| ------------------------------------------------------------------------ | |
| -- ddRemainderNear.decTest -- decDouble 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 | |
| precision: 16 | |
| maxExponent: 384 | |
| minExponent: -383 | |
| extended: 1 | |
| clamp: 1 | |
| rounding: half_even | |
| -- sanity checks (as base, above) | |
| ddrmn001 remaindernear 1 1 -> 0 | |
| ddrmn002 remaindernear 2 1 -> 0 | |
| ddrmn003 remaindernear 1 2 -> 1 | |
| ddrmn004 remaindernear 2 2 -> 0 | |
| ddrmn005 remaindernear 0 1 -> 0 | |
| ddrmn006 remaindernear 0 2 -> 0 | |
| ddrmn007 remaindernear 1 3 -> 1 | |
| ddrmn008 remaindernear 2 3 -> -1 | |
| ddrmn009 remaindernear 3 3 -> 0 | |
| ddrmn010 remaindernear 2.4 1 -> 0.4 | |
| ddrmn011 remaindernear 2.4 -1 -> 0.4 | |
| ddrmn012 remaindernear -2.4 1 -> -0.4 | |
| ddrmn013 remaindernear -2.4 -1 -> -0.4 | |
| ddrmn014 remaindernear 2.40 1 -> 0.40 | |
| ddrmn015 remaindernear 2.400 1 -> 0.400 | |
| ddrmn016 remaindernear 2.4 2 -> 0.4 | |
| ddrmn017 remaindernear 2.400 2 -> 0.400 | |
| ddrmn018 remaindernear 2. 2 -> 0 | |
| ddrmn019 remaindernear 20 20 -> 0 | |
| ddrmn020 remaindernear 187 187 -> 0 | |
| ddrmn021 remaindernear 5 2 -> 1 | |
| ddrmn022 remaindernear 5 2.0 -> 1.0 | |
| ddrmn023 remaindernear 5 2.000 -> 1.000 | |
| ddrmn024 remaindernear 5 0.200 -> 0.000 | |
| ddrmn025 remaindernear 5 0.200 -> 0.000 | |
| ddrmn030 remaindernear 1 2 -> 1 | |
| ddrmn031 remaindernear 1 4 -> 1 | |
| ddrmn032 remaindernear 1 8 -> 1 | |
| ddrmn033 remaindernear 1 16 -> 1 | |
| ddrmn034 remaindernear 1 32 -> 1 | |
| ddrmn035 remaindernear 1 64 -> 1 | |
| ddrmn040 remaindernear 1 -2 -> 1 | |
| ddrmn041 remaindernear 1 -4 -> 1 | |
| ddrmn042 remaindernear 1 -8 -> 1 | |
| ddrmn043 remaindernear 1 -16 -> 1 | |
| ddrmn044 remaindernear 1 -32 -> 1 | |
| ddrmn045 remaindernear 1 -64 -> 1 | |
| ddrmn050 remaindernear -1 2 -> -1 | |
| ddrmn051 remaindernear -1 4 -> -1 | |
| ddrmn052 remaindernear -1 8 -> -1 | |
| ddrmn053 remaindernear -1 16 -> -1 | |
| ddrmn054 remaindernear -1 32 -> -1 | |
| ddrmn055 remaindernear -1 64 -> -1 | |
| ddrmn060 remaindernear -1 -2 -> -1 | |
| ddrmn061 remaindernear -1 -4 -> -1 | |
| ddrmn062 remaindernear -1 -8 -> -1 | |
| ddrmn063 remaindernear -1 -16 -> -1 | |
| ddrmn064 remaindernear -1 -32 -> -1 | |
| ddrmn065 remaindernear -1 -64 -> -1 | |
| ddrmn066 remaindernear 9.9 1 -> -0.1 | |
| ddrmn067 remaindernear 99.7 1 -> -0.3 | |
| ddrmn068 remaindernear 999999999 1 -> 0 | |
| ddrmn069 remaindernear 999999999.4 1 -> 0.4 | |
| ddrmn070 remaindernear 999999999.5 1 -> -0.5 | |
| ddrmn071 remaindernear 999999999.9 1 -> -0.1 | |
| ddrmn072 remaindernear 999999999.999 1 -> -0.001 | |
| ddrmn073 remaindernear 999999.999999 1 -> -0.000001 | |
| ddrmn074 remaindernear 9 1 -> 0 | |
| ddrmn075 remaindernear 9999999999999999 1 -> 0 | |
| ddrmn076 remaindernear 9999999999999999 2 -> -1 | |
| ddrmn077 remaindernear 9999999999999999 3 -> 0 | |
| ddrmn078 remaindernear 9999999999999999 4 -> -1 | |
| ddrmn080 remaindernear 0. 1 -> 0 | |
| ddrmn081 remaindernear .0 1 -> 0.0 | |
| ddrmn082 remaindernear 0.00 1 -> 0.00 | |
| ddrmn083 remaindernear 0.00E+9 1 -> 0 | |
| ddrmn084 remaindernear 0.00E+3 1 -> 0 | |
| ddrmn085 remaindernear 0.00E+2 1 -> 0 | |
| ddrmn086 remaindernear 0.00E+1 1 -> 0.0 | |
| ddrmn087 remaindernear 0.00E+0 1 -> 0.00 | |
| ddrmn088 remaindernear 0.00E-0 1 -> 0.00 | |
| ddrmn089 remaindernear 0.00E-1 1 -> 0.000 | |
| ddrmn090 remaindernear 0.00E-2 1 -> 0.0000 | |
| ddrmn091 remaindernear 0.00E-3 1 -> 0.00000 | |
