1 | ------------------------------------------------------------------------
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2 | -- dqScalebB.decTest -- scale a decQuad 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 | clamp: 1
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24 | precision: 34
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25 | maxExponent: 6144
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26 | minExponent: -6143
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27 | rounding: half_even
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28 |
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29 | -- Max |rhs| is 2*(6144+34) = 12356
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30 |
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31 | -- Sanity checks
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32 | dqscb001 scaleb 7.50 10 -> 7.50E+10
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33 | dqscb002 scaleb 7.50 3 -> 7.50E+3
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34 | dqscb003 scaleb 7.50 2 -> 750
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35 | dqscb004 scaleb 7.50 1 -> 75.0
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36 | dqscb005 scaleb 7.50 0 -> 7.50
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37 | dqscb006 scaleb 7.50 -1 -> 0.750
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38 | dqscb007 scaleb 7.50 -2 -> 0.0750
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39 | dqscb008 scaleb 7.50 -10 -> 7.50E-10
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40 | dqscb009 scaleb -7.50 3 -> -7.50E+3
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41 | dqscb010 scaleb -7.50 2 -> -750
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42 | dqscb011 scaleb -7.50 1 -> -75.0
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43 | dqscb012 scaleb -7.50 0 -> -7.50
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44 | dqscb013 scaleb -7.50 -1 -> -0.750
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45 |
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46 | -- Infinities
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47 | dqscb014 scaleb Infinity 1 -> Infinity
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48 | dqscb015 scaleb -Infinity 2 -> -Infinity
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49 | dqscb016 scaleb Infinity -1 -> Infinity
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50 | dqscb017 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 | dqscb018 scaleb 10 Infinity -> NaN Invalid_operation
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54 | dqscb019 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 | dqscb021 scaleb NaN 1 -> NaN
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59 | dqscb022 scaleb -NaN -1 -> -NaN
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60 | dqscb023 scaleb sNaN 1 -> NaN Invalid_operation
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61 | dqscb024 scaleb -sNaN 1 -> -NaN Invalid_operation
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62 | dqscb025 scaleb 4 NaN -> NaN
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63 | dqscb026 scaleb -Inf -NaN -> -NaN
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64 | dqscb027 scaleb 4 sNaN -> NaN Invalid_operation
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65 | dqscb028 scaleb Inf -sNaN -> -NaN Invalid_operation
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66 |
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67 | -- non-integer RHS
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68 | dqscb030 scaleb 1.23 1 -> 12.3
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69 | dqscb031 scaleb 1.23 1.00 -> NaN Invalid_operation
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70 | dqscb032 scaleb 1.23 1.1 -> NaN Invalid_operation
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71 | dqscb033 scaleb 1.23 1.01 -> NaN Invalid_operation
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72 | dqscb034 scaleb 1.23 0.01 -> NaN Invalid_operation
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73 | dqscb035 scaleb 1.23 0.11 -> NaN Invalid_operation
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74 | dqscb036 scaleb 1.23 0.999999999 -> NaN Invalid_operation
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75 | dqscb037 scaleb 1.23 -1 -> 0.123
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76 | dqscb0614 scaleb 1.23 -1.00 -> NaN Invalid_operation
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77 | dqscb039 scaleb 1.23 -1.1 -> NaN Invalid_operation
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78 | dqscb040 scaleb 1.23 -1.01 -> NaN Invalid_operation
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79 | dqscb041 scaleb 1.23 -0.01 -> NaN Invalid_operation
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80 | dqscb042 scaleb 1.23 -0.11 -> NaN Invalid_operation
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81 | dqscb043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation
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82 | dqscb044 scaleb 1.23 0.1 -> NaN Invalid_operation
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83 | dqscb045 scaleb 1.23 1E+1 -> NaN Invalid_operation
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84 | dqscb046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation
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85 | dqscb047 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 | dqscb120 scaleb 1.23 12355 -> Infinity Overflow Inexact Rounded
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89 | dqscb121 scaleb 1.23 12356 -> Infinity Overflow Inexact Rounded
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90 | dqscb122 scaleb 1.23 12357 -> NaN Invalid_operation
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91 | dqscb123 scaleb 1.23 12358 -> NaN Invalid_operation
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92 | dqscb124 scaleb 1.23 -12355 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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93 | dqscb125 scaleb 1.23 -12356 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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94 | dqscb126 scaleb 1.23 -12357 -> NaN Invalid_operation
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95 | dqscb127 scaleb 1.23 -12358 -> 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 | dqscb861 scaleb NaN01 -Inf -> NaN1
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100 | dqscb862 scaleb -NaN02 -1000 -> -NaN2
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101 | dqscb863 scaleb NaN03 1000 -> NaN3
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102 | dqscb864 scaleb NaN04 Inf -> NaN4
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103 | dqscb865 scaleb NaN05 NaN61 -> NaN5
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104 | dqscb866 scaleb -Inf -NaN71 -> -NaN71
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105 | dqscb867 scaleb -1000 NaN81 -> NaN81
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106 | dqscb868 scaleb 1000 NaN91 -> NaN91
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107 | dqscb869 scaleb Inf NaN101 -> NaN101
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108 | dqscb871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation
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109 | dqscb872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation
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110 | dqscb873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation
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111 | dqscb874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation
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112 | dqscb875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation
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113 | dqscb876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation
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114 | dqscb877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation
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115 | dqscb878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation
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116 | dqscb879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation
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117 | dqscb880 scaleb Inf sNaN231 -> NaN231 Invalid_operation
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118 | dqscb881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation
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119 |
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120 | -- finites
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121 | dqscb051 scaleb 7 -2 -> 0.07
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122 | dqscb052 scaleb -7 -2 -> -0.07
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123 | dqscb053 scaleb 75 -2 -> 0.75
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124 | dqscb054 scaleb -75 -2 -> -0.75
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125 | dqscb055 scaleb 7.50 -2 -> 0.0750
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126 | dqscb056 scaleb -7.50 -2 -> -0.0750
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127 | dqscb057 scaleb 7.500 -2 -> 0.07500
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128 | dqscb058 scaleb -7.500 -2 -> -0.07500
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129 | dqscb061 scaleb 7 -1 -> 0.7
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130 | dqscb062 scaleb -7 -1 -> -0.7
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131 | dqscb063 scaleb 75 -1 -> 7.5
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132 | dqscb064 scaleb -75 -1 -> -7.5
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133 | dqscb065 scaleb 7.50 -1 -> 0.750
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134 | dqscb066 scaleb -7.50 -1 -> -0.750
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135 | dqscb067 scaleb 7.500 -1 -> 0.7500
