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

-- min.decTest -- decimal minimum                                     --

-- 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

extended:    1

precision:   9

rounding:    half_up

maxExponent: 384

minexponent: -383

-- sanity checks

mnmx001 min  -2  -2  -> -2

mnmx002 min  -2  -1  -> -2

mnmx003 min  -2   0  -> -2

mnmx004 min  -2   1  -> -2

mnmx005 min  -2   2  -> -2

mnmx006 min  -1  -2  -> -2

mnmx007 min  -1  -1  -> -1

mnmx008 min  -1   0  -> -1

mnmx009 min  -1   1  -> -1

mnmx010 min  -1   2  -> -1

mnmx011 min   0  -2  -> -2

mnmx012 min   0  -1  -> -1

mnmx013 min   0   0  ->  0

mnmx014 min   0   1  ->  0

mnmx015 min   0   2  ->  0

mnmx016 min   1  -2  -> -2

mnmx017 min   1  -1  -> -1

mnmx018 min   1   0  ->  0

mnmx019 min   1   1  ->  1

mnmx020 min   1   2  ->  1

mnmx021 min   2  -2  -> -2

mnmx022 min   2  -1  -> -1

mnmx023 min   2   0  ->  0

mnmx025 min   2   1  ->  1

mnmx026 min   2   2  ->  2

-- extended zeros

mnmx030 min   0     0   ->  0

mnmx031 min   0    -0   -> -0

mnmx032 min   0    -0.0 -> -0.0

mnmx033 min   0     0.0 ->  0.0

mnmx034 min  -0     0   -> -0

mnmx035 min  -0    -0   -> -0

mnmx036 min  -0    -0.0 -> -0

mnmx037 min  -0     0.0 -> -0

mnmx038 min   0.0   0   ->  0.0

mnmx039 min   0.0  -0   -> -0

mnmx040 min   0.0  -0.0 -> -0.0

mnmx041 min   0.0   0.0 ->  0.0

mnmx042 min  -0.0   0   -> -0.0

mnmx043 min  -0.0  -0   -> -0

mnmx044 min  -0.0  -0.0 -> -0.0

mnmx045 min  -0.0   0.0 -> -0.0

mnmx046 min   0E1  -0E1 -> -0E+1

mnmx047 min  -0E1   0E2 -> -0E+1

mnmx048 min   0E2   0E1 ->  0E+1

mnmx049 min   0E1   0E2 ->  0E+1

mnmx050 min  -0E3  -0E2 -> -0E+3

mnmx051 min  -0E2  -0E3 -> -0E+3

-- Specials

precision: 9

mnmx090 min  Inf  -Inf   -> -Infinity

mnmx091 min  Inf  -1000  -> -1000

mnmx092 min  Inf  -1     -> -1

mnmx093 min  Inf  -0     -> -0

mnmx094 min  Inf   0     ->  0

mnmx095 min  Inf   1     ->  1

mnmx096 min  Inf   1000  ->  1000

mnmx097 min  Inf   Inf   ->  Infinity

mnmx098 min -1000  Inf   -> -1000

mnmx099 min -Inf   Inf   -> -Infinity

mnmx100 min -1     Inf   -> -1

mnmx101 min -0     Inf   -> -0

mnmx102 min  0     Inf   ->  0

mnmx103 min  1     Inf   ->  1

mnmx104 min  1000  Inf   ->  1000

mnmx105 min  Inf   Inf   ->  Infinity

mnmx120 min -Inf  -Inf   -> -Infinity

mnmx121 min -Inf  -1000  -> -Infinity

mnmx122 min -Inf  -1     -> -Infinity

mnmx123 min -Inf  -0     -> -Infinity

mnmx124 min -Inf   0     -> -Infinity

