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------------------------------------------------------------------------
-- maxmag.decTest -- decimal maximum by magnitude --
-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://www2.hursley.ibm.com/decimal for the description of --
-- these testcases. --
-- --
-- These testcases are experimental ('beta' versions), and they --
-- may contain errors. They are offered on an as-is basis. In --
-- particular, achieving the same results as the tests here is not --
-- a guarantee that an implementation complies with any Standard --
-- or specification. The tests are not exhaustive. --
-- --
-- Please send comments, suggestions, and corrections to the author: --
-- Mike Cowlishaw, IBM Fellow --
-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
-- [email protected] --
------------------------------------------------------------------------
version: 2.59
-- we assume that base comparison is tested in compare.decTest, so
-- these mainly cover special cases and rounding
extended: 1
precision: 9
rounding: half_up
maxExponent: 384
minexponent: -383
-- sanity checks
mxgx001 maxmag -2 -2 -> -2
mxgx002 maxmag -2 -1 -> -2
mxgx003 maxmag -2 0 -> -2
mxgx004 maxmag -2 1 -> -2
mxgx005 maxmag -2 2 -> 2
mxgx006 maxmag -1 -2 -> -2
mxgx007 maxmag -1 -1 -> -1
mxgx008 maxmag -1 0 -> -1
mxgx009 maxmag -1 1 -> 1
mxgx010 maxmag -1 2 -> 2
mxgx011 maxmag 0 -2 -> -2
mxgx012 maxmag 0 -1 -> -1
mxgx013 maxmag 0 0 -> 0
mxgx014 maxmag 0 1 -> 1
mxgx015 maxmag 0 2 -> 2
mxgx016 maxmag 1 -2 -> -2
mxgx017 maxmag 1 -1 -> 1
mxgx018 maxmag 1 0 -> 1
mxgx019 maxmag 1 1 -> 1
mxgx020 maxmag 1 2 -> 2
mxgx021 maxmag 2 -2 -> 2
mxgx022 maxmag 2 -1 -> 2
mxgx023 maxmag 2 0 -> 2
mxgx025 maxmag 2 1 -> 2
mxgx026 maxmag 2 2 -> 2
-- extended zeros
mxgx030 maxmag 0 0 -> 0
mxgx031 maxmag 0 -0 -> 0
mxgx032 maxmag 0 -0.0 -> 0
mxgx033 maxmag 0 0.0 -> 0
mxgx034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen
mxgx035 maxmag -0 -0 -> -0
mxgx036 maxmag -0 -0.0 -> -0.0
mxgx037 maxmag -0 0.0 -> 0.0
mxgx038 maxmag 0.0 0 -> 0
mxgx039 maxmag 0.0 -0 -> 0.0
mxgx040 maxmag 0.0 -0.0 -> 0.0
mxgx041 maxmag 0.0 0.0 -> 0.0
mxgx042 maxmag -0.0 0 -> 0
mxgx043 maxmag -0.0 -0 -> -0.0
mxgx044 maxmag -0.0 -0.0 -> -0.0
mxgx045 maxmag -0.0 0.0 -> 0.0
mxgx050 maxmag -0E1 0E1 -> 0E+1
mxgx051 maxmag -0E2 0E2 -> 0E+2
mxgx052 maxmag -0E2 0E1 -> 0E+1
mxgx053 maxmag -0E1 0E2 -> 0E+2
mxgx054 maxmag 0E1 -0E1 -> 0E+1
mxgx055 maxmag 0E2 -0E2 -> 0E+2
mxgx056 maxmag 0E2 -0E1 -> 0E+2
mxgx057 maxmag 0E1 -0E2 -> 0E+1
mxgx058 maxmag 0E1 0E1 -> 0E+1
mxgx059 maxmag 0E2 0E2 -> 0E+2
mxgx060 maxmag 0E2 0E1 -> 0E+2
mxgx061 maxmag 0E1 0E2 -> 0E+2
mxgx062 maxmag -0E1 -0E1 -> -0E+1
mxgx063 maxmag -0E2 -0E2 -> -0E+2
mxgx064 maxmag -0E2 -0E1 -> -0E+1
mxgx065 maxmag -0E1 -0E2 -> -0E+1
-- Specials
precision: 9
mxgx090 maxmag Inf -Inf -> Infinity
