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------------------------------------------------------------------------ -- maxmag.decTest -- decimal maximum 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 mxgx001 maxmag -2 -2 -> -2 mxgx002 maxmag -2 -1 -> -2 mxgx003 maxmag -2 0 -> -2 mxgx004 maxmag -2 1 -> -2 mxgx005 maxmag -2 2 -> 2 mxgx006 maxmag -1 -2 -> -2 mxgx007 maxmag -1 -1 -> -1 mxgx008 maxmag -1 0 -> -1 mxgx009 maxmag -1 1 -> 1 mxgx010 maxmag -1 2 -> 2 mxgx011 maxmag 0 -2 -> -2 mxgx012 maxmag 0 -1 -> -1 mxgx013 maxmag 0 0 -> 0 mxgx014 maxmag 0 1 -> 1 mxgx015 maxmag 0 2 -> 2 mxgx016 maxmag 1 -2 -> -2 mxgx017 maxmag 1 -1 -> 1 mxgx018 maxmag 1 0 -> 1 mxgx019 maxmag 1 1 -> 1 mxgx020 maxmag 1 2 -> 2 mxgx021 maxmag 2 -2 -> 2 mxgx022 maxmag 2 -1 -> 2 mxgx023 maxmag 2 0 -> 2 mxgx025 maxmag 2 1 -> 2 mxgx026 maxmag 2 2 -> 2 -- extended zeros mxgx030 maxmag 0 0 -> 0 mxgx031 maxmag 0 -0 -> 0 mxgx032 maxmag 0 -0.0 -> 0 mxgx033 maxmag 0 0.0 -> 0 mxgx034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen mxgx035 maxmag -0 -0 -> -0 mxgx036 maxmag -0 -0.0 -> -0.0 mxgx037 maxmag -0 0.0 -> 0.0 mxgx038 maxmag 0.0 0 -> 0 mxgx039 maxmag 0.0 -0 -> 0.0 mxgx040 maxmag 0.0 -0.0 -> 0.0 mxgx041 maxmag 0.0 0.0 -> 0.0 mxgx042 maxmag -0.0 0 -> 0 mxgx043 maxmag -0.0 -0 -> -0.0 mxgx044 maxmag -0.0 -0.0 -> -0.0 mxgx045 maxmag -0.0 0.0 -> 0.0 mxgx050 maxmag -0E1 0E1 -> 0E+1 mxgx051 maxmag -0E2 0E2 -> 0E+2 mxgx052 maxmag -0E2 0E1 -> 0E+1 mxgx053 maxmag -0E1 0E2 -> 0E+2 mxgx054 maxmag 0E1 -0E1 -> 0E+1 mxgx055 maxmag 0E2 -0E2 -> 0E+2 mxgx056 maxmag 0E2 -0E1 -> 0E+2 mxgx057 maxmag 0E1 -0E2 -> 0E+1 mxgx058 maxmag 0E1 0E1 -> 0E+1 mxgx059 maxmag 0E2 0E2 -> 0E+2 mxgx060 maxmag 0E2 0E1 -> 0E+2 mxgx061 maxmag 0E1 0E2 -> 0E+2 mxgx062 maxmag -0E1 -0E1 -> -0E+1 mxgx063 maxmag -0E2 -0E2 -> -0E+2 mxgx064 maxmag -0E2 -0E1 -> -0E+1 mxgx065 maxmag -0E1 -0E2 -> -0E+1 -- Specials precision: 9 mxgx090 maxmag Inf -Inf -> Infinity mxgx091 maxmag Inf -1000 -> Infinity mxgx092 maxmag Inf -1 -> Infinity mxgx093 maxmag Inf -0 -> Infinity mxgx094 maxmag Inf 0 -> Infinity mxgx095 maxmag Inf 1 -> Infinity mxgx096 maxmag Inf 1000 -> Infinity mxgx097 maxmag Inf Inf -> Infinity mxgx098 maxmag -1000 Inf -> Infinity mxgx099 maxmag -Inf Inf -> Infinity mxgx100 maxmag -1 Inf -> Infinity mxgx101 maxmag -0 Inf -> Infinity mxgx102 maxmag 0 Inf -> Infinity mxgx103 maxmag 1 Inf -> Infinity mxgx104 maxmag 1000 Inf -> Infinity mxgx105 maxmag Inf Inf -> Infinity mxgx120 maxmag -Inf -Inf -> -Infinity mxgx121 maxmag -Inf -1000 -> -Infinity mxgx122 maxmag -Inf -1 -> -Infinity mxgx123 maxmag -Inf -0 -> -Infinity mxgx124 maxmag -Inf 0 -> -Infinity mxgx125 maxmag -Inf 1 -> -Infinity mxgx126 maxmag -Inf 1000 -> -Infinity mxgx127 maxmag -Inf Inf -> Infinity mxgx128 