------------------------------------------------------------------------ | |
-- dqRemainderNear.decTest -- decQuad remainder-near -- | |
-- 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 | |
clamp: 1 | |
precision: 34 | |
maxExponent: 6144 | |
minExponent: -6143 | |
rounding: half_even | |
-- sanity checks (as base, above) | |
dqrmn001 remaindernear 1 1 -> 0 | |
dqrmn002 remaindernear 2 1 -> 0 | |
dqrmn003 remaindernear 1 2 -> 1 | |
dqrmn004 remaindernear 2 2 -> 0 | |
dqrmn005 remaindernear 0 1 -> 0 | |
dqrmn006 remaindernear 0 2 -> 0 | |
dqrmn007 remaindernear 1 3 -> 1 | |
dqrmn008 remaindernear 2 3 -> -1 | |
dqrmn009 remaindernear 3 3 -> 0 | |
dqrmn010 remaindernear 2.4 1 -> 0.4 | |
dqrmn011 remaindernear 2.4 -1 -> 0.4 | |
dqrmn012 remaindernear -2.4 1 -> -0.4 | |
dqrmn013 remaindernear -2.4 -1 -> -0.4 | |
dqrmn014 remaindernear 2.40 1 -> 0.40 | |
dqrmn015 remaindernear 2.400 1 -> 0.400 | |
dqrmn016 remaindernear 2.4 2 -> 0.4 | |
dqrmn017 remaindernear 2.400 2 -> 0.400 | |
dqrmn018 remaindernear 2. 2 -> 0 | |
dqrmn019 remaindernear 20 20 -> 0 | |
dqrmn020 remaindernear 187 187 -> 0 | |
dqrmn021 remaindernear 5 2 -> 1 | |
dqrmn022 remaindernear 5 2.0 -> 1.0 | |
dqrmn023 remaindernear 5 2.000 -> 1.000 | |
dqrmn024 remaindernear 5 0.200 -> 0.000 | |
dqrmn025 remaindernear 5 0.200 -> 0.000 | |
dqrmn030 remaindernear 1 2 -> 1 | |
dqrmn031 remaindernear 1 4 -> 1 | |
dqrmn032 remaindernear 1 8 -> 1 | |
dqrmn033 remaindernear 1 16 -> 1 | |
dqrmn034 remaindernear 1 32 -> 1 | |
dqrmn035 remaindernear 1 64 -> 1 | |
dqrmn040 remaindernear 1 -2 -> 1 | |
dqrmn041 remaindernear 1 -4 -> 1 | |
dqrmn042 remaindernear 1 -8 -> 1 | |
dqrmn043 remaindernear 1 -16 -> 1 | |
dqrmn044 remaindernear 1 -32 -> 1 | |
dqrmn045 remaindernear 1 -64 -> 1 | |
dqrmn050 remaindernear -1 2 -> -1 | |
dqrmn051 remaindernear -1 4 -> -1 | |
dqrmn052 remaindernear -1 8 -> -1 | |
dqrmn053 remaindernear -1 16 -> -1 | |
dqrmn054 remaindernear -1 32 -> -1 | |
dqrmn055 remaindernear -1 64 -> -1 | |
dqrmn060 remaindernear -1 -2 -> -1 | |
dqrmn061 remaindernear -1 -4 -> -1 | |
dqrmn062 remaindernear -1 -8 -> -1 | |
dqrmn063 remaindernear -1 -16 -> -1 | |
dqrmn064 remaindernear -1 -32 -> -1 | |
dqrmn065 remaindernear -1 -64 -> -1 | |
dqrmn066 remaindernear 9.9 1 -> -0.1 | |
dqrmn067 remaindernear 99.7 1 -> -0.3 | |
dqrmn068 remaindernear 999999999 1 -> 0 | |
dqrmn069 remaindernear 999999999.4 1 -> 0.4 | |
dqrmn070 remaindernear 999999999.5 1 -> -0.5 | |
dqrmn071 remaindernear 999999999.9 1 -> -0.1 | |
dqrmn072 remaindernear 999999999.999 1 -> -0.001 | |
dqrmn073 remaindernear 999999.999999 1 -> -0.000001 | |
dqrmn074 remaindernear 9 1 -> 0 | |
dqrmn075 remaindernear 9999999999999999 1 -> 0 | |
dqrmn076 remaindernear 9999999999999999 2 -> -1 | |
dqrmn077 remaindernear 9999999999999999 3 -> 0 | |
dqrmn078 remaindernear 9999999999999999 4 -> -1 | |
dqrmn080 remaindernear 0. 1 -> 0 | |
dqrmn081 remaindernear .0 1 -> 0.0 | |
dqrmn082 remaindernear 0.00 1 -> 0.00 | |
dqrmn083 remaindernear 0.00E+9 1 -> 0 | |
dqrmn084 remaindernear 0.00E+3 1 -> 0 | |
dqrmn085 remaindernear 0.00E+2 1 -> 0 | |
dqrmn086 remaindernear 0.00E+1 1 -> 0.0 | |
dqrmn087 remaindernear 0.00E+0 1 -> 0.00 | |
dqrmn088 remaindernear 0.00E-0 1 -> 0.00 | |
dqrmn089 remaindernear 0.00E-1 1 -> 0.000 | |
dqrmn090 remaindernear 0.00E-2 1 -> 0.0000 | |
dqrmn091 remaindernear 0.00E-3 1 -> 0.00000 | |
dqrmn092 remaindernear 0.00E-4 1 -> 0.000000 | |
dqrmn093 remaindernear 0.00E-5 1 -> 0E-7 | |
