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

-- dsEncode.decTest -- decimal four-byte format testcases             --

-- Copyright (c) IBM Corporation, 2000, 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                                                   --

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

-- [Previously called decimal32.decTest]

version: 2.58

-- This set of tests is for the four-byte concrete representation.

-- Its characteristics are:

--

--  1 bit  sign

--  5 bits combination field

--  6 bits exponent continuation

-- 20 bits coefficient continuation

--

-- Total exponent length 8 bits

-- Total coefficient length 24 bits (7 digits)

--

-- Elimit =  191 (maximum encoded exponent)

-- Emax   =   96 (largest exponent value)

-- Emin   =  -95 (smallest exponent value)

-- bias   =  101 (subtracted from encoded exponent) = -Etiny

-- The testcases here have only exactly representable data on the

-- 'left-hand-side'; rounding from strings is tested in 'base'

-- testcase groups.

extended:    1

clamp:       1

precision:   7

rounding:    half_up

maxExponent: 96

minExponent: -95

-- General testcases

-- (mostly derived from the Strawman 4 document and examples)

decs001 apply   #A23003D0          -> -7.50

decs002 apply   -7.50              -> #A23003D0

-- derivative canonical plain strings

decs003 apply   #A26003D0         -> -7.50E+3

decs004 apply   -7.50E+3          -> #A26003D0

decs005 apply   #A25003D0         -> -750

decs006 apply   -750              -> #A25003D0

decs007 apply   #A24003D0         -> -75.0

decs008 apply   -75.0             -> #A24003D0

decs009 apply   #A22003D0         -> -0.750

decs010 apply   -0.750            -> #A22003D0

decs011 apply   #A21003D0         -> -0.0750

decs012 apply   -0.0750           -> #A21003D0

decs013 apply   #A1f003D0         -> -0.000750

decs014 apply   -0.000750         -> #A1f003D0

decs015 apply   #A1d003D0         -> -0.00000750

decs016 apply   -0.00000750       -> #A1d003D0

decs017 apply   #A1c003D0         -> -7.50E-7

decs018 apply   -7.50E-7          -> #A1c003D0

-- Normality

decs020 apply   1234567            -> #2654d2e7

decs021 apply  -1234567            -> #a654d2e7

decs022 apply   1111111            -> #26524491

-- Nmax and similar

decs031 apply   9.999999E+96            -> #77f3fcff

decs032 apply   #77f3fcff               -> 9.999999E+96

decs033 apply   1.234567E+96            -> #47f4d2e7

decs034 apply   #47f4d2e7               -> 1.234567E+96

-- fold-downs (more below)

