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<div class="header">
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<div class="title">/data/users/hoss/faiss/utils_simd.cpp</div>  </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/**</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Copyright (c) Facebook, Inc. and its affiliates.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<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>&#160;<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>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// -*- c++ -*-</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &quot;utils.h&quot;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;cstdio&gt;</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;cstring&gt;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#ifdef __SSE__</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#include &lt;immintrin.h&gt;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#ifdef __aarch64__</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#include  &lt;arm_neon.h&gt;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;omp.h&gt;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment">/**************************************************</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment"> * Get some stats about the system</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment"> **************************************************/</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="keyword">namespace </span>faiss {</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#ifdef __AVX__</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define USE_AVX</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment">/*********************************************************</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="comment"> * Optimized distance computations</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="comment"> *********************************************************/</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment">/* Functions to compute:</span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment">   - L2 distance between 2 vectors</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment">   - inner product between 2 vectors</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">   - L2 norm of a vector</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment">   The functions should probably not be invoked when a large number of</span></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="comment">   vectors are be processed in batch (in which case Matrix multiply</span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="comment">   is faster), but may be useful for comparing vectors isolated in</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="comment">   memory.</span></div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="comment">   Works with any vectors of any dimension, even unaligned (in which</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="comment">   case they are slower).</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="comment">/*********************************************************</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="comment"> * Reference implementations</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="comment">/* same without SSE */</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="keywordtype">float</span> fvec_L2sqr_ref (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                     <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                     <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;{</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="keywordtype">float</span> res = 0;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="keywordflow">for</span> (i = 0; i &lt; d; i++) {</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">float</span> tmp = x[i] - y[i];</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;       res += tmp * tmp;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    }</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;}</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="keywordtype">float</span> fvec_inner_product_ref (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                             <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                             <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;{</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    <span class="keywordtype">float</span> res = 0;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    <span class="keywordflow">for</span> (i = 0; i &lt; d; i++)</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;       res += x[i] * y[i];</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;}</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="keywordtype">float</span> fvec_norm_L2sqr_ref (<span class="keyword">const</span> <span class="keywordtype">float</span> *x, <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;{</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    <span class="keywordtype">double</span> res = 0;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    <span class="keywordflow">for</span> (i = 0; i &lt; d; i++)</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;       res += x[i] * x[i];</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;}</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="keywordtype">void</span> fvec_L2sqr_ny_ref (<span class="keywordtype">float</span> * dis,</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                    <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                    <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                    <span class="keywordtype">size_t</span> d, <span class="keywordtype">size_t</span> ny)</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;{</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; ny; i++) {</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        dis[i] = <a class="code" href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">fvec_L2sqr</a> (x, y, d);</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        y += d;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    }</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;}</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="comment">/*********************************************************</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="comment"> * SSE and AVX