1 ------------------------------------------------------------------------
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2 -- ddToIntegral.decTest -- round Double to integral value --
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3 -- Copyright (c) IBM Corporation, 2001, 2008. All rights reserved. --
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4 ------------------------------------------------------------------------
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5 -- Please see the document "General Decimal Arithmetic Testcases" --
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6 -- at http://www2.hursley.ibm.com/decimal for the description of --
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7 -- these testcases. --
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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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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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22 -- This set of tests tests the extended specification 'round-to-integral
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23 -- value-exact' operations (from IEEE 854, later modified in 754r).
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24 -- All non-zero results are defined as being those from either copy or
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25 -- quantize, so those are assumed to have been tested extensively
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26 -- elsewhere; the tests here are for integrity, rounding mode, etc.
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27 -- Also, it is assumed the test harness will use these tests for both
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28 -- ToIntegralExact (which does set Inexact) and the fixed-name
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29 -- functions (which do not set Inexact).
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31 -- Note that decNumber implements an earlier definition of toIntegral
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32 -- which never sets Inexact; the decTest operator for that is called
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33 -- 'tointegral' instead of 'tointegralx'.
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42 ddintx001 tointegralx 0 -> 0
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43 ddintx002 tointegralx 0.0 -> 0
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44 ddintx003 tointegralx 0.1 -> 0 Inexact Rounded
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45 ddintx004 tointegralx 0.2 -> 0 Inexact Rounded
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46 ddintx005 tointegralx 0.3 -> 0 Inexact Rounded
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47 ddintx006 tointegralx 0.4 -> 0 Inexact Rounded
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48 ddintx007 tointegralx 0.5 -> 0 Inexact Rounded
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49 ddintx008 tointegralx 0.6 -> 1 Inexact Rounded
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50 ddintx009 tointegralx 0.7 -> 1 Inexact Rounded
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51 ddintx010 tointegralx 0.8 -> 1 Inexact Rounded
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52 ddintx011 tointegralx 0.9 -> 1 Inexact Rounded
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53 ddintx012 tointegralx 1 -> 1
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54 ddintx013 tointegralx 1.0 -> 1 Rounded
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55 ddintx014 tointegralx 1.1 -> 1 Inexact Rounded
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56 ddintx015 tointegralx 1.2 -> 1 Inexact Rounded
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57 ddintx016 tointegralx 1.3 -> 1 Inexact Rounded
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58 ddintx017 tointegralx 1.4 -> 1 Inexact Rounded
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59 ddintx018 tointegralx 1.5 -> 2 Inexact Rounded
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60 ddintx019 tointegralx 1.6 -> 2 Inexact Rounded
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61 ddintx020 tointegralx 1.7 -> 2 Inexact Rounded
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62 ddintx021 tointegralx 1.8 -> 2 Inexact Rounded
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63 ddintx022 tointegralx 1.9 -> 2 Inexact Rounded
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65 ddintx031 tointegralx -0 -> -0
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66 ddintx032 tointegralx -0.0 -> -0
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67 ddintx033 tointegralx -0.1 -> -0 Inexact Rounded
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68 ddintx034 tointegralx -0.2 -> -0 Inexact Rounded
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69 ddintx035 tointegralx -0.3 -> -0 Inexact Rounded
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70 ddintx036 tointegralx -0.4 -> -0 Inexact Rounded
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71 ddintx037 tointegralx -0.5 -> -0 Inexact Rounded
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72 ddintx038 tointegralx -0.6 -> -1 Inexact Rounded
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73 ddintx039 tointegralx -0.7 -> -1 Inexact Rounded
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74 ddintx040 tointegralx -0.8 -> -1 Inexact Rounded
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75 ddintx041 tointegralx -0.9 -> -1 Inexact Rounded
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76 ddintx042 tointegralx -1 -> -1
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77 ddintx043 tointegralx -1.0 -> -1 Rounded
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78 ddintx044 tointegralx -1.1 -> -1 Inexact Rounded
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79 ddintx045 tointegralx -1.2 -> -1 Inexact Rounded
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80 ddintx046 tointegralx -1.3 -> -1 Inexact Rounded
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81 ddintx047 tointegralx -1.4 -> -1 Inexact Rounded
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82 ddintx048 tointegralx -1.5 -> -2 Inexact Rounded
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83 ddintx049 tointegralx -1.6 -> -2 Inexact Rounded
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84 ddintx050 tointegralx -1.7 -> -2 Inexact Rounded
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85 ddintx051 tointegralx -1.8 -> -2 Inexact Rounded
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86 ddintx052 tointegralx -1.9 -> -2 Inexact Rounded
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87 -- next two would be NaN using quantize(x, 0)
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88 ddintx053 tointegralx 10E+60 -> 1.0E+61
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89 ddintx054 tointegralx -10E+60 -> -1.0E+61
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91 -- numbers around precision
