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12 | <h1><img src="../../boost.png" alt="boost.png (6897 bytes)" align="middle" WIDTH="277" HEIGHT="86">Smart Pointer Timings</h1> |
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13 | |
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14 | <p>In late January 2000, Mark Borgerding put forward a suggestion to boost for |
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15 | a new design of smart pointer whereby an intrusive doubly linked list is used |
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16 | to join together all instances of smart pointers sharing a given raw pointer. |
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17 | This allowed avoidance of the costly heap allocation of a reference count that |
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18 | occurred in the initial construction of the then current version of boost::shared_ptr. |
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19 | Of course, nothing is for free and the benefit here was gained at the expense |
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20 | of increased size and more costly copy operations. A debate ensued on the boost |
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21 | mailing list and the tests which this page describes were performed to provide |
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22 | a guide for current and future investigations into smart pointer implementation |
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23 | strategies.</p> |
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24 | <p>Thanks are due to <a href="../../people/dave_abrahams.htm">Dave Abrahams</a>, |
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25 | Gavin Collings, |
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26 | <a href="../../people/greg_colvin.htm">Greg Colvin</a> and |
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27 | <a href="../../people/beman_dawes.html">Beman Dawes</a> |
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28 | for test code and trial implementations, the final version of which can be found |
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29 | in .zip format <a href="smarttest.zip">here</a>.</p> |
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30 | <h2>Description</h2> |
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31 | <p>Two tests were run: the first aimed to obtain timings for two basic individual |
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32 | operations:</p> |
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33 | <ol type="i"> |
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34 | <li> Initial construction from raw pointer.</li> |
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35 | <li> An amortized copy operation consisting of half an assignment and half a |
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36 | copy construction - designed to reflect average usage.</li> |
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37 | </ol> |
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38 | <p>The second attempted to gain more insight into normal usage by timing the fill |
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39 | and sort algorithms for vectors and lists filled with the various smart pointers.</p> |
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40 | <p>Five smart pointer implementation strategies were tested:</p> |
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41 | <ol type="i"> |
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42 | <li>Counted pointer using a heap allocated reference count, this is referred |
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43 | to as <b>simple counted</b>.</li> |
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44 | <li>Counted pointer using a special purpose allocator for the reference count |
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45 | - <b>special counted</b>.</li> |
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46 | <li>Counted pointer using an intrusive reference count - <b>intrusive</b>.</li> |
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47 | <li>Linked pointer as described above - <b>linked</b>.</li> |
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48 | <li>Cyclic pointer, a counted implementation using a std::deque for allocation |
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49 | with provision for weak pointers and garbage collection of cycles of pointers |
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50 | - <b>cyclic</b>.</li> |
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51 | </ol> |
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52 | <p>on two compilers:</p> |
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53 | <ol type="i"> |
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54 | <li>MSVC 6.0 service pack 3, using default release optimization mode (/O2 - |
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55 | optimized for speed, no inlining of functions defined outside a class body |
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56 | unless specified as inline).</li> |
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57 | <li>gcc 2.95.2 using full optimization (-O3 -DNDEBUG).</li> |
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58 | </ol> |
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59 | <p>Additionally, generated pointer sizes (taking into account struct alignment) |
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60 | were compared, as were generated code sizes for MSVC mainly by manual inspection |
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61 | of generated assembly code - a necessity due to function inlining.</p> |
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62 | <p>All tests were run on a PII-200 running Windows NT version 4.0</p> |
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63 | <h2> </h2> |
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64 | <h2>Operation Timing Test Results</h2> |
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65 | <p>The following graphs show the overall time in nanoseconds to acquire a pointer |
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66 | (default construction) perform n amortized copy operations on it and finally |
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67 | release it. The initial allocation time for the contained pointer is not included, |
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68 | although the time for it's deallocation is. The contained pointer pointed to |
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69 | a trivial class, but for the inclusion of an intrusive reference count for the |
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70 | benefit of the intrusive counted shared pointer. A dumb pointer (i.e. a smart |
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71 | pointer that simply acquires and releases its contained pointer with no extra |
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72 | overhead) and a raw pointer were also included for comparison.</p> |
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73 | <table border="0" align="center"> |
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74 | <tr> |
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75 | <td width="20" height="20"> </td> |
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76 | <td> </td> |
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77 | <td width="20"> </td> |
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78 | </tr> |
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79 | <tr> |
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80 | <td width="20"> </td> |
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81 | <td><img src="msvcspeed.gif" width="560" height="355" alt="MSVC speed graph"></td> |
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82 | <td width="20"> </td> |
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83 | </tr> |
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84 | <tr> |
