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cpython/Lib/test/decimaltestdata/remainderNear.decTest
algonell 9017b95ff2
Fix typos (#123775)
2024-09-09 14:58:26 +02:00

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------------------------------------------------------------------------
-- remainderNear.decTest -- decimal remainder-near (IEEE remainder) --
-- 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
precision: 9
rounding: half_up
maxExponent: 384
minexponent: -383
rmnx001 remaindernear 1 1 -> 0
rmnx002 remaindernear 2 1 -> 0
rmnx003 remaindernear 1 2 -> 1
rmnx004 remaindernear 2 2 -> 0
rmnx005 remaindernear 0 1 -> 0
rmnx006 remaindernear 0 2 -> 0
rmnx007 remaindernear 1 3 -> 1
rmnx008 remaindernear 2 3 -> -1
rmnx009 remaindernear 3 3 -> 0
rmnx010 remaindernear 2.4 1 -> 0.4
rmnx011 remaindernear 2.4 -1 -> 0.4
rmnx012 remaindernear -2.4 1 -> -0.4
rmnx013 remaindernear -2.4 -1 -> -0.4
rmnx014 remaindernear 2.40 1 -> 0.40
rmnx015 remaindernear 2.400 1 -> 0.400
rmnx016 remaindernear 2.4 2 -> 0.4
rmnx017 remaindernear 2.400 2 -> 0.400
rmnx018 remaindernear 2. 2 -> 0
rmnx019 remaindernear 20 20 -> 0
rmnx020 remaindernear 187 187 -> 0
rmnx021 remaindernear 5 2 -> 1
rmnx022 remaindernear 5 2.0 -> 1.0
rmnx023 remaindernear 5 2.000 -> 1.000
rmnx024 remaindernear 5 0.200 -> 0.000
rmnx025 remaindernear 5 0.200 -> 0.000
rmnx030 remaindernear 1 2 -> 1
rmnx031 remaindernear 1 4 -> 1
rmnx032 remaindernear 1 8 -> 1
rmnx033 remaindernear 1 16 -> 1
rmnx034 remaindernear 1 32 -> 1
rmnx035 remaindernear 1 64 -> 1
rmnx040 remaindernear 1 -2 -> 1
rmnx041 remaindernear 1 -4 -> 1
rmnx042 remaindernear 1 -8 -> 1
rmnx043 remaindernear 1 -16 -> 1
rmnx044 remaindernear 1 -32 -> 1
rmnx045 remaindernear 1 -64 -> 1
rmnx050 remaindernear -1 2 -> -1
rmnx051 remaindernear -1 4 -> -1
rmnx052 remaindernear -1 8 -> -1
rmnx053 remaindernear -1 16 -> -1
rmnx054 remaindernear -1 32 -> -1
rmnx055 remaindernear -1 64 -> -1
rmnx060 remaindernear -1 -2 -> -1
rmnx061 remaindernear -1 -4 -> -1
rmnx062 remaindernear -1 -8 -> -1
rmnx063 remaindernear -1 -16 -> -1
rmnx064 remaindernear -1 -32 -> -1
rmnx065 remaindernear -1 -64 -> -1
rmnx066 remaindernear 999999997 1 -> 0
rmnx067 remaindernear 999999997.4 1 -> 0.4
rmnx068 remaindernear 999999997.5 1 -> -0.5
rmnx069 remaindernear 999999997.9 1 -> -0.1
rmnx070 remaindernear 999999997.999 1 -> -0.001
rmnx071 remaindernear 999999998 1 -> 0
rmnx072 remaindernear 999999998.4 1 -> 0.4
rmnx073 remaindernear 999999998.5 1 -> 0.5
rmnx074 remaindernear 999999998.9 1 -> -0.1
rmnx075 remaindernear 999999998.999 1 -> -0.001
rmnx076 remaindernear 999999999 1 -> 0
rmnx077 remaindernear 999999999.4 1 -> 0.4
rmnx078 remaindernear 999999999.5 1 -> NaN Division_impossible
rmnx079 remaindernear 999999999.9 1 -> NaN Division_impossible
rmnx080 remaindernear 999999999.999 1 -> NaN Division_impossible
precision: 6
rmnx081 remaindernear 999999999 1 -> NaN Division_impossible
rmnx082 remaindernear 99999999 1 -> NaN Division_impossible
rmnx083 remaindernear 9999999 1 -> NaN Division_impossible
rmnx084 remaindernear 999999 1 -> 0
rmnx085 remaindernear 99999 1 -> 0
rmnx086 remaindernear 9999 1 -> 0
