| 1 | ------------------------------------------------------------------------
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| 2 | -- tointegralx.decTest -- round decimal to integral value, exact --
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| 3 | -- Copyright (c) IBM Corporation, 2001, 2008. All rights reserved. --
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| 4 | ------------------------------------------------------------------------
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| 5 | -- Please see the document "General Decimal Arithmetic Testcases" --
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| 6 | -- at http://www2.hursley.ibm.com/decimal for the description of --
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| 7 | -- these testcases. --
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| 8 | -- --
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| 9 | -- These testcases are experimental ('beta' versions), and they --
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| 10 | -- may contain errors. They are offered on an as-is basis. In --
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| 11 | -- particular, achieving the same results as the tests here is not --
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| 12 | -- a guarantee that an implementation complies with any Standard --
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| 13 | -- or specification. The tests are not exhaustive. --
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| 14 | -- --
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| 15 | -- Please send comments, suggestions, and corrections to the author: --
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| 16 | -- Mike Cowlishaw, IBM Fellow --
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| 17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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| 18 | -- mfc@uk.ibm.com --
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| 19 | ------------------------------------------------------------------------
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| 20 | version: 2.59
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| 21 |
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| 22 | -- This set of tests tests the extended specification 'round-to-integral
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| 23 | -- value' operation (from IEEE 854, later modified in 754r).
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| 24 | -- All non-zero results are defined as being those from either copy or
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| 25 | -- quantize, so those are assumed to have been tested.
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| 26 |
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| 27 | -- This tests toIntegraExact, which may set Inexact
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| 28 |
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| 29 | extended: 1
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| 30 | precision: 9
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| 31 | rounding: half_up
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| 32 | maxExponent: 999
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| 33 | minExponent: -999
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| 34 |
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| 35 | intxx001 tointegralx 0 -> 0
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| 36 | intxx002 tointegralx 0.0 -> 0
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| 37 | intxx003 tointegralx 0.1 -> 0 Inexact Rounded
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| 38 | intxx004 tointegralx 0.2 -> 0 Inexact Rounded
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| 39 | intxx005 tointegralx 0.3 -> 0 Inexact Rounded
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| 40 | intxx006 tointegralx 0.4 -> 0 Inexact Rounded
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| 41 | intxx007 tointegralx 0.5 -> 1 Inexact Rounded
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| 42 | intxx008 tointegralx 0.6 -> 1 Inexact Rounded
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| 43 | intxx009 tointegralx 0.7 -> 1 Inexact Rounded
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| 44 | intxx010 tointegralx 0.8 -> 1 Inexact Rounded
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| 45 | intxx011 tointegralx 0.9 -> 1 Inexact Rounded
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| 46 | intxx012 tointegralx 1 -> 1
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| 47 | intxx013 tointegralx 1.0 -> 1 Rounded
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| 48 | intxx014 tointegralx 1.1 -> 1 Inexact Rounded
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| 49 | intxx015 tointegralx 1.2 -> 1 Inexact Rounded
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| 50 | intxx016 tointegralx 1.3 -> 1 Inexact Rounded
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| 51 | intxx017 tointegralx 1.4 -> 1 Inexact Rounded
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| 52 | intxx018 tointegralx 1.5 -> 2 Inexact Rounded
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| 53 | intxx019 tointegralx 1.6 -> 2 Inexact Rounded
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| 54 | intxx020 tointegralx 1.7 -> 2 Inexact Rounded
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| 55 | intxx021 tointegralx 1.8 -> 2 Inexact Rounded
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| 56 | intxx022 tointegralx 1.9 -> 2 Inexact Rounded
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| 57 | -- negatives
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| 58 | intxx031 tointegralx -0 -> -0
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| 59 | intxx032 tointegralx -0.0 -> -0
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| 60 | intxx033 tointegralx -0.1 -> -0 Inexact Rounded
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| 61 | intxx034 tointegralx -0.2 -> -0 Inexact Rounded
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| 62 | intxx035 tointegralx -0.3 -> -0 Inexact Rounded
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| 63 | intxx036 tointegralx -0.4 -> -0 Inexact Rounded
