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

-- maxmag.decTest -- decimal maximum by magnitude                     --

-- 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

mxgx001 maxmag  -2  -2  -> -2

mxgx002 maxmag  -2  -1  -> -2

mxgx003 maxmag  -2   0  -> -2

mxgx004 maxmag  -2   1  -> -2

mxgx005 maxmag  -2   2  ->  2

mxgx006 maxmag  -1  -2  -> -2

mxgx007 maxmag  -1  -1  -> -1

mxgx008 maxmag  -1   0  -> -1

mxgx009 maxmag  -1   1  ->  1

mxgx010 maxmag  -1   2  ->  2

mxgx011 maxmag   0  -2  -> -2

mxgx012 maxmag   0  -1  -> -1

mxgx013 maxmag   0   0  ->  0

mxgx014 maxmag   0   1  ->  1

mxgx015 maxmag   0   2  ->  2

mxgx016 maxmag   1  -2  -> -2

mxgx017 maxmag   1  -1  ->  1

mxgx018 maxmag   1   0  ->  1

mxgx019 maxmag   1   1  ->  1

mxgx020 maxmag   1   2  ->  2

mxgx021 maxmag   2  -2  ->  2

mxgx022 maxmag   2  -1  ->  2

mxgx023 maxmag   2   0  ->  2

mxgx025 maxmag   2   1  ->  2

mxgx026 maxmag   2   2  ->  2

-- extended zeros

mxgx030 maxmag   0     0   ->  0

mxgx031 maxmag   0    -0   ->  0

mxgx032 maxmag   0    -0.0 ->  0

mxgx033 maxmag   0     0.0 ->  0

mxgx034 maxmag  -0     0   ->  0    -- note: -0 = 0, but 0 chosen

mxgx035 maxmag  -0    -0   -> -0

mxgx036 maxmag  -0    -0.0 -> -0.0

mxgx037 maxmag  -0     0.0 ->  0.0

mxgx038 maxmag   0.0   0   ->  0

mxgx039 maxmag   0.0  -0   ->  0.0

mxgx040 maxmag   0.0  -0.0 ->  0.0

mxgx041 maxmag   0.0   0.0 ->  0.0

mxgx042 maxmag  -0.0   0   ->  0

mxgx043 maxmag  -0.0  -0   -> -0.0

mxgx044 maxmag  -0.0  -0.0 -> -0.0

mxgx045 maxmag  -0.0   0.0 ->  0.0

mxgx050 maxmag  -0E1   0E1 ->  0E+1

mxgx051 maxmag  -0E2   0E2 ->  0E+2

mxgx052 maxmag  -0E2   0E1 ->  0E+1

mxgx053 maxmag  -0E1   0E2 ->  0E+2

mxgx054 maxmag   0E1  -0E1 ->  0E+1

mxgx055 maxmag   0E2  -0E2 ->  0E+2

mxgx056 maxmag   0E2  -0E1 ->  0E+2

mxgx057 maxmag   0E1  -0E2 ->  0E+1

mxgx058 maxmag   0E1   0E1 ->  0E+1

mxgx059 maxmag   0E2   0E2 ->  0E+2

mxgx060 maxmag   0E2   0E1 ->  0E+2

mxgx061 maxmag   0E1   0E2 ->  0E+2

mxgx062 maxmag  -0E1  -0E1 -> -0E+1

mxgx063 maxmag  -0E2  -0E2 -> -0E+2

mxgx064 maxmag  -0E2  -0E1 -> -0E+1

mxgx065 maxmag  -0E1  -0E2 -> -0E+1

-- Specials

precision: 9

mxgx090 maxmag  Inf  -Inf   ->  Infinity

mxgx091 maxmag  Inf  -1000  ->  Infinity

mxgx092 maxmag  Inf  -1     ->  Infinity

mxgx093 maxmag  Inf  -0     ->  Infinity

mxgx094 maxmag  Inf   0     ->  Infinity

mxgx095 maxmag  Inf   1     ->  Infinity

mxgx096 maxmag  Inf   1000  ->  Infinity

mxgx097 maxmag  Inf   Inf   ->  Infinity

mxgx098 maxmag -1000  Inf   ->  Infinity

mxgx099 maxmag -Inf   Inf   ->  Infinity

