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✏️ min.decTest
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------------------------------------------------------------------------ -- 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
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