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+------------------------------------------------------------------------
+-- minmag.decTest -- decimal minimum 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
+mngx001 minmag -2 -2 -> -2
+mngx002 minmag -2 -1 -> -1
+mngx003 minmag -2 0 -> 0
+mngx004 minmag -2 1 -> 1
+mngx005 minmag -2 2 -> -2
+mngx006 minmag -1 -2 -> -1
+mngx007 minmag -1 -1 -> -1
+mngx008 minmag -1 0 -> 0
+mngx009 minmag -1 1 -> -1
+mngx010 minmag -1 2 -> -1
+mngx011 minmag 0 -2 -> 0
+mngx012 minmag 0 -1 -> 0
+mngx013 minmag 0 0 -> 0
+mngx014 minmag 0 1 -> 0
+mngx015 minmag 0 2 -> 0
+mngx016 minmag 1 -2 -> 1
+mngx017 minmag 1 -1 -> -1
+mngx018 minmag 1 0 -> 0
+mngx019 minmag 1 1 -> 1
+mngx020 minmag 1 2 -> 1
+mngx021 minmag 2 -2 -> -2
+mngx022 minmag 2 -1 -> -1
+mngx023 minmag 2 0 -> 0
+mngx025 minmag 2 1 -> 1
+mngx026 minmag 2 2 -> 2
+
+-- extended zeros
+mngx030 minmag 0 0 -> 0
+mngx031 minmag 0 -0 -> -0
+mngx032 minmag 0 -0.0 -> -0.0
+mngx033 minmag 0 0.0 -> 0.0
+mngx034 minmag -0 0 -> -0
+mngx035 minmag -0 -0 -> -0
+mngx036 minmag -0 -0.0 -> -0
+mngx037 minmag -0 0.0 -> -0
+mngx038 minmag 0.0 0 -> 0.0
+mngx039 minmag 0.0 -0 -> -0
+mngx040 minmag 0.0 -0.0 -> -0.0
+mngx041 minmag 0.0 0.0 -> 0.0
+mngx042 minmag -0.0 0 -> -0.0
+mngx043 minmag -0.0 -0 -> -0
+mngx044 minmag -0.0 -0.0 -> -0.0
+mngx045 minmag -0.0 0.0 -> -0.0
+
+mngx046 minmag 0E1 -0E1 -> -0E+1
+mngx047 minmag -0E1 0E2 -> -0E+1
+mngx048 minmag 0E2 0E1 -> 0E+1
+mngx049 minmag 0E1 0E2 -> 0E+1
+mngx050 minmag -0E3 -0E2 -> -0E+3
+mngx051 minmag -0E2 -0E3 -> -0E+3
+
+-- Specials
+precision: 9
+mngx090 minmag Inf -Inf -> -Infinity
+mngx091 minmag Inf -1000 -> -1000
+mngx092 minmag Inf -1 -> -1
+mngx093 minmag Inf -0 -> -0
+mngx094 minmag Inf 0 -> 0
+mngx095 minmag Inf 1 -> 1
+mngx096 minmag Inf 1000 -> 1000
+mngx097 minmag Inf Inf -> Infinity
+mngx098 minmag -1000 Inf -> -1000
+mngx099 minmag -Inf Inf -> -Infinity
+mngx100 minmag -1 Inf -> -1
+mngx101 minmag -0 Inf -> -0
+mngx102 minmag 0 Inf -> 0
+mngx103 minmag 1 Inf -> 1
+mngx104 minmag 1000 Inf -> 1000
+mngx105 minmag Inf Inf -> Infinity
+
+mngx120 minmag -Inf -Inf -> -Infinity
+mngx121 minmag -Inf -1000 -> -1000
+mngx122 minmag -Inf -1 -> -1
+mngx123 minmag -Inf -0 -> -0
+mngx124 minmag -Inf 0 -> 0
+mngx125 minmag -Inf 1 -> 1
+mngx126 minmag -Inf 1000 -> 1000
+mngx127 minmag -Inf Inf -> -Infinity
+mngx128 minmag -Inf -Inf -> -Infinity
+mngx129 minmag -1000 -Inf -> -1000
