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------------------------------------------------------------------------
-- dqMinMag.decTest -- decQuad minnummag                              --
-- 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         --
--   [email protected]                                                   --
------------------------------------------------------------------------
version: 2.59

-- we assume that base comparison is tested in compare.decTest, so
-- these mainly cover special cases and rounding
extended:    1
clamp:       1
precision:   34
maxExponent: 6144
minExponent: -6143
rounding:    half_even

-- sanity checks
dqmng001 minmag  -2  -2  -> -2
dqmng002 minmag  -2  -1  -> -1
dqmng003 minmag  -2   0  ->  0
dqmng004 minmag  -2   1  ->  1
dqmng005 minmag  -2   2  -> -2
dqmng006 minmag  -1  -2  -> -1
dqmng007 minmag  -1  -1  -> -1
dqmng008 minmag  -1   0  ->  0
dqmng009 minmag  -1   1  -> -1
dqmng010 minmag  -1   2  -> -1
dqmng011 minmag   0  -2  ->  0
dqmng012 minmag   0  -1  ->  0
dqmng013 minmag   0   0  ->  0
dqmng014 minmag   0   1  ->  0
dqmng015 minmag   0   2  ->  0
dqmng016 minmag   1  -2  ->  1
dqmng017 minmag   1  -1  -> -1
dqmng018 minmag   1   0  ->  0
dqmng019 minmag   1   1  ->  1
dqmng020 minmag   1   2  ->  1
dqmng021 minmag   2  -2  -> -2
dqmng022 minmag   2  -1  -> -1
dqmng023 minmag   2   0  ->  0
dqmng025 minmag   2   1  ->  1
dqmng026 minmag   2   2  ->  2

-- extended zeros
dqmng030 minmag   0     0   ->  0
dqmng031 minmag   0    -0   -> -0
dqmng032 minmag   0    -0.0 -> -0.0
dqmng033 minmag   0     0.0 ->  0.0
dqmng034 minmag  -0     0   -> -0
dqmng035 minmag  -0    -0   -> -0
dqmng036 minmag  -0    -0.0 -> -0
dqmng037 minmag  -0     0.0 -> -0
dqmng038 minmag   0.0   0   ->  0.0
dqmng039 minmag   0.0  -0   -> -0
dqmng040 minmag   0.0  -0.0 -> -0.0
dqmng041 minmag   0.0   0.0 ->  0.0
dqmng042 minmag  -0.0   0   -> -0.0
dqmng043 minmag  -0.0  -0   -> -0
dqmng044 minmag  -0.0  -0.0 -> -0.0
dqmng045 minmag  -0.0   0.0 -> -0.0

dqmng046 minmag   0E1  -0E1 -> -0E+1
dqmng047 minmag  -0E1   0E2 -> -0E+1
dqmng048 minmag   0E2   0E1 ->  0E+1
dqmng049 minmag   0E1   0E2 ->  0E+1
dqmng050 minmag  -0E3  -0E2 -> -0E+3
dqmng051 minmag  -0E2  -0E3 -> -0E+3

-- Specials
dqmng090 minmag  Inf  -Inf   -> -Infinity
dqmng091 minmag  Inf  -1000  -> -1000
dqmng092 minmag  Inf  -1     -> -1
dqmng093 minmag  Inf  -0     -> -0
dqmng094 minmag  Inf   0     ->  0
dqmng095 minmag  Inf   1     ->  1
dqmng096 minmag  Inf   1000  ->  1000
dqmng097 minmag  Inf   Inf   ->  Infinity
dqmng098 minmag -1000  Inf   -> -1000
dqmng099 minmag -Inf   Inf   -> -Infinity
dqmng100 minmag -1     Inf   -> -1
dqmng101 minmag -0     Inf   -> -0
dqmng102 minmag  0     Inf   ->  0
dqmng103 minmag  1     Inf   ->  1
dqmng104 minmag  1000  Inf   ->  1000
dqmng105 minmag  Inf   Inf   ->  Infinity

dqmng120 minmag -Inf  -Inf   -> -Infinity
dqmng121 minmag -Inf  -1000  -> -1000
dqmng122 minmag -Inf  -1     -> -1
dqmng123 minmag -Inf  -0     -> -0
dqmng124 minmag -Inf   0     ->  0
dqmng125 minmag -Inf   1     ->  1
dqmng126 minmag -Inf   1000  ->  1000
dqmng127 minmag -Inf   Inf   -> -Infinity
dqmng128 minmag -Inf  -Inf   -> -Infinity
dqmng129 minmag -1000 -Inf   -> -1000
dqmng130 minmag -1    -Inf   -> -1
dqmng131 minmag -0    -Inf   -> -0
dqmng132 minmag  0    -Inf   ->  0
dqmng133 minmag  1    -Inf   ->  1
dqmng134 minmag  1000 -Inf   ->  1000
dqmng135 minmag  Inf  -Inf   -> -Infinity