dqrmn094 remaindernear 0.00E-6 1 -> 0E-8 | |
dqrmn095 remaindernear 0.0000E-50 1 -> 0E-54 | |
-- Various flavours of remaindernear by 0 | |
dqrmn101 remaindernear 0 0 -> NaN Division_undefined | |
dqrmn102 remaindernear 0 -0 -> NaN Division_undefined | |
dqrmn103 remaindernear -0 0 -> NaN Division_undefined | |
dqrmn104 remaindernear -0 -0 -> NaN Division_undefined | |
dqrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined | |
dqrmn106 remaindernear 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] | |
dqrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation | |
dqrmn108 remaindernear 0.01 0 -> NaN Invalid_operation | |
dqrmn109 remaindernear 0.1 0 -> NaN Invalid_operation | |
dqrmn110 remaindernear 1 0 -> NaN Invalid_operation | |
dqrmn111 remaindernear 1 0.0 -> NaN Invalid_operation | |
dqrmn112 remaindernear 10 0.0 -> NaN Invalid_operation | |
dqrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation | |
dqrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation | |
dqrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation | |
dqrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation | |
dqrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation | |
dqrmn120 remaindernear 1 -0 -> NaN Invalid_operation | |
dqrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation | |
dqrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation | |
dqrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation | |
dqrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation | |
-- and zeros on left | |
dqrmn130 remaindernear 0 1 -> 0 | |
dqrmn131 remaindernear 0 -1 -> 0 | |
dqrmn132 remaindernear 0.0 1 -> 0.0 | |
dqrmn133 remaindernear 0.0 -1 -> 0.0 | |
dqrmn134 remaindernear -0 1 -> -0 | |
dqrmn135 remaindernear -0 -1 -> -0 | |
dqrmn136 remaindernear -0.0 1 -> -0.0 | |
dqrmn137 remaindernear -0.0 -1 -> -0.0 | |
-- 0.5ers | |
dqrmn143 remaindernear 0.5 2 -> 0.5 | |
dqrmn144 remaindernear 0.5 2.1 -> 0.5 | |
dqrmn145 remaindernear 0.5 2.01 -> 0.50 | |
dqrmn146 remaindernear 0.5 2.001 -> 0.500 | |
dqrmn147 remaindernear 0.50 2 -> 0.50 | |
dqrmn148 remaindernear 0.50 2.01 -> 0.50 | |
dqrmn149 remaindernear 0.50 2.001 -> 0.500 | |
-- steadies | |
dqrmn150 remaindernear 1 1 -> 0 | |
dqrmn151 remaindernear 1 2 -> 1 | |
dqrmn152 remaindernear 1 3 -> 1 | |
dqrmn153 remaindernear 1 4 -> 1 | |
dqrmn154 remaindernear 1 5 -> 1 | |
dqrmn155 remaindernear 1 6 -> 1 | |
dqrmn156 remaindernear 1 7 -> 1 | |
dqrmn157 remaindernear 1 8 -> 1 | |
dqrmn158 remaindernear 1 9 -> 1 | |
dqrmn159 remaindernear 1 10 -> 1 | |
dqrmn160 remaindernear 1 1 -> 0 | |
dqrmn161 remaindernear 2 1 -> 0 | |
dqrmn162 remaindernear 3 1 -> 0 | |
dqrmn163 remaindernear 4 1 -> 0 | |
dqrmn164 remaindernear 5 1 -> 0 | |
dqrmn165 remaindernear 6 1 -> 0 | |
dqrmn166 remaindernear 7 1 -> 0 | |
dqrmn167 remaindernear 8 1 -> 0 | |
dqrmn168 remaindernear 9 1 -> 0 | |
dqrmn169 remaindernear 10 1 -> 0 | |
-- some differences from remainder | |
dqrmn171 remaindernear 0.4 1.020 -> 0.400 | |
dqrmn172 remaindernear 0.50 1.020 -> 0.500 | |
dqrmn173 remaindernear 0.51 1.020 -> 0.510 | |
dqrmn174 remaindernear 0.52 1.020 -> -0.500 | |
dqrmn175 remaindernear 0.6 1.020 -> -0.420 | |
-- More flavours of remaindernear by 0 | |
dqrmn201 remaindernear 0 0 -> NaN Division_undefined | |
dqrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined | |
dqrmn203 remaindernear 0.000 0 -> NaN Division_undefined | |
dqrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation | |
