diff options
Diffstat (limited to 'Lib/test/decimaltestdata/maxmag.decTest')
| -rw-r--r-- | Lib/test/decimaltestdata/maxmag.decTest | 808 |
1 files changed, 404 insertions, 404 deletions
diff --git a/Lib/test/decimaltestdata/maxmag.decTest b/Lib/test/decimaltestdata/maxmag.decTest index 6b44213..265e912 100644 --- a/Lib/test/decimaltestdata/maxmag.decTest +++ b/Lib/test/decimaltestdata/maxmag.decTest @@ -1,404 +1,404 @@ -------------------------------------------------------------------------
--- maxmag.decTest -- decimal maximum 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
-mxgx001 maxmag -2 -2 -> -2
-mxgx002 maxmag -2 -1 -> -2
-mxgx003 maxmag -2 0 -> -2
-mxgx004 maxmag -2 1 -> -2
-mxgx005 maxmag -2 2 -> 2
-mxgx006 maxmag -1 -2 -> -2
-mxgx007 maxmag -1 -1 -> -1
-mxgx008 maxmag -1 0 -> -1
-mxgx009 maxmag -1 1 -> 1
-mxgx010 maxmag -1 2 -> 2
-mxgx011 maxmag 0 -2 -> -2
-mxgx012 maxmag 0 -1 -> -1
-mxgx013 maxmag 0 0 -> 0
-mxgx014 maxmag 0 1 -> 1
-mxgx015 maxmag 0 2 -> 2
-mxgx016 maxmag 1 -2 -> -2
-mxgx017 maxmag 1 -1 -> 1
-mxgx018 maxmag 1 0 -> 1
-mxgx019 maxmag 1 1 -> 1
-mxgx020 maxmag 1 2 -> 2
-mxgx021 maxmag 2 -2 -> 2
-mxgx022 maxmag 2 -1 -> 2
-mxgx023 maxmag 2 0 -> 2
-mxgx025 maxmag 2 1 -> 2
-mxgx026 maxmag 2 2 -> 2
-
--- extended zeros
-mxgx030 maxmag 0 0 -> 0
-mxgx031 maxmag 0 -0 -> 0
-mxgx032 maxmag 0 -0.0 -> 0
-mxgx033 maxmag 0 0.0 -> 0
-mxgx034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen
-mxgx035 maxmag -0 -0 -> -0
-mxgx036 maxmag -0 -0.0 -> -0.0
-mxgx037 maxmag -0 0.0 -> 0.0
-mxgx038 maxmag 0.0 0 -> 0
-mxgx039 maxmag 0.0 -0 -> 0.0
-mxgx040 maxmag 0.0 -0.0 -> 0.0
-mxgx041 maxmag 0.0 0.0 -> 0.0
-mxgx042 maxmag -0.0 0 -> 0
-mxgx043 maxmag -0.0 -0 -> -0.0
-mxgx044 maxmag -0.0 -0.0 -> -0.0
-mxgx045 maxmag -0.0 0.0 -> 0.0
-
-mxgx050 maxmag -0E1 0E1 -> 0E+1
-mxgx051 maxmag -0E2 0E2 -> 0E+2
-mxgx052 maxmag -0E2 0E1 -> 0E+1
-mxgx053 maxmag -0E1 0E2 -> 0E+2
-mxgx054 maxmag 0E1 -0E1 -> 0E+1
-mxgx055 maxmag 0E2 -0E2 -> 0E+2
-mxgx056 maxmag 0E2 -0E1 -> 0E+2
-mxgx057 maxmag 0E1 -0E2 -> 0E+1
-
-mxgx058 maxmag 0E1 0E1 -> 0E+1
-mxgx059 maxmag 0E2 0E2 -> 0E+2
-mxgx060 maxmag 0E2 0E1 -> 0E+2
-mxgx061 maxmag 0E1 0E2 -> 0E+2
-mxgx062 maxmag -0E1 -0E1 -> -0E+1
-mxgx063 maxmag -0E2 -0E2 -> -0E+2
-mxgx064 maxmag -0E2 -0E1 -> -0E+1
-mxgx065 maxmag -0E1 -0E2 -> -0E+1
-
--- Specials
-precision: 9
-mxgx090 maxmag Inf -Inf -> Infinity
-mxgx091 maxmag Inf -1000 -> Infinity
-mxgx092 maxmag Inf -1 -> Infinity
-mxgx093 maxmag Inf -0 -> Infinity
-mxgx094 maxmag Inf 0 -> Infinity
-mxgx095 maxmag Inf 1 -> Infinity
-mxgx096 maxmag Inf 1000 -> Infinity
-mxgx097 maxmag Inf Inf -> Infinity
-mxgx098 maxmag -1000 Inf -> Infinity
-mxgx099 maxmag -Inf Inf -> Infinity
-mxgx100 maxmag -1 Inf -> Infinity
-mxgx101 maxmag -0 Inf -> Infinity
-mxgx102 maxmag 0 Inf -> Infinity
-mxgx103 maxmag 1 Inf -> Infinity
-mxgx104 maxmag 1000 Inf -> Infinity
-mxgx105 maxmag Inf Inf -> Infinity
-
-mxgx120 maxmag -Inf -Inf -> -Infinity
-mxgx121 maxmag -Inf -1000 -> -Infinity
-mxgx122 maxmag -Inf -1 -> -Infinity
-mxgx123 maxmag -Inf -0 -> -Infinity
-mxgx124 maxmag -Inf 0 -> -Infinity
-mxgx125 maxmag -Inf 1 -> -Infinity
-mxgx126 maxmag -Inf 1000 -> -Infinity
-mxgx127 maxmag -Inf Inf -> Infinity
-mxgx128 maxmag -Inf -Inf -> -Infinity
-mxgx129 maxmag -1000 -Inf -> -Infinity
-mxgx130 maxmag -1 -Inf -> -Infinity
-mxgx131 maxmag -0 -Inf -> -Infinity
-mxgx132 maxmag 0 -Inf -> -Infinity
-mxgx133 maxmag 1 -Inf -> -Infinity
-mxgx134 maxmag 1000 -Inf -> -Infinity
-mxgx135 maxmag Inf -Inf -> Infinity
-
--- 2004.08.02 754r chooses number over NaN in mixed cases
