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| <li class="navelem"><a class="el" href="dir_82f3a10095a8f2296c0cf5c491a57b02.html">cpc</a></li><li class="navelem"><a class="el" href="dir_fabb7854c43508dcbf81254d1daad42f.html">include</a></li> </ul> |
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| <div class="headertitle"><div class="title">cpc_confidence.hpp</div></div> |
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| <div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">/*</span></div> |
| <div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment"> * Licensed to the Apache Software Foundation (ASF) under one</span></div> |
| <div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment"> * or more contributor license agreements. See the NOTICE file</span></div> |
| <div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment"> * distributed with this work for additional information</span></div> |
| <div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment"> * regarding copyright ownership. The ASF licenses this file</span></div> |
| <div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment"> * to you under the Apache License, Version 2.0 (the</span></div> |
| <div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment"> * "License"); you may not use this file except in compliance</span></div> |
| <div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment"> * with the License. You may obtain a copy of the License at</span></div> |
| <div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment"> *</span></div> |
| <div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment"> * http://www.apache.org/licenses/LICENSE-2.0</span></div> |
| <div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment"> *</span></div> |
| <div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment"> * Unless required by applicable law or agreed to in writing,</span></div> |
| <div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="comment"> * software distributed under the License is distributed on an</span></div> |
| <div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment"> * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY</span></div> |
| <div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment"> * KIND, either express or implied. See the License for the</span></div> |
| <div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="comment"> * specific language governing permissions and limitations</span></div> |
| <div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment"> * under the License.</span></div> |
| <div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment"> */</span></div> |
| <div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div> |
| <div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="comment">// author Kevin Lang, Oath Research</span></div> |
| <div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div> |
| <div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#ifndef CPC_CONFIDENCE_HPP_</span></div> |
| <div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#define CPC_CONFIDENCE_HPP_</span></div> |
| <div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div> |
| <div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include <cmath></span></div> |
| <div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include <stdexcept></span></div> |
| <div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div> |
| <div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include "cpc_sketch.hpp"</span></div> |
| <div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div> |
| <div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacedatasketches.html">datasketches</a> {</div> |
| <div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div> |
| <div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// ln 2.0</span></div> |
| <div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> ICON_ERROR_CONSTANT = 0.693147180559945286;</div> |
| <div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div> |
| <div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="comment">// 1, 2, 3, // kappa</span></div> |
| <div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="keyword">static</span> <span class="keyword">const</span> int16_t ICON_LOW_SIDE_DATA [33] = { <span class="comment">// Empirically measured at N = 1000 * K.</span></div> |
| <div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> 6037, 5720, 5328, <span class="comment">// 4 1000000</span></div> |
| <div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> 6411, 6262, 5682, <span class="comment">// 5 1000000</span></div> |
| <div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> 6724, 6403, 6127, <span class="comment">// 6 1000000</span></div> |
| <div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> 6665, 6411, 6208, <span class="comment">// 7 1000000</span></div> |
| <div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> 6959, 6525, 6427, <span class="comment">// 8 1000000</span></div> |
| <div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> 6892, 6665, 6619, <span class="comment">// 9 1000000</span></div> |
| <div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> 6792, 6752, 6690, <span class="comment">// 10 1000000</span></div> |
| <div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> 6899, 6818, 6708, <span class="comment">// 11 1000000</span></div> |
| <div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> 6871, 6845, 6812, <span class="comment">// 12 1046369</span></div> |
| <div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> 6909, 6861, 6828, <span class="comment">// 13 1043411</span></div> |