mxgx100 maxmag -1     Inf   ->  Infinity

mxgx101 maxmag -0     Inf   ->  Infinity

mxgx102 maxmag  0     Inf   ->  Infinity

mxgx103 maxmag  1     Inf   ->  Infinity

mxgx104 maxmag  1000  Inf   ->  Infinity

mxgx105 maxmag  Inf   Inf   ->  Infinity

mxgx120 maxmag -Inf  -Inf   -> -Infinity

mxgx121 maxmag -Inf  -1000  -> -Infinity

mxgx122 maxmag -Inf  -1     -> -Infinity

mxgx123 maxmag -Inf  -0     -> -Infinity

mxgx124 maxmag -Inf   0     -> -Infinity

mxgx125 maxmag -Inf   1     -> -Infinity

mxgx126 maxmag -Inf   1000  -> -Infinity

mxgx127 maxmag -Inf   Inf   ->  Infinity

mxgx128 maxmag -Inf  -Inf   -> -Infinity

mxgx129 maxmag -1000 -Inf   -> -Infinity

mxgx130 maxmag -1    -Inf   -> -Infinity

mxgx131 maxmag -0    -Inf   -> -Infinity

mxgx132 maxmag  0    -Inf   -> -Infinity

mxgx133 maxmag  1    -Inf   -> -Infinity

mxgx134 maxmag  1000 -Inf   -> -Infinity

mxgx135 maxmag  Inf  -Inf   ->  Infinity

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

mxgx141 maxmag  NaN -Inf    -> -Infinity

mxgx142 maxmag  NaN -1000   -> -1000

mxgx143 maxmag  NaN -1      -> -1

mxgx144 maxmag  NaN -0      -> -0

mxgx145 maxmag  NaN  0      ->  0

mxgx146 maxmag  NaN  1      ->  1

mxgx147 maxmag  NaN  1000   ->  1000

mxgx148 maxmag  NaN  Inf    ->  Infinity

mxgx149 maxmag  NaN  NaN    ->  NaN

mxgx150 maxmag -Inf  NaN    -> -Infinity

mxgx151 maxmag -1000 NaN    -> -1000

mxgx152 maxmag -1    NaN    -> -1

mxgx153 maxmag -0    NaN    -> -0

mxgx154 maxmag  0    NaN    ->  0

mxgx155 maxmag  1    NaN    ->  1

mxgx156 maxmag  1000 NaN    ->  1000

mxgx157 maxmag  Inf  NaN    ->  Infinity

mxgx161 maxmag  sNaN -Inf   ->  NaN  Invalid_operation

mxgx162 maxmag  sNaN -1000  ->  NaN  Invalid_operation

mxgx163 maxmag  sNaN -1     ->  NaN  Invalid_operation

mxgx164 maxmag  sNaN -0     ->  NaN  Invalid_operation

mxgx165 maxmag  sNaN  0     ->  NaN  Invalid_operation

mxgx166 maxmag  sNaN  1     ->  NaN  Invalid_operation

mxgx167 maxmag  sNaN  1000  ->  NaN  Invalid_operation

mxgx168 maxmag  sNaN  NaN   ->  NaN  Invalid_operation

mxgx169 maxmag  sNaN sNaN   ->  NaN  Invalid_operation

mxgx170 maxmag  NaN  sNaN   ->  NaN  Invalid_operation

mxgx171 maxmag -Inf  sNaN   ->  NaN  Invalid_operation

mxgx172 maxmag -1000 sNaN   ->  NaN  Invalid_operation

mxgx173 maxmag -1    sNaN   ->  NaN  Invalid_operation

mxgx174 maxmag -0    sNaN   ->  NaN  Invalid_operation

mxgx175 maxmag  0    sNaN   ->  NaN  Invalid_operation

mxgx176 maxmag  1    sNaN   ->  NaN  Invalid_operation

mxgx177 maxmag  1000 sNaN   ->  NaN  Invalid_operation

