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1 ------------------------------------------------------------------------ |
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2 -- ddQuantize.decTest -- decDouble quantize operation -- |
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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: 2.58 |
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21 |
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22 -- Most of the tests here assume a "regular pattern", where the |
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23 -- sign and coefficient are +1. |
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24 -- 2004.03.15 Underflow for quantize is suppressed |
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25 -- 2005.06.08 More extensive tests for 'does not fit' |
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26 precision: 16 |
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27 maxExponent: 384 |
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28 minExponent: -383 |
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29 extended: 1 |
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30 clamp: 1 |
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31 rounding: half_even |
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32 |
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33 -- sanity checks |
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34 ddqua001 quantize 0 1e0 -> 0 |
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35 ddqua002 quantize 1 1e0 -> 1 |
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36 ddqua003 quantize 0.1 1e+2 -> 0E+2 Inexact Rounded |
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37 ddqua005 quantize 0.1 1e+1 -> 0E+1 Inexact Rounded |
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38 ddqua006 quantize 0.1 1e0 -> 0 Inexact Rounded |
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39 ddqua007 quantize 0.1 1e-1 -> 0.1 |
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40 ddqua008 quantize 0.1 1e-2 -> 0.10 |
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41 ddqua009 quantize 0.1 1e-3 -> 0.100 |
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42 ddqua010 quantize 0.9 1e+2 -> 0E+2 Inexact Rounded |
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43 ddqua011 quantize 0.9 1e+1 -> 0E+1 Inexact Rounded |
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44 ddqua012 quantize 0.9 1e+0 -> 1 Inexact Rounded |
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45 ddqua013 quantize 0.9 1e-1 -> 0.9 |
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46 ddqua014 quantize 0.9 1e-2 -> 0.90 |
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47 ddqua015 quantize 0.9 1e-3 -> 0.900 |
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48 -- negatives |
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49 ddqua021 quantize -0 1e0 -> -0 |
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50 ddqua022 quantize -1 1e0 -> -1 |
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51 ddqua023 quantize -0.1 1e+2 -> -0E+2 Inexact Rounded |
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52 ddqua025 quantize -0.1 1e+1 -> -0E+1 Inexact Rounded |
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53 ddqua026 quantize -0.1 1e0 -> -0 Inexact Rounded |
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54 ddqua027 quantize -0.1 1e-1 -> -0.1 |
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55 ddqua028 quantize -0.1 1e-2 -> -0.10 |
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56 ddqua029 quantize -0.1 1e-3 -> -0.100 |
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57 ddqua030 quantize -0.9 1e+2 -> -0E+2 Inexact Rounded |
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58 ddqua031 quantize -0.9 1e+1 -> -0E+1 Inexact Rounded |
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59 ddqua032 quantize -0.9 1e+0 -> -1 Inexact Rounded |
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60 ddqua033 quantize -0.9 1e-1 -> -0.9 |
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61 ddqua034 quantize -0.9 1e-2 -> -0.90 |
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62 ddqua035 quantize -0.9 1e-3 -> -0.900 |
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63 ddqua036 quantize -0.5 1e+2 -> -0E+2 Inexact Rounded |
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64 ddqua037 quantize -0.5 1e+1 -> -0E+1 Inexact Rounded |
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65 ddqua038 quantize -0.5 1e+0 -> -0 Inexact Rounded |
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66 ddqua039 quantize -0.5 1e-1 -> -0.5 |
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67 ddqua040 quantize -0.5 1e-2 -> -0.50 |
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68 ddqua041 quantize -0.5 1e-3 -> -0.500 |
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69 ddqua042 quantize -0.9 1e+2 -> -0E+2 Inexact Rounded |
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70 ddqua043 quantize -0.9 1e+1 -> -0E+1 Inexact Rounded |
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71 ddqua044 quantize -0.9 1e+0 -> -1 Inexact Rounded |
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72 ddqua045 quantize -0.9 1e-1 -> -0.9 |
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73 ddqua046 quantize -0.9 1e-2 -> -0.90 |
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74 ddqua047 quantize -0.9 1e-3 -> -0.900 |
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75 |
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76 -- examples from Specification |
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77 ddqua060 quantize 2.17 0.001 -> 2.170 |
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78 ddqua061 quantize 2.17 0.01 -> 2.17 |
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79 ddqua062 quantize 2.17 0.1 -> 2.2 Inexact Rounded |
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80 ddqua063 quantize 2.17 1e+0 -> 2 Inexact Rounded |
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81 ddqua064 quantize 2.17 1e+1 -> 0E+1 Inexact Rounded |
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82 ddqua065 quantize -Inf Inf -> -Infinity |
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83 ddqua066 quantize 2 Inf -> NaN Invalid_operation |
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84 ddqua067 quantize -0.1 1 -> -0 Inexact Rounded |
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85 ddqua068 quantize -0 1e+5 -> -0E+5 |
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86 ddqua069 quantize +123456789012345.6 1e-2 -> NaN Invalid_operation |
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87 ddqua070 quantize -987654335236450.6 1e-2 -> NaN Invalid_operation |
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88 ddqua071 quantize 217 1e-1 -> 217.0 |
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89 ddqua072 quantize 217 1e+0 -> 217 |
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90 ddqua073 quantize 217 1e+1 -> 2.2E+2 Inexact Rounded |
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91 ddqua074 quantize 217 1e+2 -> 2E+2 Inexact Rounded |
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92 |
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93 -- general tests .. |
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94 ddqua089 quantize 12 1e+4 -> 0E+4 Inexact Rounded |