| ddrmn092 remaindernear 0.00E-4 1 -> 0.000000 | |
| ddrmn093 remaindernear 0.00E-5 1 -> 0E-7 | |
| ddrmn094 remaindernear 0.00E-6 1 -> 0E-8 | |
| ddrmn095 remaindernear 0.0000E-50 1 -> 0E-54 | |
| -- Various flavours of remaindernear by 0 | |
| ddrmn101 remaindernear 0 0 -> NaN Division_undefined | |
| ddrmn102 remaindernear 0 -0 -> NaN Division_undefined | |
| ddrmn103 remaindernear -0 0 -> NaN Division_undefined | |
| ddrmn104 remaindernear -0 -0 -> NaN Division_undefined | |
| ddrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined | |
| ddrmn106 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] | |
| ddrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation | |
| ddrmn108 remaindernear 0.01 0 -> NaN Invalid_operation | |
| ddrmn109 remaindernear 0.1 0 -> NaN Invalid_operation | |
| ddrmn110 remaindernear 1 0 -> NaN Invalid_operation | |
| ddrmn111 remaindernear 1 0.0 -> NaN Invalid_operation | |
| ddrmn112 remaindernear 10 0.0 -> NaN Invalid_operation | |
| ddrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation | |
| ddrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation | |
| ddrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation | |
| ddrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation | |
| ddrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation | |
| ddrmn120 remaindernear 1 -0 -> NaN Invalid_operation | |
| ddrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation | |
| ddrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation | |
| ddrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation | |
| ddrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation | |
| -- and zeros on left | |
| ddrmn130 remaindernear 0 1 -> 0 | |
| ddrmn131 remaindernear 0 -1 -> 0 | |
| ddrmn132 remaindernear 0.0 1 -> 0.0 | |
| ddrmn133 remaindernear 0.0 -1 -> 0.0 | |
| ddrmn134 remaindernear -0 1 -> -0 | |
| ddrmn135 remaindernear -0 -1 -> -0 | |
| ddrmn136 remaindernear -0.0 1 -> -0.0 | |
| ddrmn137 remaindernear -0.0 -1 -> -0.0 | |
| -- 0.5ers | |
| ddrmn143 remaindernear 0.5 2 -> 0.5 | |
| ddrmn144 remaindernear 0.5 2.1 -> 0.5 | |
| ddrmn145 remaindernear 0.5 2.01 -> 0.50 | |
| ddrmn146 remaindernear 0.5 2.001 -> 0.500 | |
| ddrmn147 remaindernear 0.50 2 -> 0.50 | |
| ddrmn148 remaindernear 0.50 2.01 -> 0.50 | |
| ddrmn149 remaindernear 0.50 2.001 -> 0.500 | |
| -- steadies | |
| ddrmn150 remaindernear 1 1 -> 0 | |
| ddrmn151 remaindernear 1 2 -> 1 | |
| ddrmn152 remaindernear 1 3 -> 1 | |
| ddrmn153 remaindernear 1 4 -> 1 | |
| ddrmn154 remaindernear 1 5 -> 1 | |
| ddrmn155 remaindernear 1 6 -> 1 | |
| ddrmn156 remaindernear 1 7 -> 1 | |
| ddrmn157 remaindernear 1 8 -> 1 | |
| ddrmn158 remaindernear 1 9 -> 1 | |
| ddrmn159 remaindernear 1 10 -> 1 | |
| ddrmn160 remaindernear 1 1 -> 0 | |
| ddrmn161 remaindernear 2 1 -> 0 | |
| ddrmn162 remaindernear 3 1 -> 0 | |
| ddrmn163 remaindernear 4 1 -> 0 | |
| ddrmn164 remaindernear 5 1 -> 0 | |
| ddrmn165 remaindernear 6 1 -> 0 | |
| ddrmn166 remaindernear 7 1 -> 0 | |
| ddrmn167 remaindernear 8 1 -> 0 | |
| ddrmn168 remaindernear 9 1 -> 0 | |
| ddrmn169 remaindernear 10 1 -> 0 | |
| -- some differences from remainder | |
| ddrmn171 remaindernear 0.4 1.020 -> 0.400 | |
| ddrmn172 remaindernear 0.50 1.020 -> 0.500 | |
| ddrmn173 remaindernear 0.51 1.020 -> 0.510 | |
| ddrmn174 remaindernear 0.52 1.020 -> -0.500 | |
| ddrmn175 remaindernear 0.6 1.020 -> -0.420 | |
| -- More flavours of remaindernear by 0 | |
| ddrmn201 remaindernear 0 0 -> NaN Division_undefined | |
| ddrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined | |
| ddrmn203 remaindernear 0.000 0 -> NaN Division_undefined | |
| ddrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation | |
| ddrmn205 remaindernear 0.01 0 -> NaN Invalid_operation | |
| ddrmn206 remaindernear 0.1 0 -> NaN Invalid_operation | |
| ddrmn207 remaindernear 1 0 -> NaN Invalid_operation | |
| ddrmn208 remaindernear 1 0.0 -> NaN Invalid_operation | |
| ddrmn209 remaindernear 10 0.0 -> NaN Invalid_operation | |
| ddrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation | |
| ddrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation | |
| -- tests from the extended specification | |
| ddrmn221 remaindernear 2.1 3 -> -0.9 | |
| ddrmn222 remaindernear 10 6 -> -2 | |
| ddrmn223 remaindernear 10 3 -> 1 | |
| ddrmn224 remaindernear -10 3 -> -1 | |
| ddrmn225 remaindernear 10.2 1 -> 0.2 | |
| ddrmn226 remaindernear 10 0.3 -> 0.1 | |
| ddrmn227 remaindernear 3.6 1.3 -> -0.3 | |
| -- some differences from remainder | |
| ddrmn231 remaindernear -0.4 1.020 -> -0.400 | |
| ddrmn232 remaindernear -0.50 1.020 -> -0.500 | |
| ddrmn233 remaindernear -0.51 1.020 -> -0.510 | |
| ddrmn234 remaindernear -0.52 1.020 -> 0.500 | |
| ddrmn235 remaindernear -0.6 1.020 -> 0.420 | |
| -- high Xs | |
| ddrmn240 remaindernear 1E+2 1.00 -> 0.00 | |
| -- ddrmn3xx are from DiagBigDecimal | |
| ddrmn301 remaindernear 1 3 -> 1 | |
| ddrmn302 remaindernear 5 5 -> 0 | |
| ddrmn303 remaindernear 13 10 -> 3 | |
| ddrmn304 remaindernear 13 50 -> 13 | |
| ddrmn305 remaindernear 13 100 -> 13 | |
| ddrmn306 remaindernear 13 1000 -> 13 | |
| ddrmn307 remaindernear .13 1 -> 0.13 | |
| ddrmn308 remaindernear 0.133 1 -> 0.133 | |
| ddrmn309 remaindernear 0.1033 1 -> 0.1033 | |
| ddrmn310 remaindernear 1.033 1 -> 0.033 | |
| ddrmn311 remaindernear 10.33 1 -> 0.33 | |
| ddrmn312 remaindernear 10.33 10 -> 0.33 | |
| ddrmn313 remaindernear 103.3 1 -> 0.3 | |
| ddrmn314 remaindernear 133 10 -> 3 | |
| ddrmn315 remaindernear 1033 10 -> 3 | |
| ddrmn316 remaindernear 1033 50 -> -17 | |
| ddrmn317 remaindernear 101.0 3 -> -1.0 | |
| ddrmn318 remaindernear 102.0 3 -> 0.0 | |
| ddrmn319 remaindernear 103.0 3 -> 1.0 | |
| ddrmn320 remaindernear 2.40 1 -> 0.40 | |
| ddrmn321 remaindernear 2.400 1 -> 0.400 | |
| ddrmn322 remaindernear 2.4 1 -> 0.4 | |
| ddrmn323 remaindernear 2.4 2 -> 0.4 | |
| ddrmn324 remaindernear 2.400 2 -> 0.400 | |
| ddrmn325 remaindernear 1 0.3 -> 0.1 | |
| ddrmn326 remaindernear 1 0.30 -> 0.10 | |
| ddrmn327 remaindernear 1 0.300 -> 0.100 | |
| ddrmn328 remaindernear 1 0.3000 -> 0.1000 | |
| ddrmn329 remaindernear 1.0 0.3 -> 0.1 | |
| ddrmn330 remaindernear 1.00 0.3 -> 0.10 | |
| ddrmn331 remaindernear 1.000 0.3 -> 0.100 | |
| ddrmn332 remaindernear 1.0000 0.3 -> 0.1000 | |
| ddrmn333 remaindernear 0.5 2 -> 0.5 | |
| ddrmn334 remaindernear 0.5 2.1 -> 0.5 | |
| ddrmn335 remaindernear 0.5 2.01 -> 0.50 | |
| ddrmn336 remaindernear 0.5 2.001 -> 0.500 | |
| ddrmn337 remaindernear 0.50 2 -> 0.50 | |
| ddrmn338 remaindernear 0.50 2.01 -> 0.50 | |
| ddrmn339 remaindernear 0.50 2.001 -> 0.500 | |
| ddrmn340 remaindernear 0.5 0.5000001 -> -1E-7 | |
| ddrmn341 remaindernear 0.5 0.50000001 -> -1E-8 | |
| ddrmn342 remaindernear 0.5 0.500000001 -> -1E-9 | |
| ddrmn343 remaindernear 0.5 0.5000000001 -> -1E-10 | |
| ddrmn344 remaindernear 0.5 0.50000000001 -> -1E-11 | |
| ddrmn345 remaindernear 0.5 0.4999999 -> 1E-7 | |
| ddrmn346 remaindernear 0.5 0.49999999 -> 1E-8 | |
| ddrmn347 remaindernear 0.5 0.499999999 -> 1E-9 | |
