Staging
v0.5.1
v0.5.1
https://github.com/python/cpython
Tip revision: e5f6aba872e66bfd86eb592214696a519cded197 authored by Larry Hastings on 01 November 2019, 23:02:34 UTC
Version bump for 3.5.9 final.
Version bump for 3.5.9 final.
Tip revision: e5f6aba
ddRemainderNear.decTest
------------------------------------------------------------------------
-- ddRemainderNear.decTest -- decDouble 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
precision: 16
maxExponent: 384
minExponent: -383
extended: 1
clamp: 1
rounding: half_even
-- sanity checks (as base, above)
ddrmn001 remaindernear 1 1 -> 0
ddrmn002 remaindernear 2 1 -> 0
ddrmn003 remaindernear 1 2 -> 1
ddrmn004 remaindernear 2 2 -> 0
ddrmn005 remaindernear 0 1 -> 0
ddrmn006 remaindernear 0 2 -> 0
ddrmn007 remaindernear 1 3 -> 1
ddrmn008 remaindernear 2 3 -> -1
ddrmn009 remaindernear 3 3 -> 0
ddrmn010 remaindernear 2.4 1 -> 0.4
ddrmn011 remaindernear 2.4 -1 -> 0.4
ddrmn012 remaindernear -2.4 1 -> -0.4
ddrmn013 remaindernear -2.4 -1 -> -0.4
ddrmn014 remaindernear 2.40 1 -> 0.40
ddrmn015 remaindernear 2.400 1 -> 0.400
ddrmn016 remaindernear 2.4 2 -> 0.4
ddrmn017 remaindernear 2.400 2 -> 0.400
ddrmn018 remaindernear 2. 2 -> 0
ddrmn019 remaindernear 20 20 -> 0
ddrmn020 remaindernear 187 187 -> 0
ddrmn021 remaindernear 5 2 -> 1
ddrmn022 remaindernear 5 2.0 -> 1.0
ddrmn023 remaindernear 5 2.000 -> 1.000
ddrmn024 remaindernear 5 0.200 -> 0.000
ddrmn025 remaindernear 5 0.200 -> 0.000
ddrmn030 remaindernear 1 2 -> 1
ddrmn031 remaindernear 1 4 -> 1
ddrmn032 remaindernear 1 8 -> 1
ddrmn033 remaindernear 1 16 -> 1
ddrmn034 remaindernear 1 32 -> 1
ddrmn035 remaindernear 1 64 -> 1
ddrmn040 remaindernear 1 -2 -> 1
ddrmn041 remaindernear 1 -4 -> 1
ddrmn042 remaindernear 1 -8 -> 1
ddrmn043 remaindernear 1 -16 -> 1
ddrmn044 remaindernear 1 -32 -> 1
ddrmn045 remaindernear 1 -64 -> 1
ddrmn050 remaindernear -1 2 -> -1
ddrmn051 remaindernear -1 4 -> -1
ddrmn052 remaindernear -1 8 -> -1
ddrmn053 remaindernear -1 16 -> -1
ddrmn054 remaindernear -1 32 -> -1
ddrmn055 remaindernear -1 64 -> -1
ddrmn060 remaindernear -1 -2 -> -1
ddrmn061 remaindernear -1 -4 -> -1
ddrmn062 remaindernear -1 -8 -> -1
ddrmn063 remaindernear -1 -16 -> -1
ddrmn064 remaindernear -1 -32 -> -1
ddrmn065 remaindernear -1 -64 -> -1
ddrmn066 remaindernear 9.9 1 -> -0.1
ddrmn067 remaindernear 99.7 1 -> -0.3
ddrmn068 remaindernear 999999999 1 -> 0
ddrmn069 remaindernear 999999999.4 1 -> 0.4
ddrmn070 remaindernear 999999999.5 1 -> -0.5
ddrmn071 remaindernear 999999999.9 1 -> -0.1
ddrmn072 remaindernear 999999999.999 1 -> -0.001
ddrmn073 remaindernear 999999.999999 1 -> -0.000001
ddrmn074 remaindernear 9 1 -> 0
ddrmn075 remaindernear 9999999999999999 1 -> 0
ddrmn076 remaindernear 9999999999999999 2 -> -1
ddrmn077 remaindernear 9999999999999999 3 -> 0
ddrmn078 remaindernear 9999999999999999 4 -> -1
ddrmn080 remaindernear 0. 1 -> 0
ddrmn081 remaindernear .0 1 -> 0.0
ddrmn082 remaindernear 0.00 1 -> 0.00
ddrmn083 remaindernear 0.00E+9 1 -> 0
ddrmn084 remaindernear 0.00E+3 1 -> 0
ddrmn085 remaindernear 0.00E+2 1 -> 0
ddrmn086 remaindernear 0.00E+1 1 -> 0.0
ddrmn087 remaindernear 0.00E+0 1 -> 0.00
