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<div class="title">/data/users/hoss/faiss/VectorTransform.cpp</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (c) Facebook, Inc. and its affiliates.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * This source code is licensed under the MIT license found in the</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * LICENSE file in the root directory of this source tree.</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> </div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// -*- c++ -*-</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include "VectorTransform.h"</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include <cstdio></span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include <cmath></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include <cstring></span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include "utils.h"</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include "FaissAssert.h"</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include "IndexPQ.h"</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">using namespace </span>faiss;</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">extern</span> <span class="stringliteral">"C"</span> {</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// this is to keep the clang syntax checker happy</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#ifndef FINTEGER</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor"></span><span class="preprocessor">#define FINTEGER int</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">/* declare BLAS functions, see http://www.netlib.org/clapack/cblas/ */</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keywordtype">int</span> sgemm_ (</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *transa, <span class="keyword">const</span> <span class="keywordtype">char</span> *transb, FINTEGER *m, FINTEGER *</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  n, FINTEGER *k, <span class="keyword">const</span> <span class="keywordtype">float</span> *alpha, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  FINTEGER *lda, <span class="keyword">const</span> <span class="keywordtype">float</span> *b,</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  FINTEGER *ldb, <span class="keywordtype">float</span> *beta,</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordtype">float</span> *c, FINTEGER *ldc);</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keywordtype">int</span> ssyrk_ (</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *uplo, <span class="keyword">const</span> <span class="keywordtype">char</span> *trans, FINTEGER *n, FINTEGER *k,</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordtype">float</span> *alpha, <span class="keywordtype">float</span> *a, FINTEGER *lda,</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordtype">float</span> *beta, <span class="keywordtype">float</span> *c, FINTEGER *ldc);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">/* Lapack functions from http://www.netlib.org/clapack/old/single/ */</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="keywordtype">int</span> ssyev_ (</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *jobz, <span class="keyword">const</span> <span class="keywordtype">char</span> *uplo, FINTEGER *n, <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  FINTEGER *lda, <span class="keywordtype">float</span> *w, <span class="keywordtype">float</span> *work, FINTEGER *lwork,</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  FINTEGER *info);</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keywordtype">int</span> dsyev_ (</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *jobz, <span class="keyword">const</span> <span class="keywordtype">char</span> *uplo, FINTEGER *n, <span class="keywordtype">double</span> *a,</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  FINTEGER *lda, <span class="keywordtype">double</span> *w, <span class="keywordtype">double</span> *work, FINTEGER *lwork,</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  FINTEGER *info);</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keywordtype">int</span> sgesvd_(</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *jobu, <span class="keyword">const</span> <span class="keywordtype">char</span> *jobvt, FINTEGER *m, FINTEGER *n,</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordtype">float</span> *a, FINTEGER *lda, <span class="keywordtype">float</span> *s, <span class="keywordtype">float</span> *u, FINTEGER *ldu, <span class="keywordtype">float</span> *vt,</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  FINTEGER *ldvt, <span class="keywordtype">float</span> *work, FINTEGER *lwork, FINTEGER *info);</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> }</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"> * VectorTransform</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="structfaiss_1_1VectorTransform.html#af3b3a8bf95911f4b28128001c83f91a5"> 70</a></span> <span class="keywordtype">float</span> * <a class="code" href="structfaiss_1_1VectorTransform.html#af3b3a8bf95911f4b28128001c83f91a5">VectorTransform::apply</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">Index::idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> * x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordtype">float</span> * xt = <span class="keyword">new</span> <span class="keywordtype">float</span>[n * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>];</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#a90f1a218c224c049f1bd8b77a78d6aa0">apply_noalloc</a> (n, x, xt);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">return</span> xt;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="structfaiss_1_1VectorTransform.html#a7350d4dd28d60866d55ba4f75d2da84c"> 78</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1VectorTransform.html#a7350d4dd28d60866d55ba4f75d2da84c">VectorTransform::train</a> (idx_t, <span class="keyword">const</span> <span class="keywordtype">float</span> *) {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="comment">// does nothing by default</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="structfaiss_1_1VectorTransform.html#a101ce54f1c60df19478801aa942470d9"> 83</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1VectorTransform.html#a101ce54f1c60df19478801aa942470d9">VectorTransform::reverse_transform</a> (</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  idx_t , <span class="keyword">const</span> <span class="keywordtype">float</span> *,</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordtype">float</span> *)<span class="keyword"> const</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  FAISS_THROW_MSG (<span class="stringliteral">"reverse transform not implemented"</span>);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> }</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"> * LinearTransform</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment"></span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment">/// both d_in > d_out and d_out < d_in are supported</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#a2fffd6064defb7c3fdaf143c0c4a9bc7"> 98</a></span> <span class="comment"></span><a class="code" href="structfaiss_1_1LinearTransform.html#a2fffd6064defb7c3fdaf143c0c4a9bc7">LinearTransform::LinearTransform</a> (<span class="keywordtype">int</span> d_in, <span class="keywordtype">int</span> d_out,</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordtype">bool</span> have_bias):</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (d_in, d_out), have_bias (have_bias),</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  is_orthonormal (false), verbose (false)</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> {</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">false</span>; <span class="comment">// will be trained when A and b are initialized</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#af9c20b4ae67691b5713489884ca9f80f"> 106</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1LinearTransform.html#af9c20b4ae67691b5713489884ca9f80f">LinearTransform::apply_noalloc</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">Index::idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordtype">float</span> * xt)<span class="keyword"> const</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  FAISS_THROW_IF_NOT_MSG(<a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a>, <span class="stringliteral">"Transformation not trained yet"</span>);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordtype">float</span> c_factor;</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordflow">if</span> (have_bias) {</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  FAISS_THROW_IF_NOT_MSG (<a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>.size() == <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, <span class="stringliteral">"Bias not initialized"</span>);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordtype">float</span> * xi = xt;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++)</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++)</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  *xi++ = <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>[j];</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  c_factor = 1.0;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  c_factor = 0.0;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  FAISS_THROW_IF_NOT_MSG (<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.size() == <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in,</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="stringliteral">"Transformation matrix not initialized"</span>);</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordtype">float</span> one = 1;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  FINTEGER nbiti = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, ni = n, di = d_in;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  sgemm_ (<span class="stringliteral">"Transposed"</span>, <span class="stringliteral">"Not transposed"</span>,</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  &nbiti, &ni, &di,</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  &one, <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data(), &di, x, &di, &c_factor, xt, &nbiti);</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> }</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00135"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#a1642efca4f5eb524c29722b0441c4d13"> 135</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1LinearTransform.html#a1642efca4f5eb524c29722b0441c4d13">LinearTransform::transform_transpose</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">if</span> (have_bias) { <span class="comment">// allocate buffer to store bias-corrected data</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keywordtype">float</span> *y_new = <span class="keyword">new</span> <span class="keywordtype">float</span> [n * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>];</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> *yr = y;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordtype">float</span> *yw = y_new;</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">for</span> (idx_t i = 0; i < n; i++) {</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++) {</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  *yw++ = *yr++ - <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a> [j];</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  }</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  y = y_new;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  }</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  {</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  FINTEGER dii = d_in, doi = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, ni = n;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordtype">float</span> one = 1.0, zero = 0.0;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  sgemm_ (<span class="stringliteral">"Not"</span>, <span class="stringliteral">"Not"</span>, &dii, &ni, &doi,</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  &one, <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data (), &dii, y, &doi, &zero, x, &dii);</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  }</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">if</span> (have_bias) <span class="keyword">delete</span> [] y;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> }</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#aca77897ef5c27c69374b4d9555e5b332"> 160</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1LinearTransform.html#aca77897ef5c27c69374b4d9555e5b332">LinearTransform::set_is_orthonormal</a> ()</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> {</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> > d_in) {</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="comment">// not clear what we should do in this case</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> == 0) { <span class="comment">// borderline case, unnormalized matrix</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  }</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordtype">double</span> eps = 4e-5;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  FAISS_ASSERT(<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.size() >= <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in);</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  {</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  std::vector<float> ATA(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  FINTEGER dii = d_in, doi = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordtype">float</span> one = 1.0, zero = 0.0;</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  sgemm_ (<span class="stringliteral">"Transposed"</span>, <span class="stringliteral">"Not"</span>, &doi, &doi, &dii,</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  &one, <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data (), &dii,</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data(), &dii,</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  &zero, ATA.data(), &doi);</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i = 0; i < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> j = 0; j < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++) {</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordtype">float</span> v = ATA[i + j * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>];</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">if</span> (i == j) v-= 1;</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordflow">if</span> (fabs(v) > eps) {</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  is_orthonormal = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  }</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  }</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  }</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  }</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> }</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a name="l00199"></a><span class="lineno"><a class="line" href="structfaiss_1_1LinearTransform.html#a078caa663cf329de13851ebb026fb5d5"> 199</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1LinearTransform.html#a078caa663cf329de13851ebb026fb5d5">LinearTransform::reverse_transform</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span> * xt,</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a>) {</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#a1642efca4f5eb524c29722b0441c4d13">transform_transpose</a> (n, xt, x);</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  FAISS_THROW_MSG (<span class="stringliteral">"reverse transform not implemented for non-orthonormal matrices"</span>);</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  }</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> }</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> </div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment"> * RandomRotationMatrix</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> </div>
