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<a href="BasicStatistics_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>
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<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#ifndef OPENMS_MATH_STATISTICS_BASICSTATISTICS_H</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define OPENMS_MATH_STATISTICS_BASICSTATISTICS_H</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</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="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;ostream&gt;</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;numeric&gt;</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="keyword">namespace </span>OpenMS</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;{</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  <span class="keyword">namespace </span>Math</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  {</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> RealT = DoubleReal&gt;</div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html">   68</a></span>&#160;    <span class="keyword">class</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html">BasicStatistics</a></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;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a3ebd1e03ef474a8e9aca622ac8d4d09e">   75</a></span>&#160;      <span class="keyword">typedef</span> RealT <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a3ebd1e03ef474a8e9aca622ac8d4d09e">RealType</a>;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#ab5a4bda0d413bc762ab9516542d5e1a4">   77</a></span>&#160;      <span class="keyword">typedef</span> std::vector&lt;RealType&gt; <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#ab5a4bda0d413bc762ab9516542d5e1a4">probability_container</a>;</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a2e87605fa4e8c1dcfa4d7510b289b9a4">   78</a></span>&#160;      <span class="keyword">typedef</span> std::vector&lt;RealType&gt; <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a2e87605fa4e8c1dcfa4d7510b289b9a4">coordinate_container</a>;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a37661e86730a38300881a970593a6e25">   81</a></span>&#160;      <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a37661e86730a38300881a970593a6e25">BasicStatistics</a>() :</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        mean_(0),</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        variance_(0),</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        sum_(0)</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      {}</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a38c99f132f217d7299f9d73fdbcc2ca1">   88</a></span>&#160;      <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a38c99f132f217d7299f9d73fdbcc2ca1">BasicStatistics</a>(<a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html">BasicStatistics</a> <span class="keyword">const</span> &amp; arg) :</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        mean_(arg.mean_),</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        variance_(arg.variance_),</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        sum_(arg.sum_)</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;</div>
<div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a79f8a2803d294b4cfea47c07e12022f0">   95</a></span>&#160;      <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html">BasicStatistics</a> &amp; <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a79f8a2803d294b4cfea47c07e12022f0">operator=</a>(<a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html">BasicStatistics</a> <span class="keyword">const</span> &amp; arg)</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;        mean_      = arg.<a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#af5fcf4743b1cd35f7f1b99eb97d734c6">mean_</a>;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        variance_  = arg.<a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#ad4c561ca9ff3ae2aaeabf62482bcad54">variance_</a>;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        sum_       = arg.<a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a9b6d604013527167ba997fddfbe99e76">sum_</a>;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</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;</div>
<div class="line"><a name="l00104"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#ac8bb3912a3ce86b15842e79d0b421204">  104</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#ac8bb3912a3ce86b15842e79d0b421204">clear</a>()</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      {</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        mean_ = 0;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        variance_ = 0;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        sum_ = 0;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      }</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> ProbabilityIterator&gt;</div>