mnmx125 min -Inf   1     -> -Infinity

mnmx126 min -Inf   1000  -> -Infinity

mnmx127 min -Inf   Inf   -> -Infinity

mnmx128 min -Inf  -Inf   -> -Infinity

mnmx129 min -1000 -Inf   -> -Infinity

mnmx130 min -1    -Inf   -> -Infinity

mnmx131 min -0    -Inf   -> -Infinity

mnmx132 min  0    -Inf   -> -Infinity

mnmx133 min  1    -Inf   -> -Infinity

mnmx134 min  1000 -Inf   -> -Infinity

mnmx135 min  Inf  -Inf   -> -Infinity

-- 2004.08.02 754r chooses number over NaN in mixed cases

mnmx141 min  NaN -Inf    ->  -Infinity

mnmx142 min  NaN -1000   ->  -1000

mnmx143 min  NaN -1      ->  -1

mnmx144 min  NaN -0      ->  -0

mnmx145 min  NaN  0      ->  0

mnmx146 min  NaN  1      ->  1

mnmx147 min  NaN  1000   ->  1000

mnmx148 min  NaN  Inf    ->  Infinity

mnmx149 min  NaN  NaN    ->  NaN

mnmx150 min -Inf  NaN    -> -Infinity

mnmx151 min -1000 NaN    -> -1000

mnmx152 min -1   -NaN    -> -1

mnmx153 min -0    NaN    -> -0

mnmx154 min  0   -NaN    ->  0

mnmx155 min  1    NaN    ->  1

mnmx156 min  1000 NaN    ->  1000

mnmx157 min  Inf  NaN    ->  Infinity

mnmx161 min  sNaN -Inf   ->  NaN  Invalid_operation

mnmx162 min  sNaN -1000  ->  NaN  Invalid_operation

mnmx163 min  sNaN -1     ->  NaN  Invalid_operation

mnmx164 min  sNaN -0     ->  NaN  Invalid_operation

mnmx165 min -sNaN  0     -> -NaN  Invalid_operation

mnmx166 min -sNaN  1     -> -NaN  Invalid_operation

mnmx167 min  sNaN  1000  ->  NaN  Invalid_operation

mnmx168 min  sNaN  NaN   ->  NaN  Invalid_operation

mnmx169 min  sNaN sNaN   ->  NaN  Invalid_operation

mnmx170 min  NaN  sNaN   ->  NaN  Invalid_operation

mnmx171 min -Inf  sNaN   ->  NaN  Invalid_operation

mnmx172 min -1000 sNaN   ->  NaN  Invalid_operation

mnmx173 min -1    sNaN   ->  NaN  Invalid_operation

mnmx174 min -0    sNaN   ->  NaN  Invalid_operation

mnmx175 min  0    sNaN   ->  NaN  Invalid_operation

mnmx176 min  1    sNaN   ->  NaN  Invalid_operation

mnmx177 min  1000 sNaN   ->  NaN  Invalid_operation

mnmx178 min  Inf  sNaN   ->  NaN  Invalid_operation

mnmx179 min  NaN  sNaN   ->  NaN  Invalid_operation

-- propagating NaNs

mnmx181 min  NaN9   -Inf   -> -Infinity

mnmx182 min -NaN8    9990  ->  9990

mnmx183 min  NaN71   Inf   ->  Infinity

mnmx184 min  NaN1    NaN54 ->  NaN1

mnmx185 min  NaN22  -NaN53 ->  NaN22

mnmx186 min -NaN3    NaN6  -> -NaN3

mnmx187 min -NaN44   NaN7  -> -NaN44

mnmx188 min -Inf     NaN41 -> -Infinity

mnmx189 min -9999   -NaN33 -> -9999

