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✏️ ddMin.decTest
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------------------------------------------------------------------------ -- ddMin.decTest -- decDouble minnum -- -- 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 precision: 16 maxExponent: 384 minExponent: -383 extended: 1 clamp: 1 rounding: half_even -- sanity checks ddmin001 min -2 -2 -> -2 ddmin002 min -2 -1 -> -2 ddmin003 min -2 0 -> -2 ddmin004 min -2 1 -> -2 ddmin005 min -2 2 -> -2 ddmin006 min -1 -2 -> -2 ddmin007 min -1 -1 -> -1 ddmin008 min -1 0 -> -1 ddmin009 min -1 1 -> -1 ddmin010 min -1 2 -> -1 ddmin011 min 0 -2 -> -2 ddmin012 min 0 -1 -> -1 ddmin013 min 0 0 -> 0 ddmin014 min 0 1 -> 0 ddmin015 min 0 2 -> 0 ddmin016 min 1 -2 -> -2 ddmin017 min 1 -1 -> -1 ddmin018 min 1 0 -> 0 ddmin019 min 1 1 -> 1 ddmin020 min 1 2 -> 1 ddmin021 min 2 -2 -> -2 ddmin022 min 2 -1 -> -1 ddmin023 min 2 0 -> 0 ddmin025 min 2 1 -> 1 ddmin026 min 2 2 -> 2 -- extended zeros ddmin030 min 0 0 -> 0 ddmin031 min 0 -0 -> -0 ddmin032 min 0 -0.0 -> -0.0 ddmin033 min 0 0.0 -> 0.0 ddmin034 min -0 0 -> -0 ddmin035 min -0 -0 -> -0 ddmin036 min -0 -0.0 -> -0 ddmin037 min -0 0.0 -> -0 ddmin038 min 0.0 0 -> 0.0 ddmin039 min 0.0 -0 -> -0 ddmin040 min 0.0 -0.0 -> -0.0 ddmin041 min 0.0 0.0 -> 0.0 ddmin042 min -0.0 0 -> -0.0 ddmin043 min -0.0 -0 -> -0 ddmin044 min -0.0 -0.0 -> -0.0 ddmin045 min -0.0 0.0 -> -0.0 ddmin046 min 0E1 -0E1 -> -0E+1 ddmin047 min -0E1 0E2 -> -0E+1 ddmin048 min 0E2 0E1 -> 0E+1 ddmin049 min 0E1 0E2 -> 0E+1 ddmin050 min -0E3 -0E2 -> -0E+3 ddmin051 min -0E2 -0E3 -> -0E+3 -- Specials ddmin090 min Inf -Inf -> -Infinity ddmin091 min Inf -1000 -> -1000 ddmin092 min Inf -1 -> -1 ddmin093 min Inf -0 -> -0 ddmin094 min Inf 0 -> 0 ddmin095 min Inf 1 -> 1 ddmin096 min Inf 1000 -> 1000 ddmin097 min Inf Inf -> Infinity ddmin098 min -1000 Inf -> -1000 ddmin099 min -Inf Inf -> -Infinity ddmin100 min -1 Inf -> -1 ddmin101 min -0 Inf -> -0 ddmin102 min 0 Inf -> 0 ddmin103 min 1 Inf -> 1 ddmin104 min 1000 Inf -> 1000 ddmin105 min Inf Inf -> Infinity ddmin120 min -Inf -Inf -> -Infinity ddmin121 min -Inf -1000 -> -Infinity ddmin122 min -Inf -1 -> -Infinity ddmin123 min -Inf -0 -> -Infinity ddmin124 min -Inf 0 -> -Infinity ddmin125 min -Inf 1 -> -Infinity ddmin126 min -Inf 1000 -> -Infinity ddmin127 min -Inf Inf -> -Infinity ddmin128 min -Inf -Inf -> -Infinity ddmin129 min -1000 -Inf -> -Infinity ddmin130 min -1 -Inf -> -Infinity ddmin131 min -0 -Inf -> -Infinity ddmin132 min 0 -Inf -> -Infinity ddmin133 min 1 -Inf -> -Infinity ddmin134 min 1000 -Inf -> -Infinity ddmin135 min Inf -Inf -> -Infinity -- 2004.08.02 754r chooses number over NaN in mixed cases ddmin141 min NaN -Inf -> -Infinity ddmin142 min NaN -1000 -> -1000 ddmin143 min NaN -1 -> -1 ddmin144 min NaN -0 -> -0 ddmin145 min NaN 0 -> 0 ddmin146 min NaN 1 -> 1 ddmin147 min NaN 1000 -> 1000 ddmin148 min NaN Inf -> Infinity ddmin149 min NaN NaN -> NaN ddmin150 min -Inf NaN -> -Infinity ddmin151 min -1000 NaN -> -1000 ddmin152 min -1 -NaN -> -1 ddmin153 min -0 NaN -> -0 ddmin154 min 0 -NaN -> 0 ddmin155 min 1 NaN -> 1 ddmin156 min 1000 NaN -> 1000 ddmin157 min Inf NaN -> Infinity ddmin161 min sNaN -Inf -> NaN Invalid_operation ddmin162 min sNaN -1000 -> NaN Invalid_operation ddmin163 min sNaN -1 -> NaN Invalid_operation ddmin164 min sNaN -0 -> NaN Invalid_operation ddmin165 min -sNaN 0 -> -NaN Invalid_operation ddmin166 min -sNaN 1 -> -NaN Invalid_operation ddmin167 min sNaN 1000 -> NaN Invalid_operation ddmin168 min sNaN NaN -> NaN Invalid_operation ddmin169 min sNaN sNaN -> NaN Invalid_operation ddmin170 min NaN sNaN -> NaN Invalid_operation ddmin171 min -Inf sNaN -> NaN Invalid_operation ddmin172 min -1000 sNaN -> NaN Invalid_operation ddmin173 min -1 sNaN -> NaN Invalid_operation ddmin174 min -0 sNaN -> NaN Invalid_operation ddmin175 min 0 sNaN -> NaN Invalid_operation ddmin176 min 1 sNaN -> NaN Invalid_operation ddmin177 min 1000 sNaN -> NaN Invalid_operation ddmin178 min Inf sNaN -> NaN Invalid_operation ddmin179 min NaN sNaN -> NaN Invalid_operation -- propagating NaNs ddmin181 min NaN9 -Inf -> -Infinity ddmin182 min -NaN8 9990 -> 9990 ddmin183 min NaN71 Inf -> Infinity ddmin184 min NaN1 NaN54 -> NaN1 ddmin185 min NaN22 -NaN53 -> NaN22 ddmin186 min -NaN3 NaN6 -> -NaN3 ddmin187 min -NaN44 NaN7 -> -NaN44 ddmin188 min -Inf NaN41 -> -Infinity ddmin189 min -9999 -NaN33 -> -9999 ddmin190 min Inf NaN2 -> Infinity ddmin191 min sNaN99 -Inf -> NaN99 Invalid_operation ddmin192 min sNaN98 -11 -> NaN98 Invalid_operation ddmin193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation ddmin194 min sNaN69 sNaN94 -> NaN69 Invalid_operation ddmin195 min NaN95 sNaN93 -> NaN93 Invalid_operation ddmin196 min -Inf sNaN92 -> NaN92 Invalid_operation ddmin197 min 088 sNaN91 -> NaN91 Invalid_operation ddmin198 min Inf -sNaN90 -> -NaN90 Invalid_operation ddmin199 min NaN sNaN86 -> NaN86 Invalid_operation -- old rounding checks ddmin221 min -12345678000 1 -> -12345678000 ddmin222 min 1 -12345678000 -> -12345678000 ddmin223 min -1234567800 1 -> -1234567800 ddmin224 min 1 -1234567800 -> -1234567800 ddmin225 min -1234567890 1 -> -1234567890 ddmin226 min 1 -1234567890 -> -1234567890 ddmin227 min -1234567891 1 -> -1234567891 ddmin228 min 1 -1234567891 -> -1234567891 ddmin229 min -12345678901 1 -> -12345678901 ddmin230 min 1 -12345678901 -> -12345678901 ddmin231 min -1234567896 1 -> -1234567896 ddmin232 min 1 -1234567896 -> -1234567896 ddmin233 min 1234567891 1 -> 1 ddmin234 min 1 1234567891 -> 1 ddmin235 min 12345678901 1 -> 1 ddmin236 min 1 12345678901 -> 1 ddmin237 min 1234567896 1 -> 1 ddmin238 min 1 1234567896 -> 1 -- from examples ddmin280 min '3' '2' -> '2' ddmin281 min '-10' '3' -> '-10' ddmin282 min '1.0' '1' -> '1.0' ddmin283 min '1' '1.0' -> '1.0' ddmin284 min '7' 'NaN' -> '7' -- expanded list from min/max 754r purple prose -- [explicit tests for exponent ordering] ddmin401 min Inf 1.1 -> 1.1 ddmin402 min 1.1 1 -> 1 ddmin403 min 1 1.0 -> 1.0 ddmin404 min 1.0 0.1 -> 0.1 ddmin405 min 0.1 0.10 -> 0.10 ddmin406 min 0.10 0.100 -> 0.100 ddmin407 min 0.10 0 -> 0 ddmin408 min 0 0.0 -> 0.0 ddmin409 min 0.0 -0 -> -0 ddmin410 min 0.0 -0.0 -> -0.0 ddmin411 min 0.00 -0.0 -> -0.0 ddmin412 min 0.0 -0.00 -> -0.00 ddmin413 min 0 -0.0 -> -0.0 ddmin414 min 0 -0 -> -0 ddmin415 min -0.0 -0 -> -0 ddmin416 min -0 -0.100 -> -0.100 ddmin417 min -0.100 -0.10 -> -0.10 ddmin418 min -0.10 -0.1 -> -0.1 ddmin419 min -0.1 -1.0 -> -1.0 ddmin420 min -1.0 -1 -> -1 ddmin421 min -1 -1.1 -> -1.1 ddmin423 min -1.1 -Inf -> -Infinity -- same with operands reversed ddmin431 min 1.1 Inf -> 1.1 ddmin432 min 1 1.1 -> 1 ddmin433 min 1.0 1 -> 1.0 ddmin434 min 0.1 1.0 -> 0.1 ddmin435 min 0.10 0.1 -> 0.10 ddmin436 min 0.100 0.10 -> 0.100 ddmin437 min 0 0.10 -> 0 ddmin438 min 0.0 0 -> 0.0 ddmin439 min -0 0.0 -> -0 ddmin440 min -0.0 0.0 -> -0.0 ddmin441 min -0.0 0.00 -> -0.0 ddmin442 min -0.00 0.0 -> -0.00 ddmin443 min -0.0 0 -> -0.0 ddmin444 min -0 0 -> -0 ddmin445 min -0 -0.0 -> -0 ddmin446 min -0.100 -0 -> -0.100 ddmin447 min -0.10 -0.100 -> -0.10 ddmin448 min -0.1 -0.10 -> -0.1 ddmin449 min -1.0 -0.1 -> -1.0 ddmin450 min -1 -1.0 -> -1 ddmin451 min -1.1 -1 -> -1.1 ddmin453 min -Inf -1.1 -> -Infinity -- largies ddmin460 min 1000 1E+3 -> 1000 ddmin461 min 1E+3 1000 -> 1000 ddmin462 min 1000 -1E+3 -> -1E+3 ddmin463 min 1E+3 -384 -> -384 ddmin464 min -384 1E+3 -> -384 ddmin465 min -1E+3 1000 -> -1E+3 ddmin466 min -384 -1E+3 -> -1E+3 ddmin467 min -1E+3 -384 -> -1E+3 -- misalignment traps for little-endian ddmin471 min 1.0 0.1 -> 0.1 ddmin472 min 0.1 1.0 -> 0.1 ddmin473 min 10.0 0.1 -> 0.1 ddmin474 min 0.1 10.0 -> 0.1 ddmin475 min 100 1.0 -> 1.0 ddmin476 min 1.0 100 -> 1.0 ddmin477 min 1000 10.0 -> 10.0 ddmin478 min 10.0 1000 -> 10.0 ddmin479 min 10000 100.0 -> 100.0 ddmin480 min 100.0 10000 -> 100.0 ddmin481 min 100000 1000.0 -> 1000.0 ddmin482 min 1000.0 100000 -> 1000.0 ddmin483 min 1000000 10000.0 -> 10000.0 ddmin484 min 10000.0 1000000 -> 10000.0 -- subnormals ddmin510 min 1.00E-383 0 -> 0 ddmin511 min 0.1E-383 0 -> 0 ddmin512 min 0.10E-383 0 -> 0 ddmin513 min 0.100E-383 0 -> 0 ddmin514 min 0.01E-383 0 -> 0 ddmin515 min 0.999E-383 0 -> 0 ddmin516 min 0.099E-383 0 -> 0 ddmin517 min 0.009E-383 0 -> 0 ddmin518 min 0.001E-383 0 -> 0 ddmin519 min 0.0009E-383 0 -> 0 ddmin520 min 0.0001E-383 0 -> 0 ddmin530 min -1.00E-383 0 -> -1.00E-383 ddmin531 min -0.1E-383 0 -> -1E-384 Subnormal ddmin532 min -0.10E-383 0 -> -1.0E-384 Subnormal ddmin533 min -0.100E-383 0 -> -1.00E-384 Subnormal ddmin534 min -0.01E-383 0 -> -1E-385 Subnormal ddmin535 min -0.999E-383 0 -> -9.99E-384 Subnormal ddmin536 min -0.099E-383 0 -> -9.9E-385 Subnormal ddmin537 min -0.009E-383 0 -> -9E-386 Subnormal ddmin538 min -0.001E-383 0 -> -1E-386 Subnormal ddmin539 min -0.0009E-383 0 -> -9E-387 Subnormal ddmin540 min -0.0001E-383 0 -> -1E-387 Subnormal -- Null tests ddmin900 min 10 # -> NaN Invalid_operation ddmin901 min # 10 -> NaN Invalid_operation
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