MathOperators_8cuh_source.html 78.9 KB
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<li class="navelem"><a class="el" href="dir_6b3ae6988449b0834e9596fad5d75199.html">gpu</a></li><li class="navelem"><a class="el" href="dir_498271007b03b2a0521055e88776887b.html">utils</a></li>  </ul>
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<div class="title">MathOperators.cuh</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">/**</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * Copyright (c) 2015-present, Facebook, Inc.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * All rights reserved.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * This source code is licensed under the CC-by-NC license found in the</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * LICENSE file in the root directory of this source tree.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// Copyright 2004-present Facebook. All Rights Reserved.</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">#pragma once</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &quot;Float16.cuh&quot;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">// Templated wrappers to express math for different scalar and vector</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">// types, so kernels can have the same written form but can operate</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">// over half and float, and on vector types transparently</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span>faiss { <span class="keyword">namespace </span>gpu {</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="structfaiss_1_1gpu_1_1Math.html">   25</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structfaiss_1_1gpu_1_1Math.html">Math</a> {</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">typedef</span> T ScalarType;</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;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ T add(T a, T b) {</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keywordflow">return</span> a + b;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  }</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ T sub(T a, T b) {</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keywordflow">return</span> a - b;</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;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ T mul(T a, T b) {</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keywordflow">return</span> a * b;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  }</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="keyword">static</span> <span class="keyword">inline</span> __device__ T neg(T v) {</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keywordflow">return</span> -v;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  }</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="comment">  /// For a vector type, this is a horizontal add, returning sum(v_i)</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">   45</a></span>&#160;<span class="comment"></span>  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ T <a class="code" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">reduceAdd</a>(T v) {</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  }</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ <span class="keywordtype">bool</span> lt(T a, T b) {</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keywordflow">return</span> a &lt; b;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  }</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ <span class="keywordtype">bool</span> gt(T a, T b) {</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="keywordflow">return</span> a &gt; b;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  }</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ <span class="keywordtype">bool</span> eq(T a, T b) {</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <span class="keywordflow">return</span> a == b;</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="keyword">static</span> <span class="keyword">inline</span> __device__ T zero() {</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    <span class="keywordflow">return</span> (T) 0;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  }</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;};</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="structfaiss_1_1gpu_1_1Math_3_01float2_01_4.html">   67</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structfaiss_1_1gpu_1_1Math.html">Math</a>&lt;float2&gt; {</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  <span class="keyword">typedef</span> <span class="keywordtype">float</span> ScalarType;</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="keyword">static</span> <span class="keyword">inline</span> __device__ float2 add(float2 a, float2 b) {</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    float2 v;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    v.x = a.x + b.x;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    v.y = a.y + b.y;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="keywordflow">return</span> v;</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;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float2 sub(float2 a, float2 b) {</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    float2 v;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    v.x = a.x - b.x;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    v.y = a.y - b.y;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <span class="keywordflow">return</span> v;</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;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float2 add(float2 a, <span class="keywordtype">float</span> b) {</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    float2 v;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    v.x = a.x + b;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    v.y = a.y + b;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    <span class="keywordflow">return</span> v;</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;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float2 sub(float2 a, <span class="keywordtype">float</span> b) {</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    float2 v;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    v.x = a.x - b;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    v.y = a.y - b;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  }</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;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float2 mul(float2 a, float2 b) {</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    float2 v;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    v.x = a.x * b.x;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    v.y = a.y * b.y;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  }</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="keyword">static</span> <span class="keyword">inline</span> __device__ float2 mul(float2 a, <span class="keywordtype">float</span> b) {</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    float2 v;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    v.x = a.x * b;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    v.y = a.y * b;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  }</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float2 neg(float2 v) {</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    v.x = -v.x;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    v.y = -v.y;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  }</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="comment">  /// For a vector type, this is a horizontal add, returning sum(v_i)</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="structfaiss_1_1gpu_1_1Math_3_01float2_01_4.html#a7209fbfc90ac5108d2814a0eda921f31">  119</a></span>&#160;<span class="comment"></span>  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ <span class="keywordtype">float</span> <a class="code" href="structfaiss_1_1gpu_1_1Math_3_01float2_01_4.html#a7209fbfc90ac5108d2814a0eda921f31">reduceAdd</a>(float2 v) {</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keywordflow">return</span> v.x + v.y;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  }</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;  <span class="comment">// not implemented for vector types</span></div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  <span class="comment">// static inline __device__ bool lt(float2 a, float2 b);</span></div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  <span class="comment">// static inline __device__ bool gt(float2 a, float2 b);</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  <span class="comment">// static inline __device__ bool eq(float2 a, float2 b);</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float2 zero() {</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    float2 v;</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    v.x = 0.0f;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    v.y = 0.0f;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;  }</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;};</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="structfaiss_1_1gpu_1_1Math_3_01float4_01_4.html">  137</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structfaiss_1_1gpu_1_1Math.html">Math</a>&lt;float4&gt; {</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  <span class="keyword">typedef</span> <span class="keywordtype">float</span> ScalarType;</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;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float4 add(float4 a, float4 b) {</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    float4 v;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    v.x = a.x + b.x;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    v.y = a.y + b.y;</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    v.z = a.z + b.z;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    v.w = a.w + b.w;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keywordflow">return</span> v;</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;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float4 sub(float4 a, float4 b) {</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    float4 v;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    v.x = a.x - b.x;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    v.y = a.y - b.y;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    v.z = a.z - b.z;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    v.w = a.w - b.w;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;  }</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float4 add(float4 a, <span class="keywordtype">float</span> b) {</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    float4 v;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    v.x = a.x + b;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    v.y = a.y + b;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    v.z = a.z + b;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    v.w = a.w + b;</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  }</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float4 sub(float4 a, <span class="keywordtype">float</span> b) {</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    float4 v;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    v.x = a.x - b;</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    v.y = a.y - b;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    v.z = a.z - b;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    v.w = a.w - b;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  }</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float4 mul(float4 a, float4 b) {</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    float4 v;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;    v.x = a.x * b.x;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    v.y = a.y * b.y;</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    v.z = a.z * b.z;</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;    v.w = a.w * b.w;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;  }</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float4 mul(float4 a, <span class="keywordtype">float</span> b) {</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    float4 v;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    v.x = a.x * b;</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;    v.y = a.y * b;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    v.z = a.z * b;</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;    v.w = a.w * b;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  }</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="keyword">static</span> <span class="keyword">inline</span> __device__ float4 neg(float4 v) {</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    v.x = -v.x;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;    v.y = -v.y;</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;    v.z = -v.z;</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    v.w = -v.w;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  }</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;<span class="comment">  /// For a vector type, this is a horizontal add, returning sum(v_i)</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"><a class="line" href="structfaiss_1_1gpu_1_1Math_3_01float4_01_4.html#a6a6b9896d47254011701773b3379ab13">  203</a></span>&#160;<span class="comment"></span>  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ <span class="keywordtype">float</span> <a class="code" href="structfaiss_1_1gpu_1_1Math_3_01float4_01_4.html#a6a6b9896d47254011701773b3379ab13">reduceAdd</a>(float4 v) {</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    <span class="keywordflow">return</span> v.x + v.y + v.z + v.w;</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;  }</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;  <span class="comment">// not implemented for vector types</span></div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;  <span class="comment">// static inline __device__ bool lt(float4 a, float4 b);</span></div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;  <span class="comment">// static inline __device__ bool gt(float4 a, float4 b);</span></div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;  <span class="comment">// static inline __device__ bool eq(float4 a, float4 b);</span></div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ float4 zero() {</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;    float4 v;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;    v.x = 0.0f;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    v.y = 0.0f;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    v.z = 0.0f;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;    v.w = 0.0f;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;  }</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;};</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FLOAT16</span></div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;<span