<div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="structfaiss_1_1RandomRotationMatrix.html#a857ad8c32fb76b3298d4eea4338ff66f"> 215</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1RandomRotationMatrix.html#a857ad8c32fb76b3298d4eea4338ff66f">RandomRotationMatrix::init</a> (<span class="keywordtype">int</span> seed)</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> {</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">if</span>(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> <= d_in) {</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in);</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordtype">float</span> *q = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  float_randn(q, <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in, seed);</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <a class="code" href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">matrix_qr</a>(d_in, <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, q);</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="comment">// use tight-frame transformation</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keywordtype">float</span> *q = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  float_randn(q, d_out * d_out, seed);</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <a class="code" href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">matrix_qr</a>(d_out, d_out, q);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="comment">// remove columns</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordtype">int</span> i, j;</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">for</span> (i = 0; i < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">for</span>(j = 0; j < d_in; j++) {</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  q[i * d_in + j] = q[i * d_out + j];</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  }</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  }</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize(d_in * d_out);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  }</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> }</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a name="l00242"></a><span class="lineno"><a class="line" href="structfaiss_1_1RandomRotationMatrix.html#a5ae68bbd58cf20debb00636cb1b9c490"> 242</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1RandomRotationMatrix.html#a5ae68bbd58cf20debb00636cb1b9c490">RandomRotationMatrix::train</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">Index::idx_t</a> <span class="comment">/*n*/</span>, <span class="keyword">const</span> <span class="keywordtype">float</span> *<span class="comment">/*x*/</span>)</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> {</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="comment">// initialize with some arbitrary seed</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="structfaiss_1_1RandomRotationMatrix.html#a857ad8c32fb76b3298d4eea4338ff66f">init</a> (12345);</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> }</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> </div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="comment"> * PCAMatrix</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> PCAMatrix::PCAMatrix (<span class="keywordtype">int</span> d_in, <span class="keywordtype">int</span> d_out,</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keywordtype">float</span> eigen_power, <span class="keywordtype">bool</span> random_rotation):</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <a class="code" href="structfaiss_1_1LinearTransform.html">LinearTransform</a>(d_in, d_out, true),</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  eigen_power(eigen_power), random_rotation(random_rotation)</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> {</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  max_points_per_d = 1000;</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  balanced_bins = 0;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> }</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> </div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="keyword">namespace </span>{</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment"></span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment">/// Compute the eigenvalue decomposition of symmetric matrix cov,</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment">/// dimensions d_in-by-d_in. Output eigenvectors in cov.</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment"></span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="keywordtype">void</span> eig(<span class="keywordtype">size_t</span> d_in, <span class="keywordtype">double</span> *cov, <span class="keywordtype">double</span> *eigenvalues, <span class="keywordtype">int</span> verbose)</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> {</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  { <span class="comment">// compute eigenvalues and vectors</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  FINTEGER info = 0, lwork = -1, di = d_in;</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keywordtype">double</span> workq;</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  dsyev_ (<span class="stringliteral">"Vectors as well"</span>, <span class="stringliteral">"Upper"</span>,</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  &di, cov, &di, eigenvalues, &workq, &lwork, &info);</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  lwork = FINTEGER(workq);</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keywordtype">double</span> *work = <span class="keyword">new</span> <span class="keywordtype">double</span>[lwork];</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> </div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  dsyev_ (<span class="stringliteral">"Vectors as well"</span>, <span class="stringliteral">"Upper"</span>,</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  &di, cov, &di, eigenvalues, work, &lwork, &info);</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keyword">delete</span> [] work;</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span> </div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keywordflow">if</span> (info != 0) {</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  fprintf (stderr, <span class="stringliteral">"WARN ssyev info returns %d, "</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="stringliteral">"a very bad PCA matrix is learnt\n"</span>,</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keywordtype">int</span>(info));</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="comment">// do not throw exception, as the matrix could still be useful</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  }</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span> </div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> </div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keywordflow">if</span>(verbose && d_in <= 10) {</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  printf(<span class="stringliteral">"info=%ld new eigvals=["</span>, <span class="keywordtype">long</span>(info));</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++) printf(<span class="stringliteral">"%g "</span>, eigenvalues[j]);</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  printf(<span class="stringliteral">"]\n"</span>);</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> </div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordtype">double</span> *ci = cov;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  printf(<span class="stringliteral">"eigenvecs=\n"</span>);</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i < d_in; i++) {</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  printf(<span class="stringliteral">"%10.4g "</span>, *ci++);</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  printf(<span class="stringliteral">"\n"</span>);</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  }</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  }</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> </div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  }</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> </div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="comment">// revert order of eigenvectors & values</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> </div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i < d_in / 2; i++) {</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> </div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  std::swap(eigenvalues[i], eigenvalues[d_in - 1 - i]);</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keywordtype">double</span> *v1 = cov + i * d_in;</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keywordtype">double</span> *v2 = cov + (d_in - 1 - i) * d_in;</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  std::swap(v1[j], v2[j]);</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  }</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> </div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span> }</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> </div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> </div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> }</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> </div>
<div class="line"><a name="l00325"></a><span class="lineno"><a class="line" href="structfaiss_1_1PCAMatrix.html#a8f2dd12da8dce3cbeb22da9c5d4ec3e7"> 325</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1PCAMatrix.html#a8f2dd12da8dce3cbeb22da9c5d4ec3e7">PCAMatrix::train</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">Index::idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> {</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> * x_in = x;</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  x = <a class="code" href="namespacefaiss.html#a14884d253128c7af5891a65082ad7dc6">fvecs_maybe_subsample</a> (d_in, (<span class="keywordtype">size_t</span>*)&n,</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#abdce90f57a3c4401f5230f03da901e0d">max_points_per_d</a> * d_in, x, verbose);</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del_x (x != x_in ? x : <span class="keyword">nullptr</span>);</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> </div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="comment">// compute mean</span></div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>.clear(); <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>.resize(d_in, 0.0);</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">if</span> (have_bias) { <span class="comment">// we may want to skip the bias</span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> *xi = x;</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j] += *xi++;</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  }</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j] /= n;</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  }</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <span class="keywordflow">if</span>(verbose) {</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  printf(<span class="stringliteral">"mean=["</span>);</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++) printf(<span class="stringliteral">"%g "</span>, <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j]);</div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  printf(<span class="stringliteral">"]\n"</span>);</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  }</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span> </div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keywordflow">if</span>(n >= d_in) {</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="comment">// compute covariance matrix, store it in PCA matrix</span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.resize(d_in * d_in);</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="keywordtype">float</span> * cov = <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data();</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  { <span class="comment">// initialize with mean * mean^T term</span></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <span class="keywordtype">float</span> *ci = cov;</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i < d_in; i++) {</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  *ci++ = - n * <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[i] * <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j];</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  }</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  }</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  {</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  FINTEGER di = d_in, ni = n;</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordtype">float</span> one = 1.0;</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  ssyrk_ (<span class="stringliteral">"Up"</span>, <span class="stringliteral">"Non transposed"</span>,</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  &di, &ni, &one, (<span class="keywordtype">float</span>*)x, &di, &one, cov, &di);</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span> </div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  }</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">if</span>(verbose && d_in <= 10) {</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordtype">float</span> *ci = cov;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  printf(<span class="stringliteral">"cov=\n"</span>);</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i < d_in; i++) {</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  printf(<span class="stringliteral">"%10g "</span>, *ci++);</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  printf(<span class="stringliteral">"\n"</span>);</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  }</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  }</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> </div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  std::vector<double> covd (d_in * d_in);</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < d_in * d_in; i++) covd [i] = cov [i];</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> </div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  std::vector<double> eigenvaluesd (d_in);</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span> </div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  eig (d_in, covd.data (), eigenvaluesd.data (), verbose);</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> </div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < d_in * d_in; i++) <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a> [i] = covd [i];</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  eigenvalues.resize (d_in);</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> </div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < d_in; i++)</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  eigenvalues [i] = eigenvaluesd [i];</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> </div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> </div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> </div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  std::vector<float> xc (n * d_in);</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> </div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < n; i++)</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  xc [i * d_in + j] = x [i * d_in + j] - <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j];</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> </div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="comment">// compute Gram matrix</span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  std::vector<float> gram (n * n);</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  {</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  FINTEGER di = d_in, ni = n;</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <span class="keywordtype">float</span> one = 1.0, zero = 0.0;</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  ssyrk_ (<span class="stringliteral">"Up"</span>, <span class="stringliteral">"Transposed"</span>,</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  &ni, &di, &one, xc.data(), &di, &zero, gram.data(), &ni);</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  }</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> </div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="keywordflow">if</span>(verbose && d_in <= 10) {</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keywordtype">float</span> *ci = gram.data();</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  printf(<span class="stringliteral">"gram=\n"</span>);</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < n; j++)</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  printf(<span class="stringliteral">"%10g "</span>, *ci++);</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  printf(<span class="stringliteral">"\n"</span>);</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  }</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  }</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> </div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  std::vector<double> gramd (n * n);</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < n * n; i++)</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  gramd [i] = gram [i];</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span> </div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  std::vector<double> eigenvaluesd (n);</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span> </div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <span class="comment">// eig will fill in only the n first eigenvals</span></div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span> </div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  eig (n, gramd.data (), eigenvaluesd.data (), verbose);</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> </div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.resize(d_in * n);</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> </div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < n * n; i++)</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  gram [i] = gramd [i];</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> </div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  eigenvalues.resize (d_in);</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="comment">// fill in only the n first ones</span></div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < n; i++)</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  eigenvalues [i] = eigenvaluesd [i];</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> </div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  { <span class="comment">// compute PCAMat = x' * v</span></div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  FINTEGER di = d_in, ni = n;</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <span class="keywordtype">float</span> one = 1.0;</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span> </div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  sgemm_ (<span class="stringliteral">"Non"</span>, <span class="stringliteral">"Non Trans"</span>,</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  &di, &ni, &ni,</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  &one, xc.data(), &di, gram.data(), &ni,</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  &one, <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data(), &di);</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  }</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> </div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="keywordflow">if</span>(verbose && d_in <= 10) {</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <span class="keywordtype">float</span> *ci = <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data();</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  printf(<span class="stringliteral">"PCAMat=\n"</span>);</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  printf(<span class="stringliteral">"%10g "</span>, *ci++);</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  printf(<span class="stringliteral">"\n"</span>);</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  }</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  }</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  fvec_renorm_L2 (d_in, n, <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data());</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span> </div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  }</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span> </div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b">prepare_Ab</a>();</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span> }</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> </div>