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95 ddqua090 quantize 12 1e+3 -> 0E+3 Inexact Rounded |
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96 ddqua091 quantize 12 1e+2 -> 0E+2 Inexact Rounded |
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97 ddqua092 quantize 12 1e+1 -> 1E+1 Inexact Rounded |
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98 ddqua093 quantize 1.2345 1e-2 -> 1.23 Inexact Rounded |
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99 ddqua094 quantize 1.2355 1e-2 -> 1.24 Inexact Rounded |
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100 ddqua095 quantize 1.2345 1e-6 -> 1.234500 |
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101 ddqua096 quantize 9.9999 1e-2 -> 10.00 Inexact Rounded |
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102 ddqua097 quantize 0.0001 1e-2 -> 0.00 Inexact Rounded |
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103 ddqua098 quantize 0.001 1e-2 -> 0.00 Inexact Rounded |
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104 ddqua099 quantize 0.009 1e-2 -> 0.01 Inexact Rounded |
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105 ddqua100 quantize 92 1e+2 -> 1E+2 Inexact Rounded |
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106 |
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107 ddqua101 quantize -1 1e0 -> -1 |
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108 ddqua102 quantize -1 1e-1 -> -1.0 |
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109 ddqua103 quantize -1 1e-2 -> -1.00 |
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110 ddqua104 quantize 0 1e0 -> 0 |
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111 ddqua105 quantize 0 1e-1 -> 0.0 |
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112 ddqua106 quantize 0 1e-2 -> 0.00 |
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113 ddqua107 quantize 0.00 1e0 -> 0 |
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114 ddqua108 quantize 0 1e+1 -> 0E+1 |
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115 ddqua109 quantize 0 1e+2 -> 0E+2 |
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116 ddqua110 quantize +1 1e0 -> 1 |
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117 ddqua111 quantize +1 1e-1 -> 1.0 |
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118 ddqua112 quantize +1 1e-2 -> 1.00 |
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119 |
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120 ddqua120 quantize 1.04 1e-3 -> 1.040 |
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121 ddqua121 quantize 1.04 1e-2 -> 1.04 |
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122 ddqua122 quantize 1.04 1e-1 -> 1.0 Inexact Rounded |
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123 ddqua123 quantize 1.04 1e0 -> 1 Inexact Rounded |
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124 ddqua124 quantize 1.05 1e-3 -> 1.050 |
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125 ddqua125 quantize 1.05 1e-2 -> 1.05 |
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126 ddqua126 quantize 1.05 1e-1 -> 1.0 Inexact Rounded |
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127 ddqua131 quantize 1.05 1e0 -> 1 Inexact Rounded |
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128 ddqua132 quantize 1.06 1e-3 -> 1.060 |
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129 ddqua133 quantize 1.06 1e-2 -> 1.06 |
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130 ddqua134 quantize 1.06 1e-1 -> 1.1 Inexact Rounded |
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131 ddqua135 quantize 1.06 1e0 -> 1 Inexact Rounded |
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132 |
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133 ddqua140 quantize -10 1e-2 -> -10.00 |
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134 ddqua141 quantize +1 1e-2 -> 1.00 |
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135 ddqua142 quantize +10 1e-2 -> 10.00 |
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136 ddqua143 quantize 1E+17 1e-2 -> NaN Invalid_operation |
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137 ddqua144 quantize 1E-17 1e-2 -> 0.00 Inexact Rounded |
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138 ddqua145 quantize 1E-3 1e-2 -> 0.00 Inexact Rounded |
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139 ddqua146 quantize 1E-2 1e-2 -> 0.01 |
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140 ddqua147 quantize 1E-1 1e-2 -> 0.10 |
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141 ddqua148 quantize 0E-17 1e-2 -> 0.00 |
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142 |
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143 ddqua150 quantize 1.0600 1e-5 -> 1.06000 |
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144 ddqua151 quantize 1.0600 1e-4 -> 1.0600 |
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145 ddqua152 quantize 1.0600 1e-3 -> 1.060 Rounded |
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146 ddqua153 quantize 1.0600 1e-2 -> 1.06 Rounded |
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147 ddqua154 quantize 1.0600 1e-1 -> 1.1 Inexact Rounded |
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148 ddqua155 quantize 1.0600 1e0 -> 1 Inexact Rounded |
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149 |
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150 -- a couple where rounding was different in base tests |
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151 rounding: half_up |
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152 ddqua157 quantize -0.5 1e+0 -> -1 Inexact Rounded |
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153 ddqua158 quantize 1.05 1e-1 -> 1.1 Inexact Rounded |
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154 ddqua159 quantize 1.06 1e0 -> 1 Inexact Rounded |
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155 rounding: half_even |
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156 |
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157 -- base tests with non-1 coefficients |
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158 ddqua161 quantize 0 -9e0 -> 0 |
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159 ddqua162 quantize 1 -7e0 -> 1 |
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160 ddqua163 quantize 0.1 -1e+2 -> 0E+2 Inexact Rounded |
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161 ddqua165 quantize 0.1 0e+1 -> 0E+1 Inexact Rounded |
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162 ddqua166 quantize 0.1 2e0 -> 0 Inexact Rounded |
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163 ddqua167 quantize 0.1 3e-1 -> 0.1 |
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164 ddqua168 quantize 0.1 44e-2 -> 0.10 |
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165 ddqua169 quantize 0.1 555e-3 -> 0.100 |
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166 ddqua170 quantize 0.9 6666e+2 -> 0E+2 Inexact Rounded |
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167 ddqua171 quantize 0.9 -777e+1 -> 0E+1 Inexact Rounded |
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168 ddqua172 quantize 0.9 -88e+0 -> 1 Inexact Rounded |
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169 ddqua173 quantize 0.9 -9e-1 -> 0.9 |
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170 ddqua174 quantize 0.9 0e-2 -> 0.90 |