-mxgx141 maxmag NaN -Inf -> -Infinity
-mxgx142 maxmag NaN -1000 -> -1000
-mxgx143 maxmag NaN -1 -> -1
-mxgx144 maxmag NaN -0 -> -0
-mxgx145 maxmag NaN 0 -> 0
-mxgx146 maxmag NaN 1 -> 1
-mxgx147 maxmag NaN 1000 -> 1000
-mxgx148 maxmag NaN Inf -> Infinity
-mxgx149 maxmag NaN NaN -> NaN
-mxgx150 maxmag -Inf NaN -> -Infinity
-mxgx151 maxmag -1000 NaN -> -1000
-mxgx152 maxmag -1 NaN -> -1
-mxgx153 maxmag -0 NaN -> -0
-mxgx154 maxmag 0 NaN -> 0
-mxgx155 maxmag 1 NaN -> 1
-mxgx156 maxmag 1000 NaN -> 1000
-mxgx157 maxmag Inf NaN -> Infinity
-
-mxgx161 maxmag sNaN -Inf -> NaN Invalid_operation
-mxgx162 maxmag sNaN -1000 -> NaN Invalid_operation
-mxgx163 maxmag sNaN -1 -> NaN Invalid_operation
-mxgx164 maxmag sNaN -0 -> NaN Invalid_operation
-mxgx165 maxmag sNaN 0 -> NaN Invalid_operation
-mxgx166 maxmag sNaN 1 -> NaN Invalid_operation
-mxgx167 maxmag sNaN 1000 -> NaN Invalid_operation
-mxgx168 maxmag sNaN NaN -> NaN Invalid_operation
-mxgx169 maxmag sNaN sNaN -> NaN Invalid_operation
-mxgx170 maxmag NaN sNaN -> NaN Invalid_operation
-mxgx171 maxmag -Inf sNaN -> NaN Invalid_operation
-mxgx172 maxmag -1000 sNaN -> NaN Invalid_operation
-mxgx173 maxmag -1 sNaN -> NaN Invalid_operation
-mxgx174 maxmag -0 sNaN -> NaN Invalid_operation
-mxgx175 maxmag 0 sNaN -> NaN Invalid_operation
-mxgx176 maxmag 1 sNaN -> NaN Invalid_operation
-mxgx177 maxmag 1000 sNaN -> NaN Invalid_operation
-mxgx178 maxmag Inf sNaN -> NaN Invalid_operation
-mxgx179 maxmag NaN sNaN -> NaN Invalid_operation
-
--- propagating NaNs
-mxgx181 maxmag NaN9 -Inf -> -Infinity
-mxgx182 maxmag NaN8 9 -> 9
-mxgx183 maxmag -NaN7 Inf -> Infinity
-
-mxgx184 maxmag -NaN1 NaN11 -> -NaN1
-mxgx185 maxmag NaN2 NaN12 -> NaN2
-mxgx186 maxmag -NaN13 -NaN7 -> -NaN13
-mxgx187 maxmag NaN14 -NaN5 -> NaN14
-
-mxgx188 maxmag -Inf NaN4 -> -Infinity
-mxgx189 maxmag -9 -NaN3 -> -9
-mxgx190 maxmag Inf NaN2 -> Infinity
-
-mxgx191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation
-mxgx192 maxmag sNaN98 -1 -> NaN98 Invalid_operation
-mxgx193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation
-mxgx194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation
-mxgx195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation
-mxgx196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation
-mxgx197 maxmag 0 sNaN91 -> NaN91 Invalid_operation
-mxgx198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation
-mxgx199 maxmag NaN sNaN89 -> NaN89 Invalid_operation
-
--- rounding checks
-maxexponent: 999
-minexponent: -999
-precision: 9
-mxgx201 maxmag 12345678000 1 -> 1.23456780E+10 Rounded
-mxgx202 maxmag 1 12345678000 -> 1.23456780E+10 Rounded
-mxgx203 maxmag 1234567800 1 -> 1.23456780E+9 Rounded
-mxgx204 maxmag 1 1234567800 -> 1.23456780E+9 Rounded
-mxgx205 maxmag 1234567890 1 -> 1.23456789E+9 Rounded
-mxgx206 maxmag 1 1234567890 -> 1.23456789E+9 Rounded
-mxgx207 maxmag 1234567891 1 -> 1.23456789E+9 Inexact Rounded
-mxgx208 maxmag 1 1234567891 -> 1.23456789E+9 Inexact Rounded
-mxgx209 maxmag 12345678901 1 -> 1.23456789E+10 Inexact Rounded
-mxgx210 maxmag 1 12345678901 -> 1.23456789E+10 Inexact Rounded
-mxgx211 maxmag 1234567896 1 -> 1.23456790E+9 Inexact Rounded
-mxgx212 maxmag 1 1234567896 -> 1.23456790E+9 Inexact Rounded
-mxgx213 maxmag -1234567891 1 -> -1.23456789E+9 Inexact Rounded
-mxgx214 maxmag 1 -1234567891 -> -1.23456789E+9 Inexact Rounded
-mxgx215 maxmag -12345678901 1 -> -1.23456789E+10 Inexact Rounded
-mxgx216 maxmag 1 -12345678901 -> -1.23456789E+10 Inexact Rounded
-mxgx217 maxmag -1234567896 1 -> -1.23456790E+9 Inexact Rounded