mnmx190 min  Inf     NaN2  ->  Infinity

mnmx191 min  sNaN99 -Inf    ->  NaN99 Invalid_operation

mnmx192 min  sNaN98 -11     ->  NaN98 Invalid_operation

mnmx193 min -sNaN97  NaN8   -> -NaN97 Invalid_operation

mnmx194 min  sNaN69 sNaN94  ->  NaN69 Invalid_operation

mnmx195 min  NaN95  sNaN93  ->  NaN93 Invalid_operation

mnmx196 min -Inf    sNaN92  ->  NaN92 Invalid_operation

mnmx197 min  088    sNaN91  ->  NaN91 Invalid_operation

mnmx198 min  Inf   -sNaN90  -> -NaN90 Invalid_operation

mnmx199 min  NaN    sNaN86  ->  NaN86 Invalid_operation

-- rounding checks -- chosen is rounded, or not

maxExponent: 999

minexponent: -999

precision: 9

mnmx201 min -12345678000 1  -> -1.23456780E+10 Rounded

mnmx202 min 1 -12345678000  -> -1.23456780E+10 Rounded

mnmx203 min -1234567800  1  -> -1.23456780E+9 Rounded

mnmx204 min 1 -1234567800   -> -1.23456780E+9 Rounded

mnmx205 min -1234567890  1  -> -1.23456789E+9 Rounded

mnmx206 min 1 -1234567890   -> -1.23456789E+9 Rounded

mnmx207 min -1234567891  1  -> -1.23456789E+9 Inexact Rounded

mnmx208 min 1 -1234567891   -> -1.23456789E+9 Inexact Rounded

mnmx209 min -12345678901 1  -> -1.23456789E+10 Inexact Rounded

mnmx210 min 1 -12345678901  -> -1.23456789E+10 Inexact Rounded

mnmx211 min -1234567896  1  -> -1.23456790E+9 Inexact Rounded

mnmx212 min 1 -1234567896   -> -1.23456790E+9 Inexact Rounded

mnmx213 min 1234567891  1   -> 1

mnmx214 min 1 1234567891    -> 1

mnmx215 min 12345678901 1   -> 1

mnmx216 min 1 12345678901   -> 1

mnmx217 min 1234567896  1   -> 1

mnmx218 min 1 1234567896    -> 1

precision: 15

mnmx221 min -12345678000 1  -> -12345678000

mnmx222 min 1 -12345678000  -> -12345678000

mnmx223 min -1234567800  1  -> -1234567800

mnmx224 min 1 -1234567800   -> -1234567800

mnmx225 min -1234567890  1  -> -1234567890

mnmx226 min 1 -1234567890   -> -1234567890

mnmx227 min -1234567891  1  -> -1234567891

mnmx228 min 1 -1234567891   -> -1234567891

mnmx229 min -12345678901 1  -> -12345678901

mnmx230 min 1 -12345678901  -> -12345678901

mnmx231 min -1234567896  1  -> -1234567896

mnmx232 min 1 -1234567896   -> -1234567896

mnmx233 min 1234567891  1   -> 1

mnmx234 min 1 1234567891    -> 1

mnmx235 min 12345678901 1   -> 1

mnmx236 min 1 12345678901   -> 1

mnmx237 min 1234567896  1   -> 1

mnmx238 min 1 1234567896    -> 1

-- from examples

mnmx280 min '3'   '2'  ->  '2'

mnmx281 min '-10' '3'  ->  '-10'

mnmx282 min '1.0' '1'  ->  '1.0'

mnmx283 min '1' '1.0'  ->  '1.0'

mnmx284 min '7' 'NaN'  ->  '7'

