<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.5"/>
<title>Faiss: PolysemousTraining.cpp Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/search.js"></script>
<script type="text/javascript">
  $(document).ready(function() { searchBox.OnSelectItem(0); });
</script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
 <tbody>
 <tr style="height: 56px;">
  <td style="padding-left: 0.5em;">
   <div id="projectname">Faiss
   </div>
  </td>
 </tr>
 </tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.5 -->
<script type="text/javascript">
var searchBox = new SearchBox("searchBox", "search",false,'Search');
</script>
  <div id="navrow1" class="tabs">
    <ul class="tablist">
      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
      <li><a href="annotated.html"><span>Classes</span></a></li>
      <li class="current"><a href="files.html"><span>Files</span></a></li>
      <li>
        <div id="MSearchBox" class="MSearchBoxInactive">
        <span class="left">
          <img id="MSearchSelect" src="search/mag_sel.png"
               onmouseover="return searchBox.OnSearchSelectShow()"
               onmouseout="return searchBox.OnSearchSelectHide()"
               alt=""/>
          <input type="text" id="MSearchField" value="Search" accesskey="S"
               onfocus="searchBox.OnSearchFieldFocus(true)" 
               onblur="searchBox.OnSearchFieldFocus(false)" 
               onkeyup="searchBox.OnSearchFieldChange(event)"/>
          </span><span class="right">
            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
          </span>
        </div>
      </li>
    </ul>
  </div>
  <div id="navrow2" class="tabs2">
    <ul class="tablist">
      <li><a href="files.html"><span>File&#160;List</span></a></li>
    </ul>
  </div>
</div><!-- top -->
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
     onmouseover="return searchBox.OnSearchSelectShow()"
     onmouseout="return searchBox.OnSearchSelectHide()"
     onkeydown="return searchBox.OnSearchSelectKey(event)">
<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Classes</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Namespaces</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Friends</a></div>

<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0" 
        name="MSearchResults" id="MSearchResults">
</iframe>
</div>

<div class="header">
  <div class="headertitle">
<div class="title">PolysemousTraining.cpp</div>  </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">/**</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * Copyright (c) 2015-present, Facebook, Inc.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * All rights reserved.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * This source code is licensed under the CC-by-NC license found in the</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * LICENSE file in the root directory of this source tree.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &quot;PolysemousTraining.h&quot;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;cstdlib&gt;</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;cstring&gt;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &quot;utils.h&quot;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &quot;hamming.h&quot;</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &quot;FaissAssert.h&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">/*****************************************</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment"> * Mixed PQ / Hamming</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment"> ******************************************/</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span>faiss {</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment">/****************************************************</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment"> * Optimization code</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment"> ****************************************************/</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;SimulatedAnnealingParameters::SimulatedAnnealingParameters ()</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;{</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="comment">// set some reasonable defaults for the optimization</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    init_temperature = 0.7;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    temperature_decay = pow (0.9, 1/500.);</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="comment">// reduce by a factor 0.9 every 500 it</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    n_iter = 500000;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    n_redo = 2;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    seed = 123;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    verbose = 0;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    only_bit_flips = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    init_random = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;}</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">// what would the cost update be if iw and jw were swapped?</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="comment">// default implementation just computes both and computes the difference</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="keywordtype">double</span> PermutationObjective::cost_update (</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw)<span class="keyword"> const</span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keywordtype">double</span> orig_cost = compute_cost (perm);</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    std::vector&lt;int&gt; perm2 (n);</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++)</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        perm2[i] = perm[i];</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    perm2[iw] = perm[jw];</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    perm2[jw] = perm[iw];</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    <span class="keywordtype">double</span> new_cost = compute_cost (perm2.data());</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    <span class="keywordflow">return</span> new_cost - orig_cost;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;}</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="structfaiss_1_1SimulatedAnnealingOptimizer.html#ab258eaf892742e37dd2c3bfd3b1c39e1">   68</a></span>&#160;<a class="code" href="structfaiss_1_1SimulatedAnnealingOptimizer.html#ab258eaf892742e37dd2c3bfd3b1c39e1">SimulatedAnnealingOptimizer::SimulatedAnnealingOptimizer</a> (</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <a class="code" href="structfaiss_1_1PermutationObjective.html">PermutationObjective</a> *obj,</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> <a class="code" href="structfaiss_1_1SimulatedAnnealingParameters.html">SimulatedAnnealingParameters</a> &amp;p):</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <a class="code" href="structfaiss_1_1SimulatedAnnealingParameters.html">SimulatedAnnealingParameters</a> (p),</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    obj (obj),</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    n(obj-&gt;n),</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    logfile (nullptr)</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;{</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    rnd = <span class="keyword">new</span> <a class="code" href="structfaiss_1_1RandomGenerator.html">RandomGenerator</a> (p.seed);</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    FAISS_ASSERT (n &lt; 100000 &amp;&amp; n &gt;=0 );</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;}</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;SimulatedAnnealingOptimizer::~SimulatedAnnealingOptimizer ()</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;{</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    <span class="keyword">delete</span> rnd;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;}</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="comment">// run the optimization and return the best result in best_perm</span></div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="keywordtype">double</span> SimulatedAnnealingOptimizer::run_optimization (<span class="keywordtype">int</span> * best_perm)</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;{</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    <span class="keywordtype">double</span> min_cost = 1e30;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    <span class="comment">// just do a few runs of the annealing and keep the lowest output cost</span></div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> it = 0; it &lt; n_redo; it++) {</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        std::vector&lt;int&gt; perm(n);</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1SimulatedAnnealingOptimizer.html#a90edfc401372aa1a2a832b403e26bfd1">n</a>; i++)</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;            perm[i] = i;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;         <span class="keywordflow">if</span> (init_random) {</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="structfaiss_1_1SimulatedAnnealingOptimizer.html#a90edfc401372aa1a2a832b403e26bfd1">n</a>; i++) {</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                <span class="keywordtype">int</span> j = i + rnd-&gt;<a class="code" href="structfaiss_1_1RandomGenerator.html#a583f124ecacdbe037ac96e23a44dd420">rand_int</a> (n - i);</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                std::swap (perm[i], perm[j]);</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            }</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        }</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;         <span class="keywordtype">float</span> cost = optimize (perm.data());</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordflow">if</span> (logfile) fprintf (logfile, <span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">if</span>(verbose &gt; 1) {</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            printf (<span class="stringliteral">&quot;    optimization run %d: cost=%g %s\n&quot;</span>,</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                    it, cost, cost &lt; min_cost ? <span class="stringliteral">&quot;keep&quot;</span> : <span class="stringliteral">&quot;&quot;</span>);</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        }</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">if</span> (cost &lt; min_cost) {</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;            memcpy (best_perm, perm.data(), <span class="keyword">sizeof</span>(perm[0]) * n);</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            min_cost = cost;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        }</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    }</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;     <span class="keywordflow">return</span> min_cost;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;}</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="comment">// perform the optimization loop, starting from and modifying</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="comment">// permutation in-place</span></div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="keywordtype">double</span> SimulatedAnnealingOptimizer::optimize (<span class="keywordtype">int</span> *perm)</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;{</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="keywordtype">double</span> cost = <a class="code" href="structfaiss_1_1SimulatedAnnealingOptimizer.html#aa8ff19f97482c6213b2a8ff3b190412b">init_cost</a> = obj-&gt;compute_cost (perm);</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keywordtype">int</span> log2n = 0;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    <span class="keywordflow">while</span> (!