maxmag -Inf -Inf -> -Infinity mxgx129 maxmag -1000 -Inf -> -Infinity mxgx130 maxmag -1 -Inf -> -Infinity mxgx131 maxmag -0 -Inf -> -Infinity mxgx132 maxmag 0 -Inf -> -Infinity mxgx133 maxmag 1 -Inf -> -Infinity mxgx134 maxmag 1000 -Inf -> -Infinity mxgx135 maxmag Inf -Inf -> Infinity -- 2004.08.02 754r chooses number over NaN in mixed cases mxgx141 maxmag NaN -Inf -> -Infinity mxgx142 maxmag NaN -1000 -> -1000 mxgx143 maxmag NaN -1 -> -1 mxgx144 maxmag NaN -0 -> -0 mxgx145 maxmag NaN 0 -> 0 mxgx146 maxmag NaN 1 -> 1 mxgx147 maxmag NaN 1000 -> 1000 mxgx148 maxmag NaN Inf -> Infinity mxgx149 maxmag NaN NaN -> NaN mxgx150 maxmag -Inf NaN -> -Infinity mxgx151 maxmag -1000 NaN -> -1000 mxgx152 maxmag -1 NaN -> -1 mxgx153 maxmag -0 NaN -> -0 mxgx154 maxmag 0 NaN -> 0 mxgx155 maxmag 1 NaN -> 1 mxgx156 maxmag 1000 NaN -> 1000 mxgx157 maxmag Inf NaN -> Infinity mxgx161 maxmag sNaN -Inf -> NaN Invalid_operation mxgx162 maxmag sNaN -1000 -> NaN Invalid_operation mxgx163 maxmag sNaN -1 -> NaN Invalid_operation mxgx164 maxmag sNaN -0 -> NaN Invalid_operation mxgx165 maxmag sNaN 0 -> NaN Invalid_operation mxgx166 maxmag sNaN 1 -> NaN Invalid_operation mxgx167 maxmag sNaN 1000 -> NaN Invalid_operation mxgx168 maxmag sNaN NaN -> NaN Invalid_operation mxgx169 maxmag sNaN sNaN -> NaN Invalid_operation mxgx170 maxmag NaN sNaN -> NaN Invalid_operation mxgx171 maxmag -Inf sNaN -> NaN Invalid_operation mxgx172 maxmag -1000 sNaN -> NaN Invalid_operation mxgx173 maxmag -1 sNaN -> NaN Invalid_operation mxgx174 maxmag -0 sNaN -> NaN Invalid_operation mxgx175 maxmag 0 sNaN -> NaN Invalid_operation mxgx176 maxmag 1 sNaN -> NaN Invalid_operation mxgx177 maxmag 1000 sNaN -> NaN Invalid_operation mxgx178 maxmag Inf sNaN -> NaN Invalid_operation mxgx179 maxmag NaN sNaN -> NaN Invalid_operation -- propagating NaNs mxgx181 maxmag NaN9 -Inf -> -Infinity mxgx182 maxmag NaN8 9 -> 9 mxgx183 maxmag -NaN7 Inf -> Infinity mxgx184 maxmag -NaN1 NaN11 -> -NaN1 mxgx185 maxmag NaN2 NaN12 -> NaN2 mxgx186 maxmag -NaN13 -NaN7 -> -NaN13 mxgx187 maxmag NaN14 -NaN5 -> NaN14 mxgx188 maxmag -Inf NaN4 -> -Infinity mxgx189 maxmag -9 -NaN3 -> -9 mxgx190 maxmag Inf NaN2 -> Infinity mxgx191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation mxgx192 maxmag sNaN98 -1 -> NaN98 Invalid_operation mxgx193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation mxgx194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation mxgx195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation mxgx196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation mxgx197 maxmag 0 sNaN91 -> NaN91 Invalid_operation mxgx198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation mxgx199 maxmag NaN sNaN89 -> NaN89 Invalid_operation -- rounding checks maxexponent: 999 