-- overflow and underflow tests .. subnormal results [inputs] now allowed

maxExponent: 999999999

minexponent: -999999999

mnmx330 min -1.23456789012345E-0 -9E+999999999 -> -9E+999999999

mnmx331 min -9E+999999999 -1.23456789012345E-0 -> -9E+999999999

mnmx332 min -0.100 -9E-999999999               -> -0.100

mnmx333 min -9E-999999999 -0.100               -> -0.100

mnmx335 min +1.23456789012345E-0 -9E+999999999 -> -9E+999999999

mnmx336 min -9E+999999999 1.23456789012345E-0  -> -9E+999999999

mnmx337 min +0.100 -9E-999999999               -> -9E-999999999

mnmx338 min -9E-999999999 0.100                -> -9E-999999999

mnmx339 min -1e-599999999 -1e-400000001   ->  -1E-400000001

mnmx340 min -1e-599999999 -1e-400000000   ->  -1E-400000000

mnmx341 min -1e-600000000 -1e-400000000   ->  -1E-400000000

mnmx342 min -9e-999999998 -0.01           ->  -0.01

mnmx343 min -9e-999999998 -0.1            ->  -0.1

mnmx344 min -0.01         -9e-999999998   ->  -0.01

mnmx345 min -1e599999999  -1e400000001    ->  -1E+599999999

mnmx346 min -1e599999999  -1e400000000    ->  -1E+599999999

mnmx347 min -1e600000000  -1e400000000    ->  -1E+600000000

mnmx348 min -9e999999998  -100            ->  -9E+999999998

mnmx349 min -9e999999998  -10             ->  -9E+999999998

mnmx350 min -100          -9e999999998    ->  -9E+999999998

-- signs

mnmx351 min -1e+777777777 -1e+411111111 -> -1E+777777777

mnmx352 min -1e+777777777 +1e+411111111 -> -1E+777777777

mnmx353 min +1e+777777777 -1e+411111111 -> -1E+411111111

mnmx354 min +1e+777777777 +1e+411111111 ->  1E+411111111

mnmx355 min -1e-777777777 -1e-411111111 -> -1E-411111111

mnmx356 min -1e-777777777 +1e-411111111 -> -1E-777777777

mnmx357 min +1e-777777777 -1e-411111111 -> -1E-411111111

mnmx358 min +1e-777777777 +1e-411111111 ->  1E-777777777

-- expanded list from min/max 754r purple prose

-- [explicit tests for exponent ordering]

mnmx401 min  Inf    1.1     ->  1.1

mnmx402 min  1.1    1       ->  1

mnmx403 min  1      1.0     ->  1.0

mnmx404 min  1.0    0.1     ->  0.1

mnmx405 min  0.1    0.10    ->  0.10

mnmx406 min  0.10   0.100   ->  0.100

mnmx407 min  0.10   0       ->  0

mnmx408 min  0      0.0     ->  0.0

mnmx409 min  0.0   -0       -> -0

mnmx410 min  0.0   -0.0     -> -0.0

mnmx411 min  0.00  -0.0     -> -0.0

mnmx412 min  0.0   -0.00    -> -0.00

mnmx413 min  0     -0.0     -> -0.0

mnmx414 min  0     -0       -> -0

mnmx415 min -0.0   -0       -> -0

mnmx416 min -0     -0.100   -> -0.100

mnmx417 min -0.100 -0.10    -> -0.10

mnmx418 min -0.10  -0.1     -> -0.1

mnmx419 min -0.1   -1.0     -> -1.0

mnmx420 min -1.0   -1       -> -1

mnmx421 min -1     -1.1     -> -1.1

mnmx423 min -1.1   -Inf     -> -Infinity

-- same with operands reversed

mnmx431 min  1.1    Inf     ->  1.1

mnmx432 min  1      1.1     ->  1

mnmx433 min  1.0    1       ->  1.0

mnmx434 min  0.1    1.0     ->  0.1

mnmx435 min  0.10   0.1     ->  0.10

mnmx436 min  0.100  0.10    ->  0.100

mnmx437 min  0      0.10    ->  0

mnmx438 min  0.0    0       ->  0.0

mnmx439 min -0      0.0     -> -0

mnmx440 min -0.0    0.0     -> -0.0

mnmx441 min -0.0    0.00    -> -0.0

mnmx442 min -0.00   0.0     -> -0.00

mnmx443 min -0.0    0       -> -0.0

mnmx444 min -0      0       -> -0

mnmx445 min -0     -0.0     -> -0

mnmx446 min -0.100 -0       -> -0.100

mnmx447 min -0.10  -0.100   -> -0.10

mnmx448 min -0.1   -0.10    -> -0.1

mnmx449 min -1.0   -0.1     -> -1.0

mnmx450 min -1     -1.0     -> -1

mnmx451 min -1.1   -1       -> -1.1

mnmx453 min -Inf   -1.1     -> -Infinity

-- largies

mnmx460 min  1000   1E+3    ->  1000

mnmx461 min  1E+3   1000    ->  1000

mnmx462 min  1000  -1E+3    -> -1E+3

mnmx463 min  1E+3  -1000    -> -1000

mnmx464 min -1000   1E+3    -> -1000

mnmx465 min -1E+3   1000    -> -1E+3

mnmx466 min -1000  -1E+3    -> -1E+3

mnmx467 min -1E+3  -1000    -> -1E+3

-- rounding (results treated as though plus)