(n &lt;= (1 &lt;&lt; log2n))) log2n++;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="keywordtype">double</span> temperature = init_temperature;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;     <span class="keywordtype">int</span> n_swap = 0, n_hot = 0;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> it = 0; it &lt; n_iter; it++) {</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        temperature = temperature * temperature_decay;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordtype">int</span> iw, jw;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">if</span> (only_bit_flips) {</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            iw = rnd-&gt;<a class="code" href="structfaiss_1_1RandomGenerator.html#a583f124ecacdbe037ac96e23a44dd420">rand_int</a> (n);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            jw = iw ^ (1 &lt;&lt; rnd-&gt;<a class="code" href="structfaiss_1_1RandomGenerator.html#a583f124ecacdbe037ac96e23a44dd420">rand_int</a> (log2n));</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            iw = rnd-&gt;<a class="code" href="structfaiss_1_1RandomGenerator.html#a583f124ecacdbe037ac96e23a44dd420">rand_int</a> (n);</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            jw = rnd-&gt;<a class="code" href="structfaiss_1_1RandomGenerator.html#a583f124ecacdbe037ac96e23a44dd420">rand_int</a> (n - 1);</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            <span class="keywordflow">if</span> (jw == iw) jw++;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        }</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;         <span class="keywordtype">double</span> delta_cost = obj-&gt;cost_update (perm, iw, jw);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;         <span class="keywordflow">if</span> (delta_cost &lt; 0 || rnd-&gt;rand_float () &lt; temperature) {</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;            std::swap (perm[iw], perm[jw]);</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;            cost += delta_cost;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            n_swap++;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            <span class="keywordflow">if</span> (delta_cost &gt;= 0) n_hot++;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        }</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;         <span class="keywordflow">if</span> (verbose &gt; 2 || (verbose &gt; 1 &amp;&amp; it % 10000 == 0)) {</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            printf (<span class="stringliteral">&quot;      iteration %d cost %g temp %g n_swap %d &quot;</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                    <span class="stringliteral">&quot;(%d hot)     \r&quot;</span>,</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                    it, cost, temperature, n_swap, n_hot);</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;            fflush(stdout);</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        }</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <span class="keywordflow">if</span> (logfile) {</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;            fprintf (logfile, <span class="stringliteral">&quot;%d %g %g %d %d\n&quot;</span>,</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                    it, cost, temperature, n_swap, n_hot);</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        }</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;     }</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="keywordflow">if</span> (verbose &gt; 1) printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="keywordflow">return</span> cost;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;}</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;<span class="comment">/****************************************************</span></div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="comment"> * Cost functions: ReproduceDistanceTable</span></div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="comment"> ****************************************************/</span></div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;<span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">int</span> hamming_dis (uint64_t a, uint64_t b)</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;{</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    <span class="keywordflow">return</span> __builtin_popcountl (a ^ b);</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;}</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="keyword">namespace </span>{</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="comment">/// optimize permutation to reproduce a distance table with Hamming distances</span></div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="comment"></span><span class="keyword">struct </span>ReproduceWithHammingObjective : PermutationObjective {</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    <span class="keywordtype">int</span> nbits;</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    <span class="keywordtype">double</span> dis_weight_factor;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    <span class="keyword">static</span> <span class="keywordtype">double</span> sqr (<span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> x * x; }</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    <span class="comment">// weihgting of distances: it is more important to reproduce small</span></div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    <span class="comment">// distances well</span></div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    <span class="keywordtype">double</span> dis_weight (<span class="keywordtype">double</span> x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        <span class="keywordflow">return</span> exp (-dis_weight_factor * x);</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;    }</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    std::vector&lt;double&gt; target_dis; <span class="comment">// wanted distances (size n^2)</span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;    std::vector&lt;double&gt; weights;    <span class="comment">// weights for each distance (size n^2)</span></div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    <span class="comment">// cost = quadratic difference between actual distance and Hamming distance</span></div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;    <span class="keyword">virtual</span> <span class="keywordtype">double</span> compute_cost (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm)<span class="keyword"> const</span></div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        <span class="keywordtype">double</span> cost = 0;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;                <span class="keywordtype">double</span> wanted = target_dis [i * n + j];</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;                <span class="keywordtype">double</span> w = weights [i * n + j];</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;                <span class="keywordtype">double</span> actual = hamming_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;                cost += w * sqr (wanted - actual);</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;            }</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;        }</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        <span class="keywordflow">return</span> cost;</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;    }</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;    <span class="comment">// what would the cost update be if iw and jw were swapped?</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;    <span class="comment">// computed in O(n) instead of O(n^2) for the full re-computation</span></div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;    <span class="keywordtype">double</span> cost_update (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw)<span class="keyword"> const</span></div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;        <span class="keywordtype">double</span> delta_cost = 0;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;            <span class="keywordflow">if</span> (i == iw) {</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;                    <span class="keywordtype">double</span> wanted = target_dis [i * n + j],</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;                        w = weights [i * n + j];</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;                    <span class="keywordtype">double</span> actual = hamming_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;                    delta_cost -= w * sqr (wanted - actual);</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;                    <span class="keywordtype">double</span> new_actual = hamming_dis (</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;                           perm[jw],</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;                           perm[j == iw ? jw : j == jw ? iw : j]);</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;                    delta_cost += w * sqr (wanted - new_actual);</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;                }</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;            } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i == jw) {</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;                    <span class="keywordtype">double</span> wanted = target_dis [i * n + j],</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;                        w = weights [i * n + j];</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;                    <span class="keywordtype">double</span> actual = hamming_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;                    delta_cost -= w * sqr (wanted - actual);</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;                    <span class="keywordtype">double</span> new_actual = hamming_dis (</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;                           perm[iw],</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;                           perm[j == iw ? jw : j == jw ? iw : j]);</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;                    delta_cost += w * sqr (wanted - new_actual);</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;                }</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;            } <span class="keywordflow">else</span>  {</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;                <span class="keywordtype">int</span> j = iw;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;                {</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;                    <span class="keywordtype">double</span> wanted = target_dis [i * n + j],</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;                        w = weights [i * n + j];</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;                    <span class="keywordtype">double</span> actual = hamming_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;                    delta_cost -= w * sqr (wanted - actual);</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;                    <span class="keywordtype">double</span> new_actual = hamming_dis (perm[i], perm[jw]);</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;                    delta_cost += w * sqr (wanted - new_actual);</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;                }</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;                j = jw;</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;                {</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;                    <span class="keywordtype">double</span> wanted = target_dis [i * n + j],</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;                        w = weights [i * n + j];</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;                    <span class="keywordtype">double</span> actual = hamming_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;                    delta_cost -= w * sqr (wanted - actual);</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;                    <span class="keywordtype">double</span> new_actual = hamming_dis (perm[i], perm[iw]);</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;                    delta_cost += w * sqr (wanted - new_actual);</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;                }</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;            }</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;        }</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;        <span class="keywordflow">return</span> delta_cost;</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;    }</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;    ReproduceWithHammingObjective (</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;           <span class="keywordtype">int</span> nbits,</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;           <span class="keyword">const</span> std::vector&lt;double&gt; &amp; dis_table,</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;           <span class="keywordtype">double</span> dis_weight_factor):</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;        nbits (nbits), dis_weight_factor (dis_weight_factor)</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;    {</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;        n = 1 &lt;&lt; nbits;</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;        FAISS_ASSERT (dis_table.size() == n * n);</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;        set_affine_target_dis (dis_table);</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;    }</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;    <span class="keywordtype">void</span> set_affine_target_dis (<span class="keyword">const</span> std::vector&lt;double&gt; &amp; dis_table)</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;    {</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;        <span class="keywordtype">double</span> sum = 0, sum2 = 0;</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        <span class="keywordtype">int</span> n2 = n * n;</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n2; i++) {</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;            sum += dis_table [i];</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;            sum2 += dis_table [i] * dis_table [i];</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;        }</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;        <span class="keywordtype">double</span> mean = sum / n2;</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        <span class="keywordtype">double</span> stddev = sqrt(sum2 / n2 - (sum / n2) * (sum / n2));</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;        target_dis.resize (n2);</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n2; i++) {</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;            <span class="comment">// the mapping function</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;            <span class="keywordtype">double</span> td = (dis_table [i] - mean) / stddev * sqrt(nbits / 4) +</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;                nbits / 2;</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;            target_dis[i] = td;</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;            <span class="comment">// compute a weight</span></div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;            weights.push_back (dis_weight (td));</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;        }</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;    }</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;    <span class="keyword">virtual</span> ~ReproduceWithHammingObjective () {}</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;};</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;} <span class="comment">// anonymous namespace</span></div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;<span class="comment">// weihgting of distances: it is more important to reproduce small</span></div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;<span class="comment">// distances well</span></div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;<span class="keywordtype">double</span> ReproduceDistancesObjective::dis_weight (<span class="keywordtype">double</span> x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;    <span class="keywordflow">return</span> exp (-dis_weight_factor * x);</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;}</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;<span class="keywordtype">double</span> ReproduceDistancesObjective::get_source_dis (<span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j)<span class="keyword"> const</span></div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a6681846eb7751b32a907d075fff6770b">source_dis</a> [i * n + j];</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;}</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;<span class="comment">// cost = quadratic difference between actual distance and Hamming distance</span></div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;<span class="keywordtype">double</span> ReproduceDistancesObjective::compute_cost (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm)<span class="keyword"> const</span></div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;    <span class="keywordtype">double</span> cost = 0;</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;            <span class="keywordtype">double</span> wanted = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#ac99d739f81e13e841ba7d81d90629aef">target_dis</a> [i * n + j];</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;            <span class="keywordtype">double</span> w = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a982332b44ff32b9ae9694e374acd0aff">weights</a> [i * n + j];</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;            <span class="keywordtype">double</span> actual = get_source_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;            cost += w * sqr (wanted - actual);</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;        }</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;    }</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;    <span class="keywordflow">return</span> cost;</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;}</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;<span class="comment">// what would the cost update be if iw and jw were swapped?</span></div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;<span class="comment">// computed in O(n) instead of O(n^2) for the full re-computation</span></div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;<span class="keywordtype">double</span> ReproduceDistancesObjective::cost_update(</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw)<span class="keyword"> const</span></div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    <span class="keywordtype">double</span> delta_cost = 0;</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;     <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;        <span class="keywordflow">if</span> (i == iw) {</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;                <span class="keywordtype">double</span> wanted = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#ac99d739f81e13e841ba7d81d90629aef">target_dis</a> [i * n + j],</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;                    w = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a982332b44ff32b9ae9694e374acd0aff">weights</a> [i * n + j];</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;                <span class="keywordtype">double</span> actual = get_source_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;                delta_cost -= w * sqr (wanted - actual);</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;                <span class="keywordtype">double</span> new_actual = get_source_dis (</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;                       perm[jw],</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;                       perm[j == iw ? jw : j == jw ? iw : j]);</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;                delta_cost += w * sqr (wanted - new_actual);</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;            }</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;        } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i == jw) {</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;                <span class="keywordtype">double</span> wanted = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#ac99d739f81e13e841ba7d81d90629aef">target_dis</a> [i * n + j],</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;                    w = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a982332b44ff32b9ae9694e374acd0aff">weights</a> [i * n + j];</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;                <span class="keywordtype">double</span> actual = get_source_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;                delta_cost -= w * sqr (wanted - actual);</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;                <span class="keywordtype">double</span> new_actual = get_source_dis (</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;                       perm[iw],</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;                       perm[j == iw ? jw : j == jw ? iw : j]);</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;                delta_cost += w * sqr (wanted - new_actual);</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;            }</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;        } <span class="keywordflow">else</span>  {</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;            <span class="keywordtype">int</span> j = iw;</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;            {</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;                <span class="keywordtype">double</span> wanted = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#ac99d739f81e13e841ba7d81d90629aef">target_dis</a> [i * n + j],</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;                    w = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a982332b44ff32b9ae9694e374acd0aff">weights</a> [i * n + j];</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;                <span class="keywordtype">double</span> actual = get_source_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;                delta_cost -= w * sqr (wanted - actual);</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;                <span class="keywordtype">double</span> new_actual = get_source_dis (perm[i], perm[jw]);</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;                delta_cost += w * sqr (wanted - new_actual);</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;            }</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;            j = jw;</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;            {</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;                <span class="keywordtype">double</span> wanted = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#ac99d739f81e13e841ba7d81d90629aef">target_dis</a> [i * n + j],</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;                    w = <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a982332b44ff32b9ae9694e374acd0aff">weights</a> [i * n + j];</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;                <span class="keywordtype">double</span> actual = get_source_dis (perm[i], perm[j]);</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;                delta_cost -= w * sqr (wanted - actual);</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;                <span class="keywordtype">double</span> new_actual = get_source_dis (perm[i], perm[iw]);</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;                delta_cost += w * sqr (wanted - new_actual);</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;            }</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;        }</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;    }</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;     <span class="keywordflow">return</span> delta_cost;</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;}</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;ReproduceDistancesObjective::ReproduceDistancesObjective (</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;       <span class="keywordtype">int</span> n,</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;       <span class="keyword">const</span> <span class="keywordtype">double</span> *source_dis_in,</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;       <span class="keyword">const</span> <span class="keywordtype">double</span> *target_dis_in,</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;       <span class="keywordtype">double</span> dis_weight_factor):</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;    dis_weight_factor (dis_weight_factor),</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;    target_dis (target_dis_in)</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;{</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;    this-&gt;n = <a class="code" href="structfaiss_1_1SimulatedAnnealingOptimizer.html#a90edfc401372aa1a2a832b403e26bfd1">n</a>;</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;    set_affine_target_dis (source_dis_in);</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;}</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;<span class="keywordtype">void</span> ReproduceDistancesObjective::compute_mean_stdev (</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;          <span class="keyword">const</span> <span class="keywordtype">double</span> *tab, <span class="keywordtype">size_t</span> n2,</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;          <span class="keywordtype">double</span> *mean_out, <span class="keywordtype">double</span> *stddev_out)</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;{</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;    <span class="keywordtype">double</span> sum = 0, sum2 = 0;</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n2; i++) {</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;        sum += tab [i];</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;        sum2 += tab [i] * tab [i];</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;    }</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;    <span class="keywordtype">double</span> mean = sum / n2;</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;    <span class="keywordtype">double</span> stddev = sqrt(sum2 / n2 - (sum / n2) * (sum / n2));</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;    *mean_out = mean;</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;    *stddev_out = stddev;</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;}</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;<span class="keywordtype">void</span> ReproduceDistancesObjective::set_affine_target_dis (</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;          <span class="keyword">const</span> <span class="keywordtype">double</span> *source_dis_in)</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;{</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;    <span class="keywordtype">int</span> n2 = n * n;</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;    <span class="keywordtype">double</span> mean_src, stddev_src;</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;    compute_mean_stdev (source_dis_in, n2, &amp;mean_src, &amp;stddev_src);</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;    <span class="keywordtype">double</span> mean_target, stddev_target;</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;    compute_mean_stdev (<a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#ac99d739f81e13e841ba7d81d90629aef">target_dis</a>, n2, &amp;mean_target, &amp;stddev_target);</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;    printf (<span class="stringliteral">&quot;map mean %g std %g -&gt; mean %g std %g\n&quot;</span>,</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;            mean_src, stddev_src, mean_target, stddev_target);</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;    <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a6681846eb7751b32a907d075fff6770b">source_dis</a>.resize (n2);</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;    <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a982332b44ff32b9ae9694e374acd0aff">weights</a>.resize (n2);</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n2; i++) {</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;        <span class="comment">// the mapping function</span></div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;        <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a6681846eb7751b32a907d075fff6770b">source_dis</a>[i] = (source_dis_in[i] - mean_src) / stddev_src</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;            * stddev_target + mean_target;</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;        <span class="comment">// compute a weight</span></div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;        <a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#a982332b44ff32b9ae9694e374acd0aff">weights</a> [i] = dis_weight (<a class="code" href="structfaiss_1_1ReproduceDistancesObjective.html#ac99d739f81e13e841ba7d81d90629aef">target_dis</a>[i]);</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;    }</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;}</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;<span class="comment">/****************************************************</span></div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;<span class="comment"> * Cost functions: RankingScore</span></div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;<span class="comment"> ****************************************************/</span></div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;<span class="comment">/// Maintains a 3D table of elementary costs.</span></div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;<span class="comment">/// Accumulates elements based on Hamming distance comparisons</span></div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;<span class="comment"></span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> Ttab, <span class="keyword">typename</span> Taccu&gt;</div>
