Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 1 | ------------------------------------------------------------------------
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| 2 | -- ddScalebB.decTest -- scale a decDouble by powers of 10 --
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Benjamin Peterson | f17ff4e | 2008-07-31 16:32:12 +0000 | [diff] [blame] | 3 | -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 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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Mark Dickinson | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 20 | version: 2.59
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Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 21 |
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| 22 | precision: 16
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| 23 | maxExponent: 384
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| 24 | minExponent: -383
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| 25 | extended: 1
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| 26 | clamp: 1
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| 27 | rounding: half_even
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| 28 |
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| 29 | -- Max |rhs| is 2*(384+16) = 800
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| 30 |
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| 31 | -- Sanity checks
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| 32 | ddscb001 scaleb 7.50 10 -> 7.50E+10
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| 33 | ddscb002 scaleb 7.50 3 -> 7.50E+3
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| 34 | ddscb003 scaleb 7.50 2 -> 750
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| 35 | ddscb004 scaleb 7.50 1 -> 75.0
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| 36 | ddscb005 scaleb 7.50 0 -> 7.50
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| 37 | ddscb006 scaleb 7.50 -1 -> 0.750
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| 38 | ddscb007 scaleb 7.50 -2 -> 0.0750
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| 39 | ddscb008 scaleb 7.50 -10 -> 7.50E-10
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| 40 | ddscb009 scaleb -7.50 3 -> -7.50E+3
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| 41 | ddscb010 scaleb -7.50 2 -> -750
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| 42 | ddscb011 scaleb -7.50 1 -> -75.0
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| 43 | ddscb012 scaleb -7.50 0 -> -7.50
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| 44 | ddscb013 scaleb -7.50 -1 -> -0.750
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| 45 |
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| 46 | -- Infinities
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| 47 | ddscb014 scaleb Infinity 1 -> Infinity
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| 48 | ddscb015 scaleb -Infinity 2 -> -Infinity
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| 49 | ddscb016 scaleb Infinity -1 -> Infinity
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| 50 | ddscb017 scaleb -Infinity -2 -> -Infinity
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| 51 |
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| 52 | -- Next two are somewhat undefined in 754r; treat as non-integer
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| 53 | ddscb018 scaleb 10 Infinity -> NaN Invalid_operation
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| 54 | ddscb019 scaleb 10 -Infinity -> NaN Invalid_operation
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| 55 |
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| 56 | -- NaNs are undefined in 754r; assume usual processing
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| 57 | -- NaNs, 0 payload
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| 58 | ddscb021 scaleb NaN 1 -> NaN
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| 59 | ddscb022 scaleb -NaN -1 -> -NaN
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| 60 | ddscb023 scaleb sNaN 1 -> NaN Invalid_operation
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| 61 | ddscb024 scaleb -sNaN 1 -> -NaN Invalid_operation
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| 62 | ddscb025 scaleb 4 NaN -> NaN
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| 63 | ddscb026 scaleb -Inf -NaN -> -NaN
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| 64 | ddscb027 scaleb 4 sNaN -> NaN Invalid_operation
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| 65 | ddscb028 scaleb Inf -sNaN -> -NaN Invalid_operation
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| 66 |
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| 67 | -- non-integer RHS
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| 68 | ddscb030 scaleb 1.23 1 -> 12.3
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| 69 | ddscb031 scaleb 1.23 1.00 -> NaN Invalid_operation
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| 70 | ddscb032 scaleb 1.23 1.1 -> NaN Invalid_operation
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| 71 | ddscb033 scaleb 1.23 1.01 -> NaN Invalid_operation
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| 72 | ddscb034 scaleb 1.23 0.01 -> NaN Invalid_operation
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| 73 | ddscb035 scaleb 1.23 0.11 -> NaN Invalid_operation
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| 74 | ddscb036 scaleb 1.23 0.999999999 -> NaN Invalid_operation
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| 75 | ddscb037 scaleb 1.23 -1 -> 0.123
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| 76 | ddscb038 scaleb 1.23 -1.00 -> NaN Invalid_operation
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| 77 | ddscb039 scaleb 1.23 -1.1 -> NaN Invalid_operation
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| 78 | ddscb040 scaleb 1.23 -1.01 -> NaN Invalid_operation
