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------------------------------------------------------------------------
-- min.decTest -- decimal minimum --
-- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.57
-- 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
mnmx001 min -2 -2 -> -2
mnmx002 min -2 -1 -> -2
mnmx003 min -2 0 -> -2
mnmx004 min -2 1 -> -2
mnmx005 min -2 2 -> -2
mnmx006 min -1 -2 -> -2
mnmx007 min -1 -1 -> -1
mnmx008 min -1 0 -> -1
mnmx009 min -1 1 -> -1
mnmx010 min -1 2 -> -1
mnmx011 min 0 -2 -> -2
mnmx012 min 0 -1 -> -1
mnmx013 min 0 0 -> 0
mnmx014 min 0 1 -> 0
mnmx015 min 0 2 -> 0
mnmx016 min 1 -2 -> -2
mnmx017 min 1 -1 -> -1
mnmx018 min 1 0 -> 0
mnmx019 min 1 1 -> 1
mnmx020 min 1 2 -> 1
mnmx021 min 2 -2 -> -2
mnmx022 min 2 -1 -> -1
mnmx023 min 2 0 -> 0
mnmx025 min 2 1 -> 1
mnmx026 min 2 2 -> 2
-- extended zeros
mnmx030 min 0 0 -> 0
mnmx031 min 0 -0 -> -0
mnmx032 min 0 -0.0 -> -0.0
mnmx033 min 0 0.0 -> 0.0
mnmx034 min -0 0 -> -0
mnmx035 min -0 -0 -> -0
mnmx036 min -0 -0.0 -> -0
mnmx037 min -0 0.0 -> -0
mnmx038 min 0.0 0 -> 0.0
mnmx039 min 0.0 -0 -> -0
mnmx040 min 0.0 -0.0 -> -0.0
mnmx041 min 0.0 0.0 -> 0.0
mnmx042 min -0.0 0 -> -0.0
mnmx043 min -0.0 -0 -> -0
mnmx044 min -0.0 -0.0 -> -0.0
mnmx045 min -0.0 0.0 -> -0.0
mnmx046 min 0E1 -0E1 -> -0E+1
mnmx047 min -0E1 0E2 -> -0E+1
mnmx048 min 0E2 0E1 -> 0E+1
mnmx049 min 0E1 0E2 -> 0E+1
mnmx050 min -0E3 -0E2 -> -0E+3
mnmx051 min -0E2 -0E3 -> -0E+3
-- Specials
precision: 9
mnmx090 min Inf -Inf -> -Infinity
mnmx091 min Inf -1000 -> -1000
mnmx092 min Inf -1 -> -1
mnmx093 min Inf -0 -> -0
mnmx094 min Inf 0 -> 0
mnmx095 min Inf 1 -> 1
mnmx096 min Inf 1000 -> 1000
mnmx097 min Inf Inf -> Infinity
mnmx098 min -1000 Inf -> -1000
mnmx099 min -Inf Inf -> -Infinity
mnmx100 min -1 Inf -> -1
mnmx101 min -0 Inf -> -0
mnmx102 min 0 Inf -> 0
mnmx103 min 1 Inf -> 1
mnmx104 min 1000 Inf -> 1000
mnmx105 min Inf Inf -> Infinity
mnmx120 min -Inf -Inf -> -Infinity
mnmx121 min -Inf -1000 -> -Infinity
mnmx122 min -Inf -1 -> -Infinity
mnmx123 min -Inf -0 -> -Infinity
mnmx124 min -Inf 0 -> -Infinity
mnmx125 min -Inf 1 -> -Infinity
mnmx126 min -Inf 1000 -> -Infinity
mnmx127 min -Inf Inf -> -Infinity
mnmx128 min -Inf -Inf -> -Infinity
mnmx129 min -1000 -Inf -> -Infinity
mnmx130 min -1 -Inf -> -Infinity
mnmx131 min -0 -Inf -> -Infinity
mnmx132 min 0 -Inf -> -Infinity
mnmx133 min 1 -Inf -> -Infinity
mnmx134 min 1000 -Inf -> -Infinity
mnmx135 min Inf -Inf -> -Infinity
-- 2004.08.02 754r chooses number over NaN in mixed cases