dqrmn205 remaindernear 0.01 0 -> NaN Invalid_operation | |
dqrmn206 remaindernear 0.1 0 -> NaN Invalid_operation | |
dqrmn207 remaindernear 1 0 -> NaN Invalid_operation | |
dqrmn208 remaindernear 1 0.0 -> NaN Invalid_operation | |
dqrmn209 remaindernear 10 0.0 -> NaN Invalid_operation | |
dqrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation | |
dqrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation | |
-- tests from the extended specification | |
dqrmn221 remaindernear 2.1 3 -> -0.9 | |
dqrmn222 remaindernear 10 6 -> -2 | |
dqrmn223 remaindernear 10 3 -> 1 | |
dqrmn224 remaindernear -10 3 -> -1 | |
dqrmn225 remaindernear 10.2 1 -> 0.2 | |
dqrmn226 remaindernear 10 0.3 -> 0.1 | |
dqrmn227 remaindernear 3.6 1.3 -> -0.3 | |
-- some differences from remainder | |
dqrmn231 remaindernear -0.4 1.020 -> -0.400 | |
dqrmn232 remaindernear -0.50 1.020 -> -0.500 | |
dqrmn233 remaindernear -0.51 1.020 -> -0.510 | |
dqrmn234 remaindernear -0.52 1.020 -> 0.500 | |
dqrmn235 remaindernear -0.6 1.020 -> 0.420 | |
-- high Xs | |
dqrmn240 remaindernear 1E+2 1.00 -> 0.00 | |
-- dqrmn3xx are from DiagBigDecimal | |
dqrmn301 remaindernear 1 3 -> 1 | |
dqrmn302 remaindernear 5 5 -> 0 | |
dqrmn303 remaindernear 13 10 -> 3 | |
dqrmn304 remaindernear 13 50 -> 13 | |
dqrmn305 remaindernear 13 100 -> 13 | |
dqrmn306 remaindernear 13 1000 -> 13 | |
dqrmn307 remaindernear .13 1 -> 0.13 | |
dqrmn308 remaindernear 0.133 1 -> 0.133 | |
dqrmn309 remaindernear 0.1033 1 -> 0.1033 | |
dqrmn310 remaindernear 1.033 1 -> 0.033 | |
dqrmn311 remaindernear 10.33 1 -> 0.33 | |
dqrmn312 remaindernear 10.33 10 -> 0.33 | |
dqrmn313 remaindernear 103.3 1 -> 0.3 | |
dqrmn314 remaindernear 133 10 -> 3 | |
dqrmn315 remaindernear 1033 10 -> 3 | |
dqrmn316 remaindernear 1033 50 -> -17 | |
dqrmn317 remaindernear 101.0 3 -> -1.0 | |
dqrmn318 remaindernear 102.0 3 -> 0.0 | |
dqrmn319 remaindernear 103.0 3 -> 1.0 | |
dqrmn320 remaindernear 2.40 1 -> 0.40 | |
dqrmn321 remaindernear 2.400 1 -> 0.400 | |
dqrmn322 remaindernear 2.4 1 -> 0.4 | |
dqrmn323 remaindernear 2.4 2 -> 0.4 | |
dqrmn324 remaindernear 2.400 2 -> 0.400 | |
dqrmn325 remaindernear 1 0.3 -> 0.1 | |
dqrmn326 remaindernear 1 0.30 -> 0.10 | |
dqrmn327 remaindernear 1 0.300 -> 0.100 | |
dqrmn328 remaindernear 1 0.3000 -> 0.1000 | |
dqrmn329 remaindernear 1.0 0.3 -> 0.1 | |
dqrmn330 remaindernear 1.00 0.3 -> 0.10 | |
dqrmn331 remaindernear 1.000 0.3 -> 0.100 | |
dqrmn332 remaindernear 1.0000 0.3 -> 0.1000 | |
dqrmn333 remaindernear 0.5 2 -> 0.5 | |
dqrmn334 remaindernear 0.5 2.1 -> 0.5 | |
dqrmn335 remaindernear 0.5 2.01 -> 0.50 | |
dqrmn336 remaindernear 0.5 2.001 -> 0.500 | |
dqrmn337 remaindernear 0.50 2 -> 0.50 | |
dqrmn338 remaindernear 0.50 2.01 -> 0.50 | |
dqrmn339 remaindernear 0.50 2.001 -> 0.500 | |
dqrmn340 remaindernear 0.5 0.5000001 -> -1E-7 | |
dqrmn341 remaindernear 0.5 0.50000001 -> -1E-8 | |
dqrmn342 remaindernear 0.5 0.500000001 -> -1E-9 | |
dqrmn343 remaindernear 0.5 0.5000000001 -> -1E-10 | |
dqrmn344 remaindernear 0.5 0.50000000001 -> -1E-11 | |
dqrmn345 remaindernear 0.5 0.4999999 -> 1E-7 | |
dqrmn346 remaindernear 0.5 0.49999999 -> 1E-8 | |
dqrmn347 remaindernear 0.5 0.499999999 -> 1E-9 | |
dqrmn348 remaindernear 0.5 0.4999999999 -> 1E-10 | |
dqrmn349 remaindernear 0.5 0.49999999999 -> 1E-11 | |
dqrmn350 remaindernear 0.5 0.499999999999 -> 1E-12 | |
dqrmn351 remaindernear 0.03 7 -> 0.03 | |
dqrmn352 remaindernear 5 2 -> 1 | |
dqrmn353 remaindernear 4.1 2 -> 0.1 | |