rmnx087 remaindernear 999 1 -> 0
rmnx088 remaindernear 99 1 -> 0
rmnx089 remaindernear 9 1 -> 0
precision: 9
rmnx090 remaindernear 0. 1 -> 0
rmnx091 remaindernear .0 1 -> 0.0
rmnx092 remaindernear 0.00 1 -> 0.00
rmnx093 remaindernear 0.00E+9 1 -> 0
rmnx094 remaindernear 0.0000E-50 1 -> 0E-54
-- Various flavours of remaindernear by 0
precision: 9
maxexponent: 999999999
minexponent: -999999999
rmnx101 remaindernear 0 0 -> NaN Division_undefined
rmnx102 remaindernear 0 -0 -> NaN Division_undefined
rmnx103 remaindernear -0 0 -> NaN Division_undefined
rmnx104 remaindernear -0 -0 -> NaN Division_undefined
rmnx105 remaindernear 0.0E5 0 -> NaN Division_undefined
rmnx106 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
-- remaindernear-near, anyway]
rmnx107 remaindernear 0.0001 0 -> NaN Invalid_operation
rmnx108 remaindernear 0.01 0 -> NaN Invalid_operation
rmnx109 remaindernear 0.1 0 -> NaN Invalid_operation
rmnx110 remaindernear 1 0 -> NaN Invalid_operation
rmnx111 remaindernear 1 0.0 -> NaN Invalid_operation
rmnx112 remaindernear 10 0.0 -> NaN Invalid_operation
rmnx113 remaindernear 1E+100 0.0 -> NaN Invalid_operation
rmnx114 remaindernear 1E+1000 0 -> NaN Invalid_operation
rmnx115 remaindernear 0.0001 -0 -> NaN Invalid_operation
rmnx116 remaindernear 0.01 -0 -> NaN Invalid_operation
rmnx119 remaindernear 0.1 -0 -> NaN Invalid_operation
rmnx120 remaindernear 1 -0 -> NaN Invalid_operation
rmnx121 remaindernear 1 -0.0 -> NaN Invalid_operation
rmnx122 remaindernear 10 -0.0 -> NaN Invalid_operation
rmnx123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation
rmnx124 remaindernear 1E+1000 -0 -> NaN Invalid_operation
-- and zeros on left
rmnx130 remaindernear 0 1 -> 0
rmnx131 remaindernear 0 -1 -> 0
rmnx132 remaindernear 0.0 1 -> 0.0
rmnx133 remaindernear 0.0 -1 -> 0.0
rmnx134 remaindernear -0 1 -> -0
rmnx135 remaindernear -0 -1 -> -0
rmnx136 remaindernear -0.0 1 -> -0.0
rmnx137 remaindernear -0.0 -1 -> -0.0
-- 0.5ers
rmmx143 remaindernear 0.5 2 -> 0.5
rmmx144 remaindernear 0.5 2.1 -> 0.5
rmmx145 remaindernear 0.5 2.01 -> 0.50
rmmx146 remaindernear 0.5 2.001 -> 0.500
rmmx147 remaindernear 0.50 2 -> 0.50
rmmx148 remaindernear 0.50 2.01 -> 0.50
rmmx149 remaindernear 0.50 2.001 -> 0.500
-- some differences from remainder
rmnx150 remaindernear 0.4 1.020 -> 0.400
rmnx151 remaindernear 0.50 1.020 -> 0.500
rmnx152 remaindernear 0.51 1.020 -> 0.510
rmnx153 remaindernear 0.52 1.020 -> -0.500
rmnx154 remaindernear 0.6 1.020 -> -0.420
rmnx155 remaindernear 0.49 1 -> 0.49
rmnx156 remaindernear 0.50 1 -> 0.50
rmnx157 remaindernear 1.50 1 -> -0.50
rmnx158 remaindernear 2.50 1 -> 0.50
rmnx159 remaindernear 9.50 1 -> -0.50
rmnx160 remaindernear 0.51 1 -> -0.49
-- the nasty division-by-1 cases
rmnx161 remaindernear 0.4 1 -> 0.4
rmnx162 remaindernear 0.45 1 -> 0.45
rmnx163 remaindernear 0.455 1 -> 0.455
rmnx164 remaindernear 0.4555 1 -> 0.4555
rmnx165 remaindernear 0.45555 1 -> 0.45555
rmnx166 remaindernear 0.455555 1 -> 0.455555
rmnx167 remaindernear 0.4555555 1 -> 0.4555555
rmnx168 remaindernear 0.45555555 1 -> 0.45555555
rmnx169 remaindernear 0.455555555 1 -> 0.455555555
-- with spill...