| ddrmn348 remaindernear 0.5 0.4999999999 -> 1E-10 | |
| ddrmn349 remaindernear 0.5 0.49999999999 -> 1E-11 | |
| ddrmn350 remaindernear 0.5 0.499999999999 -> 1E-12 | |
| ddrmn351 remaindernear 0.03 7 -> 0.03 | |
| ddrmn352 remaindernear 5 2 -> 1 | |
| ddrmn353 remaindernear 4.1 2 -> 0.1 | |
| ddrmn354 remaindernear 4.01 2 -> 0.01 | |
| ddrmn355 remaindernear 4.001 2 -> 0.001 | |
| ddrmn356 remaindernear 4.0001 2 -> 0.0001 | |
| ddrmn357 remaindernear 4.00001 2 -> 0.00001 | |
| ddrmn358 remaindernear 4.000001 2 -> 0.000001 | |
| ddrmn359 remaindernear 4.0000001 2 -> 1E-7 | |
| ddrmn360 remaindernear 1.2 0.7345 -> -0.2690 | |
| ddrmn361 remaindernear 0.8 12 -> 0.8 | |
| ddrmn362 remaindernear 0.8 0.2 -> 0.0 | |
| ddrmn363 remaindernear 0.8 0.3 -> -0.1 | |
| ddrmn364 remaindernear 0.800 12 -> 0.800 | |
| ddrmn365 remaindernear 0.800 1.7 -> 0.800 | |
| ddrmn366 remaindernear 2.400 2 -> 0.400 | |
| -- round to even | |
| ddrmn371 remaindernear 121 2 -> 1 | |
| ddrmn372 remaindernear 122 2 -> 0 | |
| ddrmn373 remaindernear 123 2 -> -1 | |
| ddrmn374 remaindernear 124 2 -> 0 | |
| ddrmn375 remaindernear 125 2 -> 1 | |
| ddrmn376 remaindernear 126 2 -> 0 | |
| ddrmn377 remaindernear 127 2 -> -1 | |
| ddrmn381 remaindernear 12345 1 -> 0 | |
| ddrmn382 remaindernear 12345 1.0001 -> -0.2344 | |
| ddrmn383 remaindernear 12345 1.001 -> -0.333 | |
| ddrmn384 remaindernear 12345 1.01 -> -0.23 | |
| ddrmn385 remaindernear 12345 1.1 -> -0.3 | |
| ddrmn386 remaindernear 12355 4 -> -1 | |
| ddrmn387 remaindernear 12345 4 -> 1 | |
| ddrmn388 remaindernear 12355 4.0001 -> -1.3089 | |
| ddrmn389 remaindernear 12345 4.0001 -> 0.6914 | |
| ddrmn390 remaindernear 12345 4.9 -> 1.9 | |
| ddrmn391 remaindernear 12345 4.99 -> -0.26 | |
| ddrmn392 remaindernear 12345 4.999 -> 2.469 | |
| ddrmn393 remaindernear 12345 4.9999 -> 0.2469 | |
| ddrmn394 remaindernear 12345 5 -> 0 | |
| ddrmn395 remaindernear 12345 5.0001 -> -0.2469 | |
| ddrmn396 remaindernear 12345 5.001 -> -2.469 | |
| ddrmn397 remaindernear 12345 5.01 -> 0.36 | |
| ddrmn398 remaindernear 12345 5.1 -> -2.1 | |
| -- the nasty division-by-1 cases | |
| ddrmn401 remaindernear 0.4 1 -> 0.4 | |
| ddrmn402 remaindernear 0.45 1 -> 0.45 | |
| ddrmn403 remaindernear 0.455 1 -> 0.455 | |
| ddrmn404 remaindernear 0.4555 1 -> 0.4555 | |
| ddrmn405 remaindernear 0.45555 1 -> 0.45555 | |
| ddrmn406 remaindernear 0.455555 1 -> 0.455555 | |
| ddrmn407 remaindernear 0.4555555 1 -> 0.4555555 | |
| ddrmn408 remaindernear 0.45555555 1 -> 0.45555555 | |
| ddrmn409 remaindernear 0.455555555 1 -> 0.455555555 | |
| -- with spill... [412 exercises sticktab loop] | |
| ddrmn411 remaindernear 0.5 1 -> 0.5 | |
| ddrmn412 remaindernear 0.55 1 -> -0.45 | |
| ddrmn413 remaindernear 0.555 1 -> -0.445 | |
| ddrmn414 remaindernear 0.5555 1 -> -0.4445 | |
| ddrmn415 remaindernear 0.55555 1 -> -0.44445 | |
| ddrmn416 remaindernear 0.555555 1 -> -0.444445 | |
| ddrmn417 remaindernear 0.5555555 1 -> -0.4444445 | |
| ddrmn418 remaindernear 0.55555555 1 -> -0.44444445 | |
| ddrmn419 remaindernear 0.555555555 1 -> -0.444444445 | |
| -- folddowns | |
| ddrmn421 remaindernear 1E+384 1 -> NaN Division_impossible | |
| ddrmn422 remaindernear 1E+384 1E+383 -> 0E+369 Clamped | |
| ddrmn423 remaindernear 1E+384 2E+383 -> 0E+369 Clamped | |
| ddrmn424 remaindernear 1E+384 3E+383 -> 1.00000000000000E+383 Clamped | |
| ddrmn425 remaindernear 1E+384 4E+383 -> 2.00000000000000E+383 Clamped | |
| ddrmn426 remaindernear 1E+384 5E+383 -> 0E+369 Clamped | |
