| ------------------------------------------------------------------------ |
| -- 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 |