implementations</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="preprocessor">#ifdef __SSE__</span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="comment">// reads 0 &lt;= d &lt; 4 floats as __m128</span></div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="keyword">static</span> <span class="keyword">inline</span> __m128 masked_read (<span class="keywordtype">int</span> d, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;{</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    assert (0 &lt;= d &amp;&amp; d &lt; 4);</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    __attribute__((__aligned__(16))) float buf[4] = {0, 0, 0, 0};</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    <span class="keywordflow">switch</span> (d) {</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">case</span> 3:</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        buf[2] = x[2];</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <span class="keywordflow">case</span> 2:</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        buf[1] = x[1];</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <span class="keywordflow">case</span> 1:</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        buf[0] = x[0];</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    }</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    <span class="keywordflow">return</span> _mm_load_ps (buf);</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    <span class="comment">// cannot use AVX2 _mm_mask_set1_epi32</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;}</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="keywordtype">float</span> <a class="code" href="namespacefaiss.html#a7a49180ebf10e643217bbce5862c7f84">fvec_norm_L2sqr</a> (<span class="keyword">const</span> <span class="keywordtype">float</span> *  x,</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                      <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;{</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    __m128 mx;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    __m128 msum1 = _mm_setzero_ps();</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    <span class="keywordflow">while</span> (d &gt;= 4) {</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        mx = _mm_loadu_ps (x); x += 4;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        msum1 = _mm_add_ps (msum1, _mm_mul_ps (mx, mx));</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        d -= 4;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    }</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    mx = masked_read (d, x);</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    msum1 = _mm_add_ps (msum1, _mm_mul_ps (mx, mx));</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    msum1 = _mm_hadd_ps (msum1, msum1);</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    msum1 = _mm_hadd_ps (msum1, msum1);</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="keywordflow">return</span>  _mm_cvtss_f32 (msum1);</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;}</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;<span class="keyword">namespace </span>{</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="keywordtype">float</span> sqr (<span class="keywordtype">float</span> x) {</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <span class="keywordflow">return</span> x * x;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;}</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;<span class="keywordtype">void</span> fvec_L2sqr_ny_D1 (<span class="keywordtype">float</span> * dis, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;                       <span class="keyword">const</span> <span class="keywordtype">float</span> * y, <span class="keywordtype">size_t</span> ny)</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;{</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    <span class="keywordtype">float</span> x0s = x[0];</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    __m128 x0 = _mm_set_ps (x0s, x0s, x0s, x0s);</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    <span class="keywordflow">for</span> (i = 0; i + 3 &lt; ny; i += 4) {</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;        __m128 tmp, accu;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        tmp = x0 - _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        accu = tmp * tmp;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        dis[i] = _mm_cvtss_f32 (accu);</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        tmp = _mm_shuffle_ps (accu, accu, 1);</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        dis[i + 1] = _mm_cvtss_f32 (tmp);</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;        tmp = _mm_shuffle_ps (accu, accu, 2);</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;        dis[i + 2] = _mm_cvtss_f32 (tmp);</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        tmp = _mm_shuffle_ps (accu, accu, 3);</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        dis[i + 3] = _mm_cvtss_f32 (tmp);</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    }</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;    <span class="keywordflow">while</span> (i &lt; ny) { <span class="comment">// handle non-multiple-of-4 case</span></div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        dis[i++] = sqr(x0s - *y++);</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    }</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;}</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="keywordtype">void</span> fvec_L2sqr_ny_D2 (<span class="keywordtype">float</span> * dis, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;                       <span class="keyword">const</span> <span class="keywordtype">float</span> * y, <span class="keywordtype">size_t</span> ny)</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;{</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    __m128 x0 = _mm_set_ps (x[1], x[0], x[1], x[0]);</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;    <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    <span class="keywordflow">for</span> (i = 0; i + 1 &lt; ny; i += 2) {</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        __m128 tmp, accu;</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        tmp = x0 - _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        accu = tmp * tmp;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        accu = _mm_hadd_ps (accu, accu);</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;        