| <div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> 6919, 6897, 6842, <span class="comment">// 14 1000297</span></div> |
| <div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>}; <span class="comment">// lgK numtrials</span></div> |
| <div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div> |
| <div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment">// 1, 2, 3, // kappa</span></div> |
| <div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="keyword">static</span> <span class="keyword">const</span> int16_t ICON_HIGH_SIDE_DATA [33] = { <span class="comment">// Empirically measured at N = 1000 * K.</span></div> |
| <div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> 8031, 8559, 9309, <span class="comment">// 4 1000000</span></div> |
| <div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> 7084, 7959, 8660, <span class="comment">// 5 1000000</span></div> |
| <div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> 7141, 7514, 7876, <span class="comment">// 6 1000000</span></div> |
| <div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> 7458, 7430, 7572, <span class="comment">// 7 1000000</span></div> |
| <div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> 6892, 7141, 7497, <span class="comment">// 8 1000000</span></div> |
| <div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> 6889, 7132, 7290, <span class="comment">// 9 1000000</span></div> |
| <div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> 7075, 7118, 7185, <span class="comment">// 10 1000000</span></div> |
| <div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> 7040, 7047, 7085, <span class="comment">// 11 1000000</span></div> |
| <div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> 6993, 7019, 7053, <span class="comment">// 12 1046369</span></div> |
| <div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> 6953, 7001, 6983, <span class="comment">// 13 1043411</span></div> |
| <div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> 6944, 6966, 7004, <span class="comment">// 14 1000297</span></div> |
| <div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span>}; <span class="comment">// lgK numtrials</span></div> |
| <div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> </div> |
| <div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span><span class="comment">// sqrt((ln 2.0) / 2.0)</span></div> |
| <div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> HIP_ERROR_CONSTANT = 0.588705011257737332;</div> |
| <div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div> |
| <div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="comment">// 1, 2, 3, // kappa</span></div> |
| <div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="keyword">static</span> <span class="keyword">const</span> int16_t HIP_LOW_SIDE_DATA [33] = { <span class="comment">// Empirically measured at N = 1000 * K.</span></div> |
| <div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> 5871, 5247, 4826, <span class="comment">// 4 1000000</span></div> |
| <div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> 5877, 5403, 5070, <span class="comment">// 5 1000000</span></div> |
| <div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> 5873, 5533, 5304, <span class="comment">// 6 1000000</span></div> |
| <div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> 5878, 5632, 5464, <span class="comment">// 7 1000000</span></div> |
| <div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> 5874, 5690, 5564, <span class="comment">// 8 1000000</span></div> |
| <div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> 5880, 5745, 5619, <span class="comment">// 9 1000000</span></div> |
| <div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> 5875, 5784, 5701, <span class="comment">// 10 1000000</span></div> |
| <div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> 5866, 5789, 5742, <span class="comment">// 11 1000000</span></div> |
| <div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> 5869, 5827, 5784, <span class="comment">// 12 1046369</span></div> |
| <div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> 5876, 5860, 5827, <span class="comment">// 13 1043411</span></div> |
| <div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> 5881, 5853, 5842, <span class="comment">// 14 1000297</span></div> |
| <div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>}; <span class="comment">// lgK numtrials</span></div> |
| <div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div> |
| <div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span><span class="comment">// 1, 2, 3, // kappa</span></div> |
| <div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span><span class="keyword">static</span> <span class="keyword">const</span> int16_t HIP_HIGH_SIDE_DATA [33] = { <span class="comment">// Empirically measured at N = 1000 * K.</span></div> |
| <div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> 5855, 6688, 7391, <span class="comment">// 4 1000000</span></div> |
| <div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> 5886, 6444, 6923, <span class="comment">// 5 1000000</span></div> |
| <div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> 5885, 6254, 6594, <span class="comment">// 6 1000000</span></div> |
| <div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> 5889, 6134, 6326, <span class="comment">// 7 1000000</span></div> |
| <div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> 5900, 6072, 6203, <span class="comment">// 8 1000000</span></div> |
| <div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> 5875, 6005, 6089, <span class="comment">// 9 1000000</span></div> |