<div class="line"><a name="l00467"></a><span class="lineno"><a class="line" href="structfaiss_1_1PCAMatrix.html#ae586dc89db6c57753c687473417742a6"> 467</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1PCAMatrix.html#ae586dc89db6c57753c687473417742a6">PCAMatrix::copy_from</a> (<span class="keyword">const</span> <a class="code" href="structfaiss_1_1PCAMatrix.html">PCAMatrix</a> & other)</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span> {</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  FAISS_THROW_IF_NOT (other.<a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a>);</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a> = other.<a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>;</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  eigenvalues = other.<a class="code" href="structfaiss_1_1PCAMatrix.html#ae80e130c0667b66cea608c4926d7d561">eigenvalues</a>;</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a> = other.<a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>;</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <a class="code" href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b">prepare_Ab</a> ();</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span> }</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span> </div>
<div class="line"><a name="l00477"></a><span class="lineno"><a class="line" href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b"> 477</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b">PCAMatrix::prepare_Ab</a> ()</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span> {</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  FAISS_THROW_IF_NOT_FMT (</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in <= <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.size(),</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <span class="stringliteral">"PCA matrix cannot output %d dimensions from %d "</span>,</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, d_in);</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span> </div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <span class="keywordflow">if</span> (!<a class="code" href="structfaiss_1_1PCAMatrix.html#af111f055b7571703a3aa270d89e99321">random_rotation</a>) {</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a> = <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>;</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in); <span class="comment">// strip off useless dimensions</span></div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span> </div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <span class="comment">// first scale the components</span></div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a> != 0) {</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="keywordtype">float</span> *ai = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <span class="keywordtype">float</span> factor = pow(eigenvalues[i], <a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a>);</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  *ai++ *= factor;</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  }</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  }</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span> </div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a> != 0) {</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> % <a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a> == 0);</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="keywordtype">int</span> dsub = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> / <a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>;</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  std::vector <float> Ain;</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  std::swap(<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>, Ain);</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> * d_in);</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span> </div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  std::vector <float> accu(<a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>);</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  std::vector <int> counter(<a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>);</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span> </div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="comment">// greedy assignment</span></div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="comment">// find best bin</span></div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <span class="keywordtype">int</span> best_j = -1;</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  <span class="keywordtype">float</span> min_w = 1e30;</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>; j++) {</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  <span class="keywordflow">if</span> (counter[j] < dsub && accu[j] < min_w) {</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  min_w = accu[j];</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  best_j = j;</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  }</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  }</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <span class="keywordtype">int</span> row_dst = best_j * dsub + counter[best_j];</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  accu[best_j] += eigenvalues[i];</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  counter[best_j] ++;</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  memcpy (&<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[row_dst * d_in], &Ain[i * d_in],</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  d_in * <span class="keyword">sizeof</span> (<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[0]));</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  }</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span> </div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  printf(<span class="stringliteral">" bin accu=["</span>);</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a>; i++)</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  printf(<span class="stringliteral">"%g "</span>, accu[i]);</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  printf(<span class="stringliteral">"]\n"</span>);</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  }</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  }</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span> </div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span> </div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  FAISS_THROW_IF_NOT_MSG (<a class="code" href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">balanced_bins</a> == 0,</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  <span class="stringliteral">"both balancing bins and applying a random rotation "</span></div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  <span class="stringliteral">"does not make sense"</span>);</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  <a class="code" href="structfaiss_1_1RandomRotationMatrix.html">RandomRotationMatrix</a> rr(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>, <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span> </div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  rr.<a class="code" href="structfaiss_1_1RandomRotationMatrix.html#a857ad8c32fb76b3298d4eea4338ff66f">init</a>(5);</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> </div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  <span class="comment">// apply scaling on the rotation matrix (right multiplication)</span></div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a> != 0) {</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  <span class="keywordtype">float</span> factor = pow(eigenvalues[i], <a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a>);</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j = 0; j < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++)</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  rr.<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[j * d_out + i] *= factor;</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  }</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  }</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span> </div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize(d_in * <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  {</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  FINTEGER dii = d_in, doo = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  <span class="keywordtype">float</span> one = 1.0, zero = 0.0;</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span> </div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  sgemm_ (<span class="stringliteral">"Not"</span>, <span class="stringliteral">"Not"</span>, &dii, &doo, &doo,</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  &one, <a class="code" href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">PCAMat</a>.data(), &dii, rr.<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data(), &doo, &zero,</div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data(), &dii);</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> </div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  }</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span> </div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  }</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span> </div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>.clear(); <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>.resize(<a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span> </div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  <span class="keywordtype">float</span> accu = 0;</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  accu -= <a class="code" href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">mean</a>[j] * <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[j + i * d_in];</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">b</a>[i] = accu;</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  }</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span> </div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <a class="code" href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">eigen_power</a> == 0;</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span> </div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span> }</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span> </div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span> <span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span> <span class="comment"> * OPQMatrix</span></div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span> <span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span> </div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span> </div>
<div class="line"><a name="l00583"></a><span class="lineno"><a class="line" href="structfaiss_1_1OPQMatrix.html#a6eb9d18ff15b1c598d3aa3bc9ab84519"> 583</a></span> <a class="code" href="structfaiss_1_1OPQMatrix.html#a6eb9d18ff15b1c598d3aa3bc9ab84519">OPQMatrix::OPQMatrix</a> (<span class="keywordtype">int</span> d, <span class="keywordtype">int</span> M, <span class="keywordtype">int</span> d2):</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  <a class="code" href="structfaiss_1_1LinearTransform.html">LinearTransform</a> (d, d2 == -1 ? d : d2, false), M(M),</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  niter (50),</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  niter_pq (4), niter_pq_0 (40),</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  verbose(false),</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  pq(nullptr)</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span> {</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  <span class="comment">// OPQ is quite expensive to train, so set this right.</span></div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  <a class="code" href="structfaiss_1_1OPQMatrix.html#afdd5b2c74d19ccc5c7a6e0199333321a">max_train_points</a> = 256 * 256;</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  <a class="code" href="structfaiss_1_1OPQMatrix.html#a01d3736c8e725f596b99440324544a59">pq</a> = <span class="keyword">nullptr</span>;</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span> }</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> </div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span> </div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span> </div>
<div class="line"><a name="l00598"></a><span class="lineno"><a class="line" href="structfaiss_1_1OPQMatrix.html#a1e314577db0c6cd4a709503f73eb71e2"> 598</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1OPQMatrix.html#a1e314577db0c6cd4a709503f73eb71e2">OPQMatrix::train</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">Index::idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span> {</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span> </div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> * x_in = x;</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span> </div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  x = <a class="code" href="namespacefaiss.html#a14884d253128c7af5891a65082ad7dc6">fvecs_maybe_subsample</a> (d_in, (<span class="keywordtype">size_t</span>*)&n,</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  <a class="code" href="structfaiss_1_1OPQMatrix.html#afdd5b2c74d19ccc5c7a6e0199333321a">max_train_points</a>, x, verbose);</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span> </div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del_x (x != x_in ? x : <span class="keyword">nullptr</span>);</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span> </div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  <span class="comment">// To support d_out > d_in, we pad input vectors with 0s to d_out</span></div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  <span class="keywordtype">size_t</span> d = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> <= d_in ? d_in : <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  <span class="keywordtype">size_t</span> d2 = <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span> </div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span> <span class="preprocessor">#if 0</span></div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span> <span class="preprocessor"></span> <span class="comment">// what this test shows: the only way of getting bit-exact</span></div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="comment">// reproducible results with sgeqrf and sgesvd seems to be forcing</span></div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="comment">// single-threading.