rmnx171 remaindernear 0.5 1 -> 0.5
rmnx172 remaindernear 0.55 1 -> -0.45
rmnx173 remaindernear 0.555 1 -> -0.445
rmnx174 remaindernear 0.5555 1 -> -0.4445
rmnx175 remaindernear 0.55555 1 -> -0.44445
rmnx176 remaindernear 0.555555 1 -> -0.444445
rmnx177 remaindernear 0.5555555 1 -> -0.4444445
rmnx178 remaindernear 0.55555555 1 -> -0.44444445
rmnx179 remaindernear 0.555555555 1 -> -0.444444445
-- progression
rmnx180 remaindernear 1 1 -> 0
rmnx181 remaindernear 1 2 -> 1
rmnx182 remaindernear 1 3 -> 1
rmnx183 remaindernear 1 4 -> 1
rmnx184 remaindernear 1 5 -> 1
rmnx185 remaindernear 1 6 -> 1
rmnx186 remaindernear 1 7 -> 1
rmnx187 remaindernear 1 8 -> 1
rmnx188 remaindernear 1 9 -> 1
rmnx189 remaindernear 1 10 -> 1
rmnx190 remaindernear 1 1 -> 0
rmnx191 remaindernear 2 1 -> 0
rmnx192 remaindernear 3 1 -> 0
rmnx193 remaindernear 4 1 -> 0
rmnx194 remaindernear 5 1 -> 0
rmnx195 remaindernear 6 1 -> 0
rmnx196 remaindernear 7 1 -> 0
rmnx197 remaindernear 8 1 -> 0
rmnx198 remaindernear 9 1 -> 0
rmnx199 remaindernear 10 1 -> 0
-- Various flavours of remaindernear by 0
maxexponent: 999999999
minexponent: -999999999
rmnx201 remaindernear 0 0 -> NaN Division_undefined
rmnx202 remaindernear 0.0E5 0 -> NaN Division_undefined
rmnx203 remaindernear 0.000 0 -> NaN Division_undefined
rmnx204 remaindernear 0.0001 0 -> NaN Invalid_operation
rmnx205 remaindernear 0.01 0 -> NaN Invalid_operation
rmnx206 remaindernear 0.1 0 -> NaN Invalid_operation
rmnx207 remaindernear 1 0 -> NaN Invalid_operation
rmnx208 remaindernear 1 0.0 -> NaN Invalid_operation
rmnx209 remaindernear 10 0.0 -> NaN Invalid_operation
rmnx210 remaindernear 1E+100 0.0 -> NaN Invalid_operation
rmnx211 remaindernear 1E+1000 0 -> NaN Invalid_operation
-- tests from the extended specification
rmnx221 remaindernear 2.1 3 -> -0.9
rmnx222 remaindernear 10 6 -> -2
rmnx223 remaindernear 10 3 -> 1
rmnx224 remaindernear -10 3 -> -1
rmnx225 remaindernear 10.2 1 -> 0.2
rmnx226 remaindernear 10 0.3 -> 0.1
rmnx227 remaindernear 3.6 1.3 -> -0.3
-- some differences from remainder
rmnx231 remaindernear 0.4 1.020 -> 0.400
rmnx232 remaindernear 0.50 1.020 -> 0.500
rmnx233 remaindernear 0.51 1.020 -> 0.510
rmnx234 remaindernear 0.52 1.020 -> -0.500
rmnx235 remaindernear 0.6 1.020 -> -0.420
-- test some cases that are close to exponent overflow
maxexponent: 999999999
minexponent: -999999999
rmnx270 remaindernear 1 1e999999999 -> 1
rmnx271 remaindernear 1 0.9e999999999 -> 1
rmnx272 remaindernear 1 0.99e999999999 -> 1
rmnx273 remaindernear 1 0.999999999e999999999 -> 1
rmnx274 remaindernear 9e999999999 1 -> NaN Division_impossible
rmnx275 remaindernear 9.9e999999999 1 -> NaN Division_impossible
rmnx276 remaindernear 9.99e999999999 1 -> NaN Division_impossible
rmnx277 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible
rmnx280 remaindernear 0.1 9e-999999999 -> NaN Division_impossible
rmnx281 remaindernear 0.1 99e-999999999 -> NaN Division_impossible
rmnx282 remaindernear 0.1 999e-999999999 -> NaN Division_impossible