minexponent: -999 precision: 9 mxgx201 maxmag 12345678000 1 -> 1.23456780E+10 Rounded mxgx202 maxmag 1 12345678000 -> 1.23456780E+10 Rounded mxgx203 maxmag 1234567800 1 -> 1.23456780E+9 Rounded mxgx204 maxmag 1 1234567800 -> 1.23456780E+9 Rounded mxgx205 maxmag 1234567890 1 -> 1.23456789E+9 Rounded mxgx206 maxmag 1 1234567890 -> 1.23456789E+9 Rounded mxgx207 maxmag 1234567891 1 -> 1.23456789E+9 Inexact Rounded mxgx208 maxmag 1 1234567891 -> 1.23456789E+9 Inexact Rounded mxgx209 maxmag 12345678901 1 -> 1.23456789E+10 Inexact Rounded mxgx210 maxmag 1 12345678901 -> 1.23456789E+10 Inexact Rounded mxgx211 maxmag 1234567896 1 -> 1.23456790E+9 Inexact Rounded mxgx212 maxmag 1 1234567896 -> 1.23456790E+9 Inexact Rounded mxgx213 maxmag -1234567891 1 -> -1.23456789E+9 Inexact Rounded mxgx214 maxmag 1 -1234567891 -> -1.23456789E+9 Inexact Rounded mxgx215 maxmag -12345678901 1 -> -1.23456789E+10 Inexact Rounded mxgx216 maxmag 1 -12345678901 -> -1.23456789E+10 Inexact Rounded mxgx217 maxmag -1234567896 1 -> -1.23456790E+9 Inexact Rounded mxgx218 maxmag 1 -1234567896 -> -1.23456790E+9 Inexact Rounded precision: 15 mxgx221 maxmag 12345678000 1 -> 12345678000 mxgx222 maxmag 1 12345678000 -> 12345678000 mxgx223 maxmag 1234567800 1 -> 1234567800 mxgx224 maxmag 1 1234567800 -> 1234567800 mxgx225 maxmag 1234567890 1 -> 1234567890 mxgx226 maxmag 1 1234567890 -> 1234567890 mxgx227 maxmag 1234567891 1 -> 1234567891 mxgx228 maxmag 1 1234567891 -> 1234567891 mxgx229 maxmag 12345678901 1 -> 12345678901 mxgx230 maxmag 1 12345678901 -> 12345678901 mxgx231 maxmag 1234567896 1 -> 1234567896 mxgx232 maxmag 1 1234567896 -> 1234567896 mxgx233 maxmag -1234567891 1 -> -1234567891 mxgx234 maxmag 1 -1234567891 -> -1234567891 mxgx235 maxmag -12345678901 1 -> -12345678901 mxgx236 maxmag 1 -12345678901 -> -12345678901 mxgx237 maxmag -1234567896 1 -> -1234567896 mxgx238 maxmag 1 -1234567896 -> -1234567896 -- from examples mxgx280 maxmag '3' '2' -> '3' mxgx281 maxmag '-10' '3' -> '-10' mxgx282 maxmag '1.0' '1' -> '1' mxgx283 maxmag '1' '1.0' -> '1' mxgx284 maxmag '7' 'NaN' -> '7' -- overflow and underflow tests ... maxExponent: 999999999 minexponent: -999999999 mxgx330 maxmag +1.23456789012345E-0 9E+999999999 -> 9E+999999999 mxgx331 maxmag 9E+999999999 +1.23456789012345E-0 -> 9E+999999999 mxgx332 maxmag +0.100 9E-999999999 -> 0.100 mxgx333 maxmag 9E-999999999 +0.100 -> 0.100 mxgx335 maxmag -1.23456789012345E-0 9E+999999999 -> 9E+999999999 mxgx336 maxmag 9E+999999999 -1.23456789012345E-0 -> 9E+999999999 mxgx337 maxmag -0.100 9E-999999999 -> -0.100 mxgx338 maxmag 9E-999999999 -0.100 -> -0.100 mxgx339 maxmag 1e-599999999 1e-400000001 -> 1E-400000001 mxgx340 maxmag 1e-599999999 1e-400000000 -> 1E-400000000 mxgx341 maxmag 1e-600000000 1e-400000000 -> 