------------------------------------------------------------------------
-- remainder0.decTest -- decimal remainder (simplified) --
-- 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: 2.58
extended: 0
precision: 9
rounding: half_up
maxExponent: 999
minexponent: -999
rem001 remainder 1 1 -> 0
rem002 remainder 2 1 -> 0
rem003 remainder 1 2 -> 1
rem004 remainder 2 2 -> 0
rem005 remainder 0 1 -> 0
rem006 remainder 0 2 -> 0
rem007 remainder 1 3 -> 1
rem008 remainder 2 3 -> 2
rem009 remainder 3 3 -> 0
rem010 remainder 2.4 1 -> 0.4
rem011 remainder 2.4 -1 -> 0.4
rem012 remainder -2.4 1 -> -0.4
rem013 remainder -2.4 -1 -> -0.4
rem014 remainder 2.40 1 -> 0.40
rem015 remainder 2.400 1 -> 0.400
rem016 remainder 2.4 2 -> 0.4
rem017 remainder 2.400 2 -> 0.400
rem018 remainder 2. 2 -> 0
rem019 remainder 20 20 -> 0
rem020 remainder 187 187 -> 0
rem021 remainder 5 2 -> 1
rem022 remainder 5 2.0 -> 1.0
rem023 remainder 5 2.000 -> 1.000
rem024 remainder 5 0.200 -> 0
rem025 remainder 5 0.200 -> 0
rem030 remainder 1 2 -> 1
rem031 remainder 1 4 -> 1
rem032 remainder 1 8 -> 1
rem033 remainder 1 16 -> 1
rem034 remainder 1 32 -> 1
rem035 remainder 1 64 -> 1
rem040 remainder 1 -2 -> 1
rem041 remainder 1 -4 -> 1
rem042 remainder 1 -8 -> 1
rem043 remainder 1 -16 -> 1
rem044 remainder 1 -32 -> 1
rem045 remainder 1 -64 -> 1
rem050 remainder -1 2 -> -1
rem051 remainder -1 4 -> -1
rem052 remainder -1 8 -> -1
rem053 remainder -1 16 -> -1
rem054 remainder -1 32 -> -1
rem055 remainder -1 64 -> -1
rem060 remainder -1 -2 -> -1
rem061 remainder -1 -4 -> -1
rem062 remainder -1 -8 -> -1
rem063 remainder -1 -16 -> -1
rem064 remainder -1 -32 -> -1
rem065 remainder -1 -64 -> -1
rem070 remainder 999999999 1 -> 0
rem071 remainder 999999999.4 1 -> 0 Inexact Lost_digits Rounded
rem072 remainder 999999999.5 1 -> ? Division_impossible Inexact Lost_digits Rounded
rem073 remainder 999999999.9 1 -> ? Division_impossible Inexact Lost_digits Rounded
rem074 remainder 999999999.999 1 -> ? Division_impossible Inexact Lost_digits Rounded
precision: 6
rem080 remainder 999999999 1 -> ? Division_impossible Inexact Lost_digits Rounded
rem081 remainder 99999999 1 -> ? Division_impossible Inexact Lost_digits Rounded
rem082 remainder 9999999 1 -> ? Division_impossible Inexact Lost_digits Rounded
rem083 remainder 999999 1 -> 0
rem084 remainder 99999 1 -> 0
rem085 remainder 9999 1 -> 0
rem086 remainder 999 1 -> 0
rem087 remainder 99 1 -> 0
rem088 remainder 9 1 -> 0
precision: 9
rem090 remainder 0. 1 -> 0
rem091 remainder .0 1 -> 0
rem092 remainder 0.00 1 -> 0
rem093 remainder 0.00E+9 1 -> 0
rem094 remainder 0.0000E-50 1 -> 0
rem100 remainder 1 1 -> 0
rem101 remainder 1 2 -> 1
rem102 remainder 1 3 -> 1
rem103 remainder 1 4 -> 1
rem104 remainder 1 5 -> 1
rem105 remainder 1 6 -> 1
rem106 remainder 1 7 -> 1
rem107 remainder 1 8 -> 1
rem108 remainder 1 9 -> 1
rem109 remainder 1 10 -> 1
rem110 remainder 1 1 -> 0
rem111 remainder 2 1 -> 0
rem112 remainder 3 1 -> 0
rem113 remainder 4 1 -> 0
rem114 remainder 5 1 -> 0
rem115 remainder 6 1 -> 0
rem116 remainder 7 1 -> 0
rem117 remainder 8 1 -> 0
rem118 remainder 9 1 -> 0
rem119 remainder 10 1 -> 0
-- Various flavours of remainder by 0
maxexponent: 999999999
minexponent: -999999999
rem201 remainder 0 0 -> ? Division_undefined
rem202 remainder 0.0E5 0 -> ? Division_undefined
rem203 remainder 0.000 0 -> ? Division_undefined
rem204 remainder 0.0001 0 -> ? Invalid_operation
rem205 remainder 0.01 0 -> ? Invalid_operation
rem206 remainder 0.1 0 -> ? Invalid_operation
rem207 remainder 1 0 -> ? Invalid_operation