mxgx091 maxmag Inf -1000 -> Infinity
mxgx092 maxmag Inf -1 -> Infinity
mxgx093 maxmag Inf -0 -> Infinity
mxgx094 maxmag Inf 0 -> Infinity
mxgx095 maxmag Inf 1 -> Infinity
mxgx096 maxmag Inf 1000 -> Infinity
mxgx097 maxmag Inf Inf -> Infinity
mxgx098 maxmag -1000 Inf -> Infinity
mxgx099 maxmag -Inf Inf -> Infinity
mxgx100 maxmag -1 Inf -> Infinity
mxgx101 maxmag -0 Inf -> Infinity
mxgx102 maxmag 0 Inf -> Infinity
mxgx103 maxmag 1 Inf -> Infinity
mxgx104 maxmag 1000 Inf -> Infinity
mxgx105 maxmag Inf Inf -> Infinity
mxgx120 maxmag -Inf -Inf -> -Infinity
mxgx121 maxmag -Inf -1000 -> -Infinity
mxgx122 maxmag -Inf -1 -> -Infinity
mxgx123 maxmag -Inf -0 -> -Infinity
mxgx124 maxmag -Inf 0 -> -Infinity
mxgx125 maxmag -Inf 1 -> -Infinity
mxgx126 maxmag -Inf 1000 -> -Infinity
mxgx127 maxmag -Inf Inf -> Infinity
mxgx128 maxmag -Inf -Inf -> -Infinity
mxgx129 maxmag -1000 -Inf -> -Infinity
mxgx130 maxmag -1 -Inf -> -Infinity
mxgx131 maxmag -0 -Inf -> -Infinity
mxgx132 maxmag 0 -Inf -> -Infinity
mxgx133 maxmag 1 -Inf -> -Infinity
mxgx134 maxmag 1000 -Inf -> -Infinity
mxgx135 maxmag Inf -Inf -> Infinity
-- 2004.08.02 754r chooses number over NaN in mixed cases
mxgx141 maxmag NaN -Inf -> -Infinity
mxgx142 maxmag NaN -1000 -> -1000
mxgx143 maxmag NaN -1 -> -1
mxgx144 maxmag NaN -0 -> -0
mxgx145 maxmag NaN 0 -> 0
mxgx146 maxmag NaN 1 -> 1
mxgx147 maxmag NaN 1000 -> 1000
mxgx148 maxmag NaN Inf -> Infinity
mxgx149 maxmag NaN NaN -> NaN
mxgx150 maxmag -Inf NaN -> -Infinity
mxgx151 maxmag -1000 NaN -> -1000
mxgx152 maxmag -1 NaN -> -1
mxgx153 maxmag -0 NaN -> -0
mxgx154 maxmag 0 NaN -> 0
mxgx155 maxmag 1 NaN -> 1
mxgx156 maxmag 1000 NaN -> 1000
mxgx157 maxmag Inf NaN -> Infinity
mxgx161 maxmag sNaN -Inf -> NaN Invalid_operation
mxgx162 maxmag sNaN -1000 -> NaN Invalid_operation
mxgx163 maxmag sNaN -1 -> NaN Invalid_operation
mxgx164 maxmag sNaN -0 -> NaN Invalid_operation
mxgx165 maxmag sNaN 0 -> NaN Invalid_operation
mxgx166 maxmag sNaN 1 -> NaN Invalid_operation
mxgx167 maxmag sNaN 1000 -> NaN Invalid_operation
mxgx168 maxmag sNaN NaN -> NaN Invalid_operation
mxgx169 maxmag sNaN sNaN -> NaN Invalid_operation
mxgx170 maxmag NaN sNaN -> NaN Invalid_operation
mxgx171 maxmag -Inf sNaN -> NaN Invalid_operation
mxgx172 maxmag -1000 sNaN -> NaN Invalid_operation
mxgx173 maxmag -1 sNaN -> NaN Invalid_operation
mxgx174 maxmag -0 sNaN -> NaN Invalid_operation
mxgx175 maxmag 0 sNaN -> NaN Invalid_operation
mxgx176 maxmag 1 sNaN -> NaN Invalid_operation
mxgx177 maxmag 1000 sNaN -> NaN Invalid_operation
mxgx178 maxmag Inf sNaN -> NaN Invalid_operation
mxgx179 maxmag NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
mxgx181 maxmag NaN9 -Inf -> -Infinity
mxgx182 maxmag NaN8 9 -> 9
mxgx183 maxmag -NaN7 Inf -> Infinity
mxgx184 maxmag -NaN1 NaN11 -> -NaN1
mxgx185 maxmag NaN2 NaN12 -> NaN2
mxgx186 maxmag -NaN13 -NaN7 -> -NaN13