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136 | dqscb068 scaleb -7.500 -1 -> -0.7500
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137 | dqscb071 scaleb 7 0 -> 7
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138 | dqscb072 scaleb -7 0 -> -7
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139 | dqscb073 scaleb 75 0 -> 75
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140 | dqscb074 scaleb -75 0 -> -75
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141 | dqscb075 scaleb 7.50 0 -> 7.50
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142 | dqscb076 scaleb -7.50 0 -> -7.50
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143 | dqscb077 scaleb 7.500 0 -> 7.500
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144 | dqscb078 scaleb -7.500 0 -> -7.500
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145 | dqscb081 scaleb 7 1 -> 7E+1
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146 | dqscb082 scaleb -7 1 -> -7E+1
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147 | dqscb083 scaleb 75 1 -> 7.5E+2
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148 | dqscb084 scaleb -75 1 -> -7.5E+2
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149 | dqscb085 scaleb 7.50 1 -> 75.0
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150 | dqscb086 scaleb -7.50 1 -> -75.0
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151 | dqscb087 scaleb 7.500 1 -> 75.00
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152 | dqscb088 scaleb -7.500 1 -> -75.00
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153 | dqscb091 scaleb 7 2 -> 7E+2
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154 | dqscb092 scaleb -7 2 -> -7E+2
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155 | dqscb093 scaleb 75 2 -> 7.5E+3
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156 | dqscb094 scaleb -75 2 -> -7.5E+3
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157 | dqscb095 scaleb 7.50 2 -> 750
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158 | dqscb096 scaleb -7.50 2 -> -750
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159 | dqscb097 scaleb 7.500 2 -> 750.0
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160 | dqscb098 scaleb -7.500 2 -> -750.0
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161 |
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162 | -- zeros
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163 | dqscb111 scaleb 0 1 -> 0E+1
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164 | dqscb112 scaleb -0 2 -> -0E+2
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165 | dqscb113 scaleb 0E+4 3 -> 0E+7
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166 | dqscb114 scaleb -0E+4 4 -> -0E+8
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167 | dqscb115 scaleb 0.0000 5 -> 0E+1
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168 | dqscb116 scaleb -0.0000 6 -> -0E+2
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169 | dqscb117 scaleb 0E-141 7 -> 0E-134
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170 | dqscb118 scaleb -0E-141 8 -> -0E-133
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171 |
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172 | -- Nmax, Nmin, Ntiny
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173 | dqscb132 scaleb 9.999999999999999999999999999999999E+6144 +6144 -> Infinity Overflow Inexact Rounded
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174 | dqscb133 scaleb 9.999999999999999999999999999999999E+6144 +10 -> Infinity Overflow Inexact Rounded
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175 | dqscb134 scaleb 9.999999999999999999999999999999999E+6144 +1 -> Infinity Overflow Inexact Rounded
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176 | dqscb135 scaleb 9.999999999999999999999999999999999E+6144 0 -> 9.999999999999999999999999999999999E+6144
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177 | dqscb136 scaleb 9.999999999999999999999999999999999E+6144 -1 -> 9.999999999999999999999999999999999E+6143
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178 | dqscb137 scaleb 1E-6143 +1 -> 1E-6142
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179 | dqscb1614 scaleb 1E-6143 -0 -> 1E-6143
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180 | dqscb139 scaleb 1E-6143 -1 -> 1E-6144 Subnormal
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181 | dqscb140 scaleb 1.000000000000000000000000000000000E-6143 +1 -> 1.000000000000000000000000000000000E-6142
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182 | dqscb141 scaleb 1.000000000000000000000000000000000E-6143 0 -> 1.000000000000000000000000000000000E-6143
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183 | dqscb142 scaleb 1.000000000000000000000000000000000E-6143 -1 -> 1.00000000000000000000000000000000E-6144 Subnormal Rounded
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184 | dqscb143 scaleb 1E-6176 +1 -> 1E-6175 Subnormal
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185 | dqscb144 scaleb 1E-6176 -0 -> 1E-6176 Subnormal