-- 2004.08.02 754r chooses number over NaN in mixed cases
dqmng141 minmag  NaN -Inf    ->  -Infinity
dqmng142 minmag  NaN -1000   ->  -1000
dqmng143 minmag  NaN -1      ->  -1
dqmng144 minmag  NaN -0      ->  -0
dqmng145 minmag  NaN  0      ->  0
dqmng146 minmag  NaN  1      ->  1
dqmng147 minmag  NaN  1000   ->  1000
dqmng148 minmag  NaN  Inf    ->  Infinity
dqmng149 minmag  NaN  NaN    ->  NaN
dqmng150 minmag -Inf  NaN    -> -Infinity
dqmng151 minmag -1000 NaN    -> -1000
dqmng152 minmag -1   -NaN    -> -1
dqmng153 minmag -0    NaN    -> -0
dqmng154 minmag  0   -NaN    ->  0
dqmng155 minmag  1    NaN    ->  1
dqmng156 minmag  1000 NaN    ->  1000
dqmng157 minmag  Inf  NaN    ->  Infinity

dqmng161 minmag  sNaN -Inf   ->  NaN  Invalid_operation
dqmng162 minmag  sNaN -1000  ->  NaN  Invalid_operation
dqmng163 minmag  sNaN -1     ->  NaN  Invalid_operation
dqmng164 minmag  sNaN -0     ->  NaN  Invalid_operation
dqmng165 minmag -sNaN  0     -> -NaN  Invalid_operation
dqmng166 minmag -sNaN  1     -> -NaN  Invalid_operation
dqmng167 minmag  sNaN  1000  ->  NaN  Invalid_operation
dqmng168 minmag  sNaN  NaN   ->  NaN  Invalid_operation
dqmng169 minmag  sNaN sNaN   ->  NaN  Invalid_operation
dqmng170 minmag  NaN  sNaN   ->  NaN  Invalid_operation
dqmng171 minmag -Inf  sNaN   ->  NaN  Invalid_operation
dqmng172 minmag -1000 sNaN   ->  NaN  Invalid_operation
dqmng173 minmag -1    sNaN   ->  NaN  Invalid_operation
dqmng174 minmag -0    sNaN   ->  NaN  Invalid_operation
dqmng175 minmag  0    sNaN   ->  NaN  Invalid_operation
dqmng176 minmag  1    sNaN   ->  NaN  Invalid_operation
dqmng177 minmag  1000 sNaN   ->  NaN  Invalid_operation
dqmng178 minmag  Inf  sNaN   ->  NaN  Invalid_operation
dqmng179 minmag  NaN  sNaN   ->  NaN  Invalid_operation

-- propagating NaNs
dqmng181 minmag  NaN9   -Inf   -> -Infinity
dqmng182 minmag -NaN8    9990  ->  9990
dqmng183 minmag  NaN71   Inf   ->  Infinity

dqmng184 minmag  NaN1    NaN54 ->  NaN1
dqmng185 minmag  NaN22  -NaN53 ->  NaN22
dqmng186 minmag -NaN3    NaN6  -> -NaN3
dqmng187 minmag -NaN44   NaN7  -> -NaN44

dqmng188 minmag -Inf     NaN41 -> -Infinity
dqmng189 minmag -9999   -NaN33 -> -9999
dqmng190 minmag  Inf     NaN2  ->  Infinity

dqmng191 minmag  sNaN99 -Inf    ->  NaN99 Invalid_operation
dqmng192 minmag  sNaN98 -11     ->  NaN98 Invalid_operation
dqmng193 minmag -sNaN97  NaN8   -> -NaN97 Invalid_operation
dqmng194 minmag  sNaN69 sNaN94  ->  NaN69 Invalid_operation
dqmng195 minmag  NaN95  sNaN93  ->  NaN93 Invalid_operation
dqmng196 minmag -Inf    sNaN92  ->  NaN92 Invalid_operation
dqmng197 minmag  088    sNaN91  ->  NaN91 Invalid_operation
dqmng198 minmag  Inf   -sNaN90  -> -NaN90 Invalid_operation
dqmng199 minmag  NaN    sNaN86  ->  NaN86 Invalid_operation

-- old rounding checks
dqmng221 minmag -12345678000 1  -> 1
dqmng222 minmag 1 -12345678000  -> 1
dqmng223 minmag -1234567800  1  -> 1
dqmng224 minmag 1 -1234567800   -> 1
dqmng225 minmag -1234567890  1  -> 1
dqmng226 minmag 1 -1234567890   -> 1
dqmng227 minmag -1234567891  1  -> 1
dqmng228 minmag 1 -1234567891   -> 1
dqmng229 minmag -12345678901 1  -> 1
dqmng230 minmag 1 -12345678901  -> 1
dqmng231 minmag -1234567896  1  -> 1
dqmng232 minmag 1 -1234567896   -> 1
dqmng233 minmag 1234567891  1   -> 1
dqmng234 minmag 1 1234567891    -> 1
dqmng235 minmag 12345678901 1   -> 1
dqmng236 minmag 1 12345678901   -> 1
dqmng237 minmag 1234567896  1   -> 1
dqmng238 minmag 1 1234567896    -> 1