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| 79 | ddscb041 scaleb 1.23 -0.01 -> NaN Invalid_operation
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| 80 | ddscb042 scaleb 1.23 -0.11 -> NaN Invalid_operation
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| 81 | ddscb043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation
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| 82 | ddscb044 scaleb 1.23 0.1 -> NaN Invalid_operation
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| 83 | ddscb045 scaleb 1.23 1E+1 -> NaN Invalid_operation
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| 84 | ddscb046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation
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| 85 | ddscb047 scaleb 1.23 1.123E+4 -> NaN Invalid_operation
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| 86 |
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| 87 | -- out-of range RHS
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| 88 | ddscb120 scaleb 1.23 799 -> Infinity Overflow Inexact Rounded
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| 89 | ddscb121 scaleb 1.23 800 -> Infinity Overflow Inexact Rounded
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| 90 | ddscb122 scaleb 1.23 801 -> NaN Invalid_operation
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| 91 | ddscb123 scaleb 1.23 802 -> NaN Invalid_operation
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| 92 | ddscb124 scaleb 1.23 -799 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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| 93 | ddscb125 scaleb 1.23 -800 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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| 94 | ddscb126 scaleb 1.23 -801 -> NaN Invalid_operation
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| 95 | ddscb127 scaleb 1.23 -802 -> NaN Invalid_operation
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| 96 |
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| 97 | -- NaNs, non-0 payload
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| 98 | -- propagating NaNs
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| 99 | ddscb861 scaleb NaN01 -Inf -> NaN1
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| 100 | ddscb862 scaleb -NaN02 -1000 -> -NaN2
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| 101 | ddscb863 scaleb NaN03 1000 -> NaN3
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| 102 | ddscb864 scaleb NaN04 Inf -> NaN4
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| 103 | ddscb865 scaleb NaN05 NaN61 -> NaN5
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| 104 | ddscb866 scaleb -Inf -NaN71 -> -NaN71
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| 105 | ddscb867 scaleb -1000 NaN81 -> NaN81
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| 106 | ddscb868 scaleb 1000 NaN91 -> NaN91
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| 107 | ddscb869 scaleb Inf NaN101 -> NaN101
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| 108 | ddscb871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation
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| 109 | ddscb872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation
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| 110 | ddscb873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation
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| 111 | ddscb874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation
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| 112 | ddscb875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation
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| 113 | ddscb876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation
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| 114 | ddscb877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation
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| 115 | ddscb878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation
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| 116 | ddscb879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation
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| 117 | ddscb880 scaleb Inf sNaN231 -> NaN231 Invalid_operation
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| 118 | ddscb881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation
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| 119 |
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| 120 | -- finites
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| 121 | ddscb051 scaleb 7 -2 -> 0.07
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| 122 | ddscb052 scaleb -7 -2 -> -0.07
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| 123 | ddscb053 scaleb 75 -2 -> 0.75
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| 124 | ddscb054 scaleb -75 -2 -> -0.75
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| 125 | ddscb055 scaleb 7.50 -2 -> 0.0750
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| 126 | ddscb056 scaleb -7.50 -2 -> -0.0750
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| 127 | ddscb057 scaleb 7.500 -2 -> 0.07500
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| 128 | ddscb058 scaleb -7.500 -2 -> -0.07500
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| 129 | ddscb061 scaleb 7 -1 -> 0.7
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| 130 | ddscb062 scaleb -7 -1 -> -0.7
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| 131 | ddscb063 scaleb 75 -1 -> 7.5
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| 132 | ddscb064 scaleb -75 -1 -> -7.5
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| 133 | ddscb065 scaleb 7.50 -1 -> 0.750
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| 134 | ddscb066 scaleb -7.50 -1 -> -0.750
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| 135 | ddscb067 scaleb 7.500 -1 -> 0.7500
