decimal from the sandbox into production.
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------------------------------------------------------------------------
-- 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 --
------------------------------------------------------------------------
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
version: 2.56
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
extended: 1
precision: 9
rounding: half_up
maxExponent: 384
minexponent: -383
-- sanity checks (as base, above)
remx001 remainder 1 1 -> 0
remx002 remainder 2 1 -> 0
remx003 remainder 1 2 -> 1
remx004 remainder 2 2 -> 0
remx005 remainder 0 1 -> 0
remx006 remainder 0 2 -> 0
remx007 remainder 1 3 -> 1
remx008 remainder 2 3 -> 2
remx009 remainder 3 3 -> 0
remx010 remainder 2.4 1 -> 0.4
remx011 remainder 2.4 -1 -> 0.4
remx012 remainder -2.4 1 -> -0.4
remx013 remainder -2.4 -1 -> -0.4
remx014 remainder 2.40 1 -> 0.40
remx015 remainder 2.400 1 -> 0.400
remx016 remainder 2.4 2 -> 0.4
remx017 remainder 2.400 2 -> 0.400
remx018 remainder 2. 2 -> 0
remx019 remainder 20 20 -> 0
remx020 remainder 187 187 -> 0
remx021 remainder 5 2 -> 1
remx022 remainder 5 2.0 -> 1.0
remx023 remainder 5 2.000 -> 1.000
remx024 remainder 5 0.200 -> 0.000
remx025 remainder 5 0.200 -> 0.000
remx030 remainder 1 2 -> 1
remx031 remainder 1 4 -> 1
remx032 remainder 1 8 -> 1
remx033 remainder 1 16 -> 1
remx034 remainder 1 32 -> 1
remx035 remainder 1 64 -> 1
remx040 remainder 1 -2 -> 1
remx041 remainder 1 -4 -> 1
remx042 remainder 1 -8 -> 1
remx043 remainder 1 -16 -> 1
remx044 remainder 1 -32 -> 1
remx045 remainder 1 -64 -> 1
remx050 remainder -1 2 -> -1
remx051 remainder -1 4 -> -1
remx052 remainder -1 8 -> -1
remx053 remainder -1 16 -> -1
remx054 remainder -1 32 -> -1
remx055 remainder -1 64 -> -1
remx060 remainder -1 -2 -> -1
remx061 remainder -1 -4 -> -1
remx062 remainder -1 -8 -> -1
remx063 remainder -1 -16 -> -1
remx064 remainder -1 -32 -> -1
remx065 remainder -1 -64 -> -1
remx066 remainder 999999999 1 -> 0
remx067 remainder 999999999.4 1 -> 0.4
remx068 remainder 999999999.5 1 -> 0.5
remx069 remainder 999999999.9 1 -> 0.9
remx070 remainder 999999999.999 1 -> 0.999
precision: 6
remx071 remainder 999999999 1 -> NaN Division_impossible
remx072 remainder 99999999 1 -> NaN Division_impossible
remx073 remainder 9999999 1 -> NaN Division_impossible
remx074 remainder 999999 1 -> 0
remx075 remainder 99999 1 -> 0
remx076 remainder 9999 1 -> 0
remx077 remainder 999 1 -> 0
remx078 remainder 99 1 -> 0
remx079 remainder 9 1 -> 0
precision: 9
remx080 remainder 0. 1 -> 0
remx081 remainder .0 1 -> 0.0
remx082 remainder 0.00 1 -> 0.00
remx083 remainder 0.00E+9 1 -> 0
remx084 remainder 0.00E+3 1 -> 0
remx085 remainder 0.00E+2 1 -> 0
remx086 remainder 0.00E+1 1 -> 0.0
remx087 remainder 0.00E+0 1 -> 0.00
remx088 remainder 0.00E-0 1 -> 0.00
remx089 remainder 0.00E-1 1 -> 0.000
remx090 remainder 0.00E-2 1 -> 0.0000
remx091 remainder 0.00E-3 1 -> 0.00000
remx092 remainder 0.00E-4 1 -> 0.000000
remx093 remainder 0.00E-5 1 -> 0E-7
remx094 remainder 0.00E-6 1 -> 0E-8
remx095 remainder 0.0000E-50 1 -> 0E-54
-- Various flavours of remainder by 0
precision: 9
maxexponent: 999999999
minexponent: -999999999
remx101 remainder 0 0 -> NaN Division_undefined
