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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: 2.59
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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 |
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