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| 136 | ddscb068 scaleb -7.500 -1 -> -0.7500
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| 137 | ddscb071 scaleb 7 0 -> 7
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| 138 | ddscb072 scaleb -7 0 -> -7
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| 139 | ddscb073 scaleb 75 0 -> 75
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| 140 | ddscb074 scaleb -75 0 -> -75
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| 141 | ddscb075 scaleb 7.50 0 -> 7.50
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| 142 | ddscb076 scaleb -7.50 0 -> -7.50
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| 143 | ddscb077 scaleb 7.500 0 -> 7.500
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| 144 | ddscb078 scaleb -7.500 0 -> -7.500
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| 145 | ddscb081 scaleb 7 1 -> 7E+1
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| 146 | ddscb082 scaleb -7 1 -> -7E+1
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| 147 | ddscb083 scaleb 75 1 -> 7.5E+2
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| 148 | ddscb084 scaleb -75 1 -> -7.5E+2
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| 149 | ddscb085 scaleb 7.50 1 -> 75.0
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| 150 | ddscb086 scaleb -7.50 1 -> -75.0
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| 151 | ddscb087 scaleb 7.500 1 -> 75.00
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| 152 | ddscb088 scaleb -7.500 1 -> -75.00
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| 153 | ddscb091 scaleb 7 2 -> 7E+2
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| 154 | ddscb092 scaleb -7 2 -> -7E+2
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| 155 | ddscb093 scaleb 75 2 -> 7.5E+3
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| 156 | ddscb094 scaleb -75 2 -> -7.5E+3
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| 157 | ddscb095 scaleb 7.50 2 -> 750
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| 158 | ddscb096 scaleb -7.50 2 -> -750
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| 159 | ddscb097 scaleb 7.500 2 -> 750.0
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| 160 | ddscb098 scaleb -7.500 2 -> -750.0
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| 161 |
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| 162 | -- zeros
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| 163 | ddscb111 scaleb 0 1 -> 0E+1
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| 164 | ddscb112 scaleb -0 2 -> -0E+2
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| 165 | ddscb113 scaleb 0E+4 3 -> 0E+7
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| 166 | ddscb114 scaleb -0E+4 4 -> -0E+8
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| 167 | ddscb115 scaleb 0.0000 5 -> 0E+1
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| 168 | ddscb116 scaleb -0.0000 6 -> -0E+2
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| 169 | ddscb117 scaleb 0E-141 7 -> 0E-134
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| 170 | ddscb118 scaleb -0E-141 8 -> -0E-133
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| 171 |
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| 172 | -- Nmax, Nmin, Ntiny
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| 173 | ddscb132 scaleb 9.999999999999999E+384 +384 -> Infinity Overflow Inexact Rounded
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| 174 | ddscb133 scaleb 9.999999999999999E+384 +10 -> Infinity Overflow Inexact Rounded
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| 175 | ddscb134 scaleb 9.999999999999999E+384 +1 -> Infinity Overflow Inexact Rounded
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| 176 | ddscb135 scaleb 9.999999999999999E+384 0 -> 9.999999999999999E+384
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| 177 | ddscb136 scaleb 9.999999999999999E+384 -1 -> 9.999999999999999E+383
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| 178 | ddscb137 scaleb 1E-383 +1 -> 1E-382
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| 179 | ddscb138 scaleb 1E-383 -0 -> 1E-383
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| 180 | ddscb139 scaleb 1E-383 -1 -> 1E-384 Subnormal
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| 181 | ddscb140 scaleb 1.000000000000000E-383 +1 -> 1.000000000000000E-382
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| 182 | ddscb141 scaleb 1.000000000000000E-383 0 -> 1.000000000000000E-383
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| 183 | ddscb142 scaleb 1.000000000000000E-383 -1 -> 1.00000000000000E-384 Subnormal Rounded
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| 184 | ddscb143 scaleb 1E-398 +1 -> 1E-397 Subnormal
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| 185 | ddscb144 scaleb 1E-398 -0 -> 1E-398 Subnormal
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| 186 | ddscb145 scaleb 1E-398 -1 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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| 187 |
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| 188 | ddscb150 scaleb -1E-398 +1 -> -1E-397 Subnormal
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| 189 | ddscb151 scaleb -1E-398 -0 -> -1E-398 Subnormal
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| 190 | ddscb152 scaleb -1E-398 -1 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
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| 191 | ddscb153 scaleb -1.000000000000000E-383 +1 -> -1.000000000000000E-382
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| 192 | ddscb154 scaleb -1.000000000000000E-383 +0 -> -1.000000000000000E-383
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| 193 | ddscb155 scaleb -1.000000000000000E-383 -1 -> -1.00000000000000E-384 Subnormal Rounded
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| 194 | ddscb156 scaleb -1E-383 +1 -> -1E-382