| <div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> 5871, 5980, 6040, <span class="comment">// 10 1000000</span></div> |
| <div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> 5889, 5941, 6015, <span class="comment">// 11 1000000</span></div> |
| <div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> 5871, 5926, 5973, <span class="comment">// 12 1046369</span></div> |
| <div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> 5866, 5901, 5915, <span class="comment">// 13 1043411</span></div> |
| <div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> 5880, 5914, 5953, <span class="comment">// 14 1000297</span></div> |
| <div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span>}; <span class="comment">// lgK numtrials</span></div> |
| <div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div> |
| <div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span><span class="keyword">template</span><<span class="keyword">typename</span> A></div> |
| <div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span><span class="keywordtype">double</span> get_icon_confidence_lb(<span class="keyword">const</span> cpc_sketch_alloc<A>& sketch, <span class="keywordtype">int</span> kappa) {</div> |
| <div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keywordflow">if</span> (sketch.get_num_coupons() == 0) <span class="keywordflow">return</span> 0.0;</div> |
| <div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">const</span> <span class="keywordtype">int</span> lg_k = sketch.get_lg_k();</div> |
| <div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keyword">const</span> <span class="keywordtype">long</span> k = 1 << lg_k;</div> |
| <div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">if</span> (lg_k < 4) <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">"lgk < 4"</span>);</div> |
| <div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">if</span> (kappa < 1 || kappa > 3) <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kappa must be between 1 and 3"</span>);</div> |
| <div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordtype">double</span> x = ICON_ERROR_CONSTANT;</div> |
| <div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordflow">if</span> (lg_k <= 14) x = ((double) ICON_HIGH_SIDE_DATA[3 * (lg_k - 4) + (kappa - 1)]) / 10000.0;</div> |
| <div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">const</span> <span class="keywordtype">double</span> rel = x / sqrt(k);</div> |
| <div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">const</span> <span class="keywordtype">double</span> eps = kappa * rel;</div> |
| <div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">const</span> <span class="keywordtype">double</span> est = sketch.get_icon_estimate();</div> |
| <div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordtype">double</span> result = est / (1.0 + eps);</div> |
| <div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> <span class="keywordtype">double</span> check = sketch.get_num_coupons();</div> |
| <div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">if</span> (result < check) result = check;</div> |
| <div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">return</span> result;</div> |
| <div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span>}</div> |
| <div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div> |
| <div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span><span class="keyword">template</span><<span class="keyword">typename</span> A></div> |
| <div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span><span class="keywordtype">double</span> get_icon_confidence_ub(<span class="keyword">const</span> cpc_sketch_alloc<A>& sketch, <span class="keywordtype">int</span> kappa) {</div> |
| <div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">if</span> (sketch.get_num_coupons() == 0) <span class="keywordflow">return</span> 0.0;</div> |
| <div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">const</span> <span class="keywordtype">int</span> lg_k = sketch.get_lg_k();</div> |
| <div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keyword">const</span> <span class="keywordtype">long</span> k = 1 << lg_k;</div> |
| <div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">if</span> (lg_k < 4) <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">"lgk < 4"</span>);</div> |
| <div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">if</span> (kappa < 1 || kappa > 3) <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kappa must be between 1 and 3"</span>);</div> |
| <div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keywordtype">double</span> x = ICON_ERROR_CONSTANT;</div> |
| <div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">if</span> (lg_k <= 14) x = ((double) ICON_LOW_SIDE_DATA[3 * (lg_k - 4) + (kappa - 1)]) / 10000.0;</div> |
| <div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keyword">const</span> <span class="keywordtype">double</span> rel = x / sqrt(k);</div> |
| <div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keyword">const</span> <span class="keywordtype">double</span> eps = kappa * rel;</div> |
| <div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keyword">const</span> <span class="keywordtype">double</span> est = sketch.get_icon_estimate();</div> |
| <div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">const</span> <span class="keywordtype">double</span> result = est / (1.0 - eps);</div> |
| <div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">return</span> ceil(result); <span class="comment">// widening for coverage</span></div> |
| <div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span>}</div> |
| <div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> </div> |