rmnx283 remaindernear 0.1 9e-999999998 -> NaN Division_impossible
rmnx284 remaindernear 0.1 99e-999999998 -> NaN Division_impossible
rmnx285 remaindernear 0.1 999e-999999998 -> NaN Division_impossible
rmnx286 remaindernear 0.1 999e-999999997 -> NaN Division_impossible
rmnx287 remaindernear 0.1 9999e-999999997 -> NaN Division_impossible
rmnx288 remaindernear 0.1 99999e-999999997 -> NaN Division_impossible
-- rmnx3xx are from DiagBigDecimal
rmnx301 remaindernear 1 3 -> 1
rmnx302 remaindernear 5 5 -> 0
rmnx303 remaindernear 13 10 -> 3
rmnx304 remaindernear 13 50 -> 13
rmnx305 remaindernear 13 100 -> 13
rmnx306 remaindernear 13 1000 -> 13
rmnx307 remaindernear .13 1 -> 0.13
rmnx308 remaindernear 0.133 1 -> 0.133
rmnx309 remaindernear 0.1033 1 -> 0.1033
rmnx310 remaindernear 1.033 1 -> 0.033
rmnx311 remaindernear 10.33 1 -> 0.33
rmnx312 remaindernear 10.33 10 -> 0.33
rmnx313 remaindernear 103.3 1 -> 0.3
rmnx314 remaindernear 133 10 -> 3
rmnx315 remaindernear 1033 10 -> 3
rmnx316 remaindernear 1033 50 -> -17
rmnx317 remaindernear 101.0 3 -> -1.0
rmnx318 remaindernear 102.0 3 -> 0.0
rmnx319 remaindernear 103.0 3 -> 1.0
rmnx320 remaindernear 2.40 1 -> 0.40
rmnx321 remaindernear 2.400 1 -> 0.400
rmnx322 remaindernear 2.4 1 -> 0.4
rmnx323 remaindernear 2.4 2 -> 0.4
rmnx324 remaindernear 2.400 2 -> 0.400
rmnx325 remaindernear 1 0.3 -> 0.1
rmnx326 remaindernear 1 0.30 -> 0.10
rmnx327 remaindernear 1 0.300 -> 0.100
rmnx328 remaindernear 1 0.3000 -> 0.1000
rmnx329 remaindernear 1.0 0.3 -> 0.1
rmnx330 remaindernear 1.00 0.3 -> 0.10
rmnx331 remaindernear 1.000 0.3 -> 0.100
rmnx332 remaindernear 1.0000 0.3 -> 0.1000
rmnx333 remaindernear 0.5 2 -> 0.5
rmnx334 remaindernear 0.5 2.1 -> 0.5
rmnx335 remaindernear 0.5 2.01 -> 0.50
rmnx336 remaindernear 0.5 2.001 -> 0.500
rmnx337 remaindernear 0.50 2 -> 0.50
rmnx338 remaindernear 0.50 2.01 -> 0.50
rmnx339 remaindernear 0.50 2.001 -> 0.500
rmnx340 remaindernear 0.5 0.5000001 -> -1E-7
rmnx341 remaindernear 0.5 0.50000001 -> -1E-8
rmnx342 remaindernear 0.5 0.500000001 -> -1E-9
rmnx343 remaindernear 0.5 0.5000000001 -> -1E-10
rmnx344 remaindernear 0.5 0.50000000001 -> -1E-11
rmnx345 remaindernear 0.5 0.4999999 -> 1E-7
rmnx346 remaindernear 0.5 0.49999999 -> 1E-8
rmnx347 remaindernear 0.5 0.499999999 -> 1E-9
rmnx348 remaindernear 0.5 0.4999999999 -> 1E-10
rmnx349 remaindernear 0.5 0.49999999999 -> 1E-11
rmnx350 remaindernear 0.03 7 -> 0.03
rmnx351 remaindernear 5 2 -> 1
rmnx352 remaindernear 4.1 2 -> 0.1
rmnx353 remaindernear 4.01 2 -> 0.01
rmnx354 remaindernear 4.001 2 -> 0.001
rmnx355 remaindernear 4.0001 2 -> 0.0001
rmnx356 remaindernear 4.00001 2 -> 0.00001
rmnx357 remaindernear 4.000001 2 -> 0.000001
rmnx358 remaindernear 4.0000001 2 -> 1E-7
rmnx360 remaindernear 1.2 0.7345 -> -0.2690
rmnx361 remaindernear 0.8 12 -> 0.8
rmnx362 remaindernear 0.8 0.2 -> 0.0
rmnx363 remaindernear 0.8 0.3 -> -0.1
rmnx364 remaindernear 0.800 12 -> 0.800
rmnx365 remaindernear 0.800 1.7 -> 0.800
rmnx366 remaindernear 2.400 2 -> 0.400
