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1 ------------------------------------------------------------------------ |
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2 -- inexact.decTest -- decimal inexact and rounded edge cases -- |
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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 extended: 1 |
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23 precision: 9 |
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24 rounding: half_up |
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25 maxExponent: 999 |
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26 minexponent: -999 |
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27 |
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28 inx001 add 1 1 -> 2 |
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29 inx002 add 123456789 0 -> 123456789 |
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30 inx003 add 123456789 0.0 -> 123456789 Rounded |
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31 inx004 add 123456789 0.00 -> 123456789 Rounded |
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32 inx005 add 123456789 1 -> 123456790 |
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33 inx006 add 123456789 0.1 -> 123456789 Inexact Rounded |
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34 inx007 add 123456789 0.01 -> 123456789 Inexact Rounded |
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35 inx008 add 123456789 0.001 -> 123456789 Inexact Rounded |
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36 inx009 add 123456789 0.000001 -> 123456789 Inexact Rounded |
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37 inx010 add 123456789 0.000000001 -> 123456789 Inexact Rounded |
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38 inx011 add 123456789 0.000000000001 -> 123456789 Inexact Rounded |
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39 |
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40 inx012 add 123456789 0.9 -> 123456790 Inexact Rounded |
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41 inx013 add 123456789 0.09 -> 123456789 Inexact Rounded |
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42 inx014 add 123456789 0.009 -> 123456789 Inexact Rounded |
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43 inx015 add 123456789 0.000009 -> 123456789 Inexact Rounded |
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44 inx016 add 123456789 0.000000009 -> 123456789 Inexact Rounded |
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45 inx017 add 123456789 0.000000000009 -> 123456789 Inexact Rounded |
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46 |
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47 inx021 add 1 -1 -> 0 |
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48 inx022 add 123456789 -0 -> 123456789 |
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49 inx023 add 123456789 -0.0 -> 123456789 Rounded |
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50 inx024 add 123456789 -0.00 -> 123456789 Rounded |
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51 inx025 add 123456789 -1 -> 123456788 |
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52 inx026 add 123456789 -0.1 -> 123456789 Inexact Rounded |
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53 inx027 add 123456789 -0.01 -> 123456789 Inexact Rounded |
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54 inx028 add 123456789 -0.001 -> 123456789 Inexact Rounded |
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55 inx029 add 123456789 -0.000001 -> 123456789 Inexact Rounded |
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56 inx030 add 123456789 -0.000000001 -> 123456789 Inexact Rounded |
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57 inx031 add 123456789 -0.000000000001 -> 123456789 Inexact Rounded |
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58 inx032 add 123456789 -0.9 -> 123456788 Inexact Rounded |
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59 inx033 add 123456789 -0.09 -> 123456789 Inexact Rounded |
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60 inx034 add 123456789 -0.009 -> 123456789 Inexact Rounded |
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61 inx035 add 123456789 -0.000009 -> 123456789 Inexact Rounded |
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62 inx036 add 123456789 -0.000000009 -> 123456789 Inexact Rounded |
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63 inx037 add 123456789 -0.000000000009 -> 123456789 Inexact Rounded |
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64 |
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65 inx042 add 0 123456789 -> 123456789 |
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66 inx043 add 0.0 123456789 -> 123456789 Rounded |
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67 inx044 add 0.00 123456789 -> 123456789 Rounded |
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68 inx045 add 1 123456789 -> 123456790 |
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69 inx046 add 0.1 123456789 -> 123456789 Inexact Rounded |
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70 inx047 add 0.01 123456789 -> 123456789 Inexact Rounded |
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71 inx048 add 0.001 123456789 -> 123456789 Inexact Rounded |
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72 inx049 add 0.000001 123456789 -> 123456789 Inexact Rounded |
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73 inx050 add 0.000000001 123456789 -> 123456789 Inexact Rounded |
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74 inx051 add 0.000000000001 123456789 -> 123456789 Inexact Rounded |
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75 inx052 add 0.9 123456789 -> 123456790 Inexact Rounded |
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76 inx053 add 0.09 123456789 -> 123456789 Inexact Rounded |
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77 inx054 add 0.009 123456789 -> 123456789 Inexact Rounded |
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78 inx055 add 0.000009 123456789 -> 123456789 Inexact Rounded |
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79 inx056 add 0.000000009 123456789 -> 123456789 Inexact Rounded |
