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------------------------------------------------------------------------
-- ddMin.decTest -- decDouble minnum --
-- Copyright (c) IBM Corporation, 1981, 2007. 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 --
-- [email protected] --
------------------------------------------------------------------------
version: 2.57
-- 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