mxgx187 maxmag NaN14 -NaN5 -> NaN14
mxgx188 maxmag -Inf NaN4 -> -Infinity
mxgx189 maxmag -9 -NaN3 -> -9
mxgx190 maxmag Inf NaN2 -> Infinity
mxgx191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation
mxgx192 maxmag sNaN98 -1 -> NaN98 Invalid_operation
mxgx193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation
mxgx194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation
mxgx195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation
mxgx196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation
mxgx197 maxmag 0 sNaN91 -> NaN91 Invalid_operation
mxgx198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation
mxgx199 maxmag NaN sNaN89 -> NaN89 Invalid_operation
-- rounding checks
maxexponent: 999
minexponent: -999
precision: 9
mxgx201 maxmag 12345678000 1 -> 1.23456780E+10 Rounded
mxgx202 maxmag 1 12345678000 -> 1.23456780E+10 Rounded
mxgx203 maxmag 1234567800 1 -> 1.23456780E+9 Rounded
mxgx204 maxmag 1 1234567800 -> 1.23456780E+9 Rounded
mxgx205 maxmag 1234567890 1 -> 1.23456789E+9 Rounded
mxgx206 maxmag 1 1234567890 -> 1.23456789E+9 Rounded
mxgx207 maxmag 1234567891 1 -> 1.23456789E+9 Inexact Rounded
mxgx208 maxmag 1 1234567891 -> 1.23456789E+9 Inexact Rounded
mxgx209 maxmag 12345678901 1 -> 1.23456789E+10 Inexact Rounded
mxgx210 maxmag 1 12345678901 -> 1.23456789E+10 Inexact Rounded
mxgx211 maxmag 1234567896 1 -> 1.23456790E+9 Inexact Rounded
mxgx212 maxmag 1 1234567896 -> 1.23456790E+9 Inexact Rounded
mxgx213 maxmag -1234567891 1 -> -1.23456789E+9 Inexact Rounded
mxgx214 maxmag 1 -1234567891 -> -1.23456789E+9 Inexact Rounded
mxgx215 maxmag -12345678901 1 -> -1.23456789E+10 Inexact Rounded
mxgx216 maxmag 1 -12345678901 -> -1.23456789E+10 Inexact Rounded
mxgx217 maxmag -1234567896 1 -> -1.23456790E+9 Inexact Rounded
mxgx218 maxmag 1 -1234567896 -> -1.23456790E+9 Inexact Rounded
precision: 15
mxgx221 maxmag 12345678000 1 -> 12345678000
mxgx222 maxmag 1 12345678000 -> 12345678000
mxgx223 maxmag 1234567800 1 -> 1234567800
mxgx224 maxmag 1 1234567800 -> 1234567800
mxgx225 maxmag 1234567890 1 -> 1234567890
mxgx226 maxmag 1 1234567890 -> 1234567890
mxgx227 maxmag 1234567891 1 -> 1234567891
mxgx228 maxmag 1 1234567891 -> 1234567891
mxgx229 maxmag 12345678901 1 -> 12345678901
mxgx230 maxmag 1 12345678901 -> 12345678901
mxgx231 maxmag 1234567896 1 -> 1234567896
mxgx232 maxmag 1 1234567896 -> 1234567896
mxgx233 maxmag -1234567891 1 -> -1234567891
mxgx234 maxmag 1 -1234567891 -> -1234567891
mxgx235 maxmag -12345678901 1 -> -12345678901
mxgx236 maxmag 1 -12345678901 -> -12345678901
mxgx237 maxmag -1234567896 1 -> -1234567896
mxgx238 maxmag 1 -1234567896 -> -1234567896
-- from examples
mxgx280 maxmag '3' '2' -> '3'
mxgx281 maxmag '-10' '3' -> '-10'
mxgx282 maxmag '1.0' '1' -> '1'
mxgx283 maxmag '1' '1.0' -> '1'
mxgx284 maxmag '7' 'NaN' -> '7'
-- overflow and underflow tests ...