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| 64 | intxx037 tointegralx -0.5 -> -1 Inexact Rounded
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| 65 | intxx038 tointegralx -0.6 -> -1 Inexact Rounded
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| 66 | intxx039 tointegralx -0.7 -> -1 Inexact Rounded
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| 67 | intxx040 tointegralx -0.8 -> -1 Inexact Rounded
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| 68 | intxx041 tointegralx -0.9 -> -1 Inexact Rounded
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| 69 | intxx042 tointegralx -1 -> -1
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| 70 | intxx043 tointegralx -1.0 -> -1 Rounded
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| 71 | intxx044 tointegralx -1.1 -> -1 Inexact Rounded
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| 72 | intxx045 tointegralx -1.2 -> -1 Inexact Rounded
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| 73 | intxx046 tointegralx -1.3 -> -1 Inexact Rounded
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| 74 | intxx047 tointegralx -1.4 -> -1 Inexact Rounded
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| 75 | intxx048 tointegralx -1.5 -> -2 Inexact Rounded
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| 76 | intxx049 tointegralx -1.6 -> -2 Inexact Rounded
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| 77 | intxx050 tointegralx -1.7 -> -2 Inexact Rounded
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| 78 | intxx051 tointegralx -1.8 -> -2 Inexact Rounded
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| 79 | intxx052 tointegralx -1.9 -> -2 Inexact Rounded
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| 80 | -- next two would be NaN using quantize(x, 0)
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| 81 | intxx053 tointegralx 10E+30 -> 1.0E+31
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| 82 | intxx054 tointegralx -10E+30 -> -1.0E+31
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| 83 |
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| 84 | -- numbers around precision
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| 85 | precision: 9
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| 86 | intxx060 tointegralx '56267E-10' -> '0' Inexact Rounded
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| 87 | intxx061 tointegralx '56267E-5' -> '1' Inexact Rounded
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| 88 | intxx062 tointegralx '56267E-2' -> '563' Inexact Rounded
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| 89 | intxx063 tointegralx '56267E-1' -> '5627' Inexact Rounded
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| 90 | intxx065 tointegralx '56267E-0' -> '56267'
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| 91 | intxx066 tointegralx '56267E+0' -> '56267'
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| 92 | intxx067 tointegralx '56267E+1' -> '5.6267E+5'
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| 93 | intxx068 tointegralx '56267E+2' -> '5.6267E+6'
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| 94 | intxx069 tointegralx '56267E+3' -> '5.6267E+7'
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| 95 | intxx070 tointegralx '56267E+4' -> '5.6267E+8'
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| 96 | intxx071 tointegralx '56267E+5' -> '5.6267E+9'
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| 97 | intxx072 tointegralx '56267E+6' -> '5.6267E+10'
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| 98 | intxx073 tointegralx '1.23E+96' -> '1.23E+96'
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| 99 | intxx074 tointegralx '1.23E+384' -> '1.23E+384'
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| 100 | intxx075 tointegralx '1.23E+999' -> '1.23E+999'
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| 101 |
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| 102 | intxx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded
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| 103 | intxx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded
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| 104 | intxx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded
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| 105 | intxx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded
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| 106 | intxx085 tointegralx '-56267E-0' -> '-56267'
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| 107 | intxx086 tointegralx '-56267E+0' -> '-56267'
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| 108 | intxx087 tointegralx '-56267E+1' -> '-5.6267E+5'
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| 109 | intxx088 tointegralx '-56267E+2' -> '-5.6267E+6'
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| 110 | intxx089 tointegralx '-56267E+3' -> '-5.6267E+7'
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| 111 | intxx090 tointegralx '-56267E+4' -> '-5.6267E+8'
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| 112 | intxx091 tointegralx '-56267E+5' -> '-5.6267E+9'
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| 113 | intxx092 tointegralx '-56267E+6' -> '-5.6267E+10'
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| 114 | intxx093 tointegralx '-1.23E+96' -> '-1.23E+96'
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| 115 | intxx094 tointegralx '-1.23E+384' -> '-1.23E+384'
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| 116 | intxx095 tointegralx '-1.23E+999' -> '-1.23E+999'
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| 117 |
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| 118 | -- subnormal inputs
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| 119 | intxx100 tointegralx 1E-999 -> 0 Inexact Rounded
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| 120 | intxx101 tointegralx 0.1E-999 -> 0 Inexact Rounded
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| 121 | intxx102 tointegralx 0.01E-999 -> 0 Inexact Rounded
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| 122 | intxx103 tointegralx 0E-999 -> 0
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| 123 |
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| 124 | -- specials and zeros
