| ------------------------------------------------------------------------ |
| -- 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 -- |
| -- [email protected] -- |
| ------------------------------------------------------------------------ |
| 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 |
| |
