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<a href="StatisticFunctions_8h.html">Go to the documentation of this file.</a><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">//                   OpenMS -- Open-Source Mass Spectrometry</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">// --------------------------------------------------------------------------</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright The OpenMS Team -- Eberhard Karls University Tuebingen,</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// ETH Zurich, and Freie Universitaet Berlin 2002-2013.</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment">// $Maintainer: Clemens Groepl $</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment">// $Authors: Clemens Groepl, Johannes Junker, Mathias Walzer$</span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment">// --------------------------------------------------------------------------</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;numeric&gt;</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="Types_8h.html">OpenMS/CONCEPT/Types.h</a>&gt;</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;boost/lambda/lambda.hpp&gt;</span></div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;boost/lambda/casts.hpp&gt;</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;boost/function/function_base.hpp&gt;</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#ifndef OPENMS_MATH_STATISTICS_STATISTICFUNCTIONS_H</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define OPENMS_MATH_STATISTICS_STATISTICFUNCTIONS_H</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="keyword">namespace </span>OpenMS</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;{</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;  <span class="keyword">namespace </span>Math</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  {</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> IteratorType&gt;</div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="group__MathFunctionsStatistics.html#ga55edf7ee469b3d635c367d9c83fe87f5">   56</a></span>&#160;    <span class="keyword">static</span> <a class="code" href="classdouble.html">DoubleReal</a> <a class="code" href="group__MathFunctionsStatistics.html#ga55edf7ee469b3d635c367d9c83fe87f5">sum</a>(IteratorType begin, IteratorType end)</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    {</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">return</span> std::accumulate(begin, end, 0.0);</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="l00068"></a><span class="lineno">   68</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> IteratorType&gt;</div>
<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="group__MathFunctionsStatistics.html#ga3b4f6f94ad2e4cc1c10753b5f84679c2">   69</a></span>&#160;    <span class="keyword">static</span> <a class="code" href="classdouble.html">DoubleReal</a> <a class="code" href="group__MathFunctionsStatistics.html#ga3b4f6f94ad2e4cc1c10753b5f84679c2">mean</a>(IteratorType begin, IteratorType end)</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    {</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="group__Concept.html#gae113cb41304c6692c7bf5d0624dc6f0f">SignedSize</a> size = std::distance(begin, end);</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">if</span> (size &lt;= 0)</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      {</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="classOpenMS_1_1Exception_1_1InvalidRange.html">Exception::InvalidRange</a>(__FILE__, __LINE__, __PRETTY_FUNCTION__);</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      }</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="group__MathFunctionsStatistics.html#ga55edf7ee469b3d635c367d9c83fe87f5">sum</a>(begin, end) / size;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    }</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> IteratorType&gt;</div>
<div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="group__MathFunctionsStatistics.html#gafcd2e67b4c1266a30180148566bb4566">   91</a></span>&#160;    <span class="keyword">static</span> <a class="code" href="classdouble.html">DoubleReal</a> <a class="code" href="group__MathFunctionsStatistics.html#gafcd2e67b4c1266a30180148566bb4566">median</a>(IteratorType begin, IteratorType end, <span class="keywordtype">bool</span> sorted = FALSE)</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    {</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="group__Concept.html#gaf9ecec2d692138fab9167164a457cbd4">Size</a> size = std::distance(begin, end);</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">if</span> (size == 0)</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;        <span class="keywordflow">throw</span> <a class="code" href="classOpenMS_1_1Exception_1_1InvalidRange.html">Exception::InvalidRange</a>(__FILE__, __LINE__, __PRETTY_FUNCTION__);</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      }</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">if</span> (!sorted)</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      {</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        std::sort(begin, end);</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="keywordflow">if</span> (size % 2 == 0)        <span class="comment">// even size =&gt; average two middle