precision: 6
rmnx371 remaindernear 2.400 2 -> 0.400
precision: 3
rmnx372 remaindernear 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded
precision: 5
rmnx381 remaindernear 12345 1 -> 0
rmnx382 remaindernear 12345 1.0001 -> -0.2344
rmnx383 remaindernear 12345 1.001 -> -0.333
rmnx384 remaindernear 12345 1.01 -> -0.23
rmnx385 remaindernear 12345 1.1 -> -0.3
rmnx386 remaindernear 12355 4 -> -1
rmnx387 remaindernear 12345 4 -> 1
rmnx388 remaindernear 12355 4.0001 -> -1.3089
rmnx389 remaindernear 12345 4.0001 -> 0.6914
rmnx390 remaindernear 12345 4.9 -> 1.9
rmnx391 remaindernear 12345 4.99 -> -0.26
rmnx392 remaindernear 12345 4.999 -> 2.469
rmnx393 remaindernear 12345 4.9999 -> 0.2469
rmnx394 remaindernear 12345 5 -> 0
rmnx395 remaindernear 12345 5.0001 -> -0.2469
rmnx396 remaindernear 12345 5.001 -> -2.469
rmnx397 remaindernear 12345 5.01 -> 0.36
rmnx398 remaindernear 12345 5.1 -> -2.1
precision: 9
-- some nasty division-by-1 cases [some similar above]
rmnx401 remaindernear 0.4 1 -> 0.4
rmnx402 remaindernear 0.45 1 -> 0.45
rmnx403 remaindernear 0.455 1 -> 0.455
rmnx404 remaindernear 0.4555 1 -> 0.4555
rmnx405 remaindernear 0.45555 1 -> 0.45555
rmnx406 remaindernear 0.455555 1 -> 0.455555
rmnx407 remaindernear 0.4555555 1 -> 0.4555555
rmnx408 remaindernear 0.45555555 1 -> 0.45555555
rmnx409 remaindernear 0.455555555 1 -> 0.455555555
-- some tricky LHSs
rmnx420 remaindernear 99999999.999999999 1E+8 -> -1E-9
rmnx421 remaindernear 999999999.999999999 1E+9 -> -1E-9
precision: 9
rmnx430 remaindernear 0.455555555 1 -> 0.455555555
precision: 8
rmnx431 remaindernear 0.455555555 1 -> 0.45555556 Inexact Rounded
precision: 7
rmnx432 remaindernear 0.455555555 1 -> 0.4555556 Inexact Rounded
precision: 6
rmnx433 remaindernear 0.455555555 1 -> 0.455556 Inexact Rounded
precision: 5
rmnx434 remaindernear 0.455555555 1 -> 0.45556 Inexact Rounded
precision: 4
rmnx435 remaindernear 0.455555555 1 -> 0.4556 Inexact Rounded
precision: 3
rmnx436 remaindernear 0.455555555 1 -> 0.456 Inexact Rounded
precision: 2
rmnx437 remaindernear 0.455555555 1 -> 0.46 Inexact Rounded
precision: 1
rmnx438 remaindernear 0.455555555 1 -> 0.5 Inexact Rounded
-- early tests; from text descriptions
precision: 9
rmnx601 remaindernear 10 6 -> -2
rmnx602 remaindernear -10 6 -> 2
rmnx603 remaindernear 11 3 -> -1
rmnx604 remaindernear 11 5 -> 1
rmnx605 remaindernear 7.7 8 -> -0.3
rmnx606 remaindernear 31.5 3 -> 1.5 -- i=10
rmnx607 remaindernear 34.5 3 -> -1.5 -- i=11
-- zero signs
rmnx650 remaindernear 1 1 -> 0
rmnx651 remaindernear -1 1 -> -0
rmnx652 remaindernear 1 -1 -> 0
rmnx653 remaindernear -1 -1 -> -0
rmnx654 remaindernear 0 1 -> 0
rmnx655 remaindernear -0 1 -> -0
rmnx656 remaindernear 0 -1 -> 0
rmnx657 remaindernear -0 -1 -> -0
rmnx658 remaindernear 0.00 1 -> 0.00
rmnx659 remaindernear -0.00 1 -> -0.00
-- Specials
rmnx680 remaindernear Inf -Inf -> NaN Invalid_operation
rmnx681 remaindernear Inf -1000 -> NaN Invalid_operation
rmnx682 remaindernear Inf -1 -> NaN Invalid_operation