remx102 remainder 0 -0 -> NaN Division_undefined
remx103 remainder -0 0 -> NaN Division_undefined
remx104 remainder -0 -0 -> NaN Division_undefined
remx105 remainder 0.0E5 0 -> NaN Division_undefined
remx106 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]
remx107 remainder 0.0001 0 -> NaN Invalid_operation
remx108 remainder 0.01 0 -> NaN Invalid_operation
remx109 remainder 0.1 0 -> NaN Invalid_operation
remx110 remainder 1 0 -> NaN Invalid_operation
remx111 remainder 1 0.0 -> NaN Invalid_operation
remx112 remainder 10 0.0 -> NaN Invalid_operation
remx113 remainder 1E+100 0.0 -> NaN Invalid_operation
remx114 remainder 1E+1000 0 -> NaN Invalid_operation
remx115 remainder 0.0001 -0 -> NaN Invalid_operation
remx116 remainder 0.01 -0 -> NaN Invalid_operation
remx119 remainder 0.1 -0 -> NaN Invalid_operation
remx120 remainder 1 -0 -> NaN Invalid_operation
remx121 remainder 1 -0.0 -> NaN Invalid_operation
remx122 remainder 10 -0.0 -> NaN Invalid_operation
remx123 remainder 1E+100 -0.0 -> NaN Invalid_operation
remx124 remainder 1E+1000 -0 -> NaN Invalid_operation
-- and zeros on left
remx130 remainder 0 1 -> 0
remx131 remainder 0 -1 -> 0
remx132 remainder 0.0 1 -> 0.0
remx133 remainder 0.0 -1 -> 0.0
remx134 remainder -0 1 -> -0
remx135 remainder -0 -1 -> -0
remx136 remainder -0.0 1 -> -0.0
remx137 remainder -0.0 -1 -> -0.0
-- 0.5ers
remx143 remainder 0.5 2 -> 0.5
remx144 remainder 0.5 2.1 -> 0.5
remx145 remainder 0.5 2.01 -> 0.50
remx146 remainder 0.5 2.001 -> 0.500
remx147 remainder 0.50 2 -> 0.50
remx148 remainder 0.50 2.01 -> 0.50
remx149 remainder 0.50 2.001 -> 0.500
-- steadies
remx150 remainder 1 1 -> 0
remx151 remainder 1 2 -> 1
remx152 remainder 1 3 -> 1
remx153 remainder 1 4 -> 1
remx154 remainder 1 5 -> 1
remx155 remainder 1 6 -> 1
remx156 remainder 1 7 -> 1
remx157 remainder 1 8 -> 1
remx158 remainder 1 9 -> 1
remx159 remainder 1 10 -> 1
remx160 remainder 1 1 -> 0
remx161 remainder 2 1 -> 0
remx162 remainder 3 1 -> 0
remx163 remainder 4 1 -> 0
remx164 remainder 5 1 -> 0
remx165 remainder 6 1 -> 0
remx166 remainder 7 1 -> 0
remx167 remainder 8 1 -> 0
remx168 remainder 9 1 -> 0
remx169 remainder 10 1 -> 0
-- some differences from remainderNear
remx171 remainder 0.4 1.020 -> 0.400
remx172 remainder 0.50 1.020 -> 0.500
remx173 remainder 0.51 1.020 -> 0.510
remx174 remainder 0.52 1.020 -> 0.520
remx175 remainder 0.6 1.020 -> 0.600
-- More flavours of remainder by 0
maxexponent: 999999999
minexponent: -999999999
remx201 remainder 0 0 -> NaN Division_undefined
remx202 remainder 0.0E5 0 -> NaN Division_undefined
remx203 remainder 0.000 0 -> NaN Division_undefined
remx204 remainder 0.0001 0 -> NaN Invalid_operation
remx205 remainder 0.01 0 -> NaN Invalid_operation
remx206 remainder 0.1 0 -> NaN Invalid_operation
remx207 remainder 1 0 -> NaN Invalid_operation
remx208 remainder 1 0.0 -> NaN Invalid_operation
remx209 remainder 10 0.0 -> NaN Invalid_operation
remx210 remainder 1E+100 0.0 -> NaN Invalid_operation
remx211 remainder 1E+1000 0 -> NaN Invalid_operation
-- some differences from remainderNear
remx231 remainder -0.4 1.020 -> -0.400
remx232 remainder -0.50 1.020 -> -0.500
remx233 remainder -0.51 1.020 -> -0.510
remx234 remainder -0.52 1.020 -> -0.520
remx235 remainder -0.6 1.020 -> -0.600