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186 | dqscb145 scaleb 1E-6176 -1 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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187 |
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188 | dqscb150 scaleb -1E-6176 +1 -> -1E-6175 Subnormal
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189 | dqscb151 scaleb -1E-6176 -0 -> -1E-6176 Subnormal
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190 | dqscb152 scaleb -1E-6176 -1 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
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191 | dqscb153 scaleb -1.000000000000000000000000000000000E-6143 +1 -> -1.000000000000000000000000000000000E-6142
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192 | dqscb154 scaleb -1.000000000000000000000000000000000E-6143 +0 -> -1.000000000000000000000000000000000E-6143
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193 | dqscb155 scaleb -1.000000000000000000000000000000000E-6143 -1 -> -1.00000000000000000000000000000000E-6144 Subnormal Rounded
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194 | dqscb156 scaleb -1E-6143 +1 -> -1E-6142
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195 | dqscb157 scaleb -1E-6143 -0 -> -1E-6143
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196 | dqscb158 scaleb -1E-6143 -1 -> -1E-6144 Subnormal
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197 | dqscb159 scaleb -9.999999999999999999999999999999999E+6144 +1 -> -Infinity Overflow Inexact Rounded
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198 | dqscb160 scaleb -9.999999999999999999999999999999999E+6144 +0 -> -9.999999999999999999999999999999999E+6144
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199 | dqscb161 scaleb -9.999999999999999999999999999999999E+6144 -1 -> -9.999999999999999999999999999999999E+6143
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200 | dqscb162 scaleb -9E+6144 +1 -> -Infinity Overflow Inexact Rounded
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201 | dqscb163 scaleb -1E+6144 +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 | dqscb171 scaleb 1000E+6109 +1 -> 1.000E+6113
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206 | dqscb172 scaleb 1000E+6110 +1 -> 1.000E+6114
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207 | dqscb173 scaleb 1000E+6111 +1 -> 1.0000E+6115 Clamped
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208 | dqscb174 scaleb 1000E+6112 +1 -> 1.00000E+6116 Clamped
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209 | dqscb175 scaleb 1000E+6113 +1 -> 1.000000E+6117 Clamped
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210 | dqscb176 scaleb 1000E+6114 +1 -> 1.0000000E+6118 Clamped
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211 | dqscb177 scaleb 1000E+6131 +1 -> 1.000000000000000000000000E+6135 Clamped
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212 | dqscb178 scaleb 1000E+6132 +1 -> 1.0000000000000000000000000E+6136 Clamped
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213 | dqscb179 scaleb 1000E+6133 +1 -> 1.00000000000000000000000000E+6137 Clamped
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214 | dqscb180 scaleb 1000E+6134 +1 -> 1.000000000000000000000000000E+6138 Clamped
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215 | dqscb181 scaleb 1000E+6135 +1 -> 1.0000000000000000000000000000E+6139 Clamped
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216 | dqscb182 scaleb 1000E+6136 +1 -> 1.00000000000000000000000000000E+6140 Clamped
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217 | dqscb183 scaleb 1000E+6137 +1 -> 1.000000000000000000000000000000E+6141 Clamped
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218 | dqscb184 scaleb 1000E+6138 +1 -> 1.0000000000000000000000000000000E+6142 Clamped
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219 | dqscb185 scaleb 1000E+6139 +1 -> 1.00000000000000000000000000000000E+6143 Clamped
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220 | dqscb186 scaleb 1000E+6140 +1 -> 1.000000000000000000000000000000000E+6144 Clamped
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221 | dqscb187 scaleb 1000E+6141 +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 | dqscb221 scaleb 1.000000000000000000000000000000000E-6143 0 -> 1.000000000000000000000000000000000E-6143
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226 | dqscb222 scaleb 1.000000000000000000000000000000000E-6143 -1 -> 1.00000000000000000000000000000000E-6144 Subnormal Rounded
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227 | dqscb223 scaleb 1.000000000000000000000000000000000E-6143 -2 -> 1.0000000000000000000000000000000E-6145 Subnormal Rounded
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228 | dqscb224 scaleb 1.000000000000000000000000000000000E-6143 -3 -> 1.000000000000000000000000000000E-6146 Subnormal Rounded
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229 | dqscb225 scaleb 1.000000000000000000000000000000000E-6143 -4 -> 1.00000000000000000000000000000E-6147 Subnormal Rounded