dqrmn354 remaindernear 4.01 2 -> 0.01 | |
dqrmn355 remaindernear 4.001 2 -> 0.001 | |
dqrmn356 remaindernear 4.0001 2 -> 0.0001 | |
dqrmn357 remaindernear 4.00001 2 -> 0.00001 | |
dqrmn358 remaindernear 4.000001 2 -> 0.000001 | |
dqrmn359 remaindernear 4.0000001 2 -> 1E-7 | |
dqrmn360 remaindernear 1.2 0.7345 -> -0.2690 | |
dqrmn361 remaindernear 0.8 12 -> 0.8 | |
dqrmn362 remaindernear 0.8 0.2 -> 0.0 | |
dqrmn363 remaindernear 0.8 0.3 -> -0.1 | |
dqrmn364 remaindernear 0.800 12 -> 0.800 | |
dqrmn365 remaindernear 0.800 1.7 -> 0.800 | |
dqrmn366 remaindernear 2.400 2 -> 0.400 | |
-- round to even | |
dqrmn371 remaindernear 121 2 -> 1 | |
dqrmn372 remaindernear 122 2 -> 0 | |
dqrmn373 remaindernear 123 2 -> -1 | |
dqrmn374 remaindernear 124 2 -> 0 | |
dqrmn375 remaindernear 125 2 -> 1 | |
dqrmn376 remaindernear 126 2 -> 0 | |
dqrmn377 remaindernear 127 2 -> -1 | |
dqrmn381 remaindernear 12345 1 -> 0 | |
dqrmn382 remaindernear 12345 1.0001 -> -0.2344 | |
dqrmn383 remaindernear 12345 1.001 -> -0.333 | |
dqrmn384 remaindernear 12345 1.01 -> -0.23 | |
dqrmn385 remaindernear 12345 1.1 -> -0.3 | |
dqrmn386 remaindernear 12355 4 -> -1 | |
dqrmn387 remaindernear 12345 4 -> 1 | |
dqrmn388 remaindernear 12355 4.0001 -> -1.3089 | |
dqrmn389 remaindernear 12345 4.0001 -> 0.6914 | |
dqrmn390 remaindernear 12345 4.9 -> 1.9 | |
dqrmn391 remaindernear 12345 4.99 -> -0.26 | |
dqrmn392 remaindernear 12345 4.999 -> 2.469 | |
dqrmn393 remaindernear 12345 4.9999 -> 0.2469 | |
dqrmn394 remaindernear 12345 5 -> 0 | |
dqrmn395 remaindernear 12345 5.0001 -> -0.2469 | |
dqrmn396 remaindernear 12345 5.001 -> -2.469 | |
dqrmn397 remaindernear 12345 5.01 -> 0.36 | |
dqrmn398 remaindernear 12345 5.1 -> -2.1 | |
-- the nasty division-by-1 cases | |
dqrmn401 remaindernear 0.4 1 -> 0.4 | |
dqrmn402 remaindernear 0.45 1 -> 0.45 | |
dqrmn403 remaindernear 0.455 1 -> 0.455 | |
dqrmn404 remaindernear 0.4555 1 -> 0.4555 | |
dqrmn405 remaindernear 0.45555 1 -> 0.45555 | |
dqrmn406 remaindernear 0.455555 1 -> 0.455555 | |
dqrmn407 remaindernear 0.4555555 1 -> 0.4555555 | |
dqrmn408 remaindernear 0.45555555 1 -> 0.45555555 | |
dqrmn409 remaindernear 0.455555555 1 -> 0.455555555 | |
-- with spill... [412 exercises sticktab loop] | |
dqrmn411 remaindernear 0.5 1 -> 0.5 | |
dqrmn412 remaindernear 0.55 1 -> -0.45 | |
dqrmn413 remaindernear 0.555 1 -> -0.445 | |
dqrmn414 remaindernear 0.5555 1 -> -0.4445 | |
dqrmn415 remaindernear 0.55555 1 -> -0.44445 | |
dqrmn416 remaindernear 0.555555 1 -> -0.444445 | |
dqrmn417 remaindernear 0.5555555 1 -> -0.4444445 | |
dqrmn418 remaindernear 0.55555555 1 -> -0.44444445 | |
dqrmn419 remaindernear 0.555555555 1 -> -0.444444445 | |
-- folddowns | |
dqrmn421 remaindernear 1E+6144 1 -> NaN Division_impossible | |
dqrmn422 remaindernear 1E+6144 1E+6143 -> 0E+6111 Clamped | |
dqrmn423 remaindernear 1E+6144 2E+6143 -> 0E+6111 Clamped | |
dqrmn424 remaindernear 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped | |
dqrmn425 remaindernear 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped | |
dqrmn426 remaindernear 1E+6144 5E+6143 -> 0E+6111 Clamped | |
dqrmn427 remaindernear 1E+6144 6E+6143 -> -2.00000000000000000000000000000000E+6143 Clamped | |
dqrmn428 remaindernear 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped | |
dqrmn429 remaindernear 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped | |
dqrmn430 remaindernear 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped | |
-- tinies | |