ddrmn088 remaindernear 0.00E-0 1 -> 0.00
ddrmn089 remaindernear 0.00E-1 1 -> 0.000
ddrmn090 remaindernear 0.00E-2 1 -> 0.0000
ddrmn091 remaindernear 0.00E-3 1 -> 0.00000
ddrmn092 remaindernear 0.00E-4 1 -> 0.000000
ddrmn093 remaindernear 0.00E-5 1 -> 0E-7
ddrmn094 remaindernear 0.00E-6 1 -> 0E-8
ddrmn095 remaindernear 0.0000E-50 1 -> 0E-54
-- Various flavours of remaindernear by 0
ddrmn101 remaindernear 0 0 -> NaN Division_undefined
ddrmn102 remaindernear 0 -0 -> NaN Division_undefined
ddrmn103 remaindernear -0 0 -> NaN Division_undefined
ddrmn104 remaindernear -0 -0 -> NaN Division_undefined
ddrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined
ddrmn106 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]
ddrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation
ddrmn108 remaindernear 0.01 0 -> NaN Invalid_operation
ddrmn109 remaindernear 0.1 0 -> NaN Invalid_operation
ddrmn110 remaindernear 1 0 -> NaN Invalid_operation
ddrmn111 remaindernear 1 0.0 -> NaN Invalid_operation
ddrmn112 remaindernear 10 0.0 -> NaN Invalid_operation
ddrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation
ddrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation
ddrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation
ddrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation
ddrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation
ddrmn120 remaindernear 1 -0 -> NaN Invalid_operation
ddrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation
ddrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation
ddrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation
ddrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation
-- and zeros on left
ddrmn130 remaindernear 0 1 -> 0
ddrmn131 remaindernear 0 -1 -> 0
ddrmn132 remaindernear 0.0 1 -> 0.0
ddrmn133 remaindernear 0.0 -1 -> 0.0
ddrmn134 remaindernear -0 1 -> -0
ddrmn135 remaindernear -0 -1 -> -0
ddrmn136 remaindernear -0.0 1 -> -0.0
ddrmn137 remaindernear -0.0 -1 -> -0.0
-- 0.5ers
ddrmn143 remaindernear 0.5 2 -> 0.5
ddrmn144 remaindernear 0.5 2.1 -> 0.5
ddrmn145 remaindernear 0.5 2.01 -> 0.50
ddrmn146 remaindernear 0.5 2.001 -> 0.500
ddrmn147 remaindernear 0.50 2 -> 0.50
ddrmn148 remaindernear 0.50 2.01 -> 0.50
ddrmn149 remaindernear 0.50 2.001 -> 0.500
-- steadies
ddrmn150 remaindernear 1 1 -> 0
ddrmn151 remaindernear 1 2 -> 1
ddrmn152 remaindernear 1 3 -> 1
ddrmn153 remaindernear 1 4 -> 1
ddrmn154 remaindernear 1 5 -> 1
ddrmn155 remaindernear 1 6 -> 1
ddrmn156 remaindernear 1 7 -> 1
ddrmn157 remaindernear 1 8 -> 1
ddrmn158 remaindernear 1 9 -> 1
ddrmn159 remaindernear 1 10 -> 1
ddrmn160 remaindernear 1 1 -> 0
ddrmn161 remaindernear 2 1 -> 0
ddrmn162 remaindernear 3 1 -> 0
ddrmn163 remaindernear 4 1 -> 0
ddrmn164 remaindernear 5 1 -> 0
ddrmn165 remaindernear 6 1 -> 0
ddrmn166 remaindernear 7 1 -> 0
ddrmn167 remaindernear 8 1 -> 0
ddrmn168 remaindernear 9 1 -> 0
ddrmn169 remaindernear 10 1 -> 0
-- some differences from remainder
ddrmn171 remaindernear 0.4 1.020 -> 0.400
ddrmn172 remaindernear 0.50 1.020 -> 0.500
ddrmn173 remaindernear 0.51 1.020 -> 0.510
ddrmn174 remaindernear 0.52 1.020 -> -0.500