mxgx178 maxmag  Inf  sNaN   ->  NaN  Invalid_operation

mxgx179 maxmag  NaN  sNaN   ->  NaN  Invalid_operation

-- propagating NaNs

mxgx181 maxmag  NaN9  -Inf   -> -Infinity

mxgx182 maxmag  NaN8     9   ->  9

mxgx183 maxmag -NaN7   Inf   ->  Infinity

mxgx184 maxmag -NaN1   NaN11 -> -NaN1

mxgx185 maxmag  NaN2   NaN12 ->  NaN2

mxgx186 maxmag -NaN13 -NaN7  -> -NaN13

mxgx187 maxmag  NaN14 -NaN5  ->  NaN14

mxgx188 maxmag -Inf    NaN4  -> -Infinity

mxgx189 maxmag -9     -NaN3  -> -9

mxgx190 maxmag  Inf    NaN2  ->  Infinity

mxgx191 maxmag  sNaN99 -Inf    ->  NaN99 Invalid_operation

mxgx192 maxmag  sNaN98 -1      ->  NaN98 Invalid_operation

mxgx193 maxmag -sNaN97  NaN    -> -NaN97 Invalid_operation

mxgx194 maxmag  sNaN96 sNaN94  ->  NaN96 Invalid_operation

mxgx195 maxmag  NaN95  sNaN93  ->  NaN93 Invalid_operation

mxgx196 maxmag -Inf    sNaN92  ->  NaN92 Invalid_operation

mxgx197 maxmag  0      sNaN91  ->  NaN91 Invalid_operation

mxgx198 maxmag  Inf   -sNaN90  -> -NaN90 Invalid_operation

mxgx199 maxmag  NaN    sNaN89  ->  NaN89 Invalid_operation

-- rounding checks

maxexponent: 999

minexponent: -999

precision: 9

mxgx201 maxmag 12345678000 1  -> 1.23456780E+10 Rounded

mxgx202 maxmag 1 12345678000  -> 1.23456780E+10 Rounded

mxgx203 maxmag 1234567800  1  -> 1.23456780E+9 Rounded

mxgx204 maxmag 1 1234567800   -> 1.23456780E+9 Rounded

mxgx205 maxmag 1234567890  1  -> 1.23456789E+9 Rounded

mxgx206 maxmag 1 1234567890   -> 1.23456789E+9 Rounded

mxgx207 maxmag 1234567891  1  -> 1.23456789E+9 Inexact Rounded

mxgx208 maxmag 1 1234567891   -> 1.23456789E+9 Inexact Rounded

mxgx209 maxmag 12345678901 1  -> 1.23456789E+10 Inexact Rounded

mxgx210 maxmag 1 12345678901  -> 1.23456789E+10 Inexact Rounded

mxgx211 maxmag 1234567896  1  -> 1.23456790E+9 Inexact Rounded

mxgx212 maxmag 1 1234567896   -> 1.23456790E+9 Inexact Rounded

mxgx213 maxmag -1234567891  1 -> -1.23456789E+9   Inexact Rounded

mxgx214 maxmag 1 -1234567891  -> -1.23456789E+9   Inexact Rounded

mxgx215 maxmag -12345678901 1 -> -1.23456789E+10  Inexact Rounded

mxgx216 maxmag 1 -12345678901 -> -1.23456789E+10  Inexact Rounded

mxgx217 maxmag -1234567896  1 -> -1.23456790E+9   Inexact Rounded

mxgx218 maxmag 1 -1234567896  -> -1.23456790E+9   Inexact Rounded

precision: 15

mxgx221 maxmag 12345678000 1  -> 12345678000

mxgx222 maxmag 1 12345678000  -> 12345678000

mxgx223 maxmag 1234567800  1  -> 1234567800

mxgx224 maxmag 1 1234567800   -> 1234567800

mxgx225 maxmag 1234567890  1  -> 1234567890

mxgx226 maxmag 1 1234567890   -> 1234567890

mxgx227 maxmag 1234567891  1  -> 1234567891