dqrmn431 remaindernear 1E-6175 1E-6176 -> 0E-6176 | |
dqrmn432 remaindernear 1E-6175 2E-6176 -> 0E-6176 | |
dqrmn433 remaindernear 1E-6175 3E-6176 -> 1E-6176 Subnormal | |
dqrmn434 remaindernear 1E-6175 4E-6176 -> 2E-6176 Subnormal | |
dqrmn435 remaindernear 1E-6175 5E-6176 -> 0E-6176 | |
dqrmn436 remaindernear 1E-6175 6E-6176 -> -2E-6176 Subnormal | |
dqrmn437 remaindernear 1E-6175 7E-6176 -> 3E-6176 Subnormal | |
dqrmn438 remaindernear 1E-6175 8E-6176 -> 2E-6176 Subnormal | |
dqrmn439 remaindernear 1E-6175 9E-6176 -> 1E-6176 Subnormal | |
dqrmn440 remaindernear 1E-6175 10E-6176 -> 0E-6176 | |
dqrmn441 remaindernear 1E-6175 11E-6176 -> -1E-6176 Subnormal | |
dqrmn442 remaindernear 100E-6175 11E-6176 -> -1E-6176 Subnormal | |
dqrmn443 remaindernear 100E-6175 20E-6176 -> 0E-6176 | |
dqrmn444 remaindernear 100E-6175 21E-6176 -> -8E-6176 Subnormal | |
dqrmn445 remaindernear 100E-6175 30E-6176 -> 1.0E-6175 Subnormal | |
-- zero signs | |
dqrmn650 remaindernear 1 1 -> 0 | |
dqrmn651 remaindernear -1 1 -> -0 | |
dqrmn652 remaindernear 1 -1 -> 0 | |
dqrmn653 remaindernear -1 -1 -> -0 | |
dqrmn654 remaindernear 0 1 -> 0 | |
dqrmn655 remaindernear -0 1 -> -0 | |
dqrmn656 remaindernear 0 -1 -> 0 | |
dqrmn657 remaindernear -0 -1 -> -0 | |
dqrmn658 remaindernear 0.00 1 -> 0.00 | |
dqrmn659 remaindernear -0.00 1 -> -0.00 | |
-- Specials | |
dqrmn680 remaindernear Inf -Inf -> NaN Invalid_operation | |
dqrmn681 remaindernear Inf -1000 -> NaN Invalid_operation | |
dqrmn682 remaindernear Inf -1 -> NaN Invalid_operation | |
dqrmn683 remaindernear Inf 0 -> NaN Invalid_operation | |
dqrmn684 remaindernear Inf -0 -> NaN Invalid_operation | |
dqrmn685 remaindernear Inf 1 -> NaN Invalid_operation | |
dqrmn686 remaindernear Inf 1000 -> NaN Invalid_operation | |
dqrmn687 remaindernear Inf Inf -> NaN Invalid_operation | |
dqrmn688 remaindernear -1000 Inf -> -1000 | |
dqrmn689 remaindernear -Inf Inf -> NaN Invalid_operation | |
dqrmn691 remaindernear -1 Inf -> -1 | |
dqrmn692 remaindernear 0 Inf -> 0 | |
dqrmn693 remaindernear -0 Inf -> -0 | |
dqrmn694 remaindernear 1 Inf -> 1 | |
dqrmn695 remaindernear 1000 Inf -> 1000 | |
dqrmn696 remaindernear Inf Inf -> NaN Invalid_operation | |
dqrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation | |
dqrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation | |
dqrmn702 remaindernear -Inf -1 -> NaN Invalid_operation | |
dqrmn703 remaindernear -Inf -0 -> NaN Invalid_operation | |
dqrmn704 remaindernear -Inf 0 -> NaN Invalid_operation | |
dqrmn705 remaindernear -Inf 1 -> NaN Invalid_operation | |
dqrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation | |
dqrmn707 remaindernear -Inf Inf -> NaN Invalid_operation | |
dqrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation | |
dqrmn709 remaindernear -1000 Inf -> -1000 | |
dqrmn710 remaindernear -1 -Inf -> -1 | |
dqrmn711 remaindernear -0 -Inf -> -0 | |
dqrmn712 remaindernear 0 -Inf -> 0 | |
dqrmn713 remaindernear 1 -Inf -> 1 | |
dqrmn714 remaindernear 1000 -Inf -> 1000 | |
dqrmn715 remaindernear Inf -Inf -> NaN Invalid_operation | |
dqrmn721 remaindernear NaN -Inf -> NaN | |
dqrmn722 remaindernear NaN -1000 -> NaN | |
dqrmn723 remaindernear NaN -1 -> NaN | |
dqrmn724 remaindernear NaN -0 -> NaN | |
dqrmn725 remaindernear -NaN 0 -> -NaN | |
dqrmn726 remaindernear NaN 1 -> NaN | |
dqrmn727 remaindernear NaN 1000 -> NaN | |
dqrmn728 remaindernear NaN Inf -> NaN | |
dqrmn729 remaindernear NaN -NaN -> NaN | |
dqrmn730 remaindernear -Inf NaN -> NaN | |
