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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 --
+-- mfc@uk.ibm.com --
+------------------------------------------------------------------------
+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
+
+
+