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<a href="../../d1/ded/windowed__median_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor">#include &lt;cstdlib&gt;</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include &lt;ctime&gt;</span> </div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#include &lt;list&gt;</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="preprocessor">#include &lt;set&gt;</span> </div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="preprocessor">#include &lt;vector&gt;</span> </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d4/ded/namespaceprobability.html">probability</a> {</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d21/namespacewindowed__median.html">windowed_median</a> {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="keyword">using </span>Window = std::list&lt;int&gt;;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="keyword">using </span>size_type = Window::size_type;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span></div>
<div class="foldopen" id="foldopen00056" data-start="{" data-end="};">
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html"> 56</a></span><span class="keyword">class </span><a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aac676369661d15a3eb782c0fee77d45d">WindowedMedian</a> {</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aafda847b152684578dab891e5268d750"> 57</a></span> <span class="keyword">const</span> size_type <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aafda847b152684578dab891e5268d750">_windowSize</a>; </div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a825a7aaef844c9f743a27b268e8569b2"> 58</a></span> Window <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a825a7aaef844c9f743a27b268e8569b2">_window</a>; </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de"> 59</a></span> std::multiset&lt;int&gt; <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de">_sortedValues</a>; </div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> std::multiset&lt;int&gt;::const_iterator</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20"> 62</a></span> <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a>; </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span></div>
<div class="foldopen" id="foldopen00069" data-start="{" data-end="}">
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a3a7f57679e9cd6c9f042dfd0612b2b24"> 69</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a3a7f57679e9cd6c9f042dfd0612b2b24">insertToSorted</a>(<span class="keywordtype">int</span> value) {</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de">_sortedValues</a>.insert(value); </div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">const</span> <span class="keyword">auto</span> sz = <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de">_sortedValues</a>.size();</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">if</span> (sz == 1) { </div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a> = <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de">_sortedValues</a>.begin();</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">if</span> (value &lt; *<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a> &amp;&amp; sz % 2 == 0) {</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> --<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a>; <span class="comment">// O(1) - traversing one step to the left child</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> }</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (value &gt;= *<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a> &amp;&amp; sz % 2 != 0) {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> ++<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a>; </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> }</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> }</div>
</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span></div>
<div class="foldopen" id="foldopen00095" data-start="{" data-end="}">
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#af544e271ea19a6fd69a6b3ed6816453e"> 95</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#af544e271ea19a6fd69a6b3ed6816453e">eraseFromSorted</a>(<span class="keywordtype">int</span> value) {</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">const</span> <span class="keyword">auto</span> sz = <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de">_sortedValues</a>.size();</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordflow">if</span> (value &lt;= *<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a> &amp;&amp; sz % 2 == 0) {</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> ++<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a>; </div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> }</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span></div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (value &gt;= *<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a> &amp;&amp; sz % 2 != 0) {</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> --<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a>; <span class="comment">// O(1) - traversing one step to the left child</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> }</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keyword">const</span> <span class="keyword">auto</span> it = <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de">_sortedValues</a>.find(value); <span class="comment">// O(logN)</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de">_sortedValues</a>.erase(it); <span class="comment">// O(logN)</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> }</div>
</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aac676369661d15a3eb782c0fee77d45d"> 123</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aac676369661d15a3eb782c0fee77d45d">WindowedMedian</a>(size_type windowSize) : <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aafda847b152684578dab891e5268d750">_windowSize</a>(windowSize){};</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span></div>
<div class="foldopen" id="foldopen00129" data-start="{" data-end="}">