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80 inx057 add 0.000000000009 123456789 -> 123456789 Inexact Rounded |
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81 |
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82 inx062 add -0 123456789 -> 123456789 |
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83 inx063 add -0.0 123456789 -> 123456789 Rounded |
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84 inx064 add -0.00 123456789 -> 123456789 Rounded |
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85 inx065 add -1 123456789 -> 123456788 |
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86 inx066 add -0.1 123456789 -> 123456789 Inexact Rounded |
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87 inx067 add -0.01 123456789 -> 123456789 Inexact Rounded |
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88 inx068 add -0.001 123456789 -> 123456789 Inexact Rounded |
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89 inx069 add -0.000001 123456789 -> 123456789 Inexact Rounded |
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90 inx070 add -0.000000001 123456789 -> 123456789 Inexact Rounded |
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91 inx071 add -0.000000000001 123456789 -> 123456789 Inexact Rounded |
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92 inx072 add -0.9 123456789 -> 123456788 Inexact Rounded |
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93 inx073 add -0.09 123456789 -> 123456789 Inexact Rounded |
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94 inx074 add -0.009 123456789 -> 123456789 Inexact Rounded |
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95 inx075 add -0.000009 123456789 -> 123456789 Inexact Rounded |
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96 inx076 add -0.000000009 123456789 -> 123456789 Inexact Rounded |
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97 inx077 add -0.000000000009 123456789 -> 123456789 Inexact Rounded |
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98 |
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99 -- some boundaries |
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100 inx081 add 999999999 0 -> 999999999 |
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101 inx082 add 0.999999999 0.000000000 -> 0.999999999 |
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102 inx083 add 999999999 1 -> 1.00000000E+9 Rounded |
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103 inx084 add 0.999999999 0.000000001 -> 1.00000000 Rounded |
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104 inx085 add 999999999 2 -> 1.00000000E+9 Inexact Rounded |
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105 inx086 add 0.999999999 0.000000002 -> 1.00000000 Inexact Rounded |
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106 inx087 add 999999999 3 -> 1.00000000E+9 Inexact Rounded |
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107 inx089 add 0.999999999 0.000000003 -> 1.00000000 Inexact Rounded |
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108 |
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109 -- minus, plus, and subtract all assumed to work like add. |
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110 |
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111 -- multiply |
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112 precision: 8 |
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113 inx101 multiply 1000 1000 -> 1000000 |
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114 inx102 multiply 9000 9000 -> 81000000 |
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115 inx103 multiply 9999 9999 -> 99980001 |
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116 inx104 multiply 1000 10000 -> 10000000 |
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117 inx105 multiply 10000 10000 -> 1.0000000E+8 Rounded |
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118 inx106 multiply 10001 10000 -> 1.0001000E+8 Rounded |
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119 inx107 multiply 10001 10001 -> 1.0002000E+8 Inexact Rounded |
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120 inx108 multiply 10101 10001 -> 1.0102010E+8 Inexact Rounded |
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121 inx109 multiply 10001 10101 -> 1.0102010E+8 Inexact Rounded |
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122 |
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123 -- divide |
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124 precision: 4 |
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125 inx201 divide 1000 1000 -> 1 |
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126 inx202 divide 1000 1 -> 1000 |
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127 inx203 divide 1000 2 -> 500 |
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128 inx204 divide 1000 3 -> 333.3 Inexact Rounded |
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129 inx205 divide 1000 4 -> 250 |
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130 inx206 divide 1000 5 -> 200 |
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131 inx207 divide 1000 6 -> 166.7 Inexact Rounded |
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132 inx208 divide 1000 7 -> 142.9 Inexact Rounded |
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133 inx209 divide 1000 8 -> 125 |
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134 inx210 divide 1000 9 -> 111.1 Inexact Rounded |
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135 inx211 divide 1000 10 -> 100 |
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136 |
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137 inx220 divide 1 1 -> 1 |
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138 inx221 divide 1 2 -> 0.5 |
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139 inx222 divide 1 4 -> 0.25 |
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140 inx223 divide 1 8 -> 0.125 |
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141 inx224 divide 1 16 -> 0.0625 |
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142 inx225 divide 1 32 -> 0.03125 |
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143 inx226 divide 1 64 -> 0.01563 Inexact Rounded |
