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- ------------------------------------------------------------------------
- -- min.decTest -- decimal minimum --
- -- Copyright (c) IBM Corporation, 1981, 2004. 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: 2.39
-
- -- 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
-
-
- -- 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 Emin
- 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
- mnmx539 min -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
- mnmx540 min -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
-
-
- -- Null tests
- mnm900 min 10 # -> NaN Invalid_operation
- mnm901 min # 10 -> NaN Invalid_operation
-