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171 ddqua175 quantize 0.9 1.1e-3 -> 0.9000 |
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172 -- negatives |
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173 ddqua181 quantize -0 1.1e0 -> -0.0 |
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174 ddqua182 quantize -1 -1e0 -> -1 |
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175 ddqua183 quantize -0.1 11e+2 -> -0E+2 Inexact Rounded |
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176 ddqua185 quantize -0.1 111e+1 -> -0E+1 Inexact Rounded |
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177 ddqua186 quantize -0.1 71e0 -> -0 Inexact Rounded |
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178 ddqua187 quantize -0.1 -91e-1 -> -0.1 |
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179 ddqua188 quantize -0.1 -.1e-2 -> -0.100 |
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180 ddqua189 quantize -0.1 -1e-3 -> -0.100 |
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181 ddqua190 quantize -0.9 0e+2 -> -0E+2 Inexact Rounded |
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182 ddqua191 quantize -0.9 -0e+1 -> -0E+1 Inexact Rounded |
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183 ddqua192 quantize -0.9 -10e+0 -> -1 Inexact Rounded |
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184 ddqua193 quantize -0.9 100e-1 -> -0.9 |
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185 ddqua194 quantize -0.9 999e-2 -> -0.90 |
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186 |
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187 -- +ve exponents .. |
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188 ddqua201 quantize -1 1e+0 -> -1 |
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189 ddqua202 quantize -1 1e+1 -> -0E+1 Inexact Rounded |
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190 ddqua203 quantize -1 1e+2 -> -0E+2 Inexact Rounded |
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191 ddqua204 quantize 0 1e+0 -> 0 |
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192 ddqua205 quantize 0 1e+1 -> 0E+1 |
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193 ddqua206 quantize 0 1e+2 -> 0E+2 |
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194 ddqua207 quantize +1 1e+0 -> 1 |
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195 ddqua208 quantize +1 1e+1 -> 0E+1 Inexact Rounded |
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196 ddqua209 quantize +1 1e+2 -> 0E+2 Inexact Rounded |
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197 |
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198 ddqua220 quantize 1.04 1e+3 -> 0E+3 Inexact Rounded |
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199 ddqua221 quantize 1.04 1e+2 -> 0E+2 Inexact Rounded |
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200 ddqua222 quantize 1.04 1e+1 -> 0E+1 Inexact Rounded |
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201 ddqua223 quantize 1.04 1e+0 -> 1 Inexact Rounded |
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202 ddqua224 quantize 1.05 1e+3 -> 0E+3 Inexact Rounded |
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203 ddqua225 quantize 1.05 1e+2 -> 0E+2 Inexact Rounded |
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204 ddqua226 quantize 1.05 1e+1 -> 0E+1 Inexact Rounded |
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205 ddqua227 quantize 1.05 1e+0 -> 1 Inexact Rounded |
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206 ddqua228 quantize 1.05 1e+3 -> 0E+3 Inexact Rounded |
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207 ddqua229 quantize 1.05 1e+2 -> 0E+2 Inexact Rounded |
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208 ddqua230 quantize 1.05 1e+1 -> 0E+1 Inexact Rounded |
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209 ddqua231 quantize 1.05 1e+0 -> 1 Inexact Rounded |
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210 ddqua232 quantize 1.06 1e+3 -> 0E+3 Inexact Rounded |
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211 ddqua233 quantize 1.06 1e+2 -> 0E+2 Inexact Rounded |
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212 ddqua234 quantize 1.06 1e+1 -> 0E+1 Inexact Rounded |
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213 ddqua235 quantize 1.06 1e+0 -> 1 Inexact Rounded |
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214 |
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215 ddqua240 quantize -10 1e+1 -> -1E+1 Rounded |
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216 ddqua241 quantize +1 1e+1 -> 0E+1 Inexact Rounded |
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217 ddqua242 quantize +10 1e+1 -> 1E+1 Rounded |
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218 ddqua243 quantize 1E+1 1e+1 -> 1E+1 -- underneath this is E+1 |
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219 ddqua244 quantize 1E+2 1e+1 -> 1.0E+2 -- underneath this is E+1 |
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220 ddqua245 quantize 1E+3 1e+1 -> 1.00E+3 -- underneath this is E+1 |
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221 ddqua246 quantize 1E+4 1e+1 -> 1.000E+4 -- underneath this is E+1 |
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222 ddqua247 quantize 1E+5 1e+1 -> 1.0000E+5 -- underneath this is E+1 |
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223 ddqua248 quantize 1E+6 1e+1 -> 1.00000E+6 -- underneath this is E+1 |
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224 ddqua249 quantize 1E+7 1e+1 -> 1.000000E+7 -- underneath this is E+1 |
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225 ddqua250 quantize 1E+8 1e+1 -> 1.0000000E+8 -- underneath this is E+1 |
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226 ddqua251 quantize 1E+9 1e+1 -> 1.00000000E+9 -- underneath this is E+1 |
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227 -- next one tries to add 9 zeros |
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228 ddqua252 quantize 1E+17 1e+1 -> NaN Invalid_operation |
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229 ddqua253 quantize 1E-17 1e+1 -> 0E+1 Inexact Rounded |
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230 ddqua254 quantize 1E-2 1e+1 -> 0E+1 Inexact Rounded |
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231 ddqua255 quantize 0E-17 1e+1 -> 0E+1 |
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232 ddqua256 quantize -0E-17 1e+1 -> -0E+1 |
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233 ddqua257 quantize -0E-1 1e+1 -> -0E+1 |
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234 ddqua258 quantize -0 1e+1 -> -0E+1 |
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235 ddqua259 quantize -0E+1 1e+1 -> -0E+1 |
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236 |
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237 ddqua260 quantize -10 1e+2 -> -0E+2 Inexact Rounded |
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238 ddqua261 quantize +1 1e+2 -> 0E+2 Inexact Rounded |
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239 ddqua262 quantize +10 1e+2 -> 0E+2 Inexact Rounded |
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240 ddqua263 quantize 1E+1 1e+2 -> 0E+2 Inexact Rounded |
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241 ddqua264 quantize 1E+2 1e+2 -> 1E+2 |
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242 ddqua265 quantize 1E+3 1e+2 -> 1.0E+3 |