dis[i] = _mm_cvtss_f32 (accu);</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;        accu = _mm_shuffle_ps (accu, accu, 3);</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        dis[i + 1] = _mm_cvtss_f32 (accu);</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    }</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    <span class="keywordflow">if</span> (i &lt; ny) { <span class="comment">// handle odd case</span></div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;        dis[i] = sqr(x[0] - y[0]) + sqr(x[1] - y[1]);</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    }</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;}</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="keywordtype">void</span> fvec_L2sqr_ny_D4 (<span class="keywordtype">float</span> * dis, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;                        <span class="keyword">const</span> <span class="keywordtype">float</span> * y, <span class="keywordtype">size_t</span> ny)</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;{</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;    __m128 x0 = _mm_loadu_ps(x);</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; ny; i++) {</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;        __m128 tmp, accu;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        tmp = x0 - _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;        accu = tmp * tmp;</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        accu = _mm_hadd_ps (accu, accu);</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;        accu = _mm_hadd_ps (accu, accu);</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;        dis[i] = _mm_cvtss_f32 (accu);</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    }</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;}</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;<span class="keywordtype">void</span> fvec_L2sqr_ny_D8 (<span class="keywordtype">float</span> * dis, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;                        <span class="keyword">const</span> <span class="keywordtype">float</span> * y, <span class="keywordtype">size_t</span> ny)</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;{</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;    __m128 x0 = _mm_loadu_ps(x);</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;    __m128 x1 = _mm_loadu_ps(x + 4);</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; ny; i++) {</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;        __m128 tmp, accu;</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;        tmp = x0 - _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;        accu = tmp * tmp;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        tmp = x1 - _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;        accu += tmp * tmp;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;        accu = _mm_hadd_ps (accu, accu);</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;        accu = _mm_hadd_ps (accu, accu);</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;        dis[i] = _mm_cvtss_f32 (accu);</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;    }</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;}</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="keywordtype">void</span> fvec_L2sqr_ny_D12 (<span class="keywordtype">float</span> * dis, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;                        <span class="keyword">const</span> <span class="keywordtype">float</span> * y, <span class="keywordtype">size_t</span> ny)</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;{</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;    __m128 x0 = _mm_loadu_ps(x);</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    __m128 x1 = _mm_loadu_ps(x + 4);</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;    __m128 x2 = _mm_loadu_ps(x + 8);</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; ny; i++) {</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;        __m128 tmp, accu;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;        tmp = x0 - _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        accu = tmp * tmp;</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;        tmp = x1 - _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;        accu += tmp * tmp;</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;        tmp = x2 - _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;        accu += tmp * tmp;</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;        accu = _mm_hadd_ps (accu, accu);</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;        accu = _mm_hadd_ps (accu, accu);</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;        dis[i] = _mm_cvtss_f32 (accu);</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;    }</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;}</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;} <span class="comment">// anonymous namespace</span></div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;<span class="keywordtype">void</span> fvec_L2sqr_ny (<span class="keywordtype">float</span> * dis, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;                        <span class="keyword">const</span> <span class="keywordtype">float</span> * y, <span class="keywordtype">size_t</span> d, <span class="keywordtype">size_t</span> ny) {</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;    <span class="comment">// optimized for a few special cases</span></div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;    <span class="keywordflow">switch</span>(d) {</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;    <span class="keywordflow">case</span> 1:</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;        fvec_L2sqr_ny_D1 (dis, x, y, ny);</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;    <span class="keywordflow">case</span> 2:</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;        fvec_L2sqr_ny_D2 (dis, x, y, ny);</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;    <span class="keywordflow">case</span> 4:</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        fvec_L2sqr_ny_D4 (dis, x, y, ny);</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;    <span class="keywordflow">case</span> 8:</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;        fvec_L2sqr_ny_D8 (dis, x, y, ny);</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;    <span class="keywordflow">case</span> 