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✏️ dsEncode.decTest
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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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