rem208 remainder 1 0.0 -> ? Invalid_operation
rem209 remainder 10 0.0 -> ? Invalid_operation
rem210 remainder 1E+100 0.0 -> ? Invalid_operation
rem211 remainder 1E+1000 0 -> ? Invalid_operation
-- some differences from remainderNear
rem231 remainder 0.4 1.020 -> 0.400
rem232 remainder 0.50 1.020 -> 0.500
rem233 remainder 0.51 1.020 -> 0.510
rem234 remainder 0.52 1.020 -> 0.520
rem235 remainder 0.6 1.020 -> 0.600
-- test some cases that are close to exponent overflow
maxexponent: 999999999
minexponent: -999999999
rem270 remainder 1 1e999999999 -> 1
rem271 remainder 1 0.9e999999999 -> 1
rem272 remainder 1 0.99e999999999 -> 1
rem273 remainder 1 0.999999999e999999999 -> 1
rem274 remainder 9e999999999 1 -> ? Division_impossible
rem275 remainder 9.9e999999999 1 -> ? Division_impossible
rem276 remainder 9.99e999999999 1 -> ? Division_impossible
rem277 remainder 9.99999999e999999999 1 -> ? Division_impossible
rem280 remainder 0.1 9e-999999999 -> ? Division_impossible
rem281 remainder 0.1 99e-999999999 -> ? Division_impossible
rem282 remainder 0.1 999e-999999999 -> ? Division_impossible
rem283 remainder 0.1 9e-999999998 -> ? Division_impossible
rem284 remainder 0.1 99e-999999998 -> ? Division_impossible
rem285 remainder 0.1 999e-999999998 -> ? Division_impossible
rem286 remainder 0.1 999e-999999997 -> ? Division_impossible
rem287 remainder 0.1 9999e-999999997 -> ? Division_impossible
rem288 remainder 0.1 99999e-999999997 -> ? Division_impossible
-- rem3xx are from DiagBigDecimal
rem301 remainder 1 3 -> 1
rem302 remainder 5 5 -> 0
rem303 remainder 13 10 -> 3
rem304 remainder 13 50 -> 13
rem305 remainder 13 100 -> 13
rem306 remainder 13 1000 -> 13
rem307 remainder .13 1 -> 0.13
rem308 remainder 0.133 1 -> 0.133
rem309 remainder 0.1033 1 -> 0.1033
rem310 remainder 1.033 1 -> 0.033
rem311 remainder 10.33 1 -> 0.33
rem312 remainder 10.33 10 -> 0.33
rem313 remainder 103.3 1 -> 0.3
rem314 remainder 133 10 -> 3
rem315 remainder 1033 10 -> 3
rem316 remainder 1033 50 -> 33
rem317 remainder 101.0 3 -> 2.0
rem318 remainder 102.0 3 -> 0
rem319 remainder 103.0 3 -> 1.0
rem320 remainder 2.40 1 -> 0.40
rem321 remainder 2.400 1 -> 0.400
rem322 remainder 2.4 1 -> 0.4
rem323 remainder 2.4 2 -> 0.4
rem324 remainder 2.400 2 -> 0.400
rem325 remainder 1 0.3 -> 0.1
rem326 remainder 1 0.30 -> 0.10
rem327 remainder 1 0.300 -> 0.100
rem328 remainder 1 0.3000 -> 0.1000
rem329 remainder 1.0 0.3 -> 0.1
rem330 remainder 1.00 0.3 -> 0.10
rem331 remainder 1.000 0.3 -> 0.100
rem332 remainder 1.0000 0.3 -> 0.1000
rem333 remainder 0.5 2 -> 0.5
rem334 remainder 0.5 2.1 -> 0.5
rem335 remainder 0.5 2.01 -> 0.50
rem336 remainder 0.5 2.001 -> 0.500
rem337 remainder 0.50 2 -> 0.50
rem338 remainder 0.50 2.01 -> 0.50
rem339 remainder 0.50 2.001 -> 0.500
rem340 remainder 0.5 0.5000001 -> 0.5000000
rem341 remainder 0.5 0.50000001 -> 0.50000000
rem342 remainder 0.5 0.500000001 -> 0.500000000
rem343 remainder 0.5 0.5000000001 -> 0 Inexact Lost_digits Rounded
rem344 remainder 0.5 0.50000000001 -> 0 Inexact Lost_digits Rounded
rem345 remainder 0.5 0.4999999 -> 1E-7
rem346 remainder 0.5 0.49999999 -> 1E-8
rem347 remainder 0.5 0.499999999 -> 1E-9
rem348 remainder 0.5 0.4999999999 -> 0 Inexact Lost_digits Rounded
rem349 remainder 0.5 0.49999999999 -> 0 Inexact Lost_digits Rounded
rem350 remainder 0.03 7 -> 0.03
rem351 remainder 5 2 -> 1
rem352 remainder 4.1 2 -> 0.1
rem353 remainder 4.01 2 -> 0.01
rem354 remainder 4.001 2 -> 0.001
rem355 remainder 4.0001 2 -> 0.0001
rem356 remainder 4.00001 2 -> 0.00001