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243 ddqua266 quantize 1E+4 1e+2 -> 1.00E+4 |
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244 ddqua267 quantize 1E+5 1e+2 -> 1.000E+5 |
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245 ddqua268 quantize 1E+6 1e+2 -> 1.0000E+6 |
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246 ddqua269 quantize 1E+7 1e+2 -> 1.00000E+7 |
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247 ddqua270 quantize 1E+8 1e+2 -> 1.000000E+8 |
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248 ddqua271 quantize 1E+9 1e+2 -> 1.0000000E+9 |
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249 ddqua272 quantize 1E+10 1e+2 -> 1.00000000E+10 |
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250 ddqua273 quantize 1E-10 1e+2 -> 0E+2 Inexact Rounded |
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251 ddqua274 quantize 1E-2 1e+2 -> 0E+2 Inexact Rounded |
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252 ddqua275 quantize 0E-10 1e+2 -> 0E+2 |
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253 |
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254 ddqua280 quantize -10 1e+3 -> -0E+3 Inexact Rounded |
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255 ddqua281 quantize +1 1e+3 -> 0E+3 Inexact Rounded |
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256 ddqua282 quantize +10 1e+3 -> 0E+3 Inexact Rounded |
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257 ddqua283 quantize 1E+1 1e+3 -> 0E+3 Inexact Rounded |
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258 ddqua284 quantize 1E+2 1e+3 -> 0E+3 Inexact Rounded |
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259 ddqua285 quantize 1E+3 1e+3 -> 1E+3 |
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260 ddqua286 quantize 1E+4 1e+3 -> 1.0E+4 |
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261 ddqua287 quantize 1E+5 1e+3 -> 1.00E+5 |
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262 ddqua288 quantize 1E+6 1e+3 -> 1.000E+6 |
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263 ddqua289 quantize 1E+7 1e+3 -> 1.0000E+7 |
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264 ddqua290 quantize 1E+8 1e+3 -> 1.00000E+8 |
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265 ddqua291 quantize 1E+9 1e+3 -> 1.000000E+9 |
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266 ddqua292 quantize 1E+10 1e+3 -> 1.0000000E+10 |
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267 ddqua293 quantize 1E-10 1e+3 -> 0E+3 Inexact Rounded |
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268 ddqua294 quantize 1E-2 1e+3 -> 0E+3 Inexact Rounded |
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269 ddqua295 quantize 0E-10 1e+3 -> 0E+3 |
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270 |
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271 -- round up from below [sign wrong in JIT compiler once] |
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272 ddqua300 quantize 0.0078 1e-5 -> 0.00780 |
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273 ddqua301 quantize 0.0078 1e-4 -> 0.0078 |
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274 ddqua302 quantize 0.0078 1e-3 -> 0.008 Inexact Rounded |
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275 ddqua303 quantize 0.0078 1e-2 -> 0.01 Inexact Rounded |
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276 ddqua304 quantize 0.0078 1e-1 -> 0.0 Inexact Rounded |
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277 ddqua305 quantize 0.0078 1e0 -> 0 Inexact Rounded |
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278 ddqua306 quantize 0.0078 1e+1 -> 0E+1 Inexact Rounded |
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279 ddqua307 quantize 0.0078 1e+2 -> 0E+2 Inexact Rounded |
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280 |
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281 ddqua310 quantize -0.0078 1e-5 -> -0.00780 |
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282 ddqua311 quantize -0.0078 1e-4 -> -0.0078 |
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283 ddqua312 quantize -0.0078 1e-3 -> -0.008 Inexact Rounded |
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284 ddqua313 quantize -0.0078 1e-2 -> -0.01 Inexact Rounded |
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285 ddqua314 quantize -0.0078 1e-1 -> -0.0 Inexact Rounded |
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286 ddqua315 quantize -0.0078 1e0 -> -0 Inexact Rounded |
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287 ddqua316 quantize -0.0078 1e+1 -> -0E+1 Inexact Rounded |
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288 ddqua317 quantize -0.0078 1e+2 -> -0E+2 Inexact Rounded |
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289 |
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290 ddqua320 quantize 0.078 1e-5 -> 0.07800 |
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291 ddqua321 quantize 0.078 1e-4 -> 0.0780 |
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292 ddqua322 quantize 0.078 1e-3 -> 0.078 |
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293 ddqua323 quantize 0.078 1e-2 -> 0.08 Inexact Rounded |
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294 ddqua324 quantize 0.078 1e-1 -> 0.1 Inexact Rounded |
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295 ddqua325 quantize 0.078 1e0 -> 0 Inexact Rounded |
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296 ddqua326 quantize 0.078 1e+1 -> 0E+1 Inexact Rounded |
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297 ddqua327 quantize 0.078 1e+2 -> 0E+2 Inexact Rounded |
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298 |
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299 ddqua330 quantize -0.078 1e-5 -> -0.07800 |
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300 ddqua331 quantize -0.078 1e-4 -> -0.0780 |
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301 ddqua332 quantize -0.078 1e-3 -> -0.078 |
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302 ddqua333 quantize -0.078 1e-2 -> -0.08 Inexact Rounded |
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303 ddqua334 quantize -0.078 1e-1 -> -0.1 Inexact Rounded |
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304 ddqua335 quantize -0.078 1e0 -> -0 Inexact Rounded |
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305 ddqua336 quantize -0.078 1e+1 -> -0E+1 Inexact Rounded |
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306 ddqua337 quantize -0.078 1e+2 -> -0E+2 Inexact Rounded |
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307 |
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308 ddqua340 quantize 0.78 1e-5 -> 0.78000 |
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309 ddqua341 quantize 0.78 1e-4 -> 0.7800 |
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310 ddqua342 quantize 0.78 1e-3 -> 0.780 |
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311 ddqua343 quantize 0.78 1e-2 -> 0.78 |
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312 ddqua344 quantize 0.78 1e-1 -> 0.8 Inexact Rounded |
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313 ddqua345 quantize 0.78 1e0 -> 1 Inexact Rounded |
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314 ddqua346 quantize 0.78 1e+1 -> 0E+1 Inexact Rounded |
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315 ddqua347 quantize 0.78 1e+2 -> 0E+2 Inexact Rounded |