-- high Xs
remx240 remainder 1E+2 1.00 -> 0.00
-- test some cases that are close to exponent overflow
maxexponent: 999999999
minexponent: -999999999
remx270 remainder 1 1e999999999 -> 1
remx271 remainder 1 0.9e999999999 -> 1
remx272 remainder 1 0.99e999999999 -> 1
remx273 remainder 1 0.999999999e999999999 -> 1
remx274 remainder 9e999999999 1 -> NaN Division_impossible
remx275 remainder 9.9e999999999 1 -> NaN Division_impossible
remx276 remainder 9.99e999999999 1 -> NaN Division_impossible
remx277 remainder 9.99999999e999999999 1 -> NaN Division_impossible
remx280 remainder 0.1 9e-999999999 -> NaN Division_impossible
remx281 remainder 0.1 99e-999999999 -> NaN Division_impossible
remx282 remainder 0.1 999e-999999999 -> NaN Division_impossible
remx283 remainder 0.1 9e-999999998 -> NaN Division_impossible
remx284 remainder 0.1 99e-999999998 -> NaN Division_impossible
remx285 remainder 0.1 999e-999999998 -> NaN Division_impossible
remx286 remainder 0.1 999e-999999997 -> NaN Division_impossible
remx287 remainder 0.1 9999e-999999997 -> NaN Division_impossible
remx288 remainder 0.1 99999e-999999997 -> NaN Division_impossible
-- remx3xx are from DiagBigDecimal
remx301 remainder 1 3 -> 1
remx302 remainder 5 5 -> 0
remx303 remainder 13 10 -> 3
remx304 remainder 13 50 -> 13
remx305 remainder 13 100 -> 13
remx306 remainder 13 1000 -> 13
remx307 remainder .13 1 -> 0.13
remx308 remainder 0.133 1 -> 0.133
remx309 remainder 0.1033 1 -> 0.1033
remx310 remainder 1.033 1 -> 0.033
remx311 remainder 10.33 1 -> 0.33
remx312 remainder 10.33 10 -> 0.33
remx313 remainder 103.3 1 -> 0.3
remx314 remainder 133 10 -> 3
remx315 remainder 1033 10 -> 3
remx316 remainder 1033 50 -> 33
remx317 remainder 101.0 3 -> 2.0
remx318 remainder 102.0 3 -> 0.0
remx319 remainder 103.0 3 -> 1.0
remx320 remainder 2.40 1 -> 0.40
remx321 remainder 2.400 1 -> 0.400
remx322 remainder 2.4 1 -> 0.4
remx323 remainder 2.4 2 -> 0.4
remx324 remainder 2.400 2 -> 0.400
remx325 remainder 1 0.3 -> 0.1
remx326 remainder 1 0.30 -> 0.10
remx327 remainder 1 0.300 -> 0.100
remx328 remainder 1 0.3000 -> 0.1000
remx329 remainder 1.0 0.3 -> 0.1
remx330 remainder 1.00 0.3 -> 0.10
remx331 remainder 1.000 0.3 -> 0.100
remx332 remainder 1.0000 0.3 -> 0.1000
remx333 remainder 0.5 2 -> 0.5
remx334 remainder 0.5 2.1 -> 0.5
remx335 remainder 0.5 2.01 -> 0.50
remx336 remainder 0.5 2.001 -> 0.500
remx337 remainder 0.50 2 -> 0.50
remx338 remainder 0.50 2.01 -> 0.50
remx339 remainder 0.50 2.001 -> 0.500
remx340 remainder 0.5 0.5000001 -> 0.5000000
remx341 remainder 0.5 0.50000001 -> 0.50000000
remx342 remainder 0.5 0.500000001 -> 0.500000000
remx343 remainder 0.5 0.5000000001 -> 0.500000000 Rounded
remx344 remainder 0.5 0.50000000001 -> 0.500000000 Rounded
remx345 remainder 0.5 0.4999999 -> 1E-7
remx346 remainder 0.5 0.49999999 -> 1E-8
remx347 remainder 0.5 0.499999999 -> 1E-9
remx348 remainder 0.5 0.4999999999 -> 1E-10
remx349 remainder 0.5 0.49999999999 -> 1E-11
remx350 remainder 0.5 0.499999999999 -> 1E-12
remx351 remainder 0.03 7 -> 0.03
remx352 remainder 5 2 -> 1
remx353 remainder 4.1 2 -> 0.1
remx354 remainder 4.01 2 -> 0.01
remx355 remainder 4.001 2 -> 0.001
remx356 remainder 4.0001 2 -> 0.0001
remx357 remainder 4.00001 2 -> 0.00001
remx358 remainder 4.000001 2 -> 0.000001