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a6b52b7851750f28d53508e63c52a69f7"> 129</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a6b52b7851750f28d53508e63c52a69f7">insert</a>(<span class="keywordtype">int</span> value) {</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a825a7aaef844c9f743a27b268e8569b2">_window</a>.push_back(value);</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a3a7f57679e9cd6c9f042dfd0612b2b24">insertToSorted</a>(value); <span class="comment">// Insert value to the multi-value BST - O(logN)</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a825a7aaef844c9f743a27b268e8569b2">_window</a>.size() &gt; <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aafda847b152684578dab891e5268d750">_windowSize</a>) { </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#af544e271ea19a6fd69a6b3ed6816453e">eraseFromSorted</a>(</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a825a7aaef844c9f743a27b268e8569b2">_window</a>.front()); </div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a825a7aaef844c9f743a27b268e8569b2">_window</a>.pop_front(); </div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> }</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> }</div>
</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span></div>
<div class="foldopen" id="foldopen00148" data-start="{" data-end="}">
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a938cafbdf70dc01e86e9bb12d29ec65d"> 148</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a938cafbdf70dc01e86e9bb12d29ec65d">getMedian</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de">_sortedValues</a>.size() % 2 != 0) {</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keywordflow">return</span> *<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a>; <span class="comment">// O(1)</span></div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> }</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">return</span> 0.5f * *<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a> + 0.5f * *next(<a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">_itMedian</a>); </div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> }</div>
</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span></div>
<div class="foldopen" id="foldopen00161" data-start="{" data-end="}">
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"><a class="line" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a61804988fcb1a6caf640f8291979aaa6"> 161</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a61804988fcb1a6caf640f8291979aaa6">getMedianNaive</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keyword">auto</span> window = <a class="code hl_variable" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a825a7aaef844c9f743a27b268e8569b2">_window</a>;</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> window.sort(); </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">auto</span> median =</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> *next(window.begin(),</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> window.size() / 2); </div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordflow">if</span> (window.size() % 2 != 0) {</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordflow">return</span> median;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> }</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keywordflow">return</span> 0.5f * median +</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> 0.5f * *next(window.begin(), window.size() / 2 - 1); </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> }</div>
</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span>};</div>
</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span>} <span class="comment">// namespace windowed_median</span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span>} <span class="comment">// namespace probability</span></div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span></div>
<div class="foldopen" id="foldopen00182" data-start="{" data-end="}">
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"><a class="line" href="../../d1/ded/windowed__median_8cpp.html#a6dc652a36ea42ba262c4e4236e3e6601"> 182</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(<span class="keyword">const</span> std::vector&lt;int&gt; &amp;vals, <span class="keywordtype">int</span> windowSize) {</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <a class="code hl_class" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html">probability::windowed_median::WindowedMedian</a> windowedMedian(windowSize);</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> val : vals) {</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> windowedMedian.<a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a6b52b7851750f28d53508e63c52a69f7">insert</a>(val);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> assert(windowedMedian.<a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a938cafbdf70dc01e86e9bb12d29ec65d">getMedian</a>() == windowedMedian.<a class="code hl_function" href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a61804988fcb1a6caf640f8291979aaa6">getMedianNaive</a>());</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> }</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span>}</div>
</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span></div>
<div class="foldopen" id="foldopen00196" data-start="{" data-end="}">
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"><a class="line" href="../../d1/ded/windowed__median_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 196</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d1/ded/windowed__median_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>({1, 2, 3, 4, 5, 6, 7, 8, 9},</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> 3); </div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>({9, 8, 7, 6, 5, 4, 3, 2, 1},</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> 3); </div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>({9, 8, 7, 6, 5, 4, 5, 6}, 4); </div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>({3, 3, 3, 3, 3, 3, 3, 3, 3}, 3); </div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>({3, 3, 3, 3, 7, 3, 3, 3, 3}, 3); </div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>({4, 3, 3, -5, -5, 1, 3, 4, 5},</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> 5); </div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>({470211272, 101027544, 1457850878, 1458777923, 2007237709, 823564440,</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> 1115438165, 1784484492, 74243042, 114807987},</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> 6);</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span></div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> std::srand(<span class="keyword">static_cast&lt;</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">&gt;</span>(std::time(<span class="keyword">nullptr</span>)));</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> std::vector&lt;int&gt; vals;</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 8; i &lt; 