<div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a6068425aeb34eec009695897d0408453">  114</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a6068425aeb34eec009695897d0408453">update</a>(ProbabilityIterator probability_begin,</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                  ProbabilityIterator <span class="keyword">const</span> probability_end</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                  )</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      {</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        clear();</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordtype">unsigned</span> pos = 0;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        ProbabilityIterator iter = probability_begin;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keywordflow">for</span> (; iter != probability_end; ++iter, ++pos)</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        {</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          sum_  += *iter;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          mean_ += *iter * pos;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        }</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        mean_ /= sum_;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">for</span> (iter = probability_begin, pos = 0; iter != probability_end; ++iter, ++pos)</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;          RealType diff = RealType(pos) - mean_;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          diff *= diff;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          variance_ += *iter * diff;</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;        variance_ /= sum_;</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;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> ProbabilityIterator, <span class="keyword">typename</span> CoordinateIterator&gt;</div>
<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a74998f835798420ad045536c0c2a3106">  141</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a74998f835798420ad045536c0c2a3106">update</a>(ProbabilityIterator <span class="keyword">const</span> probability_begin,</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                  ProbabilityIterator <span class="keyword">const</span> probability_end,</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                  CoordinateIterator  <span class="keyword">const</span> coordinate_begin</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;        clear();</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        ProbabilityIterator prob_iter = probability_begin;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        CoordinateIterator  coord_iter = coordinate_begin;</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="keywordflow">for</span> (; prob_iter != probability_end; ++prob_iter, ++coord_iter)</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;          sum_  += *prob_iter;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;          mean_ += *prob_iter * *coord_iter;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        }</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        mean_ /= sum_;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        <span class="keywordflow">for</span> (prob_iter = probability_begin, coord_iter = coordinate_begin;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;             prob_iter != probability_end;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;             ++prob_iter, ++coord_iter</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;             )</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        {</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;          RealType diff = *coord_iter - mean_;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;          diff *= diff;</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;          variance_ += *prob_iter * diff;</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;        variance_ /= sum_;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      }</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#af6efe0afdae7cbb85a5ac3bed200c048">  171</a></span>&#160;      RealType <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#af6efe0afdae7cbb85a5ac3bed200c048">mean</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> mean_; }</div>
<div class="line"><a name="l00172"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a3a7497c0608b1eab921b7779ab17d76f">  172</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a3a7497c0608b1eab921b7779ab17d76f">setMean</a>(RealType <span class="keyword">const</span> &amp; <a class="code" href="group__MathFunctionsStatistics.html#ga3b4f6f94ad2e4cc1c10753b5f84679c2">mean</a>) { mean_ = <a class="code" href="group__MathFunctionsStatistics.html#ga3b4f6f94ad2e4cc1c10753b5f84679c2">mean</a>; }</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a620e83f1ef3e206cacdacb1293677e05">  175</a></span>&#160;      RealType <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a620e83f1ef3e206cacdacb1293677e05">variance</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> variance_; }</div>
<div class="line"><a name="l00176"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#afd3885a9a6ee86d7faa4fd136072d842">  176</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#afd3885a9a6ee86d7faa4fd136072d842">setVariance</a>(RealType <span class="keyword">const</span> &amp; variance) { variance_ = variance; }</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div>
<div class="line"><a name="l00179"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a12bfbd1006913b0dcc37312cc5215385">  179</a></span>&#160;      RealType <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a12bfbd1006913b0dcc37312cc5215385">sum</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> sum_; }</div>
<div class="line"><a name="l00180"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#abaa46f1e8f9288b30033bf893233d801">  180</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#abaa46f1e8f9288b30033bf893233d801">setSum</a>(RealType <span class="keyword">const</span> &amp; <a class="code" href="group__MathFunctionsStatistics.html#ga55edf7ee469b3d635c367d9c83fe87f5">sum</a>) { sum_ = <a class="code" href="group__MathFunctionsStatistics.html#ga55edf7ee469b3d635c367d9c83fe87f5">sum</a>; }</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;</div>
