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