mnmx141 min NaN -Inf -> -Infinity
mnmx142 min NaN -1000 -> -1000
mnmx143 min NaN -1 -> -1
mnmx144 min NaN -0 -> -0
mnmx145 min NaN 0 -> 0
mnmx146 min NaN 1 -> 1
mnmx147 min NaN 1000 -> 1000
mnmx148 min NaN Inf -> Infinity
mnmx149 min NaN NaN -> NaN
mnmx150 min -Inf NaN -> -Infinity
mnmx151 min -1000 NaN -> -1000
mnmx152 min -1 -NaN -> -1
mnmx153 min -0 NaN -> -0
mnmx154 min 0 -NaN -> 0
mnmx155 min 1 NaN -> 1
mnmx156 min 1000 NaN -> 1000
mnmx157 min Inf NaN -> Infinity
mnmx161 min sNaN -Inf -> NaN Invalid_operation
mnmx162 min sNaN -1000 -> NaN Invalid_operation
mnmx163 min sNaN -1 -> NaN Invalid_operation
mnmx164 min sNaN -0 -> NaN Invalid_operation
mnmx165 min -sNaN 0 -> -NaN Invalid_operation
mnmx166 min -sNaN 1 -> -NaN Invalid_operation
mnmx167 min sNaN 1000 -> NaN Invalid_operation
mnmx168 min sNaN NaN -> NaN Invalid_operation
mnmx169 min sNaN sNaN -> NaN Invalid_operation
mnmx170 min NaN sNaN -> NaN Invalid_operation
mnmx171 min -Inf sNaN -> NaN Invalid_operation
mnmx172 min -1000 sNaN -> NaN Invalid_operation
mnmx173 min -1 sNaN -> NaN Invalid_operation
mnmx174 min -0 sNaN -> NaN Invalid_operation
mnmx175 min 0 sNaN -> NaN Invalid_operation
mnmx176 min 1 sNaN -> NaN Invalid_operation
mnmx177 min 1000 sNaN -> NaN Invalid_operation
mnmx178 min Inf sNaN -> NaN Invalid_operation
mnmx179 min NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
mnmx181 min NaN9 -Inf -> -Infinity
mnmx182 min -NaN8 9990 -> 9990
mnmx183 min NaN71 Inf -> Infinity
mnmx184 min NaN1 NaN54 -> NaN1
mnmx185 min NaN22 -NaN53 -> NaN22
mnmx186 min -NaN3 NaN6 -> -NaN3
mnmx187 min -NaN44 NaN7 -> -NaN44
mnmx188 min -Inf NaN41 -> -Infinity
mnmx189 min -9999 -NaN33 -> -9999
mnmx190 min Inf NaN2 -> Infinity
mnmx191 min sNaN99 -Inf -> NaN99 Invalid_operation
mnmx192 min sNaN98 -11 -> NaN98 Invalid_operation
mnmx193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation
mnmx194 min sNaN69 sNaN94 -> NaN69 Invalid_operation
mnmx195 min NaN95 sNaN93 -> NaN93 Invalid_operation
mnmx196 min -Inf sNaN92 -> NaN92 Invalid_operation
mnmx197 min 088 sNaN91 -> NaN91 Invalid_operation
mnmx198 min Inf -sNaN90 -> -NaN90 Invalid_operation
mnmx199 min NaN sNaN86 -> NaN86 Invalid_operation
-- rounding checks -- chosen is rounded, or not
maxExponent: 999
minexponent: -999
precision: 9
mnmx201 min -12345678000 1 -> -1.23456780E+10 Rounded
mnmx202 min 1 -12345678000 -> -1.23456780E+10 Rounded
mnmx203 min -1234567800 1 -> -1.23456780E+9 Rounded
mnmx204 min 1 -1234567800 -> -1.23456780E+9 Rounded
