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✏️ dqRemainderNear.decTest
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------------------------------------------------------------------------ -- 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
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