+mngx130 minmag -1 -Inf -> -1
+mngx131 minmag -0 -Inf -> -0
+mngx132 minmag 0 -Inf -> 0
+mngx133 minmag 1 -Inf -> 1
+mngx134 minmag 1000 -Inf -> 1000
+mngx135 minmag Inf -Inf -> -Infinity
+
+-- 2004.08.02 754r chooses number over NaN in mixed cases
+mngx141 minmag NaN -Inf -> -Infinity
+mngx142 minmag NaN -1000 -> -1000
+mngx143 minmag NaN -1 -> -1
+mngx144 minmag NaN -0 -> -0
+mngx145 minmag NaN 0 -> 0
+mngx146 minmag NaN 1 -> 1
+mngx147 minmag NaN 1000 -> 1000
+mngx148 minmag NaN Inf -> Infinity
+mngx149 minmag NaN NaN -> NaN
+mngx150 minmag -Inf NaN -> -Infinity
+mngx151 minmag -1000 NaN -> -1000
+mngx152 minmag -1 -NaN -> -1
+mngx153 minmag -0 NaN -> -0
+mngx154 minmag 0 -NaN -> 0
+mngx155 minmag 1 NaN -> 1
+mngx156 minmag 1000 NaN -> 1000
+mngx157 minmag Inf NaN -> Infinity
+
+mngx161 minmag sNaN -Inf -> NaN Invalid_operation
+mngx162 minmag sNaN -1000 -> NaN Invalid_operation
+mngx163 minmag sNaN -1 -> NaN Invalid_operation
+mngx164 minmag sNaN -0 -> NaN Invalid_operation
+mngx165 minmag -sNaN 0 -> -NaN Invalid_operation
+mngx166 minmag -sNaN 1 -> -NaN Invalid_operation
+mngx167 minmag sNaN 1000 -> NaN Invalid_operation
+mngx168 minmag sNaN NaN -> NaN Invalid_operation
+mngx169 minmag sNaN sNaN -> NaN Invalid_operation
+mngx170 minmag NaN sNaN -> NaN Invalid_operation
+mngx171 minmag -Inf sNaN -> NaN Invalid_operation
+mngx172 minmag -1000 sNaN -> NaN Invalid_operation
+mngx173 minmag -1 sNaN -> NaN Invalid_operation
+mngx174 minmag -0 sNaN -> NaN Invalid_operation
+mngx175 minmag 0 sNaN -> NaN Invalid_operation
+mngx176 minmag 1 sNaN -> NaN Invalid_operation
+mngx177 minmag 1000 sNaN -> NaN Invalid_operation
+mngx178 minmag Inf sNaN -> NaN Invalid_operation
+mngx179 minmag NaN sNaN -> NaN Invalid_operation
+
+-- propagating NaNs
+mngx181 minmag NaN9 -Inf -> -Infinity
+mngx182 minmag -NaN8 9990 -> 9990
+mngx183 minmag NaN71 Inf -> Infinity
+
+mngx184 minmag NaN1 NaN54 -> NaN1
+mngx185 minmag NaN22 -NaN53 -> NaN22
+mngx186 minmag -NaN3 NaN6 -> -NaN3
+mngx187 minmag -NaN44 NaN7 -> -NaN44
+
+mngx188 minmag -Inf NaN41 -> -Infinity
+mngx189 minmag -9999 -NaN33 -> -9999
+mngx190 minmag Inf NaN2 -> Infinity
+
+mngx191 minmag sNaN99 -Inf -> NaN99 Invalid_operation
+mngx192 minmag sNaN98 -11 -> NaN98 Invalid_operation
+mngx193 minmag -sNaN97 NaN8 -> -NaN97 Invalid_operation
+mngx194 minmag sNaN69 sNaN94 -> NaN69 Invalid_operation
+mngx195 minmag NaN95 sNaN93 -> NaN93 Invalid_operation
+mngx196 minmag -Inf sNaN92 -> NaN92 Invalid_operation