<div class="line"><a name="l00187"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a2acdc69dd22185365caf6fa00742ceca">  187</a></span>&#160;      RealType <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a2acdc69dd22185365caf6fa00742ceca">normalDensity_sqrt2pi</a>(RealType coordinate)<span class="keyword"> const</span></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="keyword">      </span>{</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        coordinate -= <a class="code" href="group__MathFunctionsStatistics.html#ga3b4f6f94ad2e4cc1c10753b5f84679c2">mean</a>();</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        coordinate *= coordinate;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        <span class="keywordflow">return</span> exp(-coordinate / RealType(2) / variance());</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;      }</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;</div>
<div class="line"><a name="l00195"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a4dae6427f61f6519c3a0c7476d607254">  195</a></span>&#160;      <span class="keyword">static</span> RealType <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a4dae6427f61f6519c3a0c7476d607254">sqrt2pi</a>() { <span class="keywordflow">return</span> 2.50662827463100050240; }</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;</div>
<div class="line"><a name="l00200"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a178228a93038d8ea487eec2c193f28fd">  200</a></span>&#160;      <span class="keyword">inline</span> RealType <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a178228a93038d8ea487eec2c193f28fd">normalDensity</a>(RealType <span class="keyword">const</span> coordinate)<span class="keyword"> const</span></div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="keyword">      </span>{</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        <span class="keywordflow">return</span> normalDensity_sqrt2pi(coordinate) / sqrt2pi();</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;      }</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;</div>
<div class="line"><a name="l00209"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a456dfc32e94e2ac35cbbd9081c4fe42e">  209</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a456dfc32e94e2ac35cbbd9081c4fe42e">normalApproximation</a>(probability_container &amp; probability)</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;      {</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;        normalApproximationHelper_(probability, probability.size());</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        <span class="keywordflow">return</span>;</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;</div>
<div class="line"><a name="l00219"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a4892fe2f1fb767c9e552e702997a160e">  219</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a4892fe2f1fb767c9e552e702997a160e">normalApproximation</a>(probability_container &amp; probability,</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;                               <span class="keyword">typename</span> probability_container::size_type <span class="keyword">const</span> size</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="l00223"></a><span class="lineno">  223</span>&#160;        probability.resize(size);</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;        normalApproximationHelper_(probability, size);</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;      }</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;</div>
<div class="line"><a name="l00233"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#aa35f57b003f2dcca163bb1f2a1add62e">  233</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#aa35f57b003f2dcca163bb1f2a1add62e">normalApproximation</a>(probability_container &amp; probability,</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;                               coordinate_container  <span class="keyword">const</span> &amp; coordinate</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;                               )</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;      {</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        probability.resize(coordinate.size());</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;        normalApproximationHelper_(probability, coordinate);</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;        <span class="keywordflow">return</span>;</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="l00246"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a7e88ce29f4aa81135d308aaf78923cb8">  246</a></span>&#160;      <span class="keyword">friend</span> std::ostream &amp; <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a7e88ce29f4aa81135d308aaf78923cb8">operator&lt;&lt;</a>(std::ostream &amp; os, <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html">BasicStatistics</a> &amp; arg)</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;      {</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;        os &lt;&lt; <span class="stringliteral">&quot;BasicStatistics:  mean=&quot;</span> &lt;&lt; arg.<a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#af6efe0afdae7cbb85a5ac3bed200c048">mean</a>() &lt;&lt; <span class="stringliteral">&quot;  variance=&quot;</span> &lt;&lt; arg.<a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a620e83f1ef3e206cacdacb1293677e05">variance</a>() &lt;&lt; <span class="stringliteral">&quot;  sum=&quot;</span> &lt;&lt; arg.<a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a12bfbd1006913b0dcc37312cc5215385">sum</a>();</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        <span class="keywordflow">return</span> os;</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;</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;</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"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#af5fcf4743b1cd35f7f1b99eb97d734c6">  257</a></span>&#160;      RealType <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#af5fcf4743b1cd35f7f1b99eb97d734c6">mean_</a>;</div>