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| 125 | intxx120 tointegralx 'Inf' -> Infinity
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| 126 | intxx121 tointegralx '-Inf' -> -Infinity
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| 127 | intxx122 tointegralx NaN -> NaN
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| 128 | intxx123 tointegralx sNaN -> NaN Invalid_operation
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| 129 | intxx124 tointegralx 0 -> 0
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| 130 | intxx125 tointegralx -0 -> -0
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| 131 | intxx126 tointegralx 0.000 -> 0
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| 132 | intxx127 tointegralx 0.00 -> 0
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| 133 | intxx128 tointegralx 0.0 -> 0
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| 134 | intxx129 tointegralx 0 -> 0
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| 135 | intxx130 tointegralx 0E-3 -> 0
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| 136 | intxx131 tointegralx 0E-2 -> 0
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| 137 | intxx132 tointegralx 0E-1 -> 0
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| 138 | intxx133 tointegralx 0E-0 -> 0
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| 139 | intxx134 tointegralx 0E+1 -> 0E+1
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| 140 | intxx135 tointegralx 0E+2 -> 0E+2
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| 141 | intxx136 tointegralx 0E+3 -> 0E+3
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| 142 | intxx137 tointegralx 0E+4 -> 0E+4
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| 143 | intxx138 tointegralx 0E+5 -> 0E+5
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| 144 | intxx139 tointegralx -0.000 -> -0
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| 145 | intxx140 tointegralx -0.00 -> -0
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| 146 | intxx141 tointegralx -0.0 -> -0
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| 147 | intxx142 tointegralx -0 -> -0
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| 148 | intxx143 tointegralx -0E-3 -> -0
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| 149 | intxx144 tointegralx -0E-2 -> -0
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| 150 | intxx145 tointegralx -0E-1 -> -0
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| 151 | intxx146 tointegralx -0E-0 -> -0
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| 152 | intxx147 tointegralx -0E+1 -> -0E+1
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| 153 | intxx148 tointegralx -0E+2 -> -0E+2
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| 154 | intxx149 tointegralx -0E+3 -> -0E+3
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| 155 | intxx150 tointegralx -0E+4 -> -0E+4
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| 156 | intxx151 tointegralx -0E+5 -> -0E+5
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| 157 | -- propagating NaNs
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| 158 | intxx152 tointegralx NaN808 -> NaN808
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| 159 | intxx153 tointegralx sNaN080 -> NaN80 Invalid_operation
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| 160 | intxx154 tointegralx -NaN808 -> -NaN808
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| 161 | intxx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation
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| 162 | intxx156 tointegralx -NaN -> -NaN
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| 163 | intxx157 tointegralx -sNaN -> -NaN Invalid_operation
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| 164 |
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| 165 | -- examples
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| 166 | rounding: half_up
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| 167 | precision: 9
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| 168 | intxx200 tointegralx 2.1 -> 2 Inexact Rounded
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| 169 | intxx201 tointegralx 100 -> 100
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| 170 | intxx202 tointegralx 100.0 -> 100 Rounded
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| 171 | intxx203 tointegralx 101.5 -> 102 Inexact Rounded
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| 172 | intxx204 tointegralx -101.5 -> -102 Inexact Rounded
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| 173 | intxx205 tointegralx 10E+5 -> 1.0E+6
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| 174 | intxx206 tointegralx 7.89E+77 -> 7.89E+77
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| 175 | intxx207 tointegralx -Inf -> -Infinity
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| 176 |
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| 177 |
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| 178 | -- all rounding modes
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| 179 | rounding: half_even
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| 180 |
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| 181 | intxx210 tointegralx 55.5 -> 56 Inexact Rounded
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| 182 | intxx211 tointegralx 56.5 -> 56 Inexact Rounded
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| 183 | intxx212 tointegralx 57.5 -> 58 Inexact Rounded
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| 184 | intxx213 tointegralx -55.5 -> -56 Inexact Rounded
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| 185 | intxx214 tointegralx -56.5 -> -56 Inexact Rounded
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| 186 | intxx215 tointegralx -57.5 -> -58 Inexact Rounded
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| 187 |
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| 188 | rounding: half_up
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| 189 |
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| 190 | intxx220 tointegralx 55.5 -> 56 Inexact Rounded
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| 191 | intxx221 tointegralx 56.5 -> 57 Inexact Rounded