remx359 remainder 4.0000001 2 -> 1E-7
remx360 remainder 1.2 0.7345 -> 0.4655
remx361 remainder 0.8 12 -> 0.8
remx362 remainder 0.8 0.2 -> 0.0
remx363 remainder 0.8 0.3 -> 0.2
remx364 remainder 0.800 12 -> 0.800
remx365 remainder 0.800 1.7 -> 0.800
remx366 remainder 2.400 2 -> 0.400
precision: 6
remx371 remainder 2.400 2 -> 0.400
precision: 3
-- long operand, rounded, case
remx372 remainder 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded
-- 12000000000000
precision: 5
remx381 remainder 12345 1 -> 0
remx382 remainder 12345 1.0001 -> 0.7657
remx383 remainder 12345 1.001 -> 0.668
remx384 remainder 12345 1.01 -> 0.78
remx385 remainder 12345 1.1 -> 0.8
remx386 remainder 12355 4 -> 3
remx387 remainder 12345 4 -> 1
remx388 remainder 12355 4.0001 -> 2.6912
remx389 remainder 12345 4.0001 -> 0.6914
remx390 remainder 12345 4.9 -> 1.9
remx391 remainder 12345 4.99 -> 4.73
remx392 remainder 12345 4.999 -> 2.469
remx393 remainder 12345 4.9999 -> 0.2469
remx394 remainder 12345 5 -> 0
remx395 remainder 12345 5.0001 -> 4.7532
remx396 remainder 12345 5.001 -> 2.532
remx397 remainder 12345 5.01 -> 0.36
remx398 remainder 12345 5.1 -> 3.0
precision: 9
-- the nasty division-by-1 cases
remx401 remainder 0.5 1 -> 0.5
remx402 remainder 0.55 1 -> 0.55
remx403 remainder 0.555 1 -> 0.555
remx404 remainder 0.5555 1 -> 0.5555
remx405 remainder 0.55555 1 -> 0.55555
remx406 remainder 0.555555 1 -> 0.555555
remx407 remainder 0.5555555 1 -> 0.5555555
remx408 remainder 0.55555555 1 -> 0.55555555
remx409 remainder 0.555555555 1 -> 0.555555555
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
-- zero signs
remx650 remainder 1 1 -> 0
remx651 remainder -1 1 -> -0
remx652 remainder 1 -1 -> 0
remx653 remainder -1 -1 -> -0
remx654 remainder 0 1 -> 0
remx655 remainder -0 1 -> -0
remx656 remainder 0 -1 -> 0
remx657 remainder -0 -1 -> -0
remx658 remainder 0.00 1 -> 0.00
remx659 remainder -0.00 1 -> -0.00
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- Specials
remx680 remainder Inf -Inf -> NaN Invalid_operation
remx681 remainder Inf -1000 -> NaN Invalid_operation
remx682 remainder Inf -1 -> NaN Invalid_operation
remx683 remainder Inf 0 -> NaN Invalid_operation
remx684 remainder Inf -0 -> NaN Invalid_operation
remx685 remainder Inf 1 -> NaN Invalid_operation
remx686 remainder Inf 1000 -> NaN Invalid_operation
remx687 remainder Inf Inf -> NaN Invalid_operation
remx688 remainder -1000 Inf -> -1000
remx689 remainder -Inf Inf -> NaN Invalid_operation
remx691 remainder -1 Inf -> -1
remx692 remainder 0 Inf -> 0
remx693 remainder -0 Inf -> -0
remx694 remainder 1 Inf -> 1
remx695 remainder 1000 Inf -> 1000
remx696 remainder Inf Inf -> NaN Invalid_operation
remx700 remainder -Inf -Inf -> NaN Invalid_operation
remx701 remainder -Inf -1000 -> NaN Invalid_operation
remx702 remainder -Inf -1 -> NaN Invalid_operation
remx703 remainder -Inf -0 -> NaN Invalid_operation
remx704 remainder -Inf 0 -> NaN Invalid_operation
remx705 remainder -Inf 1 -> NaN Invalid_operation
remx706 remainder -Inf 1000 -> NaN Invalid_operation
remx707 remainder -Inf Inf -> NaN Invalid_operation
remx708 remainder -Inf -Inf -> NaN Invalid_operation
remx709 remainder -1000 Inf -> -1000
remx710 remainder -1 -Inf -> -1
remx711 remainder -0 -Inf -> -0