values</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      {</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        IteratorType it1 = begin;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        std::advance(it1, size / 2 - 1);</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        IteratorType it2 = it1;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        std::advance(it2, 1);</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">return</span> (*it1 + *it2) / 2.0;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      }</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="keywordflow">else</span></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;        IteratorType it = begin;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        std::advance(it, (size - 1) / 2);</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">return</span> *it;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      }</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    }</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</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> IteratorType&gt;</div>
<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="group__MathFunctionsStatistics.html#gae779ba2dbd04c288fa89326f31ebdb61">  133</a></span>&#160;    <span class="keyword">static</span> <a class="code" href="classdouble.html">DoubleReal</a> <a class="code" href="group__MathFunctionsStatistics.html#gae779ba2dbd04c288fa89326f31ebdb61">quantile</a>(IteratorType begin, IteratorType end, <a class="code" href="classunsigned_01int.html">UInt</a> <a class="code" href="group__MathFunctionsStatistics.html#gae779ba2dbd04c288fa89326f31ebdb61">quantile</a>, <span class="keywordtype">bool</span> sorted = FALSE)</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;      <a class="code" href="group__Concept.html#gaf9ecec2d692138fab9167164a457cbd4">Size</a> size = std::distance(begin, end);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <span class="keywordflow">if</span> (size == 0)</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      {</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="classOpenMS_1_1Exception_1_1InvalidRange.html">Exception::InvalidRange</a>(__FILE__, __LINE__, __PRETTY_FUNCTION__);</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;      }</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      <span class="keywordflow">if</span> (quantile &gt; 100 || quantile &lt; 1) <span class="comment">//TODO is 0 quantile a valid request?</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      {</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="classOpenMS_1_1Exception_1_1InvalidRange.html">Exception::InvalidRange</a>(__FILE__, __LINE__, __PRETTY_FUNCTION__);</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      }</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;      <span class="keywordtype">int</span> l = floor( (<span class="keywordtype">double</span>(quantile) * (<span class="keywordtype">double</span>(size) / 100)) + 0.5); <span class="comment">// will not be negative, so this is round nearest</span></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;      <span class="keywordflow">if</span> (!sorted)</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;        std::sort(begin, end);</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;      }</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;      IteratorType it = begin;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;      std::advance(it, l - 1);</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;      <span class="keywordflow">return</span> *it;</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;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> IteratorType1, <span class="keyword">typename</span> IteratorType2&gt;</div>
<div class="line"><a name="l00169"></a><span class="lineno"><a class="line" href="group__MathFunctionsStatistics.html#gaf576fb029562af7a9cba9ad7b61fff69">  169</a></span>&#160;    <span class="keyword">static</span> <a class="code" href="classdouble.html">DoubleReal</a> <a class="code" href="group__MathFunctionsStatistics.html#gaf576fb029562af7a9cba9ad7b61fff69">meanSquareError</a>(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    {</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;      <span class="comment">//no data or different lengths</span></div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;      <a class="code" href="group__Concept.html#gae113cb41304c6692c7bf5d0624dc6f0f">SignedSize</a> dist = std::distance(begin_a, end_a);</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;      <span class="keywordflow">if</span> (dist == 0 || dist != std::distance(begin_b, end_b))</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;        <span class="keywordflow">throw</span> <a class="code" href="classOpenMS_1_1Exception_1_1InvalidRange.html">Exception::InvalidRange</a>(__FILE__, __LINE__, __PRETTY_FUNCTION__);</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;      }</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> error = 0;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;      <span class="keywordflow">while</span> (begin_a != end_a)</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;      {</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        <a class="code" href="classdouble.html">DoubleReal</a> tmp(*begin_a - *begin_b);</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        error += tmp * tmp;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        ++begin_a;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        ++begin_b;</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;      }</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;      <span class="keywordflow">return</span> error / dist;</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;    }</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> IteratorType1, <span class="keyword">typename</span> IteratorType2&gt;</div>