decs035 apply   1.23E+96                -> #47f4c000 Clamped

decs036 apply   #47f4c000               -> 1.230000E+96

decs037 apply   1E+96                   -> #47f00000 Clamped

decs038 apply   #47f00000               -> 1.000000E+96

decs051 apply   12345                   -> #225049c5

decs052 apply   #225049c5               -> 12345

decs053 apply   1234                    -> #22500534

decs054 apply   #22500534               -> 1234

decs055 apply   123                     -> #225000a3

decs056 apply   #225000a3               -> 123

decs057 apply   12                      -> #22500012

decs058 apply   #22500012               -> 12

decs059 apply   1                       -> #22500001

decs060 apply   #22500001               -> 1

decs061 apply   1.23                    -> #223000a3

decs062 apply   #223000a3               -> 1.23

decs063 apply   123.45                  -> #223049c5

decs064 apply   #223049c5               -> 123.45

-- Nmin and below

decs071 apply   1E-95                   -> #00600001

decs072 apply   #00600001               -> 1E-95

decs073 apply   1.000000E-95            -> #04000000

decs074 apply   #04000000               -> 1.000000E-95

decs075 apply   1.000001E-95            -> #04000001

decs076 apply   #04000001               -> 1.000001E-95

decs077 apply   0.100000E-95            -> #00020000     Subnormal

decs07x apply   1.00000E-96             -> 1.00000E-96   Subnormal

decs078 apply   #00020000               -> 1.00000E-96   Subnormal

decs079 apply   0.000010E-95            -> #00000010     Subnormal

decs080 apply   #00000010               -> 1.0E-100      Subnormal

decs081 apply   0.000001E-95            -> #00000001     Subnormal

decs082 apply   #00000001               -> 1E-101        Subnormal

decs083 apply   1e-101                  -> #00000001     Subnormal

decs084 apply   #00000001               -> 1E-101        Subnormal

decs08x apply   1e-101                  -> 1E-101        Subnormal

-- underflows cannot be tested; just check edge case

decs090 apply   1e-101                  -> #00000001  Subnormal

-- same again, negatives --

-- Nmax and similar

decs122 apply  -9.999999E+96            -> #f7f3fcff

decs123 apply   #f7f3fcff               -> -9.999999E+96

decs124 apply  -1.234567E+96            -> #c7f4d2e7

decs125 apply   #c7f4d2e7               -> -1.234567E+96

-- fold-downs (more below)

decs130 apply  -1.23E+96                -> #c7f4c000 Clamped

decs131 apply   #c7f4c000               -> -1.230000E+96

decs132 apply  -1E+96                   -> #c7f00000 Clamped

decs133 apply   #c7f00000               -> -1.000000E+96

decs151 apply  -12345                   -> #a25049c5

decs152 apply   #a25049c5               -> -12345

decs153 apply  -1234                    -> #a2500534

decs154 apply   #a2500534               -> -1234

decs155 apply  -123                     -> #a25000a3

decs156 apply   #a25000a3               -> -123

decs157 apply  -12                      -> #a2500012

decs158 apply   #a2500012               -> -12

decs159 apply  -1                       -> #a2500001

decs160 apply   #a2500001               -> -1

decs161 apply  -1.23                    -> #a23000a3

decs162 apply   #a23000a3               -> -1.23

decs163 apply  -123.45                  -> #a23049c5

decs164 apply   #a23049c5               -> -123.45

-- Nmin and below

decs171 apply  -1E-95                   -> #80600001

decs172 apply   #80600001               -> -1E-95

decs173 apply  -1.000000E-95            -> #84000000

decs174 apply   #84000000               -> -1.000000E-95

decs175 apply  -1.000001E-95            -> #84000001

decs176 apply   #84000001               -> -1.000001E-95

decs177 apply  -0.100000E-95            -> #80020000     Subnormal

decs178 apply   #80020000               -> -1.00000E-96  Subnormal

decs179 apply  -0.000010E-95            -> #80000010     Subnormal

decs180 apply   #80000010               -> -1.0E-100     Subnormal

decs181 apply  -0.000001E-95            -> #80000001     Subnormal

decs182 apply   #80000001               -> -1E-101       Subnormal

decs183 apply  -1e-101                  -> #80000001     Subnormal

decs184 apply   #80000001               -> -1E-101       Subnormal

-- underflow edge case

decs190 apply  -1e-101                  -> #80000001  Subnormal

-- zeros

decs400 apply   0E-400                  -> #00000000  Clamped

decs401 apply   0E-101                  -> #00000000

decs402 apply   #00000000               -> 0E-101

decs403 apply   0.000000E-95            -> #00000000

decs404 apply   #00000000               -> 0E-101

decs405 apply   0E-2                    -> #22300000

decs406 apply   #22300000               -> 0.00

decs407 apply   0                       -> #22500000

decs408 apply   #22500000               -> 0

decs409 apply   0E+3                    -> #22800000

decs410 apply   #22800000               -> 0E+3

decs411 apply   0E+90                   -> #43f00000

decs412 apply   #43f00000               -> 0E+90

-- clamped zeros...