-mxgx218 maxmag 1 -1234567896 -> -1.23456790E+9 Inexact Rounded
-
-precision: 15
-mxgx221 maxmag 12345678000 1 -> 12345678000
-mxgx222 maxmag 1 12345678000 -> 12345678000
-mxgx223 maxmag 1234567800 1 -> 1234567800
-mxgx224 maxmag 1 1234567800 -> 1234567800
-mxgx225 maxmag 1234567890 1 -> 1234567890
-mxgx226 maxmag 1 1234567890 -> 1234567890
-mxgx227 maxmag 1234567891 1 -> 1234567891
-mxgx228 maxmag 1 1234567891 -> 1234567891
-mxgx229 maxmag 12345678901 1 -> 12345678901
-mxgx230 maxmag 1 12345678901 -> 12345678901
-mxgx231 maxmag 1234567896 1 -> 1234567896
-mxgx232 maxmag 1 1234567896 -> 1234567896
-mxgx233 maxmag -1234567891 1 -> -1234567891
-mxgx234 maxmag 1 -1234567891 -> -1234567891
-mxgx235 maxmag -12345678901 1 -> -12345678901
-mxgx236 maxmag 1 -12345678901 -> -12345678901
-mxgx237 maxmag -1234567896 1 -> -1234567896
-mxgx238 maxmag 1 -1234567896 -> -1234567896
-
--- from examples
-mxgx280 maxmag '3' '2' -> '3'
-mxgx281 maxmag '-10' '3' -> '-10'
-mxgx282 maxmag '1.0' '1' -> '1'
-mxgx283 maxmag '1' '1.0' -> '1'
-mxgx284 maxmag '7' 'NaN' -> '7'
-
--- overflow and underflow tests ...
-maxExponent: 999999999
-minexponent: -999999999
-mxgx330 maxmag +1.23456789012345E-0 9E+999999999 -> 9E+999999999
-mxgx331 maxmag 9E+999999999 +1.23456789012345E-0 -> 9E+999999999
-mxgx332 maxmag +0.100 9E-999999999 -> 0.100
-mxgx333 maxmag 9E-999999999 +0.100 -> 0.100
-mxgx335 maxmag -1.23456789012345E-0 9E+999999999 -> 9E+999999999
-mxgx336 maxmag 9E+999999999 -1.23456789012345E-0 -> 9E+999999999
-mxgx337 maxmag -0.100 9E-999999999 -> -0.100
-mxgx338 maxmag 9E-999999999 -0.100 -> -0.100
-
-mxgx339 maxmag 1e-599999999 1e-400000001 -> 1E-400000001
-mxgx340 maxmag 1e-599999999 1e-400000000 -> 1E-400000000
-mxgx341 maxmag 1e-600000000 1e-400000000 -> 1E-400000000
-mxgx342 maxmag 9e-999999998 0.01 -> 0.01
-mxgx343 maxmag 9e-999999998 0.1 -> 0.1
-mxgx344 maxmag 0.01 9e-999999998 -> 0.01
-mxgx345 maxmag 1e599999999 1e400000001 -> 1E+599999999
-mxgx346 maxmag 1e599999999 1e400000000 -> 1E+599999999
-mxgx347 maxmag 1e600000000 1e400000000 -> 1E+600000000
-mxgx348 maxmag 9e999999998 100 -> 9E+999999998
-mxgx349 maxmag 9e999999998 10 -> 9E+999999998
-mxgx350 maxmag 100 9e999999998 -> 9E+999999998
--- signs
-mxgx351 maxmag 1e+777777777 1e+411111111 -> 1E+777777777
-mxgx352 maxmag 1e+777777777 -1e+411111111 -> 1E+777777777
-mxgx353 maxmag -1e+777777777 1e+411111111 -> -1E+777777777
-mxgx354 maxmag -1e+777777777 -1e+411111111 -> -1E+777777777
-mxgx355 maxmag 1e-777777777 1e-411111111 -> 1E-411111111
-mxgx356 maxmag 1e-777777777 -1e-411111111 -> -1E-411111111
-mxgx357 maxmag -1e-777777777 1e-411111111 -> 1E-411111111
-mxgx358 maxmag -1e-777777777 -1e-411111111 -> -1E-411111111
-
--- expanded list from min/max 754r purple prose
--- [explicit tests for exponent ordering]
-mxgx401 maxmag Inf 1.1 -> Infinity
-mxgx402 maxmag 1.1 1 -> 1.1
-mxgx403 maxmag 1 1.0 -> 1
-mxgx404 maxmag 1.0 0.1 -> 1.0
-mxgx405 maxmag 0.1 0.10 -> 0.1
-mxgx406 maxmag 0.10 0.100 -> 0.10
-mxgx407 maxmag 0.10 0 -> 0.10
-mxgx408 maxmag 0 0.0 -> 0
-mxgx409 maxmag 0.0 -0 -> 0.0
-mxgx410 maxmag 0.0 -0.0 -> 0.0
-mxgx411 maxmag 0.00 -0.0 -> 0.00
-mxgx412 maxmag 0.0 -0.00 -> 0.0
-mxgx413 maxmag 0 -0.0 -> 0
-mxgx414 maxmag 0 -0 -> 0
-mxgx415 maxmag -0.0 -0 -> -0.0
-mxgx416 maxmag -0 -0.100 -> -0.100
-mxgx417 maxmag -0.100 -0.10 -> -0.100
-mxgx418 maxmag -0.10 -0.1 -> -0.10
-mxgx419 maxmag -0.1 -1.0 -> -1.0
-mxgx420 maxmag -1.0 -1 -> -1.0
-mxgx421 maxmag -1 -1.1 -> -1.1
-mxgx423 maxmag -1.1 -Inf -> -Infinity
--- same with operands reversed
-mxgx431 maxmag 1.1 Inf -> Infinity