maxExponent: 999999999
minexponent: -999999999
mxgx330 maxmag +1.23456789012345E-0 9E+999999999 -> 9E+999999999
mxgx331 maxmag 9E+999999999 +1.23456789012345E-0 -> 9E+999999999
mxgx332 maxmag +0.100 9E-999999999 -> 0.100
mxgx333 maxmag 9E-999999999 +0.100 -> 0.100
mxgx335 maxmag -1.23456789012345E-0 9E+999999999 -> 9E+999999999
mxgx336 maxmag 9E+999999999 -1.23456789012345E-0 -> 9E+999999999
mxgx337 maxmag -0.100 9E-999999999 -> -0.100
mxgx338 maxmag 9E-999999999 -0.100 -> -0.100
mxgx339 maxmag 1e-599999999 1e-400000001 -> 1E-400000001
mxgx340 maxmag 1e-599999999 1e-400000000 -> 1E-400000000
mxgx341 maxmag 1e-600000000 1e-400000000 -> 1E-400000000
mxgx342 maxmag 9e-999999998 0.01 -> 0.01
mxgx343 maxmag 9e-999999998 0.1 -> 0.1
mxgx344 maxmag 0.01 9e-999999998 -> 0.01
mxgx345 maxmag 1e599999999 1e400000001 -> 1E+599999999
mxgx346 maxmag 1e599999999 1e400000000 -> 1E+599999999
mxgx347 maxmag 1e600000000 1e400000000 -> 1E+600000000
mxgx348 maxmag 9e999999998 100 -> 9E+999999998
mxgx349 maxmag 9e999999998 10 -> 9E+999999998
mxgx350 maxmag 100 9e999999998 -> 9E+999999998
-- signs
mxgx351 maxmag 1e+777777777 1e+411111111 -> 1E+777777777
mxgx352 maxmag 1e+777777777 -1e+411111111 -> 1E+777777777
mxgx353 maxmag -1e+777777777 1e+411111111 -> -1E+777777777
mxgx354 maxmag -1e+777777777 -1e+411111111 -> -1E+777777777
mxgx355 maxmag 1e-777777777 1e-411111111 -> 1E-411111111
mxgx356 maxmag 1e-777777777 -1e-411111111 -> -1E-411111111
mxgx357 maxmag -1e-777777777 1e-411111111 -> 1E-411111111
mxgx358 maxmag -1e-777777777 -1e-411111111 -> -1E-411111111
-- expanded list from min/max 754r purple prose
-- [explicit tests for exponent ordering]
mxgx401 maxmag Inf 1.1 -> Infinity
mxgx402 maxmag 1.1 1 -> 1.1
mxgx403 maxmag 1 1.0 -> 1
mxgx404 maxmag 1.0 0.1 -> 1.0
mxgx405 maxmag 0.1 0.10 -> 0.1
mxgx406 maxmag 0.10 0.100 -> 0.10
mxgx407 maxmag 0.10 0 -> 0.10
mxgx408 maxmag 0 0.0 -> 0
mxgx409 maxmag 0.0 -0 -> 0.0
mxgx410 maxmag 0.0 -0.0 -> 0.0
mxgx411 maxmag 0.00 -0.0 -> 0.00
mxgx412 maxmag 0.0 -0.00 -> 0.0
mxgx413 maxmag 0 -0.0 -> 0
mxgx414 maxmag 0 -0 -> 0
mxgx415 maxmag -0.0 -0 -> -0.0
mxgx416 maxmag -0 -0.100 -> -0.100
mxgx417 maxmag -0.100 -0.10 -> -0.100
mxgx418 maxmag -0.10 -0.1 -> -0.10
mxgx419 maxmag -0.1 -1.0 -> -1.0
mxgx420 maxmag -1.0 -1 -> -1.0
mxgx421 maxmag -1 -1.1 -> -1.1
mxgx423 maxmag -1.1 -Inf -> -Infinity
-- same with operands reversed
mxgx431 maxmag 1.1 Inf -> Infinity
mxgx432 maxmag 1 1.1 -> 1.1
mxgx433 maxmag 1.0 1 -> 1
mxgx434 maxmag 0.1 1.0 -> 1.0
mxgx435 maxmag 0.10 0.1 -> 0.1
mxgx436 maxmag 0.100 0.10 -> 0.10
mxgx437 maxmag 0 0.10 -> 0.10
mxgx438 maxmag 0.0 0 -> 0
mxgx439 maxmag -0 0.0 -> 0.0
mxgx440 maxmag -0.0 0.0 -> 0.0
mxgx441 maxmag -0.0 0.00 -> 0.00
mxgx442 maxmag -0.00 0.0 -> 0.0
mxgx443 maxmag -0.0 0 -> 0
mxgx444 maxmag -0 0 -> 0
mxgx445 maxmag -0 -0.0 -> -0.0
mxgx446 maxmag -0.100 -0 -> -0.100
mxgx447 maxmag -0.10 -0.100 -> -0.100
mxgx448 maxmag -0.1 -0.10 -> -0.10
mxgx449 maxmag -1.0 -0.1 -> -1.0
mxgx450 maxmag -1 -1.0 -> -1.0
mxgx451 maxmag -1.1 -1 -> -1.1