-- from examples
dqmng280 minmag '3'   '2'  ->  '2'
dqmng281 minmag '-10' '3'  ->  '3'
dqmng282 minmag '1.0' '1'  ->  '1.0'
dqmng283 minmag '1' '1.0'  ->  '1.0'
dqmng284 minmag '7' 'NaN'  ->  '7'

-- expanded list from min/max 754r purple prose
-- [explicit tests for exponent ordering]
dqmng401 minmag  Inf    1.1     ->  1.1
dqmng402 minmag  1.1    1       ->  1
dqmng403 minmag  1      1.0     ->  1.0
dqmng404 minmag  1.0    0.1     ->  0.1
dqmng405 minmag  0.1    0.10    ->  0.10
dqmng406 minmag  0.10   0.100   ->  0.100
dqmng407 minmag  0.10   0       ->  0
dqmng408 minmag  0      0.0     ->  0.0
dqmng409 minmag  0.0   -0       -> -0
dqmng410 minmag  0.0   -0.0     -> -0.0
dqmng411 minmag  0.00  -0.0     -> -0.0
dqmng412 minmag  0.0   -0.00    -> -0.00
dqmng413 minmag  0     -0.0     -> -0.0
dqmng414 minmag  0     -0       -> -0
dqmng415 minmag -0.0   -0       -> -0
dqmng416 minmag -0     -0.100   -> -0
dqmng417 minmag -0.100 -0.10    -> -0.10
dqmng418 minmag -0.10  -0.1     -> -0.1
dqmng419 minmag -0.1   -1.0     -> -0.1
dqmng420 minmag -1.0   -1       -> -1
dqmng421 minmag -1     -1.1     -> -1
dqmng423 minmag -1.1   -Inf     -> -1.1
-- same with operands reversed
dqmng431 minmag  1.1    Inf     ->  1.1
dqmng432 minmag  1      1.1     ->  1
dqmng433 minmag  1.0    1       ->  1.0
dqmng434 minmag  0.1    1.0     ->  0.1
dqmng435 minmag  0.10   0.1     ->  0.10
dqmng436 minmag  0.100  0.10    ->  0.100
dqmng437 minmag  0      0.10    ->  0
dqmng438 minmag  0.0    0       ->  0.0
dqmng439 minmag -0      0.0     -> -0
dqmng440 minmag -0.0    0.0     -> -0.0
dqmng441 minmag -0.0    0.00    -> -0.0
dqmng442 minmag -0.00   0.0     -> -0.00
dqmng443 minmag -0.0    0       -> -0.0
dqmng444 minmag -0      0       -> -0
dqmng445 minmag -0     -0.0     -> -0
dqmng446 minmag -0.100 -0       -> -0
dqmng447 minmag -0.10  -0.100   -> -0.10
dqmng448 minmag -0.1   -0.10    -> -0.1
dqmng449 minmag -1.0   -0.1     -> -0.1
dqmng450 minmag -1     -1.0     -> -1
dqmng451 minmag -1.1   -1       -> -1
dqmng453 minmag -Inf   -1.1     -> -1.1
-- largies
dqmng460 minmag  1000   1E+3    ->  1000
dqmng461 minmag  1E+3   1000    ->  1000
dqmng462 minmag  1000  -1E+3    -> -1E+3
dqmng463 minmag  1E+3   -384    -> -384
dqmng464 minmag -384    1E+3    -> -384
dqmng465 minmag -1E+3   1000    -> -1E+3
dqmng466 minmag -384   -1E+3    -> -384
dqmng467 minmag -1E+3   -384    -> -384

-- subnormals
dqmng510 minmag  1.00E-6143       0  ->   0
dqmng511 minmag  0.1E-6143        0  ->   0
dqmng512 minmag  0.10E-6143       0  ->   0
dqmng513 minmag  0.100E-6143      0  ->   0
dqmng514 minmag  0.01E-6143       0  ->   0
dqmng515 minmag  0.999E-6143      0  ->   0
dqmng516 minmag  0.099E-6143      0  ->   0
dqmng517 minmag  0.009E-6143      0  ->   0
dqmng518 minmag  0.001E-6143      0  ->   0
dqmng519 minmag  0.0009E-6143     0  ->   0
dqmng520 minmag  0.0001E-6143     0  ->   0

dqmng530 minmag -1.00E-6143       0  ->   0
dqmng531 minmag -0.1E-6143        0  ->   0
dqmng532 minmag -0.10E-6143       0  ->   0
dqmng533 minmag -0.100E-6143      0  ->   0
dqmng534 minmag -0.01E-6143       0  ->   0
dqmng535 minmag -0.999E-6143      0  ->   0
dqmng536 minmag -0.099E-6143      0  ->   0
dqmng537 minmag -0.009E-6143      0  ->   0
dqmng538 minmag -0.001E-6143      0  ->   0
dqmng539 minmag -0.0009E-6143     0  ->   0
dqmng540 minmag -0.0001E-6143     0  ->   0


-- Null tests
dqmng900 minmag 10  # -> NaN Invalid_operation
dqmng901 minmag  # 10 -> NaN Invalid_operation




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