ddrmn175 remaindernear 0.6 1.020 -> -0.420
-- More flavours of remaindernear by 0
ddrmn201 remaindernear 0 0 -> NaN Division_undefined
ddrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined
ddrmn203 remaindernear 0.000 0 -> NaN Division_undefined
ddrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation
ddrmn205 remaindernear 0.01 0 -> NaN Invalid_operation
ddrmn206 remaindernear 0.1 0 -> NaN Invalid_operation
ddrmn207 remaindernear 1 0 -> NaN Invalid_operation
ddrmn208 remaindernear 1 0.0 -> NaN Invalid_operation
ddrmn209 remaindernear 10 0.0 -> NaN Invalid_operation
ddrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation
ddrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation
-- tests from the extended specification
ddrmn221 remaindernear 2.1 3 -> -0.9
ddrmn222 remaindernear 10 6 -> -2
ddrmn223 remaindernear 10 3 -> 1
ddrmn224 remaindernear -10 3 -> -1
ddrmn225 remaindernear 10.2 1 -> 0.2
ddrmn226 remaindernear 10 0.3 -> 0.1
ddrmn227 remaindernear 3.6 1.3 -> -0.3
-- some differences from remainder
ddrmn231 remaindernear -0.4 1.020 -> -0.400
ddrmn232 remaindernear -0.50 1.020 -> -0.500
ddrmn233 remaindernear -0.51 1.020 -> -0.510
ddrmn234 remaindernear -0.52 1.020 -> 0.500
ddrmn235 remaindernear -0.6 1.020 -> 0.420
-- high Xs
ddrmn240 remaindernear 1E+2 1.00 -> 0.00
-- ddrmn3xx are from DiagBigDecimal
ddrmn301 remaindernear 1 3 -> 1
ddrmn302 remaindernear 5 5 -> 0
ddrmn303 remaindernear 13 10 -> 3
ddrmn304 remaindernear 13 50 -> 13
ddrmn305 remaindernear 13 100 -> 13
ddrmn306 remaindernear 13 1000 -> 13
ddrmn307 remaindernear .13 1 -> 0.13
ddrmn308 remaindernear 0.133 1 -> 0.133
ddrmn309 remaindernear 0.1033 1 -> 0.1033
ddrmn310 remaindernear 1.033 1 -> 0.033
ddrmn311 remaindernear 10.33 1 -> 0.33
ddrmn312 remaindernear 10.33 10 -> 0.33
ddrmn313 remaindernear 103.3 1 -> 0.3
ddrmn314 remaindernear 133 10 -> 3
ddrmn315 remaindernear 1033 10 -> 3
ddrmn316 remaindernear 1033 50 -> -17
ddrmn317 remaindernear 101.0 3 -> -1.0
ddrmn318 remaindernear 102.0 3 -> 0.0
ddrmn319 remaindernear 103.0 3 -> 1.0
ddrmn320 remaindernear 2.40 1 -> 0.40
ddrmn321 remaindernear 2.400 1 -> 0.400
ddrmn322 remaindernear 2.4 1 -> 0.4
ddrmn323 remaindernear 2.4 2 -> 0.4
ddrmn324 remaindernear 2.400 2 -> 0.400
ddrmn325 remaindernear 1 0.3 -> 0.1
ddrmn326 remaindernear 1 0.30 -> 0.10
ddrmn327 remaindernear 1 0.300 -> 0.100
ddrmn328 remaindernear 1 0.3000 -> 0.1000
ddrmn329 remaindernear 1.0 0.3 -> 0.1
ddrmn330 remaindernear 1.00 0.3 -> 0.10
ddrmn331 remaindernear 1.000 0.3 -> 0.100
ddrmn332 remaindernear 1.0000 0.3 -> 0.1000
ddrmn333 remaindernear 0.5 2 -> 0.5
ddrmn334 remaindernear 0.5 2.1 -> 0.5
ddrmn335 remaindernear 0.5 2.01 -> 0.50
ddrmn336 remaindernear 0.5 2.001 -> 0.500
ddrmn337 remaindernear 0.50 2 -> 0.50
ddrmn338 remaindernear 0.50 2.01 -> 0.50
ddrmn339 remaindernear 0.50 2.001 -> 0.500
ddrmn340 remaindernear 0.5 0.5000001 -> -1E-7
ddrmn341 remaindernear 0.5 0.50000001 -> -1E-8
ddrmn342 remaindernear 0.5 0.500000001 -> -1E-9
ddrmn343 remaindernear 0.5 0.5000000001 -> -1E-10
ddrmn344 remaindernear 0.5 0.50000000001 -> -1E-11
ddrmn345 remaindernear 0.5 0.4999999 -> 1E-7
ddrmn346 remaindernear 0.5 0.49999999 -> 1E-8