mnmx205 min -1234567890 1 -> -1.23456789E+9 Rounded
mnmx206 min 1 -1234567890 -> -1.23456789E+9 Rounded
mnmx207 min -1234567891 1 -> -1.23456789E+9 Inexact Rounded
mnmx208 min 1 -1234567891 -> -1.23456789E+9 Inexact Rounded
mnmx209 min -12345678901 1 -> -1.23456789E+10 Inexact Rounded
mnmx210 min 1 -12345678901 -> -1.23456789E+10 Inexact Rounded
mnmx211 min -1234567896 1 -> -1.23456790E+9 Inexact Rounded
mnmx212 min 1 -1234567896 -> -1.23456790E+9 Inexact Rounded
mnmx213 min 1234567891 1 -> 1
mnmx214 min 1 1234567891 -> 1
mnmx215 min 12345678901 1 -> 1
mnmx216 min 1 12345678901 -> 1
mnmx217 min 1234567896 1 -> 1
mnmx218 min 1 1234567896 -> 1
precision: 15
mnmx221 min -12345678000 1 -> -12345678000
mnmx222 min 1 -12345678000 -> -12345678000
mnmx223 min -1234567800 1 -> -1234567800
mnmx224 min 1 -1234567800 -> -1234567800
mnmx225 min -1234567890 1 -> -1234567890
mnmx226 min 1 -1234567890 -> -1234567890
mnmx227 min -1234567891 1 -> -1234567891
mnmx228 min 1 -1234567891 -> -1234567891
mnmx229 min -12345678901 1 -> -12345678901
mnmx230 min 1 -12345678901 -> -12345678901
mnmx231 min -1234567896 1 -> -1234567896
mnmx232 min 1 -1234567896 -> -1234567896
mnmx233 min 1234567891 1 -> 1
mnmx234 min 1 1234567891 -> 1
mnmx235 min 12345678901 1 -> 1
mnmx236 min 1 12345678901 -> 1
mnmx237 min 1234567896 1 -> 1
mnmx238 min 1 1234567896 -> 1
-- from examples
mnmx280 min '3' '2' -> '2'
mnmx281 min '-10' '3' -> '-10'
mnmx282 min '1.0' '1' -> '1.0'
mnmx283 min '1' '1.0' -> '1.0'
mnmx284 min '7' 'NaN' -> '7'
-- overflow and underflow tests .. subnormal results [inputs] now allowed
maxExponent: 999999999
minexponent: -999999999
mnmx330 min -1.23456789012345E-0 -9E+999999999 -> -9E+999999999
mnmx331 min -9E+999999999 -1.23456789012345E-0 -> -9E+999999999
mnmx332 min -0.100 -9E-999999999 -> -0.100
mnmx333 min -9E-999999999 -0.100 -> -0.100
mnmx335 min +1.23456789012345E-0 -9E+999999999 -> -9E+999999999
mnmx336 min -9E+999999999 1.23456789012345E-0 -> -9E+999999999
mnmx337 min +0.100 -9E-999999999 -> -9E-999999999
mnmx338 min -9E-999999999 0.100 -> -9E-999999999
mnmx339 min -1e-599999999 -1e-400000001 -> -1E-400000001
mnmx340 min -1e-599999999 -1e-400000000 -> -1E-400000000
mnmx341 min -1e-600000000 -1e-400000000 -> -1E-400000000
mnmx342 min -9e-999999998 -0.01 -> -0.01
mnmx343 min -9e-999999998 -0.1 -> -0.1
mnmx344 min -0.01 -9e-999999998 -> -0.01
mnmx345 min -1e599999999 -1e400000001 -> -1E+599999999
mnmx346 min -1e599999999 -1e400000000 -> -1E+599999999
