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1 ------------------------------------------------------------------------ |
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2 -- ddMaxMag.decTest -- decDouble maxnummag -- |
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3 -- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.57 |
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21 |
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22 -- we assume that base comparison is tested in compare.decTest, so |
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23 -- these mainly cover special cases and rounding |
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24 precision: 16 |
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25 maxExponent: 384 |
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26 minExponent: -383 |
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27 extended: 1 |
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28 clamp: 1 |
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29 rounding: half_even |
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30 |
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31 -- sanity checks |
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32 ddmxg001 maxmag -2 -2 -> -2 |
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33 ddmxg002 maxmag -2 -1 -> -2 |
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34 ddmxg003 maxmag -2 0 -> -2 |
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35 ddmxg004 maxmag -2 1 -> -2 |
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36 ddmxg005 maxmag -2 2 -> 2 |
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37 ddmxg006 maxmag -1 -2 -> -2 |
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38 ddmxg007 maxmag -1 -1 -> -1 |
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39 ddmxg008 maxmag -1 0 -> -1 |
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40 ddmxg009 maxmag -1 1 -> 1 |
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41 ddmxg010 maxmag -1 2 -> 2 |
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42 ddmxg011 maxmag 0 -2 -> -2 |
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43 ddmxg012 maxmag 0 -1 -> -1 |
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44 ddmxg013 maxmag 0 0 -> 0 |
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45 ddmxg014 maxmag 0 1 -> 1 |
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46 ddmxg015 maxmag 0 2 -> 2 |
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47 ddmxg016 maxmag 1 -2 -> -2 |
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48 ddmxg017 maxmag 1 -1 -> 1 |
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49 ddmxg018 maxmag 1 0 -> 1 |
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50 ddmxg019 maxmag 1 1 -> 1 |
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51 ddmxg020 maxmag 1 2 -> 2 |
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52 ddmxg021 maxmag 2 -2 -> 2 |
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53 ddmxg022 maxmag 2 -1 -> 2 |
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54 ddmxg023 maxmag 2 0 -> 2 |
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55 ddmxg025 maxmag 2 1 -> 2 |
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56 ddmxg026 maxmag 2 2 -> 2 |
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57 |
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58 -- extended zeros |
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59 ddmxg030 maxmag 0 0 -> 0 |
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60 ddmxg031 maxmag 0 -0 -> 0 |
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61 ddmxg032 maxmag 0 -0.0 -> 0 |
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62 ddmxg033 maxmag 0 0.0 -> 0 |
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63 ddmxg034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen |
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64 ddmxg035 maxmag -0 -0 -> -0 |
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65 ddmxg036 maxmag -0 -0.0 -> -0.0 |
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66 ddmxg037 maxmag -0 0.0 -> 0.0 |
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67 ddmxg038 maxmag 0.0 0 -> 0 |
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68 ddmxg039 maxmag 0.0 -0 -> 0.0 |
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69 ddmxg040 maxmag 0.0 -0.0 -> 0.0 |
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70 ddmxg041 maxmag 0.0 0.0 -> 0.0 |
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71 ddmxg042 maxmag -0.0 0 -> 0 |
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72 ddmxg043 maxmag -0.0 -0 -> -0.0 |
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73 ddmxg044 maxmag -0.0 -0.0 -> -0.0 |
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74 ddmxg045 maxmag -0.0 0.0 -> 0.0 |
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75 |
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76 ddmxg050 maxmag -0E1 0E1 -> 0E+1 |
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77 ddmxg051 maxmag -0E2 0E2 -> 0E+2 |
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78 ddmxg052 maxmag -0E2 0E1 -> 0E+1 |
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79 ddmxg053 maxmag -0E1 0E2 -> 0E+2 |