12:</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        fvec_L2sqr_ny_D12 (dis, x, y, ny);</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;    <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;        fvec_L2sqr_ny_ref (dis, x, y, d, ny);</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;    }</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;}</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;<span class="preprocessor">#ifdef USE_AVX</span></div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;<span class="comment">// reads 0 &lt;= d &lt; 8 floats as __m256</span></div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="keyword">static</span> <span class="keyword">inline</span> __m256 masked_read_8 (<span class="keywordtype">int</span> d, <span class="keyword">const</span> <span class="keywordtype">float</span> *x)</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;{</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;    assert (0 &lt;= d &amp;&amp; d &lt; 8);</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;    <span class="keywordflow">if</span> (d &lt; 4) {</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;        __m256 res = _mm256_setzero_ps ();</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;        res = _mm256_insertf128_ps (res, masked_read (d, x), 0);</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;        <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;    } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;        __m256 res = _mm256_setzero_ps ();</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;        res = _mm256_insertf128_ps (res, _mm_loadu_ps (x), 0);</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;        res = _mm256_insertf128_ps (res, masked_read (d - 4, x + 4), 1);</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;        <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;    }</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;}</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;<span class="keywordtype">float</span> fvec_inner_product (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;                          <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;{</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;    __m256 msum1 = _mm256_setzero_ps();</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;    <span class="keywordflow">while</span> (d &gt;= 8) {</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;        __m256 mx = _mm256_loadu_ps (x); x += 8;</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;        __m256 my = _mm256_loadu_ps (y); y += 8;</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;        msum1 = _mm256_add_ps (msum1, _mm256_mul_ps (mx, my));</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;        d -= 8;</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;    }</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;    __m128 msum2 = _mm256_extractf128_ps(msum1, 1);</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;    msum2 +=       _mm256_extractf128_ps(msum1, 0);</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;    <span class="keywordflow">if</span> (d &gt;= 4) {</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;        __m128 mx = _mm_loadu_ps (x); x += 4;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;        __m128 my = _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;        msum2 = _mm_add_ps (msum2, _mm_mul_ps (mx, my));</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        d -= 4;</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;    }</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;    <span class="keywordflow">if</span> (d &gt; 0) {</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;        __m128 mx = masked_read (d, x);</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;        __m128 my = masked_read (d, y);</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;        msum2 = _mm_add_ps (msum2, _mm_mul_ps (mx, my));</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;    }</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;    msum2 = _mm_hadd_ps (msum2, msum2);</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;    msum2 = _mm_hadd_ps (msum2, msum2);</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;    <span class="keywordflow">return</span>  _mm_cvtss_f32 (msum2);</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;}</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;<span class="keywordtype">float</span> <a class="code" href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">fvec_L2sqr</a> (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;                 <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;                 <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;{</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;    __m256 msum1 = _mm256_setzero_ps();</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;    <span class="keywordflow">while</span> (d &gt;= 8) {</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;        __m256 mx = _mm256_loadu_ps (x); x += 8;</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;        __m256 my = _mm256_loadu_ps (y); y += 8;</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;        <span class="keyword">const</span> __m256 a_m_b1 = mx - my;</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;        msum1 += a_m_b1 * a_m_b1;</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;        d -= 8;</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;    }</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;    __m128 msum2 = _mm256_extractf128_ps(msum1, 1);</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;    msum2 +=       _mm256_extractf128_ps(msum1, 0);</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;    <span class="keywordflow">if</span> (d &gt;= 4) {</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;        __m128 mx = _mm_loadu_ps (x); x += 4;</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;        __m128 my = _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;        <span class="keyword">const</span> __m128 a_m_b1 = mx - my;</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;        msum2 += a_m_b1 * a_m_b1;</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;        d -= 4;</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;    }</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;    <span class="keywordflow">if</span> (d &gt; 0) {</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;        __m128 mx = masked_read (d, x);</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;        __m128 my = masked_read (d, y);</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;        __m128 a_m_b1 = mx - my;</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;        msum2 += a_m_b1 * a_m_b1;</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;    }</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;    msum2 = _mm_hadd_ps (msum2, msum2);</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;    msum2 = _mm_hadd_ps (msum2, msum2);</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;    <span class="keywordflow">return</span>  _mm_cvtss_f32 (msum2);</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;}</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;<span class="preprocessor">#elif defined(__SSE__)</span></div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;<span class="comment">/* SSE-implementation of L2 distance */</span></div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;<span class="keywordtype">float</span> <a class="code" href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">fvec_L2sqr</a> (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;                 <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;                 <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;{</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;    __m128 msum1 = _mm_setzero_ps();</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;    <span class="keywordflow">while</span> (d &gt;= 4) {</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;        __m128 mx = _mm_loadu_ps (x); x += 4;</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;        __m128 my = _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;        <span class="keyword">const</span> __m128 a_m_b1 = mx - my;</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;        msum1 += a_m_b1 * a_m_b1;</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;        d -= 4;</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;    }</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;    <span class="keywordflow">if</span> (d &gt; 0) {</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;        <span class="comment">// add the last 1, 2 or 3 values</span></div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;        __m128 mx = masked_read (d, x);</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;        __m128 my = masked_read (d, y);</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;        __m128 a_m_b1 = mx - my;</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;        msum1 += a_m_b1 * a_m_b1;</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;    }</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;    msum1 = _mm_hadd_ps (msum1, msum1);</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;    msum1 = _mm_hadd_ps (msum1, msum1);</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;    <span class="keywordflow">return</span>  _mm_cvtss_f32 (msum1);</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;}</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;<span class="keywordtype">float</span> fvec_inner_product (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;                         <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;                         <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;{</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;    __m128 mx, my;</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;    __m128 msum1 = _mm_setzero_ps();</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;    <span class="keywordflow">while</span> (d &gt;= 4) {</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;        mx = _mm_loadu_ps (x); x += 4;</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;        my = _mm_loadu_ps (y); y += 4;</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;        msum1 = _mm_add_ps (msum1, _mm_mul_ps (mx, my));</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;        d -= 4;</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;    }</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;    <span class="comment">// add the last 1, 2, or 3 values</span></div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;    mx = masked_read (d, x);</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;    my = masked_read (d, y);</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;    __m128 prod = _mm_mul_ps (mx, my);</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;    msum1 = _mm_add_ps (msum1, prod);</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;    msum1 = _mm_hadd_ps (msum1, msum1);</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;    msum1 = _mm_hadd_ps (msum1, msum1);</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    <span class="keywordflow">return</span>  _mm_cvtss_f32 (msum1);</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;}</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;<span class="preprocessor">#elif defined(__aarch64__)</span></div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;<span class="keywordtype">float</span> <a class="code" href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">fvec_L2sqr</a> (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;                  <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;                  <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;{</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;    <span class="keywordflow">if</span> (d &amp; 3) <span class="keywordflow">return</span> fvec_L2sqr_ref (x, y, d);</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;    float32x4_t accu = vdupq_n_f32 (0);</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; d; i += 4) {</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;        float32x4_t xi = vld1q_f32 (x + i);</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;        float32x4_t yi = vld1q_f32 (y + i);</div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;        float32x4_t sq = vsubq_f32 (xi, yi);</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;        accu = vfmaq_f32 (accu, sq, sq);</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;    }</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;    float32x4_t a2 = vpaddq_f32 (accu, accu);</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;    <span class="keywordflow">return</span> vdups_laneq_f32 (a2, 0) + vdups_laneq_f32 (a2, 1);</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;}</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;<span class="keywordtype">float</span> fvec_inner_product (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;                          <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;{</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;    <span class="keywordflow">if</span> (d &amp; 3) <span class="keywordflow">return</span> fvec_inner_product_ref (x, y, d);</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;    float32x4_t accu = vdupq_n_f32 (0);</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; d; i += 4) {</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;        float32x4_t xi = vld1q_f32 (x + i);</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;        float32x4_t yi = vld1q_f32 (y + i);</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;        accu = vfmaq_f32 (accu, xi, yi);</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;    }</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;    float32x4_t a2 = vpaddq_f32 (accu, accu);</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;    <span class="keywordflow">return</span> vdups_laneq_f32 (a2, 0) + vdups_laneq_f32 (a2, 1);</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;}</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;<span class="keywordtype">float</span> <a class="code" href="namespacefaiss.html#a7a49180ebf10e643217bbce5862c7f84">fvec_norm_L2sqr</a> (<span class="keyword">const</span> <span class="keywordtype">float</span> *x, <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;{</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;    <span class="keywordflow">if</span> (d &amp; 3) <span class="keywordflow">return</span> fvec_norm_L2sqr_ref (x, d);</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;    float32x4_t accu = vdupq_n_f32 (0);</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; d; i += 4) {</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;        float32x4_t xi = vld1q_f32 (x + i);</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;        accu = vfmaq_f32 (accu, xi, xi);</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;    }</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;    float32x4_t a2 = vpaddq_f32 (accu, accu);</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;    <span class="keywordflow">return</span> vdups_laneq_f32 (a2, 0) + vdups_laneq_f32 (a2, 1);</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;}</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;<span class="comment">// not optimized for ARM</span></div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;<span class="keywordtype">void</span> fvec_L2sqr_ny (<span class="keywordtype">float</span> * dis, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;                        <span class="keyword">const</span> <span class="keywordtype">float</span> * y, <span class="keywordtype">size_t</span> d, <span class="keywordtype">size_t</span> ny) {</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;    fvec_L2sqr_ny_ref (dis, x, y, d, ny);</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;}</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;<span class="preprocessor"></span><span class="comment">// scalar implementation</span></div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;</div>
<div class="line"><a name="l00501"></a><span class="lineno"><a class="line" href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">  501</a></span>&#160;<span class="keywordtype">float</span> <a class="code" href="namespacefaiss.html#a7466bd32de31640860393a701eaac5ad">fvec_L2sqr</a> (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;                  <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;                  <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;{</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;    <span class="keywordflow">return</span> fvec_L2sqr_ref (x, y, d);</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;}</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;<span class="keywordtype">float</span> fvec_inner_product (<span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;                             <span class="keyword">const</span> <span class="keywordtype">float</span> * y,</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;                             <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;{</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;    <span class="keywordflow">return</span> fvec_inner_product_ref (x, y, d);</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;}</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;</div>
<div class="line"><a name="l00515"></a><span class="lineno"><a class="line" href="namespacefaiss.html#a7a49180ebf10e643217bbce5862c7f84">  515</a></span>&#160;<span class="keywordtype">float</span> <a class="code" href="namespacefaiss.html#a7a49180ebf10e643217bbce5862c7f84">fvec_norm_L2sqr</a> (<span class="keyword">const</span> <span class="keywordtype">float</span> *x, <span class="keywordtype">size_t</span> d)</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;{</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;    <span class="keywordflow">return</span> fvec_norm_L2sqr_ref (x, d);</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;}</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;<span class="keywordtype">void</span> fvec_L2sqr_ny (<span class="keywordtype">float</span> * dis, <span class="keyword">const</span> <span class="keywordtype">float</span> * x,</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;                        <span class="keyword">const</span> <span class="keywordtype">float</span> * y, <span class="keywordtype">size_t</span> d, <span class="keywordtype">size_t</span> ny) {</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;    fvec_L2sqr_ny_ref (dis, x, y, d, ny);</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;}</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;</div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;<span class="comment">/***************************************************************************</span></div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;<span class="comment"> * heavily optimized table computations</span></div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;<span class="comment"> ***************************************************************************/</span></div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;<span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> fvec_madd_ref (<span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;                           <span class="keywordtype">float</span> bf, <span