<div class="line"><a name="l00200"></a><span class="lineno"><a class="line" href="group__MathFunctionsStatistics.html#gacea2a92810337b295cf1a1fde5f8aa62">  200</a></span>&#160;    <span class="keyword">static</span> <a class="code" href="classdouble.html">DoubleReal</a> <a class="code" href="group__MathFunctionsStatistics.html#gacea2a92810337b295cf1a1fde5f8aa62">classificationRate</a>(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    {</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;      <span class="comment">//no data or different lengths</span></div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;      <a class="code" href="group__Concept.html#gae113cb41304c6692c7bf5d0624dc6f0f">SignedSize</a> dist = std::distance(begin_a, end_a);</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;      <span class="keywordflow">if</span> (dist == 0 || dist != std::distance(begin_b, end_b))</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;        <span class="keywordflow">throw</span> <a class="code" href="classOpenMS_1_1Exception_1_1InvalidRange.html">Exception::InvalidRange</a>(__FILE__, __LINE__, __PRETTY_FUNCTION__);</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;      }</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> correct = (<a class="code" href="group__Concept.html#gace75bfb1aba684e874dffee13738bd15">DoubleReal</a>) dist;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;      <span class="keywordflow">while</span> (begin_a != end_a)</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="keywordflow">if</span> ((*begin_a &lt; 0 &amp;&amp; *begin_b &gt;= 0) || (*begin_a &gt;= 0 &amp;&amp; *begin_b &lt; 0))</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;        {</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;          --correct;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;        }</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;        ++begin_a;</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;        ++begin_b;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;      }</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;      <span class="keywordflow">return</span> correct / dist;</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;</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> IteratorType1, <span class="keyword">typename</span> IteratorType2&gt;</div>
<div class="line"><a name="l00233"></a><span class="lineno"><a class="line" href="group__MathFunctionsStatistics.html#gaa5a00f16c976d14177d9f30224ab9576">  233</a></span>&#160;    <span class="keyword">static</span> <a class="code" href="classdouble.html">DoubleReal</a> <a class="code" href="group__MathFunctionsStatistics.html#gaa5a00f16c976d14177d9f30224ab9576">matthewsCorrelationCoefficient</a>(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;    {</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;      <span class="comment">//no data or different lengths</span></div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;      <a class="code" href="group__Concept.html#ga7cc214a236ad3bb6ad435bdcf5262a3f">Int</a> dist = std::distance(begin_a, end_a);</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;      <span class="keywordflow">if</span> (dist == 0 || dist != std::distance(begin_b, end_b))</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;      {</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="classOpenMS_1_1Exception_1_1InvalidRange.html">Exception::InvalidRange</a>(__FILE__, __LINE__, __PRETTY_FUNCTION__);</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;      }</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> tp = 0;</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> fp = 0;</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> tn = 0;</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> fn = 0;</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;      <span class="keywordflow">while</span> (begin_a != end_a)</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;      {</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        <span class="keywordflow">if</span> (*begin_a &lt; 0 &amp;&amp; *begin_b &gt;= 0)</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;        {</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;          ++fn;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;        }</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*begin_a &lt; 0 &amp;&amp; *begin_b &lt; 0)</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;        {</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;          ++tn;</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        }</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*begin_a &gt;= 0 &amp;&amp; *begin_b &gt;= 