ddrmn347 remaindernear 0.5 0.499999999 -> 1E-9
ddrmn348 remaindernear 0.5 0.4999999999 -> 1E-10
ddrmn349 remaindernear 0.5 0.49999999999 -> 1E-11
ddrmn350 remaindernear 0.5 0.499999999999 -> 1E-12
ddrmn351 remaindernear 0.03 7 -> 0.03
ddrmn352 remaindernear 5 2 -> 1
ddrmn353 remaindernear 4.1 2 -> 0.1
ddrmn354 remaindernear 4.01 2 -> 0.01
ddrmn355 remaindernear 4.001 2 -> 0.001
ddrmn356 remaindernear 4.0001 2 -> 0.0001
ddrmn357 remaindernear 4.00001 2 -> 0.00001
ddrmn358 remaindernear 4.000001 2 -> 0.000001
ddrmn359 remaindernear 4.0000001 2 -> 1E-7
ddrmn360 remaindernear 1.2 0.7345 -> -0.2690
ddrmn361 remaindernear 0.8 12 -> 0.8
ddrmn362 remaindernear 0.8 0.2 -> 0.0
ddrmn363 remaindernear 0.8 0.3 -> -0.1
ddrmn364 remaindernear 0.800 12 -> 0.800
ddrmn365 remaindernear 0.800 1.7 -> 0.800
ddrmn366 remaindernear 2.400 2 -> 0.400
-- round to even
ddrmn371 remaindernear 121 2 -> 1
ddrmn372 remaindernear 122 2 -> 0
ddrmn373 remaindernear 123 2 -> -1
ddrmn374 remaindernear 124 2 -> 0
ddrmn375 remaindernear 125 2 -> 1
ddrmn376 remaindernear 126 2 -> 0
ddrmn377 remaindernear 127 2 -> -1
ddrmn381 remaindernear 12345 1 -> 0
ddrmn382 remaindernear 12345 1.0001 -> -0.2344
ddrmn383 remaindernear 12345 1.001 -> -0.333
ddrmn384 remaindernear 12345 1.01 -> -0.23
ddrmn385 remaindernear 12345 1.1 -> -0.3
ddrmn386 remaindernear 12355 4 -> -1
ddrmn387 remaindernear 12345 4 -> 1
ddrmn388 remaindernear 12355 4.0001 -> -1.3089
ddrmn389 remaindernear 12345 4.0001 -> 0.6914
ddrmn390 remaindernear 12345 4.9 -> 1.9
ddrmn391 remaindernear 12345 4.99 -> -0.26
ddrmn392 remaindernear 12345 4.999 -> 2.469
ddrmn393 remaindernear 12345 4.9999 -> 0.2469
ddrmn394 remaindernear 12345 5 -> 0
ddrmn395 remaindernear 12345 5.0001 -> -0.2469
ddrmn396 remaindernear 12345 5.001 -> -2.469
ddrmn397 remaindernear 12345 5.01 -> 0.36
ddrmn398 remaindernear 12345 5.1 -> -2.1
-- the nasty division-by-1 cases
ddrmn401 remaindernear 0.4 1 -> 0.4
ddrmn402 remaindernear 0.45 1 -> 0.45
ddrmn403 remaindernear 0.455 1 -> 0.455
ddrmn404 remaindernear 0.4555 1 -> 0.4555
ddrmn405 remaindernear 0.45555 1 -> 0.45555
ddrmn406 remaindernear 0.455555 1 -> 0.455555
ddrmn407 remaindernear 0.4555555 1 -> 0.4555555
ddrmn408 remaindernear 0.45555555 1 -> 0.45555555
ddrmn409 remaindernear 0.455555555 1 -> 0.455555555
-- with spill... [412 exercises sticktab loop]
ddrmn411 remaindernear 0.5 1 -> 0.5
ddrmn412 remaindernear 0.55 1 -> -0.45
ddrmn413 remaindernear 0.555 1 -> -0.445
ddrmn414 remaindernear 0.5555 1 -> -0.4445
ddrmn415 remaindernear 0.55555 1 -> -0.44445
ddrmn416 remaindernear 0.555555 1 -> -0.444445
ddrmn417 remaindernear 0.5555555 1 -> -0.4444445
ddrmn418 remaindernear 0.55555555 1 -> -0.44444445
ddrmn419 remaindernear 0.555555555 1 -> -0.444444445
-- folddowns
ddrmn421 remaindernear 1E+384 1 -> NaN Division_impossible
ddrmn422 remaindernear 1E+384 1E+383 -> 0E+369 Clamped
ddrmn423 remaindernear 1E+384 2E+383 -> 0E+369 Clamped
ddrmn424 remaindernear 1E+384 3E+383 -> 1.00000000000000E+383 Clamped
ddrmn425 remaindernear 1E+384 4E+383 -> 2.00000000000000E+383 Clamped
ddrmn426 remaindernear 1E+384 5E+383 -> 0E+369 Clamped
