------------------------------------------------------------------------ -- 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