dqrmn731 remaindernear -1000 NaN -> NaN | |
dqrmn732 remaindernear -1 NaN -> NaN | |
dqrmn733 remaindernear -0 -NaN -> -NaN | |
dqrmn734 remaindernear 0 NaN -> NaN | |
dqrmn735 remaindernear 1 -NaN -> -NaN | |
dqrmn736 remaindernear 1000 NaN -> NaN | |
dqrmn737 remaindernear Inf NaN -> NaN | |
dqrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation | |
dqrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation | |
dqrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation | |
dqrmn744 remaindernear sNaN -0 -> NaN Invalid_operation | |
dqrmn745 remaindernear sNaN 0 -> NaN Invalid_operation | |
dqrmn746 remaindernear sNaN 1 -> NaN Invalid_operation | |
dqrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation | |
dqrmn749 remaindernear sNaN NaN -> NaN Invalid_operation | |
dqrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation | |
dqrmn751 remaindernear NaN sNaN -> NaN Invalid_operation | |
dqrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation | |
dqrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation | |
dqrmn754 remaindernear -1 sNaN -> NaN Invalid_operation | |
dqrmn755 remaindernear -0 sNaN -> NaN Invalid_operation | |
dqrmn756 remaindernear 0 sNaN -> NaN Invalid_operation | |
dqrmn757 remaindernear 1 sNaN -> NaN Invalid_operation | |
dqrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation | |
dqrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation | |
-- propaging NaNs | |
dqrmn760 remaindernear NaN1 NaN7 -> NaN1 | |
dqrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation | |
dqrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation | |
dqrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation | |
dqrmn764 remaindernear 15 NaN11 -> NaN11 | |
dqrmn765 remaindernear NaN6 NaN12 -> NaN6 | |
dqrmn766 remaindernear Inf NaN13 -> NaN13 | |
dqrmn767 remaindernear NaN14 -Inf -> NaN14 | |
dqrmn768 remaindernear 0 NaN15 -> NaN15 | |
dqrmn769 remaindernear NaN16 -0 -> NaN16 | |
-- edge cases of impossible | |
dqrmn770 remaindernear 1234500000000000000000067890123456 10 -> -4 | |
dqrmn771 remaindernear 1234500000000000000000067890123456 1 -> 0 | |
dqrmn772 remaindernear 1234500000000000000000067890123456 0.1 -> NaN Division_impossible | |
dqrmn773 remaindernear 1234500000000000000000067890123456 0.01 -> NaN Division_impossible | |
-- long operand checks | |
dqrmn801 remaindernear 12345678000 100 -> 0 | |
dqrmn802 remaindernear 1 12345678000 -> 1 | |
dqrmn803 remaindernear 1234567800 10 -> 0 | |
dqrmn804 remaindernear 1 1234567800 -> 1 | |
dqrmn805 remaindernear 1234567890 10 -> 0 | |
dqrmn806 remaindernear 1 1234567890 -> 1 | |
dqrmn807 remaindernear 1234567891 10 -> 1 | |
dqrmn808 remaindernear 1 1234567891 -> 1 | |
dqrmn809 remaindernear 12345678901 100 -> 1 | |
dqrmn810 remaindernear 1 12345678901 -> 1 | |
dqrmn811 remaindernear 1234567896 10 -> -4 | |
dqrmn812 remaindernear 1 1234567896 -> 1 | |
dqrmn821 remaindernear 12345678000 100 -> 0 | |
dqrmn822 remaindernear 1 12345678000 -> 1 | |
dqrmn823 remaindernear 1234567800 10 -> 0 | |
dqrmn824 remaindernear 1 1234567800 -> 1 | |
dqrmn825 remaindernear 1234567890 10 -> 0 | |
dqrmn826 remaindernear 1 1234567890 -> 1 | |
dqrmn827 remaindernear 1234567891 10 -> 1 | |
dqrmn828 remaindernear 1 1234567891 -> 1 | |
dqrmn829 remaindernear 12345678901 100 -> 1 | |
dqrmn830 remaindernear 1 12345678901 -> 1 | |
dqrmn831 remaindernear 1234567896 10 -> -4 | |
dqrmn832 remaindernear 1 1234567896 -> 1 | |