ddrmn427 remaindernear 1E+384 6E+383 -> -2.00000000000000E+383 Clamped
ddrmn428 remaindernear 1E+384 7E+383 -> 3.00000000000000E+383 Clamped
ddrmn429 remaindernear 1E+384 8E+383 -> 2.00000000000000E+383 Clamped
ddrmn430 remaindernear 1E+384 9E+383 -> 1.00000000000000E+383 Clamped
-- tinies
ddrmn431 remaindernear 1E-397 1E-398 -> 0E-398
ddrmn432 remaindernear 1E-397 2E-398 -> 0E-398
ddrmn433 remaindernear 1E-397 3E-398 -> 1E-398 Subnormal
ddrmn434 remaindernear 1E-397 4E-398 -> 2E-398 Subnormal
ddrmn435 remaindernear 1E-397 5E-398 -> 0E-398
ddrmn436 remaindernear 1E-397 6E-398 -> -2E-398 Subnormal
ddrmn437 remaindernear 1E-397 7E-398 -> 3E-398 Subnormal
ddrmn438 remaindernear 1E-397 8E-398 -> 2E-398 Subnormal
ddrmn439 remaindernear 1E-397 9E-398 -> 1E-398 Subnormal
ddrmn440 remaindernear 1E-397 10E-398 -> 0E-398
ddrmn441 remaindernear 1E-397 11E-398 -> -1E-398 Subnormal
ddrmn442 remaindernear 100E-397 11E-398 -> -1E-398 Subnormal
ddrmn443 remaindernear 100E-397 20E-398 -> 0E-398
ddrmn444 remaindernear 100E-397 21E-398 -> -8E-398 Subnormal
ddrmn445 remaindernear 100E-397 30E-398 -> 1.0E-397 Subnormal
-- zero signs
ddrmn650 remaindernear 1 1 -> 0
ddrmn651 remaindernear -1 1 -> -0
ddrmn652 remaindernear 1 -1 -> 0
ddrmn653 remaindernear -1 -1 -> -0
ddrmn654 remaindernear 0 1 -> 0
ddrmn655 remaindernear -0 1 -> -0
ddrmn656 remaindernear 0 -1 -> 0
ddrmn657 remaindernear -0 -1 -> -0
ddrmn658 remaindernear 0.00 1 -> 0.00
ddrmn659 remaindernear -0.00 1 -> -0.00
-- Specials
ddrmn680 remaindernear Inf -Inf -> NaN Invalid_operation
ddrmn681 remaindernear Inf -1000 -> NaN Invalid_operation
ddrmn682 remaindernear Inf -1 -> NaN Invalid_operation
ddrmn683 remaindernear Inf 0 -> NaN Invalid_operation
ddrmn684 remaindernear Inf -0 -> NaN Invalid_operation
ddrmn685 remaindernear Inf 1 -> NaN Invalid_operation
ddrmn686 remaindernear Inf 1000 -> NaN Invalid_operation
ddrmn687 remaindernear Inf Inf -> NaN Invalid_operation
ddrmn688 remaindernear -1000 Inf -> -1000
ddrmn689 remaindernear -Inf Inf -> NaN Invalid_operation
ddrmn691 remaindernear -1 Inf -> -1
ddrmn692 remaindernear 0 Inf -> 0
ddrmn693 remaindernear -0 Inf -> -0
ddrmn694 remaindernear 1 Inf -> 1
ddrmn695 remaindernear 1000 Inf -> 1000
ddrmn696 remaindernear Inf Inf -> NaN Invalid_operation
ddrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation
ddrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation
ddrmn702 remaindernear -Inf -1 -> NaN Invalid_operation
ddrmn703 remaindernear -Inf -0 -> NaN Invalid_operation
ddrmn704 remaindernear -Inf 0 -> NaN Invalid_operation
ddrmn705 remaindernear -Inf 1 -> NaN Invalid_operation
ddrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation
ddrmn707 remaindernear -Inf Inf -> NaN Invalid_operation
ddrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation
ddrmn709 remaindernear -1000 Inf -> -1000
ddrmn710 remaindernear -1 -Inf -> -1
ddrmn711 remaindernear -0 -Inf -> -0
ddrmn712 remaindernear 0 -Inf -> 0
ddrmn713 remaindernear 1 -Inf -> 1
ddrmn714 remaindernear 1000 -Inf -> 1000
ddrmn715 remaindernear Inf -Inf -> NaN Invalid_operation
ddrmn721 remaindernear NaN -Inf -> NaN
ddrmn722 remaindernear NaN -1000 -> NaN