mxgx453 maxmag -Inf -1.1 -> -Infinity
-- largies
mxgx460 maxmag 1000 1E+3 -> 1E+3
mxgx461 maxmag 1E+3 1000 -> 1E+3
mxgx462 maxmag 1000 -1E+3 -> 1000
mxgx463 maxmag 1E+3 -1000 -> 1E+3
mxgx464 maxmag -1000 1E+3 -> 1E+3
mxgx465 maxmag -1E+3 1000 -> 1000
mxgx466 maxmag -1000 -1E+3 -> -1000
mxgx467 maxmag -1E+3 -1000 -> -1000
-- rounding (results treated as though plus)
maxexponent: 999999999
minexponent: -999999999
precision: 3
mxgx470 maxmag 1 .5 -> 1
mxgx471 maxmag 10 5 -> 10
mxgx472 maxmag 100 50 -> 100
mxgx473 maxmag 1000 500 -> 1.00E+3 Rounded
mxgx474 maxmag 10000 5000 -> 1.00E+4 Rounded
mxgx475 maxmag 6 .5 -> 6
mxgx476 maxmag 66 5 -> 66
mxgx477 maxmag 666 50 -> 666
mxgx478 maxmag 6666 500 -> 6.67E+3 Rounded Inexact
mxgx479 maxmag 66666 5000 -> 6.67E+4 Rounded Inexact
mxgx480 maxmag 33333 5000 -> 3.33E+4 Rounded Inexact
mxgx481 maxmag .5 1 -> 1
mxgx482 maxmag .5 10 -> 10
mxgx483 maxmag .5 100 -> 100
mxgx484 maxmag .5 1000 -> 1.00E+3 Rounded
mxgx485 maxmag .5 10000 -> 1.00E+4 Rounded
mxgx486 maxmag .5 6 -> 6
mxgx487 maxmag .5 66 -> 66
mxgx488 maxmag .5 666 -> 666
mxgx489 maxmag .5 6666 -> 6.67E+3 Rounded Inexact
mxgx490 maxmag .5 66666 -> 6.67E+4 Rounded Inexact
mxgx491 maxmag .5 33333 -> 3.33E+4 Rounded Inexact
-- overflow tests
maxexponent: 999999999
minexponent: -999999999
precision: 3
mxgx500 maxmag 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
mxgx501 maxmag -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
-- subnormals and underflow
precision: 3
maxexponent: 999
minexponent: -999
mxgx510 maxmag 1.00E-999 0 -> 1.00E-999
mxgx511 maxmag 0.1E-999 0 -> 1E-1000 Subnormal
mxgx512 maxmag 0.10E-999 0 -> 1.0E-1000 Subnormal
mxgx513 maxmag 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
mxgx514 maxmag 0.01E-999 0 -> 1E-1001 Subnormal
-- next is rounded to Nmin
mxgx515 maxmag 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
mxgx516 maxmag 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
mxgx517 maxmag 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
mxgx518 maxmag 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
mxgx519 maxmag 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
mxgx520 maxmag 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
mxgx530 maxmag -1.00E-999 0 -> -1.00E-999
mxgx531 maxmag -0.1E-999 0 -> -1E-1000 Subnormal
mxgx532 maxmag -0.10E-999 0 -> -1.0E-1000 Subnormal
mxgx533 maxmag -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
mxgx534 maxmag -0.01E-999 0 -> -1E-1001 Subnormal
-- next is rounded to -Nmin
mxgx535 maxmag -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
mxgx536 maxmag -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
mxgx537 maxmag -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
mxgx538 maxmag -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
mxgx539 maxmag -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
mxgx540 maxmag -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
-- Null tests
mxgx900 maxmag 10 # -> NaN Invalid_operation
mxgx901 maxmag # 10 -> NaN Invalid_operation