-- from divideint | |
dqrmn840 remaindernear 100000000.0 1 -> 0.0 | |
dqrmn841 remaindernear 100000000.4 1 -> 0.4 | |
dqrmn842 remaindernear 100000000.5 1 -> 0.5 | |
dqrmn843 remaindernear 100000000.9 1 -> -0.1 | |
dqrmn844 remaindernear 100000000.999 1 -> -0.001 | |
dqrmn850 remaindernear 100000003 5 -> -2 | |
dqrmn851 remaindernear 10000003 5 -> -2 | |
dqrmn852 remaindernear 1000003 5 -> -2 | |
dqrmn853 remaindernear 100003 5 -> -2 | |
dqrmn854 remaindernear 10003 5 -> -2 | |
dqrmn855 remaindernear 1003 5 -> -2 | |
dqrmn856 remaindernear 103 5 -> -2 | |
dqrmn857 remaindernear 13 5 -> -2 | |
dqrmn858 remaindernear 1 5 -> 1 | |
-- Vladimir's cases 1234567890123456 | |
dqrmn860 remaindernear 123.0e1 1000000000000000 -> 1230 | |
dqrmn861 remaindernear 1230 1000000000000000 -> 1230 | |
dqrmn862 remaindernear 12.3e2 1000000000000000 -> 1230 | |
dqrmn863 remaindernear 1.23e3 1000000000000000 -> 1230 | |
dqrmn864 remaindernear 123e1 1000000000000000 -> 1230 | |
dqrmn870 remaindernear 123e1 1000000000000000 -> 1230 | |
dqrmn871 remaindernear 123e1 100000000000000 -> 1230 | |
dqrmn872 remaindernear 123e1 10000000000000 -> 1230 | |
dqrmn873 remaindernear 123e1 1000000000000 -> 1230 | |
dqrmn874 remaindernear 123e1 100000000000 -> 1230 | |
dqrmn875 remaindernear 123e1 10000000000 -> 1230 | |
dqrmn876 remaindernear 123e1 1000000000 -> 1230 | |
dqrmn877 remaindernear 123e1 100000000 -> 1230 | |
dqrmn878 remaindernear 1230 100000000 -> 1230 | |
dqrmn879 remaindernear 123e1 10000000 -> 1230 | |
dqrmn880 remaindernear 123e1 1000000 -> 1230 | |
dqrmn881 remaindernear 123e1 100000 -> 1230 | |
dqrmn882 remaindernear 123e1 10000 -> 1230 | |
dqrmn883 remaindernear 123e1 1000 -> 230 | |
dqrmn884 remaindernear 123e1 100 -> 30 | |
dqrmn885 remaindernear 123e1 10 -> 0 | |
dqrmn886 remaindernear 123e1 1 -> 0 | |
dqrmn890 remaindernear 123e1 2000000000000000 -> 1230 | |
dqrmn891 remaindernear 123e1 200000000000000 -> 1230 | |
dqrmn892 remaindernear 123e1 20000000000000 -> 1230 | |
dqrmn893 remaindernear 123e1 2000000000000 -> 1230 | |
dqrmn894 remaindernear 123e1 200000000000 -> 1230 | |
dqrmn895 remaindernear 123e1 20000000000 -> 1230 | |
dqrmn896 remaindernear 123e1 2000000000 -> 1230 | |
dqrmn897 remaindernear 123e1 200000000 -> 1230 | |
dqrmn899 remaindernear 123e1 20000000 -> 1230 | |
dqrmn900 remaindernear 123e1 2000000 -> 1230 | |
dqrmn901 remaindernear 123e1 200000 -> 1230 | |
dqrmn902 remaindernear 123e1 20000 -> 1230 | |
dqrmn903 remaindernear 123e1 2000 -> -770 | |
dqrmn904 remaindernear 123e1 200 -> 30 | |
dqrmn905 remaindernear 123e1 20 -> -10 | |
dqrmn906 remaindernear 123e1 2 -> 0 | |
dqrmn910 remaindernear 123e1 5000000000000000 -> 1230 | |
dqrmn911 remaindernear 123e1 500000000000000 -> 1230 | |
dqrmn912 remaindernear 123e1 50000000000000 -> 1230 | |
dqrmn913 remaindernear 123e1 5000000000000 -> 1230 | |
dqrmn914 remaindernear 123e1 500000000000 -> 1230 | |
dqrmn915 remaindernear 123e1 50000000000 -> 1230 | |
dqrmn916 remaindernear 123e1 5000000000 -> 1230 | |
dqrmn917 remaindernear 123e1 500000000 -> 1230 | |
dqrmn919 remaindernear 123e1 50000000 -> 1230 | |
dqrmn920 remaindernear 123e1 5000000 -> 1230 | |
dqrmn921 remaindernear 123e1 500000 -> 1230 | |
dqrmn922 remaindernear 123e1 50000 -> 1230 | |
dqrmn923 remaindernear 123e1 5000 -> 1230 | |
dqrmn924 remaindernear 123e1 500 -> 230 | |
dqrmn925 remaindernear 123e1 50 -> -20 | |
dqrmn926 remaindernear 123e1 5 -> 0 | |
dqrmn930 remaindernear 123e1 9000000000000000 -> 1230 | |