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230 | dqscb226 scaleb 1.000000000000000000000000000000000E-6143 -5 -> 1.0000000000000000000000000000E-6148 Subnormal Rounded
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231 | dqscb227 scaleb 1.000000000000000000000000000000000E-6143 -6 -> 1.000000000000000000000000000E-6149 Subnormal Rounded
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232 | dqscb228 scaleb 1.000000000000000000000000000000000E-6143 -7 -> 1.00000000000000000000000000E-6150 Subnormal Rounded
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233 | dqscb229 scaleb 1.000000000000000000000000000000000E-6143 -8 -> 1.0000000000000000000000000E-6151 Subnormal Rounded
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234 | dqscb230 scaleb 1.000000000000000000000000000000000E-6143 -9 -> 1.000000000000000000000000E-6152 Subnormal Rounded
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235 | dqscb231 scaleb 1.000000000000000000000000000000000E-6143 -10 -> 1.00000000000000000000000E-6153 Subnormal Rounded
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236 | dqscb232 scaleb 1.000000000000000000000000000000000E-6143 -11 -> 1.0000000000000000000000E-6154 Subnormal Rounded
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237 | dqscb233 scaleb 1.000000000000000000000000000000000E-6143 -12 -> 1.000000000000000000000E-6155 Subnormal Rounded
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238 | dqscb234 scaleb 1.000000000000000000000000000000000E-6143 -13 -> 1.00000000000000000000E-6156 Subnormal Rounded
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239 | dqscb235 scaleb 1.000000000000000000000000000000000E-6143 -14 -> 1.0000000000000000000E-6157 Subnormal Rounded
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240 | dqscb236 scaleb 1.000000000000000000000000000000000E-6143 -15 -> 1.000000000000000000E-6158 Subnormal Rounded
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241 | dqscb237 scaleb 1.000000000000000000000000000000000E-6143 -16 -> 1.00000000000000000E-6159 Subnormal Rounded
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242 | dqscb238 scaleb 1.000000000000000000000000000000000E-6143 -17 -> 1.0000000000000000E-6160 Subnormal Rounded
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243 | dqscb239 scaleb 1.000000000000000000000000000000000E-6143 -18 -> 1.000000000000000E-6161 Subnormal Rounded
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244 | dqscb202 scaleb 1.000000000000000000000000000000000E-6143 -19 -> 1.00000000000000E-6162 Subnormal Rounded
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245 | dqscb203 scaleb 1.000000000000000000000000000000000E-6143 -20 -> 1.0000000000000E-6163 Subnormal Rounded
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246 | dqscb204 scaleb 1.000000000000000000000000000000000E-6143 -21 -> 1.000000000000E-6164 Subnormal Rounded
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247 | dqscb205 scaleb 1.000000000000000000000000000000000E-6143 -22 -> 1.00000000000E-6165 Subnormal Rounded
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248 | dqscb206 scaleb 1.000000000000000000000000000000000E-6143 -23 -> 1.0000000000E-6166 Subnormal Rounded
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249 | dqscb207 scaleb 1.000000000000000000000000000000000E-6143 -24 -> 1.000000000E-6167 Subnormal Rounded
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250 | dqscb208 scaleb 1.000000000000000000000000000000000E-6143 -25 -> 1.00000000E-6168 Subnormal Rounded
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251 | dqscb209 scaleb 1.000000000000000000000000000000000E-6143 -26 -> 1.0000000E-6169 Subnormal Rounded
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252 | dqscb210 scaleb 1.000000000000000000000000000000000E-6143 -27 -> 1.000000E-6170 Subnormal Rounded
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253 | dqscb211 scaleb 1.000000000000000000000000000000000E-6143 -28 -> 1.00000E-6171 Subnormal Rounded
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254 | dqscb212 scaleb 1.000000000000000000000000000000000E-6143 -29 -> 1.0000E-6172 Subnormal Rounded
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255 | dqscb213 scaleb 1.000000000000000000000000000000000E-6143 -30 -> 1.000E-6173 Subnormal Rounded
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256 | dqscb214 scaleb 1.000000000000000000000000000000000E-6143 -31 -> 1.00E-6174 Subnormal Rounded
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257 | dqscb215 scaleb 1.000000000000000000000000000000000E-6143 -32 -> 1.0E-6175 Subnormal Rounded
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258 | dqscb216 scaleb 1.000000000000000000000000000000000E-6143 -33 -> 1E-6176 Subnormal Rounded
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259 | dqscb217 scaleb 1.000000000000000000000000000000000E-6143 -34 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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260 | dqscb218 scaleb 1.000000000000000000000000000000000E-6143 -35 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
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