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80 ddmxg054 maxmag 0E1 -0E1 -> 0E+1 |
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81 ddmxg055 maxmag 0E2 -0E2 -> 0E+2 |
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82 ddmxg056 maxmag 0E2 -0E1 -> 0E+2 |
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83 ddmxg057 maxmag 0E1 -0E2 -> 0E+1 |
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84 |
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85 ddmxg058 maxmag 0E1 0E1 -> 0E+1 |
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86 ddmxg059 maxmag 0E2 0E2 -> 0E+2 |
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87 ddmxg060 maxmag 0E2 0E1 -> 0E+2 |
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88 ddmxg061 maxmag 0E1 0E2 -> 0E+2 |
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89 ddmxg062 maxmag -0E1 -0E1 -> -0E+1 |
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90 ddmxg063 maxmag -0E2 -0E2 -> -0E+2 |
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91 ddmxg064 maxmag -0E2 -0E1 -> -0E+1 |
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92 ddmxg065 maxmag -0E1 -0E2 -> -0E+1 |
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93 |
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94 -- Specials |
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95 ddmxg090 maxmag Inf -Inf -> Infinity |
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96 ddmxg091 maxmag Inf -1000 -> Infinity |
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97 ddmxg092 maxmag Inf -1 -> Infinity |
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98 ddmxg093 maxmag Inf -0 -> Infinity |
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99 ddmxg094 maxmag Inf 0 -> Infinity |
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100 ddmxg095 maxmag Inf 1 -> Infinity |
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101 ddmxg096 maxmag Inf 1000 -> Infinity |
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102 ddmxg097 maxmag Inf Inf -> Infinity |
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103 ddmxg098 maxmag -1000 Inf -> Infinity |
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104 ddmxg099 maxmag -Inf Inf -> Infinity |
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105 ddmxg100 maxmag -1 Inf -> Infinity |
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106 ddmxg101 maxmag -0 Inf -> Infinity |
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107 ddmxg102 maxmag 0 Inf -> Infinity |
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108 ddmxg103 maxmag 1 Inf -> Infinity |
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109 ddmxg104 maxmag 1000 Inf -> Infinity |
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110 ddmxg105 maxmag Inf Inf -> Infinity |
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111 |
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112 ddmxg120 maxmag -Inf -Inf -> -Infinity |
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113 ddmxg121 maxmag -Inf -1000 -> -Infinity |
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114 ddmxg122 maxmag -Inf -1 -> -Infinity |
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115 ddmxg123 maxmag -Inf -0 -> -Infinity |
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116 ddmxg124 maxmag -Inf 0 -> -Infinity |
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117 ddmxg125 maxmag -Inf 1 -> -Infinity |
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118 ddmxg126 maxmag -Inf 1000 -> -Infinity |
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119 ddmxg127 maxmag -Inf Inf -> Infinity |
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120 ddmxg128 maxmag -Inf -Inf -> -Infinity |
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121 ddmxg129 maxmag -1000 -Inf -> -Infinity |
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122 ddmxg130 maxmag -1 -Inf -> -Infinity |
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123 ddmxg131 maxmag -0 -Inf -> -Infinity |
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124 ddmxg132 maxmag 0 -Inf -> -Infinity |
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125 ddmxg133 maxmag 1 -Inf -> -Infinity |
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126 ddmxg134 maxmag 1000 -Inf -> -Infinity |
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127 ddmxg135 maxmag Inf -Inf -> Infinity |
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128 |
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129 -- 2004.08.02 754r chooses number over NaN in mixed cases |
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130 ddmxg141 maxmag NaN -Inf -> -Infinity |
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131 ddmxg142 maxmag NaN -1000 -> -1000 |
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132 ddmxg143 maxmag NaN -1 -> -1 |
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133 ddmxg144 maxmag NaN -0 -> -0 |
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134 ddmxg145 maxmag NaN 0 -> 0 |
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135 ddmxg146 maxmag NaN 1 -> 1 |
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136 ddmxg147 maxmag NaN 1000 -> 1000 |
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137 ddmxg148 maxmag NaN Inf -> Infinity |
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138 ddmxg149 maxmag NaN NaN -> NaN |