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85 | <td height="20"> </td> |
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86 | <td> </td> |
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87 | <td> </td> |
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88 | </tr> |
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89 | <tr> |
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90 | <td> </td> |
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91 | <td><img src="gccspeed.gif" width="560" height="355" alt="GCC speed graph"></td> |
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92 | <td> </td> |
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93 | </tr> |
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94 | <tr> |
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95 | <td height="20"> </td> |
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96 | <td> </td> |
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97 | <td> </td> |
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98 | </tr> |
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99 | </table> |
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100 | <p> </p> |
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101 | <p>Fitting straight lines to the above plots gives the following figures for initialization |
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102 | and amortized copy operation for the two compilers (times in nanoseconds, errors |
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103 | at two standard deviations) : -</p> |
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104 | <p> </p> |
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105 | <h4 align="center">MSVC</h4> |
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106 | <table align="center" cellpadding="5" cellspacing="0" class="codetable" width="400"> |
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107 | <tr> |
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108 | <th width="120"> |
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109 | <div align="right"></div> |
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110 | </th> |
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111 | <th class="codetabletop" width="120"> |
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112 | <div align="center">initialization</div> |
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113 | </th> |
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114 | <th class="codetabletop" width="120">copy operation</th> |
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115 | </tr> |
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116 | <tr> |
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117 | <th class="codetableleft"> |
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118 | <div align="right">simple counted</div> |
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119 | </th> |
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120 | <td class="codetablecell" align="center">3000 +/- 170</td> |
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121 | <td class="codetablecell" align="center">104 +/- 31</td> |
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122 | </tr> |
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123 | <tr> |
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124 | <th class="codetableleft"> |
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125 | <div align="right">special counted</div> |
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126 | </th> |
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127 | <td class="codetablecell" align="center">1330 +/- 50</td> |
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128 | <td class="codetablecell" align="center">85 +/- 9</td> |
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129 | </tr> |
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130 | <tr> |
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131 | <th class="codetableleft"> |
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132 | <div align="right">intrusive</div> |
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133 | </th> |
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134 | <td class="codetablecell" align="center">1000 +/- 20</td> |
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135 | <td class="codetablecell" align="center">71 +/- 3</td> |
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136 | </tr> |
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137 | <tr> |
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138 | <th class="codetableleft" align="right">linked</th> |
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139 | <td class="codetablecell" align="center">970 +/- 60</td> |
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140 | <td class="codetablecell" align="center">136 +/- 10</td> |
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141 | </tr> |
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142 | <tr> |
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143 | <th class="codetableleft" align="right">cyclic</th> |
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144 | <td class="codetablecell" align="center">1290 +/- 70</td> |
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145 | <td class="codetablecell" align="center">112 +/- 12</td> |
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146 | </tr> |
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147 | <tr> |
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148 | <th class="codetableleft" align="right">dumb</th> |
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149 | <td class="codetablecell" align="center">1020 +/- 20</td> |
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150 | <td class="codetablecell" align="center">10 +/- 4</td> |
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151 | </tr> |
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152 | <tr> |
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153 | <th class="codetableleft"> |
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154 | <div align="right">raw</div> |
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155 | </th> |
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156 | <td class="codetablecell" align="center">1038 +/- 30</td> |
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157 | <td class="codetablecell" align="center">10 +/- 5</td> |
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158 | </tr> |
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159 | </table> |
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160 | <h4 align="center"> </h4> |
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161 | <h4 align="center">GCC</h4> |
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162 | <table align="center" cellpadding="5" cellspacing="0" class="codetable" width="400"> |
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163 | <tr> |
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164 | <th width="120"> |
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165 | <div align="right"></div> |
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166 | </th> |
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167 | <th class="codetabletop" width="120"> |
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168 | <div align="center">initialization</div> |
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169 | </th> |
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170 | <th class="codetabletop" width="120">copy operation</th> |
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171 | </tr> |
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172 | <tr> |
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173 | <th class="codetableleft"> |
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174 | <div align="right">simple counted</div> |
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175 | </th> |
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176 | <td class="codetablecell" align="center">4620 +/- 150</td> |