<div class="line"><a name="l00258"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#ad4c561ca9ff3ae2aaeabf62482bcad54">  258</a></span>&#160;      RealType <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#ad4c561ca9ff3ae2aaeabf62482bcad54">variance_</a>;</div>
<div class="line"><a name="l00259"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a9b6d604013527167ba997fddfbe99e76">  259</a></span>&#160;      RealType <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a9b6d604013527167ba997fddfbe99e76">sum_</a>;</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="keyword">private</span>:</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;</div>
<div class="line"><a name="l00267"></a><span class="lineno"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a083aeb54501db50f23ed4ae68ad0cc17">  267</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#a083aeb54501db50f23ed4ae68ad0cc17">normalApproximationHelper_</a>(probability_container &amp; probability,</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;                                      <span class="keyword">typename</span> probability_container::size_type <span class="keyword">const</span> size</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;      {</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;        RealType gaussSum = 0;</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;        <span class="keyword">typename</span> coordinate_container::size_type i;</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;        <span class="comment">// precondition size == probability.size() is guaranteed by wrappers.</span></div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;        <span class="keywordflow">for</span> (i = 0; i &lt; size; ++i)</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;        {</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;          gaussSum += normalDensity_sqrt2pi(RealType(i));</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;        }</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;        <span class="keywordflow">for</span> (i = 0; i &lt; size; ++i)</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        {</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;          probability[i] = normalDensity_sqrt2pi(RealType(i)) / gaussSum * <a class="code" href="group__MathFunctionsStatistics.html#ga55edf7ee469b3d635c367d9c83fe87f5">sum</a>();</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;        }</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;      }</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"><a class="line" href="classOpenMS_1_1Math_1_1BasicStatistics.html#abeefb0754f80b64085df1db847181a23">  287</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classOpenMS_1_1Math_1_1BasicStatistics.html#abeefb0754f80b64085df1db847181a23">normalApproximationHelper_</a>(probability_container &amp; probability,</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;                                      coordinate_container <span class="keyword">const</span> &amp; coordinate</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;                                      )</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;        RealType gaussSum = 0;</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;        <span class="keyword">typename</span> coordinate_container::size_type i;</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;        <span class="keyword">typename</span> coordinate_container::size_type <span class="keyword">const</span> size = coordinate.size();</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;        <span class="keywordflow">for</span> (i = 0; i &lt; size; ++i)</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;        {</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;          gaussSum += normalDensity_sqrt2pi(coordinate[i]);</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;        }</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;        <span class="keywordflow">for</span> (i = 0; i &lt; size; ++i)</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;        {</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;          probability[i] = normalDensity_sqrt2pi(coordinate[i]) / gaussSum * <a class="code" href="group__MathFunctionsStatistics.html#ga55edf7ee469b3d635c367d9c83fe87f5">sum</a>();</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;        }</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;      }</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;    };</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;  }   <span class="comment">// namespace Math</span></div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;} <span class="comment">// namespace OpenMS</span></div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;<span class="preprocessor">#endif // OPENMS_MATH_STATISTICS_BASICSTATISTICS_H</span></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_abaa46f1e8f9288b30033bf893233d801"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#abaa46f1e8f9288b30033bf893233d801">OpenMS::Math::BasicStatistics::setSum</a></div><div class="ttdeci">void