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144 inx227 divide 1 128 -> 0.007813 Inexact Rounded |
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145 |
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146 precision: 5 |
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147 inx230 divide 1 1 -> 1 |
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148 inx231 divide 1 2 -> 0.5 |
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149 inx232 divide 1 4 -> 0.25 |
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150 inx233 divide 1 8 -> 0.125 |
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151 inx234 divide 1 16 -> 0.0625 |
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152 inx235 divide 1 32 -> 0.03125 |
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153 inx236 divide 1 64 -> 0.015625 |
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154 inx237 divide 1 128 -> 0.0078125 |
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155 |
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156 precision: 3 |
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157 inx240 divide 1 1 -> 1 |
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158 inx241 divide 1 2 -> 0.5 |
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159 inx242 divide 1 4 -> 0.25 |
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160 inx243 divide 1 8 -> 0.125 |
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161 inx244 divide 1 16 -> 0.0625 |
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162 inx245 divide 1 32 -> 0.0313 Inexact Rounded |
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163 inx246 divide 1 64 -> 0.0156 Inexact Rounded |
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164 inx247 divide 1 128 -> 0.00781 Inexact Rounded |
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165 |
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166 precision: 2 |
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167 inx250 divide 1 1 -> 1 |
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168 inx251 divide 1 2 -> 0.5 |
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169 inx252 divide 1 4 -> 0.25 |
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170 inx253 divide 1 8 -> 0.13 Inexact Rounded |
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171 inx254 divide 1 16 -> 0.063 Inexact Rounded |
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172 inx255 divide 1 32 -> 0.031 Inexact Rounded |
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173 inx256 divide 1 64 -> 0.016 Inexact Rounded |
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174 inx257 divide 1 128 -> 0.0078 Inexact Rounded |
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175 |
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176 precision: 1 |
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177 inx260 divide 1 1 -> 1 |
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178 inx261 divide 1 2 -> 0.5 |
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179 inx262 divide 1 4 -> 0.3 Inexact Rounded |
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180 inx263 divide 1 8 -> 0.1 Inexact Rounded |
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181 inx264 divide 1 16 -> 0.06 Inexact Rounded |
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182 inx265 divide 1 32 -> 0.03 Inexact Rounded |
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183 inx266 divide 1 64 -> 0.02 Inexact Rounded |
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184 inx267 divide 1 128 -> 0.008 Inexact Rounded |
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185 |
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186 |
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187 -- power |
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188 precision: 4 |
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189 inx301 power 0.5 2 -> 0.25 |
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190 inx302 power 0.5 4 -> 0.0625 |
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191 inx303 power 0.5 8 -> 0.003906 Inexact Rounded |
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192 inx304 power 0.5 16 -> 0.00001526 Inexact Rounded |
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193 inx305 power 0.5 32 -> 2.328E-10 Inexact Rounded |
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194 |
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195 -- compare, divideInteger, and remainder are always exact |
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196 |
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197 -- rescale |
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198 precision: 4 |
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199 inx401 rescale 0 0 -> 0 |
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200 inx402 rescale 1 0 -> 1 |
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201 inx403 rescale 0.1 +2 -> 0E+2 Inexact Rounded |
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202 inx404 rescale 0.1 +1 -> 0E+1 Inexact Rounded |
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203 inx405 rescale 0.1 0 -> 0 Inexact Rounded |
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204 inx406 rescale 0.1 -1 -> 0.1 |
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205 inx407 rescale 0.1 -2 -> 0.10 |
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206 |
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207 -- long operands cause rounding too |
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208 precision: 9 |
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209 inx801 plus 123456789 -> 123456789 |
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210 inx802 plus 1234567890 -> 1.23456789E+9 Rounded |
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211 inx803 plus 1234567891 -> 1.23456789E+9 Inexact Rounded |
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212 inx804 plus 1234567892 -> 1.23456789E+9 Inexact Rounded |
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213 inx805 plus 1234567899 -> 1.23456790E+9 Inexact Rounded |
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214 inx806 plus 1234567900 -> 1.23456790E+9 Rounded |
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215 |