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139 ddmxg150 maxmag -Inf NaN -> -Infinity |
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140 ddmxg151 maxmag -1000 NaN -> -1000 |
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141 ddmxg152 maxmag -1 NaN -> -1 |
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142 ddmxg153 maxmag -0 NaN -> -0 |
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143 ddmxg154 maxmag 0 NaN -> 0 |
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144 ddmxg155 maxmag 1 NaN -> 1 |
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145 ddmxg156 maxmag 1000 NaN -> 1000 |
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146 ddmxg157 maxmag Inf NaN -> Infinity |
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147 |
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148 ddmxg161 maxmag sNaN -Inf -> NaN Invalid_operation |
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149 ddmxg162 maxmag sNaN -1000 -> NaN Invalid_operation |
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150 ddmxg163 maxmag sNaN -1 -> NaN Invalid_operation |
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151 ddmxg164 maxmag sNaN -0 -> NaN Invalid_operation |
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152 ddmxg165 maxmag sNaN 0 -> NaN Invalid_operation |
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153 ddmxg166 maxmag sNaN 1 -> NaN Invalid_operation |
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154 ddmxg167 maxmag sNaN 1000 -> NaN Invalid_operation |
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155 ddmxg168 maxmag sNaN NaN -> NaN Invalid_operation |
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156 ddmxg169 maxmag sNaN sNaN -> NaN Invalid_operation |
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157 ddmxg170 maxmag NaN sNaN -> NaN Invalid_operation |
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158 ddmxg171 maxmag -Inf sNaN -> NaN Invalid_operation |
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159 ddmxg172 maxmag -1000 sNaN -> NaN Invalid_operation |
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160 ddmxg173 maxmag -1 sNaN -> NaN Invalid_operation |
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161 ddmxg174 maxmag -0 sNaN -> NaN Invalid_operation |
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162 ddmxg175 maxmag 0 sNaN -> NaN Invalid_operation |
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163 ddmxg176 maxmag 1 sNaN -> NaN Invalid_operation |
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164 ddmxg177 maxmag 1000 sNaN -> NaN Invalid_operation |
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165 ddmxg178 maxmag Inf sNaN -> NaN Invalid_operation |
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166 ddmxg179 maxmag NaN sNaN -> NaN Invalid_operation |
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167 |
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168 -- propagating NaNs |
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169 ddmxg181 maxmag NaN9 -Inf -> -Infinity |
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170 ddmxg182 maxmag NaN8 9 -> 9 |
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171 ddmxg183 maxmag -NaN7 Inf -> Infinity |
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172 |
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173 ddmxg184 maxmag -NaN1 NaN11 -> -NaN1 |
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174 ddmxg185 maxmag NaN2 NaN12 -> NaN2 |
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175 ddmxg186 maxmag -NaN13 -NaN7 -> -NaN13 |
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176 ddmxg187 maxmag NaN14 -NaN5 -> NaN14 |
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177 |
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178 ddmxg188 maxmag -Inf NaN4 -> -Infinity |
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179 ddmxg189 maxmag -9 -NaN3 -> -9 |
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180 ddmxg190 maxmag Inf NaN2 -> Infinity |
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181 |
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182 ddmxg191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation |
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183 ddmxg192 maxmag sNaN98 -1 -> NaN98 Invalid_operation |
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184 ddmxg193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation |
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185 ddmxg194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation |
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186 ddmxg195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation |
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187 ddmxg196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation |
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188 ddmxg197 maxmag 0 sNaN91 -> NaN91 Invalid_operation |
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189 ddmxg198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation |
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190 ddmxg199 maxmag NaN sNaN89 -> NaN89 Invalid_operation |
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191 |
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192 -- old rounding checks |