+mngx197 minmag 088 sNaN91 -> NaN91 Invalid_operation
+mngx198 minmag Inf -sNaN90 -> -NaN90 Invalid_operation
+mngx199 minmag NaN sNaN86 -> NaN86 Invalid_operation
+
+-- rounding checks -- chosen is rounded, or not
+maxExponent: 999
+minexponent: -999
+precision: 9
+mngx201 minmag -12345678000 1 -> 1
+mngx202 minmag 1 -12345678000 -> 1
+mngx203 minmag -1234567800 1 -> 1
+mngx204 minmag 1 -1234567800 -> 1
+mngx205 minmag -1234567890 1 -> 1
+mngx206 minmag 1 -1234567890 -> 1
+mngx207 minmag -1234567891 1 -> 1
+mngx208 minmag 1 -1234567891 -> 1
+mngx209 minmag -12345678901 1 -> 1
+mngx210 minmag 1 -12345678901 -> 1
+mngx211 minmag -1234567896 1 -> 1
+mngx212 minmag 1 -1234567896 -> 1
+mngx213 minmag 1234567891 1 -> 1
+mngx214 minmag 1 1234567891 -> 1
+mngx215 minmag 12345678901 1 -> 1
+mngx216 minmag 1 12345678901 -> 1
+mngx217 minmag 1234567896 1 -> 1
+mngx218 minmag 1 1234567896 -> 1
+
+precision: 15
+mngx221 minmag -12345678000 1 -> 1
+mngx222 minmag 1 -12345678000 -> 1
+mngx223 minmag -1234567800 1 -> 1
+mngx224 minmag 1 -1234567800 -> 1
+mngx225 minmag -1234567890 1 -> 1
+mngx226 minmag 1 -1234567890 -> 1
+mngx227 minmag -1234567891 1 -> 1
+mngx228 minmag 1 -1234567891 -> 1
+mngx229 minmag -12345678901 1 -> 1
+mngx230 minmag 1 -12345678901 -> 1
+mngx231 minmag -1234567896 1 -> 1
+mngx232 minmag 1 -1234567896 -> 1
+mngx233 minmag 1234567891 1 -> 1
+mngx234 minmag 1 1234567891 -> 1
+mngx235 minmag 12345678901 1 -> 1
+mngx236 minmag 1 12345678901 -> 1
+mngx237 minmag 1234567896 1 -> 1
+mngx238 minmag 1 1234567896 -> 1
+
+-- from examples
+mngx280 minmag '3' '2' -> '2'
+mngx281 minmag '-10' '3' -> '3'
+mngx282 minmag '1.0' '1' -> '1.0'
+mngx283 minmag '1' '1.0' -> '1.0'
+mngx284 minmag '7' 'NaN' -> '7'
+
+-- overflow and underflow tests .. subnormal results [inputs] now allowed
+maxExponent: 999999999
+minexponent: -999999999
+mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345
+mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345
+mngx332 minmag -0.100 -9E-999999999 -> -9E-999999999
+mngx333 minmag -9E-999999999 -0.100 -> -9E-999999999
+mngx335 minmag +1.23456789012345E-0 -9E+999999999 -> 1.23456789012345
+mngx336 minmag -9E+999999999 1.23456789012345E-0 -> 1.23456789012345
+mngx337 minmag +0.100 -9E-999999999 -> -9E-999999999
+mngx338 minmag -9E-999999999 0.100 -> -9E-999999999
+
+mngx339 minmag -1e-599999999 -1e-400000001 -> -1E-599999999
+mngx340 minmag -1e-599999999 -1e-400000000 -> -1E-599999999