decs413 apply   0E+91                   -> #43f00000  Clamped

decs414 apply   #43f00000               -> 0E+90

decs415 apply   0E+96                   -> #43f00000  Clamped

decs416 apply   #43f00000               -> 0E+90

decs417 apply   0E+400                  -> #43f00000  Clamped

decs418 apply   #43f00000               -> 0E+90

-- negative zeros

decs420 apply   -0E-400                 -> #80000000  Clamped

decs421 apply   -0E-101                 -> #80000000

decs422 apply   #80000000               -> -0E-101

decs423 apply   -0.000000E-95           -> #80000000

decs424 apply   #80000000               -> -0E-101

decs425 apply   -0E-2                   -> #a2300000

decs426 apply   #a2300000               -> -0.00

decs427 apply   -0                      -> #a2500000

decs428 apply   #a2500000               -> -0

decs429 apply   -0E+3                   -> #a2800000

decs430 apply   #a2800000               -> -0E+3

decs431 apply   -0E+90                  -> #c3f00000

decs432 apply   #c3f00000               -> -0E+90

-- clamped zeros...

decs433 apply   -0E+91                  -> #c3f00000  Clamped

decs434 apply   #c3f00000               -> -0E+90

decs435 apply   -0E+96                  -> #c3f00000  Clamped

decs436 apply   #c3f00000               -> -0E+90

decs437 apply   -0E+400                 -> #c3f00000  Clamped

decs438 apply   #c3f00000               -> -0E+90

-- Specials

decs500 apply   Infinity  -> #78000000

decs501 apply   #78787878 -> #78000000

decs502 apply   #78000000 -> Infinity

decs503 apply   #79797979 -> #78000000

decs504 apply   #79000000 -> Infinity

decs505 apply   #7a7a7a7a -> #78000000

decs506 apply   #7a000000 -> Infinity

decs507 apply   #7b7b7b7b -> #78000000

decs508 apply   #7b000000 -> Infinity

decs509 apply   #7c7c7c7c -> #7c0c7c7c

decs510 apply   NaN       -> #7c000000

decs511 apply   #7c000000 -> NaN

decs512 apply   #7d7d7d7d -> #7c0d7d7d

decs513 apply   #7d000000 -> NaN

decs514 apply   #7e7e7e7e -> #7e0e7c7e

decs515 apply   #7e000000 -> sNaN

decs516 apply   #7f7f7f7f -> #7e0f7c7f

decs517 apply   #7f000000 -> sNaN

decs518 apply   #7fffffff -> sNaN999999

decs519 apply   #7fffffff -> #7e03fcff

decs520 apply   -Infinity -> #f8000000

decs521 apply   #f8787878 -> #f8000000

decs522 apply   #f8000000 -> -Infinity

decs523 apply   #f9797979 -> #f8000000

decs524 apply   #f9000000 -> -Infinity

decs525 apply   #fa7a7a7a -> #f8000000

decs526 apply   #fa000000 -> -Infinity

decs527 apply   #fb7b7b7b -> #f8000000

decs528 apply   #fb000000 -> -Infinity

decs529 apply   -NaN      -> #fc000000

decs530 apply   #fc7c7c7c -> #fc0c7c7c

decs531 apply   #fc000000 -> -NaN

decs532 apply   #fd7d7d7d -> #fc0d7d7d

decs533 apply   #fd000000 -> -NaN

decs534 apply   #fe7e7e7e -> #fe0e7c7e

decs535 apply   #fe000000 -> -sNaN

decs536 apply   #ff7f7f7f -> #fe0f7c7f

decs537 apply   #ff000000 -> -sNaN

decs538 apply   #ffffffff -> -sNaN999999

decs539 apply   #ffffffff -> #fe03fcff

-- diagnostic NaNs

decs540 apply   NaN       -> #7c000000

decs541 apply   NaN0      -> #7c000000

decs542 apply   NaN1      -> #7c000001

decs543 apply   NaN12     -> #7c000012

decs544 apply   NaN79     -> #7c000079

decs545 apply   NaN12345   -> #7c0049c5

decs546 apply   NaN123456  -> #7c028e56

decs547 apply   NaN799799  -> #7c0f7fdf

decs548 apply   NaN999999  -> #7c03fcff

-- fold-down full sequence

decs601 apply   1E+96                   -> #47f00000 Clamped

decs602 apply   #47f00000               -> 1.000000E+96

decs603 apply   1E+95                   -> #43f20000 Clamped