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177 | <td class="codetablecell" align="center">301 +/- 28</td> |
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178 | </tr> |
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179 | <tr> |
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180 | <th class="codetableleft"> |
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181 | <div align="right">special counted</div> |
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182 | </th> |
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183 | <td class="codetablecell" align="center">1990 +/- 40</td> |
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184 | <td class="codetablecell" align="center">264 +/- 7</td> |
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185 | </tr> |
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186 | <tr> |
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187 | <th class="codetableleft"> |
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188 | <div align="right">intrusive</div> |
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189 | </th> |
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190 | <td class="codetablecell" align="center">1590 +/- 70</td> |
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191 | <td class="codetablecell" align="center">181 +/- 12</td> |
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192 | </tr> |
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193 | <tr> |
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194 | <th class="codetableleft" align="right">linked</th> |
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195 | <td class="codetablecell" align="center">1470 +/- 140</td> |
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196 | <td class="codetablecell" align="center">345 +/- 26</td> |
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197 | </tr> |
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198 | <tr> |
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199 | <th class="codetableleft" align="right">cyclic</th> |
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200 | <td class="codetablecell" align="center">2180 +/- 100</td> |
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201 | <td class="codetablecell" align="center">330 +/- 18</td> |
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202 | </tr> |
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203 | <tr> |
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204 | <th class="codetableleft" align="right">dumb</th> |
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205 | <td class="codetablecell" align="center">1590 +/- 70</td> |
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206 | <td class="codetablecell" align="center">74 +/- 12</td> |
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207 | </tr> |
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208 | <tr> |
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209 | <th class="codetableleft" align="right"> |
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210 | <div align="right">raw</div> |
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211 | </th> |
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212 | <td class="codetablecell" align="center">1430 +/- 60</td> |
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213 | <td class="codetablecell" align="center">27 +/- 11</td> |
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214 | </tr> |
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215 | </table> |
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216 | <p>Note that the above times include a certain amount of loop overhead etc. for |
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217 | each operation. An estimate of the pure smart pointer operation time 'overhead' |
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218 | can be obtained by subtracting the dumb or raw figure from the smart pointer |
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219 | time of interest.</p> |
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220 | <h3>Detail</h3> |
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221 | <p>The test involved iterating a loop which creates raw pointers. These were then |
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222 | shared among a varying number (set size) of smart pointers. A range of set sizes |
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223 | was used and then a line fitted to get a linear relation with number of initializations |
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224 | and copy-operations. A spreadsheet was used for the line fit, and to produce |
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225 | the performance graphs above.</p> |
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226 | <h2> </h2> |
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227 | <h2>Container Test Results</h2> |
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228 | <p>To gain some insight in to operation within real life programs, this test was |
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229 | devised. Smart pointers were used to fill standard containers which were then |
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230 | sorted.</p> |
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231 | <p>In this case, the contained pointer pointed to a class which initializes a |
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232 | private data member to a random value in its default constructor. This value |
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233 | is used subsequently for the sort comparison test. The class also contains an |
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234 | intrusive reference count for the benefit of the intrusive counted pointer.</p> |
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235 | <p> All times are in seconds for 300,000 contained pointers.</p> |
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236 | <h4 align="center">GCC</h4> |
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237 | <table align="center" cellpadding="5" cellspacing="0" class="codetable" width="500"> |
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238 | <tr> |
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239 | <th> </th> |
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240 | <th class="codetabletop" colspan="2">vector</th> |
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241 | <th class="codetabletop" colspan="2">list</th> |
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242 | </tr> |
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243 | <tr> |
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244 | <th width="120"> |
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245 | <div align="right"></div> |
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246 | </th> |
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247 | <th class="codetabletop2" width="80"> |
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248 | <div align="center">fill</div> |
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249 | </th> |
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250 | <th class="codetabletop2" width="80">sort</th> |
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251 | <th class="codetabletop2" width="80">fill</th> |
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252 | <th class="codetabletop2" width="80">sort</th> |
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253 | </tr> |
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254 | <tr> |
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255 | <th class="codetableleft"> |
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256 | <div align="right">simple counted</div> |
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257 | </th> |
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258 | <td class="codetablecell" align="center">46.54</td> |
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259 | <td class="codetablecell" align="center">2.44</td> |
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260 | <td class="codetablecell" align="center">47.09</td> |