<div class="line"><a name="l00452"></a><span class="lineno"><a class="line" href="structfaiss_1_1Score3Computer.html">  452</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structfaiss_1_1Score3Computer.html">Score3Computer</a>: <a class="code" href="structfaiss_1_1PermutationObjective.html">PermutationObjective</a> {</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;    <span class="keywordtype">int</span> nc;</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;    <span class="comment">// cost matrix of size nc * nc *nc</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;    <span class="comment">// n_gt (i,j,k) = count of d_gt(x, y-) &lt; d_gt(x, y+)</span></div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;    <span class="comment">// where x has PQ code i, y- PQ code j and y+ PQ code k</span></div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;    std::vector&lt;Ttab&gt; n_gt;</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;<span class="comment">    /// the cost is a triple loop on the nc * nc * nc matrix of entries.</span></div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;<span class="comment">    ///</span></div>
<div class="line"><a name="l00464"></a><span class="lineno"><a class="line" href="structfaiss_1_1Score3Computer.html#a07a726903418960a2d8000506d88f8e6">  464</a></span>&#160;<span class="comment"></span>    Taccu <a class="code" href="structfaiss_1_1Score3Computer.html#a07a726903418960a2d8000506d88f8e6">compute</a> (<span class="keyword">const</span> <span class="keywordtype">int</span> * perm)<span class="keyword"> const</span></div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;        Taccu accu = 0;</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;        <span class="keyword">const</span> Ttab *p = n_gt.data();</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; nc; i++) {</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;            <span class="keywordtype">int</span> ip = perm [i];</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; nc; j++) {</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;                <span class="keywordtype">int</span> jp = perm [j];</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; nc; k++) {</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;                    <span class="keywordtype">int</span> kp = perm [k];</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;                    <span class="keywordflow">if</span> (hamming_dis (ip, jp) &lt;</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;                        hamming_dis (ip, kp)) {</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;                        accu += *p; <span class="comment">// n_gt [ ( i * nc + j) * nc + k];</span></div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;                    }</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;                    p++;</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;                }</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;            }</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;        }</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;        <span class="keywordflow">return</span> accu;</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;    }</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;<span class="comment">    /** cost update if entries iw and jw of the permutation would be</span></div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;<span class="comment">     * swapped.</span></div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;<span class="comment">     *</span></div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;<span class="comment">     * The computation is optimized by avoiding elements in the</span></div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;<span class="comment">     * nc*nc*nc cube that are known not to change. For nc=256, this</span></div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;<span class="comment">     * reduces the nb of cells to visit to about 6/256 th of the</span></div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;<span class="comment">     * cells. Practical speedup is about 8x, and the code is quite</span></div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;<span class="comment">     * complex :-/</span></div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;<span class="comment">     */</span></div>
<div class="line"><a name="l00495"></a><span class="lineno"><a class="line" href="structfaiss_1_1Score3Computer.html#a567feac7ddd3bb467a9ed30671caccb1">  495</a></span>&#160;    Taccu <a class="code" href="structfaiss_1_1Score3Computer.html#a567feac7ddd3bb467a9ed30671caccb1">compute_update</a> (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw)<span class="keyword"> const</span></div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;        assert (iw != jw);</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;        <span class="keywordflow">if</span> (iw &gt; jw) std::swap (iw, jw);</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;        Taccu accu = 0;</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;        <span class="keyword">const</span> Ttab * n_gt_i = n_gt.data();</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; nc; i++) {</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;            <span class="keywordtype">int</span> ip0 = perm [i];</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;            <span class="keywordtype">int</span> ip = perm [i == iw ? jw : i == jw ? iw : i];</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;            <span class="comment">//accu += update_i (perm, iw, jw, ip0, ip, n_gt_i);</span></div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;            accu += <a class="code" href="structfaiss_1_1Score3Computer.html#acf371848bac76ba275ceb5e10f805d33">update_i_cross</a> (perm, iw, jw,</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;                                    ip0, ip, n_gt_i);</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;            <span class="keywordflow">if</span> (ip != ip0)</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;                accu += update_i_plane (perm, iw, jw,</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;                                       ip0, ip, n_gt_i);</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;            n_gt_i += nc * nc;</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;        }</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;        <span class="keywordflow">return</span> accu;</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;    }</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;    Taccu update_i (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw,</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;                   <span class="keywordtype">int</span> ip0, <span class="keywordtype">int</span> ip, <span class="keyword">const</span> Ttab * n_gt_i)<span class="keyword"> const</span></div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;        Taccu accu = 0;</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;        <span class="keyword">const</span> Ttab *n_gt_ij = n_gt_i;</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; nc; j++) {</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;            <span class="keywordtype">int</span> jp0 = perm[j];</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;            <span class="keywordtype">int</span> jp = perm [j == iw ? jw : j == jw ? iw : j];</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; nc; k++) {</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;                <span class="keywordtype">int</span> kp0 = perm [k];</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;                <span class="keywordtype">int</span> kp = perm [k == iw ? jw : k == jw ? iw : k];</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;                <span class="keywordtype">int</span> ng = n_gt_ij [k];</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;                <span class="keywordflow">if</span> (hamming_dis (ip, jp) &lt; hamming_dis (ip, kp)) {</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;                    accu += ng;</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;                }</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;                <span class="keywordflow">if</span> (hamming_dis (ip0, jp0) &lt; hamming_dis (ip0, kp0)) {</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;                    accu -= ng;</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;                }</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;            }</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;            n_gt_ij += nc;</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;        }</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;        <span class="keywordflow">return</span> accu;</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;    }</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;    <span class="comment">// 2 inner loops for the case ip0 != ip</span></div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;    Taccu update_i_plane (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw,</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;                         <span class="keywordtype">int</span> ip0, <span class="keywordtype">int</span> ip, <span class="keyword">const</span> Ttab * n_gt_i)<span class="keyword"> const</span></div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;        Taccu accu = 0;</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;        <span class="keyword">const</span> Ttab *n_gt_ij = n_gt_i;</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; nc; j++) {</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;            <span class="keywordflow">if</span> (j != iw &amp;&amp; j != jw) {</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;                <span class="keywordtype">int</span> jp = perm[j];</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; nc; k++) {</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;                    <span class="keywordflow">if</span> (k != iw &amp;&amp; k != jw) {</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;                        <span class="keywordtype">int</span> kp = perm [k];</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;                        Ttab ng = n_gt_ij [k];</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;                        <span class="keywordflow">if</span> (hamming_dis (ip, jp) &lt; hamming_dis (ip, kp)) {</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;                            accu += ng;</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;                        }</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;                        <span class="keywordflow">if</span> (hamming_dis (ip0, jp) &lt; hamming_dis (ip0, kp)) {</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;                            accu -= ng;</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;                        }</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;                    }</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;                }</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;            }</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;            n_gt_ij += nc;</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;        }</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;        <span class="keywordflow">return</span> accu;</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;    }</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;<span class="comment">    /// used for the 8 cells were the 3 indices are swapped</span></div>