| ddrmn427 remaindernear 1E+384 6E+383 -> -2.00000000000000E+383 Clamped | |
| ddrmn428 remaindernear 1E+384 7E+383 -> 3.00000000000000E+383 Clamped | |
| ddrmn429 remaindernear 1E+384 8E+383 -> 2.00000000000000E+383 Clamped | |
| ddrmn430 remaindernear 1E+384 9E+383 -> 1.00000000000000E+383 Clamped | |
| -- tinies | |
| ddrmn431 remaindernear 1E-397 1E-398 -> 0E-398 | |
| ddrmn432 remaindernear 1E-397 2E-398 -> 0E-398 | |
| ddrmn433 remaindernear 1E-397 3E-398 -> 1E-398 Subnormal | |
| ddrmn434 remaindernear 1E-397 4E-398 -> 2E-398 Subnormal | |
| ddrmn435 remaindernear 1E-397 5E-398 -> 0E-398 | |
| ddrmn436 remaindernear 1E-397 6E-398 -> -2E-398 Subnormal | |
| ddrmn437 remaindernear 1E-397 7E-398 -> 3E-398 Subnormal | |
| ddrmn438 remaindernear 1E-397 8E-398 -> 2E-398 Subnormal | |
| ddrmn439 remaindernear 1E-397 9E-398 -> 1E-398 Subnormal | |
| ddrmn440 remaindernear 1E-397 10E-398 -> 0E-398 | |
| ddrmn441 remaindernear 1E-397 11E-398 -> -1E-398 Subnormal | |
| ddrmn442 remaindernear 100E-397 11E-398 -> -1E-398 Subnormal | |
| ddrmn443 remaindernear 100E-397 20E-398 -> 0E-398 | |
| ddrmn444 remaindernear 100E-397 21E-398 -> -8E-398 Subnormal | |
| ddrmn445 remaindernear 100E-397 30E-398 -> 1.0E-397 Subnormal | |
| -- zero signs | |
| ddrmn650 remaindernear 1 1 -> 0 | |
| ddrmn651 remaindernear -1 1 -> -0 | |
| ddrmn652 remaindernear 1 -1 -> 0 | |
| ddrmn653 remaindernear -1 -1 -> -0 | |
| ddrmn654 remaindernear 0 1 -> 0 | |
| ddrmn655 remaindernear -0 1 -> -0 | |
| ddrmn656 remaindernear 0 -1 -> 0 | |
| ddrmn657 remaindernear -0 -1 -> -0 | |
| ddrmn658 remaindernear 0.00 1 -> 0.00 | |
| ddrmn659 remaindernear -0.00 1 -> -0.00 | |
| -- Specials | |
| ddrmn680 remaindernear Inf -Inf -> NaN Invalid_operation | |
| ddrmn681 remaindernear Inf -1000 -> NaN Invalid_operation | |
| ddrmn682 remaindernear Inf -1 -> NaN Invalid_operation | |
| ddrmn683 remaindernear Inf 0 -> NaN Invalid_operation | |
| ddrmn684 remaindernear Inf -0 -> NaN Invalid_operation | |
| ddrmn685 remaindernear Inf 1 -> NaN Invalid_operation | |
| ddrmn686 remaindernear Inf 1000 -> NaN Invalid_operation | |
| ddrmn687 remaindernear Inf Inf -> NaN Invalid_operation | |
| ddrmn688 remaindernear -1000 Inf -> -1000 | |
| ddrmn689 remaindernear -Inf Inf -> NaN Invalid_operation | |
| ddrmn691 remaindernear -1 Inf -> -1 | |
| ddrmn692 remaindernear 0 Inf -> 0 | |
| ddrmn693 remaindernear -0 Inf -> -0 | |
| ddrmn694 remaindernear 1 Inf -> 1 | |
| ddrmn695 remaindernear 1000 Inf -> 1000 | |
| ddrmn696 remaindernear Inf Inf -> NaN Invalid_operation | |
| ddrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation | |
| ddrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation | |
| ddrmn702 remaindernear -Inf -1 -> NaN Invalid_operation | |
| ddrmn703 remaindernear -Inf -0 -> NaN Invalid_operation | |
| ddrmn704 remaindernear -Inf 0 -> NaN Invalid_operation | |
| ddrmn705 remaindernear -Inf 1 -> NaN Invalid_operation | |
| ddrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation | |
| ddrmn707 remaindernear -Inf Inf -> NaN Invalid_operation | |
| ddrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation | |
| ddrmn709 remaindernear -1000 Inf -> -1000 | |
| ddrmn710 remaindernear -1 -Inf -> -1 | |
| ddrmn711 remaindernear -0 -Inf -> -0 | |
| ddrmn712 remaindernear 0 -Inf -> 0 | |
| ddrmn713 remaindernear 1 -Inf -> 1 | |
| ddrmn714 remaindernear 1000 -Inf -> 1000 | |
| ddrmn715 remaindernear Inf -Inf -> NaN Invalid_operation | |
| ddrmn721 remaindernear NaN -Inf -> NaN | |
| ddrmn722 remaindernear NaN -1000 -> NaN | |
