------------------------------------------------------------------------
-- remainderNear0.decTest -- decimal remainder-near (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
remn001 remaindernear 1 1 -> 0
remn002 remaindernear 2 1 -> 0
remn003 remaindernear 1 2 -> 1
remn004 remaindernear 2 2 -> 0
remn005 remaindernear 0 1 -> 0
remn006 remaindernear 0 2 -> 0
remn007 remaindernear 1 3 -> 1
remn008 remaindernear 2 3 -> -1
remn009 remaindernear 3 3 -> 0
remn010 remaindernear 2.4 1 -> 0.4
remn011 remaindernear 2.4 -1 -> 0.4
remn012 remaindernear -2.4 1 -> -0.4
remn013 remaindernear -2.4 -1 -> -0.4
remn014 remaindernear 2.40 1 -> 0.40
remn015 remaindernear 2.400 1 -> 0.400
remn016 remaindernear 2.4 2 -> 0.4
remn017 remaindernear 2.400 2 -> 0.400
remn018 remaindernear 2. 2 -> 0
remn019 remaindernear 20 20 -> 0
remn020 remaindernear 187 187 -> 0
remn021 remaindernear 5 2 -> 1
remn022 remaindernear 5 2.0 -> 1.0
remn023 remaindernear 5 2.000 -> 1.000
remn024 remaindernear 5 0.200 -> 0
remn025 remaindernear 5 0.200 -> 0
remn030 remaindernear 1 2 -> 1
remn031 remaindernear 1 4 -> 1
remn032 remaindernear 1 8 -> 1
remn033 remaindernear 1 16 -> 1
remn034 remaindernear 1 32 -> 1
remn035 remaindernear 1 64 -> 1
remn040 remaindernear 1 -2 -> 1
remn041 remaindernear 1 -4 -> 1
remn042 remaindernear 1 -8 -> 1
remn043 remaindernear 1 -16 -> 1
remn044 remaindernear 1 -32 -> 1
remn045 remaindernear 1 -64 -> 1
remn050 remaindernear -1 2 -> -1
remn051 remaindernear -1 4 -> -1
remn052 remaindernear -1 8 -> -1
remn053 remaindernear -1 16 -> -1
remn054 remaindernear -1 32 -> -1
remn055 remaindernear -1 64 -> -1
remn060 remaindernear -1 -2 -> -1
remn061 remaindernear -1 -4 -> -1
remn062 remaindernear -1 -8 -> -1
remn063 remaindernear -1 -16 -> -1
remn064 remaindernear -1 -32 -> -1
remn065 remaindernear -1 -64 -> -1
remn070 remaindernear 999999999 1 -> 0
remn071 remaindernear 999999999.4 1 -> 0 Inexact Lost_digits Rounded
remn072 remaindernear 999999999.5 1 -> ? Division_impossible Inexact Lost_digits Rounded
remn073 remaindernear 999999999.9 1 -> ? Division_impossible Inexact Lost_digits Rounded
remn074 remaindernear 999999999.999 1 -> ? Division_impossible Inexact Lost_digits Rounded
precision: 6
remn080 remaindernear 999999999 1 -> ? Division_impossible Inexact Lost_digits Rounded
remn081 remaindernear 99999999 1 -> ? Division_impossible Inexact Lost_digits Rounded
remn082 remaindernear 9999999 1 -> ? Division_impossible Inexact Lost_digits Rounded
remn083 remaindernear 999999 1 -> 0
remn084 remaindernear 99999 1 -> 0
remn085 remaindernear 9999 1 -> 0
remn086 remaindernear 999 1 -> 0
remn087 remaindernear 99 1 -> 0
remn088 remaindernear 9 1 -> 0
precision: 9
remn090 remaindernear 0. 1 -> 0
remn091 remaindernear .0 1 -> 0
remn092 remaindernear 0.00 1 -> 0
remn093 remaindernear 0.00E+9 1 -> 0
remn094 remaindernear 0.0000E-50 1 -> 0
remn100 remaindernear 1 1 -> 0
remn101 remaindernear 1 2 -> 1
remn102 remaindernear 1 3 -> 1
remn103 remaindernear 1 4 -> 1
remn104 remaindernear 1 5 -> 1
remn105 remaindernear 1 6 -> 1
remn106 remaindernear 1 7 -> 1
