Google Git
Sign in
apache / datasketches-cpp / 13384f8d3b370ee394a2e4678bb2b49cd8e0e98f / . / docs / master / cpc__confidence_8hpp_source.html
blob: 72b95687385e748a7e08550427aa6fe10ef72f72 [file] [log] [blame]
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.9.1"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>datasketches-cpp: cpc/include/cpc_confidence.hpp Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/searchdata.js"></script>
<script type="text/javascript" src="search/search.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td id="projectalign" style="padding-left: 0.5em;">
<div id="projectname">datasketches-cpp
</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.9.1 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
var searchBox = new SearchBox("searchBox", "search",false,'Search','.html');
/* @license-end */
</script>
<script type="text/javascript" src="menudata.js"></script>
<script type="text/javascript" src="menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
$(function() {
initMenu('',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
/* @license-end */</script>
<div id="main-nav"></div>
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0"
name="MSearchResults" id="MSearchResults">
</iframe>
</div>
<div id="nav-path" class="navpath">
<ul>
<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>
</div>
</div><!-- top -->
<div class="header">
<div class="headertitle">
<div class="title">cpc_confidence.hpp</div> </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> * Licensed to the Apache Software Foundation (ASF) under one</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> * or more contributor license agreements. See the NOTICE file</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> * distributed with this work for additional information</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> * regarding copyright ownership. The ASF licenses this file</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> * to you under the Apache License, Version 2.0 (the</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> * &quot;License&quot;); you may not use this file except in compliance</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * with the License. You may obtain a copy of the License at</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> * http://www.apache.org/licenses/LICENSE-2.0</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment"> * Unless required by applicable law or agreed to in writing,</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"> * software distributed under the License is distributed on an</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment"> * &quot;AS IS&quot; BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> * KIND, either express or implied. See the License for the</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> * specific language governing permissions and limitations</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> * under the License.</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment">// author Kevin Lang, Oath Research</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="preprocessor">#ifndef CPC_CONFIDENCE_HPP_</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#define CPC_CONFIDENCE_HPP_</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></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="preprocessor">#include &quot;cpc_sketch.hpp&quot;</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacedatasketches.html">datasketches</a> {</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="comment">// ln 2.0</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<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 name="l00034"></a><span class="lineno"> 34</span>&#160; </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="comment">// 1, 2, 3, // kappa</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<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 name="l00037"></a><span class="lineno"> 37</span>&#160; 6037, 5720, 5328, <span class="comment">// 4 1000000</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; 6411, 6262, 5682, <span class="comment">// 5 1000000</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; 6724, 6403, 6127, <span class="comment">// 6 1000000</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; 6665, 6411, 6208, <span class="comment">// 7 1000000</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; 6959, 6525, 6427, <span class="comment">// 8 1000000</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; 6892, 6665, 6619, <span class="comment">// 9 1000000</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; 6792, 6752, 6690, <span class="comment">// 10 1000000</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; 6899, 6818, 6708, <span class="comment">// 11 1000000</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; 6871, 6845, 6812, <span class="comment">// 12 1046369</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; 6909, 6861, 6828, <span class="comment">// 13 1043411</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; 6919, 6897, 6842, <span class="comment">// 14 1000297</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;}; <span class="comment">// lgK numtrials</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="comment">// 1, 2, 3, // kappa</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<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 name="l00052"></a><span class="lineno"> 52</span>&#160; 8031, 8559, 9309, <span class="comment">// 4 1000000</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; 7084, 7959, 8660, <span class="comment">// 5 1000000</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; 7141, 7514, 7876, <span class="comment">// 6 1000000</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; 7458, 7430, 7572, <span class="comment">// 7 1000000</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; 6892, 7141, 7497, <span class="comment">// 8 1000000</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; 