1 | ------------------------------------------------------------------------
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2 | -- reduce.decTest -- remove trailing zeros --
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3 | -- Copyright (c) IBM Corporation, 2003, 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 | -- [This used to be called normalize.]
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21 |
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22 | version: 2.59
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23 |
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24 | extended: 1
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25 | precision: 9
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26 | rounding: half_up
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27 | maxExponent: 999
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28 | minexponent: -999
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29 |
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30 | redx001 reduce '1' -> '1'
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31 | redx002 reduce '-1' -> '-1'
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32 | redx003 reduce '1.00' -> '1'
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33 | redx004 reduce '-1.00' -> '-1'
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34 | redx005 reduce '0' -> '0'
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35 | redx006 reduce '0.00' -> '0'
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36 | redx007 reduce '00.0' -> '0'
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37 | redx008 reduce '00.00' -> '0'
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38 | redx009 reduce '00' -> '0'
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39 | redx010 reduce '0E+1' -> '0'
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40 | redx011 reduce '0E+5' -> '0'
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41 |
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42 | redx012 reduce '-2' -> '-2'
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43 | redx013 reduce '2' -> '2'
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44 | redx014 reduce '-2.00' -> '-2'
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45 | redx015 reduce '2.00' -> '2'
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46 | redx016 reduce '-0' -> '-0'
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47 | redx017 reduce '-0.00' -> '-0'
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48 | redx018 reduce '-00.0' -> '-0'
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49 | redx019 reduce '-00.00' -> '-0'
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50 | redx020 reduce '-00' -> '-0'
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51 | redx021 reduce '-0E+5' -> '-0'
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52 | redx022 reduce '-0E+1' -> '-0'
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53 |
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54 | redx030 reduce '+0.1' -> '0.1'
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55 | redx031 reduce '-0.1' -> '-0.1'
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56 | redx032 reduce '+0.01' -> '0.01'
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57 | redx033 reduce '-0.01' -> '-0.01'
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58 | redx034 reduce '+0.001' -> '0.001'
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59 | redx035 reduce '-0.001' -> '-0.001'
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60 | redx036 reduce '+0.000001' -> '0.000001'
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61 | redx037 reduce '-0.000001' -> '-0.000001'
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62 | redx038 reduce '+0.000000000001' -> '1E-12'
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63 | redx039 reduce '-0.000000000001' -> '-1E-12'
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64 |
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65 | redx041 reduce 1.1 -> 1.1
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66 | redx042 reduce 1.10 -> 1.1
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67 | redx043 reduce 1.100 -> 1.1
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68 | redx044 reduce 1.110 -> 1.11
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69 | redx045 reduce -1.1 -> -1.1
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70 | redx046 reduce -1.10 -> -1.1
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71 | redx047 reduce -1.100 -> -1.1
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72 | redx048 reduce -1.110 -> -1.11
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73 | redx049 reduce 9.9 -> 9.9
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74 | redx050 reduce 9.90 -> 9.9
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75 | redx051 reduce 9.900 -> 9.9
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76 | redx052 reduce 9.990 -> 9.99
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77 | redx053 reduce -9.9 -> -9.9
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78 | redx054 reduce -9.90 -> -9.9
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79 | redx055 reduce -9.900 -> -9.9
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80 | redx056 reduce -9.990 -> -9.99
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81 |
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82 | -- some trailing fractional zeros with zeros in units
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83 | redx060 reduce 10.0 -> 1E+1
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84 | redx061 reduce 10.00 -> 1E+1
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85 | redx062 reduce 100.0 -> 1E+2
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86 | redx063 reduce 100.00 -> 1E+2
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87 | redx064 reduce 1.1000E+3 -> 1.1E+3
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88 | redx065 reduce 1.10000E+3 -> 1.1E+3
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89 | redx066 reduce -10.0 -> -1E+1
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90 | redx067 reduce -10.00 -> -1E+1
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91 | redx068 reduce -100.0 -> -1E+2
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92 | redx069 reduce -100.00 -> -1E+2
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93 | redx070 reduce -1.1000E+3 -> -1.1E+3
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94 | redx071 reduce -1.10000E+3 -> -1.1E+3