remn107 remaindernear 1 8 -> 1
remn108 remaindernear 1 9 -> 1
remn109 remaindernear 1 10 -> 1
remn110 remaindernear 1 1 -> 0
remn111 remaindernear 2 1 -> 0
remn112 remaindernear 3 1 -> 0
remn113 remaindernear 4 1 -> 0
remn114 remaindernear 5 1 -> 0
remn115 remaindernear 6 1 -> 0
remn116 remaindernear 7 1 -> 0
remn117 remaindernear 8 1 -> 0
remn118 remaindernear 9 1 -> 0
remn119 remaindernear 10 1 -> 0
-- Various flavours of remaindernear by 0
maxexponent: 999999999
minexponent: -999999999
remn201 remaindernear 0 0 -> ? Division_undefined
remn202 remaindernear 0.0E5 0 -> ? Division_undefined
remn203 remaindernear 0.000 0 -> ? Division_undefined
remn204 remaindernear 0.0001 0 -> ? Invalid_operation
remn205 remaindernear 0.01 0 -> ? Invalid_operation
remn206 remaindernear 0.1 0 -> ? Invalid_operation
remn207 remaindernear 1 0 -> ? Invalid_operation
remn208 remaindernear 1 0.0 -> ? Invalid_operation
remn209 remaindernear 10 0.0 -> ? Invalid_operation
remn210 remaindernear 1E+100 0.0 -> ? Invalid_operation
remn211 remaindernear 1E+1000 0 -> ? Invalid_operation
-- tests from the extended specification
remn221 remaindernear 2.1 3 -> -0.9
remn222 remaindernear 10 6 -> -2
remn223 remaindernear 10 3 -> 1
remn224 remaindernear -10 3 -> -1
remn225 remaindernear 10.2 1 -> 0.2
remn226 remaindernear 10 0.3 -> 0.1
remn227 remaindernear 3.6 1.3 -> -0.3
-- some differences from remainder
remn231 remaindernear 0.4 1.020 -> 0.400
remn232 remaindernear 0.50 1.020 -> 0.500
remn233 remaindernear 0.51 1.020 -> 0.510
remn234 remaindernear 0.52 1.020 -> -0.500
remn235 remaindernear 0.6 1.020 -> -0.420
-- test some cases that are close to exponent overflow
maxexponent: 999999999
minexponent: -999999999
remn270 remaindernear 1 1e999999999 -> 1
remn271 remaindernear 1 0.9e999999999 -> 1
remn272 remaindernear 1 0.99e999999999 -> 1
remn273 remaindernear 1 0.999999999e999999999 -> 1
remn274 remaindernear 9e999999999 1 -> ? Division_impossible
remn275 remaindernear 9.9e999999999 1 -> ? Division_impossible
remn276 remaindernear 9.99e999999999 1 -> ? Division_impossible
remn277 remaindernear 9.99999999e999999999 1 -> ? Division_impossible
remn280 remaindernear 0.1 9e-999999999 -> ? Division_impossible
remn281 remaindernear 0.1 99e-999999999 -> ? Division_impossible
remn282 remaindernear 0.1 999e-999999999 -> ? Division_impossible
remn283 remaindernear 0.1 9e-999999998 -> ? Division_impossible
remn284 remaindernear 0.1 99e-999999998 -> ? Division_impossible
remn285 remaindernear 0.1 999e-999999998 -> ? Division_impossible
remn286 remaindernear 0.1 999e-999999997 -> ? Division_impossible
remn287 remaindernear 0.1 9999e-999999997 -> ? Division_impossible
remn288 remaindernear 0.1 99999e-999999997 -> ? Division_impossible
-- remn3xx are from DiagBigDecimal
remn301 remaindernear 1 3 -> 1
remn302 remaindernear 5 5 -> 0
remn303 remaindernear 13 10 -> 3
remn304 remaindernear 13 50 -> 13
remn305 remaindernear 13 100 -> 13
remn306 remaindernear 13 1000 -> 13
remn307 remaindernear .13 1 -> 0.13
remn308 remaindernear 0.133 1 -> 0.133
remn309 remaindernear 0.1033 1 -> 0.1033