</span></div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  { <span class="comment">// test repro</span></div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  std::vector<float> r (d * d);</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <span class="keywordtype">float</span> * rotation = r.data();</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  float_randn (rotation, d * d, 1234);</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  printf(<span class="stringliteral">"CS0: %016lx\n"</span>,</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <a class="code" href="namespacefaiss.html#a4369329c9dbdfe23e3f35d09ba7b5c6e">ivec_checksum</a> (128*128, (<span class="keywordtype">int</span>*)rotation));</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <a class="code" href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">matrix_qr</a> (d, d, rotation);</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  printf(<span class="stringliteral">"CS1: %016lx\n"</span>,</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <a class="code" href="namespacefaiss.html#a4369329c9dbdfe23e3f35d09ba7b5c6e">ivec_checksum</a> (128*128, (<span class="keywordtype">int</span>*)rotation));</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  }</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  printf (<span class="stringliteral">"OPQMatrix::train: training an OPQ rotation matrix "</span></div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <span class="stringliteral">"for M=%d from %ld vectors in %dD -> %dD\n"</span>,</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  <a class="code" href="structfaiss_1_1OPQMatrix.html#a07ad0c0c84f96a6880c1c8eaf09596e3">M</a>, n, d_in, <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>);</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  }</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span> </div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  std::vector<float> xtrain (n * d);</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <span class="comment">// center x</span></div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  {</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  std::vector<float> sum (d);</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> *xi = x;</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < n; i++) {</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  sum [j] += *xi++;</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  }</div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < d; i++) sum[i] /= n;</div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <span class="keywordtype">float</span> *yi = xtrain.data();</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  xi = x;</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < n; i++) {</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < d_in; j++)</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  *yi++ = *xi++ - sum[j];</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  yi += d - d_in;</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  }</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  }</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  <span class="keywordtype">float</span> *rotation;</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span> </div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.size () == 0) {</div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (d * d);</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  rotation = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  <span class="keywordflow">if</span> (verbose)</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  printf(<span class="stringliteral">" OPQMatrix::train: making random %ld*%ld rotation\n"</span>,</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  d, d);</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  float_randn (rotation, d * d, 1234);</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <a class="code" href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">matrix_qr</a> (d, d, rotation);</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <span class="comment">// we use only the d * d2 upper part of the matrix</span></div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (d * d2);</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.size() == d * d2);</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  rotation = <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.data();</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  }</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span> </div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  std::vector<float></div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  xproj (d2 * n), pq_recons (d2 * n), xxr (d * n),</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  tmp(d * d * 4);</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span> </div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span> </div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <a class="code" href="structfaiss_1_1ProductQuantizer.html">ProductQuantizer</a> pq_default (d2, <a class="code" href="structfaiss_1_1OPQMatrix.html#a07ad0c0c84f96a6880c1c8eaf09596e3">M</a>, 8);</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  <a class="code" href="structfaiss_1_1ProductQuantizer.html">ProductQuantizer</a> &pq_regular = <a class="code" href="structfaiss_1_1OPQMatrix.html#a01d3736c8e725f596b99440324544a59">pq</a> ? *<a class="code" href="structfaiss_1_1OPQMatrix.html#a01d3736c8e725f596b99440324544a59">pq</a> : pq_default;</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  std::vector<uint8_t> codes (pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#aa61330eadb84772b71018b093773a5f9">code_size</a> * n);</div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span> </div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  <span class="keywordtype">double</span> t0 = <a class="code" href="namespacefaiss.html#af2a71f7d5402ae02ce169a4cc83020eb">getmillisecs</a>();</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> iter = 0; iter < <a class="code" href="structfaiss_1_1OPQMatrix.html#a12cb3e05989dee37592b682070c31000">niter</a>; iter++) {</div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span> </div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  { <span class="comment">// torch.mm(xtrain, rotation:t())</span></div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  FINTEGER di = d, d2i = d2, ni = n;</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  <span class="keywordtype">float</span> zero = 0, one = 1;</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  sgemm_ (<span class="stringliteral">"Transposed"</span>, <span class="stringliteral">"Not transposed"</span>,</div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  &d2i, &ni, &di,</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  &one, rotation, &di,</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  xtrain.data(), &di,</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  &zero, xproj.data(), &d2i);</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  }</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span> </div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#af265acf5aa1bcda60898002287e6a3d6">cp</a>.<a class="code" href="structfaiss_1_1ClusteringParameters.html#a993e0a035248faad6e292a5ef9af1953">max_points_per_centroid</a> = 1000;</div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#af265acf5aa1bcda60898002287e6a3d6">cp</a>.<a class="code" href="structfaiss_1_1ClusteringParameters.html#a5c7c6f05c75e1668befdb3be148fd5f9">niter</a> = iter == 0 ? <a class="code" href="structfaiss_1_1OPQMatrix.html#a6406e97b05c831cc19b9343be3b43a1f">niter_pq_0</a> : <a class="code" href="structfaiss_1_1OPQMatrix.html#ab88c87a3931ec356904abf5f1f797a83">niter_pq</a>;</div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a1e4056fa3938ed8c9fe701e90d94ad95">verbose</a> = verbose;</div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  pq_regular.train (n, xproj.data());</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span> </div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  printf(<span class="stringliteral">" encode / decode\n"</span>);</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  }</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  <span class="keywordflow">if</span> (pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a62def246cfef670f2973fdf4af1414e1">assign_index</a>) {</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#aecd05d180799f3956065b0c5c54fd406">compute_codes_with_assign_index</a></div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  (xproj.data(), codes.data(), n);</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#ae5a340ee5a4b1d35a565b167de2a2ef1">compute_codes</a> (xproj.data(), codes.data(), n);</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  }</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#a7afbf9d96276f021981e99f064254208">decode</a> (codes.data(), pq_recons.data(), n);</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span> </div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  <span class="keywordtype">float</span> pq_err = <a class="code" href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">fvec_L2sqr</a> (pq_recons.data(), xproj.data(), n * d2) / n;</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span> </div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  <span class="keywordflow">if</span> (verbose)</div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  printf (<span class="stringliteral">" Iteration %d (%d PQ iterations):"</span></div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  <span class="stringliteral">"%.3f s, obj=%g\n"</span>, iter, pq_regular.<a class="code" href="structfaiss_1_1ProductQuantizer.html#af265acf5aa1bcda60898002287e6a3d6">cp</a>.<a class="code" href="structfaiss_1_1ClusteringParameters.html#a5c7c6f05c75e1668befdb3be148fd5f9">niter</a>,</div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  (<a class="code" href="namespacefaiss.html#af2a71f7d5402ae02ce169a4cc83020eb">getmillisecs</a> () - t0) / 1000.0, pq_err);</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span> </div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  {</div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  <span class="keywordtype">float</span> *u = tmp.data(), *vt = &tmp [d * d];</div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  <span class="keywordtype">float</span> *sing_val = &tmp [2 * d * d];</div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  FINTEGER di = d, d2i = d2, ni = n;</div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  <span class="keywordtype">float</span> one = 1, zero = 0;</div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span> </div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  printf(<span class="stringliteral">" X * recons\n"</span>);</div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  }</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  <span class="comment">// torch.mm(xtrain:t(), pq_recons)</span></div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  sgemm_ (<span class="stringliteral">"Not"</span>, <span class="stringliteral">"Transposed"</span>,</div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  &d2i, &di, &ni,</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  &one, pq_recons.data(), &d2i,</div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  xtrain.data(), &di,</div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  &zero, xxr.data(), &d2i);</div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span> </div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span> </div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  FINTEGER lwork = -1, info = -1;</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  <span class="keywordtype">float</span> worksz;</div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  <span class="comment">// workspace query</span></div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  sgesvd_ (<span class="stringliteral">"All"</span>, <span class="stringliteral">"All"</span>,</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  &d2i, &di, xxr.data(), &d2i,</div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  sing_val,</div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  vt, &d2i, u, &di,</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  &worksz, &lwork, &info);</div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span> </div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  lwork = int(worksz);</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  std::vector<float> work (lwork);</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  <span class="comment">// u and vt swapped</span></div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  sgesvd_ (<span class="stringliteral">"All"</span>, <span class="stringliteral">"All"</span>,</div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  &d2i, &di, xxr.data(), &d2i,</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  sing_val,</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  vt, &d2i, u, &di,</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  work.data(), &lwork, &info);</div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span> </div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  sgemm_ (<span class="stringliteral">"Transposed"</span>, <span class="stringliteral">"Transposed"</span>,</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>  &di, &d2i, &d2i,</div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  &one, u, &di, vt, &d2i,</div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  &zero, rotation, &di);</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span> </div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  }</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  pq_regular.train_type = <a class="code" href="structfaiss_1_1ProductQuantizer.html#a3a41c6286095e731be744548d9535a35a4960d143d2aa49cf92028cf3470c47a0">ProductQuantizer::Train_hot_start</a>;</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  }</div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span> </div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  <span class="comment">// revert A matrix</span></div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  <span class="keywordflow">if</span> (d > d_in) {</div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <span class="keywordflow">for</span> (<span class="keywordtype">long</span> i = 0; i < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++)</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  memmove (&<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[i * d_in], &<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[i * d], <span class="keyword">sizeof</span>(<a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>[0]) * d_in);</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">A</a>.resize (d_in * d_out);</div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  }</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span> </div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  <a class="code" href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">is_orthonormal</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span> }</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span> </div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span> </div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span> <span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span> <span class="comment"> * NormalizationTransform</span></div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span> <span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span> </div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span> NormalizationTransform::NormalizationTransform (<span class="keywordtype">int</span> d, <span class="keywordtype">float</span> norm):</div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (d, d), norm (norm)</div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span> {</div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span> }</div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span> </div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span> NormalizationTransform::NormalizationTransform ():</div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (-1, -1), norm (-1)</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span> {</div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span> }</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span> </div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1NormalizationTransform.html#a80c94dc7d17c9a7a9edc627150401571">NormalizationTransform::apply_noalloc</a></div>
<div class="line"><a name="l00786"></a><span class="lineno"><a class="line" href="structfaiss_1_1NormalizationTransform.html#a80c94dc7d17c9a7a9edc627150401571"> 786</a></span>  (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span>* x, <span class="keywordtype">float</span>* xt) <span class="keyword">const</span></div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span> {</div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  <span class="keywordflow">if</span> (norm == 2.0) {</div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  memcpy (xt, x, <span class="keyword">sizeof</span> (x[0]) * n * d_in);</div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  fvec_renorm_L2 (d_in, n, xt);</div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  FAISS_THROW_MSG (<span class="stringliteral">"not implemented"</span>);</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  }</div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span> }</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span> </div>
<div class="line"><a name="l00796"></a><span class="lineno"><a class="line" href="structfaiss_1_1NormalizationTransform.html#a58cc73dea14c1591a8812291d3d85bc0"> 796</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1NormalizationTransform.html#a58cc73dea14c1591a8812291d3d85bc0">NormalizationTransform::reverse_transform</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span>* xt,</div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  <span class="keywordtype">float</span>* x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  memcpy (x, xt, <span class="keyword">sizeof</span> (xt[0]) * n * d_in);</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span> }</div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span> </div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span> <span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span> <span class="comment"> * CenteringTransform</span></div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span> <span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span> </div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span> CenteringTransform::CenteringTransform (<span class="keywordtype">int</span> d):</div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (d, d)</div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span> {</div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span> }</div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span> </div>