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95 |
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96 | -- some insignificant trailing zeros with positive exponent
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97 | redx080 reduce 10E+1 -> 1E+2
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98 | redx081 reduce 100E+1 -> 1E+3
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99 | redx082 reduce 1.0E+2 -> 1E+2
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100 | redx083 reduce 1.0E+3 -> 1E+3
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101 | redx084 reduce 1.1E+3 -> 1.1E+3
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102 | redx085 reduce 1.00E+3 -> 1E+3
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103 | redx086 reduce 1.10E+3 -> 1.1E+3
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104 | redx087 reduce -10E+1 -> -1E+2
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105 | redx088 reduce -100E+1 -> -1E+3
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106 | redx089 reduce -1.0E+2 -> -1E+2
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107 | redx090 reduce -1.0E+3 -> -1E+3
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108 | redx091 reduce -1.1E+3 -> -1.1E+3
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109 | redx092 reduce -1.00E+3 -> -1E+3
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110 | redx093 reduce -1.10E+3 -> -1.1E+3
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111 |
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112 | -- some significant trailing zeros, were we to be trimming
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113 | redx100 reduce 11 -> 11
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114 | redx101 reduce 10 -> 1E+1
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115 | redx102 reduce 10. -> 1E+1
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116 | redx103 reduce 1.1E+1 -> 11
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117 | redx104 reduce 1.0E+1 -> 1E+1
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118 | redx105 reduce 1.10E+2 -> 1.1E+2
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119 | redx106 reduce 1.00E+2 -> 1E+2
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120 | redx107 reduce 1.100E+3 -> 1.1E+3
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121 | redx108 reduce 1.000E+3 -> 1E+3
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122 | redx109 reduce 1.000000E+6 -> 1E+6
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123 | redx110 reduce -11 -> -11
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124 | redx111 reduce -10 -> -1E+1
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125 | redx112 reduce -10. -> -1E+1
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126 | redx113 reduce -1.1E+1 -> -11
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127 | redx114 reduce -1.0E+1 -> -1E+1
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128 | redx115 reduce -1.10E+2 -> -1.1E+2
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129 | redx116 reduce -1.00E+2 -> -1E+2
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130 | redx117 reduce -1.100E+3 -> -1.1E+3
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131 | redx118 reduce -1.000E+3 -> -1E+3
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132 | redx119 reduce -1.00000E+5 -> -1E+5
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133 | redx120 reduce -1.000000E+6 -> -1E+6
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134 | redx121 reduce -10.00000E+6 -> -1E+7
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135 | redx122 reduce -100.0000E+6 -> -1E+8
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136 | redx123 reduce -1000.000E+6 -> -1E+9
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137 | redx124 reduce -10000.00E+6 -> -1E+10
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138 | redx125 reduce -100000.0E+6 -> -1E+11
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139 | redx126 reduce -1000000.E+6 -> -1E+12
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140 |
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141 | -- examples from decArith
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142 | redx140 reduce '2.1' -> '2.1'
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143 | redx141 reduce '-2.0' -> '-2'
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144 | redx142 reduce '1.200' -> '1.2'
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145 | redx143 reduce '-120' -> '-1.2E+2'
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146 | redx144 reduce '120.00' -> '1.2E+2'
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147 | redx145 reduce '0.00' -> '0'
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148 |
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149 | -- overflow tests
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150 | maxexponent: 999999999
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151 | minexponent: -999999999
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152 | precision: 3
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153 | redx160 reduce 9.999E+999999999 -> Infinity Inexact Overflow Rounded
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154 | redx161 reduce -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
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155 |
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156 | -- subnormals and underflow
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157 | precision: 3
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158 | maxexponent: 999
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159 | minexponent: -999
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160 | redx210 reduce 1.00E-999 -> 1E-999
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161 | redx211 reduce 0.1E-999 -> 1E-1000 Subnormal
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162 | redx212 reduce 0.10E-999 -> 1E-1000 Subnormal
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163 | redx213 reduce 0.100E-999 -> 1E-1000 Subnormal Rounded
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164 | redx214 reduce 0.01E-999 -> 1E-1001 Subnormal
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165 | -- next is rounded to Emin
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166 | redx215 reduce 0.999E-999 -> 1E-999 Inexact Rounded Subnormal Underflow
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167 | redx216 reduce 0.099E-999 -> 1E-1000 Inexact Rounded Subnormal Underflow