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193 ddmxg221 maxmag 12345678000 1 -> 12345678000 |
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194 ddmxg222 maxmag 1 12345678000 -> 12345678000 |
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195 ddmxg223 maxmag 1234567800 1 -> 1234567800 |
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196 ddmxg224 maxmag 1 1234567800 -> 1234567800 |
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197 ddmxg225 maxmag 1234567890 1 -> 1234567890 |
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198 ddmxg226 maxmag 1 1234567890 -> 1234567890 |
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199 ddmxg227 maxmag 1234567891 1 -> 1234567891 |
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200 ddmxg228 maxmag 1 1234567891 -> 1234567891 |
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201 ddmxg229 maxmag 12345678901 1 -> 12345678901 |
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202 ddmxg230 maxmag 1 12345678901 -> 12345678901 |
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203 ddmxg231 maxmag 1234567896 1 -> 1234567896 |
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204 ddmxg232 maxmag 1 1234567896 -> 1234567896 |
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205 ddmxg233 maxmag -1234567891 1 -> -1234567891 |
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206 ddmxg234 maxmag 1 -1234567891 -> -1234567891 |
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207 ddmxg235 maxmag -12345678901 1 -> -12345678901 |
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208 ddmxg236 maxmag 1 -12345678901 -> -12345678901 |
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209 ddmxg237 maxmag -1234567896 1 -> -1234567896 |
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210 ddmxg238 maxmag 1 -1234567896 -> -1234567896 |
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211 |
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212 -- from examples |
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213 ddmxg280 maxmag '3' '2' -> '3' |
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214 ddmxg281 maxmag '-10' '3' -> '-10' |
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215 ddmxg282 maxmag '1.0' '1' -> '1' |
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216 ddmxg283 maxmag '1' '1.0' -> '1' |
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217 ddmxg284 maxmag '7' 'NaN' -> '7' |
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218 |
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219 -- expanded list from min/max 754r purple prose |
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220 -- [explicit tests for exponent ordering] |
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221 ddmxg401 maxmag Inf 1.1 -> Infinity |
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222 ddmxg402 maxmag 1.1 1 -> 1.1 |
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223 ddmxg403 maxmag 1 1.0 -> 1 |
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224 ddmxg404 maxmag 1.0 0.1 -> 1.0 |
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225 ddmxg405 maxmag 0.1 0.10 -> 0.1 |
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226 ddmxg406 maxmag 0.10 0.100 -> 0.10 |
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227 ddmxg407 maxmag 0.10 0 -> 0.10 |
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228 ddmxg408 maxmag 0 0.0 -> 0 |
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229 ddmxg409 maxmag 0.0 -0 -> 0.0 |
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230 ddmxg410 maxmag 0.0 -0.0 -> 0.0 |
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231 ddmxg411 maxmag 0.00 -0.0 -> 0.00 |
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232 ddmxg412 maxmag 0.0 -0.00 -> 0.0 |
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233 ddmxg413 maxmag 0 -0.0 -> 0 |
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234 ddmxg414 maxmag 0 -0 -> 0 |
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235 ddmxg415 maxmag -0.0 -0 -> -0.0 |
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236 ddmxg416 maxmag -0 -0.100 -> -0.100 |
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237 ddmxg417 maxmag -0.100 -0.10 -> -0.100 |
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238 ddmxg418 maxmag -0.10 -0.1 -> -0.10 |
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239 ddmxg419 maxmag -0.1 -1.0 -> -1.0 |
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240 ddmxg420 maxmag -1.0 -1 -> -1.0 |
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241 ddmxg421 maxmag -1 -1.1 -> -1.1 |
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242 ddmxg423 maxmag -1.1 -Inf -> -Infinity |
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243 -- same with operands reversed |
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244 ddmxg431 maxmag 1.1 Inf -> Infinity |
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245 ddmxg432 maxmag 1 1.1 -> 1.1 |
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246 ddmxg433 maxmag 1.0 1 -> 1 |
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247 ddmxg434 maxmag 0.1 1.0 -> 1.0 |
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248 ddmxg435 maxmag 0.10 0.1 -> 0.1 |
