| 1 | ------------------------------------------------------------------------
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| 2 | -- scaleb.decTest -- scale a number by powers of 10 --
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| 3 | -- Copyright (c) IBM Corporation, 1981, 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 | extended: 1
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| 23 | precision: 9
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| 24 | rounding: half_up
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| 25 | maxExponent: 999
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| 26 | minExponent: -999
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| 27 |
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| 28 | -- Max |rhs| is 2*(999+9) = 2016
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| 29 |
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| 30 | -- Sanity checks
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| 31 | scbx001 scaleb 7.50 10 -> 7.50E+10
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| 32 | scbx002 scaleb 7.50 3 -> 7.50E+3
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| 33 | scbx003 scaleb 7.50 2 -> 750
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| 34 | scbx004 scaleb 7.50 1 -> 75.0
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| 35 | scbx005 scaleb 7.50 0 -> 7.50
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| 36 | scbx006 scaleb 7.50 -1 -> 0.750
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| 37 | scbx007 scaleb 7.50 -2 -> 0.0750
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| 38 | scbx008 scaleb 7.50 -10 -> 7.50E-10
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| 39 | scbx009 scaleb -7.50 3 -> -7.50E+3
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| 40 | scbx010 scaleb -7.50 2 -> -750
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| 41 | scbx011 scaleb -7.50 1 -> -75.0
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| 42 | scbx012 scaleb -7.50 0 -> -7.50
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| 43 | scbx013 scaleb -7.50 -1 -> -0.750
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| 44 |
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| 45 | -- Infinities
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| 46 | scbx014 scaleb Infinity 1 -> Infinity
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| 47 | scbx015 scaleb -Infinity 2 -> -Infinity
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| 48 | scbx016 scaleb Infinity -1 -> Infinity
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| 49 | scbx017 scaleb -Infinity -2 -> -Infinity
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| 50 |
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| 51 | -- Next two are somewhat undefined in 754r; treat as non-integer
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| 52 | scbx018 scaleb 10 Infinity -> NaN Invalid_operation
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| 53 | scbx019 scaleb 10 -Infinity -> NaN Invalid_operation
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| 54 |
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| 55 | -- NaNs are undefined in 754r; assume usual processing
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| 56 | -- NaNs, 0 payload
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| 57 | scbx021 scaleb NaN 1 -> NaN
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| 58 | scbx022 scaleb -NaN -1 -> -NaN
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| 59 | scbx023 scaleb sNaN 1 -> NaN Invalid_operation
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| 60 | scbx024 scaleb -sNaN 1 -> -NaN Invalid_operation
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| 61 | scbx025 scaleb 4 NaN -> NaN
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| 62 | scbx026 scaleb -Inf -NaN -> -NaN
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| 63 | scbx027 scaleb 4 sNaN -> NaN Invalid_operation
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| 64 | scbx028 scaleb Inf -sNaN -> -NaN Invalid_operation
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| 65 |
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| 66 | -- non-integer RHS
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| 67 | scbx030 scaleb 1.23 1 -> 12.3
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| 68 | scbx031 scaleb 1.23 1.00 -> NaN Invalid_operation
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| 69 | scbx032 scaleb 1.23 1.1 -> NaN Invalid_operation
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| 70 | scbx033 scaleb 1.23 1.01 -> NaN Invalid_operation
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| 71 | scbx034 scaleb 1.23 0.01 -> NaN Invalid_operation
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| 72 | scbx035 scaleb 1.23 0.11 -> NaN Invalid_operation
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| 73 | scbx036 scaleb 1.23 0.999999999 -> NaN Invalid_operation
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| 74 | scbx037 scaleb 1.23 -1 -> 0.123
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| 75 | scbx038 scaleb 1.23 -1.00 -> NaN Invalid_operation
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| 76 | scbx039 scaleb 1.23 -1.1 -> NaN Invalid_operation
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| 77 | scbx040 scaleb 1.23 -1.01 -> NaN Invalid_operation
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| 78 | scbx041 scaleb 1.23 -0.01 -> NaN Invalid_operation
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| 79 | scbx042 scaleb 1.23 -0.11 -> NaN Invalid_operation
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| 80 | scbx043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation
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| 81 | scbx044 scaleb 1.23 0.1 -> NaN Invalid_operation
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| 82 | scbx045 scaleb 1.23 1E+1 -> NaN Invalid_operation
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| 83 | scbx046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation
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| 84 | scbx047 scaleb 1.23 1.123E+4 -> NaN Invalid_operation