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261 | <td class="codetablecell" align="center">3.22</td> |
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262 | </tr> |
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263 | <tr> |
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264 | <th class="codetableleft"> |
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265 | <div align="right">special counted</div> |
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266 | </th> |
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267 | <td class="codetablecell" align="center">14.02</td> |
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268 | <td class="codetablecell" align="center">2.83</td> |
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269 | <td class="codetablecell" align="center">7.28</td> |
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270 | <td class="codetablecell" align="center">3.21</td> |
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271 | </tr> |
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272 | <tr> |
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273 | <th class="codetableleft"> |
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274 | <div align="right">intrusive</div> |
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275 | </th> |
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276 | <td class="codetablecell" align="center">12.15</td> |
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277 | <td class="codetablecell" align="center">1.91</td> |
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278 | <td class="codetablecell" align="center">7.99</td> |
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279 | <td class="codetablecell" align="center">3.08</td> |
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280 | </tr> |
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281 | <tr> |
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282 | <th class="codetableleft" align="right">linked</th> |
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283 | <td class="codetablecell" align="center">12.46</td> |
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284 | <td class="codetablecell" align="center">2.32</td> |
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285 | <td class="codetablecell" align="center">8.14</td> |
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286 | <td class="codetablecell" align="center">3.27</td> |
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287 | </tr> |
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288 | <tr> |
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289 | <th class="codetableleft" align="right">cyclic</th> |
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290 | <td class="codetablecell" align="center">22.60</td> |
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291 | <td class="codetablecell" align="center">3.19</td> |
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292 | <td class="codetablecell" align="center">1.63</td> |
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293 | <td class="codetablecell" align="center">3.18</td> |
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294 | </tr> |
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295 | <tr> |
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296 | <th class="codetableleft" align="right"> |
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297 | <div align="right">raw</div> |
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298 | </th> |
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299 | <td class="codetablecell" align="center">11.81</td> |
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300 | <td class="codetablecell" align="center">0.24</td> |
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301 | <td class="codetablecell" align="center">27.51</td> |
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302 | <td class="codetablecell" align="center">0.77</td> |
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303 | </tr> |
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304 | </table> |
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305 | <p> </p> |
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306 | <h4 align="center">MSVC</h4> |
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307 | <table align="center" cellpadding="5" cellspacing="0" class="codetable" width="500"> |
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308 | <tr> |
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309 | <th> </th> |
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310 | <th class="codetabletop" colspan="2">vector</th> |
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311 | <th class="codetabletop" colspan="2">list</th> |
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312 | </tr> |
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313 | <tr> |
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314 | <th width="120"> |
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315 | <div align="right"></div> |
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316 | </th> |
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317 | <th class="codetabletop2" width="80"> |
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318 | <div align="center">fill</div> |
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319 | </th> |
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320 | <th class="codetabletop2" width="80">sort</th> |
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321 | <th class="codetabletop2" width="80">fill</th> |
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322 | <th class="codetabletop2" width="80">sort</th> |
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323 | </tr> |
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324 | <tr> |
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325 | <th class="codetableleft"> |
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326 | <div align="right">simple counted</div> |
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327 | </th> |
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328 | <td class="codetablecell" align="center">1.83</td> |
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329 | <td class="codetablecell" align="center">2.37</td> |
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330 | <td class="codetablecell" align="center">1.86</td> |
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331 | <td class="codetablecell" align="center">4.85</td> |
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332 | </tr> |
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333 | <tr> |
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334 | <th class="codetableleft"> |
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335 | <div align="right">special counted</div> |
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336 | </th> |
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337 | <td class="codetablecell" align="center">1.04</td> |
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338 | <td class="codetablecell" align="center">2.35</td> |
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339 | <td class="codetablecell" align="center">1.38</td> |
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340 | <td class="codetablecell" align="center">4.58</td> |
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341 | </tr> |
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342 | <tr> |
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343 | <th class="codetableleft"> |
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344 | <div align="right">intrusive</div> |
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345 | </th> |
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346 | <td class="codetablecell" align="center">1.04</td> |
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347 | <td class="codetablecell" align="center">1.84</td> |
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348 | <td class="codetablecell" align="center">1.16</td> |