0)</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;        {</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;          ++tp;</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;        }</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (*begin_a &gt;= 0 &amp;&amp; *begin_b &lt; 0)</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;          ++fp;</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;        }</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;        ++begin_a;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;        ++begin_b;</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;      }</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;      <span class="keywordflow">return</span> (tp * tn - fp * fn) / sqrt((tp + fp) * (tp + fn) * (tn + fp) * (tn + fn));</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;</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> IteratorType1, <span class="keyword">typename</span> IteratorType2&gt;</div>
<div class="line"><a name="l00285"></a><span class="lineno"><a class="line" href="group__MathFunctionsStatistics.html#gac7a454e1847d508ba6635d47f49fbe8c">  285</a></span>&#160;    <span class="keyword">static</span> <a class="code" href="classdouble.html">DoubleReal</a> <a class="code" href="group__MathFunctionsStatistics.html#gac7a454e1847d508ba6635d47f49fbe8c">pearsonCorrelationCoefficient</a>(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;    {</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;      <span class="comment">//no data or different lengths</span></div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;      <a class="code" href="group__Concept.html#gae113cb41304c6692c7bf5d0624dc6f0f">SignedSize</a> dist = std::distance(begin_a, end_a);</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;      <span class="keywordflow">if</span> (dist == 0 || dist != std::distance(begin_b, end_b))</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;      {</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="classOpenMS_1_1Exception_1_1InvalidRange.html">Exception::InvalidRange</a>(__FILE__, __LINE__, __PRETTY_FUNCTION__);</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;      <span class="comment">//calculate average</span></div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> avg_a = std::accumulate(begin_a, end_a, 0.0) / dist;</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> avg_b = std::accumulate(begin_b, end_b, 0.0) / dist;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> numerator = 0;</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> denominator_a = 0;</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> denominator_b = 0;</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;      <span class="keywordflow">while</span> (begin_a != end_a)</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;      {</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;        <a class="code" href="classdouble.html">DoubleReal</a> temp_a = *begin_a - avg_a;</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;        <a class="code" href="classdouble.html">DoubleReal</a> temp_b = *begin_b - avg_b;</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;        numerator += (temp_a * temp_b);</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;        denominator_a += (temp_a * temp_a);</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;        denominator_b += (temp_b * temp_b);</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;        ++begin_a;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;        ++begin_b;</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;      }</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;      <span class="keywordflow">return</span> numerator / sqrt(denominator_a * denominator_b);</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;    }</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Value&gt;</div>
<div class="line"><a name="l00317"></a><span class="lineno"><a class="line" href="namespaceOpenMS_1_1Math.html#aa1afedb13081dd5b98600a0b8bf63059">  317</a></span>&#160;    <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="namespaceOpenMS_1_1Math.html#aa1afedb13081dd5b98600a0b8bf63059">computeRank</a>(std::vector&lt;Value&gt; &amp; w)</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;    {</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;      <a class="code" href="group__Concept.html#gaf9ecec2d692138fab9167164a457cbd4">Size</a> i = 0; <span class="comment">// main index</span></div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;      <a class="code" href="group__Concept.html#gaf9ecec2d692138fab9167164a457cbd4">Size</a> z  = 0;  <span class="comment">// &quot;secondary&quot; index</span></div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;      Value rank = 0;</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;      <a class="code" href="group__Concept.html#gaf9ecec2d692138fab9167164a457cbd4">Size</a> n = (w.size() - 1);</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;      <span class="comment">//store original indices for later</span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;      std::vector&lt;std::pair&lt;Size, Value&gt; &gt; w_idx;</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="group__Concept.html#gaf9ecec2d692138fab9167164a457cbd4">Size</a> j = 0; j &lt; w.size(); ++j)</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;        w_idx.push_back(std::make_pair(j, w[j]));</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;      }</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;      <span class="comment">//sort</span></div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;      std::sort(w_idx.begin(), w_idx.end(),</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;                boost::lambda::ret&lt;bool&gt;((&amp;boost::lambda::_1-&gt;*&amp; std::pair&lt;Size, Value&gt;::second) &lt; </div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;                                         (&amp;boost::lambda::_2-&gt;*&amp; std::pair&lt;Size, Value&gt;::second)));</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;      <span class="comment">//replace pairs &lt;orig_index, value&gt; in w_idx by pairs &lt;orig_index, rank&gt;</span></div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;      <span class="keywordflow">while</span> (i &lt; n)</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;      {</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;        <span class="comment">// test for equality with tolerance:</span></div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;        <span class="keywordflow">if</span> (fabs(w_idx[i + 1].second - w_idx[i].second) &gt; 0.0000001 * fabs(w_idx[i + 1].second)) <span class="comment">// no tie</span></div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;        {</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;          w_idx[i].second = Value(i + 1);</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;          ++i;</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="keywordflow">else</span> <span class="comment">// tie, replace by mean rank</span></div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;        {</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;          <span class="comment">// count number of ties</span></div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;          <span class="keywordflow">for</span> (z = i + 1; (z &lt;= n) &amp;&amp; fabs(w_idx[z].second - w_idx[i].second) &lt;= 0.0000001 * fabs(w_idx[z].second); ++z)</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;          {</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;          }</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;          <span class="comment">// compute mean rank of tie</span></div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;          rank = 0.5 * (i + z + 1);</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;          <span class="comment">// replace intensities by rank</span></div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="group__Concept.html#gaf9ecec2d692138fab9167164a457cbd4">Size</a> v = i; v &lt;= z - 1; ++v)</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;            w_idx[v].second = rank;</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;          }</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;          i = z;</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;      }</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;      <span class="keywordflow">if</span> (i == n)</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;        w_idx[n].second = Value(n + 1);</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;      <span class="comment">//restore original order and replace elements of w with their ranks</span></div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="group__Concept.html#gaf9ecec2d692138fab9167164a457cbd4">Size</a> j = 0; j &lt; w.size(); ++j)</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;      {</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;        w[w_idx[j].first] = w_idx[j].second;</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;      }</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;    }</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> IteratorType1, <span class="keyword">typename</span> IteratorType2&gt;</div>
<div class="line"><a name="l00379"></a><span class="lineno"><a class="line" href="group__MathFunctionsStatistics.html#ga67443c0e3d0ee860daf4f6f1e371ce2c">  379</a></span>&#160;    <span class="keyword">static</span> <a class="code" href="classdouble.html">DoubleReal</a> <a class="code" href="group__MathFunctionsStatistics.html#ga67443c0e3d0ee860daf4f6f1e371ce2c">rankCorrelationCoefficient</a>(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;    {</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;      <span class="comment">//no data or different lengths</span></div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;      <a class="code" href="group__Concept.html#gae113cb41304c6692c7bf5d0624dc6f0f">SignedSize</a> dist = std::distance(begin_a, end_a);</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;      <span class="keywordflow">if</span> (dist == 0 || dist != std::distance(begin_b, end_b))</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;      {</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="classOpenMS_1_1Exception_1_1InvalidRange.html">Exception::InvalidRange</a>(__FILE__, __LINE__, __PRETTY_FUNCTION__);</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;      }</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;      <span class="comment">// store and sort intensities of model and