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| 85 |
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| 86 |
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| 87 | scbx120 scaleb 1.23 2015 -> Infinity Overflow Inexact Rounded
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| 88 | scbx121 scaleb 1.23 2016 -> Infinity Overflow Inexact Rounded
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| 89 | scbx122 scaleb 1.23 2017 -> NaN Invalid_operation
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| 90 | scbx123 scaleb 1.23 2018 -> NaN Invalid_operation
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| 91 | scbx124 scaleb 1.23 -2015 -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped
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| 92 | scbx125 scaleb 1.23 -2016 -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped
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| 93 | scbx126 scaleb 1.23 -2017 -> NaN Invalid_operation
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| 94 | scbx127 scaleb 1.23 -2018 -> NaN Invalid_operation
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| 95 |
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| 96 | -- NaNs, non-0 payload
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| 97 | -- propagating NaNs
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| 98 | scbx861 scaleb NaN01 -Inf -> NaN1
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| 99 | scbx862 scaleb -NaN02 -1000 -> -NaN2
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| 100 | scbx863 scaleb NaN03 1000 -> NaN3
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| 101 | scbx864 scaleb NaN04 Inf -> NaN4
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| 102 | scbx865 scaleb NaN05 NaN61 -> NaN5
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| 103 | scbx866 scaleb -Inf -NaN71 -> -NaN71
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| 104 | scbx867 scaleb -1000 NaN81 -> NaN81
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| 105 | scbx868 scaleb 1000 NaN91 -> NaN91
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| 106 | scbx869 scaleb Inf NaN101 -> NaN101
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| 107 | scbx871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation
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| 108 | scbx872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation
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| 109 | scbx873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation
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| 110 | scbx874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation
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| 111 | scbx875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation
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| 112 | scbx876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation
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| 113 | scbx877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation
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| 114 | scbx878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation
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| 115 | scbx879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation
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| 116 | scbx880 scaleb Inf sNaN231 -> NaN231 Invalid_operation
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| 117 | scbx881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation
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| 118 |
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| 119 | -- finites
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| 120 | scbx051 scaleb 7 -2 -> 0.07
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| 121 | scbx052 scaleb -7 -2 -> -0.07
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| 122 | scbx053 scaleb 75 -2 -> 0.75
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| 123 | scbx054 scaleb -75 -2 -> -0.75
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| 124 | scbx055 scaleb 7.50 -2 -> 0.0750
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| 125 | scbx056 scaleb -7.50 -2 -> -0.0750
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| 126 | scbx057 scaleb 7.500 -2 -> 0.07500
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| 127 | scbx058 scaleb -7.500 -2 -> -0.07500
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| 128 | scbx061 scaleb 7 -1 -> 0.7
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| 129 | scbx062 scaleb -7 -1 -> -0.7
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| 130 | scbx063 scaleb 75 -1 -> 7.5
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| 131 | scbx064 scaleb -75 -1 -> -7.5
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| 132 | scbx065 scaleb 7.50 -1 -> 0.750
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| 133 | scbx066 scaleb -7.50 -1 -> -0.750
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| 134 | scbx067 scaleb 7.500 -1 -> 0.7500
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| 135 | scbx068 scaleb -7.500 -1 -> -0.7500
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| 136 | scbx071 scaleb 7 0 -> 7
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| 137 | scbx072 scaleb -7 0 -> -7
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| 138 | scbx073 scaleb 75 0 -> 75
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| 139 | scbx074 scaleb -75 0 -> -75
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| 140 | scbx075 scaleb 7.50 0 -> 7.50
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| 141 | scbx076 scaleb -7.50 0 -> -7.50
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| 142 | scbx077 scaleb 7.500 0 -> 7.500
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| 143 | scbx078 scaleb -7.500 0 -> -7.500
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| 144 | scbx081 scaleb 7 1 -> 7E+1
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| 145 | scbx082 scaleb -7 1 -> -7E+1
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| 146 | scbx083 scaleb 75 1 -> 7.5E+2
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| 147 | scbx084 scaleb -75 1 -> -7.5E+2
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| 148 | scbx085 scaleb 7.50 1 -> 75.0
