| ------------------------------------------------------------------------ |
| -- min.decTest -- decimal minimum -- |
| -- 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 |
| 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 |
| |
| -- rounding (results treated as though plus) |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| precision: 3 |
| |
| mnmx470 min 1 5 -> 1 |
| mnmx471 min 10 50 -> 10 |
| mnmx472 min 100 500 -> 100 |
| mnmx473 min 1000 5000 -> 1.00E+3 Rounded |
| mnmx474 min 10000 50000 -> 1.00E+4 Rounded |
| mnmx475 min 6 50 -> 6 |
| mnmx476 min 66 500 -> 66 |
| mnmx477 min 666 5000 -> 666 |
| mnmx478 min 6666 50000 -> 6.67E+3 Rounded Inexact |
| mnmx479 min 66666 500000 -> 6.67E+4 Rounded Inexact |
| mnmx480 min 33333 500000 -> 3.33E+4 Rounded Inexact |
| mnmx481 min 75401 1 -> 1 |
| mnmx482 min 75402 10 -> 10 |
| mnmx483 min 75403 100 -> 100 |
| mnmx484 min 75404 1000 -> 1.00E+3 Rounded |
| mnmx485 min 75405 10000 -> 1.00E+4 Rounded |
| mnmx486 min 75406 6 -> 6 |
| mnmx487 min 75407 66 -> 66 |
| mnmx488 min 75408 666 -> 666 |
| mnmx489 min 75409 6666 -> 6.67E+3 Rounded Inexact |
| mnmx490 min 75410 66666 -> 6.67E+4 Rounded Inexact |
| mnmx491 min 75411 33333 -> 3.33E+4 Rounded Inexact |
| |
| |
| -- 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 Nmin |
| 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 Clamped |
| mnmx539 min -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped |
| mnmx540 min -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped |
| |
| -- misalignment traps for little-endian |
| precision: 9 |
| mnmx551 min 1.0 0.1 -> 0.1 |
| mnmx552 min 0.1 1.0 -> 0.1 |
| mnmx553 min 10.0 0.1 -> 0.1 |
| mnmx554 min 0.1 10.0 -> 0.1 |
| mnmx555 min 100 1.0 -> 1.0 |
| mnmx556 min 1.0 100 -> 1.0 |
| mnmx557 min 1000 10.0 -> 10.0 |
| mnmx558 min 10.0 1000 -> 10.0 |
| mnmx559 min 10000 100.0 -> 100.0 |
| mnmx560 min 100.0 10000 -> 100.0 |
| mnmx561 min 100000 1000.0 -> 1000.0 |
| mnmx562 min 1000.0 100000 -> 1000.0 |
| mnmx563 min 1000000 10000.0 -> 10000.0 |
| mnmx564 min 10000.0 1000000 -> 10000.0 |
| |
| -- Null tests |
| mnm900 min 10 # -> NaN Invalid_operation |
| mnm901 min # 10 -> NaN Invalid_operation |