class="keyword">const</span> <span class="keywordtype">float</span> *b, <span class="keywordtype">float</span> *c) {</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; i++)</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;        c[i] = a[i] + bf * b[i];</div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;}</div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;</div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;<span class="preprocessor">#ifdef __SSE__</span></div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;<span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> fvec_madd_sse (<span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;                                  <span class="keywordtype">float</span> bf, <span class="keyword">const</span> <span class="keywordtype">float</span> *b, <span class="keywordtype">float</span> *c) {</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;    n &gt;&gt;= 2;</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;    __m128 bf4 = _mm_set_ps1 (bf);</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;    __m128 * a4 = (__m128*)a;</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;    __m128 * b4 = (__m128*)b;</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;    __m128 * c4 = (__m128*)c;</div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;    <span class="keywordflow">while</span> (n--) {</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;        *c4 = _mm_add_ps (*a4, _mm_mul_ps (bf4, *b4));</div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;        b4++;</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;        a4++;</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;        c4++;</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;    }</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;}</div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacefaiss.html#a40328c31abd0bbba5bd95d7de951e847">fvec_madd</a> (<span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;                <span class="keywordtype">float</span> bf, <span class="keyword">const</span> <span class="keywordtype">float</span> *b, <span class="keywordtype">float</span> *c)</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;{</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;    <span class="keywordflow">if</span> ((n &amp; 3) == 0 &amp;&amp;</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;        ((((<span class="keywordtype">long</span>)a) | ((<span class="keywordtype">long</span>)b) | ((<span class="keywordtype">long</span>)c)) &amp; 15) == 0)</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;        fvec_madd_sse (n, a, bf, b, c);</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;        fvec_madd_ref (n, a, bf, b, c);</div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;}</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00588"></a><span class="lineno"><a class="line" href="namespacefaiss.html#a40328c31abd0bbba5bd95d7de951e847">  588</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="namespacefaiss.html#a40328c31abd0bbba5bd95d7de951e847">fvec_madd</a> (<span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;                <span class="keywordtype">float</span> bf, <span class="keyword">const</span> <span class="keywordtype">float</span> *b, <span class="keywordtype">float</span> *c)</div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;{</div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;    fvec_madd_ref (n, a, bf, b, c);</div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;}</div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;</div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;<span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">int</span> fvec_madd_and_argmin_ref (<span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;                                         <span class="keywordtype">float</span> bf, <span class="keyword">const</span> <span class="keywordtype">float</span> *b, <span class="keywordtype">float</span> *c) {</div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;    <span class="keywordtype">float</span> vmin = 1e20;</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;    <span class="keywordtype">int</span> imin = -1;</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;        c[i] = a[i] + bf * b[i];</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;        <span class="keywordflow">if</span> (c[i] &lt; vmin) {</div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;            vmin = c[i];</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;            imin = i;</div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;        }</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;    }</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;    <span class="keywordflow">return</span> imin;</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;}</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;<span class="preprocessor">#ifdef __SSE__</span></div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;<span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">int</span> fvec_madd_and_argmin_sse (</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;        <span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;        <span class="keywordtype">float</span> bf, <span class="keyword">const</span> <span class="keywordtype">float</span> *b, <span class="keywordtype">float</span> *c) {</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;    n &gt;&gt;= 2;</div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;    __m128 bf4 = _mm_set_ps1 (bf);</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;    __m128 vmin4 = _mm_set_ps1 (1e20);</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;    __m128i imin4 = _mm_set1_epi32 (-1);</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;    __m128i idx4 = _mm_set_epi32 (3, 2, 1, 0);</div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;    __m128i inc4 = _mm_set1_epi32 (4);</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;    __m128 * a4 = (__m128*)a;</div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;    __m128 * b4 = (__m128*)b;</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;    __m128 * c4 = (__m128*)c;</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;    <span class="keywordflow">while</span> (n--) {</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;        __m128 vc4 = _mm_add_ps (*a4, _mm_mul_ps (bf4, *b4));</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;        *c4 = vc4;</div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;        __m128i mask = (__m128i)_mm_cmpgt_ps (vmin4, vc4);</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;        <span class="comment">// imin4 = _mm_blendv_epi8 (imin4, idx4, mask); // slower!