ddrmn723 remaindernear NaN -1 -> NaN
ddrmn724 remaindernear NaN -0 -> NaN
ddrmn725 remaindernear -NaN 0 -> -NaN
ddrmn726 remaindernear NaN 1 -> NaN
ddrmn727 remaindernear NaN 1000 -> NaN
ddrmn728 remaindernear NaN Inf -> NaN
ddrmn729 remaindernear NaN -NaN -> NaN
ddrmn730 remaindernear -Inf NaN -> NaN
ddrmn731 remaindernear -1000 NaN -> NaN
ddrmn732 remaindernear -1 NaN -> NaN
ddrmn733 remaindernear -0 -NaN -> -NaN
ddrmn734 remaindernear 0 NaN -> NaN
ddrmn735 remaindernear 1 -NaN -> -NaN
ddrmn736 remaindernear 1000 NaN -> NaN
ddrmn737 remaindernear Inf NaN -> NaN
ddrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation
ddrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation
ddrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation
ddrmn744 remaindernear sNaN -0 -> NaN Invalid_operation
ddrmn745 remaindernear sNaN 0 -> NaN Invalid_operation
ddrmn746 remaindernear sNaN 1 -> NaN Invalid_operation
ddrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation
ddrmn749 remaindernear sNaN NaN -> NaN Invalid_operation
ddrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation
ddrmn751 remaindernear NaN sNaN -> NaN Invalid_operation
ddrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation
ddrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation
ddrmn754 remaindernear -1 sNaN -> NaN Invalid_operation
ddrmn755 remaindernear -0 sNaN -> NaN Invalid_operation
ddrmn756 remaindernear 0 sNaN -> NaN Invalid_operation
ddrmn757 remaindernear 1 sNaN -> NaN Invalid_operation
ddrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation
ddrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation
-- propaging NaNs
ddrmn760 remaindernear NaN1 NaN7 -> NaN1
ddrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation
ddrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation
ddrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation
ddrmn764 remaindernear 15 NaN11 -> NaN11
ddrmn765 remaindernear NaN6 NaN12 -> NaN6
ddrmn766 remaindernear Inf NaN13 -> NaN13
ddrmn767 remaindernear NaN14 -Inf -> NaN14
ddrmn768 remaindernear 0 NaN15 -> NaN15
ddrmn769 remaindernear NaN16 -0 -> NaN16
-- edge cases of impossible
ddrmn770 remaindernear 1234567890123456 10 -> -4
ddrmn771 remaindernear 1234567890123456 1 -> 0
ddrmn772 remaindernear 1234567890123456 0.1 -> NaN Division_impossible
ddrmn773 remaindernear 1234567890123456 0.01 -> NaN Division_impossible
-- long operand checks
ddrmn801 remaindernear 12345678000 100 -> 0
ddrmn802 remaindernear 1 12345678000 -> 1
ddrmn803 remaindernear 1234567800 10 -> 0
ddrmn804 remaindernear 1 1234567800 -> 1
ddrmn805 remaindernear 1234567890 10 -> 0
ddrmn806 remaindernear 1 1234567890 -> 1
ddrmn807 remaindernear 1234567891 10 -> 1
ddrmn808 remaindernear 1 1234567891 -> 1
ddrmn809 remaindernear 12345678901 100 -> 1
ddrmn810 remaindernear 1 12345678901 -> 1
ddrmn811 remaindernear 1234567896 10 -> -4
ddrmn812 remaindernear 1 1234567896 -> 1
ddrmn821 remaindernear 12345678000 100 -> 0
ddrmn822 remaindernear 1 12345678000 -> 1
ddrmn823 remaindernear 1234567800 10 -> 0
ddrmn824 remaindernear 1 1234567800 -> 1
ddrmn825 remaindernear 1234567890 10 -> 0