6889, 7132, 7290, <span class="comment">// 9 1000000</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; 7075, 7118, 7185, <span class="comment">// 10 1000000</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; 7040, 7047, 7085, <span class="comment">// 11 1000000</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; 6993, 7019, 7053, <span class="comment">// 12 1046369</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; 6953, 7001, 6983, <span class="comment">// 13 1043411</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; 6944, 6966, 7004, <span class="comment">// 14 1000297</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;}; <span class="comment">// lgK numtrials</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="comment">// sqrt((ln 2.0) / 2.0)</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<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 name="l00067"></a><span class="lineno"> 67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;<span class="comment">// 1, 2, 3, // kappa</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<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 name="l00070"></a><span class="lineno"> 70</span>&#160; 5871, 5247, 4826, <span class="comment">// 4 1000000</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; 5877, 5403, 5070, <span class="comment">// 5 1000000</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; 5873, 5533, 5304, <span class="comment">// 6 1000000</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; 5878, 5632, 5464, <span class="comment">// 7 1000000</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; 5874, 5690, 5564, <span class="comment">// 8 1000000</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; 5880, 5745, 5619, <span class="comment">// 9 1000000</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; 5875, 5784, 5701, <span class="comment">// 10 1000000</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; 5866, 5789, 5742, <span class="comment">// 11 1000000</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; 5869, 5827, 5784, <span class="comment">// 12 1046369</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; 5876, 5860, 5827, <span class="comment">// 13 1043411</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; 5881, 5853, 5842, <span class="comment">// 14 1000297</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;}; <span class="comment">// lgK numtrials</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; </div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="comment">// 1, 2, 3, // kappa</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<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 name="l00085"></a><span class="lineno"> 85</span>&#160; 5855, 6688, 7391, <span class="comment">// 4 1000000</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; 5886, 6444, 6923, <span class="comment">// 5 1000000</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; 5885, 6254, 6594, <span class="comment">// 6 1000000</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; 5889, 6134, 6326, <span class="comment">// 7 1000000</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; 5900, 6072, 6203, <span class="comment">// 8 1000000</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; 5875, 6005, 6089, <span class="comment">// 9 1000000</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; 5871, 5980, 6040, <span class="comment">// 10 1000000</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; 5889, 5941, 6015, <span class="comment">// 11 1000000</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; 5871, 5926, 5973, <span class="comment">// 12 1046369</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; 5866, 5901, 5915, <span class="comment">// 13 1043411</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; 5880, 5914, 5953, <span class="comment">// 14 1000297</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;}; <span class="comment">// lgK numtrials</span></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">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="keywordtype">double</span> get_icon_confidence_lb(<span class="keyword">const</span> cpc_sketch_alloc&lt;A&gt;&amp; sketch, <span class="keywordtype">int</span> kappa) {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keywordflow">if</span> (sketch.get_num_coupons() == 0) <span class="keywordflow">return</span> 0.0;</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> lg_k = sketch.get_lg_k();</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keyword">const</span> <span class="keywordtype">long</span> k = 1 &lt;&lt; lg_k;</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="keywordflow">if</span> (lg_k &lt; 4) <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;lgk &lt; 4&quot;</span>);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="keywordflow">if</span> (kappa &lt; 1 || kappa &gt; 3) <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;kappa must be between 1 and 3&quot;</span>);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keywordtype">double</span> x = ICON_ERROR_CONSTANT;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="keywordflow">if</span> (lg_k &lt;= 14) x = ((double) ICON_HIGH_SIDE_DATA[3 * (lg_k - 4) + (kappa - 1)]) / 10000.0;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> rel = x / sqrt(k);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> eps = kappa * rel;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> est = sketch.get_icon_estimate();</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keywordtype">double</span> result = est / (1.0 + eps);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> check = sketch.get_num_coupons();</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keywordflow">if</span> (result &lt; check) result = check;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;}</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; </div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;<span