mxgx228 maxmag 1 1234567891   -> 1234567891

mxgx229 maxmag 12345678901 1  -> 12345678901

mxgx230 maxmag 1 12345678901  -> 12345678901

mxgx231 maxmag 1234567896  1  -> 1234567896

mxgx232 maxmag 1 1234567896   -> 1234567896

mxgx233 maxmag -1234567891  1 -> -1234567891

mxgx234 maxmag 1 -1234567891  -> -1234567891

mxgx235 maxmag -12345678901 1 -> -12345678901

mxgx236 maxmag 1 -12345678901 -> -12345678901

mxgx237 maxmag -1234567896  1 -> -1234567896

mxgx238 maxmag 1 -1234567896  -> -1234567896

-- from examples

mxgx280 maxmag '3'   '2'  ->  '3'

mxgx281 maxmag '-10' '3'  ->  '-10'

mxgx282 maxmag '1.0' '1'  ->  '1'

mxgx283 maxmag '1' '1.0'  ->  '1'

mxgx284 maxmag '7' 'NaN'  ->  '7'

-- overflow and underflow tests ...

maxExponent: 999999999

minexponent: -999999999

mxgx330 maxmag +1.23456789012345E-0 9E+999999999 ->  9E+999999999

mxgx331 maxmag 9E+999999999 +1.23456789012345E-0 ->  9E+999999999

mxgx332 maxmag +0.100 9E-999999999               ->  0.100

mxgx333 maxmag 9E-999999999 +0.100               ->  0.100

mxgx335 maxmag -1.23456789012345E-0 9E+999999999 ->  9E+999999999

mxgx336 maxmag 9E+999999999 -1.23456789012345E-0 ->  9E+999999999

mxgx337 maxmag -0.100 9E-999999999               ->  -0.100

mxgx338 maxmag 9E-999999999 -0.100               ->  -0.100

mxgx339 maxmag 1e-599999999 1e-400000001   ->  1E-400000001

mxgx340 maxmag 1e-599999999 1e-400000000   ->  1E-400000000

mxgx341 maxmag 1e-600000000 1e-400000000   ->  1E-400000000

mxgx342 maxmag 9e-999999998 0.01           ->  0.01

mxgx343 maxmag 9e-999999998 0.1            ->  0.1

mxgx344 maxmag 0.01 9e-999999998           ->  0.01

mxgx345 maxmag 1e599999999 1e400000001     ->  1E+599999999

mxgx346 maxmag 1e599999999 1e400000000     ->  1E+599999999

mxgx347 maxmag 1e600000000 1e400000000     ->  1E+600000000

mxgx348 maxmag 9e999999998 100             ->  9E+999999998

mxgx349 maxmag 9e999999998 10              ->  9E+999999998

mxgx350 maxmag 100  9e999999998            ->  9E+999999998

-- signs

mxgx351 maxmag  1e+777777777  1e+411111111 ->  1E+777777777

mxgx352 maxmag  1e+777777777 -1e+411111111 ->  1E+777777777

mxgx353 maxmag -1e+777777777  1e+411111111 -> -1E+777777777

mxgx354 maxmag -1e+777777777 -1e+411111111 -> -1E+777777777

mxgx355 maxmag  1e-777777777  1e-411111111 ->  1E-411111111

mxgx356 maxmag  1e-777777777 -1e-411111111 -> -1E-411111111

mxgx357 maxmag -1e-777777777  1e-411111111 ->  1E-411111111

mxgx358 maxmag -1e-777777777 -1e-411111111 -> -1E-411111111

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

-- [explicit tests for exponent ordering]