ddrmn826 remaindernear 1 1234567890 -> 1
ddrmn827 remaindernear 1234567891 10 -> 1
ddrmn828 remaindernear 1 1234567891 -> 1
ddrmn829 remaindernear 12345678901 100 -> 1
ddrmn830 remaindernear 1 12345678901 -> 1
ddrmn831 remaindernear 1234567896 10 -> -4
ddrmn832 remaindernear 1 1234567896 -> 1
-- from divideint
ddrmn840 remaindernear 100000000.0 1 -> 0.0
ddrmn841 remaindernear 100000000.4 1 -> 0.4
ddrmn842 remaindernear 100000000.5 1 -> 0.5
ddrmn843 remaindernear 100000000.9 1 -> -0.1
ddrmn844 remaindernear 100000000.999 1 -> -0.001
ddrmn850 remaindernear 100000003 5 -> -2
ddrmn851 remaindernear 10000003 5 -> -2
ddrmn852 remaindernear 1000003 5 -> -2
ddrmn853 remaindernear 100003 5 -> -2
ddrmn854 remaindernear 10003 5 -> -2
ddrmn855 remaindernear 1003 5 -> -2
ddrmn856 remaindernear 103 5 -> -2
ddrmn857 remaindernear 13 5 -> -2
ddrmn858 remaindernear 1 5 -> 1
-- Vladimir's cases 1234567890123456
ddrmn860 remaindernear 123.0e1 1000000000000000 -> 1230
ddrmn861 remaindernear 1230 1000000000000000 -> 1230
ddrmn862 remaindernear 12.3e2 1000000000000000 -> 1230
ddrmn863 remaindernear 1.23e3 1000000000000000 -> 1230
ddrmn864 remaindernear 123e1 1000000000000000 -> 1230
ddrmn870 remaindernear 123e1 1000000000000000 -> 1230
ddrmn871 remaindernear 123e1 100000000000000 -> 1230
ddrmn872 remaindernear 123e1 10000000000000 -> 1230
ddrmn873 remaindernear 123e1 1000000000000 -> 1230
ddrmn874 remaindernear 123e1 100000000000 -> 1230
ddrmn875 remaindernear 123e1 10000000000 -> 1230
ddrmn876 remaindernear 123e1 1000000000 -> 1230
ddrmn877 remaindernear 123e1 100000000 -> 1230
ddrmn878 remaindernear 1230 100000000 -> 1230
ddrmn879 remaindernear 123e1 10000000 -> 1230
ddrmn880 remaindernear 123e1 1000000 -> 1230
ddrmn881 remaindernear 123e1 100000 -> 1230
ddrmn882 remaindernear 123e1 10000 -> 1230
ddrmn883 remaindernear 123e1 1000 -> 230
ddrmn884 remaindernear 123e1 100 -> 30
ddrmn885 remaindernear 123e1 10 -> 0
ddrmn886 remaindernear 123e1 1 -> 0
ddrmn890 remaindernear 123e1 2000000000000000 -> 1230
ddrmn891 remaindernear 123e1 200000000000000 -> 1230
ddrmn892 remaindernear 123e1 20000000000000 -> 1230
ddrmn893 remaindernear 123e1 2000000000000 -> 1230
ddrmn894 remaindernear 123e1 200000000000 -> 1230
ddrmn895 remaindernear 123e1 20000000000 -> 1230
ddrmn896 remaindernear 123e1 2000000000 -> 1230
ddrmn897 remaindernear 123e1 200000000 -> 1230
ddrmn899 remaindernear 123e1 20000000 -> 1230
ddrmn900 remaindernear 123e1 2000000 -> 1230
ddrmn901 remaindernear 123e1 200000 -> 1230
ddrmn902 remaindernear 123e1 20000 -> 1230
ddrmn903 remaindernear 123e1 2000 -> -770
ddrmn904 remaindernear 123e1 200 -> 30
ddrmn905 remaindernear 123e1 20 -> -10
ddrmn906 remaindernear 123e1 2 -> 0
ddrmn910 remaindernear 123e1 5000000000000000 -> 1230
ddrmn911 remaindernear 123e1 500000000000000 -> 1230
ddrmn912 remaindernear 123e1 50000000000000 -> 1230
ddrmn913 remaindernear 123e1 5000000000000 -> 1230
ddrmn914 remaindernear 123e1 500000000000 -> 1230
ddrmn915 remaindernear 123e1 50000000000 -> 1230
ddrmn916 remaindernear 123e1 5000000000 -> 1230
ddrmn917 remaindernear 123e1 500000000 -> 1230
ddrmn919 remaindernear 123e1 50000000 -> 1230