-mxgx432 maxmag 1 1.1 -> 1.1
-mxgx433 maxmag 1.0 1 -> 1
-mxgx434 maxmag 0.1 1.0 -> 1.0
-mxgx435 maxmag 0.10 0.1 -> 0.1
-mxgx436 maxmag 0.100 0.10 -> 0.10
-mxgx437 maxmag 0 0.10 -> 0.10
-mxgx438 maxmag 0.0 0 -> 0
-mxgx439 maxmag -0 0.0 -> 0.0
-mxgx440 maxmag -0.0 0.0 -> 0.0
-mxgx441 maxmag -0.0 0.00 -> 0.00
-mxgx442 maxmag -0.00 0.0 -> 0.0
-mxgx443 maxmag -0.0 0 -> 0
-mxgx444 maxmag -0 0 -> 0
-mxgx445 maxmag -0 -0.0 -> -0.0
-mxgx446 maxmag -0.100 -0 -> -0.100
-mxgx447 maxmag -0.10 -0.100 -> -0.100
-mxgx448 maxmag -0.1 -0.10 -> -0.10
-mxgx449 maxmag -1.0 -0.1 -> -1.0
-mxgx450 maxmag -1 -1.0 -> -1.0
-mxgx451 maxmag -1.1 -1 -> -1.1
-mxgx453 maxmag -Inf -1.1 -> -Infinity
--- largies
-mxgx460 maxmag 1000 1E+3 -> 1E+3
-mxgx461 maxmag 1E+3 1000 -> 1E+3
-mxgx462 maxmag 1000 -1E+3 -> 1000
-mxgx463 maxmag 1E+3 -1000 -> 1E+3
-mxgx464 maxmag -1000 1E+3 -> 1E+3
-mxgx465 maxmag -1E+3 1000 -> 1000
-mxgx466 maxmag -1000 -1E+3 -> -1000
-mxgx467 maxmag -1E+3 -1000 -> -1000
-
--- rounding (results treated as though plus)
-maxexponent: 999999999
-minexponent: -999999999
-precision: 3
-
-mxgx470 maxmag 1 .5 -> 1
-mxgx471 maxmag 10 5 -> 10
-mxgx472 maxmag 100 50 -> 100
-mxgx473 maxmag 1000 500 -> 1.00E+3 Rounded
-mxgx474 maxmag 10000 5000 -> 1.00E+4 Rounded
-mxgx475 maxmag 6 .5 -> 6
-mxgx476 maxmag 66 5 -> 66
-mxgx477 maxmag 666 50 -> 666
-mxgx478 maxmag 6666 500 -> 6.67E+3 Rounded Inexact
-mxgx479 maxmag 66666 5000 -> 6.67E+4 Rounded Inexact
-mxgx480 maxmag 33333 5000 -> 3.33E+4 Rounded Inexact
-mxgx481 maxmag .5 1 -> 1
-mxgx482 maxmag .5 10 -> 10
-mxgx483 maxmag .5 100 -> 100
-mxgx484 maxmag .5 1000 -> 1.00E+3 Rounded
-mxgx485 maxmag .5 10000 -> 1.00E+4 Rounded
-mxgx486 maxmag .5 6 -> 6
-mxgx487 maxmag .5 66 -> 66
-mxgx488 maxmag .5 666 -> 666
-mxgx489 maxmag .5 6666 -> 6.67E+3 Rounded Inexact
-mxgx490 maxmag .5 66666 -> 6.67E+4 Rounded Inexact
-mxgx491 maxmag .5 33333 -> 3.33E+4 Rounded Inexact
-
--- overflow tests
-maxexponent: 999999999
-minexponent: -999999999
-precision: 3
-mxgx500 maxmag 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
-mxgx501 maxmag -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
-
--- subnormals and underflow
-precision: 3
-maxexponent: 999
-minexponent: -999
-mxgx510 maxmag 1.00E-999 0 -> 1.00E-999
-mxgx511 maxmag 0.1E-999 0 -> 1E-1000 Subnormal
-mxgx512 maxmag 0.10E-999 0 -> 1.0E-1000 Subnormal
-mxgx513 maxmag 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
-mxgx514 maxmag 0.01E-999 0 -> 1E-1001 Subnormal
--- next is rounded to Nmin
-mxgx515 maxmag 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
-mxgx516 maxmag 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
-mxgx517 maxmag 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
-mxgx518 maxmag 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
-mxgx519 maxmag 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
-mxgx520 maxmag 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
-
-mxgx530 maxmag -1.00E-999 0 -> -1.00E-999
-mxgx531 maxmag -0.1E-999 0 -> -1E-1000 Subnormal
-mxgx532 maxmag -0.10E-999 0 -> -1.0E-1000 Subnormal
-mxgx533 maxmag -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
-mxgx534 maxmag -0.01E-999 0 -> -1E-1001 Subnormal
--- next is rounded to -Nmin
-mxgx535 maxmag -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
-mxgx536 maxmag -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
-mxgx537 maxmag -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
-mxgx538 maxmag -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
-mxgx539 maxmag -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