<div class="line"><a name="l00812"></a><span class="lineno"><a class="line" href="structfaiss_1_1CenteringTransform.html#a626c70429e81057d953e173a38f98e3c"> 812</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1CenteringTransform.html#a626c70429e81057d953e173a38f98e3c">CenteringTransform::train</a>(<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">Index::idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x) {</div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  FAISS_THROW_IF_NOT_MSG(n > 0, <span class="stringliteral">"need at least one training vector"</span>);</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  <a class="code" href="structfaiss_1_1CenteringTransform.html#af96e272f0f51d71ed098cdfe3e4ff87d">mean</a>.resize (d_in, 0);</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  <span class="keywordflow">for</span> (idx_t i = 0; i < n; i++) {</div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < d_in; j++) {</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  <a class="code" href="structfaiss_1_1CenteringTransform.html#af96e272f0f51d71ed098cdfe3e4ff87d">mean</a>[j] += *x++;</div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  }</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  }</div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span> </div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < d_in; j++) {</div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  <a class="code" href="structfaiss_1_1CenteringTransform.html#af96e272f0f51d71ed098cdfe3e4ff87d">mean</a>[j] /= n;</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  }</div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  <a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span> }</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span> </div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span> </div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1CenteringTransform.html#aaab940f206cb54321c9729286db5f9d7">CenteringTransform::apply_noalloc</a></div>
<div class="line"><a name="l00829"></a><span class="lineno"><a class="line" href="structfaiss_1_1CenteringTransform.html#aaab940f206cb54321c9729286db5f9d7"> 829</a></span>  (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span>* x, <span class="keywordtype">float</span>* xt) <span class="keyword">const</span></div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span> {</div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  FAISS_THROW_IF_NOT (is_trained);</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span> </div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  <span class="keywordflow">for</span> (idx_t i = 0; i < n; i++) {</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < d_in; j++) {</div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  *xt++ = *x++ - mean[j];</div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  }</div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  }</div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span> }</div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span> </div>
<div class="line"><a name="l00840"></a><span class="lineno"><a class="line" href="structfaiss_1_1CenteringTransform.html#a6135ee99d20a6b7c033359563a082b99"> 840</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1CenteringTransform.html#a6135ee99d20a6b7c033359563a082b99">CenteringTransform::reverse_transform</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span>* xt,</div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  <span class="keywordtype">float</span>* x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a>);</div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span> </div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  <span class="keywordflow">for</span> (idx_t i = 0; i < n; i++) {</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < d_in; j++) {</div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  *x++ = *xt++ + <a class="code" href="structfaiss_1_1CenteringTransform.html#af96e272f0f51d71ed098cdfe3e4ff87d">mean</a>[j];</div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  }</div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  }</div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span> </div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span> }</div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span> </div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span> </div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span> <span class="comment">/*********************************************</span></div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span> <span class="comment"> * IndexPreTransform</span></div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span> <span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span> </div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span> IndexPreTransform::IndexPreTransform ():</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  index(nullptr), own_fields (false)</div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span> {</div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span> }</div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span> </div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span> </div>
<div class="line"><a name="l00864"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a2b16a03c38aa892292ba7a33da2ff7c4"> 864</a></span> IndexPreTransform::IndexPreTransform (</div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>  <a class="code" href="structfaiss_1_1Index.html">Index</a> * index):</div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  <a class="code" href="structfaiss_1_1Index.html">Index</a> (index->d, index->metric_type),</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>  index (index), own_fields (false)</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span> {</div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>  <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> = index-><a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>;</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = index-><a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a>;</div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span> }</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span> </div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span> </div>
<div class="line"><a name="l00874"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a7697b1e693b0f099c3c3ec732329c533"> 874</a></span> IndexPreTransform::IndexPreTransform (</div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> * ltrans,</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  <a class="code" href="structfaiss_1_1Index.html">Index</a> * index):</div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  <a class="code" href="structfaiss_1_1Index.html">Index</a> (index->d, index->metric_type),</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  index (index), own_fields (false)</div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span> {</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>  <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> = index-><a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>;</div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = index-><a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a>;</div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  prepend_transform (ltrans);</div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span> }</div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span> </div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span> <span class="keywordtype">void</span> IndexPreTransform::prepend_transform (<a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> *ltrans)</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span> {</div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>  FAISS_THROW_IF_NOT (ltrans-><a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a> == <a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a>);</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> = <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> && ltrans-><a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a>;</div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  chain.insert (chain.begin(), ltrans);</div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  <a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a> = ltrans->d_in;</div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span> }</div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span> </div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span> </div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span> IndexPreTransform::~IndexPreTransform ()</div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span> {</div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1IndexPreTransform.html#ae5ec3f184eb211e7d6e204082b52c8c0">own_fields</a>) {</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < chain.size(); i++)</div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  <span class="keyword">delete</span> chain[i];</div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  <span class="keyword">delete</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>;</div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  }</div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span> }</div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span> </div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span> </div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span> </div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span> </div>
<div class="line"><a name="l00906"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a416aaf28d7a533dcf7d2d7de434e993c"> 906</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a416aaf28d7a533dcf7d2d7de434e993c">IndexPreTransform::train</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span> {</div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>  <span class="keywordtype">int</span> last_untrained = 0;</div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>  <span class="keywordflow">if</span> (!<a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>) {</div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>  last_untrained = chain.size();</div>
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = chain.size() - 1; i >= 0; i--) {</div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>  <span class="keywordflow">if</span> (!chain[i]-><a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>) {</div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  last_untrained = i;</div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  }</div>
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  }</div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>  }</div>
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> *prev_x = x;</div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del;</div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span> </div>
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span>  <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span>  printf(<span class="stringliteral">"IndexPreTransform::train: training chain 0 to %d\n"</span>,</div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>  last_untrained);</div>
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  }</div>
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span> </div>
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i <= last_untrained; i++) {</div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span> </div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  <span class="keywordflow">if</span> (i < chain.size()) {</div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>  <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> *ltrans = chain [i];</div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  <span class="keywordflow">if</span> (!ltrans-><a class="code" href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">is_trained</a>) {</div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>  printf(<span class="stringliteral">" Training chain component %d/%zd\n"</span>,</div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>  i, chain.size());</div>
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1OPQMatrix.html">OPQMatrix</a> *opqm = dynamic_cast<OPQMatrix*>(ltrans)) {</div>
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  opqm->verbose = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span>  }</div>
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span>  }</div>
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span>  ltrans-><a class="code" href="structfaiss_1_1VectorTransform.html#a7350d4dd28d60866d55ba4f75d2da84c">train</a> (n, prev_x);</div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>  }</div>
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>  <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>  printf(<span class="stringliteral">" Training sub-index\n"</span>);</div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>  }</div>
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#abf601502bdbfa02b9d7bcd7b3671b71d">train</a> (n, prev_x);</div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>  }</div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  <span class="keywordflow">if</span> (i == last_untrained) <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>  <span class="keywordflow">if</span> (verbose) {</div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  printf(<span class="stringliteral">" Applying transform %d/%zd\n"</span>,</div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  i, chain.size());</div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  }</div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span> </div>
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  <span class="keywordtype">float</span> * xt = chain[i]->apply (n, prev_x);</div>
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span> </div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  <span class="keywordflow">if</span> (prev_x != x) <span class="keyword">delete</span> [] prev_x;</div>
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span>  prev_x = xt;</div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  del.set(xt);</div>
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span>  }</div>
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span> </div>
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span>  <a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a> = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span> }</div>
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span> </div>
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span> </div>
<div class="line"><a name="l00964"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d"> 964</a></span> <span class="keyword">const</span> <span class="keywordtype">float</span> *<a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">IndexPreTransform::apply_chain</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> *prev_x = x;</div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del;</div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span> </div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < chain.size(); i++) {</div>
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  <span class="keywordtype">float</span> * xt = chain[i]->apply (n, prev_x);</div>
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del2 (xt);</div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>  del2.swap (del);</div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>  prev_x = xt;</div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>  }</div>
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>  del.release ();</div>
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>  <span class="keywordflow">return</span> prev_x;</div>
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span> }</div>
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span> </div>
<div class="line"><a name="l00979"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0"> 979</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">IndexPreTransform::reverse_chain</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span>* xt, <span class="keywordtype">float</span>* x)<span class="keyword"> const</span></div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span>  <span class="keyword">const</span> <span class="keywordtype">float</span>* next_x = xt;</div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del;</div>
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span> </div>
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = chain.size() - 1; i >= 0; i--) {</div>
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span>  <span class="keywordtype">float</span>* prev_x = (i == 0) ? x : <span class="keyword">new</span> <span class="keywordtype">float</span> [n * chain[i]->d_in];</div>
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del2 ((prev_x == x) ? <span class="keyword">nullptr</span> : prev_x);</div>
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span>  chain [i]->reverse_transform (n, next_x, prev_x);</div>
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span>  del2.swap (del);</div>
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span>  next_x = prev_x;</div>
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>  }</div>
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span> }</div>
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span> </div>
<div class="line"><a name="l00993"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a03c77c582a3421952e2cba2057083059"> 993</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a03c77c582a3421952e2cba2057083059">IndexPreTransform::add</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span> {</div>
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>  FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>);</div>
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> *xt = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">apply_chain</a> (n, x);</div>
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del(xt == x ? <span class="keyword">nullptr</span> : xt);</div>