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349 | <td class="codetablecell" align="center">4.29</td> |
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350 | </tr> |
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351 | <tr> |
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352 | <th class="codetableleft" align="right">linked</th> |
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353 | <td class="codetablecell" align="center">1.08</td> |
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354 | <td class="codetablecell" align="center">2.00</td> |
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355 | <td class="codetablecell" align="center">1.21</td> |
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356 | <td class="codetablecell" align="center">4.33</td> |
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357 | </tr> |
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358 | <tr> |
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359 | <th class="codetableleft" align="right">cyclic</th> |
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360 | <td class="codetablecell" align="center">1.38</td> |
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361 | <td class="codetablecell" align="center">2.84</td> |
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362 | <td class="codetablecell" align="center">1.47</td> |
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363 | <td class="codetablecell" align="center">4.73</td> |
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364 | </tr> |
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365 | <tr> |
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366 | <th class="codetableleft" align="right"> |
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367 | <div align="right">raw</div> |
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368 | </th> |
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369 | <td class="codetablecell" align="center">0.67</td> |
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370 | <td class="codetablecell" align="center">0.28</td> |
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371 | <td class="codetablecell" align="center">1.24</td> |
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372 | <td class="codetablecell" align="center">1.81</td> |
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373 | </tr> |
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374 | </table> |
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375 | <p> </p> |
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376 | <h2>Code Size</h2> |
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377 | <p>The following code sizes were determined by inspection of generated code for |
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378 | MSVC only. Sizes are given in the form N / M / I where:</p> |
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379 | <ul type="circle"> |
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380 | <li> N is the instruction count of the operation</li> |
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381 | <li>M is the size of the code in bytes</li> |
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382 | <li>I determines whether generated code was inlined or not I = inline, O = "outline"</li> |
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383 | </ul> |
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384 | <p> </p> |
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385 | <table align="center" cellpadding="5" cellspacing="0" class="codetable" width="570"> |
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386 | <tr> |
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387 | <th height="28" width="140"> |
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388 | <div align="right"></div> |
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389 | </th> |
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390 | <th height="28" class="codetabletop" width="80"> |
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391 | <div align="center">ptr()</div> |
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392 | </th> |
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393 | <th height="28" class="codetabletop" width="80">ptr(p)</th> |
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394 | <th height="28" class="codetabletop" width="80">ptr(ptr)</th> |
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395 | <th height="28" class="codetabletop" width="80">op=()</th> |
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396 | <th height="28" class="codetabletop" width="80"> |
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397 | <div align="center">~ptr()</div> |
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398 | </th> |
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399 | </tr> |
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400 | <tr> |
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401 | <th class="codetableleft"> |
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402 | <div align="right">simple counted</div> |
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403 | </th> |
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404 | <td class="codetablecell" align="center">38/110/O</td> |
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405 | <td class="codetablecell" align="center">38/110/O</td> |
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406 | <td class="codetablecell" align="center">9/23/I</td> |
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407 | <td class="codetablecell" align="center">22/57/I</td> |
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408 | <td class="codetablecell" align="center">17/40/I</td> |
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409 | </tr> |
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410 | <tr> |
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411 | <th class="codetableleft"> |
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412 | <div align="right">special counted</div> |
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413 | </th> |
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414 | <td class="codetablecell" align="center"><font size="-1">50/141/O</font></td> |
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415 | <td class="codetablecell" align="center"><font size="-1">50/141/O</font></td> |
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416 | <td class="codetablecell" align="center"><font size="-1">9/23/I</font></td> |
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417 | <td class="codetablecell" align="center"><font size="-1">23/64/I</font></td> |
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418 | <td class="codetablecell" align="center"><font size="-1">13/38/I</font></td> |
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419 | </tr> |
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420 | <tr> |
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421 | <th class="codetableleft"> |
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422 | <div align="right">intrusive</div> |
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423 | </th> |
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424 | <td class="codetablecell" align="center"><font size="-1">1/2/I</font></td> |
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425 | <td class="codetablecell" align="center"><font size="-1">3/6/I</font></td> |
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426 | <td class="codetablecell" align="center"><font size="-1">3/6/I</font></td> |
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427 | <td class="codetablecell" align="center"><font size="-1">6/11/I</font></td> |
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428 | <td class="codetablecell" align="center"><font size="-1">6/11/I</font></td> |
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429 | </tr> |
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430 | <tr> |
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431 | <th class="codetableleft"> |
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432 | <div align="right">linked</div> |