class="keyword">struct </span>Math&lt;half&gt; {</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;  <span class="keyword">typedef</span> half ScalarType;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half add(half a, half b) {</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hadd(a, b);</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __float2half(__half2float(a) + __half2float(b));</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half sub(half a, half b) {</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hsub(a, b);</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __float2half(__half2float(a) - __half2float(b));</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;<span class="preprocessor"></span>  }</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;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half mul(half a, half b) {</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hmul(a, b);</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __float2half(__half2float(a) * __half2float(b));</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half neg(half v) {</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hneg(v);</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __float2half(-__half2float(v));</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half <a class="code" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">reduceAdd</a>(half v) {</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;    <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;  }</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ <span class="keywordtype">bool</span> lt(half a, half b) {</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hlt(a, b);</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __half2float(a) &lt; __half2float(b);</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ <span class="keywordtype">bool</span> gt(half a, half b) {</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hgt(a, b);</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __half2float(a) &gt; __half2float(b);</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ <span class="keywordtype">bool</span> eq(half a, half b) {</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __heq(a, b);</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __half2float(a) == __half2float(b);</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half zero() {</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;    half h;</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;    h.x = 0;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;    <span class="keywordflow">return</span> h;</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;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;<span class="keyword">struct </span>Math&lt;half2&gt; {</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;  <span class="keyword">typedef</span> half ScalarType;</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half2 add(half2 a, half2 b) {</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hadd2(a, b);</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;<span class="preprocessor"></span>  float2 af = __half22float2(a);</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;  float2 bf = __half22float2(b);</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;  af.x += bf.x;</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;  af.y += bf.y;</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;  <span class="keywordflow">return</span> __float22half2_rn(af);</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half2 sub(half2 a, half2 b) {</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hsub2(a, b);</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;<span class="preprocessor"></span>  float2 af = __half22float2(a);</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;  float2 bf = __half22float2(b);</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;  af.x -= bf.x;</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;  af.y -= bf.y;</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">return</span> __float22half2_rn(af);</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half2 add(half2 a, half b) {</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;<span class="preprocessor"></span>    half2 b2 = __half2half2(b);</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;    <span class="keywordflow">return</span> __hadd2(a, b2);</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;<span class="preprocessor"></span>  float2 af = __half22float2(a);</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;  <span class="keywordtype">float</span> bf = __half2float(b);</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;  af.x += bf;</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;  af.y += bf;</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;  <span class="keywordflow">return</span> __float22half2_rn(af);</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half2 sub(half2 a, half b) {</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;<span class="preprocessor"></span>    half2 b2 = __half2half2(b);</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;    <span class="keywordflow">return</span> __hsub2(a, b2);</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;<span class="preprocessor"></span>  float2 af = __half22float2(a);</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;  <span class="keywordtype">float</span> bf = __half2float(b);</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;  af.x -= bf;</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;  af.y -= bf;</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;  <span class="keywordflow">return</span> __float22half2_rn(af);</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;<span class="preprocessor"></span>  }</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="keyword">static</span> <span class="keyword">inline</span> __device__ half2 mul(half2 a, half2 b) {</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hmul2(a, b);</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;<span class="preprocessor"></span>  float2 af = __half22float2(a);</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;  float2 bf = __half22float2(b);</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;  af.x *= bf.x;</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;  af.y *= bf.y;</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;  <span class="keywordflow">return</span> __float22half2_rn(af);</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half2 mul(half2 a, half b) {</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;<span class="preprocessor"></span>    half2 b2 = __half2half2(b);</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;    <span class="keywordflow">return</span> __hmul2(a, b2);</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;<span class="preprocessor"></span>  float2 af = __half22float2(a);</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;  <span class="keywordtype">float</span> bf = __half2float(b);</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  af.x *= bf;</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;  af.y *= bf;</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;  <span class="keywordflow">return</span> __float22half2_rn(af);</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half2 neg(half2 v) {</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;<span class="preprocessor"></span>    <span class="keywordflow">return</span> __hneg2(v);</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;<span