-mxgx540 maxmag -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
-
--- Null tests
-mxgx900 maxmag 10 # -> NaN Invalid_operation
-mxgx901 maxmag # 10 -> NaN Invalid_operation
-
-
-
+------------------------------------------------------------------------ +-- maxmag.decTest -- decimal maximum 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 +mxgx001 maxmag -2 -2 -> -2 +mxgx002 maxmag -2 -1 -> -2 +mxgx003 maxmag -2 0 -> -2 +mxgx004 maxmag -2 1 -> -2 +mxgx005 maxmag -2 2 -> 2 +mxgx006 maxmag -1 -2 -> -2 +mxgx007 maxmag -1 -1 -> -1 +mxgx008 maxmag -1 0 -> -1 +mxgx009 maxmag -1 1 -> 1 +mxgx010 maxmag -1 2 -> 2 +mxgx011 maxmag 0 -2 -> -2 +mxgx012 maxmag 0 -1 -> -1 +mxgx013 maxmag 0 0 -> 0 +mxgx014 maxmag 0 1 -> 1 +mxgx015 maxmag 0 2 -> 2 +mxgx016 maxmag 1 -2 -> -2 +mxgx017 maxmag 1 -1 -> 1 +mxgx018 maxmag 1 0 -> 1 +mxgx019 maxmag 1 1 -> 1 +mxgx020 maxmag 1 2 -> 2 +mxgx021 maxmag 2 -2 -> 2 +mxgx022 maxmag 2 -1 -> 2 +mxgx023 maxmag 2 0 -> 2 +mxgx025 maxmag 2 1 -> 2 +mxgx026 maxmag 2 2 -> 2 + +-- extended zeros +mxgx030 maxmag 0 0 -> 0 +mxgx031 maxmag 0 -0 -> 0 +mxgx032 maxmag 0 -0.0 -> 0 +mxgx033 maxmag 0 0.0 -> 0 +mxgx034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen +mxgx035 maxmag -0 -0 -> -0 +mxgx036 maxmag -0 -0.0 -> -0.0 +mxgx037 maxmag -0 0.0 -> 0.0 +mxgx038 maxmag 0.0 0 -> 0 +mxgx039 maxmag 0.0 -0 -> 0.0 +mxgx040 maxmag 0.0 -0.0 -> 0.0 +mxgx041 maxmag 0.0 0.0 -> 0.0 +mxgx042 maxmag -0.0 0 -> 0 +mxgx043 maxmag -0.0 -0 -> -0.0 +mxgx044 maxmag -0.0 -0.0 -> -0.0 +mxgx045 maxmag -0.0 0.0 -> 0.0 + +mxgx050 maxmag -0E1 0E1 -> 0E+1 +mxgx051 maxmag -0E2 0E2 -> 0E+2 +mxgx052 maxmag -0E2 0E1 -> 0E+1 +mxgx053 maxmag -0E1 0E2 -> 0E+2 +mxgx054 maxmag 0E1 -0E1 -> 0E+1 +mxgx055 maxmag 0E2 -0E2 -> 0E+2 +mxgx056 maxmag 0E2 -0E1 -> 0E+2 +mxgx057 maxmag 0E1 -0E2 -> 0E+1 + +mxgx058 maxmag 0E1 0E1 -> 0E+1 +mxgx059 maxmag 0E2 0E2 -> 0E+2 +mxgx060 maxmag 0E2 0E1 -> 0E+2 +mxgx061 maxmag 0E1 0E2 -> 0E+2 +mxgx062 maxmag -0E1 -0E1 -> -0E+1 +mxgx063 maxmag -0E2 -0E2 -> -0E+2 +mxgx064 maxmag -0E2 -0E1 -> -0E+1 +mxgx065 maxmag -0E1 -0E2 -> -0E+1 + +-- Specials +precision: 9 +mxgx090 maxmag Inf -Inf -> Infinity +mxgx091 maxmag Inf -1000 -> Infinity +mxgx092 maxmag Inf -1 -> Infinity +mxgx093 maxmag Inf -0 -> Infinity +mxgx094 maxmag Inf 0 -> Infinity +mxgx095 maxmag Inf 1 -> Infinity +mxgx096 maxmag Inf 1000 -> Infinity +mxgx097 maxmag Inf Inf -> Infinity +mxgx098 maxmag -1000 Inf -> Infinity +mxgx099 maxmag -Inf Inf -> Infinity +mxgx100 maxmag -1 Inf -> Infinity +mxgx101 maxmag -0 Inf -> Infinity +mxgx102 maxmag 0 Inf -> Infinity +mxgx103 maxmag 1 Inf -> Infinity +mxgx104 maxmag 1000 Inf -> Infinity +mxgx105 maxmag Inf Inf -> Infinity + +mxgx120 maxmag -Inf -Inf -> -Infinity +mxgx121 maxmag -Inf -1000 -> -Infinity +mxgx122 maxmag -Inf -1 -> -Infinity +mxgx123 maxmag -Inf -0 -> -Infinity +mxgx124 maxmag -Inf 0 -> -Infinity +mxgx125 maxmag -Inf 1 -> -Infinity +mxgx126 maxmag -Inf 1000 -> -Infinity +mxgx127 maxmag -Inf Inf -> Infinity +mxgx128 maxmag -Inf -Inf -> -Infinity +mxgx129 maxmag -1000 -Inf -> -Infinity +mxgx130 maxmag -1 -Inf -> -Infinity +mxgx131 maxmag -0 -Inf -> -Infinity +mxgx132 maxmag 0 -Inf -> -Infinity +mxgx133 maxmag 1 -Inf -> -Infinity +mxgx134 maxmag 1000 -Inf -> -Infinity +mxgx135 maxmag Inf -Inf -> Infinity + +-- 2004.08.02 754r chooses number over NaN in mixed cases +mxgx141 maxmag NaN -Inf -> -Infinity +mxgx142 maxmag NaN -1000 -> -1000 +mxgx143 maxmag NaN -1 -> -1 +mxgx144 maxmag NaN -0 -> -0 +mxgx145 maxmag NaN 0 -> 0 +mxgx146 maxmag NaN 1 -> 1 +mxgx147 maxmag NaN 1000 -> 1000 +mxgx148 