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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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