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316 |
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317 ddqua350 quantize -0.78 1e-5 -> -0.78000 |
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318 ddqua351 quantize -0.78 1e-4 -> -0.7800 |
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319 ddqua352 quantize -0.78 1e-3 -> -0.780 |
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320 ddqua353 quantize -0.78 1e-2 -> -0.78 |
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321 ddqua354 quantize -0.78 1e-1 -> -0.8 Inexact Rounded |
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322 ddqua355 quantize -0.78 1e0 -> -1 Inexact Rounded |
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323 ddqua356 quantize -0.78 1e+1 -> -0E+1 Inexact Rounded |
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324 ddqua357 quantize -0.78 1e+2 -> -0E+2 Inexact Rounded |
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325 |
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326 ddqua360 quantize 7.8 1e-5 -> 7.80000 |
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327 ddqua361 quantize 7.8 1e-4 -> 7.8000 |
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328 ddqua362 quantize 7.8 1e-3 -> 7.800 |
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329 ddqua363 quantize 7.8 1e-2 -> 7.80 |
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330 ddqua364 quantize 7.8 1e-1 -> 7.8 |
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331 ddqua365 quantize 7.8 1e0 -> 8 Inexact Rounded |
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332 ddqua366 quantize 7.8 1e+1 -> 1E+1 Inexact Rounded |
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333 ddqua367 quantize 7.8 1e+2 -> 0E+2 Inexact Rounded |
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334 ddqua368 quantize 7.8 1e+3 -> 0E+3 Inexact Rounded |
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335 |
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336 ddqua370 quantize -7.8 1e-5 -> -7.80000 |
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337 ddqua371 quantize -7.8 1e-4 -> -7.8000 |
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338 ddqua372 quantize -7.8 1e-3 -> -7.800 |
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339 ddqua373 quantize -7.8 1e-2 -> -7.80 |
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340 ddqua374 quantize -7.8 1e-1 -> -7.8 |
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341 ddqua375 quantize -7.8 1e0 -> -8 Inexact Rounded |
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342 ddqua376 quantize -7.8 1e+1 -> -1E+1 Inexact Rounded |
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343 ddqua377 quantize -7.8 1e+2 -> -0E+2 Inexact Rounded |
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344 ddqua378 quantize -7.8 1e+3 -> -0E+3 Inexact Rounded |
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345 |
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346 -- some individuals |
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347 ddqua380 quantize 1234567352364.506 1e-2 -> 1234567352364.51 Inexact Rounded |
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348 ddqua381 quantize 12345673523645.06 1e-2 -> 12345673523645.06 |
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349 ddqua382 quantize 123456735236450.6 1e-2 -> NaN Invalid_operation |
|
350 ddqua383 quantize 1234567352364506 1e-2 -> NaN Invalid_operation |
|
351 ddqua384 quantize -1234567352364.506 1e-2 -> -1234567352364.51 Inexact Rounded |
|
352 ddqua385 quantize -12345673523645.06 1e-2 -> -12345673523645.06 |
|
353 ddqua386 quantize -123456735236450.6 1e-2 -> NaN Invalid_operation |
|
354 ddqua387 quantize -1234567352364506 1e-2 -> NaN Invalid_operation |
|
355 |
|
356 rounding: down |
|
357 ddqua389 quantize 123456735236450.6 1e-2 -> NaN Invalid_operation |
|
358 -- ? should that one instead have been: |
|
359 -- ddqua389 quantize 123456735236450.6 1e-2 -> NaN Invalid_operation |
|
360 rounding: half_up |
|
361 |
|
362 -- and a few more from e-mail discussions |
|
363 ddqua391 quantize 12345678912.34567 1e-3 -> 12345678912.346 Inexact Rounded |
|
364 ddqua392 quantize 123456789123.4567 1e-3 -> 123456789123.457 Inexact Rounded |
|
365 ddqua393 quantize 1234567891234.567 1e-3 -> 1234567891234.567 |
|
366 ddqua394 quantize 12345678912345.67 1e-3 -> NaN Invalid_operation |
|
367 ddqua395 quantize 123456789123456.7 1e-3 -> NaN Invalid_operation |
|
368 ddqua396 quantize 1234567891234567. 1e-3 -> NaN Invalid_operation |
|
369 |
|
370 -- some 9999 round-up cases |
|
371 ddqua400 quantize 9.999 1e-5 -> 9.99900 |
|
372 ddqua401 quantize 9.999 1e-4 -> 9.9990 |
|
373 ddqua402 quantize 9.999 1e-3 -> 9.999 |
|
374 ddqua403 quantize 9.999 1e-2 -> 10.00 Inexact Rounded |
|
375 ddqua404 quantize 9.999 1e-1 -> 10.0 Inexact Rounded |
|
376 ddqua405 quantize 9.999 1e0 -> 10 Inexact Rounded |
|
377 ddqua406 quantize 9.999 1e1 -> 1E+1 Inexact Rounded |
|
378 ddqua407 quantize 9.999 1e2 -> 0E+2 Inexact Rounded |
|
379 |
|
380 ddqua410 quantize 0.999 1e-5 -> 0.99900 |
|
381 ddqua411 quantize 0.999 1e-4 -> 0.9990 |
|
382 ddqua412 quantize 0.999 1e-3 -> 0.999 |
|
383 ddqua413 quantize 0.999 1e-2 -> 1.00 Inexact Rounded |
|
384 ddqua414 quantize 0.999 1e-1 -> 1.0 Inexact Rounded |
|
385 ddqua415 quantize 0.999 1e0 -> 1 Inexact Rounded |
|
386 ddqua416 quantize 0.999 1e1 -> 0E+1 Inexact Rounded |
|
387 |
|
388 ddqua420 quantize 0.0999 1e-5 -> 0.09990 |
|
389 ddqua421 quantize 0.0999 1e-4 -> 0.0999 |
|
390 ddqua422 quantize 0.0999 1e-3 -> 0.100 Inexact Rounded |
|
391 ddqua423 quantize 0.0999 1e-2 -> 0.10 Inexact Rounded |
|
392 ddqua424 quantize 0.0999 1e-1 -> 0.1 Inexact Rounded |
|
393 ddqua425 quantize 0.0999 1e0 -> 0 Inexact Rounded |
|
394 ddqua426 quantize 0.0999 1e1 -> 0E+1 Inexact Rounded |
|
395 |
|
396 ddqua430 quantize 0.00999 1e-5 -> 0.00999 |
|
397 ddqua431 quantize 0.00999 1e-4 -> 0.0100 Inexact Rounded |
|
398 ddqua432 quantize 0.00999 1e-3 -> 0.010 Inexact Rounded |
|
399 ddqua433 quantize 0.00999 1e-2 -> 0.01 Inexact Rounded |
|
400 ddqua434 quantize 0.00999 1e-1 -> 0.0 Inexact Rounded |
|
401 ddqua435 quantize 0.00999 1e0 -> 0 Inexact Rounded |
|
402 ddqua436 quantize 0.00999 1e1 -> 0E+1 Inexact Rounded |
|
403 |
|
404 ddqua440 quantize 0.000999 1e-5 -> 0.00100 Inexact Rounded |
|
405 ddqua441 quantize 0.000999 1e-4 -> 0.0010 Inexact Rounded |
|
406 ddqua442 quantize 0.000999 1e-3 -> 0.001 Inexact Rounded |
|
407 ddqua443 quantize 0.000999 1e-2 -> 0.00 Inexact Rounded |
|
408 ddqua444 quantize 0.000999 1e-1 -> 0.0 Inexact Rounded |
|
409 ddqua445 quantize 0.000999 1e0 -> 0 Inexact Rounded |
|
410 ddqua446 quantize 0.000999 1e1 -> 0E+1 Inexact Rounded |
|
411 |
|
412 ddqua1001 quantize 0.000 0.001 -> 0.000 |
|
413 ddqua1002 quantize 0.001 0.001 -> 0.001 |
|
414 ddqua1003 quantize 0.0012 0.001 -> 0.001 Inexact Rounded |
|
415 ddqua1004 quantize 0.0018 0.001 -> 0.002 Inexact Rounded |
|
416 ddqua1005 quantize 0.501 0.001 -> 0.501 |
|
417 ddqua1006 quantize 0.5012 0.001 -> 0.501 Inexact Rounded |
|
418 ddqua1007 quantize 0.5018 0.001 -> 0.502 Inexact Rounded |
|
419 ddqua1008 quantize 0.999 0.001 -> 0.999 |
|
420 |
|
421 ddqua481 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded |
|
422 ddqua482 quantize 1234567800 1e+1 -> 1.23456780E+9 Rounded |
|
423 ddqua483 quantize 1234567890 1e+1 -> 1.23456789E+9 Rounded |
|
424 ddqua484 quantize 1234567891 1e+1 -> 1.23456789E+9 Inexact Rounded |
