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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 --
-- [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