dqrmn931 remaindernear 123e1 900000000000000 -> 1230 | |
dqrmn932 remaindernear 123e1 90000000000000 -> 1230 | |
dqrmn933 remaindernear 123e1 9000000000000 -> 1230 | |
dqrmn934 remaindernear 123e1 900000000000 -> 1230 | |
dqrmn935 remaindernear 123e1 90000000000 -> 1230 | |
dqrmn936 remaindernear 123e1 9000000000 -> 1230 | |
dqrmn937 remaindernear 123e1 900000000 -> 1230 | |
dqrmn939 remaindernear 123e1 90000000 -> 1230 | |
dqrmn940 remaindernear 123e1 9000000 -> 1230 | |
dqrmn941 remaindernear 123e1 900000 -> 1230 | |
dqrmn942 remaindernear 123e1 90000 -> 1230 | |
dqrmn943 remaindernear 123e1 9000 -> 1230 | |
dqrmn944 remaindernear 123e1 900 -> 330 | |
dqrmn945 remaindernear 123e1 90 -> -30 | |
dqrmn946 remaindernear 123e1 9 -> -3 | |
dqrmn950 remaindernear 123e1 1000000000000000 -> 1230 | |
dqrmn961 remaindernear 123e1 2999999999999999 -> 1230 | |
dqrmn962 remaindernear 123e1 3999999999999999 -> 1230 | |
dqrmn963 remaindernear 123e1 4999999999999999 -> 1230 | |
dqrmn964 remaindernear 123e1 5999999999999999 -> 1230 | |
dqrmn965 remaindernear 123e1 6999999999999999 -> 1230 | |
dqrmn966 remaindernear 123e1 7999999999999999 -> 1230 | |
dqrmn967 remaindernear 123e1 8999999999999999 -> 1230 | |
dqrmn968 remaindernear 123e1 9999999999999999 -> 1230 | |
dqrmn969 remaindernear 123e1 9876543210987654 -> 1230 | |
dqrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally | |
-- overflow and underflow tests [from divide] | |
dqrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible | |
dqrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible | |
dqrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible | |
dqrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible | |
dqrmn1055 remaindernear 1e-277 1e+311 -> 1E-277 | |
dqrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277 | |
dqrmn1057 remaindernear -1e-277 1e+311 -> -1E-277 | |
dqrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277 | |
-- Gyuris example | |
dqrmn1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143 | |
-- destructive subtract | |
dqrmn1101 remaindernear 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> -0.234567890123456789012345678901233 | |
dqrmn1102 remaindernear 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> -0.34567890123456789012345678901222 | |
dqrmn1103 remaindernear 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> -0.4567890123456789012345678901111 | |
dqrmn1104 remaindernear 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> -1.308641972530864197253086419725314 | |
dqrmn1105 remaindernear 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692 | |
dqrmn1106 remaindernear 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> -1.3086421975308642197530864219748 | |
dqrmn1107 remaindernear 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247 | |
dqrmn1108 remaindernear 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> -0.753086421975308642197530864219753 | |
dqrmn1109 remaindernear 1234567890123456789012345678901234 5.000000000000000000000000000000001 -> -1.246913578024691357802469135780247 | |
dqrmn1110 remaindernear 1234567890123456789012345678901234 5.00000000000000000000000000000001 -> 1.53086421975308642197530864219754 | |
dqrmn1111 remaindernear 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> -0.6913578024691357802469135780242 | |
-- Null tests | |
dqrmn1000 remaindernear 10 # -> NaN Invalid_operation | |
dqrmn1001 remaindernear # 10 -> NaN Invalid_operation | |