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249 ddmxg436 maxmag 0.100 0.10 -> 0.10 |
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250 ddmxg437 maxmag 0 0.10 -> 0.10 |
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251 ddmxg438 maxmag 0.0 0 -> 0 |
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252 ddmxg439 maxmag -0 0.0 -> 0.0 |
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253 ddmxg440 maxmag -0.0 0.0 -> 0.0 |
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254 ddmxg441 maxmag -0.0 0.00 -> 0.00 |
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255 ddmxg442 maxmag -0.00 0.0 -> 0.0 |
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256 ddmxg443 maxmag -0.0 0 -> 0 |
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257 ddmxg444 maxmag -0 0 -> 0 |
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258 ddmxg445 maxmag -0 -0.0 -> -0.0 |
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259 ddmxg446 maxmag -0.100 -0 -> -0.100 |
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260 ddmxg447 maxmag -0.10 -0.100 -> -0.100 |
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261 ddmxg448 maxmag -0.1 -0.10 -> -0.10 |
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262 ddmxg449 maxmag -1.0 -0.1 -> -1.0 |
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263 ddmxg450 maxmag -1 -1.0 -> -1.0 |
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264 ddmxg451 maxmag -1.1 -1 -> -1.1 |
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265 ddmxg453 maxmag -Inf -1.1 -> -Infinity |
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266 -- largies |
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267 ddmxg460 maxmag 1000 1E+3 -> 1E+3 |
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268 ddmxg461 maxmag 1E+3 1000 -> 1E+3 |
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269 ddmxg462 maxmag 1000 -1E+3 -> 1000 |
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270 ddmxg463 maxmag 1E+3 -1000 -> 1E+3 |
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271 ddmxg464 maxmag -1000 1E+3 -> 1E+3 |
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272 ddmxg465 maxmag -1E+3 1000 -> 1000 |
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273 ddmxg466 maxmag -1000 -1E+3 -> -1000 |
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274 ddmxg467 maxmag -1E+3 -1000 -> -1000 |
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275 |
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276 -- subnormals |
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277 ddmxg510 maxmag 1.00E-383 0 -> 1.00E-383 |
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278 ddmxg511 maxmag 0.1E-383 0 -> 1E-384 Subnormal |
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279 ddmxg512 maxmag 0.10E-383 0 -> 1.0E-384 Subnormal |
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280 ddmxg513 maxmag 0.100E-383 0 -> 1.00E-384 Subnormal |
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281 ddmxg514 maxmag 0.01E-383 0 -> 1E-385 Subnormal |
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282 ddmxg515 maxmag 0.999E-383 0 -> 9.99E-384 Subnormal |
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283 ddmxg516 maxmag 0.099E-383 0 -> 9.9E-385 Subnormal |
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284 ddmxg517 maxmag 0.009E-383 0 -> 9E-386 Subnormal |
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285 ddmxg518 maxmag 0.001E-383 0 -> 1E-386 Subnormal |
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286 ddmxg519 maxmag 0.0009E-383 0 -> 9E-387 Subnormal |
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287 ddmxg520 maxmag 0.0001E-383 0 -> 1E-387 Subnormal |
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288 |
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289 ddmxg530 maxmag -1.00E-383 0 -> -1.00E-383 |
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290 ddmxg531 maxmag -0.1E-383 0 -> -1E-384 Subnormal |
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291 ddmxg532 maxmag -0.10E-383 0 -> -1.0E-384 Subnormal |
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292 ddmxg533 maxmag -0.100E-383 0 -> -1.00E-384 Subnormal |
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293 ddmxg534 maxmag -0.01E-383 0 -> -1E-385 Subnormal |
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294 ddmxg535 maxmag -0.999E-383 0 -> -9.99E-384 Subnormal |
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295 ddmxg536 maxmag -0.099E-383 0 -> -9.9E-385 Subnormal |
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296 ddmxg537 maxmag -0.009E-383 0 -> -9E-386 Subnormal |
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297 ddmxg538 maxmag -0.001E-383 0 -> -1E-386 Subnormal |
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298 ddmxg539 maxmag -0.0009E-383 0 -> -9E-387 Subnormal |
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299 ddmxg540 maxmag -0.0001E-383 0 -> -1E-387 Subnormal |
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300 |
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301 -- Null tests |
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302 ddmxg900 maxmag 10 # -> NaN Invalid_operation |
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303 ddmxg901 maxmag # 10 -> NaN Invalid_operation |
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304 |