rmnx683 remaindernear Inf 0 -> NaN Invalid_operation
rmnx684 remaindernear Inf -0 -> NaN Invalid_operation
rmnx685 remaindernear Inf 1 -> NaN Invalid_operation
rmnx686 remaindernear Inf 1000 -> NaN Invalid_operation
rmnx687 remaindernear Inf Inf -> NaN Invalid_operation
rmnx688 remaindernear -1000 Inf -> -1000
rmnx689 remaindernear -Inf Inf -> NaN Invalid_operation
rmnx691 remaindernear -1 Inf -> -1
rmnx692 remaindernear 0 Inf -> 0
rmnx693 remaindernear -0 Inf -> -0
rmnx694 remaindernear 1 Inf -> 1
rmnx695 remaindernear 1000 Inf -> 1000
rmnx696 remaindernear Inf Inf -> NaN Invalid_operation
rmnx700 remaindernear -Inf -Inf -> NaN Invalid_operation
rmnx701 remaindernear -Inf -1000 -> NaN Invalid_operation
rmnx702 remaindernear -Inf -1 -> NaN Invalid_operation
rmnx703 remaindernear -Inf -0 -> NaN Invalid_operation
rmnx704 remaindernear -Inf 0 -> NaN Invalid_operation
rmnx705 remaindernear -Inf 1 -> NaN Invalid_operation
rmnx706 remaindernear -Inf 1000 -> NaN Invalid_operation
rmnx707 remaindernear -Inf Inf -> NaN Invalid_operation
rmnx708 remaindernear -Inf -Inf -> NaN Invalid_operation
rmnx709 remaindernear -1000 Inf -> -1000
rmnx710 remaindernear -1 -Inf -> -1
rmnx711 remaindernear -0 -Inf -> -0
rmnx712 remaindernear 0 -Inf -> 0
rmnx713 remaindernear 1 -Inf -> 1
rmnx714 remaindernear 1000 -Inf -> 1000
rmnx715 remaindernear Inf -Inf -> NaN Invalid_operation
rmnx721 remaindernear NaN -Inf -> NaN
rmnx722 remaindernear NaN -1000 -> NaN
rmnx723 remaindernear NaN -1 -> NaN
rmnx724 remaindernear NaN -0 -> NaN
rmnx725 remaindernear NaN 0 -> NaN
rmnx726 remaindernear NaN 1 -> NaN
rmnx727 remaindernear NaN 1000 -> NaN
rmnx728 remaindernear NaN Inf -> NaN
rmnx729 remaindernear NaN NaN -> NaN
rmnx730 remaindernear -Inf NaN -> NaN
rmnx731 remaindernear -1000 NaN -> NaN
rmnx732 remaindernear -1 -NaN -> -NaN
rmnx733 remaindernear -0 NaN -> NaN
rmnx734 remaindernear 0 NaN -> NaN
rmnx735 remaindernear 1 NaN -> NaN
rmnx736 remaindernear 1000 NaN -> NaN
rmnx737 remaindernear Inf NaN -> NaN
rmnx741 remaindernear sNaN -Inf -> NaN Invalid_operation
rmnx742 remaindernear sNaN -1000 -> NaN Invalid_operation
rmnx743 remaindernear -sNaN -1 -> -NaN Invalid_operation
rmnx744 remaindernear sNaN -0 -> NaN Invalid_operation
rmnx745 remaindernear sNaN 0 -> NaN Invalid_operation
rmnx746 remaindernear sNaN 1 -> NaN Invalid_operation
rmnx747 remaindernear sNaN 1000 -> NaN Invalid_operation
rmnx749 remaindernear sNaN NaN -> NaN Invalid_operation
rmnx750 remaindernear sNaN sNaN -> NaN Invalid_operation
rmnx751 remaindernear NaN sNaN -> NaN Invalid_operation
rmnx752 remaindernear -Inf sNaN -> NaN Invalid_operation
rmnx753 remaindernear -1000 sNaN -> NaN Invalid_operation
rmnx754 remaindernear -1 sNaN -> NaN Invalid_operation
rmnx755 remaindernear -0 -sNaN -> -NaN Invalid_operation
rmnx756 remaindernear 0 sNaN -> NaN Invalid_operation
rmnx757 remaindernear 1 sNaN -> NaN Invalid_operation
rmnx758 remaindernear 1000 sNaN -> NaN Invalid_operation
rmnx759 remaindernear Inf sNaN -> NaN Invalid_operation