maxmag NaN Inf -> Infinity +mxgx149 maxmag NaN NaN -> NaN +mxgx150 maxmag -Inf NaN -> -Infinity +mxgx151 maxmag -1000 NaN -> -1000 +mxgx152 maxmag -1 NaN -> -1 +mxgx153 maxmag -0 NaN -> -0 +mxgx154 maxmag 0 NaN -> 0 +mxgx155 maxmag 1 NaN -> 1 +mxgx156 maxmag 1000 NaN -> 1000 +mxgx157 maxmag Inf NaN -> Infinity + +mxgx161 maxmag sNaN -Inf -> NaN Invalid_operation +mxgx162 maxmag sNaN -1000 -> NaN Invalid_operation +mxgx163 maxmag sNaN -1 -> NaN Invalid_operation +mxgx164 maxmag sNaN -0 -> NaN Invalid_operation +mxgx165 maxmag sNaN 0 -> NaN Invalid_operation +mxgx166 maxmag sNaN 1 -> NaN Invalid_operation +mxgx167 maxmag sNaN 1000 -> NaN Invalid_operation +mxgx168 maxmag sNaN NaN -> NaN Invalid_operation +mxgx169 maxmag sNaN sNaN -> NaN Invalid_operation +mxgx170 maxmag NaN sNaN -> NaN Invalid_operation +mxgx171 maxmag -Inf sNaN -> NaN Invalid_operation +mxgx172 maxmag -1000 sNaN -> NaN Invalid_operation +mxgx173 maxmag -1 sNaN -> NaN Invalid_operation +mxgx174 maxmag -0 sNaN -> NaN Invalid_operation +mxgx175 maxmag 0 sNaN -> NaN Invalid_operation +mxgx176 maxmag 1 sNaN -> NaN Invalid_operation +mxgx177 maxmag 1000 sNaN -> NaN Invalid_operation +mxgx178 maxmag Inf sNaN -> NaN Invalid_operation +mxgx179 maxmag NaN sNaN -> NaN Invalid_operation + +-- propagating NaNs +mxgx181 maxmag NaN9 -Inf -> -Infinity +mxgx182 maxmag NaN8 9 -> 9 +mxgx183 maxmag -NaN7 Inf -> Infinity + +mxgx184 maxmag -NaN1 NaN11 -> -NaN1 +mxgx185 maxmag NaN2 NaN12 -> NaN2 +mxgx186 maxmag -NaN13 -NaN7 -> -NaN13 +mxgx187 maxmag NaN14 -NaN5 -> NaN14 + +mxgx188 maxmag -Inf NaN4 -> -Infinity +mxgx189 maxmag -9 -NaN3 -> -9 +mxgx190 maxmag Inf NaN2 -> Infinity + +mxgx191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation +mxgx192 maxmag sNaN98 -1 -> NaN98 Invalid_operation +mxgx193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation +mxgx194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation +mxgx195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation +mxgx196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation +mxgx197 maxmag 0 sNaN91 -> NaN91 Invalid_operation +mxgx198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation +mxgx199 maxmag NaN sNaN89 -> NaN89 Invalid_operation + +-- rounding checks +maxexponent: 999 +minexponent: -999 +precision: 9 +mxgx201 maxmag 12345678000 1 -> 1.23456780E+10 Rounded +mxgx202 maxmag 1 12345678000 -> 1.23456780E+10 Rounded +mxgx203 maxmag 1234567800 1 -> 1.23456780E+9 Rounded +mxgx204 maxmag 1 1234567800 -> 1.23456780E+9 Rounded +mxgx205 maxmag 1234567890 1 -> 1.23456789E+9 Rounded +mxgx206 maxmag 1 1234567890 -> 1.23456789E+9 Rounded +mxgx207 maxmag 1234567891 1 -> 1.23456789E+9 Inexact Rounded +mxgx208 maxmag 1 1234567891 -> 1.23456789E+9 Inexact Rounded +mxgx209 maxmag 12345678901 1 -> 1.23456789E+10 Inexact Rounded +mxgx210 maxmag 1 12345678901 -> 1.23456789E+10 Inexact Rounded +mxgx211 maxmag 1234567896 1 -> 1.23456790E+9 Inexact Rounded +mxgx212 maxmag 1 1234567896 -> 1.23456790E+9 Inexact Rounded +mxgx213 maxmag -1234567891 1 -> -1.23456789E+9 Inexact Rounded +mxgx214 maxmag 1 -1234567891 -> -1.23456789E+9 Inexact Rounded +mxgx215 maxmag -12345678901 1 -> -1.23456789E+10 Inexact Rounded +mxgx216 maxmag 1 -12345678901 -> -1.23456789E+10 Inexact Rounded +mxgx217 maxmag -1234567896 1 -> -1.23456790E+9 Inexact Rounded +mxgx218 maxmag 1 -1234567896 -> -1.23456790E+9 Inexact Rounded + +precision: 15 +mxgx221 maxmag 12345678000 1 -> 12345678000 +mxgx222 maxmag 1 12345678000 -> 12345678000 +mxgx223 maxmag 1234567800 1 -> 1234567800 +mxgx224 maxmag 1 1234567800 -> 