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Diffstat (limited to 'lib/python2.7/test/decimaltestdata/remainder.decTest')
-rw-r--r--lib/python2.7/test/decimaltestdata/remainder.decTest640
1 files changed, 640 insertions, 0 deletions
diff --git a/lib/python2.7/test/decimaltestdata/remainder.decTest b/lib/python2.7/test/decimaltestdata/remainder.decTest
new file mode 100644
index 0000000..7a1061b
--- /dev/null
+++ b/lib/python2.7/test/decimaltestdata/remainder.decTest
@@ -0,0 +1,640 @@
+------------------------------------------------------------------------
+-- remainder.decTest -- decimal 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
+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
+
+-- 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
+
+-- 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
+