class="preprocessor"></span>  float2 vf = __half22float2(v);</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;  vf.x = -vf.x;</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;  vf.y = -vf.y;</div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;  <span class="keywordflow">return</span> __float22half2_rn(vf);</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;<span class="preprocessor"></span>  }</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half <a class="code" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">reduceAdd</a>(half2 v) {</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;<span class="preprocessor">#ifdef FAISS_USE_FULL_FLOAT16</span></div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;<span class="preprocessor"></span>  half hv = __high2half(v);</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;  half lv = __low2half(v);</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;  <span class="keywordflow">return</span> __hadd(hv, lv);</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;<span class="preprocessor">#else</span></div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;<span class="preprocessor"></span>  float2 vf = __half22float2(v);</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;  vf.x += vf.y;</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;  <span class="keywordflow">return</span> __float2half(vf.x);</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;<span class="preprocessor"></span>  }</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;  <span class="comment">// not implemented for vector types</span></div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;  <span class="comment">// static inline __device__ bool lt(half2 a, half2 b);</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;  <span class="comment">// static inline __device__ bool gt(half2 a, half2 b);</span></div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;  <span class="comment">// static inline __device__ bool eq(half2 a, half2 b);</span></div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half2 zero() {</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;    <span class="keywordflow">return</span> __half2half2(Math&lt;half&gt;::zero());</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;  }</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;};</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;<span class="keyword">struct </span>Math&lt;Half4&gt; {</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;  <span class="keyword">typedef</span> half ScalarType;</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="keyword">static</span> <span class="keyword">inline</span> __device__ Half4 add(Half4 a, Half4 b) {</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;    Half4 h;</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;    h.a = Math&lt;half2&gt;::add(a.a, b.a);</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;    h.b = Math&lt;half2&gt;::add(a.b, b.b);</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;    <span class="keywordflow">return</span> h;</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="keyword">static</span> <span class="keyword">inline</span> __device__ Half4 sub(Half4 a, Half4 b) {</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;    Half4 h;</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;    h.a = Math&lt;half2&gt;::sub(a.a, b.a);</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;    h.b = Math&lt;half2&gt;::sub(a.b, b.b);</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;  }</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ Half4 add(Half4 a, half b) {</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;    Half4 h;</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    h.a = Math&lt;half2&gt;::add(a.a, b);</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;    h.b = Math&lt;half2&gt;::add(a.b, b);</div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;  }</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ Half4 sub(Half4 a, half b) {</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;    Half4 h;</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;    h.a = Math&lt;half2&gt;::sub(a.a, b);</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;    h.b = Math&lt;half2&gt;::sub(a.b, b);</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;  }</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ Half4 mul(Half4 a, Half4 b) {</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;    Half4 h;</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;    h.a = Math&lt;half2&gt;::mul(a.a, b.a);</div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;    h.b = Math&lt;half2&gt;::mul(a.b, b.b);</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;    <span class="keywordflow">return</span> h;</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;</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ Half4 mul(Half4 a, half b) {</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;    Half4 h;</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;    h.a = Math&lt;half2&gt;::mul(a.a, b);</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;    h.b = Math&lt;half2&gt;::mul(a.b, b);</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;  }</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="keyword">static</span> <span class="keyword">inline</span> __device__ Half4 neg(Half4 v) {</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;    Half4 h;</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;    h.a = Math&lt;half2&gt;::neg(v.a);</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;    h.b = Math&lt;half2&gt;::neg(v.b);</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;  }</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;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ half <a class="code" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">reduceAdd</a>(Half4 v) {</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;    half hx = <a class="code" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">Math&lt;half2&gt;::reduceAdd</a>(v.a);</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;    half hy = <a class="code" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">Math&lt;half2&gt;::reduceAdd</a>(v.b);</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;    <span class="keywordflow">return</span> Math&lt;half&gt;::add(hx, hy);</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;  }</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;</div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;  <span class="comment">// not implemented for vector types</span></div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;  <span class="comment">// static inline __device__ bool lt(Half4 a, Half4 b);</span></div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;  <span class="comment">// static inline __device__ bool gt(Half4 a, Half4 b);</span></div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;  <span class="comment">// static inline __device__ bool eq(Half4 a, Half4 b);</span></div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ Half4 zero() {</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;    Half4 h;</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;    h.a = Math&lt;half2&gt;::zero();</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;    h.b = Math&lt;half2&gt;::zero();</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;  }</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;};</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;<span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;<span