|
425 ddqua485 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded |
|
426 ddqua486 quantize 1234567896 1e+1 -> 1.23456790E+9 Inexact Rounded |
|
427 -- a potential double-round |
|
428 ddqua487 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded |
|
429 ddqua488 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded |
|
430 |
|
431 ddqua491 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded |
|
432 ddqua492 quantize 1234567800 1e+1 -> 1.23456780E+9 Rounded |
|
433 ddqua493 quantize 1234567890 1e+1 -> 1.23456789E+9 Rounded |
|
434 ddqua494 quantize 1234567891 1e+1 -> 1.23456789E+9 Inexact Rounded |
|
435 ddqua495 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded |
|
436 ddqua496 quantize 1234567896 1e+1 -> 1.23456790E+9 Inexact Rounded |
|
437 ddqua497 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded |
|
438 ddqua498 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded |
|
439 |
|
440 -- Zeros |
|
441 ddqua500 quantize 0 1e1 -> 0E+1 |
|
442 ddqua501 quantize 0 1e0 -> 0 |
|
443 ddqua502 quantize 0 1e-1 -> 0.0 |
|
444 ddqua503 quantize 0.0 1e-1 -> 0.0 |
|
445 ddqua504 quantize 0.0 1e0 -> 0 |
|
446 ddqua505 quantize 0.0 1e+1 -> 0E+1 |
|
447 ddqua506 quantize 0E+1 1e-1 -> 0.0 |
|
448 ddqua507 quantize 0E+1 1e0 -> 0 |
|
449 ddqua508 quantize 0E+1 1e+1 -> 0E+1 |
|
450 ddqua509 quantize -0 1e1 -> -0E+1 |
|
451 ddqua510 quantize -0 1e0 -> -0 |
|
452 ddqua511 quantize -0 1e-1 -> -0.0 |
|
453 ddqua512 quantize -0.0 1e-1 -> -0.0 |
|
454 ddqua513 quantize -0.0 1e0 -> -0 |
|
455 ddqua514 quantize -0.0 1e+1 -> -0E+1 |
|
456 ddqua515 quantize -0E+1 1e-1 -> -0.0 |
|
457 ddqua516 quantize -0E+1 1e0 -> -0 |
|
458 ddqua517 quantize -0E+1 1e+1 -> -0E+1 |
|
459 |
|
460 -- Suspicious RHS values |
|
461 ddqua520 quantize 1.234 1e359 -> 0E+359 Inexact Rounded |
|
462 ddqua521 quantize 123.456 1e359 -> 0E+359 Inexact Rounded |
|
463 ddqua522 quantize 1.234 1e359 -> 0E+359 Inexact Rounded |
|
464 ddqua523 quantize 123.456 1e359 -> 0E+359 Inexact Rounded |
|
465 -- next four are "won't fit" overfl |
|
466 ddqua526 quantize 1.234 1e-299 -> NaN Invalid_operation |
|
467 ddqua527 quantize 123.456 1e-299 -> NaN Invalid_operation |
|
468 ddqua528 quantize 1.234 1e-299 -> NaN Invalid_operation |
|
469 ddqua529 quantize 123.456 1e-299 -> NaN Invalid_operation |
|
470 |
|
471 ddqua532 quantize 1.234E+299 1e299 -> 1E+299 Inexact Rounded |
|
472 ddqua533 quantize 1.234E+298 1e299 -> 0E+299 Inexact Rounded |
|
473 ddqua534 quantize 1.234 1e299 -> 0E+299 Inexact Rounded |
|
474 ddqua537 quantize 0 1e-299 -> 0E-299 |
|
475 -- next two are "won't fit" overflows |
|
476 ddqua538 quantize 1.234 1e-299 -> NaN Invalid_operation |
|
477 ddqua539 quantize 1.234 1e-300 -> NaN Invalid_operation |
|
478 -- [more below] |
|
479 |
|
480 -- Specials |
|
481 ddqua580 quantize Inf -Inf -> Infinity |
|
482 ddqua581 quantize Inf 1e-299 -> NaN Invalid_operation |
|
483 ddqua582 quantize Inf 1e-1 -> NaN Invalid_operation |
|
484 ddqua583 quantize Inf 1e0 -> NaN Invalid_operation |
|
485 ddqua584 quantize Inf 1e1 -> NaN Invalid_operation |
|
486 ddqua585 quantize Inf 1e299 -> NaN Invalid_operation |
|
487 ddqua586 quantize Inf Inf -> Infinity |
|
488 ddqua587 quantize -1000 Inf -> NaN Invalid_operation |
|
489 ddqua588 quantize -Inf Inf -> -Infinity |
|
490 ddqua589 quantize -1 Inf -> NaN Invalid_operation |
|
491 ddqua590 quantize 0 Inf -> NaN Invalid_operation |
|
492 ddqua591 quantize 1 Inf -> NaN Invalid_operation |
|
493 ddqua592 quantize 1000 Inf -> NaN Invalid_operation |
|
494 ddqua593 quantize Inf Inf -> Infinity |
|
495 ddqua594 quantize Inf 1e-0 -> NaN Invalid_operation |
|
496 ddqua595 quantize -0 Inf -> NaN Invalid_operation |
|
497 |
|
498 ddqua600 quantize -Inf -Inf -> -Infinity |
|
499 ddqua601 quantize -Inf 1e-299 -> NaN Invalid_operation |
|
500 ddqua602 quantize -Inf 1e-1 -> NaN Invalid_operation |
|
501 ddqua603 quantize -Inf 1e0 -> NaN Invalid_operation |
|
502 ddqua604 quantize -Inf 1e1 -> NaN Invalid_operation |
|
503 ddqua605 quantize -Inf 1e299 -> NaN Invalid_operation |
|
504 ddqua606 quantize -Inf Inf -> -Infinity |
|
505 ddqua607 quantize -1000 Inf -> NaN Invalid_operation |
|
506 ddqua608 quantize -Inf -Inf -> -Infinity |
|
507 ddqua609 quantize -1 -Inf -> NaN Invalid_operation |
|
508 ddqua610 quantize 0 -Inf -> NaN Invalid_operation |
|
509 ddqua611 quantize 1 -Inf -> NaN Invalid_operation |
|
510 ddqua612 quantize 1000 -Inf -> NaN Invalid_operation |
|
511 ddqua613 quantize Inf -Inf -> Infinity |
|
512 ddqua614 quantize -Inf 1e-0 -> NaN Invalid_operation |
|
513 ddqua615 quantize -0 -Inf -> NaN Invalid_operation |
|
514 |
|
515 ddqua621 quantize NaN -Inf -> NaN |
|
516 ddqua622 quantize NaN 1e-299 -> NaN |
|
517 ddqua623 quantize NaN 1e-1 -> NaN |
|
518 ddqua624 quantize NaN 1e0 -> NaN |
|
519 ddqua625 quantize NaN 1e1 -> NaN |
|
520 ddqua626 quantize NaN 1e299 -> NaN |
|
521 ddqua627 quantize NaN Inf -> NaN |
|
522 ddqua628 quantize NaN NaN -> NaN |
|
523 ddqua629 quantize -Inf NaN -> NaN |
|
524 ddqua630 quantize -1000 NaN -> NaN |
|
525 ddqua631 quantize -1 NaN -> NaN |
|
526 ddqua632 quantize 0 NaN -> NaN |
|
527 ddqua633 quantize 1 NaN -> NaN |
|
528 ddqua634 quantize 1000 NaN -> NaN |
|
529 ddqua635 quantize Inf NaN -> NaN |
|
530 ddqua636 quantize NaN 1e-0 -> NaN |
|
531 ddqua637 quantize -0 NaN -> NaN |
|
532 |
|
533 ddqua641 quantize sNaN -Inf -> NaN Invalid_operation |
|
534 ddqua642 quantize sNaN 1e-299 -> NaN Invalid_operation |
|
535 ddqua643 quantize sNaN 1e-1 -> NaN Invalid_operation |
|
536 ddqua644 quantize sNaN 1e0 -> NaN Invalid_operation |
|
537 ddqua645 quantize sNaN 1e1 -> NaN Invalid_operation |
|
538 ddqua646 quantize sNaN 1e299 -> NaN Invalid_operation |
|
539 ddqua647 quantize sNaN NaN -> NaN Invalid_operation |
|
540 ddqua648 quantize sNaN sNaN -> NaN Invalid_operation |
|
541 ddqua649 quantize NaN sNaN -> NaN Invalid_operation |
|
542 ddqua650 quantize -Inf sNaN -> NaN Invalid_operation |
|
543 ddqua651 quantize -1000 sNaN -> NaN Invalid_operation |
|
544 ddqua652 quantize -1 sNaN -> NaN Invalid_operation |
|
545 ddqua653 quantize 0 sNaN -> NaN Invalid_operation |
|
546 ddqua654 quantize 1 sNaN -> NaN Invalid_operation |
|
547 ddqua655 quantize 1000 sNaN -> NaN Invalid_operation |
|
548 ddqua656 quantize Inf sNaN -> NaN Invalid_operation |
|
549 ddqua657 quantize NaN sNaN -> NaN Invalid_operation |
|
550 ddqua658 quantize sNaN 1e-0 -> NaN Invalid_operation |
|
551 ddqua659 quantize -0 sNaN -> NaN Invalid_operation |
|
552 |
|
553 -- propagating NaNs |
|
554 ddqua661 quantize NaN9 -Inf -> NaN9 |
|
555 ddqua662 quantize NaN8 919 -> NaN8 |
|
556 ddqua663 quantize NaN71 Inf -> NaN71 |
|
557 ddqua664 quantize NaN6 NaN5 -> NaN6 |
|
558 ddqua665 quantize -Inf NaN4 -> NaN4 |
|
559 ddqua666 quantize -919 NaN31 -> NaN31 |
|
560 ddqua667 quantize Inf NaN2 -> NaN2 |
|
561 |
|
562 ddqua671 quantize sNaN99 -Inf -> NaN99 Invalid_operation |
|
563 ddqua672 quantize sNaN98 -11 -> NaN98 Invalid_operation |
|
564 ddqua673 quantize sNaN97 NaN -> NaN97 Invalid_operation |
|
565 ddqua674 quantize sNaN16 sNaN94 -> NaN16 Invalid_operation |
|
566 ddqua675 quantize NaN95 sNaN93 -> NaN93 Invalid_operation |
|
567 ddqua676 quantize -Inf sNaN92 -> NaN92 Invalid_operation |
|
568 ddqua677 quantize 088 sNaN91 -> NaN91 Invalid_operation |
|
569 ddqua678 quantize Inf sNaN90 -> NaN90 Invalid_operation |
|
570 ddqua679 quantize NaN sNaN88 -> NaN88 Invalid_operation |
|
571 |
|