remn310 remaindernear 1.033 1 -> 0.033
remn311 remaindernear 10.33 1 -> 0.33
remn312 remaindernear 10.33 10 -> 0.33
remn313 remaindernear 103.3 1 -> 0.3
remn314 remaindernear 133 10 -> 3
remn315 remaindernear 1033 10 -> 3
remn316 remaindernear 1033 50 -> -17
remn317 remaindernear 101.0 3 -> -1.0
remn318 remaindernear 102.0 3 -> 0
remn319 remaindernear 103.0 3 -> 1.0
remn320 remaindernear 2.40 1 -> 0.40
remn321 remaindernear 2.400 1 -> 0.400
remn322 remaindernear 2.4 1 -> 0.4
remn323 remaindernear 2.4 2 -> 0.4
remn324 remaindernear 2.400 2 -> 0.400
remn325 remaindernear 1 0.3 -> 0.1
remn326 remaindernear 1 0.30 -> 0.10
remn327 remaindernear 1 0.300 -> 0.100
remn328 remaindernear 1 0.3000 -> 0.1000
remn329 remaindernear 1.0 0.3 -> 0.1
remn330 remaindernear 1.00 0.3 -> 0.10
remn331 remaindernear 1.000 0.3 -> 0.100
remn332 remaindernear 1.0000 0.3 -> 0.1000
remn333 remaindernear 0.5 2 -> 0.5
remn334 remaindernear 0.5 2.1 -> 0.5
remn335 remaindernear 0.5 2.01 -> 0.50
remn336 remaindernear 0.5 2.001 -> 0.500
remn337 remaindernear 0.50 2 -> 0.50
remn338 remaindernear 0.50 2.01 -> 0.50
remn339 remaindernear 0.50 2.001 -> 0.500
remn340 remaindernear 0.5 0.5000001 -> -1E-7
remn341 remaindernear 0.5 0.50000001 -> -1E-8
remn342 remaindernear 0.5 0.500000001 -> -1E-9
remn343 remaindernear 0.5 0.5000000001 -> 0 Inexact Lost_digits Rounded
remn344 remaindernear 0.5 0.50000000001 -> 0 Inexact Lost_digits Rounded
remn345 remaindernear 0.5 0.4999999 -> 1E-7
remn346 remaindernear 0.5 0.49999999 -> 1E-8
remn347 remaindernear 0.5 0.499999999 -> 1E-9
remn348 remaindernear 0.5 0.4999999999 -> 0 Inexact Lost_digits Rounded
remn349 remaindernear 0.5 0.49999999999 -> 0 Inexact Lost_digits Rounded
remn350 remaindernear 0.03 7 -> 0.03
remn351 remaindernear 5 2 -> 1
remn352 remaindernear 4.1 2 -> 0.1
remn353 remaindernear 4.01 2 -> 0.01
remn354 remaindernear 4.001 2 -> 0.001
remn355 remaindernear 4.0001 2 -> 0.0001
remn356 remaindernear 4.00001 2 -> 0.00001
remn357 remaindernear 4.000001 2 -> 0.000001
remn358 remaindernear 4.0000001 2 -> 1E-7
remn360 remaindernear 1.2 0.7345 -> -0.2690
remn361 remaindernear 0.8 12 -> 0.8
remn362 remaindernear 0.8 0.2 -> 0
remn363 remaindernear 0.8 0.3 -> -0.1
remn364 remaindernear 0.800 12 -> 0.800
remn365 remaindernear 0.800 1.7 -> 0.800
remn366 remaindernear 2.400 2 -> 0.400
precision: 6
remn371 remaindernear 2.400 2 -> 0.400
precision: 3
-- lostDigits in the next one
remn372 remaindernear 12345678900000 12e+12 -> 3E+11 Inexact Lost_digits Rounded
precision: 5
remn381 remaindernear 12345 1 -> 0
remn382 remaindernear 12345 1.0001 -> -0.2344
remn383 remaindernear 12345 1.001 -> -0.333
remn384 remaindernear 12345 1.01 -> -0.23
remn385 remaindernear 12345 1.1 -> -0.3
remn386 remaindernear 12355 4 -> -1
remn387 remaindernear 12345 4 -> 1
remn388 remaindernear 12355 4.0001 -> -1.3089
remn389 remaindernear 12345 4.0001 -> 0.6914
remn390 remaindernear 12345 4.9 -> 1.9
remn391 remaindernear 12345 4.99 -> -0.26
remn392 remaindernear 12345 4.999 -> 2.469
remn393 remaindernear 12345 4.9999 -> 0.2469
remn394 remaindernear 12345 5 -> 0
