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✏️ minmag.decTest
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------------------------------------------------------------------------ -- 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
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