class="keyword">struct </span>Math&lt;Half8&gt; {</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;  <span class="keyword">typedef</span> half ScalarType;</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="keyword">static</span> <span class="keyword">inline</span> __device__ Half8 add(Half8 a, Half8 b) {</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;    Half8 h;</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;    h.a = Math&lt;Half4&gt;::add(a.a, b.a);</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;    h.b = Math&lt;Half4&gt;::add(a.b, b.b);</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;  }</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="keyword">static</span> <span class="keyword">inline</span> __device__ Half8 sub(Half8 a, Half8 b) {</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;    Half8 h;</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;    h.a = Math&lt;Half4&gt;::sub(a.a, b.a);</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;    h.b = Math&lt;Half4&gt;::sub(a.b, b.b);</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;  }</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ Half8 add(Half8 a, half b) {</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;    Half8 h;</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;    h.a = Math&lt;Half4&gt;::add(a.a, b);</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;    h.b = Math&lt;Half4&gt;::add(a.b, b);</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;  }</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ Half8 sub(Half8 a, half b) {</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;    Half8 h;</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;    h.a = Math&lt;Half4&gt;::sub(a.a, b);</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;    h.b = Math&lt;Half4&gt;::sub(a.b, b);</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;    <span class="keywordflow">return</span> h;</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="keyword">static</span> <span class="keyword">inline</span> __device__ Half8 mul(Half8 a, Half8 b) {</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;    Half8 h;</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;    h.a = Math&lt;Half4&gt;::mul(a.a, b.a);</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;    h.b = Math&lt;Half4&gt;::mul(a.b, b.b);</div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;    <span class="keywordflow">return</span> h;</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;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ Half8 mul(Half8 a, half b) {</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;    Half8 h;</div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;    h.a = Math&lt;Half4&gt;::mul(a.a, b);</div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;    h.b = Math&lt;Half4&gt;::mul(a.b, b);</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;    <span class="keywordflow">return</span> h;</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;  <span class="keyword">static</span> <span class="keyword">inline</span> __device__ Half8 neg(Half8 v) {</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;    Half8 h;</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;    h.a = Math&lt;Half4&gt;::neg(v.a);</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;    h.b = Math&lt;Half4&gt;::neg(v.b);</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;    <span class="keywordflow">return</span> h;</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="keyword">static</span> <span class="keyword">inline</span> __device__ half <a class="code" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">reduceAdd</a>(Half8 v) {</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;    half hx = <a class="code" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">Math&lt;Half4&gt;::reduceAdd</a>(v.a);</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;    half hy = <a class="code" href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">Math&lt;Half4&gt;::reduceAdd</a>(v.b);</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;    <span class="keywordflow">return</span> Math&lt;half&gt;::add(hx, hy);</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;</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;  <span class="comment">// not implemented for vector types</span></div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;  <span class="comment">// static inline __device__ bool lt(Half8 a, Half8 b);</span></div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;  <span class="comment">// static inline __device__ bool gt(Half8 a, Half8 b);</span></div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;  <span class="comment">// static inline __device__ bool eq(Half8 a, Half8 b);</span></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="keyword">static</span> <span class="keyword">inline</span> __device__ Half8 zero() {</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;    Half8 h;</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;    h.a = Math&lt;Half4&gt;::zero();</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;    h.b = Math&lt;Half4&gt;::zero();</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;    <span class="keywordflow">return</span> h;</div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;  }</div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;};</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;<span class="preprocessor">#endif // FAISS_USE_FLOAT16</span></div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;} } <span class="comment">// namespace</span></div>
<div class="ttc" id="structfaiss_1_1gpu_1_1Math_html"><div class="ttname"><a href="structfaiss_1_1gpu_1_1Math.html">faiss::gpu::Math</a></div><div class="ttdef"><b>Definition:</b> <a href="MathOperators_8cuh_source.html#l00025">MathOperators.cuh:25</a></div></div>
<div class="ttc" id="structfaiss_1_1gpu_1_1Math_html_a4b17f0b5d014f300e76dde5b24af8014"><div class="ttname"><a href="structfaiss_1_1gpu_1_1Math.html#a4b17f0b5d014f300e76dde5b24af8014">faiss::gpu::Math::reduceAdd</a></div><div class="ttdeci">static __device__ T reduceAdd(T v)</div><div class="ttdoc">For a vector type, this is a horizontal add, returning sum(v_i) </div><div class="ttdef"><b>Definition:</b> <a href="MathOperators_8cuh_source.html#l00045">MathOperators.cuh:45</a></div></div>
<div class="ttc" id="structfaiss_1_1gpu_1_1Math_3_01float2_01_4_html_a7209fbfc90ac5108d2814a0eda921f31"><div class="ttname"><a href="structfaiss_1_1gpu_1_1Math_3_01float2_01_4.html#a7209fbfc90ac5108d2814a0eda921f31">faiss::gpu::Math&lt; float2 &gt;::reduceAdd</a></div><div class="ttdeci">static __device__ float reduceAdd(float2 v)</div><div class="ttdoc">For a vector type, this is a horizontal add, returning sum(v_i) </div><div class="ttdef"><b>Definition:</b> <a href="MathOperators_8cuh_source.html#l00119">MathOperators.cuh:119</a></div></div>
<div class="ttc" id="structfaiss_1_1gpu_1_1Math_3_01float4_01_4_html_a6a6b9896d47254011701773b3379ab13"><div class="ttname"><a href="structfaiss_1_1gpu_1_1Math_3_01float4_01_4.html#a6a6b9896d47254011701773b3379ab13">faiss::gpu::Math&lt; float4 &gt;::reduceAdd</a></div><div class="ttdeci">static __device__ float reduceAdd(float4 v)</div><div class="ttdoc">For a vector type, this is a horizontal add, returning sum(v_i) </div><div class="ttdef"><b>Definition:</b> <a href="MathOperators_8cuh_source.html#l00203">MathOperators.cuh:203</a></div></div>
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