------------------------------------------------------------------------
-- 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: 2.59
-- 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