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433 | </th> |
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434 | <td class="codetablecell" align="center"><font size="-1">5/19/I</font></td> |
---|
435 | <td class="codetablecell" align="center"><font size="-1">5/15/I</font></td> |
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436 | <td class="codetablecell" align="center"><font size="-1">10/30/I</font></td> |
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437 | <td class="codetablecell" align="center"><font size="-1">27/59/I</font></td> |
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438 | <td class="codetablecell" align="center"><font size="-1">14/38/I</font></td> |
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439 | </tr> |
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440 | </table> |
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441 | <p>During the code inspection, a couple of minor points were noticed: -</p> |
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442 | <ul> |
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443 | <li>Function inlining was critical to performance.</li> |
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444 | <li>For MSVC, at least, a "delete 0" caused execution of 11 assembly |
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445 | instructions, including a function call. So in cases where performance is |
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446 | at an absolute premium it can be worth inserting the extra manual test.</li> |
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447 | </ul> |
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448 | <h2> </h2> |
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449 | <h2>Data Size</h2> |
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450 | <p>The following smart pointer sizes were obtained in bytes</p> |
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451 | <table align="center" cellpadding="5" cellspacing="0" class="codetable" width="270"> |
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452 | <tr> |
---|
453 | <th height="28" width="150"> |
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454 | <div align="right"></div> |
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455 | </th> |
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456 | <th height="28" class="codetabletop" width="60"> |
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457 | <div align="center">MSVC</div> |
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458 | </th> |
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459 | <th height="28" class="codetabletop" width="60"> |
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460 | <div align="center">GCC</div> |
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461 | </th> |
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462 | </tr> |
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463 | <tr> |
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464 | <th class="codetableleft"> |
---|
465 | <div align="right">simple counted</div> |
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466 | </th> |
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467 | <td class="codetablecell"> |
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468 | <div align="center">8</div> |
---|
469 | </td> |
---|
470 | <td class="codetablecell"> |
---|
471 | <div align="center">8</div> |
---|
472 | </td> |
---|
473 | </tr> |
---|
474 | <tr> |
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475 | <th class="codetableleft"> |
---|
476 | <div align="right">special counted</div> |
---|
477 | </th> |
---|
478 | <td class="codetablecell"> |
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479 | <div align="center">8</div> |
---|
480 | </td> |
---|
481 | <td class="codetablecell"> |
---|
482 | <div align="center">12</div> |
---|
483 | </td> |
---|
484 | </tr> |
---|
485 | <tr> |
---|
486 | <th class="codetableleft"> |
---|
487 | <div align="right">intrusive</div> |
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488 | </th> |
---|
489 | <td class="codetablecell"> |
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490 | <div align="center">4</div> |
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491 | </td> |
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492 | <td class="codetablecell"> |
---|
493 | <div align="center">4</div> |
---|
494 | </td> |
---|
495 | </tr> |
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496 | <tr> |
---|
497 | <th class="codetableleft"> |
---|
498 | <div align="right">linked</div> |
---|
499 | </th> |
---|
500 | <td class="codetablecell"> |
---|
501 | <div align="center">12</div> |
---|
502 | </td> |
---|
503 | <td class="codetablecell"> |
---|
504 | <div align="center">12</div> |
---|
505 | </td> |
---|
506 | </tr> |
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507 | <tr> |
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508 | <th class="codetableleft"> |
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509 | <div align="right">cyclic</div> |
---|
510 | </th> |
---|
511 | <td class="codetablecell"> |
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512 | <div align="center">8</div> |
---|
513 | </td> |
---|
514 | <td class="codetablecell"> |
---|
515 | <div align="center">8</div> |
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516 | </td> |
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517 | </tr> |
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518 | </table> |
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519 | <h2> </h2> |
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520 | <h2>Summary</h2> |
---|
521 | <p>The timing results mainly speak for themselves: clearly an intrusive pointer |
---|
522 | outperforms all others and a simple heap based counted pointer has poor performance |
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523 | relative to other implementations. The selection of an optimal non-intrusive |
---|
524 | smart pointer implementation is more application dependent, however. Where small |
---|
525 | numbers of copies are expected, it is likely that the linked implementation |
---|
526 | will be favoured. Conversely, for larger numbers of copies a counted pointer |
---|
527 | with some type of special purpose allocator looks like a win. Other factors |
---|
528 | to bear in mind are: -</p> |
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529 | <ul> |
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530 | <li>Deterministic individual, as opposed to amortized, operation time. This |
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531 | weighs against any implementation depending on an allocator.</li> |
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532 | <li>Multithreaded synchronization. This weighs against an implementation which |
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533 | spreads its information as in the case of linked pointer.</li> |
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534 | </ul> |
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535 | <hr> |
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536 | <p>Revised <!--webbot bot="Timestamp" S-Type="EDITED" S-Format="%d %B %Y" startspan -->19 August 2001<!--webbot bot="Timestamp" endspan i-checksum="14767" --> |
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537 | </p> |
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538 | <p>© Copyright Gavin Collings 2000. Permission to copy, use, modify, sell |
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539 | and distribute this document is granted provided this copyright notice appears in all |
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540 | copies. This document is provided "as is" without express or implied warranty, |
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541 | and with no claim as to its suitability for any purpose.</p> |
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542 | </body> |
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543 | </html> |
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