572 ddqua681 quantize -NaN9 -Inf -> -NaN9 |
|
573 ddqua682 quantize -NaN8 919 -> -NaN8 |
|
574 ddqua683 quantize -NaN71 Inf -> -NaN71 |
|
575 ddqua684 quantize -NaN6 -NaN5 -> -NaN6 |
|
576 ddqua685 quantize -Inf -NaN4 -> -NaN4 |
|
577 ddqua686 quantize -919 -NaN31 -> -NaN31 |
|
578 ddqua687 quantize Inf -NaN2 -> -NaN2 |
|
579 |
|
580 ddqua691 quantize -sNaN99 -Inf -> -NaN99 Invalid_operation |
|
581 ddqua692 quantize -sNaN98 -11 -> -NaN98 Invalid_operation |
|
582 ddqua693 quantize -sNaN97 NaN -> -NaN97 Invalid_operation |
|
583 ddqua694 quantize -sNaN16 sNaN94 -> -NaN16 Invalid_operation |
|
584 ddqua695 quantize -NaN95 -sNaN93 -> -NaN93 Invalid_operation |
|
585 ddqua696 quantize -Inf -sNaN92 -> -NaN92 Invalid_operation |
|
586 ddqua697 quantize 088 -sNaN91 -> -NaN91 Invalid_operation |
|
587 ddqua698 quantize Inf -sNaN90 -> -NaN90 Invalid_operation |
|
588 ddqua699 quantize NaN -sNaN88 -> -NaN88 Invalid_operation |
|
589 |
|
590 -- subnormals and underflow |
|
591 ddqua710 quantize 1.00E-383 1e-383 -> 1E-383 Rounded |
|
592 ddqua711 quantize 0.1E-383 2e-384 -> 1E-384 Subnormal |
|
593 ddqua712 quantize 0.10E-383 3e-384 -> 1E-384 Subnormal Rounded |
|
594 ddqua713 quantize 0.100E-383 4e-384 -> 1E-384 Subnormal Rounded |
|
595 ddqua714 quantize 0.01E-383 5e-385 -> 1E-385 Subnormal |
|
596 -- next is rounded to Emin |
|
597 ddqua715 quantize 0.999E-383 1e-383 -> 1E-383 Inexact Rounded |
|
598 ddqua716 quantize 0.099E-383 10e-384 -> 1E-384 Inexact Rounded Subnormal |
|
599 |
|
600 ddqua717 quantize 0.009E-383 1e-385 -> 1E-385 Inexact Rounded Subnormal |
|
601 ddqua718 quantize 0.001E-383 1e-385 -> 0E-385 Inexact Rounded |
|
602 ddqua719 quantize 0.0009E-383 1e-385 -> 0E-385 Inexact Rounded |
|
603 ddqua720 quantize 0.0001E-383 1e-385 -> 0E-385 Inexact Rounded |
|
604 |
|
605 ddqua730 quantize -1.00E-383 1e-383 -> -1E-383 Rounded |
|
606 ddqua731 quantize -0.1E-383 1e-383 -> -0E-383 Rounded Inexact |
|
607 ddqua732 quantize -0.10E-383 1e-383 -> -0E-383 Rounded Inexact |
|
608 ddqua733 quantize -0.100E-383 1e-383 -> -0E-383 Rounded Inexact |
|
609 ddqua734 quantize -0.01E-383 1e-383 -> -0E-383 Inexact Rounded |
|
610 -- next is rounded to Emin |
|
611 ddqua735 quantize -0.999E-383 90e-383 -> -1E-383 Inexact Rounded |
|
612 ddqua736 quantize -0.099E-383 -1e-383 -> -0E-383 Inexact Rounded |
|
613 ddqua737 quantize -0.009E-383 -1e-383 -> -0E-383 Inexact Rounded |
|
614 ddqua738 quantize -0.001E-383 -0e-383 -> -0E-383 Inexact Rounded |
|
615 ddqua739 quantize -0.0001E-383 0e-383 -> -0E-383 Inexact Rounded |
|
616 |
|
617 ddqua740 quantize -1.00E-383 1e-384 -> -1.0E-383 Rounded |
|
618 ddqua741 quantize -0.1E-383 1e-384 -> -1E-384 Subnormal |
|
619 ddqua742 quantize -0.10E-383 1e-384 -> -1E-384 Subnormal Rounded |
|
620 ddqua743 quantize -0.100E-383 1e-384 -> -1E-384 Subnormal Rounded |
|
621 ddqua744 quantize -0.01E-383 1e-384 -> -0E-384 Inexact Rounded |
|
622 -- next is rounded to Emin |
|
623 ddqua745 quantize -0.999E-383 1e-384 -> -1.0E-383 Inexact Rounded |
|
624 ddqua746 quantize -0.099E-383 1e-384 -> -1E-384 Inexact Rounded Subnormal |
|
625 ddqua747 quantize -0.009E-383 1e-384 -> -0E-384 Inexact Rounded |
|
626 ddqua748 quantize -0.001E-383 1e-384 -> -0E-384 Inexact Rounded |
|
627 ddqua749 quantize -0.0001E-383 1e-384 -> -0E-384 Inexact Rounded |
|
628 |
|
629 ddqua750 quantize -1.00E-383 1e-385 -> -1.00E-383 |
|
630 ddqua751 quantize -0.1E-383 1e-385 -> -1.0E-384 Subnormal |
|
631 ddqua752 quantize -0.10E-383 1e-385 -> -1.0E-384 Subnormal |
|
632 ddqua753 quantize -0.100E-383 1e-385 -> -1.0E-384 Subnormal Rounded |
|
633 ddqua754 quantize -0.01E-383 1e-385 -> -1E-385 Subnormal |
|
634 -- next is rounded to Emin |
|
635 ddqua755 quantize -0.999E-383 1e-385 -> -1.00E-383 Inexact Rounded |
|
636 ddqua756 quantize -0.099E-383 1e-385 -> -1.0E-384 Inexact Rounded Subnormal |
|
637 ddqua757 quantize -0.009E-383 1e-385 -> -1E-385 Inexact Rounded Subnormal |
|
638 ddqua758 quantize -0.001E-383 1e-385 -> -0E-385 Inexact Rounded |
|
639 ddqua759 quantize -0.0001E-383 1e-385 -> -0E-385 Inexact Rounded |
|
640 |
|
641 ddqua760 quantize -1.00E-383 1e-386 -> -1.000E-383 |
|
642 ddqua761 quantize -0.1E-383 1e-386 -> -1.00E-384 Subnormal |
|
643 ddqua762 quantize -0.10E-383 1e-386 -> -1.00E-384 Subnormal |
|
644 ddqua763 quantize -0.100E-383 1e-386 -> -1.00E-384 Subnormal |
|
645 ddqua764 quantize -0.01E-383 1e-386 -> -1.0E-385 Subnormal |
|
646 ddqua765 quantize -0.999E-383 1e-386 -> -9.99E-384 Subnormal |
|
647 ddqua766 quantize -0.099E-383 1e-386 -> -9.9E-385 Subnormal |
|
648 ddqua767 quantize -0.009E-383 1e-386 -> -9E-386 Subnormal |
|
649 ddqua768 quantize -0.001E-383 1e-386 -> -1E-386 Subnormal |
|
650 ddqua769 quantize -0.0001E-383 1e-386 -> -0E-386 Inexact Rounded |
|
651 |
|
652 -- More from Fung Lee |
|
653 ddqua1021 quantize 8.666666666666000E+384 1.000000000000000E+384 -> 8.666666666666000E+384 |
|
654 ddqua1022 quantize -8.666666666666000E+384 1.000000000000000E+384 -> -8.666666666666000E+384 |
|
655 ddqua1027 quantize 8.666666666666000E+323 1E+31 -> NaN Invalid_operation |
|
656 ddqua1029 quantize 8.66666666E+3 1E+3 -> 9E+3 Inexact Rounded |
|
657 |
|
658 |
|
659 --ddqua1030 quantize 8.666666666666000E+384 1E+384 -> 9.000000000000000E+384 Rounded Inexact |
|
660 --ddqua1031 quantize 8.666666666666000E+384 1E+384 -> 8.666666666666000E+384 Rounded |
|
661 --ddqua1032 quantize 8.666666666666000E+384 1E+383 -> 8.666666666666000E+384 Rounded |
|
662 --ddqua1033 quantize 8.666666666666000E+384 1E+382 -> 8.666666666666000E+384 Rounded |
|
663 --ddqua1034 quantize 8.666666666666000E+384 1E+381 -> 8.666666666666000E+384 Rounded |
|
664 --ddqua1035 quantize 8.666666666666000E+384 1E+380 -> 8.666666666666000E+384 Rounded |
|
665 |
|
666 -- Int and uInt32 edge values for testing conversions |
|
667 ddqua1040 quantize -2147483646 0 -> -2147483646 |
|
668 ddqua1041 quantize -2147483647 0 -> -2147483647 |
|
669 ddqua1042 quantize -2147483648 0 -> -2147483648 |
|
670 ddqua1043 quantize -2147483649 0 -> -2147483649 |
|
671 ddqua1044 quantize 2147483646 0 -> 2147483646 |
|
672 ddqua1045 quantize 2147483647 0 -> 2147483647 |
|
673 ddqua1046 quantize 2147483648 0 -> 2147483648 |
|
674 ddqua1047 quantize 2147483649 0 -> 2147483649 |
|
675 ddqua1048 quantize 4294967294 0 -> 4294967294 |
|
676 ddqua1049 quantize 4294967295 0 -> 4294967295 |
|
677 ddqua1050 quantize 4294967296 0 -> 4294967296 |
|
678 ddqua1051 quantize 4294967297 0 -> 4294967297 |
|
679 |
|
680 -- Rounding swathe |
|
681 rounding: half_even |
|
682 ddqua1100 quantize 1.2300 1.00 -> 1.23 Rounded |
|
683 ddqua1101 quantize 1.2301 1.00 -> 1.23 Inexact Rounded |
|
684 ddqua1102 quantize 1.2310 1.00 -> 1.23 Inexact Rounded |
|
685 ddqua1103 quantize 1.2350 1.00 -> 1.24 Inexact Rounded |
|
686 ddqua1104 quantize 1.2351 1.00 -> 1.24 Inexact Rounded |
|
687 ddqua1105 quantize 1.2450 1.00 -> 1.24 Inexact Rounded |
|
688 ddqua1106 quantize 1.2451 1.00 -> 1.25 Inexact Rounded |
|
689 ddqua1107 quantize 1.2360 1.00 -> 1.24 Inexact Rounded |
|
690 ddqua1108 quantize 1.2370 1.00 -> 1.24 Inexact Rounded |
|
691 ddqua1109 quantize 1.2399 1.00 -> 1.24 Inexact Rounded |
|
692 |
|
693 rounding: half_up |
|
694 ddqua1200 quantize 1.2300 1.00 -> 1.23 Rounded |
|
695 ddqua1201 quantize 1.2301 1.00 -> 1.23 Inexact Rounded |
|
696 ddqua1202 quantize 1.2310 1.00 -> 1.23 Inexact Rounded |
|
697 ddqua1203 quantize 1.2350 1.00 -> 1.24 Inexact Rounded |
|
698 ddqua1204 quantize 1.2351 1.00 -> 1.24 Inexact Rounded |