<div class="line"><a name="l00998"></a><span class="lineno"> 998</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a1b5e9ac70adbce0897dd6c8276ad96f2">add</a> (n, xt);</div>
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span>  <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a>;</div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span> }</div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span> </div>
<div class="line"><a name="l01002"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a07fef0553b2ef2907f394470f61898b2"> 1002</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a07fef0553b2ef2907f394470f61898b2">IndexPreTransform::add_with_ids</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>  <span class="keyword">const</span> <span class="keywordtype">long</span> *xids)</div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span> {</div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>  FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>);</div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> *xt = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">apply_chain</a> (n, x);</div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del(xt == x ? <span class="keyword">nullptr</span> : xt);</div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#aa6931dfe054b33b02c842ff75f7a0c7f">add_with_ids</a> (n, xt, xids);</div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>  <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a>;</div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span> }</div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span> </div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span> </div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span> </div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span> </div>
<div class="line"><a name="l01015"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a7c2c820895d87083742969c281ae4911"> 1015</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a7c2c820895d87083742969c281ae4911">IndexPreTransform::search</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x, <a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> k,</div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>  <span class="keywordtype">float</span> *distances, <a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> *labels)<span class="keyword"> const</span></div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>  FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>);</div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> *xt = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">apply_chain</a> (n, x);</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del(xt == x ? <span class="keyword">nullptr</span> : xt);</div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#aced51b1ebc33c47ab3ae15ea906559a7">search</a> (n, xt, k, distances, labels);</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span> }</div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span> </div>
<div class="line"><a name="l01024"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a7d19f68aae0c30f1641ed9f2b2303bae"> 1024</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a7d19f68aae0c30f1641ed9f2b2303bae">IndexPreTransform::range_search</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span>* x, <span class="keywordtype">float</span> radius,</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>  <a class="code" href="structfaiss_1_1RangeSearchResult.html">RangeSearchResult</a>* result)<span class="keyword"> const</span></div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>  FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>);</div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> *xt = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">apply_chain</a> (n, x);</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del(xt == x ? <span class="keyword">nullptr</span> : xt);</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a236897832a58dbb205e2d662c1929fb1">range_search</a> (n, xt, radius, result);</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span> }</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span> </div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span> </div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span> </div>
<div class="line"><a name="l01035"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a8e48ac9fde5e76e378553b2a6ec2c86e"> 1035</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a8e48ac9fde5e76e378553b2a6ec2c86e">IndexPreTransform::reset</a> () {</div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a849361f5f0ab0aba8d419c86f2594191">reset</a>();</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>  <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = 0;</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span> }</div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span> </div>
<div class="line"><a name="l01040"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#ad4e59f4dacc1d8183a788510680f0df5"> 1040</a></span> <span class="keywordtype">long</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#ad4e59f4dacc1d8183a788510680f0df5">IndexPreTransform::remove_ids</a> (<span class="keyword">const</span> <a class="code" href="structfaiss_1_1IDSelector.html">IDSelector</a> & sel) {</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>  <span class="keywordtype">long</span> nremove = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#af8bf7bd97aeed8ad5fc48b242379a68a">remove_ids</a> (sel);</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>  <a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a> = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">ntotal</a>;</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>  <span class="keywordflow">return</span> nremove;</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span> }</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span> </div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span> </div>
<div class="line"><a name="l01047"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a02493fc85f4a47dce4ad7acd105320bf"> 1047</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a02493fc85f4a47dce4ad7acd105320bf">IndexPreTransform::reconstruct</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> key, <span class="keywordtype">float</span> * recons)<span class="keyword"> const</span></div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>  <span class="keywordtype">float</span> *x = chain.empty() ? recons : <span class="keyword">new</span> <span class="keywordtype">float</span> [<a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a>];</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del (recons == x ? <span class="keyword">nullptr</span> : x);</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>  <span class="comment">// Initial reconstruction</span></div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#aaef6f4132b1f390121ebb11058baf190">reconstruct</a> (key, x);</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span> </div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>  <span class="comment">// Revert transformations from last to first</span></div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">reverse_chain</a> (1, x, recons);</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span> }</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span> </div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span> </div>
<div class="line"><a name="l01059"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a370dd6ef091393401fa9b60e3d1d25b2"> 1059</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a370dd6ef091393401fa9b60e3d1d25b2">IndexPreTransform::reconstruct_n</a> (<a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> i0, <a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> ni, <span class="keywordtype">float</span> *recons)<span class="keyword"> const</span></div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>  <span class="keywordtype">float</span> *x = chain.empty() ? recons : <span class="keyword">new</span> <span class="keywordtype">float</span> [ni * <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a>];</div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del (recons == x ? <span class="keyword">nullptr</span> : x);</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>  <span class="comment">// Initial reconstruction</span></div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a1936604fffe16b0ef2a3879305950738">reconstruct_n</a> (i0, ni, x);</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span> </div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>  <span class="comment">// Revert transformations from last to first</span></div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">reverse_chain</a> (ni, x, recons);</div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span> }</div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span> </div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span> </div>
<div class="line"><a name="l01071"></a><span class="lineno"><a class="line" href="structfaiss_1_1IndexPreTransform.html#a97ceaf3f87d3d729846762295351e972"> 1071</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1IndexPreTransform.html#a97ceaf3f87d3d729846762295351e972">IndexPreTransform::search_and_reconstruct</a> (</div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>  <a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *x, <a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> k,</div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>  <span class="keywordtype">float</span> *distances, <a class="code" href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">idx_t</a> *labels, <span class="keywordtype">float</span>* recons)<span class="keyword"> const</span></div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>  FAISS_THROW_IF_NOT (<a class="code" href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">is_trained</a>);</div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span> </div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>  <span class="keyword">const</span> <span class="keywordtype">float</span>* xt = <a class="code" href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">apply_chain</a> (n, x);</div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del ((xt == x) ? <span class="keyword">nullptr</span> : xt);</div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span> </div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>  <span class="keywordtype">float</span>* recons_temp = chain.empty() ? recons : <span class="keyword">new</span> <span class="keywordtype">float</span> [n * k * <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">d</a>];</div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>  <a class="code" href="structfaiss_1_1ScopeDeleter.html">ScopeDeleter<float></a> del2 ((recons_temp == recons) ? <span class="keyword">nullptr</span> : recons_temp);</div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">index</a>-><a class="code" href="structfaiss_1_1Index.html#aa5b4e63e1064f9bf9c75625d114b353f">search_and_reconstruct</a> (n, xt, k, distances, labels, recons_temp);</div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span> </div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>  <span class="comment">// Revert transformations from last to first</span></div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>  <a class="code" href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">reverse_chain</a> (n * k, recons_temp, recons);</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span> }</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span> </div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span> </div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span> <span class="comment">/*********************************************</span></div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span> <span class="comment"> * RemapDimensionsTransform</span></div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span> <span class="comment"> *********************************************/</span></div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span> </div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span> </div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span> RemapDimensionsTransform::RemapDimensionsTransform (</div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>  <span class="keywordtype">int</span> d_in, <span class="keywordtype">int</span> d_out, <span class="keyword">const</span> <span class="keywordtype">int</span> *map_in):</div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>  <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (d_in, d_out)</div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span> {</div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>  map.resize (d_out);</div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < d_out; i++) {</div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>  map[i] = map_in[i];</div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>  FAISS_THROW_IF_NOT (map[i] == -1 || (map[i] >= 0 && map[i] < d_in));</div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>  }</div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span> }</div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span> </div>
<div class="line"><a name="l01105"></a><span class="lineno"><a class="line" href="structfaiss_1_1RemapDimensionsTransform.html#ab07ceccc4dc767a000879c72337ddd69"> 1105</a></span> RemapDimensionsTransform::RemapDimensionsTransform (</div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>  <span class="keywordtype">int</span> d_in, <span class="keywordtype">int</span> d_out, <span class="keywordtype">bool</span> uniform): <a class="code" href="structfaiss_1_1VectorTransform.html">VectorTransform</a> (d_in, d_out)</div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span> {</div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>  <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>.resize (d_out, -1);</div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span> </div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>  <span class="keywordflow">if</span> (uniform) {</div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>  <span class="keywordflow">if</span> (d_in < d_out) {</div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < d_in; i++) {</div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>  <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a> [i * d_out / d_in] = i;</div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>  }</div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++) {</div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>  <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a> [i] = i * d_in / <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>  }</div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>  }</div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < d_in && i < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; i++)</div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>  <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a> [i] = i;</div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>  }</div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span> }</div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span> </div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span> </div>
<div class="line"><a name="l01127"></a><span class="lineno"><a class="line" href="structfaiss_1_1RemapDimensionsTransform.html#a550be3d40c221d2134bf06a13dd33c4d"> 1127</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a550be3d40c221d2134bf06a13dd33c4d">RemapDimensionsTransform::apply_noalloc</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>  <span class="keywordtype">float</span> *xt)<span class="keyword"> const</span></div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>  <span class="keywordflow">for</span> (idx_t i = 0; i < n; i++) {</div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++) {</div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>  xt[j] = <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>[j] < 0 ? 0 : x[<a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>[j]];</div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>  }</div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>  x += d_in;</div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>  xt += <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>  }</div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span> }</div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span> </div>
<div class="line"><a name="l01139"></a><span class="lineno"><a class="line" href="structfaiss_1_1RemapDimensionsTransform.html#a2fc83e79e4d3c7853bfd6931cbbaf82a"> 1139</a></span> <span class="keywordtype">void</span> <a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a2fc83e79e4d3c7853bfd6931cbbaf82a">RemapDimensionsTransform::reverse_transform</a> (idx_t n, <span class="keyword">const</span> <span class="keywordtype">float</span> * xt,</div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>  <span class="keywordtype">float</span> *x)<span class="keyword"> const</span></div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>  memset (x, 0, <span class="keyword">sizeof</span> (*x) * n * d_in);</div>