| ddrmn723 remaindernear NaN -1 -> NaN | |
| ddrmn724 remaindernear NaN -0 -> NaN | |
| ddrmn725 remaindernear -NaN 0 -> -NaN | |
| ddrmn726 remaindernear NaN 1 -> NaN | |
| ddrmn727 remaindernear NaN 1000 -> NaN | |
| ddrmn728 remaindernear NaN Inf -> NaN | |
| ddrmn729 remaindernear NaN -NaN -> NaN | |
| ddrmn730 remaindernear -Inf NaN -> NaN | |
| ddrmn731 remaindernear -1000 NaN -> NaN | |
| ddrmn732 remaindernear -1 NaN -> NaN | |
| ddrmn733 remaindernear -0 -NaN -> -NaN | |
| ddrmn734 remaindernear 0 NaN -> NaN | |
| ddrmn735 remaindernear 1 -NaN -> -NaN | |
| ddrmn736 remaindernear 1000 NaN -> NaN | |
| ddrmn737 remaindernear Inf NaN -> NaN | |
| ddrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation | |
| ddrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation | |
| ddrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation | |
| ddrmn744 remaindernear sNaN -0 -> NaN Invalid_operation | |
| ddrmn745 remaindernear sNaN 0 -> NaN Invalid_operation | |
| ddrmn746 remaindernear sNaN 1 -> NaN Invalid_operation | |
| ddrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation | |
| ddrmn749 remaindernear sNaN NaN -> NaN Invalid_operation | |
| ddrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation | |
| ddrmn751 remaindernear NaN sNaN -> NaN Invalid_operation | |
| ddrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation | |
| ddrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation | |
| ddrmn754 remaindernear -1 sNaN -> NaN Invalid_operation | |
| ddrmn755 remaindernear -0 sNaN -> NaN Invalid_operation | |
| ddrmn756 remaindernear 0 sNaN -> NaN Invalid_operation | |
| ddrmn757 remaindernear 1 sNaN -> NaN Invalid_operation | |
| ddrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation | |
| ddrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation | |
| -- propaging NaNs | |
| ddrmn760 remaindernear NaN1 NaN7 -> NaN1 | |
| ddrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation | |
| ddrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation | |
| ddrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation | |
| ddrmn764 remaindernear 15 NaN11 -> NaN11 | |
| ddrmn765 remaindernear NaN6 NaN12 -> NaN6 | |
| ddrmn766 remaindernear Inf NaN13 -> NaN13 | |
| ddrmn767 remaindernear NaN14 -Inf -> NaN14 | |
| ddrmn768 remaindernear 0 NaN15 -> NaN15 | |
| ddrmn769 remaindernear NaN16 -0 -> NaN16 | |
| -- edge cases of impossible | |
| ddrmn770 remaindernear 1234567890123456 10 -> -4 | |
| ddrmn771 remaindernear 1234567890123456 1 -> 0 | |
| ddrmn772 remaindernear 1234567890123456 0.1 -> NaN Division_impossible | |
| ddrmn773 remaindernear 1234567890123456 0.01 -> NaN Division_impossible | |
| -- long operand checks | |
| ddrmn801 remaindernear 12345678000 100 -> 0 | |
| ddrmn802 remaindernear 1 12345678000 -> 1 | |
| ddrmn803 remaindernear 1234567800 10 -> 0 | |
| ddrmn804 remaindernear 1 1234567800 -> 1 | |
| ddrmn805 remaindernear 1234567890 10 -> 0 | |
| ddrmn806 remaindernear 1 1234567890 -> 1 | |
| ddrmn807 remaindernear 1234567891 10 -> 1 | |
| ddrmn808 remaindernear 1 1234567891 -> 1 | |
| ddrmn809 remaindernear 12345678901 100 -> 1 | |
| ddrmn810 remaindernear 1 12345678901 -> 1 | |
| ddrmn811 remaindernear 1234567896 10 -> -4 | |
| ddrmn812 remaindernear 1 1234567896 -> 1 | |
| ddrmn821 remaindernear 12345678000 100 -> 0 | |
| ddrmn822 remaindernear 1 12345678000 -> 1 | |
| ddrmn823 remaindernear 1234567800 10 -> 0 | |
| ddrmn824 remaindernear 1 1234567800 -> 1 | |
| ddrmn825 remaindernear 1234567890 10 -> 0 | |