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| 149 | scbx086 scaleb -7.50 1 -> -75.0
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| 150 | scbx087 scaleb 7.500 1 -> 75.00
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| 151 | scbx088 scaleb -7.500 1 -> -75.00
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| 152 | scbx091 scaleb 7 2 -> 7E+2
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| 153 | scbx092 scaleb -7 2 -> -7E+2
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| 154 | scbx093 scaleb 75 2 -> 7.5E+3
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| 155 | scbx094 scaleb -75 2 -> -7.5E+3
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| 156 | scbx095 scaleb 7.50 2 -> 750
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| 157 | scbx096 scaleb -7.50 2 -> -750
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| 158 | scbx097 scaleb 7.500 2 -> 750.0
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| 159 | scbx098 scaleb -7.500 2 -> -750.0
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| 160 |
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| 161 | -- zeros
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| 162 | scbx111 scaleb 0 1 -> 0E+1
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| 163 | scbx112 scaleb -0 2 -> -0E+2
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| 164 | scbx113 scaleb 0E+4 3 -> 0E+7
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| 165 | scbx114 scaleb -0E+4 4 -> -0E+8
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| 166 | scbx115 scaleb 0.0000 5 -> 0E+1
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| 167 | scbx116 scaleb -0.0000 6 -> -0E+2
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| 168 | scbx117 scaleb 0E-141 7 -> 0E-134
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| 169 | scbx118 scaleb -0E-141 8 -> -0E-133
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| 170 |
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| 171 | -- Nmax, Nmin, Ntiny
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| 172 | scbx132 scaleb 9.99999999E+999 +999 -> Infinity Overflow Inexact Rounded
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| 173 | scbx133 scaleb 9.99999999E+999 +10 -> Infinity Overflow Inexact Rounded
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| 174 | scbx134 scaleb 9.99999999E+999 +1 -> Infinity Overflow Inexact Rounded
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| 175 | scbx135 scaleb 9.99999999E+999 0 -> 9.99999999E+999
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| 176 | scbx136 scaleb 9.99999999E+999 -1 -> 9.99999999E+998
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| 177 | scbx137 scaleb 1E-999 +1 -> 1E-998
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| 178 | scbx138 scaleb 1E-999 -0 -> 1E-999
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| 179 | scbx139 scaleb 1E-999 -1 -> 1E-1000 Subnormal
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| 180 | scbx140 scaleb 1.00000000E-999 +1 -> 1.00000000E-998
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| 181 | scbx141 scaleb 1.00000000E-999 0 -> 1.00000000E-999
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| 182 | scbx142 scaleb 1.00000000E-999 -1 -> 1.0000000E-1000 Subnormal Rounded
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| 183 | scbx143 scaleb 1E-1007 +1 -> 1E-1006 Subnormal
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| 184 | scbx144 scaleb 1E-1007 -0 -> 1E-1007 Subnormal
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| 185 | scbx145 scaleb 1E-1007 -1 -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped
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| 186 |
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| 187 | scbx150 scaleb -1E-1007 +1 -> -1E-1006 Subnormal
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| 188 | scbx151 scaleb -1E-1007 -0 -> -1E-1007 Subnormal
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| 189 | scbx152 scaleb -1E-1007 -1 -> -0E-1007 Underflow Subnormal Inexact Rounded Clamped
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| 190 | scbx153 scaleb -1.00000000E-999 +1 -> -1.00000000E-998
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| 191 | scbx154 scaleb -1.00000000E-999 +0 -> -1.00000000E-999
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| 192 | scbx155 scaleb -1.00000000E-999 -1 -> -1.0000000E-1000 Subnormal Rounded
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| 193 | scbx156 scaleb -1E-999 +1 -> -1E-998
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| 194 | scbx157 scaleb -1E-999 -0 -> -1E-999
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| 195 | scbx158 scaleb -1E-999 -1 -> -1E-1000 Subnormal
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| 196 | scbx159 scaleb -9.99999999E+999 +1 -> -Infinity Overflow Inexact Rounded
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| 197 | scbx160 scaleb -9.99999999E+999 +0 -> -9.99999999E+999
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| 198 | scbx161 scaleb -9.99999999E+999 -1 -> -9.99999999E+998
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| 199 | scbx162 scaleb -9E+999 +1 -> -Infinity Overflow Inexact Rounded
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| 200 | scbx163 scaleb -1E+999 +1 -> -Infinity Overflow Inexact Rounded
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| 201 |
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| 202 | -- Krah examples
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| 203 | precision: 34
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| 204 | maxExponent: 999999999
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| 205 | minExponent: -999999999
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| 206 | -- integer overflow in 3.61 or earlier
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| 207 | scbx164 scaleb 1E-999999999 -1200000000 -> NaN Invalid_operation
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| 208 | -- out of range
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| 209 | scbx165 scaleb -1E-999999999 +1200000000 -> NaN Invalid_operation
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