data</span></div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;      std::vector&lt;DoubleReal&gt; ranks_data;</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;      ranks_data.reserve(dist);</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;      std::vector&lt;DoubleReal&gt; ranks_model;</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;      ranks_model.reserve(dist);</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">while</span> (begin_a != end_a)</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;      {</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;        ranks_model.push_back(*begin_a);</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;        ranks_data.push_back(*begin_b);</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;        ++begin_a;</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;        ++begin_b;</div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;      }</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;      <span class="comment">// replace entries by their ranks</span></div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;      <a class="code" href="namespaceOpenMS_1_1Math.html#aa1afedb13081dd5b98600a0b8bf63059">computeRank</a>(ranks_data);</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;      <a class="code" href="namespaceOpenMS_1_1Math.html#aa1afedb13081dd5b98600a0b8bf63059">computeRank</a>(ranks_model);</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> mu = <a class="code" href="group__Concept.html#gace75bfb1aba684e874dffee13738bd15">DoubleReal</a>(ranks_data.size() + 1) / 2.; <span class="comment">// mean of ranks</span></div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;      <span class="comment">// Was the following, but I think the above is more correct ... (Clemens)</span></div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;      <span class="comment">// DoubleReal mu = (ranks_data.size() + 1) / 2;</span></div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> sum_model_data = 0;</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> sqsum_data = 0;</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;      <a class="code" href="classdouble.html">DoubleReal</a> sqsum_model = 0;</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="group__Concept.html#ga7cc214a236ad3bb6ad435bdcf5262a3f">Int</a> i = 0; i &lt; dist; ++i)</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;      {</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;        sum_model_data += (ranks_data[i] - mu) * (ranks_model[i] - mu);</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;        sqsum_data += (ranks_data[i] - mu) * (ranks_data[i] - mu);</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;        sqsum_model += (ranks_model[i] - mu) * (ranks_model[i] - mu);</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;      <span class="comment">// check for division by zero</span></div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;      <span class="keywordflow">if</span> (!sqsum_data || !sqsum_model)</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;      <span class="keywordflow">return</span> sum_model_data / (sqrt(sqsum_data) * sqrt(sqsum_model));</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;    }</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;  }   <span class="comment">// namespace Math</span></div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;} <span class="comment">// namespace OpenMS</span></div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;<span class="preprocessor">#endif // OPENMS_MATH_STATISTICS_STATISTICFUNCTIONS_H</span></div>
<div class="ttc" id="classunsigned_01int_html"><div class="ttname"><a href="classunsigned_01int.html">unsigned int</a></div></div>
<div class="ttc" id="group__MathFunctionsStatistics_html_gafcd2e67b4c1266a30180148566bb4566"><div class="ttname"><a href="group__MathFunctionsStatistics.html#gafcd2e67b4c1266a30180148566bb4566">OpenMS::Math::median</a></div><div class="ttdeci">static DoubleReal median(IteratorType begin, IteratorType end, bool sorted=FALSE)</div><div class="ttdoc">Calculates the median of a range of values. </div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:91</div></div>
<div class="ttc" id="Types_8h_html"><div class="ttname"><a href="Types_8h.html">Types.h</a></div></div>
<div class="ttc" id="group__MathFunctionsStatistics_html_gaa5a00f16c976d14177d9f30224ab9576"><div class="ttname"><a href="group__MathFunctionsStatistics.html#gaa5a00f16c976d14177d9f30224ab9576">OpenMS::Math::matthewsCorrelationCoefficient</a></div><div class="ttdeci">static DoubleReal matthewsCorrelationCoefficient(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div><div class="ttdoc">Calculates the Matthews correlation coefficient for the values in [begin_a, end_a) and [begin_b...</div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:233</div></div>
<div class="ttc" id="group__MathFunctionsStatistics_html_ga55edf7ee469b3d635c367d9c83fe87f5"><div class="ttname"><a href="group__MathFunctionsStatistics.html#ga55edf7ee469b3d635c367d9c83fe87f5">OpenMS::Math::sum</a></div><div class="ttdeci">static DoubleReal sum(IteratorType begin, IteratorType end)</div><div class="ttdoc">Calculates the sum of a range of values. </div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:56</div></div>