remx712 remainder 0 -Inf -> 0
remx713 remainder 1 -Inf -> 1
remx714 remainder 1000 -Inf -> 1000
remx715 remainder Inf -Inf -> NaN Invalid_operation
remx721 remainder NaN -Inf -> NaN
remx722 remainder NaN -1000 -> NaN
remx723 remainder NaN -1 -> NaN
remx724 remainder NaN -0 -> NaN
remx725 remainder -NaN 0 -> -NaN
remx726 remainder NaN 1 -> NaN
remx727 remainder NaN 1000 -> NaN
remx728 remainder NaN Inf -> NaN
remx729 remainder NaN -NaN -> NaN
remx730 remainder -Inf NaN -> NaN
remx731 remainder -1000 NaN -> NaN
remx732 remainder -1 NaN -> NaN
remx733 remainder -0 -NaN -> -NaN
remx734 remainder 0 NaN -> NaN
remx735 remainder 1 -NaN -> -NaN
remx736 remainder 1000 NaN -> NaN
remx737 remainder Inf NaN -> NaN
remx741 remainder sNaN -Inf -> NaN Invalid_operation
remx742 remainder sNaN -1000 -> NaN Invalid_operation
remx743 remainder -sNaN -1 -> -NaN Invalid_operation
remx744 remainder sNaN -0 -> NaN Invalid_operation
remx745 remainder sNaN 0 -> NaN Invalid_operation
remx746 remainder sNaN 1 -> NaN Invalid_operation
remx747 remainder sNaN 1000 -> NaN Invalid_operation
remx749 remainder sNaN NaN -> NaN Invalid_operation
remx750 remainder sNaN sNaN -> NaN Invalid_operation
remx751 remainder NaN sNaN -> NaN Invalid_operation
remx752 remainder -Inf sNaN -> NaN Invalid_operation
remx753 remainder -1000 sNaN -> NaN Invalid_operation
remx754 remainder -1 sNaN -> NaN Invalid_operation
remx755 remainder -0 sNaN -> NaN Invalid_operation
remx756 remainder 0 sNaN -> NaN Invalid_operation
remx757 remainder 1 sNaN -> NaN Invalid_operation
remx758 remainder 1000 sNaN -> NaN Invalid_operation
remx759 remainder Inf -sNaN -> -NaN Invalid_operation
-- propaging NaNs
remx760 remainder NaN1 NaN7 -> NaN1
remx761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation
remx762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation
remx763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation
remx764 remainder 15 NaN11 -> NaN11
remx765 remainder NaN6 NaN12 -> NaN6
remx766 remainder Inf NaN13 -> NaN13
remx767 remainder NaN14 -Inf -> NaN14
remx768 remainder 0 NaN15 -> NaN15
remx769 remainder NaN16 -0 -> NaN16
-- test some cases that are close to exponent overflow
maxexponent: 999999999
minexponent: -999999999
remx770 remainder 1 1e999999999 -> 1
remx771 remainder 1 0.9e999999999 -> 1
remx772 remainder 1 0.99e999999999 -> 1
remx773 remainder 1 0.999999999e999999999 -> 1
remx774 remainder 9e999999999 1 -> NaN Division_impossible
remx775 remainder 9.9e999999999 1 -> NaN Division_impossible
remx776 remainder 9.99e999999999 1 -> NaN Division_impossible
remx777 remainder 9.99999999e999999999 1 -> NaN Division_impossible
-- long operand checks
maxexponent: 999
minexponent: -999
precision: 9
remx801 remainder 12345678000 100 -> 0
remx802 remainder 1 12345678000 -> 1
remx803 remainder 1234567800 10 -> 0
remx804 remainder 1 1234567800 -> 1
remx805 remainder 1234567890 10 -> 0
remx806 remainder 1 1234567890 -> 1
remx807 remainder 1234567891 10 -> 1
remx808 remainder 1 1234567891 -> 1
remx809 remainder 12345678901 100 -> 1
remx810 remainder 1 12345678901 -> 1
remx811 remainder 1234567896 10 -> 6
remx812 remainder 1 1234567896 -> 1
precision: 15
remx821 remainder 12345678000 100 -> 0
remx822 remainder 1 12345678000 -> 1
