------------------------------------------------------------------------

-- 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: 2.58

-- 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