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| 195 | ddscb157 scaleb -1E-383 -0 -> -1E-383
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| 196 | ddscb158 scaleb -1E-383 -1 -> -1E-384 Subnormal
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| 197 | ddscb159 scaleb -9.999999999999999E+384 +1 -> -Infinity Overflow Inexact Rounded
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| 198 | ddscb160 scaleb -9.999999999999999E+384 +0 -> -9.999999999999999E+384
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| 199 | ddscb161 scaleb -9.999999999999999E+384 -1 -> -9.999999999999999E+383
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| 200 | ddscb162 scaleb -9E+384 +1 -> -Infinity Overflow Inexact Rounded
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| 201 | ddscb163 scaleb -1E+384 +1 -> -Infinity Overflow Inexact Rounded
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| 202 |
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| 203 | -- some Origami
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| 204 | -- (these check that overflow is being done correctly)
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| 205 | ddscb171 scaleb 1000E+365 +1 -> 1.000E+369
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| 206 | ddscb172 scaleb 1000E+366 +1 -> 1.000E+370
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| 207 | ddscb173 scaleb 1000E+367 +1 -> 1.000E+371
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| 208 | ddscb174 scaleb 1000E+368 +1 -> 1.000E+372
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| 209 | ddscb175 scaleb 1000E+369 +1 -> 1.0000E+373 Clamped
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| 210 | ddscb176 scaleb 1000E+370 +1 -> 1.00000E+374 Clamped
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| 211 | ddscb177 scaleb 1000E+371 +1 -> 1.000000E+375 Clamped
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| 212 | ddscb178 scaleb 1000E+372 +1 -> 1.0000000E+376 Clamped
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| 213 | ddscb179 scaleb 1000E+373 +1 -> 1.00000000E+377 Clamped
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| 214 | ddscb180 scaleb 1000E+374 +1 -> 1.000000000E+378 Clamped
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| 215 | ddscb181 scaleb 1000E+375 +1 -> 1.0000000000E+379 Clamped
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| 216 | ddscb182 scaleb 1000E+376 +1 -> 1.00000000000E+380 Clamped
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| 217 | ddscb183 scaleb 1000E+377 +1 -> 1.000000000000E+381 Clamped
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| 218 | ddscb184 scaleb 1000E+378 +1 -> 1.0000000000000E+382 Clamped
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| 219 | ddscb185 scaleb 1000E+379 +1 -> 1.00000000000000E+383 Clamped
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| 220 | ddscb186 scaleb 1000E+380 +1 -> 1.000000000000000E+384 Clamped
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| 221 | ddscb187 scaleb 1000E+381 +1 -> Infinity Overflow Inexact Rounded
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| 222 |
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| 223 | -- and a few more subnormal truncations
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| 224 | -- (these check that underflow is being done correctly)
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| 225 | ddscb201 scaleb 1.000000000000000E-383 0 -> 1.000000000000000E-383
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| 226 | ddscb202 scaleb 1.000000000000000E-383 -1 -> 1.00000000000000E-384 Subnormal Rounded
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| 227 | ddscb203 scaleb 1.000000000000000E-383 -2 -> 1.0000000000000E-385 Subnormal Rounded
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| 228 | ddscb204 scaleb 1.000000000000000E-383 -3 -> 1.000000000000E-386 Subnormal Rounded
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| 229 | ddscb205 scaleb 1.000000000000000E-383 -4 -> 1.00000000000E-387 Subnormal Rounded
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| 230 | ddscb206 scaleb 1.000000000000000E-383 -5 -> 1.0000000000E-388 Subnormal Rounded
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| 231 | ddscb207 scaleb 1.000000000000000E-383 -6 -> 1.000000000E-389 Subnormal Rounded
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| 232 | ddscb208 scaleb 1.000000000000000E-383 -7 -> 1.00000000E-390 Subnormal Rounded
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| 233 | ddscb209 scaleb 1.000000000000000E-383 -8 -> 1.0000000E-391 Subnormal Rounded
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| 234 | ddscb210 scaleb 1.000000000000000E-383 -9 -> 1.000000E-392 Subnormal Rounded
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| 235 | ddscb211 scaleb 1.000000000000000E-383 -10 -> 1.00000E-393 Subnormal Rounded
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| 236 | ddscb212 scaleb 1.000000000000000E-383 -11 -> 1.0000E-394 Subnormal Rounded
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| 237 | ddscb213 scaleb 1.000000000000000E-383 -12 -> 1.000E-395 Subnormal Rounded
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| 238 | ddscb214 scaleb 1.000000000000000E-383 -13 -> 1.00E-396 Subnormal Rounded
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| 239 | ddscb215 scaleb 1.000000000000000E-383 -14 -> 1.0E-397 Subnormal Rounded
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| 240 | ddscb216 scaleb 1.000000000000000E-383 -15 -> 1E-398 Subnormal Rounded
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| 241 | ddscb217 scaleb 1.000000000000000E-383 -16 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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| 242 | ddscb218 scaleb 1.000000000000000E-383 -17 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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