remx823 remainder 1234567800 10 -> 0
remx824 remainder 1 1234567800 -> 1
remx825 remainder 1234567890 10 -> 0
remx826 remainder 1 1234567890 -> 1
remx827 remainder 1234567891 10 -> 1
remx828 remainder 1 1234567891 -> 1
remx829 remainder 12345678901 100 -> 1
remx830 remainder 1 12345678901 -> 1
remx831 remainder 1234567896 10 -> 6
remx832 remainder 1 1234567896 -> 1
-- worries from divideint
precision: 8
remx840 remainder 100000000.0 1 -> NaN Division_impossible
remx841 remainder 100000000.4 1 -> NaN Division_impossible
remx842 remainder 100000000.5 1 -> NaN Division_impossible
remx843 remainder 100000000.9 1 -> NaN Division_impossible
remx844 remainder 100000000.999 1 -> NaN Division_impossible
precision: 6
remx850 remainder 100000003 5 -> NaN Division_impossible
remx851 remainder 10000003 5 -> NaN Division_impossible
remx852 remainder 1000003 5 -> 3
remx853 remainder 100003 5 -> 3
remx854 remainder 10003 5 -> 3
remx855 remainder 1003 5 -> 3
remx856 remainder 103 5 -> 3
remx857 remainder 13 5 -> 3
remx858 remainder 1 5 -> 1
-- Vladimir's cases
remx860 remainder 123.0e1 10000000000000000 -> 1230
remx861 remainder 1230 10000000000000000 -> 1230
remx862 remainder 12.3e2 10000000000000000 -> 1230
remx863 remainder 1.23e3 10000000000000000 -> 1230
remx864 remainder 123e1 10000000000000000 -> 1230
remx870 remainder 123e1 1000000000000000 -> 1230
remx871 remainder 123e1 100000000000000 -> 1230
remx872 remainder 123e1 10000000000000 -> 1230
remx873 remainder 123e1 1000000000000 -> 1230
remx874 remainder 123e1 100000000000 -> 1230
remx875 remainder 123e1 10000000000 -> 1230
remx876 remainder 123e1 1000000000 -> 1230
remx877 remainder 123e1 100000000 -> 1230
remx878 remainder 1230 100000000 -> 1230
remx879 remainder 123e1 10000000 -> 1230
remx880 remainder 123e1 1000000 -> 1230
remx881 remainder 123e1 100000 -> 1230
remx882 remainder 123e1 10000 -> 1230
remx883 remainder 123e1 1000 -> 230
remx884 remainder 123e1 100 -> 30
remx885 remainder 123e1 10 -> 0
remx886 remainder 123e1 1 -> 0
remx889 remainder 123e1 20000000000000000 -> 1230
remx890 remainder 123e1 2000000000000000 -> 1230
remx891 remainder 123e1 200000000000000 -> 1230
remx892 remainder 123e1 20000000000000 -> 1230
remx893 remainder 123e1 2000000000000 -> 1230
remx894 remainder 123e1 200000000000 -> 1230
remx895 remainder 123e1 20000000000 -> 1230
remx896 remainder 123e1 2000000000 -> 1230
remx897 remainder 123e1 200000000 -> 1230
remx899 remainder 123e1 20000000 -> 1230
remx900 remainder 123e1 2000000 -> 1230
remx901 remainder 123e1 200000 -> 1230
remx902 remainder 123e1 20000 -> 1230
remx903 remainder 123e1 2000 -> 1230
remx904 remainder 123e1 200 -> 30
remx905 remainder 123e1 20 -> 10
remx906 remainder 123e1 2 -> 0
remx909 remainder 123e1 50000000000000000 -> 1230
remx910 remainder 123e1 5000000000000000 -> 1230
remx911 remainder 123e1 500000000000000 -> 1230
remx912 remainder 123e1 50000000000000 -> 1230
remx913 remainder 123e1 5000000000000 -> 1230
remx914 remainder 123e1 500000000000 -> 1230
remx915 remainder 123e1 50000000000 -> 1230
remx916 remainder 123e1 5000000000 -> 1230
remx917 remainder 123e1 500000000 -> 1230
remx919 remainder 123e1 50000000 -> 1230
remx920 remainder 123e1 5000000 -> 1230
remx921 remainder 123e1 500000 -> 1230