100; i++) {</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keyword">const</span> <span class="keyword">auto</span> n =</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> 1 + std::rand() /</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> ((RAND_MAX + 5u) / 20); </div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="keyword">auto</span> windowSize =</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> 1 + std::rand() / ((RAND_MAX + 3u) /</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> 10); </div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> vals.clear();</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> vals.reserve(n);</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> vals.push_back(</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> rand() - RAND_MAX); </div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> }</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(vals, windowSize); </div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> }</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span>}</div>
</div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html">probability::windowed_median::WindowedMedian</a></div><div class="ttdoc">A class to calculate the median of a leading sliding window at the back of a stream of integer values...</div><div class="ttdef"><b>Definition</b> <a href="#l00056">windowed_median.cpp:56</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_a3a7f57679e9cd6c9f042dfd0612b2b24"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a3a7f57679e9cd6c9f042dfd0612b2b24">probability::windowed_median::WindowedMedian::insertToSorted</a></div><div class="ttdeci">void insertToSorted(int value)</div><div class="ttdoc">Inserts a value to a sorted multi-value BST.</div><div class="ttdef"><b>Definition</b> <a href="#l00069">windowed_median.cpp:69</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_a55ae3543a76045dffcb5ec7904a32a20"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a55ae3543a76045dffcb5ec7904a32a20">probability::windowed_median::WindowedMedian::_itMedian</a></div><div class="ttdeci">std::multiset&lt; int &gt;::const_iterator _itMedian</div><div class="ttdef"><b>Definition</b> <a href="#l00062">windowed_median.cpp:62</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_a61804988fcb1a6caf640f8291979aaa6"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a61804988fcb1a6caf640f8291979aaa6">probability::windowed_median::WindowedMedian::getMedianNaive</a></div><div class="ttdeci">float getMedianNaive() const</div><div class="ttdoc">A naive and inefficient method to obtain the median of the sliding window. Used for testing!</div><div class="ttdef"><b>Definition</b> <a href="#l00161">windowed_median.cpp:161</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_a6b52b7851750f28d53508e63c52a69f7"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a6b52b7851750f28d53508e63c52a69f7">probability::windowed_median::WindowedMedian::insert</a></div><div class="ttdeci">void insert(int value)</div><div class="ttdoc">Insert a new value to the stream.</div><div class="ttdef"><b>Definition</b> <a href="#l00129">windowed_median.cpp:129</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_a825a7aaef844c9f743a27b268e8569b2"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a825a7aaef844c9f743a27b268e8569b2">probability::windowed_median::WindowedMedian::_window</a></div><div class="ttdeci">Window _window</div><div class="ttdoc">a sliding window of values along the stream</div><div class="ttdef"><b>Definition</b> <a href="#l00058">windowed_median.cpp:58</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_a938cafbdf70dc01e86e9bb12d29ec65d"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#a938cafbdf70dc01e86e9bb12d29ec65d">probability::windowed_median::WindowedMedian::getMedian</a></div><div class="ttdeci">float getMedian() const</div><div class="ttdoc">Gets the median of the values in the sliding window.</div><div class="ttdef"><b>Definition</b> <a href="#l00148">windowed_median.cpp:148</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_aac676369661d15a3eb782c0fee77d45d"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aac676369661d15a3eb782c0fee77d45d">probability::windowed_median::WindowedMedian::WindowedMedian</a></div><div class="ttdeci">WindowedMedian(size_type windowSize)</div><div class="ttdoc">Constructs a WindowedMedian object.</div><div class="ttdef"><b>Definition</b> <a href="#l00123">windowed_median.cpp:123</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_aacd76f078632faee1a8788d031e6c2de"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aacd76f078632faee1a8788d031e6c2de">probability::windowed_median::WindowedMedian::_sortedValues</a></div><div class="ttdeci">std::multiset&lt; int &gt; _sortedValues</div><div class="ttdef"><b>Definition</b> <a href="#l00059">windowed_median.cpp:59</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_aafda847b152684578dab891e5268d750"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#aafda847b152684578dab891e5268d750">probability::windowed_median::WindowedMedian::_windowSize</a></div><div class="ttdeci">const size_type _windowSize</div><div class="ttdoc">sliding window size</div><div class="ttdef"><b>Definition</b> <a href="#l00057">windowed_median.cpp:57</a></div></div>
<div class="ttc" id="aclassprobability_1_1windowed__median_1_1_windowed_median_html_af544e271ea19a6fd69a6b3ed6816453e"><div class="ttname"><a href="../../df/d34/classprobability_1_1windowed__median_1_1_windowed_median.html#af544e271ea19a6fd69a6b3ed6816453e">probability::windowed_median::WindowedMedian::eraseFromSorted</a></div><div class="ttdeci">void eraseFromSorted(int value)</div><div class="ttdoc">Erases a value from a sorted multi-value BST.</div><div class="ttdef"><b>Definition</b> <a href="#l00095">windowed_median.cpp:95</a></div></div>
<div class="ttc" id="agenerate__parentheses_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00082">generate_parentheses.cpp:82</a></div></div>
<div class="ttc" id="anamespaceprobability_html"><div class="ttname"><a href="../../d4/ded/namespaceprobability.html">probability</a></div><div class="ttdoc">Probability algorithms.</div></div>
<div class="ttc" id="anamespacewindowed__median_html"><div class="ttname"><a href="../../dd/d21/namespacewindowed__median.html">windowed_median</a></div><div class="ttdoc">Functions for the Windowed Median algorithm implementation.</div></div>
<div class="ttc" id="awindowed__median_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d1/ded/windowed__median_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00196">windowed_median.cpp:196</a></div></div>
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