decs604 apply   #43f20000               -> 1.00000E+95

decs605 apply   1E+94                   -> #43f04000 Clamped

decs606 apply   #43f04000               -> 1.0000E+94

decs607 apply   1E+93                   -> #43f00400 Clamped

decs608 apply   #43f00400               -> 1.000E+93

decs609 apply   1E+92                   -> #43f00080 Clamped

decs610 apply   #43f00080               -> 1.00E+92

decs611 apply   1E+91                   -> #43f00010 Clamped

decs612 apply   #43f00010               -> 1.0E+91

decs613 apply   1E+90                   -> #43f00001

decs614 apply   #43f00001               -> 1E+90

-- Selected DPD codes

decs700 apply   #22500000       -> 0

decs701 apply   #22500009       -> 9

decs702 apply   #22500010       -> 10

decs703 apply   #22500019       -> 19

decs704 apply   #22500020       -> 20

decs705 apply   #22500029       -> 29

decs706 apply   #22500030       -> 30

decs707 apply   #22500039       -> 39

decs708 apply   #22500040       -> 40

decs709 apply   #22500049       -> 49

decs710 apply   #22500050       -> 50

decs711 apply   #22500059       -> 59

decs712 apply   #22500060       -> 60

decs713 apply   #22500069       -> 69

decs714 apply   #22500070       -> 70

decs715 apply   #22500071       -> 71

decs716 apply   #22500072       -> 72

decs717 apply   #22500073       -> 73

decs718 apply   #22500074       -> 74

decs719 apply   #22500075       -> 75

decs720 apply   #22500076       -> 76

decs721 apply   #22500077       -> 77

decs722 apply   #22500078       -> 78

decs723 apply   #22500079       -> 79

decs730 apply   #2250029e       -> 994

decs731 apply   #2250029f       -> 995

decs732 apply   #225002a0       -> 520

decs733 apply   #225002a1       -> 521

-- DPD: one of each of the huffman groups

decs740 apply   #225003f7       -> 777

decs741 apply   #225003f8       -> 778

decs742 apply   #225003eb       -> 787

decs743 apply   #2250037d       -> 877

decs744 apply   #2250039f       -> 997

decs745 apply   #225003bf       -> 979

decs746 apply   #225003df       -> 799

decs747 apply   #2250006e       -> 888

-- DPD all-highs cases (includes the 24 redundant codes)

decs750 apply   #2250006e       -> 888

decs751 apply   #2250016e       -> 888

decs752 apply   #2250026e       -> 888

decs753 apply   #2250036e       -> 888

decs754 apply   #2250006f       -> 889

decs755 apply   #2250016f       -> 889

decs756 apply   #2250026f       -> 889

decs757 apply   #2250036f       -> 889

decs760 apply   #2250007e       -> 898

decs761 apply   #2250017e       -> 898

decs762 apply   #2250027e       -> 898

decs763 apply   #2250037e       -> 898

decs764 apply   #2250007f       -> 899

decs765 apply   #2250017f       -> 899

decs766 apply   #2250027f       -> 899

decs767 apply   #2250037f       -> 899

decs770 apply   #225000ee       -> 988

decs771 apply   #225001ee       -> 988

decs772 apply   #225002ee       -> 988

decs773 apply   #225003ee       -> 988

decs774 apply   #225000ef       -> 989

decs775 apply   #225001ef       -> 989

decs776 apply   #225002ef       -> 989

decs777 apply   #225003ef       -> 989

decs780 apply   #225000fe       -> 998

decs781 apply   #225001fe       -> 998

decs782 apply   #225002fe       -> 998

decs783 apply   #225003fe       -> 998

decs784 apply   #225000ff       -> 999

decs785 apply   #225001ff       -> 999

decs786 apply   #225002ff       -> 999

decs787 apply   #225003ff       -> 999

-- narrowing case

decs790 apply 2.00E-99 -> #00000100 Subnormal

decs791 apply #00000100 -> 2.00E-99 Subnormal