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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 --
-- [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
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