remx922 remainder 123e1 50000 -> 1230
remx923 remainder 123e1 5000 -> 1230
remx924 remainder 123e1 500 -> 230
remx925 remainder 123e1 50 -> 30
remx926 remainder 123e1 5 -> 0
remx929 remainder 123e1 90000000000000000 -> 1230
remx930 remainder 123e1 9000000000000000 -> 1230
remx931 remainder 123e1 900000000000000 -> 1230
remx932 remainder 123e1 90000000000000 -> 1230
remx933 remainder 123e1 9000000000000 -> 1230
remx934 remainder 123e1 900000000000 -> 1230
remx935 remainder 123e1 90000000000 -> 1230
remx936 remainder 123e1 9000000000 -> 1230
remx937 remainder 123e1 900000000 -> 1230
remx939 remainder 123e1 90000000 -> 1230
remx940 remainder 123e1 9000000 -> 1230
remx941 remainder 123e1 900000 -> 1230
remx942 remainder 123e1 90000 -> 1230
remx943 remainder 123e1 9000 -> 1230
remx944 remainder 123e1 900 -> 330
remx945 remainder 123e1 90 -> 60
remx946 remainder 123e1 9 -> 6
remx950 remainder 123e1 10000000000000000 -> 1230
remx951 remainder 123e1 100000000000000000 -> 1230
remx952 remainder 123e1 1000000000000000000 -> 1230
remx953 remainder 123e1 10000000000000000000 -> 1230
remx954 remainder 123e1 100000000000000000000 -> 1230
remx955 remainder 123e1 1000000000000000000000 -> 1230
remx956 remainder 123e1 10000000000000000000000 -> 1230
remx957 remainder 123e1 100000000000000000000000 -> 1230
remx958 remainder 123e1 1000000000000000000000000 -> 1230
remx959 remainder 123e1 10000000000000000000000000 -> 1230
remx960 remainder 123e1 19999999999999999 -> 1230
remx961 remainder 123e1 199999999999999990 -> 1230
remx962 remainder 123e1 1999999999999999999 -> 1230
remx963 remainder 123e1 19999999999999999990 -> 1230
remx964 remainder 123e1 199999999999999999999 -> 1230
remx965 remainder 123e1 1999999999999999999990 -> 1230
remx966 remainder 123e1 19999999999999999999999 -> 1230
remx967 remainder 123e1 199999999999999999999990 -> 1230
remx968 remainder 123e1 1999999999999999999999999 -> 1230
remx969 remainder 123e1 19999999999999999999999990 -> 1230
remx970 remainder 1e1 10000000000000000 -> 10
remx971 remainder 1e1 100000000000000000 -> 10
remx972 remainder 1e1 1000000000000000000 -> 10
remx973 remainder 1e1 10000000000000000000 -> 10
remx974 remainder 1e1 100000000000000000000 -> 10
remx975 remainder 1e1 1000000000000000000000 -> 10
remx976 remainder 1e1 10000000000000000000000 -> 10
remx977 remainder 1e1 100000000000000000000000 -> 10
remx978 remainder 1e1 1000000000000000000000000 -> 10
remx979 remainder 1e1 10000000000000000000000000 -> 10
remx980 remainder 123e1 1000E999999 -> 1.23E+3 -- 123E+1 internally
-- overflow and underflow tests [from divide]
precision: 9
maxexponent: 999999999
minexponent: -999999999
remx990 remainder +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded
remx991 remainder 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible
remx992 remainder +0.100 9E+999999999 -> 0.100
remx993 remainder 9E-999999999 +9.100 -> 9E-999999999
remx995 remainder -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded
remx996 remainder 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible
remx997 remainder -0.100 9E+999999999 -> -0.100
remx998 remainder 9E-999999999 -9.100 -> 9E-999999999
-- Null tests
remx1000 remainder 10 # -> NaN Invalid_operation
remx1001 remainder # 10 -> NaN Invalid_operation