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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