+mngx341 minmag -1e-600000000 -1e-400000000 -> -1E-600000000
+mngx342 minmag -9e-999999998 -0.01 -> -9E-999999998
+mngx343 minmag -9e-999999998 -0.1 -> -9E-999999998
+mngx344 minmag -0.01 -9e-999999998 -> -9E-999999998
+mngx345 minmag -1e599999999 -1e400000001 -> -1E+400000001
+mngx346 minmag -1e599999999 -1e400000000 -> -1E+400000000
+mngx347 minmag -1e600000000 -1e400000000 -> -1E+400000000
+mngx348 minmag -9e999999998 -100 -> -100
+mngx349 minmag -9e999999998 -10 -> -10
+mngx350 minmag -100 -9e999999998 -> -100
+-- signs
+mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111
+mngx352 minmag -1e+777777777 +1e+411111111 -> 1E+411111111
+mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111
+mngx354 minmag +1e+777777777 +1e+411111111 -> 1E+411111111
+mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777
+mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777
+mngx357 minmag +1e-777777777 -1e-411111111 -> 1E-777777777
+mngx358 minmag +1e-777777777 +1e-411111111 -> 1E-777777777
+
+-- expanded list from min/max 754r purple prose
+-- [explicit tests for exponent ordering]
+mngx401 minmag Inf 1.1 -> 1.1
+mngx402 minmag 1.1 1 -> 1
+mngx403 minmag 1 1.0 -> 1.0
+mngx404 minmag 1.0 0.1 -> 0.1
+mngx405 minmag 0.1 0.10 -> 0.10
+mngx406 minmag 0.10 0.100 -> 0.100
+mngx407 minmag 0.10 0 -> 0
+mngx408 minmag 0 0.0 -> 0.0
+mngx409 minmag 0.0 -0 -> -0
+mngx410 minmag 0.0 -0.0 -> -0.0
+mngx411 minmag 0.00 -0.0 -> -0.0
+mngx412 minmag 0.0 -0.00 -> -0.00
+mngx413 minmag 0 -0.0 -> -0.0
+mngx414 minmag 0 -0 -> -0
+mngx415 minmag -0.0 -0 -> -0
+mngx416 minmag -0 -0.100 -> -0
+mngx417 minmag -0.100 -0.10 -> -0.10
+mngx418 minmag -0.10 -0.1 -> -0.1
+mngx419 minmag -0.1 -1.0 -> -0.1
+mngx420 minmag -1.0 -1 -> -1
+mngx421 minmag -1 -1.1 -> -1
+mngx423 minmag -1.1 -Inf -> -1.1
+-- same with operands reversed
+mngx431 minmag 1.1 Inf -> 1.1
+mngx432 minmag 1 1.1 -> 1
+mngx433 minmag 1.0 1 -> 1.0
+mngx434 minmag 0.1 1.0 -> 0.1
+mngx435 minmag 0.10 0.1 -> 0.10
+mngx436 minmag 0.100 0.10 -> 0.100
+mngx437 minmag 0 0.10 -> 0
+mngx438 minmag 0.0 0 -> 0.0
+mngx439 minmag -0 0.0 -> -0
+mngx440 minmag -0.0 0.0 -> -0.0
+mngx441 minmag -0.0 0.00 -> -0.0
+mngx442 minmag -0.00 0.0 -> -0.00
+mngx443 minmag -0.0 0 -> -0.0
+mngx444 minmag -0 0 -> -0
+mngx445 minmag -0 -0.0 -> -0
+mngx446 minmag -0.100 -0 -> -0
+mngx447 minmag -0.10 -0.100 -> -0.10
+mngx448 minmag -0.1 -0.10 -> -0.1
+mngx449 minmag -1.0 -0.1 -> -0.1
+mngx450 minmag -1 -1.0 -> -1