1234567800 +mxgx225 maxmag 1234567890 1 -> 1234567890 +mxgx226 maxmag 1 1234567890 -> 1234567890 +mxgx227 maxmag 1234567891 1 -> 1234567891 +mxgx228 maxmag 1 1234567891 -> 1234567891 +mxgx229 maxmag 12345678901 1 -> 12345678901 +mxgx230 maxmag 1 12345678901 -> 12345678901 +mxgx231 maxmag 1234567896 1 -> 1234567896 +mxgx232 maxmag 1 1234567896 -> 1234567896 +mxgx233 maxmag -1234567891 1 -> -1234567891 +mxgx234 maxmag 1 -1234567891 -> -1234567891 +mxgx235 maxmag -12345678901 1 -> -12345678901 +mxgx236 maxmag 1 -12345678901 -> -12345678901 +mxgx237 maxmag -1234567896 1 -> -1234567896 +mxgx238 maxmag 1 -1234567896 -> -1234567896 + +-- from examples +mxgx280 maxmag '3' '2' -> '3' +mxgx281 maxmag '-10' '3' -> '-10' +mxgx282 maxmag '1.0' '1' -> '1' +mxgx283 maxmag '1' '1.0' -> '1' +mxgx284 maxmag '7' 'NaN' -> '7' + +-- overflow and underflow tests ... +maxExponent: 999999999 +minexponent: -999999999 +mxgx330 maxmag +1.23456789012345E-0 9E+999999999 -> 9E+999999999 +mxgx331 maxmag 9E+999999999 +1.23456789012345E-0 -> 9E+999999999 +mxgx332 maxmag +0.100 9E-999999999 -> 0.100 +mxgx333 maxmag 9E-999999999 +0.100 -> 0.100 +mxgx335 maxmag -1.23456789012345E-0 9E+999999999 -> 9E+999999999 +mxgx336 maxmag 9E+999999999 -1.23456789012345E-0 -> 9E+999999999 +mxgx337 maxmag -0.100 9E-999999999 -> -0.100 +mxgx338 maxmag 9E-999999999 -0.100 -> -0.100 + +mxgx339 maxmag 1e-599999999 1e-400000001 -> 1E-400000001 +mxgx340 maxmag 1e-599999999 1e-400000000 -> 1E-400000000 +mxgx341 maxmag 1e-600000000 1e-400000000 -> 1E-400000000 +mxgx342 maxmag 9e-999999998 0.01 -> 0.01 +mxgx343 maxmag 9e-999999998 0.1 -> 0.1 +mxgx344 maxmag 0.01 9e-999999998 -> 0.01 +mxgx345 maxmag 1e599999999 1e400000001 -> 1E+599999999 +mxgx346 maxmag 1e599999999 1e400000000 -> 1E+599999999 +mxgx347 maxmag 1e600000000 1e400000000 -> 1E+600000000 +mxgx348 maxmag 9e999999998 100 -> 9E+999999998 +mxgx349 maxmag 9e999999998 10 -> 9E+999999998 +mxgx350 maxmag 100 9e999999998 -> 9E+999999998 +-- signs +mxgx351 maxmag 1e+777777777 1e+411111111 -> 1E+777777777 +mxgx352 maxmag 1e+777777777 -1e+411111111 -> 1E+777777777 +mxgx353 maxmag -1e+777777777 1e+411111111 -> -1E+777777777 +mxgx354 maxmag -1e+777777777 -1e+411111111 -> -1E+777777777 +mxgx355 maxmag 1e-777777777 1e-411111111 -> 1E-411111111 +mxgx356 maxmag 1e-777777777 -1e-411111111 -> -1E-411111111 +mxgx357 maxmag -1e-777777777 1e-411111111 -> 1E-411111111 +mxgx358 maxmag -1e-777777777 -1e-411111111 -> -1E-411111111 + +-- expanded list from min/max 754r purple prose +-- [explicit tests for exponent ordering] +mxgx401 maxmag Inf 1.1 -> Infinity +mxgx402 maxmag 1.1 1 -> 1.1 +mxgx403 maxmag 1 1.0 -> 1 +mxgx404 maxmag 1.0 0.1 -> 1.0 +mxgx405 maxmag 0.1 0.10 -> 0.1 +mxgx406 maxmag 0.10 0.100 -> 0.10 +mxgx407 maxmag 0.10 0 -> 0.10 +mxgx408 maxmag 0 0.0 -> 0 +mxgx409 maxmag 0.0 -0 -> 0.0 +mxgx410 maxmag 0.0 -0.0 -> 0.0 +mxgx411 maxmag 0.00 -0.0 -> 0.00 +mxgx412 maxmag 0.0 -0.00 -> 0.0 +mxgx413 maxmag 0 -0.0 -> 0 +mxgx414 maxmag 0 -0 -> 0 +mxgx415 maxmag -0.0 -0 -> -0.0 +mxgx416 maxmag -0 -0.100 -> -0.100 +mxgx417 maxmag -0.100 -0.10 -> -0.100 +mxgx418 maxmag -0.10 -0.1 -> -0.10 +mxgx419 maxmag -0.1 -1.0 -> -1.0 +mxgx420 maxmag -1.0 -1 -> -1.0 +mxgx421 maxmag -1 -1.1 -> -1.1 +mxgx423 maxmag -1.1 -Inf -> -Infinity +-- same with operands reversed +mxgx431 maxmag 1.1 Inf -> Infinity +mxgx432 maxmag 1 1.1 -> 1.1 +mxgx433 maxmag 1.0 1 -> 1 +mxgx434 maxmag 0.1 1.0 -> 1.0 +mxgx435 maxmag 0.10 0.1 -> 0.1 +mxgx436 maxmag 0.100 0.10 -> 0.10 +mxgx437 maxmag 0 0.10 -> 0.10 +mxgx438 maxmag 0.0 0 -> 0 +mxgx439 maxmag -0 0.0 -> 0.0 +mxgx440 maxmag -0.0 0.0 -> 0.0 +mxgx441 maxmag -0.0 0.00 -> 0.00 +mxgx442 maxmag -0.00 0.0 -> 0.0 +mxgx443 maxmag -0.0 0 -> 0 +mxgx444 maxmag -0 0 -> 0 +mxgx445 maxmag -0 -0.0 -> -0.0 +mxgx446 maxmag -0.100 -0 -> -0.100 +mxgx447 maxmag -0.10 -0.100 -> -0.100 +mxgx448 maxmag -0.1 -0.10 -> -0.10 +mxgx449 maxmag -1.0 -0.1 -> -1.0 +mxgx450 maxmag -1 -1.0 -> -1.0 +mxgx451 maxmag -1.1 -1 -> -1.1 +mxgx453 maxmag -Inf -1.1 -> -Infinity +-- largies +mxgx460 maxmag 1000 1E+3 -> 1E+3 +mxgx461 maxmag 1E+3 1000 -> 1E+3 +mxgx462 maxmag 1000 -1E+3 -> 1000 +mxgx463 maxmag 1E+3 -1000 -> 1E+3 +mxgx464 maxmag -1000 1E+3 -> 1E+3 +mxgx465 maxmag -1E+3 1000 -> 1000 +mxgx466 maxmag -1000 -1E+3 -> -1000 +mxgx467 maxmag -1E+3 -1000 -> -1000 + +-- rounding (results treated as though plus) +maxexponent: 999999999 +minexponent: -999999999 +precision: 3 + +mxgx470 maxmag 1 .5 -> 1 +mxgx471 maxmag 10 5 -> 10 +mxgx472 maxmag 100 50 -> 100 +mxgx473 maxmag 1000 500 -> 1.00E+3 Rounded +mxgx474 maxmag 10000 5000 -> 1.00E+4 Rounded +mxgx475 maxmag 6 .5 -> 6 +mxgx476 maxmag 66 5 -> 66 +mxgx477 maxmag 666 50 -> 666 +mxgx478 maxmag 6666 500 -> 6.67E+3 Rounded Inexact +mxgx479 maxmag 66666 5000 -> 6.67E+4 Rounded Inexact +mxgx480 maxmag 33333 5000 -> 3.33E+4 Rounded Inexact +mxgx481 maxmag .5 1 -> 1 +mxgx482 maxmag .5 10 -> 10 +mxgx483 maxmag .5 100 -> 100 +mxgx484 maxmag .5 1000 -> 1.00E+3 Rounded +mxgx485 maxmag .5 10000 -> 1.00E+4 Rounded +mxgx486 maxmag .5 6 -> 6 +mxgx487 maxmag .5 66 -> 66 +mxgx488 maxmag .5 666 -> 666 +mxgx489 maxmag .5 6666 -> 6.67E+3 Rounded Inexact +mxgx490 maxmag .5 66666 -> 6.67E+4 Rounded Inexact +mxgx491 maxmag .5 33333 -> 3.33E+4 Rounded Inexact + +-- overflow tests +maxexponent: 999999999 +minexponent: -999999999 +precision: 3 +mxgx500 maxmag 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded +mxgx501 maxmag -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded + +-- subnormals and underflow +precision: 3 +maxexponent: 999 +minexponent: -999 +mxgx510 maxmag 1.00E-999 0 -> 1.00E-999 +mxgx511 maxmag 0.1E-999 0 -> 1E-1000 Subnormal +mxgx512 maxmag 0.10E-999 0 -> 1.0E-1000 Subnormal +mxgx513 maxmag 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded +mxgx514 maxmag 0.01E-999 0 -> 1E-1001 Subnormal +-- next is rounded to Nmin +mxgx515 maxmag 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow +mxgx516 maxmag 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow +mxgx517 maxmag 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow +mxgx518 maxmag 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped +mxgx519 maxmag 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped +mxgx520 maxmag 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped + +mxgx530 maxmag -1.00E-999 0 -> -1.00E-999 +mxgx531 maxmag -0.1E-999 0 -> -1E-1000 Subnormal +mxgx532 maxmag -0.10E-999 0 -> -1.0E-1000 Subnormal +mxgx533 maxmag -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded +mxgx534 maxmag -0.01E-999 0 -> -1E-1001 Subnormal +-- next is rounded to -Nmin +mxgx535 maxmag -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow +mxgx536 maxmag -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow +mxgx537 maxmag -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow +mxgx538 maxmag -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped +mxgx539 maxmag -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped +mxgx540 maxmag -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped + +-- Null tests +mxgx900 maxmag 10 # -> NaN Invalid_operation +mxgx901 maxmag # 10 -> NaN Invalid_operation + + + |