mnmx347 min -1e600000000 -1e400000000 -> -1E+600000000
mnmx348 min -9e999999998 -100 -> -9E+999999998
mnmx349 min -9e999999998 -10 -> -9E+999999998
mnmx350 min -100 -9e999999998 -> -9E+999999998
-- signs
mnmx351 min -1e+777777777 -1e+411111111 -> -1E+777777777
mnmx352 min -1e+777777777 +1e+411111111 -> -1E+777777777
mnmx353 min +1e+777777777 -1e+411111111 -> -1E+411111111
mnmx354 min +1e+777777777 +1e+411111111 -> 1E+411111111
mnmx355 min -1e-777777777 -1e-411111111 -> -1E-411111111
mnmx356 min -1e-777777777 +1e-411111111 -> -1E-777777777
mnmx357 min +1e-777777777 -1e-411111111 -> -1E-411111111
mnmx358 min +1e-777777777 +1e-411111111 -> 1E-777777777
-- expanded list from min/max 754r purple prose
-- [explicit tests for exponent ordering]
mnmx401 min Inf 1.1 -> 1.1
mnmx402 min 1.1 1 -> 1
mnmx403 min 1 1.0 -> 1.0
mnmx404 min 1.0 0.1 -> 0.1
mnmx405 min 0.1 0.10 -> 0.10
mnmx406 min 0.10 0.100 -> 0.100
mnmx407 min 0.10 0 -> 0
mnmx408 min 0 0.0 -> 0.0
mnmx409 min 0.0 -0 -> -0
mnmx410 min 0.0 -0.0 -> -0.0
mnmx411 min 0.00 -0.0 -> -0.0
mnmx412 min 0.0 -0.00 -> -0.00
mnmx413 min 0 -0.0 -> -0.0
mnmx414 min 0 -0 -> -0
mnmx415 min -0.0 -0 -> -0
mnmx416 min -0 -0.100 -> -0.100
mnmx417 min -0.100 -0.10 -> -0.10
mnmx418 min -0.10 -0.1 -> -0.1
mnmx419 min -0.1 -1.0 -> -1.0
mnmx420 min -1.0 -1 -> -1
mnmx421 min -1 -1.1 -> -1.1
mnmx423 min -1.1 -Inf -> -Infinity
-- same with operands reversed
mnmx431 min 1.1 Inf -> 1.1
mnmx432 min 1 1.1 -> 1
mnmx433 min 1.0 1 -> 1.0
mnmx434 min 0.1 1.0 -> 0.1
mnmx435 min 0.10 0.1 -> 0.10
mnmx436 min 0.100 0.10 -> 0.100
mnmx437 min 0 0.10 -> 0
mnmx438 min 0.0 0 -> 0.0
mnmx439 min -0 0.0 -> -0
mnmx440 min -0.0 0.0 -> -0.0
mnmx441 min -0.0 0.00 -> -0.0
mnmx442 min -0.00 0.0 -> -0.00
mnmx443 min -0.0 0 -> -0.0
mnmx444 min -0 0 -> -0
mnmx445 min -0 -0.0 -> -0
mnmx446 min -0.100 -0 -> -0.100
mnmx447 min -0.10 -0.100 -> -0.10
mnmx448 min -0.1 -0.10 -> -0.1
mnmx449 min -1.0 -0.1 -> -1.0
mnmx450 min -1 -1.0 -> -1
mnmx451 min -1.1 -1 -> -1.1
mnmx453 min -Inf -1.1 -> -Infinity
-- largies
mnmx460 min 1000 1E+3 -> 1000
mnmx461 min 1E+3 1000 -> 1000
mnmx462 min 1000 -1E+3 -> -1E+3
mnmx463 min 1E+3 -1000 -> -1000
mnmx464 min -1000 1E+3 -> -1000
mnmx465 min -1E+3 1000 -> -1E+3
mnmx466 min -1000 -1E+3 -> -1E+3
mnmx467 min -1E+3 -1000 -> -1E+3
-- rounding (results treated as though plus)
maxexponent: 999999999
minexponent: -999999999
precision: 3
mnmx470 min 1 5 -> 1
mnmx471 min 10 50 -> 10
mnmx472 min 100 500 -> 100
mnmx473 min 1000 5000 -> 1.00E+3 Rounded