| ddrmn826 remaindernear 1 1234567890 -> 1 | |
| ddrmn827 remaindernear 1234567891 10 -> 1 | |
| ddrmn828 remaindernear 1 1234567891 -> 1 | |
| ddrmn829 remaindernear 12345678901 100 -> 1 | |
| ddrmn830 remaindernear 1 12345678901 -> 1 | |
| ddrmn831 remaindernear 1234567896 10 -> -4 | |
| ddrmn832 remaindernear 1 1234567896 -> 1 | |
| -- from divideint | |
| ddrmn840 remaindernear 100000000.0 1 -> 0.0 | |
| ddrmn841 remaindernear 100000000.4 1 -> 0.4 | |
| ddrmn842 remaindernear 100000000.5 1 -> 0.5 | |
| ddrmn843 remaindernear 100000000.9 1 -> -0.1 | |
| ddrmn844 remaindernear 100000000.999 1 -> -0.001 | |
| ddrmn850 remaindernear 100000003 5 -> -2 | |
| ddrmn851 remaindernear 10000003 5 -> -2 | |
| ddrmn852 remaindernear 1000003 5 -> -2 | |
| ddrmn853 remaindernear 100003 5 -> -2 | |
| ddrmn854 remaindernear 10003 5 -> -2 | |
| ddrmn855 remaindernear 1003 5 -> -2 | |
| ddrmn856 remaindernear 103 5 -> -2 | |
| ddrmn857 remaindernear 13 5 -> -2 | |
| ddrmn858 remaindernear 1 5 -> 1 | |
| -- Vladimir's cases 1234567890123456 | |
| ddrmn860 remaindernear 123.0e1 1000000000000000 -> 1230 | |
| ddrmn861 remaindernear 1230 1000000000000000 -> 1230 | |
| ddrmn862 remaindernear 12.3e2 1000000000000000 -> 1230 | |
| ddrmn863 remaindernear 1.23e3 1000000000000000 -> 1230 | |
| ddrmn864 remaindernear 123e1 1000000000000000 -> 1230 | |
| ddrmn870 remaindernear 123e1 1000000000000000 -> 1230 | |
| ddrmn871 remaindernear 123e1 100000000000000 -> 1230 | |
| ddrmn872 remaindernear 123e1 10000000000000 -> 1230 | |
| ddrmn873 remaindernear 123e1 1000000000000 -> 1230 | |
| ddrmn874 remaindernear 123e1 100000000000 -> 1230 | |
| ddrmn875 remaindernear 123e1 10000000000 -> 1230 | |
| ddrmn876 remaindernear 123e1 1000000000 -> 1230 | |
| ddrmn877 remaindernear 123e1 100000000 -> 1230 | |
| ddrmn878 remaindernear 1230 100000000 -> 1230 | |
| ddrmn879 remaindernear 123e1 10000000 -> 1230 | |
| ddrmn880 remaindernear 123e1 1000000 -> 1230 | |
| ddrmn881 remaindernear 123e1 100000 -> 1230 | |
| ddrmn882 remaindernear 123e1 10000 -> 1230 | |
| ddrmn883 remaindernear 123e1 1000 -> 230 | |
| ddrmn884 remaindernear 123e1 100 -> 30 | |
| ddrmn885 remaindernear 123e1 10 -> 0 | |
| ddrmn886 remaindernear 123e1 1 -> 0 | |
| ddrmn890 remaindernear 123e1 2000000000000000 -> 1230 | |
| ddrmn891 remaindernear 123e1 200000000000000 -> 1230 | |
| ddrmn892 remaindernear 123e1 20000000000000 -> 1230 | |
| ddrmn893 remaindernear 123e1 2000000000000 -> 1230 | |
| ddrmn894 remaindernear 123e1 200000000000 -> 1230 | |
| ddrmn895 remaindernear 123e1 20000000000 -> 1230 | |
| ddrmn896 remaindernear 123e1 2000000000 -> 1230 | |
| ddrmn897 remaindernear 123e1 200000000 -> 1230 | |
| ddrmn899 remaindernear 123e1 20000000 -> 1230 | |
| ddrmn900 remaindernear 123e1 2000000 -> 1230 | |
| ddrmn901 remaindernear 123e1 200000 -> 1230 | |
| ddrmn902 remaindernear 123e1 20000 -> 1230 | |
| ddrmn903 remaindernear 123e1 2000 -> -770 | |
| ddrmn904 remaindernear 123e1 200 -> 30 | |
| ddrmn905 remaindernear 123e1 20 -> -10 | |
| ddrmn906 remaindernear 123e1 2 -> 0 | |
| ddrmn910 remaindernear 123e1 5000000000000000 -> 1230 | |
| ddrmn911 remaindernear 123e1 500000000000000 -> 1230 | |
| ddrmn912 remaindernear 123e1 50000000000000 -> 1230 | |
| ddrmn913 remaindernear 123e1 5000000000000 -> 1230 | |
| ddrmn914 remaindernear 123e1 500000000000 -> 1230 | |
| ddrmn915 remaindernear 123e1 50000000000 -> 1230 | |
| ddrmn916 remaindernear 123e1 5000000000 -> 1230 | |
| ddrmn917 remaindernear 123e1 500000000 -> 1230 | |