remn395 remaindernear 12345 5.0001 -> -0.2469
remn396 remaindernear 12345 5.001 -> -2.469
remn397 remaindernear 12345 5.01 -> 0.36
remn398 remaindernear 12345 5.1 -> -2.1
precision: 9
-- some nasty division-by-1 cases [some similar above]
remn401 remaindernear 0.4 1 -> 0.4
remn402 remaindernear 0.45 1 -> 0.45
remn403 remaindernear 0.455 1 -> 0.455
remn404 remaindernear 0.4555 1 -> 0.4555
remn405 remaindernear 0.45555 1 -> 0.45555
remn406 remaindernear 0.455555 1 -> 0.455555
remn407 remaindernear 0.4555555 1 -> 0.4555555
remn408 remaindernear 0.45555555 1 -> 0.45555555
remn409 remaindernear 0.455555555 1 -> 0.455555555
-- overflow and underflow tests [from divide]
precision: 9
maxexponent: 999999999
minexponent: -999999999
remn430 remaindernear +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Lost_digits Rounded
remn431 remaindernear 9E+999999999 +0.23456789012345E-0 -> ? Division_impossible Inexact Lost_digits Rounded
remn432 remaindernear +0.100 9E+999999999 -> 0.100
remn433 remaindernear 9E-999999999 +9.100 -> 9E-999999999
remn435 remaindernear -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Lost_digits Rounded
remn436 remaindernear 9E+999999999 -0.83456789012345E-0 -> ? Division_impossible Inexact Lost_digits Rounded
remn437 remaindernear -0.100 9E+999999999 -> -0.100
remn438 remaindernear 9E-999999999 -9.100 -> 9E-999999999
-- lostDigits checks
maxexponent: 999
minexponent: -999
precision: 9
remn501 remaindernear 12345678000 100 -> 0 Rounded
remn502 remaindernear 1 12345678000 -> 1 Rounded
remn503 remaindernear 1234567800 10 -> 0 Rounded
remn504 remaindernear 1 1234567800 -> 1 Rounded
remn505 remaindernear 1234567890 10 -> 0 Rounded
remn506 remaindernear 1 1234567890 -> 1 Rounded
remn507 remaindernear 1234567891 10 -> 0 Inexact Lost_digits Rounded
remn508 remaindernear 1 1234567891 -> 1 Inexact Lost_digits Rounded
remn509 remaindernear 12345678901 100 -> 0 Inexact Lost_digits Rounded
remn510 remaindernear 1 12345678901 -> 1 Inexact Lost_digits Rounded
remn511 remaindernear 1234567896 10 -> 0 Inexact Lost_digits Rounded
remn512 remaindernear 1 1234567896 -> 1 Inexact Lost_digits Rounded
precision: 15
-- still checking for [no] lostDigits
remn541 remaindernear 12345678000 100 -> 0
remn542 remaindernear 1 12345678000 -> 1
remn543 remaindernear 1234567800 10 -> 0
remn544 remaindernear 1 1234567800 -> 1
remn545 remaindernear 1234567890 10 -> 0
remn546 remaindernear 1 1234567890 -> 1
remn547 remaindernear 1234567891 10 -> 1
remn548 remaindernear 1 1234567891 -> 1
remn549 remaindernear 12345678901 100 -> 1
remn550 remaindernear 1 12345678901 -> 1
remn551 remaindernear 1234567896 10 -> -4
remn552 remaindernear 1 1234567896 -> 1
-- early tests
remn601 remaindernear 10 6 -> -2
remn602 remaindernear -10 6 -> 2
remn603 remaindernear 11 3 -> -1
remn604 remaindernear 11 5 -> 1
remn605 remaindernear 7.7 8 -> -0.3
remn606 remaindernear 31.5 3 -> 1.5 -- i=10
remn607 remaindernear 34.5 3 -> -1.5 -- i=11
-- Null tests
remn900 remaindernear 10 # -> ? Invalid_operation
remn901 remaindernear # 10 -> ? Invalid_operation