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>  <span class="keywordflow">for</span> (idx_t i = 0; i < n; i++) {</div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>; j++) {</div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>  <span class="keywordflow">if</span> (<a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>[j] >= 0) x[<a class="code" href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">map</a>[j]] = xt[j];</div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>  }</div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>  x += d_in;</div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>  xt += <a class="code" href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">d_out</a>;</div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>  }</div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span> }</div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_a1642efca4f5eb524c29722b0441c4d13"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#a1642efca4f5eb524c29722b0441c4d13">faiss::LinearTransform::transform_transpose</a></div><div class="ttdeci">void transform_transpose(idx_t n, const float *y, float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00135">VectorTransform.cpp:135</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_aee3cbbe7915ec9ed13d59ca9276bdefc"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#aee3cbbe7915ec9ed13d59ca9276bdefc">faiss::IndexPreTransform::index</a></div><div class="ttdeci">Index * index</div><div class="ttdoc">! chain of tranforms </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00274">VectorTransform.h:274</a></div></div>
<div class="ttc" id="structfaiss_1_1RandomRotationMatrix_html"><div class="ttname"><a href="structfaiss_1_1RandomRotationMatrix.html">faiss::RandomRotationMatrix</a></div><div class="ttdoc">Randomly rotate a set of vectors. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00115">VectorTransform.h:115</a></div></div>
<div class="ttc" id="structfaiss_1_1ClusteringParameters_html_a5c7c6f05c75e1668befdb3be148fd5f9"><div class="ttname"><a href="structfaiss_1_1ClusteringParameters.html#a5c7c6f05c75e1668befdb3be148fd5f9">faiss::ClusteringParameters::niter</a></div><div class="ttdeci">int niter</div><div class="ttdoc">clustering iterations </div><div class="ttdef"><b>Definition:</b> <a href="Clustering_8h_source.html#l00023">Clustering.h:23</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a12cb3e05989dee37592b682070c31000"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a12cb3e05989dee37592b682070c31000">faiss::OPQMatrix::niter</a></div><div class="ttdeci">int niter</div><div class="ttdoc">Number of outer training iterations. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00191">VectorTransform.h:191</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a7afbf9d96276f021981e99f064254208"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a7afbf9d96276f021981e99f064254208">faiss::ProductQuantizer::decode</a></div><div class="ttdeci">void decode(const uint8_t *code, float *x) const </div><div class="ttdoc">decode a vector from a given code (or n vectors if third argument) </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8cpp_source.html#l00380">ProductQuantizer.cpp:380</a></div></div>
<div class="ttc" id="structfaiss_1_1CenteringTransform_html_a626c70429e81057d953e173a38f98e3c"><div class="ttname"><a href="structfaiss_1_1CenteringTransform.html#a626c70429e81057d953e173a38f98e3c">faiss::CenteringTransform::train</a></div><div class="ttdeci">void train(Index::idx_t n, const float *x) override</div><div class="ttdoc">train on n vectors. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00812">VectorTransform.cpp:812</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__simd_8cpp_source.html#l00501">utils_simd.cpp:501</a></div></div>
<div class="ttc" id="structfaiss_1_1RandomRotationMatrix_html_a857ad8c32fb76b3298d4eea4338ff66f"><div class="ttname"><a href="structfaiss_1_1RandomRotationMatrix.html#a857ad8c32fb76b3298d4eea4338ff66f">faiss::RandomRotationMatrix::init</a></div><div class="ttdeci">void init(int seed)</div><div class="ttdoc">must be called before the transform is used </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00215">VectorTransform.cpp:215</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a7d19f68aae0c30f1641ed9f2b2303bae"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a7d19f68aae0c30f1641ed9f2b2303bae">faiss::IndexPreTransform::range_search</a></div><div class="ttdeci">void range_search(idx_t n, const float *x, float radius, RangeSearchResult *result) const override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01024">VectorTransform.cpp:1024</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a8e48ac9fde5e76e378553b2a6ec2c86e"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a8e48ac9fde5e76e378553b2a6ec2c86e">faiss::IndexPreTransform::reset</a></div><div class="ttdeci">void reset() override</div><div class="ttdoc">removes all elements from the database. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01035">VectorTransform.cpp:1035</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a849361f5f0ab0aba8d419c86f2594191"><div class="ttname"><a href="structfaiss_1_1Index.html#a849361f5f0ab0aba8d419c86f2594191">faiss::Index::reset</a></div><div class="ttdeci">virtual void reset()=0</div><div class="ttdoc">removes all elements from the database. </div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_ab88c87a3931ec356904abf5f1f797a83"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#ab88c87a3931ec356904abf5f1f797a83">faiss::OPQMatrix::niter_pq</a></div><div class="ttdeci">int niter_pq</div><div class="ttdoc">Number of training iterations for the PQ. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00192">VectorTransform.h:192</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_aa40e156ef57fe206cd5f3a58ec0660da"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#aa40e156ef57fe206cd5f3a58ec0660da">faiss::LinearTransform::A</a></div><div class="ttdeci">std::vector< float > A</div><div class="ttdoc">Transformation matrix, size d_out * d_in. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00083">VectorTransform.h:83</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_aa5b4e63e1064f9bf9c75625d114b353f"><div class="ttname"><a href="structfaiss_1_1Index.html#aa5b4e63e1064f9bf9c75625d114b353f">faiss::Index::search_and_reconstruct</a></div><div class="ttdeci">virtual void search_and_reconstruct(idx_t n, const float *x, idx_t k, float *distances, idx_t *labels, float *recons) const </div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00066">Index.cpp:66</a></div></div>
<div class="ttc" id="namespacefaiss_html_a14884d253128c7af5891a65082ad7dc6"><div class="ttname"><a href="namespacefaiss.html#a14884d253128c7af5891a65082ad7dc6">faiss::fvecs_maybe_subsample</a></div><div class="ttdeci">const float * fvecs_maybe_subsample(size_t d, size_t *n, size_t nmax, const float *x, bool verbose, long seed)</div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l01540">utils.cpp:1540</a></div></div>
<div class="ttc" id="structfaiss_1_1CenteringTransform_html_af96e272f0f51d71ed098cdfe3e4ff87d"><div class="ttname"><a href="structfaiss_1_1CenteringTransform.html#af96e272f0f51d71ed098cdfe3e4ff87d">faiss::CenteringTransform::mean</a></div><div class="ttdeci">std::vector< float > mean</div><div class="ttdoc">Mean, size d_in = d_out. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00252">VectorTransform.h:252</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_a4e48e801f98ba2cf57c03b0913d6fafc"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#a4e48e801f98ba2cf57c03b0913d6fafc">faiss::PCAMatrix::eigen_power</a></div><div class="ttdeci">float eigen_power</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00141">VectorTransform.h:141</a></div></div>
<div class="ttc" id="structfaiss_1_1IDSelector_html"><div class="ttname"><a href="structfaiss_1_1IDSelector.html">faiss::IDSelector</a></div><div class="ttdef"><b>Definition:</b> <a href="AuxIndexStructures_8h_source.html#l00054">AuxIndexStructures.h:54</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_a2fffd6064defb7c3fdaf143c0c4a9bc7"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#a2fffd6064defb7c3fdaf143c0c4a9bc7">faiss::LinearTransform::LinearTransform</a></div><div class="ttdeci">LinearTransform(int d_in=0, int d_out=0, bool have_bias=false)</div><div class="ttdoc">both d_in &gt; d_out and d_out &lt; d_in are supported </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00098">VectorTransform.cpp:98</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html">faiss::PCAMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00133">VectorTransform.h:133</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_aca77897ef5c27c69374b4d9555e5b332"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#aca77897ef5c27c69374b4d9555e5b332">faiss::LinearTransform::set_is_orthonormal</a></div><div class="ttdeci">void set_is_orthonormal()</div><div class="ttdoc">compute A^T * A to set the is_orthonormal flag </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00160">VectorTransform.cpp:160</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a01d3736c8e725f596b99440324544a59"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a01d3736c8e725f596b99440324544a59">faiss::OPQMatrix::pq</a></div><div class="ttdeci">ProductQuantizer * pq</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00201">VectorTransform.h:201</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_abf601502bdbfa02b9d7bcd7b3671b71d"><div class="ttname"><a href="structfaiss_1_1Index.html#abf601502bdbfa02b9d7bcd7b3671b71d">faiss::Index::train</a></div><div class="ttdeci">virtual void train(idx_t n, const float *x)</div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00023">Index.cpp:23</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_aa6931dfe054b33b02c842ff75f7a0c7f"><div class="ttname"><a href="structfaiss_1_1Index.html#aa6931dfe054b33b02c842ff75f7a0c7f">faiss::Index::add_with_ids</a></div><div class="ttdeci">virtual void add_with_ids(idx_t n, const float *x, const long *xids)</div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00041">Index.cpp:41</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html">faiss::OPQMatrix</a></div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00188">VectorTransform.h:188</a></div></div>
<div class="ttc" id="structfaiss_1_1ScopeDeleter_html"><div class="ttname"><a href="structfaiss_1_1ScopeDeleter.html">faiss::ScopeDeleter</a></div><div class="ttdef"><b>Definition:</b> <a href="FaissException_8h_source.html#l00045">FaissException.h:45</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_a8f2dd12da8dce3cbeb22da9c5d4ec3e7"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#a8f2dd12da8dce3cbeb22da9c5d4ec3e7">faiss::PCAMatrix::train</a></div><div class="ttdeci">void train(Index::idx_t n, const float *x) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00325">VectorTransform.cpp:325</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_a721c338c1df5c99471db82e6d3dc8f93"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#a721c338c1df5c99471db82e6d3dc8f93">faiss::PCAMatrix::mean</a></div><div class="ttdeci">std::vector< float > mean</div><div class="ttdoc">Mean, size d_in. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00153">VectorTransform.h:153</a></div></div>
<div class="ttc" id="structfaiss_1_1RemapDimensionsTransform_html_a09202a195ff5f75f83e68792751a637f"><div class="ttname"><a href="structfaiss_1_1RemapDimensionsTransform.html#a09202a195ff5f75f83e68792751a637f">faiss::RemapDimensionsTransform::map</a></div><div class="ttdeci">std::vector< int > map</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00217">VectorTransform.h:217</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_aa773a5763ebdd1561152b34453fda96d"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#aa773a5763ebdd1561152b34453fda96d">faiss::IndexPreTransform::apply_chain</a></div><div class="ttdeci">const float * apply_chain(idx_t n, const float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00964">VectorTransform.cpp:964</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_aef5c130774e5d4f697a3e1c82647bfd3"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#aef5c130774e5d4f697a3e1c82647bfd3">faiss::PCAMatrix::PCAMat</a></div><div class="ttdeci">std::vector< float > PCAMat</div><div class="ttdoc">PCA matrix, size d_in * d_in. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00159">VectorTransform.h:159</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a416aaf28d7a533dcf7d2d7de434e993c"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a416aaf28d7a533dcf7d2d7de434e993c">faiss::IndexPreTransform::train</a></div><div class="ttdeci">void train(idx_t n, const float *x) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00906">VectorTransform.cpp:906</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#l00482">ProductQuantizer.cpp:482</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a2a002388d2c081c2dbab8508dcefe73d"><div class="ttname"><a href="structfaiss_1_1Index.html#a2a002388d2c081c2dbab8508dcefe73d">faiss::Index::d</a></div><div class="ttdeci">int d</div><div class="ttdoc">vector dimension </div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00066">Index.h:66</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_ad3f0d3071f987baabbdd3da4500c87ea"><div class="ttname"><a href="structfaiss_1_1Index.html#ad3f0d3071f987baabbdd3da4500c87ea">faiss::Index::idx_t</a></div><div class="ttdeci">long idx_t</div><div class="ttdoc">all indices are this type </div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00062">Index.h:62</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_ab0383f690aeb823876e9143febad1a87"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#ab0383f690aeb823876e9143febad1a87">faiss::LinearTransform::b</a></div><div class="ttdeci">std::vector< float > b</div><div class="ttdoc">bias vector, size d_out </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00086">VectorTransform.h:86</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_a078caa663cf329de13851ebb026fb5d5"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#a078caa663cf329de13851ebb026fb5d5">faiss::LinearTransform::reverse_transform</a></div><div class="ttdeci">void reverse_transform(idx_t n, const float *xt, float *x) const override</div><div class="ttdoc">works only if is_orthonormal </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00199">VectorTransform.cpp:199</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#l00033">ProductQuantizer.h:33</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a1936604fffe16b0ef2a3879305950738"><div class="ttname"><a href="structfaiss_1_1Index.html#a1936604fffe16b0ef2a3879305950738">faiss::Index::reconstruct_n</a></div><div class="ttdeci">virtual void reconstruct_n(idx_t i0, idx_t ni, float *recons) const </div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00059">Index.cpp:59</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a1b5e9ac70adbce0897dd6c8276ad96f2"><div class="ttname"><a href="structfaiss_1_1Index.html#a1b5e9ac70adbce0897dd6c8276ad96f2">faiss::Index::add</a></div><div class="ttdeci">virtual void add(idx_t n, const float *x)=0</div></div>
<div class="ttc" id="structfaiss_1_1NormalizationTransform_html_a58cc73dea14c1591a8812291d3d85bc0"><div class="ttname"><a href="structfaiss_1_1NormalizationTransform.html#a58cc73dea14c1591a8812291d3d85bc0">faiss::NormalizationTransform::reverse_transform</a></div><div class="ttdeci">void reverse_transform(idx_t n, const float *xt, float *x) const override</div><div class="ttdoc">Identity transform since norm is not revertible. </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00796">VectorTransform.cpp:796</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a62def246cfef670f2973fdf4af1414e1"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a62def246cfef670f2973fdf4af1414e1">faiss::ProductQuantizer::assign_index</a></div><div class="ttdeci">Index * assign_index</div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00052">ProductQuantizer.h:52</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html">faiss::LinearTransform</a></div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00075">VectorTransform.h:75</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a1e314577db0c6cd4a709503f73eb71e2"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a1e314577db0c6cd4a709503f73eb71e2">faiss::OPQMatrix::train</a></div><div class="ttdeci">void train(Index::idx_t n, const float *x) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00598">VectorTransform.cpp:598</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_ac9a4c97b5861081dfd8ca5881bb1a677"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#ac9a4c97b5861081dfd8ca5881bb1a677">faiss::PCAMatrix::balanced_bins</a></div><div class="ttdeci">int balanced_bins</div><div class="ttdoc">try to distribute output eigenvectors in this many bins </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00150">VectorTransform.h:150</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_ab511f1ddf608c00204555881ca28cb02"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#ab511f1ddf608c00204555881ca28cb02">faiss::VectorTransform::is_trained</a></div><div class="ttdeci">bool is_trained</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00040">VectorTransform.h:40</a></div></div>
<div class="ttc" id="structfaiss_1_1RandomRotationMatrix_html_a5ae68bbd58cf20debb00636cb1b9c490"><div class="ttname"><a href="structfaiss_1_1RandomRotationMatrix.html#a5ae68bbd58cf20debb00636cb1b9c490">faiss::RandomRotationMatrix::train</a></div><div class="ttdeci">void train(Index::idx_t n, const float *x) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00242">VectorTransform.cpp:242</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a370dd6ef091393401fa9b60e3d1d25b2"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a370dd6ef091393401fa9b60e3d1d25b2">faiss::IndexPreTransform::reconstruct_n</a></div><div class="ttdeci">void reconstruct_n(idx_t i0, idx_t ni, float *recons) const override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01059">VectorTransform.cpp:1059</a></div></div>