mnmx474 min 10000 50000 -> 1.00E+4 Rounded
mnmx475 min 6 50 -> 6
mnmx476 min 66 500 -> 66
mnmx477 min 666 5000 -> 666
mnmx478 min 6666 50000 -> 6.67E+3 Rounded Inexact
mnmx479 min 66666 500000 -> 6.67E+4 Rounded Inexact
mnmx480 min 33333 500000 -> 3.33E+4 Rounded Inexact
mnmx481 min 75401 1 -> 1
mnmx482 min 75402 10 -> 10
mnmx483 min 75403 100 -> 100
mnmx484 min 75404 1000 -> 1.00E+3 Rounded
mnmx485 min 75405 10000 -> 1.00E+4 Rounded
mnmx486 min 75406 6 -> 6
mnmx487 min 75407 66 -> 66
mnmx488 min 75408 666 -> 666
mnmx489 min 75409 6666 -> 6.67E+3 Rounded Inexact
mnmx490 min 75410 66666 -> 6.67E+4 Rounded Inexact
mnmx491 min 75411 33333 -> 3.33E+4 Rounded Inexact
-- overflow tests
maxexponent: 999999999
minexponent: -999999999
precision: 3
mnmx500 min 9.999E+999999999 0 -> 0
mnmx501 min -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
-- subnormals and underflow
precision: 3
maxexponent: 999
minexponent: -999
mnmx510 min 1.00E-999 0 -> 0
mnmx511 min 0.1E-999 0 -> 0
mnmx512 min 0.10E-999 0 -> 0
mnmx513 min 0.100E-999 0 -> 0
mnmx514 min 0.01E-999 0 -> 0
mnmx515 min 0.999E-999 0 -> 0
mnmx516 min 0.099E-999 0 -> 0
mnmx517 min 0.009E-999 0 -> 0
mnmx518 min 0.001E-999 0 -> 0
mnmx519 min 0.0009E-999 0 -> 0
mnmx520 min 0.0001E-999 0 -> 0
mnmx530 min -1.00E-999 0 -> -1.00E-999
mnmx531 min -0.1E-999 0 -> -1E-1000 Subnormal
mnmx532 min -0.10E-999 0 -> -1.0E-1000 Subnormal
mnmx533 min -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
mnmx534 min -0.01E-999 0 -> -1E-1001 Subnormal
-- next is rounded to Nmin
mnmx535 min -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
mnmx536 min -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
mnmx537 min -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
mnmx538 min -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
mnmx539 min -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
mnmx540 min -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
-- misalignment traps for little-endian
precision: 9
mnmx551 min 1.0 0.1 -> 0.1
mnmx552 min 0.1 1.0 -> 0.1
mnmx553 min 10.0 0.1 -> 0.1
mnmx554 min 0.1 10.0 -> 0.1
mnmx555 min 100 1.0 -> 1.0
mnmx556 min 1.0 100 -> 1.0
mnmx557 min 1000 10.0 -> 10.0
mnmx558 min 10.0 1000 -> 10.0
mnmx559 min 10000 100.0 -> 100.0
mnmx560 min 100.0 10000 -> 100.0
mnmx561 min 100000 1000.0 -> 1000.0
mnmx562 min 1000.0 100000 -> 1000.0
mnmx563 min 1000000 10000.0 -> 10000.0
mnmx564 min 10000.0 1000000 -> 10000.0
-- Null tests
mnm900 min 10 # -> NaN Invalid_operation
mnm901 min # 10 -> NaN Invalid_operation