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92 ddintx060 tointegralx '56267E-17' -> '0' Inexact Rounded
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93 ddintx061 tointegralx '56267E-5' -> '1' Inexact Rounded
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94 ddintx062 tointegralx '56267E-2' -> '563' Inexact Rounded
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95 ddintx063 tointegralx '56267E-1' -> '5627' Inexact Rounded
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96 ddintx065 tointegralx '56267E-0' -> '56267'
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97 ddintx066 tointegralx '56267E+0' -> '56267'
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98 ddintx067 tointegralx '56267E+1' -> '5.6267E+5'
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99 ddintx068 tointegralx '56267E+9' -> '5.6267E+13'
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100 ddintx069 tointegralx '56267E+10' -> '5.6267E+14'
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101 ddintx070 tointegralx '56267E+11' -> '5.6267E+15'
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102 ddintx071 tointegralx '56267E+12' -> '5.6267E+16'
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103 ddintx072 tointegralx '56267E+13' -> '5.6267E+17'
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104 ddintx073 tointegralx '1.23E+96' -> '1.23E+96'
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105 ddintx074 tointegralx '1.23E+384' -> #47fd300000000000 Clamped
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107 ddintx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded
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108 ddintx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded
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109 ddintx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded
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110 ddintx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded
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111 ddintx085 tointegralx '-56267E-0' -> '-56267'
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112 ddintx086 tointegralx '-56267E+0' -> '-56267'
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113 ddintx087 tointegralx '-56267E+1' -> '-5.6267E+5'
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114 ddintx088 tointegralx '-56267E+9' -> '-5.6267E+13'
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115 ddintx089 tointegralx '-56267E+10' -> '-5.6267E+14'
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116 ddintx090 tointegralx '-56267E+11' -> '-5.6267E+15'
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117 ddintx091 tointegralx '-56267E+12' -> '-5.6267E+16'
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118 ddintx092 tointegralx '-56267E+13' -> '-5.6267E+17'
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119 ddintx093 tointegralx '-1.23E+96' -> '-1.23E+96'
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120 ddintx094 tointegralx '-1.23E+384' -> #c7fd300000000000 Clamped
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122 -- subnormal inputs
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123 ddintx100 tointegralx 1E-299 -> 0 Inexact Rounded
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124 ddintx101 tointegralx 0.1E-299 -> 0 Inexact Rounded
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125 ddintx102 tointegralx 0.01E-299 -> 0 Inexact Rounded
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126 ddintx103 tointegralx 0E-299 -> 0
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128 -- specials and zeros
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129 ddintx120 tointegralx 'Inf' -> Infinity
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130 ddintx121 tointegralx '-Inf' -> -Infinity
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131 ddintx122 tointegralx NaN -> NaN
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132 ddintx123 tointegralx sNaN -> NaN Invalid_operation
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133 ddintx124 tointegralx 0 -> 0
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134 ddintx125 tointegralx -0 -> -0
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135 ddintx126 tointegralx 0.000 -> 0
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136 ddintx127 tointegralx 0.00 -> 0
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137 ddintx128 tointegralx 0.0 -> 0
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138 ddintx129 tointegralx 0 -> 0
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139 ddintx130 tointegralx 0E-3 -> 0
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140 ddintx131 tointegralx 0E-2 -> 0
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141 ddintx132 tointegralx 0E-1 -> 0
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142 ddintx133 tointegralx 0E-0 -> 0
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143 ddintx134 tointegralx 0E+1 -> 0E+1
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144 ddintx135 tointegralx 0E+2 -> 0E+2
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145 ddintx136 tointegralx 0E+3 -> 0E+3
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146 ddintx137 tointegralx 0E+4 -> 0E+4
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147 ddintx138 tointegralx 0E+5 -> 0E+5
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148 ddintx139 tointegralx -0.000 -> -0
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149 ddintx140 tointegralx -0.00 -> -0
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150 ddintx141 tointegralx -0.0 -> -0
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151 ddintx142 tointegralx -0 -> -0
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152 ddintx143 tointegralx -0E-3 -> -0
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153 ddintx144 tointegralx -0E-2 -> -0
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154 ddintx145 tointegralx -0E-1 -> -0
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155 ddintx146 tointegralx -0E-0 -> -0
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156 ddintx147 tointegralx -0E+1 -> -0E+1
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157 ddintx148 tointegralx -0E+2 -> -0E+2
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158 ddintx149 tointegralx -0E+3 -> -0E+3
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159 ddintx150 tointegralx -0E+4 -> -0E+4
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160 ddintx151 tointegralx -0E+5 -> -0E+5
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161 -- propagating NaNs
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162 ddintx152 tointegralx NaN808 -> NaN808
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163 ddintx153 tointegralx sNaN080 -> NaN80 Invalid_operation
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164 ddintx154 tointegralx -NaN808 -> -NaN808
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165 ddintx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation
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166 ddintx156 tointegralx -NaN -> -NaN
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167 ddintx157 tointegralx -sNaN -> -NaN Invalid_operation
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171 ddintx200 tointegralx 2.1 -> 2 Inexact Rounded
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172 ddintx201 tointegralx 100 -> 100
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173 ddintx202 tointegralx 100.0 -> 100 Rounded
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174 ddintx203 tointegralx 101.5 -> 102 Inexact Rounded
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175 ddintx204 tointegralx -101.5 -> -102 Inexact Rounded
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176 ddintx205 tointegralx 10E+5 -> 1.0E+6
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177 ddintx206 tointegralx 7.89E+77 -> 7.89E+77
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178 ddintx207 tointegralx -Inf -> -Infinity
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181 -- all rounding modes
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182 rounding: half_even
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183 ddintx210 tointegralx 55.5 -> 56 Inexact Rounded
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184 ddintx211 tointegralx 56.5 -> 56 Inexact Rounded
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185 ddintx212 tointegralx 57.5 -> 58 Inexact Rounded
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186 ddintx213 tointegralx -55.5 -> -56 Inexact Rounded
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187 ddintx214 tointegralx -56.5 -> -56 Inexact Rounded
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188 ddintx215 tointegralx -57.5 -> -58 Inexact Rounded
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192 ddintx220 tointegralx 55.5 -> 56 Inexact Rounded
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193 ddintx221 tointegralx 56.5 -> 57 Inexact Rounded
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194 ddintx222 tointegralx 57.5 -> 58 Inexact Rounded
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195 ddintx223 tointegralx -55.5 -> -56 Inexact Rounded
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196 ddintx224 tointegralx -56.5 -> -57 Inexact Rounded
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197 ddintx225 tointegralx -57.5 -> -58 Inexact Rounded
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199 rounding: half_down
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201 ddintx230 tointegralx 55.5 -> 55 Inexact Rounded
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202 ddintx231 tointegralx 56.5 -> 56 Inexact Rounded
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203 ddintx232 tointegralx 57.5 -> 57 Inexact Rounded
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204 ddintx233 tointegralx -55.5 -> -55 Inexact Rounded
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205 ddintx234 tointegralx -56.5 -> -56 Inexact Rounded
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206 ddintx235 tointegralx -57.5 -> -57 Inexact Rounded
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210 ddintx240 tointegralx 55.3 -> 56 Inexact Rounded
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211 ddintx241 tointegralx 56.3 -> 57 Inexact Rounded
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212 ddintx242 tointegralx 57.3 -> 58 Inexact Rounded
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213 ddintx243 tointegralx -55.3 -> -56 Inexact Rounded
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214 ddintx244 tointegralx -56.3 -> -57 Inexact Rounded
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215 ddintx245 tointegralx -57.3 -> -58 Inexact Rounded
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219 ddintx250 tointegralx 55.7 -> 55 Inexact Rounded
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220 ddintx251 tointegralx 56.7 -> 56 Inexact Rounded
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221 ddintx252 tointegralx 57.7 -> 57 Inexact Rounded
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222 ddintx253 tointegralx -55.7 -> -55 Inexact Rounded
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223 ddintx254 tointegralx -56.7 -> -56 Inexact Rounded
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224 ddintx255 tointegralx -57.7 -> -57 Inexact Rounded
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228 ddintx260 tointegralx 55.3 -> 56 Inexact Rounded
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229 ddintx261 tointegralx 56.3 -> 57 Inexact Rounded
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230 ddintx262 tointegralx 57.3 -> 58 Inexact Rounded
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231 ddintx263 tointegralx -55.3 -> -55 Inexact Rounded
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232 ddintx264 tointegralx -56.3 -> -56 Inexact Rounded
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233 ddintx265 tointegralx -57.3 -> -57 Inexact Rounded
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237 ddintx270 tointegralx 55.7 -> 55 Inexact Rounded
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238 ddintx271 tointegralx 56.7 -> 56 Inexact Rounded
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239 ddintx272 tointegralx 57.7 -> 57 Inexact Rounded
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240 ddintx273 tointegralx -55.7 -> -56 Inexact Rounded
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241 ddintx274 tointegralx -56.7 -> -57 Inexact Rounded
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242 ddintx275 tointegralx -57.7 -> -58 Inexact Rounded
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244 -- Int and uInt32 edge values for testing conversions
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245 ddintx300 tointegralx -2147483646 -> -2147483646
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246 ddintx301 tointegralx -2147483647 -> -2147483647
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247 ddintx302 tointegralx -2147483648 -> -2147483648
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248 ddintx303 tointegralx -2147483649 -> -2147483649
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249 ddintx304 tointegralx 2147483646 -> 2147483646
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250 ddintx305 tointegralx 2147483647 -> 2147483647
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251 ddintx306 tointegralx 2147483648 -> 2147483648
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252 ddintx307 tointegralx 2147483649 -> 2147483649
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253 ddintx308 tointegralx 4294967294 -> 4294967294
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254 ddintx309 tointegralx 4294967295 -> 4294967295
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255 ddintx310 tointegralx 4294967296 -> 4294967296
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256 ddintx311 tointegralx 4294967297 -> 4294967297
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