391 lines
15 KiB
Plaintext
391 lines
15 KiB
Plaintext
------------------------------------------------------------------------
|
|
-- minmag.decTest -- decimal minimum by magnitude --
|
|
-- 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 --
|
|
-- mfc@uk.ibm.com --
|
|
------------------------------------------------------------------------
|
|
version: 2.56
|
|
|
|
-- 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
|