setSum(RealType const &amp;sum)</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:180</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_ab5a4bda0d413bc762ab9516542d5e1a4"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#ab5a4bda0d413bc762ab9516542d5e1a4">OpenMS::Math::BasicStatistics::probability_container</a></div><div class="ttdeci">std::vector&lt; RealType &gt; probability_container</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:77</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_ad4c561ca9ff3ae2aaeabf62482bcad54"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#ad4c561ca9ff3ae2aaeabf62482bcad54">OpenMS::Math::BasicStatistics::variance_</a></div><div class="ttdeci">RealType variance_</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:258</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a12bfbd1006913b0dcc37312cc5215385"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a12bfbd1006913b0dcc37312cc5215385">OpenMS::Math::BasicStatistics::sum</a></div><div class="ttdeci">RealType sum() const </div><div class="ttdoc">Returns the sum. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:179</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="classOpenMS_1_1Math_1_1BasicStatistics_html_a178228a93038d8ea487eec2c193f28fd"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a178228a93038d8ea487eec2c193f28fd">OpenMS::Math::BasicStatistics::normalDensity</a></div><div class="ttdeci">RealType normalDensity(RealType const coordinate) const </div><div class="ttdoc">See normalDensity_sqrt2pi(). Returns the density of the normal distribution at point. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:200</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_afd3885a9a6ee86d7faa4fd136072d842"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#afd3885a9a6ee86d7faa4fd136072d842">OpenMS::Math::BasicStatistics::setVariance</a></div><div class="ttdeci">void setVariance(RealType const &amp;variance)</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:176</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="classOpenMS_1_1Math_1_1BasicStatistics_html_aa35f57b003f2dcca163bb1f2a1add62e"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#aa35f57b003f2dcca163bb1f2a1add62e">OpenMS::Math::BasicStatistics::normalApproximation</a></div><div class="ttdeci">void normalApproximation(probability_container &amp;probability, coordinate_container const &amp;coordinate)</div><div class="ttdoc">The argument probability is filled with values according to the normal approximation. The second argument coordinate contains the positions where the approximation takes place. probability.size() is set to coordinate.size(). </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:233</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_af5fcf4743b1cd35f7f1b99eb97d734c6"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#af5fcf4743b1cd35f7f1b99eb97d734c6">OpenMS::Math::BasicStatistics::mean_</a></div><div class="ttdeci">RealType mean_</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:257</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a620e83f1ef3e206cacdacb1293677e05"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a620e83f1ef3e206cacdacb1293677e05">OpenMS::Math::BasicStatistics::variance</a></div><div class="ttdeci">RealType variance() const </div><div class="ttdoc">Returns the variance. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:175</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_af6efe0afdae7cbb85a5ac3bed200c048"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#af6efe0afdae7cbb85a5ac3bed200c048">OpenMS::Math::BasicStatistics::mean</a></div><div class="ttdeci">RealType mean() const </div><div class="ttdoc">Returns the mean. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:171</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a6068425aeb34eec009695897d0408453"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a6068425aeb34eec009695897d0408453">OpenMS::Math::BasicStatistics::update</a></div><div class="ttdeci">void update(ProbabilityIterator probability_begin, ProbabilityIterator const probability_end)</div><div class="ttdoc">This does the actual calculation. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:114</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html">OpenMS::Math::BasicStatistics</a></div><div class="ttdoc">Calculates some basic statistical parameters of a distribution: sum, mean, variance, and provides the normal approximation. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:68</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_abeefb0754f80b64085df1db847181a23"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#abeefb0754f80b64085df1db847181a23">OpenMS::Math::BasicStatistics::normalApproximationHelper_</a></div><div class="ttdeci">void normalApproximationHelper_(probability_container &amp;probability, coordinate_container const &amp;coordinate)</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:287</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a2acdc69dd22185365caf6fa00742ceca"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a2acdc69dd22185365caf6fa00742ceca">OpenMS::Math::BasicStatistics::normalDensity_sqrt2pi</a></div><div class="ttdeci">RealType normalDensity_sqrt2pi(RealType coordinate) const </div><div class="ttdoc">Returns the density of the normal approximation at point, multiplied by sqrt( 2 * pi )...