rmnx760 remaindernear NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
rmnx761 remaindernear NaN1 NaN7 -> NaN1
rmnx762 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation
rmnx763 remaindernear NaN3 -sNaN9 -> -NaN9 Invalid_operation
rmnx764 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation
rmnx765 remaindernear 15 NaN11 -> NaN11
rmnx766 remaindernear NaN6 NaN12 -> NaN6
rmnx767 remaindernear Inf -NaN13 -> -NaN13
rmnx768 remaindernear NaN14 -Inf -> NaN14
rmnx769 remaindernear 0 NaN15 -> NaN15
rmnx770 remaindernear -NaN16 -0 -> -NaN16
-- test some cases that are close to exponent overflow
maxexponent: 999999999
minexponent: -999999999
rmnx780 remaindernear 1 1e999999999 -> 1
rmnx781 remaindernear 1 0.9e999999999 -> 1
rmnx782 remaindernear 1 0.99e999999999 -> 1
rmnx783 remaindernear 1 0.999999999e999999999 -> 1
rmnx784 remaindernear 9e999999999 1 -> NaN Division_impossible
rmnx785 remaindernear 9.9e999999999 1 -> NaN Division_impossible
rmnx786 remaindernear 9.99e999999999 1 -> NaN Division_impossible
rmnx787 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible
-- overflow and underflow tests [from divide]
precision: 9
maxexponent: 999999999
minexponent: -999999999
rmnx790 remaindernear +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded
rmnx791 remaindernear 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible
rmnx792 remaindernear +0.100 9E+999999999 -> 0.100
rmnx793 remaindernear 9E-999999999 +9.100 -> 9E-999999999
rmnx795 remaindernear -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded
rmnx796 remaindernear 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible
rmnx797 remaindernear -0.100 9E+999999999 -> -0.100
rmnx798 remaindernear 9E-999999999 -9.100 -> 9E-999999999
-- long operands checks
maxexponent: 999
minexponent: -999
precision: 9
rmnx801 remaindernear 12345678000 100 -> 0
rmnx802 remaindernear 1 12345678000 -> 1
rmnx803 remaindernear 1234567800 10 -> 0
rmnx804 remaindernear 1 1234567800 -> 1
rmnx805 remaindernear 1234567890 10 -> 0
rmnx806 remaindernear 1 1234567890 -> 1
rmnx807 remaindernear 1234567891 10 -> 1
rmnx808 remaindernear 1 1234567891 -> 1
rmnx809 remaindernear 12345678901 100 -> 1
rmnx810 remaindernear 1 12345678901 -> 1
rmnx811 remaindernear 1234567896 10 -> -4
rmnx812 remaindernear 1 1234567896 -> 1
precision: 15
rmnx841 remaindernear 12345678000 100 -> 0
rmnx842 remaindernear 1 12345678000 -> 1
rmnx843 remaindernear 1234567800 10 -> 0
rmnx844 remaindernear 1 1234567800 -> 1
rmnx845 remaindernear 1234567890 10 -> 0
rmnx846 remaindernear 1 1234567890 -> 1
rmnx847 remaindernear 1234567891 10 -> 1
rmnx848 remaindernear 1 1234567891 -> 1
rmnx849 remaindernear 12345678901 100 -> 1
rmnx850 remaindernear 1 12345678901 -> 1
rmnx851 remaindernear 1234567896 10 -> -4
rmnx852 remaindernear 1 1234567896 -> 1
-- Null tests
rmnx900 remaindernear 10 # -> NaN Invalid_operation
rmnx901 remaindernear # 10 -> NaN Invalid_operation
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