|
699 ddqua1205 quantize 1.2450 1.00 -> 1.25 Inexact Rounded |
|
700 ddqua1206 quantize 1.2451 1.00 -> 1.25 Inexact Rounded |
|
701 ddqua1207 quantize 1.2360 1.00 -> 1.24 Inexact Rounded |
|
702 ddqua1208 quantize 1.2370 1.00 -> 1.24 Inexact Rounded |
|
703 ddqua1209 quantize 1.2399 1.00 -> 1.24 Inexact Rounded |
|
704 |
|
705 rounding: half_down |
|
706 ddqua1300 quantize 1.2300 1.00 -> 1.23 Rounded |
|
707 ddqua1301 quantize 1.2301 1.00 -> 1.23 Inexact Rounded |
|
708 ddqua1302 quantize 1.2310 1.00 -> 1.23 Inexact Rounded |
|
709 ddqua1303 quantize 1.2350 1.00 -> 1.23 Inexact Rounded |
|
710 ddqua1304 quantize 1.2351 1.00 -> 1.24 Inexact Rounded |
|
711 ddqua1305 quantize 1.2450 1.00 -> 1.24 Inexact Rounded |
|
712 ddqua1306 quantize 1.2451 1.00 -> 1.25 Inexact Rounded |
|
713 ddqua1307 quantize 1.2360 1.00 -> 1.24 Inexact Rounded |
|
714 ddqua1308 quantize 1.2370 1.00 -> 1.24 Inexact Rounded |
|
715 ddqua1309 quantize 1.2399 1.00 -> 1.24 Inexact Rounded |
|
716 |
|
717 rounding: up |
|
718 ddqua1400 quantize 1.2300 1.00 -> 1.23 Rounded |
|
719 ddqua1401 quantize 1.2301 1.00 -> 1.24 Inexact Rounded |
|
720 ddqua1402 quantize 1.2310 1.00 -> 1.24 Inexact Rounded |
|
721 ddqua1403 quantize 1.2350 1.00 -> 1.24 Inexact Rounded |
|
722 ddqua1404 quantize 1.2351 1.00 -> 1.24 Inexact Rounded |
|
723 ddqua1405 quantize 1.2450 1.00 -> 1.25 Inexact Rounded |
|
724 ddqua1406 quantize 1.2451 1.00 -> 1.25 Inexact Rounded |
|
725 ddqua1407 quantize 1.2360 1.00 -> 1.24 Inexact Rounded |
|
726 ddqua1408 quantize 1.2370 1.00 -> 1.24 Inexact Rounded |
|
727 ddqua1409 quantize 1.2399 1.00 -> 1.24 Inexact Rounded |
|
728 ddqua1411 quantize -1.2399 1.00 -> -1.24 Inexact Rounded |
|
729 |
|
730 rounding: down |
|
731 ddqua1500 quantize 1.2300 1.00 -> 1.23 Rounded |
|
732 ddqua1501 quantize 1.2301 1.00 -> 1.23 Inexact Rounded |
|
733 ddqua1502 quantize 1.2310 1.00 -> 1.23 Inexact Rounded |
|
734 ddqua1503 quantize 1.2350 1.00 -> 1.23 Inexact Rounded |
|
735 ddqua1504 quantize 1.2351 1.00 -> 1.23 Inexact Rounded |
|
736 ddqua1505 quantize 1.2450 1.00 -> 1.24 Inexact Rounded |
|
737 ddqua1506 quantize 1.2451 1.00 -> 1.24 Inexact Rounded |
|
738 ddqua1507 quantize 1.2360 1.00 -> 1.23 Inexact Rounded |
|
739 ddqua1508 quantize 1.2370 1.00 -> 1.23 Inexact Rounded |
|
740 ddqua1509 quantize 1.2399 1.00 -> 1.23 Inexact Rounded |
|
741 ddqua1511 quantize -1.2399 1.00 -> -1.23 Inexact Rounded |
|
742 |
|
743 rounding: ceiling |
|
744 ddqua1600 quantize 1.2300 1.00 -> 1.23 Rounded |
|
745 ddqua1601 quantize 1.2301 1.00 -> 1.24 Inexact Rounded |
|
746 ddqua1602 quantize 1.2310 1.00 -> 1.24 Inexact Rounded |
|
747 ddqua1603 quantize 1.2350 1.00 -> 1.24 Inexact Rounded |
|
748 ddqua1604 quantize 1.2351 1.00 -> 1.24 Inexact Rounded |
|
749 ddqua1605 quantize 1.2450 1.00 -> 1.25 Inexact Rounded |
|
750 ddqua1606 quantize 1.2451 1.00 -> 1.25 Inexact Rounded |
|
751 ddqua1607 quantize 1.2360 1.00 -> 1.24 Inexact Rounded |
|
752 ddqua1608 quantize 1.2370 1.00 -> 1.24 Inexact Rounded |
|
753 ddqua1609 quantize 1.2399 1.00 -> 1.24 Inexact Rounded |
|
754 ddqua1611 quantize -1.2399 1.00 -> -1.23 Inexact Rounded |
|
755 |
|
756 rounding: floor |
|
757 ddqua1700 quantize 1.2300 1.00 -> 1.23 Rounded |
|
758 ddqua1701 quantize 1.2301 1.00 -> 1.23 Inexact Rounded |
|
759 ddqua1702 quantize 1.2310 1.00 -> 1.23 Inexact Rounded |
|
760 ddqua1703 quantize 1.2350 1.00 -> 1.23 Inexact Rounded |
|
761 ddqua1704 quantize 1.2351 1.00 -> 1.23 Inexact Rounded |
|
762 ddqua1705 quantize 1.2450 1.00 -> 1.24 Inexact Rounded |
|
763 ddqua1706 quantize 1.2451 1.00 -> 1.24 Inexact Rounded |
|
764 ddqua1707 quantize 1.2360 1.00 -> 1.23 Inexact Rounded |
|
765 ddqua1708 quantize 1.2370 1.00 -> 1.23 Inexact Rounded |
|
766 ddqua1709 quantize 1.2399 1.00 -> 1.23 Inexact Rounded |
|
767 ddqua1711 quantize -1.2399 1.00 -> -1.24 Inexact Rounded |
|
768 |
|
769 rounding: 05up |
|
770 ddqua1800 quantize 1.2000 1.00 -> 1.20 Rounded |
|
771 ddqua1801 quantize 1.2001 1.00 -> 1.21 Inexact Rounded |
|
772 ddqua1802 quantize 1.2010 1.00 -> 1.21 Inexact Rounded |
|
773 ddqua1803 quantize 1.2050 1.00 -> 1.21 Inexact Rounded |
|
774 ddqua1804 quantize 1.2051 1.00 -> 1.21 Inexact Rounded |
|
775 ddqua1807 quantize 1.2060 1.00 -> 1.21 Inexact Rounded |
|
776 ddqua1808 quantize 1.2070 1.00 -> 1.21 Inexact Rounded |
|
777 ddqua1809 quantize 1.2099 1.00 -> 1.21 Inexact Rounded |
|
778 ddqua1811 quantize -1.2099 1.00 -> -1.21 Inexact Rounded |
|
779 |
|
780 ddqua1900 quantize 1.2100 1.00 -> 1.21 Rounded |
|
781 ddqua1901 quantize 1.2101 1.00 -> 1.21 Inexact Rounded |
|
782 ddqua1902 quantize 1.2110 1.00 -> 1.21 Inexact Rounded |
|
783 ddqua1903 quantize 1.2150 1.00 -> 1.21 Inexact Rounded |
|
784 ddqua1904 quantize 1.2151 1.00 -> 1.21 Inexact Rounded |
|
785 ddqua1907 quantize 1.2160 1.00 -> 1.21 Inexact Rounded |
|
786 ddqua1908 quantize 1.2170 1.00 -> 1.21 Inexact Rounded |
|
787 ddqua1909 quantize 1.2199 1.00 -> 1.21 Inexact Rounded |
|
788 ddqua1911 quantize -1.2199 1.00 -> -1.21 Inexact Rounded |
|
789 |
|
790 ddqua2000 quantize 1.2400 1.00 -> 1.24 Rounded |
|
791 ddqua2001 quantize 1.2401 1.00 -> 1.24 Inexact Rounded |
|
792 ddqua2002 quantize 1.2410 1.00 -> 1.24 Inexact Rounded |
|
793 ddqua2003 quantize 1.2450 1.00 -> 1.24 Inexact Rounded |
|
794 ddqua2004 quantize 1.2451 1.00 -> 1.24 Inexact Rounded |
|
795 ddqua2007 quantize 1.2460 1.00 -> 1.24 Inexact Rounded |
|
796 ddqua2008 quantize 1.2470 1.00 -> 1.24 Inexact Rounded |
|
797 ddqua2009 quantize 1.2499 1.00 -> 1.24 Inexact Rounded |
|
798 ddqua2011 quantize -1.2499 1.00 -> -1.24 Inexact Rounded |
|
799 |
|
800 ddqua2100 quantize 1.2500 1.00 -> 1.25 Rounded |
|
801 ddqua2101 quantize 1.2501 1.00 -> 1.26 Inexact Rounded |
|
802 ddqua2102 quantize 1.2510 1.00 -> 1.26 Inexact Rounded |
|
803 ddqua2103 quantize 1.2550 1.00 -> 1.26 Inexact Rounded |
|
804 ddqua2104 quantize 1.2551 1.00 -> 1.26 Inexact Rounded |
|
805 ddqua2107 quantize 1.2560 1.00 -> 1.26 Inexact Rounded |
|
806 ddqua2108 quantize 1.2570 1.00 -> 1.26 Inexact Rounded |
|
807 ddqua2109 quantize 1.2599 1.00 -> 1.26 Inexact Rounded |
|
808 ddqua2111 quantize -1.2599 1.00 -> -1.26 Inexact Rounded |
|
809 |
|
810 ddqua2200 quantize 1.2600 1.00 -> 1.26 Rounded |
|
811 ddqua2201 quantize 1.2601 1.00 -> 1.26 Inexact Rounded |
|
812 ddqua2202 quantize 1.2610 1.00 -> 1.26 Inexact Rounded |
|
813 ddqua2203 quantize 1.2650 1.00 -> 1.26 Inexact Rounded |
|
814 ddqua2204 quantize 1.2651 1.00 -> 1.26 Inexact Rounded |
|
815 ddqua2207 quantize 1.2660 1.00 -> 1.26 Inexact Rounded |
|
816 ddqua2208 quantize 1.2670 1.00 -> 1.26 Inexact Rounded |
|
817 ddqua2209 quantize 1.2699 1.00 -> 1.26 Inexact Rounded |
|
818 ddqua2211 quantize -1.2699 1.00 -> -1.26 Inexact Rounded |
|
819 |
|
820 ddqua2300 quantize 1.2900 1.00 -> 1.29 Rounded |
|
821 ddqua2301 quantize 1.2901 1.00 -> 1.29 Inexact Rounded |
|
822 ddqua2302 quantize 1.2910 1.00 -> 1.29 Inexact Rounded |
|
823 ddqua2303 quantize 1.2950 1.00 -> 1.29 Inexact Rounded |
|
824 ddqua2304 quantize 1.2951 1.00 -> 1.29 Inexact Rounded |
|
825 ddqua2307 quantize 1.2960 1.00 -> 1.29 Inexact Rounded |
|
826 ddqua2308 quantize 1.2970 1.00 -> 1.29 Inexact Rounded |
|
827 ddqua2309 quantize 1.2999 1.00 -> 1.29 Inexact Rounded |
|
828 ddqua2311 quantize -1.2999 1.00 -> -1.29 Inexact Rounded |
|
829 |
|
830 -- Null tests |
|
831 rounding: half_even |
|
832 ddqua998 quantize 10 # -> NaN Invalid_operation |
|
833 ddqua999 quantize # 1e10 -> NaN Invalid_operation |