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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
-