maxexponent: 999999999

minexponent: -999999999

precision: 3

mnmx470 min  1      5      ->  1

mnmx471 min  10     50     ->  10

mnmx472 min  100    500    ->  100

mnmx473 min  1000   5000   ->  1.00E+3 Rounded

mnmx474 min  10000  50000  ->  1.00E+4 Rounded

mnmx475 min  6      50     ->  6

mnmx476 min  66     500    ->  66

mnmx477 min  666    5000   ->  666

mnmx478 min  6666   50000  ->  6.67E+3 Rounded Inexact

mnmx479 min  66666  500000 ->  6.67E+4 Rounded Inexact

mnmx480 min  33333  500000 ->  3.33E+4 Rounded Inexact

mnmx481 min  75401  1      ->  1

mnmx482 min  75402  10     ->  10

mnmx483 min  75403  100    ->  100

mnmx484 min  75404  1000   ->  1.00E+3 Rounded

mnmx485 min  75405  10000  ->  1.00E+4 Rounded

mnmx486 min  75406  6      ->  6

mnmx487 min  75407  66     ->  66

mnmx488 min  75408  666    ->  666

mnmx489 min  75409  6666   ->  6.67E+3 Rounded Inexact

mnmx490 min  75410  66666  ->  6.67E+4 Rounded Inexact

mnmx491 min  75411  33333  ->  3.33E+4 Rounded Inexact

-- overflow tests

maxexponent: 999999999

minexponent: -999999999

precision: 3

mnmx500 min 9.999E+999999999  0 ->  0

mnmx501 min -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded

-- subnormals and underflow

precision: 3

maxexponent: 999

minexponent: -999

mnmx510 min  1.00E-999       0  ->   0

mnmx511 min  0.1E-999        0  ->   0

mnmx512 min  0.10E-999       0  ->   0

mnmx513 min  0.100E-999      0  ->   0

mnmx514 min  0.01E-999       0  ->   0

mnmx515 min  0.999E-999      0  ->   0

mnmx516 min  0.099E-999      0  ->   0

mnmx517 min  0.009E-999      0  ->   0

mnmx518 min  0.001E-999      0  ->   0

mnmx519 min  0.0009E-999     0  ->   0

mnmx520 min  0.0001E-999     0  ->   0

mnmx530 min -1.00E-999       0  ->  -1.00E-999

mnmx531 min -0.1E-999        0  ->  -1E-1000   Subnormal

mnmx532 min -0.10E-999       0  ->  -1.0E-1000 Subnormal

mnmx533 min -0.100E-999      0  ->  -1.0E-1000 Subnormal Rounded

mnmx534 min -0.01E-999       0  ->  -1E-1001   Subnormal

-- next is rounded to Nmin

mnmx535 min -0.999E-999      0  ->  -1.00E-999 Inexact Rounded Subnormal Underflow

mnmx536 min -0.099E-999      0  ->  -1.0E-1000 Inexact Rounded Subnormal Underflow

mnmx537 min -0.009E-999      0  ->  -1E-1001   Inexact Rounded Subnormal Underflow

mnmx538 min -0.001E-999      0  ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped

mnmx539 min -0.0009E-999     0  ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped

mnmx540 min -0.0001E-999     0  ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped

-- misalignment traps for little-endian

precision: 9

mnmx551 min      1.0       0.1  -> 0.1

mnmx552 min      0.1       1.0  -> 0.1

mnmx553 min     10.0       0.1  -> 0.1

mnmx554 min      0.1      10.0  -> 0.1

mnmx555 min      100       1.0  -> 1.0

mnmx556 min      1.0       100  -> 1.0

mnmx557 min     1000      10.0  -> 10.0

mnmx558 min     10.0      1000  -> 10.0

mnmx559 min    10000     100.0  -> 100.0

mnmx560 min    100.0     10000  -> 100.0

mnmx561 min   100000    1000.0  -> 1000.0

mnmx562 min   1000.0    100000  -> 1000.0

mnmx563 min  1000000   10000.0  -> 10000.0

mnmx564 min  10000.0   1000000  -> 10000.0

-- Null tests

mnm900 min 10  # -> NaN Invalid_operation

mnm901 min  # 10 -> NaN Invalid_operation