| ------------------------------------------------------------------------ | |
| -- 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 |