| <div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span><span class="keyword">template</span><<span class="keyword">typename</span> A></div> |
| <div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span><span class="keywordtype">double</span> get_hip_confidence_lb(<span class="keyword">const</span> cpc_sketch_alloc<A>& sketch, <span class="keywordtype">int</span> kappa) {</div> |
| <div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">if</span> (sketch.get_num_coupons() == 0) <span class="keywordflow">return</span> 0.0;</div> |
| <div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keyword">const</span> <span class="keywordtype">int</span> lg_k = sketch.get_lg_k();</div> |
| <div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">const</span> <span class="keywordtype">long</span> k = 1 << lg_k;</div> |
| <div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">if</span> (lg_k < 4) <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">"lgk < 4"</span>);</div> |
| <div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordflow">if</span> (kappa < 1 || kappa > 3) <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kappa must be between 1 and 3"</span>);</div> |
| <div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordtype">double</span> x = HIP_ERROR_CONSTANT;</div> |
| <div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">if</span> (lg_k <= 14) x = ((double) HIP_HIGH_SIDE_DATA[3 * (lg_k - 4) + (kappa - 1)]) / 10000.0;</div> |
| <div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">const</span> <span class="keywordtype">double</span> rel = x / (sqrt((<span class="keywordtype">double</span>) k));</div> |
| <div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keyword">const</span> <span class="keywordtype">double</span> eps = ((double) kappa) * rel;</div> |
| <div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keyword">const</span> <span class="keywordtype">double</span> est = sketch.get_hip_estimate();</div> |
| <div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordtype">double</span> result = est / (1.0 + eps);</div> |
| <div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keyword">const</span> <span class="keywordtype">double</span> check = (double) sketch.get_num_coupons();</div> |
| <div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordflow">if</span> (result < check) result = check;</div> |
| <div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">return</span> result;</div> |
| <div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span>}</div> |
| <div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> </div> |
| <div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span><span class="keyword">template</span><<span class="keyword">typename</span> A></div> |
| <div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span><span class="keywordtype">double</span> get_hip_confidence_ub(<span class="keyword">const</span> cpc_sketch_alloc<A>& sketch, <span class="keywordtype">int</span> kappa) {</div> |
| <div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">if</span> (sketch.get_num_coupons() == 0) <span class="keywordflow">return</span> 0.0;</div> |
| <div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keyword">const</span> <span class="keywordtype">int</span> lg_k = sketch.get_lg_k();</div> |
| <div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keyword">const</span> <span class="keywordtype">long</span> k = 1 << lg_k;</div> |
| <div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordflow">if</span> (lg_k < 4) <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">"lgk < 4"</span>);</div> |
| <div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">if</span> (kappa < 1 || kappa > 3) <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kappa must be between 1 and 3"</span>);</div> |
| <div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordtype">double</span> x = HIP_ERROR_CONSTANT;</div> |
| <div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordflow">if</span> (lg_k <= 14) x = ((double) HIP_LOW_SIDE_DATA[3 * (lg_k - 4) + (kappa - 1)]) / 10000.0;</div> |
| <div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keyword">const</span> <span class="keywordtype">double</span> rel = x / sqrt(k);</div> |
| <div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keyword">const</span> <span class="keywordtype">double</span> eps = kappa * rel;</div> |
| <div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keyword">const</span> <span class="keywordtype">double</span> est = sketch.get_hip_estimate();</div> |
| <div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keyword">const</span> <span class="keywordtype">double</span> result = est / (1.0 - eps);</div> |
| <div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keywordflow">return</span> ceil(result); <span class="comment">// widening for coverage</span></div> |
| <div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span>}</div> |
| <div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div> |
| <div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span>} <span class="comment">/* namespace datasketches */</span></div> |
| <div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div> |
| <div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span><span class="preprocessor">#endif</span></div> |
| <div class="ttc" id="anamespacedatasketches_html"><div class="ttname"><a href="namespacedatasketches.html">datasketches</a></div><div class="ttdoc">DataSketches namespace.</div><div class="ttdef"><b>Definition</b> binomial_bounds.hpp:38</div></div> |
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