<div class="line"><a name="l00575"></a><span class="lineno"><a class="line" href="structfaiss_1_1Score3Computer.html#a227601c3dc8779bb13747ba04934e0c8">  575</a></span>&#160;<span class="comment"></span>    <span class="keyword">inline</span> Taccu <a class="code" href="structfaiss_1_1Score3Computer.html#a227601c3dc8779bb13747ba04934e0c8">update_k</a> (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw,</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;                          <span class="keywordtype">int</span> ip0, <span class="keywordtype">int</span> ip, <span class="keywordtype">int</span> jp0, <span class="keywordtype">int</span> jp,</div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;                          <span class="keywordtype">int</span> k,</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;                          <span class="keyword">const</span> Ttab * n_gt_ij)<span class="keyword"> const</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;        Taccu accu = 0;</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;        <span class="keywordtype">int</span> kp0 = perm [k];</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;        <span class="keywordtype">int</span> kp = perm [k == iw ? jw : k == jw ? iw : k];</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;        Ttab ng = n_gt_ij [k];</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;        <span class="keywordflow">if</span> (hamming_dis (ip, jp) &lt; hamming_dis (ip, kp)) {</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;            accu += ng;</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;        }</div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;        <span class="keywordflow">if</span> (hamming_dis (ip0, jp0) &lt; hamming_dis (ip0, kp0)) {</div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;            accu -= ng;</div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;        }</div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;        <span class="keywordflow">return</span> accu;</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;    }</div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;<span class="comment">    /// compute update on a line of k&#39;s, where i and j are swapped</span></div>
<div class="line"><a name="l00594"></a><span class="lineno"><a class="line" href="structfaiss_1_1Score3Computer.html#a98da6005edbb5ec26311bc947866122d">  594</a></span>&#160;<span class="comment"></span>    Taccu <a class="code" href="structfaiss_1_1Score3Computer.html#a98da6005edbb5ec26311bc947866122d">update_j_line</a> (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw,</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;                        <span class="keywordtype">int</span> ip0, <span class="keywordtype">int</span> ip, <span class="keywordtype">int</span> jp0, <span class="keywordtype">int</span> jp,</div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;                        <span class="keyword">const</span> Ttab * n_gt_ij)<span class="keyword"> const</span></div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;        Taccu accu = 0;</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; nc; k++) {</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;            <span class="keywordflow">if</span> (k == iw || k == jw) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;            <span class="keywordtype">int</span> kp = perm [k];</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;            Ttab ng = n_gt_ij [k];</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;            <span class="keywordflow">if</span> (hamming_dis (ip, jp) &lt; hamming_dis (ip, kp)) {</div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;                accu += ng;</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;            }</div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;            <span class="keywordflow">if</span> (hamming_dis (ip0, jp0) &lt; hamming_dis (ip0, kp)) {</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;                accu -= ng;</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;            }</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;        }</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;        <span class="keywordflow">return</span> accu;</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;    }</div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;<span class="comment">    /// considers the 2 pairs of crossing lines j=iw or jw and k = iw or kw</span></div>
<div class="line"><a name="l00615"></a><span class="lineno"><a class="line" href="structfaiss_1_1Score3Computer.html#acf371848bac76ba275ceb5e10f805d33">  615</a></span>&#160;<span class="comment"></span>    Taccu <a class="code" href="structfaiss_1_1Score3Computer.html#acf371848bac76ba275ceb5e10f805d33">update_i_cross</a> (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw,</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;                        <span class="keywordtype">int</span> ip0, <span class="keywordtype">int</span> ip, <span class="keyword">const</span> Ttab * n_gt_i)<span class="keyword"> const</span></div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;        Taccu accu = 0;</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;        <span class="keyword">const</span> Ttab *n_gt_ij = n_gt_i;</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;</div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; nc; j++) {</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;            <span class="keywordtype">int</span> jp0 = perm[j];</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;            <span class="keywordtype">int</span> jp = perm [j == iw ? jw : j == jw ? iw : j];</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;            accu += <a class="code" href="structfaiss_1_1Score3Computer.html#a227601c3dc8779bb13747ba04934e0c8">update_k</a> (perm, iw, jw, ip0, ip, jp0, jp, iw, n_gt_ij);</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;            accu += <a class="code" href="structfaiss_1_1Score3Computer.html#a227601c3dc8779bb13747ba04934e0c8">update_k</a> (perm, iw, jw, ip0, ip, jp0, jp, jw, n_gt_ij);</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;            <span class="keywordflow">if</span> (jp != jp0)</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;                accu += <a class="code" href="structfaiss_1_1Score3Computer.html#a98da6005edbb5ec26311bc947866122d">update_j_line</a> (perm, iw, jw, ip0, ip, jp0, jp, n_gt_ij);</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;</div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;            n_gt_ij += nc;</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;        }</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;        <span class="keywordflow">return</span> accu;</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;    }</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;<span class="comment">    /// PermutationObjective implementeation (just negates the scores</span></div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;<span class="comment">    /// for minimization)</span></div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00640"></a><span class="lineno"><a class="line" href="structfaiss_1_1Score3Computer.html#a49fe0b8ba9665f6997e4f413409c174c">  640</a></span>&#160;    <span class="keyword">virtual</span> <span class="keywordtype">double</span> <a class="code" href="structfaiss_1_1Score3Computer.html#a49fe0b8ba9665f6997e4f413409c174c">compute_cost</a> (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;        <span class="keywordflow">return</span> -<a class="code" href="structfaiss_1_1Score3Computer.html#a07a726903418960a2d8000506d88f8e6">compute</a> (perm);</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;    }</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;</div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;</div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;    <span class="keyword">virtual</span> <span class="keywordtype">double</span> cost_update (<span class="keyword">const</span> <span class="keywordtype">int</span> *perm, <span class="keywordtype">int</span> iw, <span class="keywordtype">int</span> jw)<span class="keyword"> const</span></div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;        <span class="keywordtype">double</span> ret = -<a class="code" href="structfaiss_1_1Score3Computer.html#a567feac7ddd3bb467a9ed30671caccb1">compute_update</a> (perm, iw, jw);</div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;        <span class="keywordflow">return</span> ret;</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;    }</div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;</div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;    <span class="keyword">virtual</span> ~Score3Computer () {}</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;};</div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;</div>
<div class="line"><a name="l00660"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndirectSort.html">  660</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structfaiss_1_1IndirectSort.html">IndirectSort</a> {</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> *tab;</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;    <span class="keywordtype">bool</span> operator () (<span class="keywordtype">int</span> a, <span class="keywordtype">int</span> b) {<span class="keywordflow">return</span> tab[a] &lt; tab[b]; }</div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;};</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;</div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;</div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;</div>
<div class="line"><a name="l00667"></a><span class="lineno"><a class="line" href="structfaiss_1_1RankingScore2.html">  667</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structfaiss_1_1RankingScore2.html">RankingScore2</a>: <a class="code" href="structfaiss_1_1Score3Computer.html">Score3Computer</a>&lt;float, double&gt; {</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;    <span class="keywordtype">int</span> nbits;</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;    <span class="keywordtype">int</span> nq, nb;</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;    <span class="keyword">const</span> uint32_t *qcodes, *bcodes;</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> *gt_distances;</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;    <a class="code" href="structfaiss_1_1RankingScore2.html">RankingScore2</a> (<span class="keywordtype">int</span> nbits, <span class="keywordtype">int</span> nq, <span class="keywordtype">int</span> nb,</div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;                  <span class="keyword">const</span> uint32_t *qcodes, <span class="keyword">const</span> uint32_t *bcodes,</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;                  <span class="keyword">const</span> <span class="keywordtype">float</span> *gt_distances):</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;        nbits(nbits), nq(nq), nb(nb), qcodes(qcodes),</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;        bcodes(bcodes), gt_distances(gt_distances)</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;    {</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;        n = nc = 1 &lt;&lt; nbits;</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;        n_gt.resize (nc * nc * nc);</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;        init_n_gt ();</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;    }</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;    <span class="keywordtype">double</span> rank_weight (<span class="keywordtype">int</span> r)</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;    {</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;        <span class="keywordflow">return</span> 1.0 / (r + 1);</div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;    }</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;<span class="comment">    /// count nb of i, j in a x b st. i &lt; j</span></div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;<span class="comment">    /// a and b should be sorted on input</span></div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;<span class="comment">    /// they are the ranks of j and k respectively.</span></div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;<span class="comment">    /// specific version for diff-of-rank weighting, cannot optimized</span></div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;<span class="comment">    /// with a cumulative table</span></div>
<div class="line"><a name="l00695"></a><span class="lineno"><a class="line" href="structfaiss_1_1RankingScore2.html#a16c753a4136b3c851ea81133a26a02da">  695</a></span>&#160;<span class="comment"></span>    <span class="keywordtype">double</span> <a class="code" href="structfaiss_1_1RankingScore2.html#a16c753a4136b3c851ea81133a26a02da">accum_gt_weight_diff</a> (<span class="keyword">const</span> std::vector&lt;int&gt; &amp; a,</div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;                                 <span class="keyword">const</span> std::vector&lt;int&gt; &amp; b)</div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;    {</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;        <span class="keywordtype">int</span> nb = b.size(), na = a.size();</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;</div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;        <span class="keywordtype">double</span> accu = 0;</div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;        <span class="keywordtype">int</span> j = 0;</div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; na; i++) {</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;            <span class="keywordtype">int</span> ai = a[i];</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;            <span class="keywordflow">while</span> (j &lt; nb &amp;&amp; ai &gt;= b[j]) j++;</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;</div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;            <span class="keywordtype">double</span> accu_i = 0;</div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = j; k &lt; b.size(); k++)</div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;                accu_i += rank_weight (b[k] - ai);</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;</div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;            accu += rank_weight (ai) * accu_i;</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;        }</div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;        <span class="keywordflow">return</span> accu;</div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;    }</div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;</div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;    <span