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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
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