| ddrmn919 remaindernear 123e1 50000000 -> 1230 | |
| ddrmn920 remaindernear 123e1 5000000 -> 1230 | |
| ddrmn921 remaindernear 123e1 500000 -> 1230 | |
| ddrmn922 remaindernear 123e1 50000 -> 1230 | |
| ddrmn923 remaindernear 123e1 5000 -> 1230 | |
| ddrmn924 remaindernear 123e1 500 -> 230 | |
| ddrmn925 remaindernear 123e1 50 -> -20 | |
| ddrmn926 remaindernear 123e1 5 -> 0 | |
| ddrmn930 remaindernear 123e1 9000000000000000 -> 1230 | |
| ddrmn931 remaindernear 123e1 900000000000000 -> 1230 | |
| ddrmn932 remaindernear 123e1 90000000000000 -> 1230 | |
| ddrmn933 remaindernear 123e1 9000000000000 -> 1230 | |
| ddrmn934 remaindernear 123e1 900000000000 -> 1230 | |
| ddrmn935 remaindernear 123e1 90000000000 -> 1230 | |
| ddrmn936 remaindernear 123e1 9000000000 -> 1230 | |
| ddrmn937 remaindernear 123e1 900000000 -> 1230 | |
| ddrmn939 remaindernear 123e1 90000000 -> 1230 | |
| ddrmn940 remaindernear 123e1 9000000 -> 1230 | |
| ddrmn941 remaindernear 123e1 900000 -> 1230 | |
| ddrmn942 remaindernear 123e1 90000 -> 1230 | |
| ddrmn943 remaindernear 123e1 9000 -> 1230 | |
| ddrmn944 remaindernear 123e1 900 -> 330 | |
| ddrmn945 remaindernear 123e1 90 -> -30 | |
| ddrmn946 remaindernear 123e1 9 -> -3 | |
| ddrmn950 remaindernear 123e1 1000000000000000 -> 1230 | |
| ddrmn961 remaindernear 123e1 2999999999999999 -> 1230 | |
| ddrmn962 remaindernear 123e1 3999999999999999 -> 1230 | |
| ddrmn963 remaindernear 123e1 4999999999999999 -> 1230 | |
| ddrmn964 remaindernear 123e1 5999999999999999 -> 1230 | |
| ddrmn965 remaindernear 123e1 6999999999999999 -> 1230 | |
| ddrmn966 remaindernear 123e1 7999999999999999 -> 1230 | |
| ddrmn967 remaindernear 123e1 8999999999999999 -> 1230 | |
| ddrmn968 remaindernear 123e1 9999999999999999 -> 1230 | |
| ddrmn969 remaindernear 123e1 9876543210987654 -> 1230 | |
| ddrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally | |
| -- overflow and underflow tests [from divide] | |
| ddrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible | |
| ddrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible | |
| ddrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible | |
| ddrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible | |
| ddrmn1055 remaindernear 1e-277 1e+311 -> 1E-277 | |
| ddrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277 | |
| ddrmn1057 remaindernear -1e-277 1e+311 -> -1E-277 | |
| ddrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277 | |
| -- destructive subtract | |
| ddrmn1100 remainderNear 1234567890123456 1.000000000000001 -> -0.234567890123455 | |
| ddrmn1101 remainderNear 1234567890123456 1.00000000000001 -> -0.34567890123444 | |
| ddrmn1102 remainderNear 1234567890123456 1.0000000000001 -> -0.4567890123333 | |
| ddrmn1103 remainderNear 1234567890123455 4.000000000000001 -> -1.308641972530864 | |
| ddrmn1104 remainderNear 1234567890123456 4.000000000000001 -> -0.308641972530864 | |
| ddrmn1115 remainderNear 1234567890123456 4.9999999999999 -> 0.6913578024696 | |
| ddrmn1116 remainderNear 1234567890123456 4.99999999999999 -> -1.53086421975308 | |
| ddrmn1117 remainderNear 1234567890123456 4.999999999999999 -> 1.246913578024691 | |
| ddrmn1118 remainderNear 1234567890123456 5.000000000000001 -> 0.753086421975309 | |
| ddrmn1119 remainderNear 1234567890123456 5.00000000000001 -> -1.46913578024691 | |
| ddrmn1110 remainderNear 1234567890123456 5.0000000000001 -> 1.3086421975314 | |
| -- Null tests | |
| ddrmn1000 remaindernear 10 # -> NaN Invalid_operation | |
| ddrmn1001 remaindernear # 10 -> NaN Invalid_operation | |