class="keywordtype">void</span> init_n_gt ()</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;    {</div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> q = 0; q &lt; nq; q++) {</div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">float</span> *gtd = gt_distances + q * nb;</div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;            <span class="keyword">const</span> uint32_t *cb = bcodes;<span class="comment">// all same codes</span></div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;            <span class="keywordtype">float</span> * n_gt_q = &amp; n_gt [qcodes[q] * nc * nc];</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;            printf(<span class="stringliteral">&quot;init gt for q=%d/%d    \r&quot;</span>, q, nq); fflush(stdout);</div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;</div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;            std::vector&lt;int&gt; rankv (nb);</div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;            <span class="keywordtype">int</span> * ranks = rankv.data();</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;</div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;            <span class="comment">// elements in each code bin, ordered by rank within each bin</span></div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;            std::vector&lt;std::vector&lt;int&gt; &gt; tab (nc);</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;</div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;            { <span class="comment">// build rank table</span></div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;                <a class="code" href="structfaiss_1_1IndirectSort.html">IndirectSort</a> s = {gtd};</div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; nb; j++) ranks[j] = j;</div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;                std::sort (ranks, ranks + nb, s);</div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;            }</div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;</div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> rank = 0; rank &lt; nb; rank++) {</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;                <span class="keywordtype">int</span> i = ranks [rank];</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;                tab [cb[i]].push_back (rank);</div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;            }</div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;            <span class="comment">// this is very expensive. Any suggestion for improvement</span></div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;            <span class="comment">// welcome.</span></div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; nc; i++) {</div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;                std::vector&lt;int&gt; &amp; di = tab[i];</div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;                <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; nc; j++) {</div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;                    std::vector&lt;int&gt; &amp; dj = tab[j];</div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;                    n_gt_q [i * nc + j] += <a class="code" href="structfaiss_1_1RankingScore2.html#a16c753a4136b3c851ea81133a26a02da">accum_gt_weight_diff</a> (di, dj);</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;</div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;                }</div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;            }</div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;</div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;        }</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;</div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;    }</div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;</div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;};</div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;</div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;<span class="comment">/*****************************************</span></div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;<span class="comment"> * PolysemousTraining</span></div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;<span class="comment"> ******************************************/</span></div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;</div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;</div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;PolysemousTraining::PolysemousTraining ()</div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;{</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;    optimization_type = <a class="code" href="structfaiss_1_1PolysemousTraining.html#aeb5a523056697934972f95fd428f61efa4f1f59a0027c1662a7aaf66f2a78fb23">OT_ReproduceDistances_affine</a>;</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;    ntrain_permutation = 0;</div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;    dis_weight_factor = log(2);</div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;}</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;</div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;</div>
<div class="line"><a name="l00776"></a><span class="lineno"><a class="line" href="structfaiss_1_1PolysemousTraining.html#a6989e2b573d4368e7f863edbbb2f00b8">  776</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1PolysemousTraining.html#a6989e2b573d4368e7f863edbbb2f00b8">PolysemousTraining::optimize_reproduce_distances</a> (</div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;       <a class="code" href="structfaiss_1_1ProductQuantizer.html">ProductQuantizer</a> &amp;pq)<span class="keyword"> const</span></div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;</div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;    <span class="keywordtype">int</span> dsub = pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a467b451ca203544e42c250e4be65b983">dsub</a>;</div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;</div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;    <span class="keywordtype">int</span> n = pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a0feee45e4151547b7a0444c14bad398f">ksub</a>;</div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;    <span class="keywordtype">int</span> nbits = pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#ac920fea11f02e8407d12cc99a09f5ea5">nbits</a>;</div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;</div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;<span class="preprocessor">#pragma omp parallel for</span></div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> m = 0; m &lt; pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a83600e328893ce5f41fe459f5a3acf41">M</a>; m++) {</div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;        std::vector&lt;double&gt; dis_table;</div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;</div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;        <span class="comment">// printf (&quot;Optimizing quantizer %d\n&quot;, m);</span></div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;</div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;        <span class="keywordtype">float</span> * centroids = pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a4f0f33c011dffe633a1748a48a082c22">get_centroids</a> (m, 0);</div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;</div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;                dis_table.push_back (<a class="code" href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">fvec_L2sqr</a> (centroids + i * dsub,</div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160;                                                 centroids + j * dsub,</div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;                                                 dsub));</div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;            }</div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;        }</div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;</div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;        std::vector&lt;int&gt; perm (n);</div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;        ReproduceWithHammingObjective obj (</div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;               nbits, dis_table,</div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;               dis_weight_factor);</div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;</div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;</div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;        <a class="code" href="structfaiss_1_1SimulatedAnnealingOptimizer.html">SimulatedAnnealingOptimizer</a> optim (&amp;obj, *<span class="keyword">this</span>);</div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;</div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;        <span class="keywordflow">if</span> (log_pattern.size()) {</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;            <span class="keywordtype">char</span> fname[256];</div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;            snprintf (fname, 256, log_pattern.c_str(), m);</div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;            printf (<span class="stringliteral">&quot;opening log file %s\n&quot;</span>, fname);</div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;            optim.logfile = fopen (fname, <span class="stringliteral">&quot;w&quot;</span>);</div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;            FAISS_ASSERT (optim.logfile || !<span class="stringliteral">&quot;could not open logfile&quot;</span>);</div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;        }</div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;        <span class="keywordtype">double</span> final_cost = optim.run_optimization (perm.data());</div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;</div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;        <span class="keywordflow">if</span> (verbose &gt; 0) {</div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;            printf (<span class="stringliteral">&quot;SimulatedAnnealingOptimizer for m=%d: %g -&gt; %g\n&quot;</span>,</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;                    m, optim.<a class="code" href="structfaiss_1_1SimulatedAnnealingOptimizer.html#aa8ff19f97482c6213b2a8ff3b190412b">init_cost</a>, final_cost);</div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;        }</div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;</div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;        <span class="keywordflow">if</span> (log_pattern.size()) fclose (optim.logfile);</div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;</div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;        std::vector&lt;float&gt; centroids_copy;</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; dsub * n; i++)</div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;            centroids_copy.push_back (centroids[i]);</div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;</div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++)</div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;            memcpy (centroids + perm[i] * dsub,</div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;                    centroids_copy.data() + i * dsub,</div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160;                    dsub * <span class="keyword">sizeof</span>(centroids[0]));</div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;</div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;    }</div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;}</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;</div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;</div>
<div class="line"><a name="l00839"></a><span class="lineno"><a class="line" href="structfaiss_1_1PolysemousTraining.html#a0ac61389b6fcc7f98e998d9d0cc2664a">  839</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1PolysemousTraining.html#a0ac61389b6fcc7f98e998d9d0cc2664a">PolysemousTraining::optimize_ranking</a> (</div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;      <a class="code" href="structfaiss_1_1ProductQuantizer.html">ProductQuantizer</a> &amp;pq, <span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;</div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;    <span class="keywordtype">int</span> dsub = pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a467b451ca203544e42c250e4be65b983">dsub</a>;</div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;</div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;    <span class="keywordtype">int</span> nbits = pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#ac920fea11f02e8407d12cc99a09f5ea5">nbits</a>;</div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;</div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;    std::vector&lt;uint8_t&gt; all_codes (pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#aa61330eadb84772b71018b093773a5f9">code_size</a> * n);</div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;    pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#ae5a340ee5a4b1d35a565b167de2a2ef1">compute_codes</a> (x, all_codes.data(), n);</div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;</div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;    FAISS_ASSERT (pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a13bf69a0dc7b4e45792d10f458e4a92d">byte_per_idx</a> == 1);</div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;</div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;    <span class="keywordflow">if</span> (n == 0)</div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;        pq.compute_sdc_table ();</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;<span class="preprocessor">#pragma omp parallel for</span></div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">for</span> (<span