<div class="ttc" id="structfaiss_1_1CenteringTransform_html_a6135ee99d20a6b7c033359563a082b99"><div class="ttname"><a href="structfaiss_1_1CenteringTransform.html#a6135ee99d20a6b7c033359563a082b99">faiss::CenteringTransform::reverse_transform</a></div><div class="ttdeci">void reverse_transform(idx_t n, const float *xt, float *x) const override</div><div class="ttdoc">add the mean </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00840">VectorTransform.cpp:840</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a6970683faa021b7a6f1a0865c0d4eccd"><div class="ttname"><a href="structfaiss_1_1Index.html#a6970683faa021b7a6f1a0865c0d4eccd">faiss::Index::ntotal</a></div><div class="ttdeci">idx_t ntotal</div><div class="ttdoc">total nb of indexed vectors </div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00067">Index.h:67</a></div></div>
<div class="ttc" id="structfaiss_1_1NormalizationTransform_html_a80c94dc7d17c9a7a9edc627150401571"><div class="ttname"><a href="structfaiss_1_1NormalizationTransform.html#a80c94dc7d17c9a7a9edc627150401571">faiss::NormalizationTransform::apply_noalloc</a></div><div class="ttdeci">void apply_noalloc(idx_t n, const float *x, float *xt) const override</div><div class="ttdoc">same as apply, but result is pre-allocated </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00786">VectorTransform.cpp:786</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a3a41c6286095e731be744548d9535a35a4960d143d2aa49cf92028cf3470c47a0"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a3a41c6286095e731be744548d9535a35a4960d143d2aa49cf92028cf3470c47a0">faiss::ProductQuantizer::Train_hot_start</a></div><div class="ttdoc">the centroids are already initialized </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00041">ProductQuantizer.h:41</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#l00069">utils.cpp:69</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_af8bf7bd97aeed8ad5fc48b242379a68a"><div class="ttname"><a href="structfaiss_1_1Index.html#af8bf7bd97aeed8ad5fc48b242379a68a">faiss::Index::remove_ids</a></div><div class="ttdeci">virtual long remove_ids(const IDSelector &sel)</div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00048">Index.cpp:48</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_aced51b1ebc33c47ab3ae15ea906559a7"><div class="ttname"><a href="structfaiss_1_1Index.html#aced51b1ebc33c47ab3ae15ea906559a7">faiss::Index::search</a></div><div class="ttdeci">virtual void search(idx_t n, const float *x, idx_t k, float *distances, idx_t *labels) const =0</div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html">faiss::VectorTransform</a></div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00026">VectorTransform.h:26</a></div></div>
<div class="ttc" id="namespacefaiss_html_afb68fe89ad5e948974da1b70d7b4157c"><div class="ttname"><a href="namespacefaiss.html#afb68fe89ad5e948974da1b70d7b4157c">faiss::matrix_qr</a></div><div class="ttdeci">void matrix_qr(int m, int n, float *a)</div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l00999">utils.cpp:999</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_ae5ec3f184eb211e7d6e204082b52c8c0"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#ae5ec3f184eb211e7d6e204082b52c8c0">faiss::IndexPreTransform::own_fields</a></div><div class="ttdeci">bool own_fields</div><div class="ttdoc">! the sub-index </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00276">VectorTransform.h:276</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a6406e97b05c831cc19b9343be3b43a1f"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a6406e97b05c831cc19b9343be3b43a1f">faiss::OPQMatrix::niter_pq_0</a></div><div class="ttdeci">int niter_pq_0</div><div class="ttdoc">same, for the first outer iteration </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00193">VectorTransform.h:193</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_af265acf5aa1bcda60898002287e6a3d6"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#af265acf5aa1bcda60898002287e6a3d6">faiss::ProductQuantizer::cp</a></div><div class="ttdeci">ClusteringParameters cp</div><div class="ttdoc">parameters used during clustering </div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8h_source.html#l00048">ProductQuantizer.h:48</a></div></div>
<div class="ttc" id="structfaiss_1_1RangeSearchResult_html"><div class="ttname"><a href="structfaiss_1_1RangeSearchResult.html">faiss::RangeSearchResult</a></div><div class="ttdef"><b>Definition:</b> <a href="AuxIndexStructures_8h_source.html#l00031">AuxIndexStructures.h:31</a></div></div>
<div class="ttc" id="namespacefaiss_html_a4369329c9dbdfe23e3f35d09ba7b5c6e"><div class="ttname"><a href="namespacefaiss.html#a4369329c9dbdfe23e3f35d09ba7b5c6e">faiss::ivec_checksum</a></div><div class="ttdeci">size_t ivec_checksum(size_t n, const int *a)</div><div class="ttdoc">compute a checksum on a table. </div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l01349">utils.cpp:1349</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_a7350d4dd28d60866d55ba4f75d2da84c"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#a7350d4dd28d60866d55ba4f75d2da84c">faiss::VectorTransform::train</a></div><div class="ttdeci">virtual void train(idx_t n, const float *x)</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00078">VectorTransform.cpp:78</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_a101ce54f1c60df19478801aa942470d9"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#a101ce54f1c60df19478801aa942470d9">faiss::VectorTransform::reverse_transform</a></div><div class="ttdeci">virtual void reverse_transform(idx_t n, const float *xt, float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00083">VectorTransform.cpp:83</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a97ceaf3f87d3d729846762295351e972"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a97ceaf3f87d3d729846762295351e972">faiss::IndexPreTransform::search_and_reconstruct</a></div><div class="ttdeci">void search_and_reconstruct(idx_t n, const float *x, idx_t k, float *distances, idx_t *labels, float *recons) const override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01071">VectorTransform.cpp:1071</a></div></div>
<div class="ttc" id="structfaiss_1_1RemapDimensionsTransform_html_a2fc83e79e4d3c7853bfd6931cbbaf82a"><div class="ttname"><a href="structfaiss_1_1RemapDimensionsTransform.html#a2fc83e79e4d3c7853bfd6931cbbaf82a">faiss::RemapDimensionsTransform::reverse_transform</a></div><div class="ttdeci">void reverse_transform(idx_t n, const float *xt, float *x) const override</div><div class="ttdoc">reverse transform correct only when the mapping is a permuation </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01139">VectorTransform.cpp:1139</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_afdd5b2c74d19ccc5c7a6e0199333321a"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#afdd5b2c74d19ccc5c7a6e0199333321a">faiss::OPQMatrix::max_train_points</a></div><div class="ttdeci">size_t max_train_points</div><div class="ttdoc">if there are too many training points, resample </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00196">VectorTransform.h:196</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_ae586dc89db6c57753c687473417742a6"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#ae586dc89db6c57753c687473417742a6">faiss::PCAMatrix::copy_from</a></div><div class="ttdeci">void copy_from(const PCAMatrix &other)</div><div class="ttdoc">copy pre-trained PCA matrix </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00467">VectorTransform.cpp:467</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_a589d612f7b1773614619a0cbecd728a9"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#a589d612f7b1773614619a0cbecd728a9">faiss::VectorTransform::d_out</a></div><div class="ttdeci">int d_out</div><div class="ttdoc">! input dimension </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00031">VectorTransform.h:31</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a6eb9d18ff15b1c598d3aa3bc9ab84519"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a6eb9d18ff15b1c598d3aa3bc9ab84519">faiss::OPQMatrix::OPQMatrix</a></div><div class="ttdeci">OPQMatrix(int d=0, int M=1, int d2=-1)</div><div class="ttdoc">if d2 != -1, output vectors of this dimension </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00583">VectorTransform.cpp:583</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html"><div class="ttname"><a href="structfaiss_1_1Index.html">faiss::Index</a></div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00061">Index.h:61</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_a117a70b8fca6d125725fe49fddebf97b"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#a117a70b8fca6d125725fe49fddebf97b">faiss::PCAMatrix::prepare_Ab</a></div><div class="ttdeci">void prepare_Ab()</div><div class="ttdoc">called after mean, PCAMat and eigenvalues are computed </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00477">VectorTransform.cpp:477</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a03c77c582a3421952e2cba2057083059"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a03c77c582a3421952e2cba2057083059">faiss::IndexPreTransform::add</a></div><div class="ttdeci">void add(idx_t n, const float *x) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00993">VectorTransform.cpp:993</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_aecd05d180799f3956065b0c5c54fd406"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#aecd05d180799f3956065b0c5c54fd406">faiss::ProductQuantizer::compute_codes_with_assign_index</a></div><div class="ttdeci">void compute_codes_with_assign_index(const float *x, uint8_t *codes, size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="ProductQuantizer_8cpp_source.html#l00427">ProductQuantizer.cpp:427</a></div></div>
<div class="ttc" id="structfaiss_1_1RemapDimensionsTransform_html_a550be3d40c221d2134bf06a13dd33c4d"><div class="ttname"><a href="structfaiss_1_1RemapDimensionsTransform.html#a550be3d40c221d2134bf06a13dd33c4d">faiss::RemapDimensionsTransform::apply_noalloc</a></div><div class="ttdeci">void apply_noalloc(idx_t n, const float *x, float *xt) const override</div><div class="ttdoc">same as apply, but result is pre-allocated </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01127">VectorTransform.cpp:1127</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#l00023">ProductQuantizer.h:23</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a236897832a58dbb205e2d662c1929fb1"><div class="ttname"><a href="structfaiss_1_1Index.html#a236897832a58dbb205e2d662c1929fb1">faiss::Index::range_search</a></div><div class="ttdeci">virtual void range_search(idx_t n, const float *x, float radius, RangeSearchResult *result) const </div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00028">Index.cpp:28</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_a6e92732617c4dbe364e7678dd8773a7f"><div class="ttname"><a href="structfaiss_1_1Index.html#a6e92732617c4dbe364e7678dd8773a7f">faiss::Index::is_trained</a></div><div class="ttdeci">bool is_trained</div><div class="ttdoc">set if the Index does not require training, or if training is done already </div><div class="ttdef"><b>Definition:</b> <a href="Index_8h_source.html#l00071">Index.h:71</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_aaa4851311641da569d02f8adbe1f04f0"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#aaa4851311641da569d02f8adbe1f04f0">faiss::IndexPreTransform::reverse_chain</a></div><div class="ttdeci">void reverse_chain(idx_t n, const float *xt, float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00979">VectorTransform.cpp:979</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_a8a67a0178eab513cf87545f5d12d9569"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#a8a67a0178eab513cf87545f5d12d9569">faiss::LinearTransform::is_orthonormal</a></div><div class="ttdeci">bool is_orthonormal</div><div class="ttdoc">! whether to use the bias term </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00080">VectorTransform.h:80</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_ae80e130c0667b66cea608c4926d7d561"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#ae80e130c0667b66cea608c4926d7d561">faiss::PCAMatrix::eigenvalues</a></div><div class="ttdeci">std::vector< float > eigenvalues</div><div class="ttdoc">eigenvalues of covariance matrix (= squared singular values) </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00156">VectorTransform.h:156</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a7c2c820895d87083742969c281ae4911"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a7c2c820895d87083742969c281ae4911">faiss::IndexPreTransform::search</a></div><div class="ttdeci">void search(idx_t n, const float *x, idx_t k, float *distances, idx_t *labels) const override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01015">VectorTransform.cpp:1015</a></div></div>
<div class="ttc" id="structfaiss_1_1Index_html_aaef6f4132b1f390121ebb11058baf190"><div class="ttname"><a href="structfaiss_1_1Index.html#aaef6f4132b1f390121ebb11058baf190">faiss::Index::reconstruct</a></div><div class="ttdeci">virtual void reconstruct(idx_t key, float *recons) const </div><div class="ttdef"><b>Definition:</b> <a href="Index_8cpp_source.html#l00054">Index.cpp:54</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a07fef0553b2ef2907f394470f61898b2"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a07fef0553b2ef2907f394470f61898b2">faiss::IndexPreTransform::add_with_ids</a></div><div class="ttdeci">void add_with_ids(idx_t n, const float *x, const long *xids) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01002">VectorTransform.cpp:1002</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_af111f055b7571703a3aa270d89e99321"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#af111f055b7571703a3aa270d89e99321">faiss::PCAMatrix::random_rotation</a></div><div class="ttdeci">bool random_rotation</div><div class="ttdoc">random rotation after PCA </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00144">VectorTransform.h:144</a></div></div>
<div class="ttc" id="structfaiss_1_1PCAMatrix_html_abdce90f57a3c4401f5230f03da901e0d"><div class="ttname"><a href="structfaiss_1_1PCAMatrix.html#abdce90f57a3c4401f5230f03da901e0d">faiss::PCAMatrix::max_points_per_d</a></div><div class="ttdeci">size_t max_points_per_d</div><div class="ttdoc">ratio between # training vectors and dimension </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00147">VectorTransform.h:147</a></div></div>
<div class="ttc" id="structfaiss_1_1ClusteringParameters_html_a993e0a035248faad6e292a5ef9af1953"><div class="ttname"><a href="structfaiss_1_1ClusteringParameters.html#a993e0a035248faad6e292a5ef9af1953">faiss::ClusteringParameters::max_points_per_centroid</a></div><div class="ttdeci">int max_points_per_centroid</div><div class="ttdoc">to limit size of dataset </div><div class="ttdef"><b>Definition:</b> <a href="Clustering_8h_source.html#l00033">Clustering.h:33</a></div></div>
<div class="ttc" id="structfaiss_1_1ProductQuantizer_html_a1e4056fa3938ed8c9fe701e90d94ad95"><div class="ttname"><a href="structfaiss_1_1ProductQuantizer.html#a1e4056fa3938ed8c9fe701e90d94ad95">faiss::ProductQuantizer::verbose</a></div><div class="ttdeci">bool verbose</div><div class="ttdoc">verbose during training? </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_1VectorTransform_html_af3b3a8bf95911f4b28128001c83f91a5"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#af3b3a8bf95911f4b28128001c83f91a5">faiss::VectorTransform::apply</a></div><div class="ttdeci">float * apply(idx_t n, const float *x) const </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00070">VectorTransform.cpp:70</a></div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_ad4e59f4dacc1d8183a788510680f0df5"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#ad4e59f4dacc1d8183a788510680f0df5">faiss::IndexPreTransform::remove_ids</a></div><div class="ttdeci">long remove_ids(const IDSelector &sel) override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01040">VectorTransform.cpp:1040</a></div></div>
<div class="ttc" id="structfaiss_1_1VectorTransform_html_a90f1a218c224c049f1bd8b77a78d6aa0"><div class="ttname"><a href="structfaiss_1_1VectorTransform.html#a90f1a218c224c049f1bd8b77a78d6aa0">faiss::VectorTransform::apply_noalloc</a></div><div class="ttdeci">virtual void apply_noalloc(idx_t n, const float *x, float *xt) const =0</div><div class="ttdoc">same as apply, but result is pre-allocated </div></div>
<div class="ttc" id="structfaiss_1_1IndexPreTransform_html_a02493fc85f4a47dce4ad7acd105320bf"><div class="ttname"><a href="structfaiss_1_1IndexPreTransform.html#a02493fc85f4a47dce4ad7acd105320bf">faiss::IndexPreTransform::reconstruct</a></div><div class="ttdeci">void reconstruct(idx_t key, float *recons) const override</div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l01047">VectorTransform.cpp:1047</a></div></div>
<div class="ttc" id="structfaiss_1_1CenteringTransform_html_aaab940f206cb54321c9729286db5f9d7"><div class="ttname"><a href="structfaiss_1_1CenteringTransform.html#aaab940f206cb54321c9729286db5f9d7">faiss::CenteringTransform::apply_noalloc</a></div><div class="ttdeci">void apply_noalloc(idx_t n, const float *x, float *xt) const override</div><div class="ttdoc">subtract the mean </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00829">VectorTransform.cpp:829</a></div></div>
<div class="ttc" id="structfaiss_1_1OPQMatrix_html_a07ad0c0c84f96a6880c1c8eaf09596e3"><div class="ttname"><a href="structfaiss_1_1OPQMatrix.html#a07ad0c0c84f96a6880c1c8eaf09596e3">faiss::OPQMatrix::M</a></div><div class="ttdeci">int M</div><div class="ttdoc">nb of subquantizers </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8h_source.html#l00190">VectorTransform.h:190</a></div></div>
<div class="ttc" id="structfaiss_1_1LinearTransform_html_af9c20b4ae67691b5713489884ca9f80f"><div class="ttname"><a href="structfaiss_1_1LinearTransform.html#af9c20b4ae67691b5713489884ca9f80f">faiss::LinearTransform::apply_noalloc</a></div><div class="ttdeci">void apply_noalloc(idx_t n, const float *x, float *xt) const override</div><div class="ttdoc">same as apply, but result is pre-allocated </div><div class="ttdef"><b>Definition:</b> <a href="VectorTransform_8cpp_source.html#l00106">VectorTransform.cpp:106</a></div></div>
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