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| 192 | intxx222 tointegralx 57.5 -> 58 Inexact Rounded
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| 193 | intxx223 tointegralx -55.5 -> -56 Inexact Rounded
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| 194 | intxx224 tointegralx -56.5 -> -57 Inexact Rounded
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| 195 | intxx225 tointegralx -57.5 -> -58 Inexact Rounded
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| 196 |
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| 197 | rounding: half_down
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| 198 |
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| 199 | intxx230 tointegralx 55.5 -> 55 Inexact Rounded
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| 200 | intxx231 tointegralx 56.5 -> 56 Inexact Rounded
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| 201 | intxx232 tointegralx 57.5 -> 57 Inexact Rounded
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| 202 | intxx233 tointegralx -55.5 -> -55 Inexact Rounded
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| 203 | intxx234 tointegralx -56.5 -> -56 Inexact Rounded
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| 204 | intxx235 tointegralx -57.5 -> -57 Inexact Rounded
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| 205 |
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| 206 | rounding: up
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| 207 |
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| 208 | intxx240 tointegralx 55.3 -> 56 Inexact Rounded
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| 209 | intxx241 tointegralx 56.3 -> 57 Inexact Rounded
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| 210 | intxx242 tointegralx 57.3 -> 58 Inexact Rounded
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| 211 | intxx243 tointegralx -55.3 -> -56 Inexact Rounded
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| 212 | intxx244 tointegralx -56.3 -> -57 Inexact Rounded
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| 213 | intxx245 tointegralx -57.3 -> -58 Inexact Rounded
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| 214 |
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| 215 | rounding: down
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| 216 |
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| 217 | intxx250 tointegralx 55.7 -> 55 Inexact Rounded
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| 218 | intxx251 tointegralx 56.7 -> 56 Inexact Rounded
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| 219 | intxx252 tointegralx 57.7 -> 57 Inexact Rounded
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| 220 | intxx253 tointegralx -55.7 -> -55 Inexact Rounded
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| 221 | intxx254 tointegralx -56.7 -> -56 Inexact Rounded
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| 222 | intxx255 tointegralx -57.7 -> -57 Inexact Rounded
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| 223 |
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| 224 | rounding: ceiling
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| 225 |
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| 226 | intxx260 tointegralx 55.3 -> 56 Inexact Rounded
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| 227 | intxx261 tointegralx 56.3 -> 57 Inexact Rounded
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| 228 | intxx262 tointegralx 57.3 -> 58 Inexact Rounded
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| 229 | intxx263 tointegralx -55.3 -> -55 Inexact Rounded
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| 230 | intxx264 tointegralx -56.3 -> -56 Inexact Rounded
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| 231 | intxx265 tointegralx -57.3 -> -57 Inexact Rounded
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| 232 |
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| 233 | rounding: floor
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| 234 |
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| 235 | intxx270 tointegralx 55.7 -> 55 Inexact Rounded
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| 236 | intxx271 tointegralx 56.7 -> 56 Inexact Rounded
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| 237 | intxx272 tointegralx 57.7 -> 57 Inexact Rounded
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| 238 | intxx273 tointegralx -55.7 -> -56 Inexact Rounded
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| 239 | intxx274 tointegralx -56.7 -> -57 Inexact Rounded
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| 240 | intxx275 tointegralx -57.7 -> -58 Inexact Rounded
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| 241 |
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| 242 | -- Int and uInt32 edge values for testing conversions
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| 243 | precision: 16
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| 244 | intxx300 tointegralx -2147483646 -> -2147483646
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| 245 | intxx301 tointegralx -2147483647 -> -2147483647
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| 246 | intxx302 tointegralx -2147483648 -> -2147483648
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| 247 | intxx303 tointegralx -2147483649 -> -2147483649
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| 248 | intxx304 tointegralx 2147483646 -> 2147483646
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| 249 | intxx305 tointegralx 2147483647 -> 2147483647
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| 250 | intxx306 tointegralx 2147483648 -> 2147483648
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| 251 | intxx307 tointegralx 2147483649 -> 2147483649
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| 252 | intxx308 tointegralx 4294967294 -> 4294967294
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| 253 | intxx309 tointegralx 4294967295 -> 4294967295
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| 254 | intxx310 tointegralx 4294967296 -> 4294967296
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| 255 | intxx311 tointegralx 4294967297 -> 4294967297
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