rem357 remainder 4.000001 2 -> 0.000001
rem358 remainder 4.0000001 2 -> 1E-7
rem360 remainder 1.2 0.7345 -> 0.4655
rem361 remainder 0.8 12 -> 0.8
rem362 remainder 0.8 0.2 -> 0
rem363 remainder 0.8 0.3 -> 0.2
rem364 remainder 0.800 12 -> 0.800
rem365 remainder 0.800 1.7 -> 0.800
rem366 remainder 2.400 2 -> 0.400
precision: 6
rem371 remainder 2.400 2 -> 0.400
precision: 3
-- lostDigits in the next one
rem372 remainder 12345678900000 12e+12 -> 3E+11 Inexact Lost_digits Rounded
precision: 5
rem381 remainder 12345 1 -> 0
rem382 remainder 12345 1.0001 -> 0.7657
rem383 remainder 12345 1.001 -> 0.668
rem384 remainder 12345 1.01 -> 0.78
rem385 remainder 12345 1.1 -> 0.8
rem386 remainder 12355 4 -> 3
rem387 remainder 12345 4 -> 1
rem388 remainder 12355 4.0001 -> 2.6912
rem389 remainder 12345 4.0001 -> 0.6914
rem390 remainder 12345 4.9 -> 1.9
rem391 remainder 12345 4.99 -> 4.73
rem392 remainder 12345 4.999 -> 2.469
rem393 remainder 12345 4.9999 -> 0.2469
rem394 remainder 12345 5 -> 0
rem395 remainder 12345 5.0001 -> 4.7532
rem396 remainder 12345 5.001 -> 2.532
rem397 remainder 12345 5.01 -> 0.36
rem398 remainder 12345 5.1 -> 3.0
precision: 9
-- some nasty division-by-1 cases [some similar above]
rem401 remainder 0.5 1 -> 0.5
rem402 remainder 0.55 1 -> 0.55
rem403 remainder 0.555 1 -> 0.555
rem404 remainder 0.5555 1 -> 0.5555
rem405 remainder 0.55555 1 -> 0.55555
rem406 remainder 0.555555 1 -> 0.555555
rem407 remainder 0.5555555 1 -> 0.5555555
rem408 remainder 0.55555555 1 -> 0.55555555
rem409 remainder 0.555555555 1 -> 0.555555555
-- overflow and underflow tests [from divide]
precision: 9
maxexponent: 999999999
minexponent: -999999999
rem430 remainder +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Lost_digits Rounded
rem431 remainder 9E+999999999 +0.23456789012345E-0 -> ? Division_impossible Inexact Lost_digits Rounded
rem432 remainder +0.100 9E+999999999 -> 0.100
rem433 remainder 9E-999999999 +9.100 -> 9E-999999999
rem435 remainder -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Lost_digits Rounded
rem436 remainder 9E+999999999 -0.83456789012345E-0 -> ? Division_impossible Inexact Lost_digits Rounded
rem437 remainder -0.100 9E+999999999 -> -0.100
rem438 remainder 9E-999999999 -9.100 -> 9E-999999999
-- lostDigits checks
maxexponent: 999
minexponent: -999
precision: 9
rem501 remainder 12345678000 100 -> 0 Rounded
rem502 remainder 1 12345678000 -> 1 Rounded
rem503 remainder 1234567800 10 -> 0 Rounded
rem504 remainder 1 1234567800 -> 1 Rounded
rem505 remainder 1234567890 10 -> 0 Rounded
rem506 remainder 1 1234567890 -> 1 Rounded
rem507 remainder 1234567891 10 -> 0 Inexact Lost_digits Rounded
rem508 remainder 1 1234567891 -> 1 Inexact Lost_digits Rounded
rem509 remainder 12345678901 100 -> 0 Inexact Lost_digits Rounded
rem510 remainder 1 12345678901 -> 1 Inexact Lost_digits Rounded
rem511 remainder 1234567896 10 -> 0 Inexact Lost_digits Rounded
rem512 remainder 1 1234567896 -> 1 Inexact Lost_digits Rounded
precision: 15
-- still checking for [no] lostDigits
rem541 remainder 12345678000 100 -> 0
rem542 remainder 1 12345678000 -> 1
rem543 remainder 1234567800 10 -> 0
rem544 remainder 1 1234567800 -> 1
rem545 remainder 1234567890 10 -> 0
rem546 remainder 1 1234567890 -> 1
rem547 remainder 1234567891 10 -> 1
rem548 remainder 1 1234567891 -> 1
rem549 remainder 12345678901 100 -> 1
rem550 remainder 1 12345678901 -> 1
rem551 remainder 1234567896 10 -> 6
rem552 remainder 1 1234567896 -> 1
-- Null tests
rem900 remainder 10 # -> ? Invalid_operation
rem901 remainder # 10 -> ? Invalid_operation