class="keywordtype">int</span> m = 0; m &lt; pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a83600e328893ce5f41fe459f5a3acf41">M</a>; m++) {</div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;        <span class="keywordtype">size_t</span> nq, nb;</div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;        std::vector &lt;uint32_t&gt; codes; <span class="comment">// query codes, then db codes</span></div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;        std::vector &lt;float&gt; gt_distances; <span class="comment">// nq * nb matrix of distances</span></div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160;        <span class="keywordflow">if</span> (n &gt; 0) {</div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;            std::vector&lt;float&gt; xtrain (n * dsub);</div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++)</div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;                memcpy (xtrain.data() + i * dsub,</div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;                        x + i * pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a567cd512438f9e3404d9339a232d7695">d</a> + m * dsub,</div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;                        <span class="keyword">sizeof</span>(float) * dsub);</div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;</div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;            codes.resize (n);</div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++)</div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;                codes [i] = all_codes [i * pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#aa61330eadb84772b71018b093773a5f9">code_size</a> + m];</div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;</div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;            nq = n / 4; nb = n - nq;</div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">float</span> *xq = xtrain.data();</div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">float</span> *xb = xq + nq * dsub;</div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;</div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;            gt_distances.resize (nq * nb);</div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;</div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;            <a class="code" href="namespacefaiss.html#a3d9c7db82d43c1f0ab1d28b92bc9fe57">pairwise_L2sqr</a> (dsub,</div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;                            nq, xq,</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;                            nb, xb,</div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;                            gt_distances.data());</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;        } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;            nq = nb = pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a0feee45e4151547b7a0444c14bad398f">ksub</a>;</div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;            codes.resize (2 * nq);</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; nq; i++)</div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;                codes[i] = codes [i + nq] = i;</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;</div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;            gt_distances.resize (nq * nb);</div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;</div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;            memcpy (gt_distances.data (),</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;                    pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a6bd65fb4407452f73acb7242931d09e4">sdc_table</a>.data () + m * nq * nb,</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;                    <span class="keyword">sizeof</span> (float) * nq * nb);</div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;        }</div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;</div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;        <span class="keywordtype">double</span> t0 = <a class="code" href="namespacefaiss.html#af2a71f7d5402ae02ce169a4cc83020eb">getmillisecs</a> ();</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;        <a class="code" href="structfaiss_1_1PermutationObjective.html">PermutationObjective</a> *obj = <span class="keyword">new</span> <a class="code" href="structfaiss_1_1RankingScore2.html">RankingScore2</a> (</div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;                  nbits, nq, nb,</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;                  codes.data(), codes.data() + nq,</div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;                  gt_distances.data ());</div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;        <span class="keywordflow">if</span> (verbose &gt; 0) {</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;            printf(<span class="stringliteral">&quot;   m=%d, nq=%ld, nb=%ld, intialize RankingScore &quot;</span></div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;                   <span class="stringliteral">&quot;in %.3f ms\n&quot;</span>,</div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;                   m, nq, nb, <a class="code" href="namespacefaiss.html#af2a71f7d5402ae02ce169a4cc83020eb">getmillisecs</a> () - t0);</div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;        }</div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;</div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;        <a class="code" href="structfaiss_1_1SimulatedAnnealingOptimizer.html">SimulatedAnnealingOptimizer</a> optim (obj, *<span class="keyword">this</span>);</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;</div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;        <span class="keywordflow">if</span> (log_pattern.size()) {</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;            <span class="keywordtype">char</span> fname[256];</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;            snprintf (fname, 256, log_pattern.c_str(), m);</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;            printf (<span class="stringliteral">&quot;opening log file %s\n&quot;</span>, fname);</div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;            optim.logfile = fopen (fname, <span class="stringliteral">&quot;w&quot;</span>);</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;            FAISS_ASSERT (optim.logfile || !<span class="stringliteral">&quot;could not open logfile&quot;</span>);</div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;        }</div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;</div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;        std::vector&lt;int&gt; perm (pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a0feee45e4151547b7a0444c14bad398f">ksub</a>);</div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;</div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;        <span class="keywordtype">double</span> final_cost = optim.run_optimization (perm.data());</div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;        printf (<span class="stringliteral">&quot;SimulatedAnnealingOptimizer for m=%d: %g -&gt; %g\n&quot;</span>,</div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160;                m, optim.<a class="code" href="structfaiss_1_1SimulatedAnnealingOptimizer.html#aa8ff19f97482c6213b2a8ff3b190412b">init_cost</a>, final_cost);</div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;</div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;        <span class="keywordflow">if</span> (log_pattern.size()) fclose (optim.logfile);</div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;</div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;        <span class="keyword">delete</span> obj;</div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;</div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;        <span class="keywordtype">float</span> * centroids = pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a4f0f33c011dffe633a1748a48a082c22">get_centroids</a> (m, 0);</div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;</div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;        std::vector&lt;float&gt; centroids_copy;</div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; dsub * pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a0feee45e4151547b7a0444c14bad398f">ksub</a>; i++)</div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;            centroids_copy.push_back (centroids[i]);</div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;</div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; pq.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a0feee45e4151547b7a0444c14bad398f">ksub</a>; i++)</div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;            memcpy (centroids + perm[i] * dsub,</div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;                    centroids_copy.data() + i * dsub,</div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;                    dsub * <span class="keyword">sizeof</span>(centroids[0]));</div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;</div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;    }</div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;</div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160;}</div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;</div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;</div>
<div class="line"><a name="l00945"></a><span class="lineno"><a class="line" href="structfaiss_1_1PolysemousTraining.html#a995374ba2f0bc2738edae72ca9142f82">  945</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1PolysemousTraining.html#a995374ba2f0bc2738edae72ca9142f82">PolysemousTraining::optimize_pq_for_hamming</a> (<a class="code" href="structfaiss_1_1ProductQuantizer.html">ProductQuantizer</a> &amp;pq,</div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;                                                <span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;    <span class="keywordflow">if</span> (optimization_type == OT_None) {</div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;</div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;    } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (optimization_type == <a class="code" href="structfaiss_1_1PolysemousTraining.html#aeb5a523056697934972f95fd428f61efa4f1f59a0027c1662a7aaf66f2a78fb23">OT_ReproduceDistances_affine</a>) {</div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;        <a class="code" href="structfaiss_1_1PolysemousTraining.html#a6989e2b573d4368e7f863edbbb2f00b8">optimize_reproduce_distances</a> (pq);</div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;        <a class="code" href="structfaiss_1_1PolysemousTraining.html#a0ac61389b6fcc7f98e998d9d0cc2664a">optimize_ranking</a> (pq, n, x);</div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;    }</div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;</div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;    pq.compute_sdc_table ();</div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;</div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;}</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;</div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;</div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;} <span class="comment">// namespace faiss</span></div>
<div class="ttc" id="structfaiss_1_1RandomGenerator_html"><div class="ttname"><a href="structfaiss_1_1RandomGenerator.html">faiss::RandomGenerator</a></div><div class="ttdoc">random generator that can be used in multithreaded contexts </div><div class="ttdef"><b>Definition:</b> <a href="utils_8h_source.html#l00049">utils.h:49</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_ac920fea11f02e8407d12cc99a09f5ea5"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#ac920fea11f02e8407d12cc99a09f5ea5">faiss::ProductQuantizer::nbits</a></div><div class="ttdeci">size_t nbits</div><div class="ttdoc">number of bits per quantization index </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00030">ProductQuantizer.h:30</a></div></div>
<div class="ttc" id="namespacefaiss_html_a7466bd32de31640860393a701eaac5ad"><div class="ttname"><a href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">faiss::fvec_L2sqr</a></div><div class="ttdeci">float fvec_L2sqr(const float *x, const float *y, size_t d)</div><div class="ttdoc">Squared L2 distance between two vectors. </div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l00430">utils.cpp:430</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a13bf69a0dc7b4e45792d10f458e4a92d"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a13bf69a0dc7b4e45792d10f458e4a92d">faiss::ProductQuantizer::byte_per_idx</a></div><div class="ttdeci">size_t byte_per_idx</div><div class="ttdoc">nb bytes per code component (1 or 2) </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00034">ProductQuantizer.h:34</a></div></div>
<div class="ttc" id="structfaiss_1_1Score3Computer_html_a567feac7ddd3bb467a9ed30671caccb1"><div class="ttname"><a href="structfaiss_1_1Score3Computer.html#a567feac7ddd3bb467a9ed30671caccb1">faiss::Score3Computer::compute_update</a></div><div class="ttdeci">Taccu compute_update(const int *perm, int iw, int jw) const </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00495">PolysemousTraining.cpp:495</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a6bd65fb4407452f73acb7242931d09e4"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a6bd65fb4407452f73acb7242931d09e4">faiss::ProductQuantizer::sdc_table</a></div><div class="ttdeci">std::vector&lt; float &gt; sdc_table</div><div class="ttdoc">Symmetric Distance Table. </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00156">ProductQuantizer.h:156</a></div></div>