mxgx401 maxmag  Inf    1.1     ->  Infinity

mxgx402 maxmag  1.1    1       ->  1.1

mxgx403 maxmag  1      1.0     ->  1

mxgx404 maxmag  1.0    0.1     ->  1.0

mxgx405 maxmag  0.1    0.10    ->  0.1

mxgx406 maxmag  0.10   0.100   ->  0.10

mxgx407 maxmag  0.10   0       ->  0.10

mxgx408 maxmag  0      0.0     ->  0

mxgx409 maxmag  0.0   -0       ->  0.0

mxgx410 maxmag  0.0   -0.0     ->  0.0

mxgx411 maxmag  0.00  -0.0     ->  0.00

mxgx412 maxmag  0.0   -0.00    ->  0.0

mxgx413 maxmag  0     -0.0     ->  0

mxgx414 maxmag  0     -0       ->  0

mxgx415 maxmag -0.0   -0       -> -0.0

mxgx416 maxmag -0     -0.100   -> -0.100

mxgx417 maxmag -0.100 -0.10    -> -0.100

mxgx418 maxmag -0.10  -0.1     -> -0.10

mxgx419 maxmag -0.1   -1.0     -> -1.0

mxgx420 maxmag -1.0   -1       -> -1.0

mxgx421 maxmag -1     -1.1     -> -1.1

mxgx423 maxmag -1.1   -Inf     -> -Infinity

-- same with operands reversed

mxgx431 maxmag  1.1    Inf     ->  Infinity

mxgx432 maxmag  1      1.1     ->  1.1

mxgx433 maxmag  1.0    1       ->  1

mxgx434 maxmag  0.1    1.0     ->  1.0

mxgx435 maxmag  0.10   0.1     ->  0.1

mxgx436 maxmag  0.100  0.10    ->  0.10

mxgx437 maxmag  0      0.10    ->  0.10

mxgx438 maxmag  0.0    0       ->  0

mxgx439 maxmag -0      0.0     ->  0.0

mxgx440 maxmag -0.0    0.0     ->  0.0

mxgx441 maxmag -0.0    0.00    ->  0.00

mxgx442 maxmag -0.00   0.0     ->  0.0

mxgx443 maxmag -0.0    0       ->  0

mxgx444 maxmag -0      0       ->  0

mxgx445 maxmag -0     -0.0     -> -0.0

mxgx446 maxmag -0.100 -0       -> -0.100

mxgx447 maxmag -0.10  -0.100   -> -0.100

mxgx448 maxmag -0.1   -0.10    -> -0.10

mxgx449 maxmag -1.0   -0.1     -> -1.0

mxgx450 maxmag -1     -1.0     -> -1.0

mxgx451 maxmag -1.1   -1       -> -1.1

mxgx453 maxmag -Inf   -1.1     -> -Infinity

-- largies

mxgx460 maxmag  1000   1E+3    ->  1E+3

mxgx461 maxmag  1E+3   1000    ->  1E+3

mxgx462 maxmag  1000  -1E+3    ->  1000

mxgx463 maxmag  1E+3  -1000    ->  1E+3

mxgx464 maxmag -1000   1E+3    ->  1E+3

mxgx465 maxmag -1E+3   1000    ->  1000

mxgx466 maxmag -1000  -1E+3    -> -1000

mxgx467 maxmag -1E+3  -1000    -> -1000

-- rounding (results treated as though plus)