1E-400000000 mxgx342 maxmag 9e-999999998 0.01 -> 0.01 mxgx343 maxmag 9e-999999998 0.1 -> 0.1 mxgx344 maxmag 0.01 9e-999999998 -> 0.01 mxgx345 maxmag 1e599999999 1e400000001 -> 1E+599999999 mxgx346 maxmag 1e599999999 1e400000000 -> 1E+599999999 mxgx347 maxmag 1e600000000 1e400000000 -> 1E+600000000 mxgx348 maxmag 9e999999998 100 -> 9E+999999998 mxgx349 maxmag 9e999999998 10 -> 9E+999999998 mxgx350 maxmag 100 9e999999998 -> 9E+999999998 -- signs mxgx351 maxmag 1e+777777777 1e+411111111 -> 1E+777777777 mxgx352 maxmag 1e+777777777 -1e+411111111 -> 1E+777777777 mxgx353 maxmag -1e+777777777 1e+411111111 -> -1E+777777777 mxgx354 maxmag -1e+777777777 -1e+411111111 -> -1E+777777777 mxgx355 maxmag 1e-777777777 1e-411111111 -> 1E-411111111 mxgx356 maxmag 1e-777777777 -1e-411111111 -> -1E-411111111 mxgx357 maxmag -1e-777777777 1e-411111111 -> 1E-411111111 mxgx358 maxmag -1e-777777777 -1e-411111111 -> -1E-411111111 -- expanded list from min/max 754r purple prose -- [explicit tests for exponent ordering] mxgx401 maxmag Inf 1.1 -> Infinity mxgx402 maxmag 1.1 1 -> 1.1 mxgx403 maxmag 1 1.0 -> 1 mxgx404 maxmag 1.0 0.1 -> 1.0 mxgx405 maxmag 0.1 0.10 -> 0.1 mxgx406 maxmag 0.10 0.100 -> 0.10 mxgx407 maxmag 0.10 0 -> 0.10 mxgx408 maxmag 0 0.0 -> 0 mxgx409 maxmag 0.0 -0 -> 0.0 mxgx410 maxmag 0.0 -0.0 -> 0.0 mxgx411 maxmag 0.00 -0.0 -> 0.00 mxgx412 maxmag 0.0 -0.00 -> 0.0 mxgx413 maxmag 0 -0.0 -> 0 mxgx414 maxmag 0 -0 -> 0 mxgx415 maxmag -0.0 -0 -> -0.0 mxgx416 maxmag -0 -0.100 -> -0.100 mxgx417 maxmag -0.100 -0.10 -> -0.100 mxgx418 maxmag -0.10 -0.1 -> -0.10 mxgx419 maxmag -0.1 -1.0 -> -1.0 mxgx420 maxmag -1.0 -1 -> -1.0 mxgx421 maxmag -1 -1.1 -> -1.1 mxgx423 maxmag -1.1 -Inf -> -Infinity -- same with operands reversed mxgx431 maxmag 1.1 Inf -> Infinity mxgx432 maxmag 1 1.1 -> 1.1 mxgx433 maxmag 1.0 1 -> 1 mxgx434 maxmag 0.1 1.0 -> 1.0 mxgx435 maxmag 0.10 0.1 -> 0.1 mxgx436 maxmag 0.100 0.10 -> 0.10 mxgx437 maxmag 0 0.10 -> 0.10 mxgx438 maxmag 0.0 0 -> 0 mxgx439 maxmag -0 0.0 -> 0.0 mxgx440 maxmag -0.0 0.0 -> 0.0 mxgx441 maxmag -0.0 0.00 -> 0.00 mxgx442 maxmag -0.00 0.0 -> 0.0 mxgx443 maxmag -0.0 0 -> 0 mxgx444 maxmag -0 0 -> 0 mxgx445 maxmag -0 -0.0 -> -0.0 mxgx446 maxmag -0.100 -0 -> -0.100 mxgx447 maxmag -0.10 -0.100 -> -0.100 mxgx448 maxmag -0.1 -0.10 -> -0.10 mxgx449 maxmag -1.0 -0.1 -> -1.0 mxgx450 maxmag -1 -1.0 -> -1.0 mxgx451 maxmag -1.1 -1 -> -1.1 mxgx453 maxmag -Inf -1.1 -> -Infinity -- largies mxgx460 maxmag 1000 1E+3 -> 1E+3 mxgx461 maxmag 1E+3 1000 -> 1E+3 mxgx462 maxmag 1000 -1E+3 -> 1000 mxgx463 maxmag 1E+3 -1000 -> 1E+3 mxgx464 maxmag -1000 1E+3 -> 1E+3 mxgx465 maxmag -1E+3 1000 -> 1000 mxgx466 maxmag -1000 -1E+3 -> -1000 mxgx467 maxmag -1E+3 -1000 -> -1000 -- rounding (results treated as though plus) maxexponent: 