<div class="ttc" id="structfaiss_1_1SimulatedAnnealingOptimizer_html_ab258eaf892742e37dd2c3bfd3b1c39e1"><div class="ttname"><a href="structfaiss_1_1SimulatedAnnealingOptimizer.html#ab258eaf892742e37dd2c3bfd3b1c39e1">faiss::SimulatedAnnealingOptimizer::SimulatedAnnealingOptimizer</a></div><div class="ttdeci">SimulatedAnnealingOptimizer(PermutationObjective *obj, const SimulatedAnnealingParameters &amp;p)</div><div class="ttdoc">logs values of the cost function </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00068">PolysemousTraining.cpp:68</a></div></div>
<div class="ttc" id="structfaiss_1_1SimulatedAnnealingOptimizer_html_a90edfc401372aa1a2a832b403e26bfd1"><div class="ttname"><a href="structfaiss_1_1SimulatedAnnealingOptimizer.html#a90edfc401372aa1a2a832b403e26bfd1">faiss::SimulatedAnnealingOptimizer::n</a></div><div class="ttdeci">int n</div><div class="ttdoc">size of the permutation </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8h_source.html#l00103">PolysemousTraining.h:103</a></div></div>
<div class="ttc" id="structfaiss_1_1Score3Computer_html_a07a726903418960a2d8000506d88f8e6"><div class="ttname"><a href="structfaiss_1_1Score3Computer.html#a07a726903418960a2d8000506d88f8e6">faiss::Score3Computer::compute</a></div><div class="ttdeci">Taccu compute(const int *perm) const </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00464">PolysemousTraining.cpp:464</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a467b451ca203544e42c250e4be65b983"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a467b451ca203544e42c250e4be65b983">faiss::ProductQuantizer::dsub</a></div><div class="ttdeci">size_t dsub</div><div class="ttdoc">dimensionality of each subvector </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00033">ProductQuantizer.h:33</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_ae5a340ee5a4b1d35a565b167de2a2ef1"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#ae5a340ee5a4b1d35a565b167de2a2ef1">faiss::ProductQuantizer::compute_codes</a></div><div class="ttdeci">void compute_codes(const float *x, uint8_t *codes, size_t n) const </div><div class="ttdoc">same as compute_code for several vectors </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8cpp_source.html#l00385">ProductQuantizer.cpp:385</a></div></div>
<div class="ttc" id="structfaiss_1_1Score3Computer_html_a98da6005edbb5ec26311bc947866122d"><div class="ttname"><a href="structfaiss_1_1Score3Computer.html#a98da6005edbb5ec26311bc947866122d">faiss::Score3Computer::update_j_line</a></div><div class="ttdeci">Taccu update_j_line(const int *perm, int iw, int jw, int ip0, int ip, int jp0, int jp, const Ttab *n_gt_ij) const </div><div class="ttdoc">compute update on a line of k&amp;#39;s, where i and j are swapped </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00594">PolysemousTraining.cpp:594</a></div></div>
<div class="ttc" id="structfaiss_1_1ReproduceDistancesObjective_html_ac99d739f81e13e841ba7d81d90629aef"><div class="ttname"><a href="structfaiss_1_1ReproduceDistancesObjective.html#ac99d739f81e13e841ba7d81d90629aef">faiss::ReproduceDistancesObjective::target_dis</a></div><div class="ttdeci">const double * target_dis</div><div class="ttdoc">wanted distances (size n^2) </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8h_source.html#l00070">PolysemousTraining.h:70</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_aa61330eadb84772b71018b093773a5f9"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#aa61330eadb84772b71018b093773a5f9">faiss::ProductQuantizer::code_size</a></div><div class="ttdeci">size_t code_size</div><div class="ttdoc">byte per indexed vector </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00035">ProductQuantizer.h:35</a></div></div>
<div class="ttc" id="structfaiss_1_1SimulatedAnnealingOptimizer_html_aa8ff19f97482c6213b2a8ff3b190412b"><div class="ttname"><a href="structfaiss_1_1SimulatedAnnealingOptimizer.html#aa8ff19f97482c6213b2a8ff3b190412b">faiss::SimulatedAnnealingOptimizer::init_cost</a></div><div class="ttdeci">double init_cost</div><div class="ttdoc">remember intial cost of optimization </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8h_source.html#l00111">PolysemousTraining.h:111</a></div></div>
<div class="ttc" id="structfaiss_1_1RandomGenerator_html_a583f124ecacdbe037ac96e23a44dd420"><div class="ttname"><a href="structfaiss_1_1RandomGenerator.html#a583f124ecacdbe037ac96e23a44dd420">faiss::RandomGenerator::rand_int</a></div><div class="ttdeci">int rand_int()</div><div class="ttdoc">random 31-bit positive integer </div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a0feee45e4151547b7a0444c14bad398f"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a0feee45e4151547b7a0444c14bad398f">faiss::ProductQuantizer::ksub</a></div><div class="ttdeci">size_t ksub</div><div class="ttdoc">number of centroids for each subquantizer </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00036">ProductQuantizer.h:36</a></div></div>
<div class="ttc" id="structfaiss_1_1PolysemousTraining_html_a0ac61389b6fcc7f98e998d9d0cc2664a"><div class="ttname"><a href="structfaiss_1_1PolysemousTraining.html#a0ac61389b6fcc7f98e998d9d0cc2664a">faiss::PolysemousTraining::optimize_ranking</a></div><div class="ttdeci">void optimize_ranking(ProductQuantizer &amp;pq, size_t n, const float *x) const </div><div class="ttdoc">called by optimize_pq_for_hamming </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00839">PolysemousTraining.cpp:839</a></div></div>
<div class="ttc" id="namespacefaiss_html_a3d9c7db82d43c1f0ab1d28b92bc9fe57"><div class="ttname"><a href="namespacefaiss.html#a3d9c7db82d43c1f0ab1d28b92bc9fe57">faiss::pairwise_L2sqr</a></div><div class="ttdeci">void pairwise_L2sqr(long d, long nq, const float *xq, long nb, const float *xb, float *dis, long ldq, long ldb, long ldd)</div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l01228">utils.cpp:1228</a></div></div>
<div class="ttc" id="structfaiss_1_1Score3Computer_html"><div class="ttname"><a href="structfaiss_1_1Score3Computer.html">faiss::Score3Computer</a></div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00452">PolysemousTraining.cpp:452</a></div></div>
<div class="ttc" id="namespacefaiss_html_af2a71f7d5402ae02ce169a4cc83020eb"><div class="ttname"><a href="namespacefaiss.html#af2a71f7d5402ae02ce169a4cc83020eb">faiss::getmillisecs</a></div><div class="ttdeci">double getmillisecs()</div><div class="ttdoc">ms elapsed since some arbitrary epoch </div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l00071">utils.cpp:71</a></div></div>
<div class="ttc" id="structfaiss_1_1ReproduceDistancesObjective_html_a982332b44ff32b9ae9694e374acd0aff"><div class="ttname"><a href="structfaiss_1_1ReproduceDistancesObjective.html#a982332b44ff32b9ae9694e374acd0aff">faiss::ReproduceDistancesObjective::weights</a></div><div class="ttdeci">std::vector&lt; double &gt; weights</div><div class="ttdoc">weights for each distance (size n^2) </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8h_source.html#l00071">PolysemousTraining.h:71</a></div></div>
<div class="ttc" id="structfaiss_1_1RankingScore2_html_a16c753a4136b3c851ea81133a26a02da"><div class="ttname"><a href="structfaiss_1_1RankingScore2.html#a16c753a4136b3c851ea81133a26a02da">faiss::RankingScore2::accum_gt_weight_diff</a></div><div class="ttdeci">double accum_gt_weight_diff(const std::vector&lt; int &gt; &amp;a, const std::vector&lt; int &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00695">PolysemousTraining.cpp:695</a></div></div>
<div class="ttc" id="structfaiss_1_1SimulatedAnnealingParameters_html"><div class="ttname"><a href="structfaiss_1_1SimulatedAnnealingParameters.html">faiss::SimulatedAnnealingParameters</a></div><div class="ttdoc">parameters used for the simulated annealing method </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8h_source.html#l00026">PolysemousTraining.h:26</a></div></div>
<div class="ttc" id="structfaiss_1_1IndirectSort_html"><div class="ttname"><a href="structfaiss_1_1IndirectSort.html">faiss::IndirectSort</a></div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00660">PolysemousTraining.cpp:660</a></div></div>
<div class="ttc" id="structfaiss_1_1Score3Computer_html_acf371848bac76ba275ceb5e10f805d33"><div class="ttname"><a href="structfaiss_1_1Score3Computer.html#acf371848bac76ba275ceb5e10f805d33">faiss::Score3Computer::update_i_cross</a></div><div class="ttdeci">Taccu update_i_cross(const int *perm, int iw, int jw, int ip0, int ip, const Ttab *n_gt_i) const </div><div class="ttdoc">considers the 2 pairs of crossing lines j=iw or jw and k = iw or kw </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00615">PolysemousTraining.cpp:615</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a83600e328893ce5f41fe459f5a3acf41"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a83600e328893ce5f41fe459f5a3acf41">faiss::ProductQuantizer::M</a></div><div class="ttdeci">size_t M</div><div class="ttdoc">number of subquantizers </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00029">ProductQuantizer.h:29</a></div></div>
<div class="ttc" id="structfaiss_1_1PolysemousTraining_html_aeb5a523056697934972f95fd428f61efa4f1f59a0027c1662a7aaf66f2a78fb23"><div class="ttname"><a href="structfaiss_1_1PolysemousTraining.html#aeb5a523056697934972f95fd428f61efa4f1f59a0027c1662a7aaf66f2a78fb23">faiss::PolysemousTraining::OT_ReproduceDistances_affine</a></div><div class="ttdoc">default </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8h_source.html#l00131">PolysemousTraining.h:131</a></div></div>
<div class="ttc" id="structfaiss_1_1PermutationObjective_html"><div class="ttname"><a href="structfaiss_1_1PermutationObjective.html">faiss::PermutationObjective</a></div><div class="ttdoc">abstract class for the loss function </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8h_source.html#l00045">PolysemousTraining.h:45</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html">faiss::ProductQuantizer</a></div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00026">ProductQuantizer.h:26</a></div></div>
<div class="ttc" id="structfaiss_1_1Score3Computer_html_a227601c3dc8779bb13747ba04934e0c8"><div class="ttname"><a href="structfaiss_1_1Score3Computer.html#a227601c3dc8779bb13747ba04934e0c8">faiss::Score3Computer::update_k</a></div><div class="ttdeci">Taccu update_k(const int *perm, int iw, int jw, int ip0, int ip, int jp0, int jp, int k, const Ttab *n_gt_ij) const </div><div class="ttdoc">used for the 8 cells were the 3 indices are swapped </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00575">PolysemousTraining.cpp:575</a></div></div>
<div class="ttc" id="structfaiss_1_1ReproduceDistancesObjective_html_a6681846eb7751b32a907d075fff6770b"><div class="ttname"><a href="structfaiss_1_1ReproduceDistancesObjective.html#a6681846eb7751b32a907d075fff6770b">faiss::ReproduceDistancesObjective::source_dis</a></div><div class="ttdeci">std::vector&lt; double &gt; source_dis</div><div class="ttdoc">&amp;quot;real&amp;quot; corrected distances (size n^2) </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8h_source.html#l00069">PolysemousTraining.h:69</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a4f0f33c011dffe633a1748a48a082c22"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a4f0f33c011dffe633a1748a48a082c22">faiss::ProductQuantizer::get_centroids</a></div><div class="ttdeci">float * get_centroids(size_t m, size_t i)</div><div class="ttdoc">return the centroids associated with subvector m </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00056">ProductQuantizer.h:56</a></div></div>
<div class="ttc" id="structfaiss_1_1PolysemousTraining_html_a6989e2b573d4368e7f863edbbb2f00b8"><div class="ttname"><a href="structfaiss_1_1PolysemousTraining.html#a6989e2b573d4368e7f863edbbb2f00b8">faiss::PolysemousTraining::optimize_reproduce_distances</a></div><div class="ttdeci">void optimize_reproduce_distances(ProductQuantizer &amp;pq) const </div><div class="ttdoc">called by optimize_pq_for_hamming </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00776">PolysemousTraining.cpp:776</a></div></div>
<div class="ttc" id="structfaiss_1_1PolysemousTraining_html_a995374ba2f0bc2738edae72ca9142f82"><div class="ttname"><a href="structfaiss_1_1PolysemousTraining.html#a995374ba2f0bc2738edae72ca9142f82">faiss::PolysemousTraining::optimize_pq_for_hamming</a></div><div class="ttdeci">void optimize_pq_for_hamming(ProductQuantizer &amp;pq, size_t n, const float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00945">PolysemousTraining.cpp:945</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a567cd512438f9e3404d9339a232d7695"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a567cd512438f9e3404d9339a232d7695">faiss::ProductQuantizer::d</a></div><div class="ttdeci">size_t d</div><div class="ttdoc">size of the input vectors </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00028">ProductQuantizer.h:28</a></div></div>
<div class="ttc" id="structfaiss_1_1RankingScore2_html"><div class="ttname"><a href="structfaiss_1_1RankingScore2.html">faiss::RankingScore2</a></div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00667">PolysemousTraining.cpp:667</a></div></div>
<div class="ttc" id="structfaiss_1_1SimulatedAnnealingOptimizer_html"><div class="ttname"><a href="structfaiss_1_1SimulatedAnnealingOptimizer.html">faiss::SimulatedAnnealingOptimizer</a></div><div class="ttdoc">Simulated annealing optimization algorithm for permutations. </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8h_source.html#l00100">PolysemousTraining.h:100</a></div></div>
<div class="ttc" id="structfaiss_1_1Score3Computer_html_a49fe0b8ba9665f6997e4f413409c174c"><div class="ttname"><a href="structfaiss_1_1Score3Computer.html#a49fe0b8ba9665f6997e4f413409c174c">faiss::Score3Computer::compute_cost</a></div><div class="ttdeci">virtual double compute_cost(const int *perm) const </div><div class="ttdef"><b>Definition:</b> <a href="PolysemousTraining_8cpp_source.html#l00640">PolysemousTraining.cpp:640</a></div></div>
</div><!-- fragment --></div><!-- contents -->
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Generated by &#160;<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/>
</a> 1.8.5
</small></address>
</body>
</html>