</span></div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;        imin4 = _mm_or_si128 (_mm_and_si128 (mask, idx4),</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;                              _mm_andnot_si128 (mask, imin4));</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;        vmin4 = _mm_min_ps (vmin4, vc4);</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;        b4++;</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;        a4++;</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;        c4++;</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;        idx4 = _mm_add_epi32 (idx4, inc4);</div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;    }</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;    <span class="comment">// 4 values -&gt; 2</span></div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;    {</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;        idx4 = _mm_shuffle_epi32 (imin4, 3 &lt;&lt; 2 | 2);</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;        __m128 vc4 = _mm_shuffle_ps (vmin4, vmin4, 3 &lt;&lt; 2 | 2);</div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;        __m128i mask = (__m128i)_mm_cmpgt_ps (vmin4, vc4);</div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;        imin4 = _mm_or_si128 (_mm_and_si128 (mask, idx4),</div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;                              _mm_andnot_si128 (mask, imin4));</div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;        vmin4 = _mm_min_ps (vmin4, vc4);</div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;    }</div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;    <span class="comment">// 2 values -&gt; 1</span></div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;    {</div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;        idx4 = _mm_shuffle_epi32 (imin4, 1);</div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;        __m128 vc4 = _mm_shuffle_ps (vmin4, vmin4, 1);</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;        __m128i mask = (__m128i)_mm_cmpgt_ps (vmin4, vc4);</div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;        imin4 = _mm_or_si128 (_mm_and_si128 (mask, idx4),</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;                              _mm_andnot_si128 (mask, imin4));</div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;        <span class="comment">// vmin4 = _mm_min_ps (vmin4, vc4);</span></div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;    }</div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;    <span class="keywordflow">return</span> _mm_cvtsi128_si32 (imin4);</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;}</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;</div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;<span class="keywordtype">int</span> <a class="code" href="namespacefaiss.html#a9da63b8bb84460f5e8ccf8e17622cc7a">fvec_madd_and_argmin</a> (<span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;                          <span class="keywordtype">float</span> bf, <span class="keyword">const</span> <span class="keywordtype">float</span> *b, <span class="keywordtype">float</span> *c)</div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;{</div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;    <span class="keywordflow">if</span> ((n &amp; 3) == 0 &amp;&amp;</div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;        ((((<span class="keywordtype">long</span>)a) | ((<span class="keywordtype">long</span>)b) | ((<span class="keywordtype">long</span>)c)) &amp; 15) == 0)</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;        <span class="keywordflow">return</span> fvec_madd_and_argmin_sse (n, a, bf, b, c);</div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;    <span class="keywordflow">else</span></div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;        <span class="keywordflow">return</span> fvec_madd_and_argmin_ref (n, a, bf, b, c);</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;}</div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00675"></a><span class="lineno"><a class="line" href="namespacefaiss.html#a9da63b8bb84460f5e8ccf8e17622cc7a">  675</a></span>&#160;<span class="keywordtype">int</span> <a class="code" href="namespacefaiss.html#a9da63b8bb84460f5e8ccf8e17622cc7a">fvec_madd_and_argmin</a> (<span class="keywordtype">size_t</span> n, <span class="keyword">const</span> <span class="keywordtype">float</span> *a,</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;                          <span class="keywordtype">float</span> bf, <span class="keyword">const</span> <span class="keywordtype">float</span> *b, <span class="keywordtype">float</span> *c)</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;{</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;  <span class="keywordflow">return</span> fvec_madd_and_argmin_ref (n, a, bf, b, c);</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;}</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;} <span class="comment">// namespace faiss</span></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="namespacefaiss_html_a40328c31abd0bbba5bd95d7de951e847"><div class="ttname"><a href="namespacefaiss.html#a40328c31abd0bbba5bd95d7de951e847">faiss::fvec_madd</a></div><div class="ttdeci">void fvec_madd(size_t n, const float *a, float bf, const float *b, float *c)</div><div class="ttdef"><b>Definition:</b> <a href="utils__simd_8cpp_source.html#l00588">utils_simd.cpp:588</a></div></div>
<div class="ttc" id="namespacefaiss_html_a7a49180ebf10e643217bbce5862c7f84"><div class="ttname"><a href="namespacefaiss.html#a7a49180ebf10e643217bbce5862c7f84">faiss::fvec_norm_L2sqr</a></div><div class="ttdeci">float fvec_norm_L2sqr(const float *x, size_t d)</div><div class="ttdef"><b>Definition:</b> <a href="utils__simd_8cpp_source.html#l00515">utils_simd.cpp:515</a></div></div>
<div class="ttc" id="namespacefaiss_html_a9da63b8bb84460f5e8ccf8e17622cc7a"><div class="ttname"><a href="namespacefaiss.html#a9da63b8bb84460f5e8ccf8e17622cc7a">faiss::fvec_madd_and_argmin</a></div><div class="ttdeci">int fvec_madd_and_argmin(size_t n, const float *a, float bf, const float *b, float *c)</div><div class="ttdef"><b>Definition:</b> <a href="utils__simd_8cpp_source.html#l00675">utils_simd.cpp:675</a></div></div>
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