+mngx451 minmag -1.1 -1 -> -1
+mngx453 minmag -Inf -1.1 -> -1.1
+-- largies
+mngx460 minmag 1000 1E+3 -> 1000
+mngx461 minmag 1E+3 1000 -> 1000
+mngx462 minmag 1000 -1E+3 -> -1E+3
+mngx463 minmag 1E+3 -1000 -> -1000
+mngx464 minmag -1000 1E+3 -> -1000
+mngx465 minmag -1E+3 1000 -> -1E+3
+mngx466 minmag -1000 -1E+3 -> -1E+3
+mngx467 minmag -1E+3 -1000 -> -1E+3
+
+-- rounding (results treated as though plus)
+maxexponent: 999999999
+minexponent: -999999999
+precision: 3
+
+mngx470 minmag 1 5 -> 1
+mngx471 minmag 10 50 -> 10
+mngx472 minmag 100 500 -> 100
+mngx473 minmag 1000 5000 -> 1.00E+3 Rounded
+mngx474 minmag 10000 50000 -> 1.00E+4 Rounded
+mngx475 minmag 6 50 -> 6
+mngx476 minmag 66 500 -> 66
+mngx477 minmag 666 5000 -> 666
+mngx478 minmag 6666 50000 -> 6.67E+3 Rounded Inexact
+mngx479 minmag 66666 500000 -> 6.67E+4 Rounded Inexact
+mngx480 minmag 33333 500000 -> 3.33E+4 Rounded Inexact
+mngx481 minmag 75401 1 -> 1
+mngx482 minmag 75402 10 -> 10
+mngx483 minmag 75403 100 -> 100
+mngx484 minmag 75404 1000 -> 1.00E+3 Rounded
+mngx485 minmag 75405 10000 -> 1.00E+4 Rounded
+mngx486 minmag 75406 6 -> 6
+mngx487 minmag 75407 66 -> 66
+mngx488 minmag 75408 666 -> 666
+mngx489 minmag 75409 6666 -> 6.67E+3 Rounded Inexact
+mngx490 minmag 75410 66666 -> 6.67E+4 Rounded Inexact
+mngx491 minmag 75411 33333 -> 3.33E+4 Rounded Inexact
+
+
+-- overflow tests
+maxexponent: 999999999
+minexponent: -999999999
+precision: 3
+mngx500 minmag 9.999E+999999999 0 -> 0
+mngx501 minmag -9.999E+999999999 0 -> 0
+
+-- subnormals and underflow
+precision: 3
+maxexponent: 999
+minexponent: -999
+mngx510 minmag 1.00E-999 0 -> 0
+mngx511 minmag 0.1E-999 0 -> 0
+mngx512 minmag 0.10E-999 0 -> 0
+mngx513 minmag 0.100E-999 0 -> 0
+mngx514 minmag 0.01E-999 0 -> 0
+mngx515 minmag 0.999E-999 0 -> 0
+mngx516 minmag 0.099E-999 0 -> 0
+mngx517 minmag 0.009E-999 0 -> 0
+mngx518 minmag 0.001E-999 0 -> 0
+mngx519 minmag 0.0009E-999 0 -> 0
+mngx520 minmag 0.0001E-999 0 -> 0
+
+mngx530 minmag -1.00E-999 0 -> 0
+mngx531 minmag -0.1E-999 0 -> 0
+mngx532 minmag -0.10E-999 0 -> 0
+mngx533 minmag -0.100E-999 0 -> 0
+mngx534 minmag -0.01E-999 0 -> 0
+mngx535 minmag -0.999E-999 0 -> 0
+mngx536 minmag -0.099E-999 0 -> 0
+mngx537 minmag -0.009E-999 0 -> 0
+mngx538 minmag -0.001E-999 0 -> 0
+mngx539 minmag -0.0009E-999 0 -> 0
+mngx540 minmag -0.0001E-999 0 -> 0
+
+
+-- Null tests
+mng900 minmag 10 # -> NaN Invalid_operation
+mng901 minmag # 10 -> NaN Invalid_operation