</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:187</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a083aeb54501db50f23ed4ae68ad0cc17"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a083aeb54501db50f23ed4ae68ad0cc17">OpenMS::Math::BasicStatistics::normalApproximationHelper_</a></div><div class="ttdeci">void normalApproximationHelper_(probability_container &amp;probability, typename probability_container::size_type const size)</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:267</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a38c99f132f217d7299f9d73fdbcc2ca1"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a38c99f132f217d7299f9d73fdbcc2ca1">OpenMS::Math::BasicStatistics::BasicStatistics</a></div><div class="ttdeci">BasicStatistics(BasicStatistics const &amp;arg)</div><div class="ttdoc">Copy constructor. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:88</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a456dfc32e94e2ac35cbbd9081c4fe42e"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a456dfc32e94e2ac35cbbd9081c4fe42e">OpenMS::Math::BasicStatistics::normalApproximation</a></div><div class="ttdeci">void normalApproximation(probability_container &amp;probability)</div><div class="ttdoc">The argument probability is filled with values according to the normal approximation. Its size() is not changed. The approximation takes place at coordinate positions 0, 1, ..., size()-1. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:209</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a2e87605fa4e8c1dcfa4d7510b289b9a4"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a2e87605fa4e8c1dcfa4d7510b289b9a4">OpenMS::Math::BasicStatistics::coordinate_container</a></div><div class="ttdeci">std::vector&lt; RealType &gt; coordinate_container</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:78</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a4dae6427f61f6519c3a0c7476d607254"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a4dae6427f61f6519c3a0c7476d607254">OpenMS::Math::BasicStatistics::sqrt2pi</a></div><div class="ttdeci">static RealType sqrt2pi()</div><div class="ttdoc">Returns sqrt( 2 * pi ), which is useful to normalize the result of normalDensity_sqrt2pi(). </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:195</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="classOpenMS_1_1Math_1_1BasicStatistics_html_a74998f835798420ad045536c0c2a3106"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a74998f835798420ad045536c0c2a3106">OpenMS::Math::BasicStatistics::update</a></div><div class="ttdeci">void update(ProbabilityIterator const probability_begin, ProbabilityIterator const probability_end, CoordinateIterator const coordinate_begin)</div><div class="ttdoc">This does the actual calculation. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:141</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a3a7497c0608b1eab921b7779ab17d76f"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a3a7497c0608b1eab921b7779ab17d76f">OpenMS::Math::BasicStatistics::setMean</a></div><div class="ttdeci">void setMean(RealType const &amp;mean)</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:172</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_ac8bb3912a3ce86b15842e79d0b421204"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#ac8bb3912a3ce86b15842e79d0b421204">OpenMS::Math::BasicStatistics::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">Set sum, mean, and variance to zero. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:104</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a9b6d604013527167ba997fddfbe99e76"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a9b6d604013527167ba997fddfbe99e76">OpenMS::Math::BasicStatistics::sum_</a></div><div class="ttdeci">RealType sum_</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:259</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a4892fe2f1fb767c9e552e702997a160e"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a4892fe2f1fb767c9e552e702997a160e">OpenMS::Math::BasicStatistics::normalApproximation</a></div><div class="ttdeci">void normalApproximation(probability_container &amp;probability, typename probability_container::size_type const size)</div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:219</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a7e88ce29f4aa81135d308aaf78923cb8"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a7e88ce29f4aa81135d308aaf78923cb8">OpenMS::Math::BasicStatistics::operator&lt;&lt;</a></div><div class="ttdeci">friend std::ostream &amp; operator&lt;&lt;(std::ostream &amp;os, BasicStatistics &amp;arg)</div><div class="ttdoc">A convenient overload for debugging purposes. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:246</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a79f8a2803d294b4cfea47c07e12022f0"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a79f8a2803d294b4cfea47c07e12022f0">OpenMS::Math::BasicStatistics::operator=</a></div><div class="ttdeci">BasicStatistics &amp; operator=(BasicStatistics const &amp;arg)</div><div class="ttdoc">Assignment. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:95</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a37661e86730a38300881a970593a6e25"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a37661e86730a38300881a970593a6e25">OpenMS::Math::BasicStatistics::BasicStatistics</a></div><div class="ttdeci">BasicStatistics()</div><div class="ttdoc">Default constructor. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:81</div></div>
<div class="ttc" id="classOpenMS_1_1Math_1_1BasicStatistics_html_a3ebd1e03ef474a8e9aca622ac8d4d09e"><div class="ttname"><a href="classOpenMS_1_1Math_1_1BasicStatistics.html#a3ebd1e03ef474a8e9aca622ac8d4d09e">OpenMS::Math::BasicStatistics::RealType</a></div><div class="ttdeci">RealT RealType</div><div class="ttdoc">The real type specified as template argument. </div><div class="ttdef"><b>Definition:</b> BasicStatistics.h:75</div></div>
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