999999999 minexponent: -999999999 precision: 3 mxgx470 maxmag 1 .5 -> 1 mxgx471 maxmag 10 5 -> 10 mxgx472 maxmag 100 50 -> 100 mxgx473 maxmag 1000 500 -> 1.00E+3 Rounded mxgx474 maxmag 10000 5000 -> 1.00E+4 Rounded mxgx475 maxmag 6 .5 -> 6 mxgx476 maxmag 66 5 -> 66 mxgx477 maxmag 666 50 -> 666 mxgx478 maxmag 6666 500 -> 6.67E+3 Rounded Inexact mxgx479 maxmag 66666 5000 -> 6.67E+4 Rounded Inexact mxgx480 maxmag 33333 5000 -> 3.33E+4 Rounded Inexact mxgx481 maxmag .5 1 -> 1 mxgx482 maxmag .5 10 -> 10 mxgx483 maxmag .5 100 -> 100 mxgx484 maxmag .5 1000 -> 1.00E+3 Rounded mxgx485 maxmag .5 10000 -> 1.00E+4 Rounded mxgx486 maxmag .5 6 -> 6 mxgx487 maxmag .5 66 -> 66 mxgx488 maxmag .5 666 -> 666 mxgx489 maxmag .5 6666 -> 6.67E+3 Rounded Inexact mxgx490 maxmag .5 66666 -> 6.67E+4 Rounded Inexact mxgx491 maxmag .5 33333 -> 3.33E+4 Rounded Inexact -- overflow tests maxexponent: 999999999 minexponent: -999999999 precision: 3 mxgx500 maxmag 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded mxgx501 maxmag -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded -- subnormals and underflow precision: 3 maxexponent: 999 minexponent: -999 mxgx510 maxmag 1.00E-999 0 -> 1.00E-999 mxgx511 maxmag 0.1E-999 0 -> 1E-1000 Subnormal mxgx512 maxmag 0.10E-999 0 -> 1.0E-1000 Subnormal mxgx513 maxmag 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded mxgx514 maxmag 0.01E-999 0 -> 1E-1001 Subnormal -- next is rounded to Nmin mxgx515 maxmag 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow mxgx516 maxmag 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow mxgx517 maxmag 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow mxgx518 maxmag 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped mxgx519 maxmag 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped mxgx520 maxmag 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped mxgx530 maxmag -1.00E-999 0 -> -1.00E-999 mxgx531 maxmag -0.1E-999 0 -> -1E-1000 Subnormal mxgx532 maxmag -0.10E-999 0 -> -1.0E-1000 Subnormal mxgx533 maxmag -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded mxgx534 maxmag -0.01E-999 0 -> -1E-1001 Subnormal -- next is rounded to -Nmin mxgx535 maxmag -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow mxgx536 maxmag -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow mxgx537 maxmag -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow mxgx538 maxmag -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped mxgx539 maxmag -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped mxgx540 maxmag -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped -- Null tests mxgx900 maxmag 10 # -> NaN Invalid_operation mxgx901 maxmag # 10 -> NaN Invalid_operation
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