ddrmn920 remaindernear 123e1 5000000 -> 1230
ddrmn921 remaindernear 123e1 500000 -> 1230
ddrmn922 remaindernear 123e1 50000 -> 1230
ddrmn923 remaindernear 123e1 5000 -> 1230
ddrmn924 remaindernear 123e1 500 -> 230
ddrmn925 remaindernear 123e1 50 -> -20
ddrmn926 remaindernear 123e1 5 -> 0
ddrmn930 remaindernear 123e1 9000000000000000 -> 1230
ddrmn931 remaindernear 123e1 900000000000000 -> 1230
ddrmn932 remaindernear 123e1 90000000000000 -> 1230
ddrmn933 remaindernear 123e1 9000000000000 -> 1230
ddrmn934 remaindernear 123e1 900000000000 -> 1230
ddrmn935 remaindernear 123e1 90000000000 -> 1230
ddrmn936 remaindernear 123e1 9000000000 -> 1230
ddrmn937 remaindernear 123e1 900000000 -> 1230
ddrmn939 remaindernear 123e1 90000000 -> 1230
ddrmn940 remaindernear 123e1 9000000 -> 1230
ddrmn941 remaindernear 123e1 900000 -> 1230
ddrmn942 remaindernear 123e1 90000 -> 1230
ddrmn943 remaindernear 123e1 9000 -> 1230
ddrmn944 remaindernear 123e1 900 -> 330
ddrmn945 remaindernear 123e1 90 -> -30
ddrmn946 remaindernear 123e1 9 -> -3
ddrmn950 remaindernear 123e1 1000000000000000 -> 1230
ddrmn961 remaindernear 123e1 2999999999999999 -> 1230
ddrmn962 remaindernear 123e1 3999999999999999 -> 1230
ddrmn963 remaindernear 123e1 4999999999999999 -> 1230
ddrmn964 remaindernear 123e1 5999999999999999 -> 1230
ddrmn965 remaindernear 123e1 6999999999999999 -> 1230
ddrmn966 remaindernear 123e1 7999999999999999 -> 1230
ddrmn967 remaindernear 123e1 8999999999999999 -> 1230
ddrmn968 remaindernear 123e1 9999999999999999 -> 1230
ddrmn969 remaindernear 123e1 9876543210987654 -> 1230
ddrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
-- overflow and underflow tests [from divide]
ddrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible
ddrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible
ddrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible
ddrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible
ddrmn1055 remaindernear 1e-277 1e+311 -> 1E-277
ddrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277
ddrmn1057 remaindernear -1e-277 1e+311 -> -1E-277
ddrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277
-- destructive subtract
ddrmn1100 remainderNear 1234567890123456 1.000000000000001 -> -0.234567890123455
ddrmn1101 remainderNear 1234567890123456 1.00000000000001 -> -0.34567890123444
ddrmn1102 remainderNear 1234567890123456 1.0000000000001 -> -0.4567890123333
ddrmn1103 remainderNear 1234567890123455 4.000000000000001 -> -1.308641972530864
ddrmn1104 remainderNear 1234567890123456 4.000000000000001 -> -0.308641972530864
ddrmn1115 remainderNear 1234567890123456 4.9999999999999 -> 0.6913578024696
ddrmn1116 remainderNear 1234567890123456 4.99999999999999 -> -1.53086421975308
ddrmn1117 remainderNear 1234567890123456 4.999999999999999 -> 1.246913578024691
ddrmn1118 remainderNear 1234567890123456 5.000000000000001 -> 0.753086421975309
ddrmn1119 remainderNear 1234567890123456 5.00000000000001 -> -1.46913578024691
ddrmn1110 remainderNear 1234567890123456 5.0000000000001 -> 1.3086421975314
-- Null tests
ddrmn1000 remaindernear 10 # -> NaN Invalid_operation
ddrmn1001 remaindernear # 10 -> NaN Invalid_operation