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168 | redx217 reduce 0.009E-999 -> 1E-1001 Inexact Rounded Subnormal Underflow
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169 | redx218 reduce 0.001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped
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170 | redx219 reduce 0.0009E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped
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171 | redx220 reduce 0.0001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped
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172 |
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173 | redx230 reduce -1.00E-999 -> -1E-999
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174 | redx231 reduce -0.1E-999 -> -1E-1000 Subnormal
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175 | redx232 reduce -0.10E-999 -> -1E-1000 Subnormal
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176 | redx233 reduce -0.100E-999 -> -1E-1000 Subnormal Rounded
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177 | redx234 reduce -0.01E-999 -> -1E-1001 Subnormal
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178 | -- next is rounded to Emin
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179 | redx235 reduce -0.999E-999 -> -1E-999 Inexact Rounded Subnormal Underflow
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180 | redx236 reduce -0.099E-999 -> -1E-1000 Inexact Rounded Subnormal Underflow
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181 | redx237 reduce -0.009E-999 -> -1E-1001 Inexact Rounded Subnormal Underflow
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182 | redx238 reduce -0.001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped
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183 | redx239 reduce -0.0009E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped
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184 | redx240 reduce -0.0001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped
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185 |
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186 | -- more reshaping
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187 | precision: 9
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188 | redx260 reduce '56260E-10' -> '0.000005626'
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189 | redx261 reduce '56260E-5' -> '0.5626'
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190 | redx262 reduce '56260E-2' -> '562.6'
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191 | redx263 reduce '56260E-1' -> '5626'
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192 | redx265 reduce '56260E-0' -> '5.626E+4'
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193 | redx266 reduce '56260E+0' -> '5.626E+4'
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194 | redx267 reduce '56260E+1' -> '5.626E+5'
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195 | redx268 reduce '56260E+2' -> '5.626E+6'
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196 | redx269 reduce '56260E+3' -> '5.626E+7'
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197 | redx270 reduce '56260E+4' -> '5.626E+8'
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198 | redx271 reduce '56260E+5' -> '5.626E+9'
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199 | redx272 reduce '56260E+6' -> '5.626E+10'
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200 | redx280 reduce '-56260E-10' -> '-0.000005626'
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201 | redx281 reduce '-56260E-5' -> '-0.5626'
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202 | redx282 reduce '-56260E-2' -> '-562.6'
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203 | redx283 reduce '-56260E-1' -> '-5626'
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204 | redx285 reduce '-56260E-0' -> '-5.626E+4'
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205 | redx286 reduce '-56260E+0' -> '-5.626E+4'
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206 | redx287 reduce '-56260E+1' -> '-5.626E+5'
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207 | redx288 reduce '-56260E+2' -> '-5.626E+6'
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208 | redx289 reduce '-56260E+3' -> '-5.626E+7'
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209 | redx290 reduce '-56260E+4' -> '-5.626E+8'
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210 | redx291 reduce '-56260E+5' -> '-5.626E+9'
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211 | redx292 reduce '-56260E+6' -> '-5.626E+10'
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212 |
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213 | -- FL test
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214 | precision: 40
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215 | redx295 reduce 9892345673.0123456780000000000 -> 9892345673.012345678
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216 |
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217 | -- specials
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218 | redx820 reduce 'Inf' -> 'Infinity'
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219 | redx821 reduce '-Inf' -> '-Infinity'
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220 | redx822 reduce NaN -> NaN
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221 | redx823 reduce sNaN -> NaN Invalid_operation
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222 | redx824 reduce NaN101 -> NaN101
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223 | redx825 reduce sNaN010 -> NaN10 Invalid_operation
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224 | redx827 reduce -NaN -> -NaN
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225 | redx828 reduce -sNaN -> -NaN Invalid_operation
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226 | redx829 reduce -NaN101 -> -NaN101
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227 | redx830 reduce -sNaN010 -> -NaN10 Invalid_operation
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228 |
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229 | -- payload decapitate
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230 | precision: 5
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231 | redx62100 reduce sNaN1234567890 -> NaN67890 Invalid_operation
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232 |
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233 | -- Null test
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234 | redx900 reduce # -> NaN Invalid_operation
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