class="keywordtype">double</span> get_icon_confidence_ub(<span class="keyword">const</span> cpc_sketch_alloc&lt;A&gt;&amp; sketch, <span class="keywordtype">int</span> kappa) {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <span class="keywordflow">if</span> (sketch.get_num_coupons() == 0) <span class="keywordflow">return</span> 0.0;</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> lg_k = sketch.get_lg_k();</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="keyword">const</span> <span class="keywordtype">long</span> k = 1 &lt;&lt; lg_k;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="keywordflow">if</span> (lg_k &lt; 4) <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;lgk &lt; 4&quot;</span>);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="keywordflow">if</span> (kappa &lt; 1 || kappa &gt; 3) <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;kappa must be between 1 and 3&quot;</span>);</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="keywordtype">double</span> x = ICON_ERROR_CONSTANT;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keywordflow">if</span> (lg_k &lt;= 14) x = ((double) ICON_LOW_SIDE_DATA[3 * (lg_k - 4) + (kappa - 1)]) / 10000.0;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> rel = x / sqrt(k);</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> eps = kappa * rel;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> est = sketch.get_icon_estimate();</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> result = est / (1.0 - eps);</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keywordflow">return</span> ceil(result); <span class="comment">// widening for coverage</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;}</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;<span class="keywordtype">double</span> get_hip_confidence_lb(<span class="keyword">const</span> cpc_sketch_alloc&lt;A&gt;&amp; sketch, <span class="keywordtype">int</span> kappa) {</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keywordflow">if</span> (sketch.get_num_coupons() == 0) <span class="keywordflow">return</span> 0.0;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> lg_k = sketch.get_lg_k();</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="keyword">const</span> <span class="keywordtype">long</span> k = 1 &lt;&lt; lg_k;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="keywordflow">if</span> (lg_k &lt; 4) <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;lgk &lt; 4&quot;</span>);</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keywordflow">if</span> (kappa &lt; 1 || kappa &gt; 3) <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;kappa must be between 1 and 3&quot;</span>);</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="keywordtype">double</span> x = HIP_ERROR_CONSTANT;</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="keywordflow">if</span> (lg_k &lt;= 14) x = ((double) HIP_HIGH_SIDE_DATA[3 * (lg_k - 4) + (kappa - 1)]) / 10000.0;</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> rel = x / (sqrt((<span class="keywordtype">double</span>) k));</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> eps = ((double) kappa) * rel;</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> est = sketch.get_hip_estimate();</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keywordtype">double</span> result = est / (1.0 + eps);</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> check = (double) sketch.get_num_coupons();</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keywordflow">if</span> (result &lt; check) result = check;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="keywordflow">return</span> result;</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; </div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;<span class="keywordtype">double</span> get_hip_confidence_ub(<span class="keyword">const</span> cpc_sketch_alloc&lt;A&gt;&amp; sketch, <span class="keywordtype">int</span> kappa) {</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keywordflow">if</span> (sketch.get_num_coupons() == 0) <span class="keywordflow">return</span> 0.0;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> lg_k = sketch.get_lg_k();</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <span class="keyword">const</span> <span class="keywordtype">long</span> k = 1 &lt;&lt; lg_k;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <span class="keywordflow">if</span> (lg_k &lt; 4) <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;lgk &lt; 4&quot;</span>);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; <span class="keywordflow">if</span> (kappa &lt; 1 || kappa &gt; 3) <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;kappa must be between 1 and 3&quot;</span>);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; <span class="keywordtype">double</span> x = HIP_ERROR_CONSTANT;</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160; <span class="keywordflow">if</span> (lg_k &lt;= 14) x = ((double) HIP_LOW_SIDE_DATA[3 * (lg_k - 4) + (kappa - 1)]) / 10000.0;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> rel = x / sqrt(k);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> eps = kappa * rel;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> est = sketch.get_hip_estimate();</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> result = est / (1.0 - eps);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keywordflow">return</span> ceil(result); <span class="comment">// widening for coverage</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;}</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;} <span class="comment">/* namespace datasketches */</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160;<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>
</div><!-- fragment --></div><!-- contents -->
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Generated by&#160;<a href="https://www.doxygen.org/index.html"><img class="footer" src="doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.1
</small></address>
</body>
</html>