maxexponent: 999999999

minexponent: -999999999

precision: 3

mxgx470 maxmag  1      .5     ->  1

mxgx471 maxmag  10     5      ->  10

mxgx472 maxmag  100    50     ->  100

mxgx473 maxmag  1000   500    ->  1.00E+3 Rounded

mxgx474 maxmag  10000  5000   ->  1.00E+4 Rounded

mxgx475 maxmag  6      .5     ->  6

mxgx476 maxmag  66     5      ->  66

mxgx477 maxmag  666    50     ->  666

mxgx478 maxmag  6666   500    ->  6.67E+3 Rounded Inexact

mxgx479 maxmag  66666  5000   ->  6.67E+4 Rounded Inexact

mxgx480 maxmag  33333  5000   ->  3.33E+4 Rounded Inexact

mxgx481 maxmag  .5     1      ->  1

mxgx482 maxmag  .5     10     ->  10

mxgx483 maxmag  .5     100    ->  100

mxgx484 maxmag  .5     1000   ->  1.00E+3 Rounded

mxgx485 maxmag  .5     10000  ->  1.00E+4 Rounded

mxgx486 maxmag  .5     6      ->  6

mxgx487 maxmag  .5     66     ->  66

mxgx488 maxmag  .5     666    ->  666

mxgx489 maxmag  .5     6666   ->  6.67E+3 Rounded Inexact

mxgx490 maxmag  .5     66666  ->  6.67E+4 Rounded Inexact

mxgx491 maxmag  .5     33333  ->  3.33E+4 Rounded Inexact

-- overflow tests

maxexponent: 999999999

minexponent: -999999999

precision: 3

mxgx500 maxmag 9.999E+999999999  0 ->  Infinity Inexact Overflow Rounded

mxgx501 maxmag -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded

-- subnormals and underflow

precision: 3

maxexponent: 999

minexponent: -999

mxgx510 maxmag  1.00E-999       0  ->   1.00E-999

mxgx511 maxmag  0.1E-999        0  ->   1E-1000   Subnormal

mxgx512 maxmag  0.10E-999       0  ->   1.0E-1000 Subnormal

mxgx513 maxmag  0.100E-999      0  ->   1.0E-1000 Subnormal Rounded

mxgx514 maxmag  0.01E-999       0  ->   1E-1001   Subnormal

-- next is rounded to Nmin

mxgx515 maxmag  0.999E-999      0  ->   1.00E-999 Inexact Rounded Subnormal Underflow

mxgx516 maxmag  0.099E-999      0  ->   1.0E-1000 Inexact Rounded Subnormal Underflow

mxgx517 maxmag  0.009E-999      0  ->   1E-1001   Inexact Rounded Subnormal Underflow

mxgx518 maxmag  0.001E-999      0  ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped

mxgx519 maxmag  0.0009E-999     0  ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped

mxgx520 maxmag  0.0001E-999     0  ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped

mxgx530 maxmag -1.00E-999       0  ->  -1.00E-999

mxgx531 maxmag -0.1E-999        0  ->  -1E-1000   Subnormal

mxgx532 maxmag -0.10E-999       0  ->  -1.0E-1000 Subnormal

mxgx533 maxmag -0.100E-999      0  ->  -1.0E-1000 Subnormal Rounded

mxgx534 maxmag -0.01E-999       0  ->  -1E-1001   Subnormal

-- next is rounded to -Nmin

mxgx535 maxmag -0.999E-999      0  ->  -1.00E-999 Inexact Rounded Subnormal Underflow

mxgx536 maxmag -0.099E-999      0  ->  -1.0E-1000 Inexact Rounded Subnormal Underflow

mxgx537 maxmag -0.009E-999      0  ->  -1E-1001   Inexact Rounded Subnormal Underflow

mxgx538 maxmag -0.001E-999      0  ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped

mxgx539 maxmag -0.0009E-999     0  ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped

mxgx540 maxmag -0.0001E-999     0  ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped

-- Null tests

mxgx900 maxmag 10  #  -> NaN Invalid_operation

mxgx901 maxmag  # 10  -> NaN Invalid_operation