<div class="ttc" id="namespaceOpenMS_1_1Math_html_aa1afedb13081dd5b98600a0b8bf63059"><div class="ttname"><a href="namespaceOpenMS_1_1Math.html#aa1afedb13081dd5b98600a0b8bf63059">OpenMS::Math::computeRank</a></div><div class="ttdeci">static void computeRank(std::vector&lt; Value &gt; &amp;w)</div><div class="ttdoc">Replaces the elements in vector w by their ranks. </div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:317</div></div>
<div class="ttc" id="classdouble_html"><div class="ttname"><a href="classdouble.html">double</a></div></div>
<div class="ttc" id="group__MathFunctionsStatistics_html_gacea2a92810337b295cf1a1fde5f8aa62"><div class="ttname"><a href="group__MathFunctionsStatistics.html#gacea2a92810337b295cf1a1fde5f8aa62">OpenMS::Math::classificationRate</a></div><div class="ttdeci">static DoubleReal classificationRate(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div><div class="ttdoc">Calculates the classification rate for the values in [begin_a, end_a) and [begin_b, end_b) </div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:200</div></div>
<div class="ttc" id="group__Concept_html_gae113cb41304c6692c7bf5d0624dc6f0f"><div class="ttname"><a href="group__Concept.html#gae113cb41304c6692c7bf5d0624dc6f0f">OpenMS::SignedSize</a></div><div class="ttdeci">ptrdiff_t SignedSize</div><div class="ttdoc">Signed Size type e.g. used as pointer difference. </div><div class="ttdef"><b>Definition:</b> Types.h:151</div></div>
<div class="ttc" id="group__MathFunctionsStatistics_html_gae779ba2dbd04c288fa89326f31ebdb61"><div class="ttname"><a href="group__MathFunctionsStatistics.html#gae779ba2dbd04c288fa89326f31ebdb61">OpenMS::Math::quantile</a></div><div class="ttdeci">static DoubleReal quantile(IteratorType begin, IteratorType end, UInt quantile, bool sorted=FALSE)</div><div class="ttdoc">Calculates the quantile of a range of values. </div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:133</div></div>
<div class="ttc" id="group__MathFunctionsStatistics_html_gac7a454e1847d508ba6635d47f49fbe8c"><div class="ttname"><a href="group__MathFunctionsStatistics.html#gac7a454e1847d508ba6635d47f49fbe8c">OpenMS::Math::pearsonCorrelationCoefficient</a></div><div class="ttdeci">static DoubleReal pearsonCorrelationCoefficient(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div><div class="ttdoc">Calculates the Pearson correlation coefficient for the values in [begin_a, end_a) and [begin_b...</div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:285</div></div>
<div class="ttc" id="group__MathFunctionsStatistics_html_ga3b4f6f94ad2e4cc1c10753b5f84679c2"><div class="ttname"><a href="group__MathFunctionsStatistics.html#ga3b4f6f94ad2e4cc1c10753b5f84679c2">OpenMS::Math::mean</a></div><div class="ttdeci">static DoubleReal mean(IteratorType begin, IteratorType end)</div><div class="ttdoc">Calculates the mean of a range of values. </div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:69</div></div>
<div class="ttc" id="group__MathFunctionsStatistics_html_ga67443c0e3d0ee860daf4f6f1e371ce2c"><div class="ttname"><a href="group__MathFunctionsStatistics.html#ga67443c0e3d0ee860daf4f6f1e371ce2c">OpenMS::Math::rankCorrelationCoefficient</a></div><div class="ttdeci">static DoubleReal rankCorrelationCoefficient(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div><div class="ttdoc">calculates the rank correlation coefficient for the values in [begin_a, end_a) and [begin_b...</div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:379</div></div>
<div class="ttc" id="group__MathFunctionsStatistics_html_gaf576fb029562af7a9cba9ad7b61fff69"><div class="ttname"><a href="group__MathFunctionsStatistics.html#gaf576fb029562af7a9cba9ad7b61fff69">OpenMS::Math::meanSquareError</a></div><div class="ttdeci">static DoubleReal meanSquareError(IteratorType1 begin_a, IteratorType1 end_a, IteratorType2 begin_b, IteratorType2 end_b)</div><div class="ttdoc">Calculates the mean square error for the values in [begin_a, end_a) and [begin_b, end_b) ...</div><div class="ttdef"><b>Definition:</b> StatisticFunctions.h:169</div></div>
<div class="ttc" id="classOpenMS_1_1Exception_1_1InvalidRange_html"><div class="ttname"><a href="classOpenMS_1_1Exception_1_1InvalidRange.html">OpenMS::Exception::InvalidRange</a></div><div class="ttdoc">Invalid range exception. </div><div class="ttdef"><b>Definition:</b> Exception.h:286</div></div>
<div class="ttc" id="group__Concept_html_gaf9ecec2d692138fab9167164a457cbd4"><div class="ttname"><a href="group__Concept.html#gaf9ecec2d692138fab9167164a457cbd4">OpenMS::Size</a></div><div class="ttdeci">size_t Size</div><div class="ttdoc">Size type e.g. used as variable which can hold result of size() </div><div class="ttdef"><b>Definition:</b> Types.h:144</div></div>
<div class="ttc" id="group__Concept_html_ga7cc214a236ad3bb6ad435bdcf5262a3f"><div class="ttname"><a href="group__Concept.html#ga7cc214a236ad3bb6ad435bdcf5262a3f">OpenMS::Int</a></div><div class="ttdeci">int Int</div><div class="ttdoc">Signed integer type. </div><div class="ttdef"><b>Definition:</b> Types.h:100</div></div>
<div class="ttc" id="group__Concept_html_gace75bfb1aba684e874dffee13738bd15"><div class="ttname"><a href="group__Concept.html#gace75bfb1aba684e874dffee13738bd15">OpenMS::DoubleReal</a></div><div class="ttdeci">double DoubleReal</div><div class="ttdoc">Double-precision real type. </div><div class="ttdef"><b>Definition:</b> Types.h:118</div></div>
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